LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0108035

Bert Schellekens

A. N. Schellekens, Ya. S. Stanev

Trace formulas for Annuli

10 pages; New format, one reference added, typos corrected

JHEP 0112:012,2001

10.1088/1126-6708/2001/12/012

ROM2F/2001/31, NIKHEF/01-009

hep-th

null

Assuming the completeness condition for boundaries we derive trace formulas for the annulus coefficients in 2-dimensional conformal field theory. We also derive polynomial equations that relate the annulus, Moebius and Klein bottle coefficients, and conjecture an annulus trace formula that is sensitive to the orientation of the boundaries.

[ { "created": "Tue, 7 Aug 2001 09:31:47 GMT", "version": "v1" }, { "created": "Fri, 5 Oct 2001 12:09:39 GMT", "version": "v2" } ]

2010-02-03

[ [ "Schellekens", "A. N.", "" ], [ "Stanev", "Ya. S.", "" ] ]

Assuming the completeness condition for boundaries we derive trace formulas for the annulus coefficients in 2-dimensional conformal field theory. We also derive polynomial equations that relate the annulus, Moebius and Klein bottle coefficients, and conjecture an annulus trace formula that is sensitive to the orientation of the boundaries.

18.952436

11.571151

19.514957

13.236915

14.779451

16.085505

15.009112

12.708259

14.04635

22.65819

13.62778

14.616237

18.79143

14.878963

14.136608

14.09008

15.58118

14.643303

15.696733

17.572626

14.19285

1411.5785

George Diamandis

G. A. Diamandis, B. C. Georgalas, K. Kaskavelis, P. Kouroumalou, A. B. Lahanas and G. Pavlopoulos

Inflation in $R^2$ supergravity with non-minimal superpotentials

13 pages, 9 figures, text and references added, version submitted to Phys. Lett. B

null

10.1016/j.physletb.2015.03.034

null

hep-th gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate the cosmological inflation in a class of supergravity models that are generalizations of non-supersymmetric $R^2$ models. Although such models have been extensively studied recently, especially after the launch of the PLANCK and BICEP2 data, the class of models that can be constructed has not been exhausted. In this note, working in a supergravity model that is a generalization of Cecotti's model, we show that the appearance of new superpotential terms, which are quadratic in the superfield $\, \Lambda$ that couples to the Ricci supermultiplet, alters substantially the form of the scalar potential. The arising potential has the form of the Starobinsky potential times a factor that is exponential in the inflaton field and dominates for large inflaton values. We show that the well-known Starobinsky inflation scenario is maintained only for unnaturally small fine-tuned values of the coupling describing the $\Lambda^2$ superpotential terms. A welcome feature is the possible increase of the tensor to scalar ratio $r$, within the limits set by the new Planck and BICEP2 data.

[ { "created": "Fri, 21 Nov 2014 08:00:23 GMT", "version": "v1" }, { "created": "Fri, 27 Feb 2015 11:51:29 GMT", "version": "v2" } ]

2015-06-23

[ [ "Diamandis", "G. A.", "" ], [ "Georgalas", "B. C.", "" ], [ "Kaskavelis", "K.", "" ], [ "Kouroumalou", "P.", "" ], [ "Lahanas", "A. B.", "" ], [ "Pavlopoulos", "G.", "" ] ]

We investigate the cosmological inflation in a class of supergravity models that are generalizations of non-supersymmetric $R^2$ models. Although such models have been extensively studied recently, especially after the launch of the PLANCK and BICEP2 data, the class of models that can be constructed has not been exhausted. In this note, working in a supergravity model that is a generalization of Cecotti's model, we show that the appearance of new superpotential terms, which are quadratic in the superfield $\, \Lambda$ that couples to the Ricci supermultiplet, alters substantially the form of the scalar potential. The arising potential has the form of the Starobinsky potential times a factor that is exponential in the inflaton field and dominates for large inflaton values. We show that the well-known Starobinsky inflation scenario is maintained only for unnaturally small fine-tuned values of the coupling describing the $\Lambda^2$ superpotential terms. A welcome feature is the possible increase of the tensor to scalar ratio $r$, within the limits set by the new Planck and BICEP2 data.

8.410389

8.320854

8.888391

8.316041

9.370802

8.867544

8.944155

8.389101

8.924601

10.169535

8.541999

8.429822

8.162377

8.305519

8.377003

8.65082

8.334792

8.629694

8.304408

8.304063

8.23638

1902.05951

Cameron Langer

Cameron Langer, Akshay Yelleshpur Srikant

All-loop cuts from the Amplituhedron

40 pages, 15 figures, 1 table

null

10.1007/JHEP04(2019)105

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The definition of the amplituhedron in terms of sign flips involves both one-loop constraints and the "mutual positivity" constraint. To gain an understanding of the all-loop integrand of $\mathcal{N}=4$ sYM requires understanding the crucial role played by mutual positivity. This paper is an attempt towards developing a procedure to introduce the complexities of mutual positivity in a systematic and controlled manner. As the first step in this procedure, we trivialize these constraints and understand the geometry underlying the remaining constraints to all loops and multiplicities. We present a host of configurations which correspond to various faces of the amplituhedron. The results we derive are valid at all multiplicities and loop orders for the maximally helicity violating (MHV) configurations. These include detailed derivations for the results in arXiv:1810.08208 [hep-th]. We conclude by indicating how one might move beyond trivial mutual positivity by presenting a series of configuration which re-introduce it bit by bit.

[ { "created": "Fri, 15 Feb 2019 19:00:00 GMT", "version": "v1" } ]

2019-05-01

[ [ "Langer", "Cameron", "" ], [ "Srikant", "Akshay Yelleshpur", "" ] ]

The definition of the amplituhedron in terms of sign flips involves both one-loop constraints and the "mutual positivity" constraint. To gain an understanding of the all-loop integrand of $\mathcal{N}=4$ sYM requires understanding the crucial role played by mutual positivity. This paper is an attempt towards developing a procedure to introduce the complexities of mutual positivity in a systematic and controlled manner. As the first step in this procedure, we trivialize these constraints and understand the geometry underlying the remaining constraints to all loops and multiplicities. We present a host of configurations which correspond to various faces of the amplituhedron. The results we derive are valid at all multiplicities and loop orders for the maximally helicity violating (MHV) configurations. These include detailed derivations for the results in arXiv:1810.08208 [hep-th]. We conclude by indicating how one might move beyond trivial mutual positivity by presenting a series of configuration which re-introduce it bit by bit.

12.333155

12.228831

13.083137

10.998555

12.554116

11.636386

11.76846

12.845133

11.806853

12.881311

11.3822

11.730911

12.553951

11.584734

11.500757

11.669872

11.579584

11.602876

11.756223

12.612723

11.490491

0801.4956

Jelle Hartong

E. A. Bergshoeff, J. Hartong, A. Ploegh and D. Sorokin

Q-instantons

29 pages, 1 figure

JHEP 0806:028,2008

10.1088/1126-6708/2008/06/028

UG-08-02

hep-th

null

We construct the half-supersymmetric instanton solutions that are electric-magnetically dual to the recently discussed half-supersymmetric Q7-branes. We call these instantons `Q-instantons'. Whereas the D-instanton is most conveniently described using the RR axion \chi and the dilaton \phi, the Q-instanton is most conveniently described using a different set of fields \chi' and T, where \chi' is an axionic scalar. The real part of the Q-instanton on-shell action is a function of T and the imaginary part is linear in \chi'. Discrete shifts of the axion \chi' correspond to PSL(2,Z) transformations that are of finite order. These are e.g. pure S-duality transformations relating weak and strongly coupled regimes. We argue that near each orbifold point of the quantum axion-dilaton moduli space PSL(2,Z)\PSL(2,R)/SO(2) the higher order R^4 terms in the string effective action contain contributions from an infinite sum of single multiply-charged instantons with the Q-instantons corresponding to the orbifold points \tau=i,\rho where \tau is the complex axion-dilaton field.

[ { "created": "Thu, 31 Jan 2008 19:11:23 GMT", "version": "v1" } ]

2014-11-18

[ [ "Bergshoeff", "E. A.", "" ], [ "Hartong", "J.", "" ], [ "Ploegh", "A.", "" ], [ "Sorokin", "D.", "" ] ]

We construct the half-supersymmetric instanton solutions that are electric-magnetically dual to the recently discussed half-supersymmetric Q7-branes. We call these instantons `Q-instantons'. Whereas the D-instanton is most conveniently described using the RR axion \chi and the dilaton \phi, the Q-instanton is most conveniently described using a different set of fields \chi' and T, where \chi' is an axionic scalar. The real part of the Q-instanton on-shell action is a function of T and the imaginary part is linear in \chi'. Discrete shifts of the axion \chi' correspond to PSL(2,Z) transformations that are of finite order. These are e.g. pure S-duality transformations relating weak and strongly coupled regimes. We argue that near each orbifold point of the quantum axion-dilaton moduli space PSL(2,Z)\PSL(2,R)/SO(2) the higher order R^4 terms in the string effective action contain contributions from an infinite sum of single multiply-charged instantons with the Q-instantons corresponding to the orbifold points \tau=i,\rho where \tau is the complex axion-dilaton field.

8.947765

9.44666

10.360414

8.852822

9.173672

10.130417

9.652654

8.928216

8.784741

11.574513

8.956864

8.677156

8.664941

8.491342

8.44544

8.727768

8.70577

8.56793

8.249676

8.82372

8.739657

1905.09674

Peter Millington

Peter Millington, Paul M. Saffin

Visualising quantum effective action calculations in zero dimensions

23 pages, 8 figures, J. Phys. A format. This is a peer-reviewed, un-copyedited version of an article accepted for publication/published in J. Phys. A: Math. Theor. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8121/ab37e6

J. Phys. A: Math. Theor. 52 (2019) 405401

10.1088/1751-8121/ab37e6

null

hep-th cond-mat.stat-mech math-ph math.MP quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We present an explicit treatment of the two-particle-irreducible (2PI) effective action for a zero-dimensional quantum field theory. The advantage of this simple playground is that we are required to deal only with functions rather than functionals, making complete analytic approximations accessible and full numerical evaluation of the exact result possible. Moreover, it permits us to plot intuitive graphical representations of the behaviour of the effective action, as well as the objects out of which it is built. We illustrate the subtleties of the behaviour of the sources and their convex-conjugate variables, and their relation to the various saddle points of the path integral. With this understood, we describe the convexity of the 2PI effective action and provide a comprehensive explanation of how the Maxwell construction arises in the case of multiple, classically stable saddle points, finding results that are consistent with previous studies of the one-particle-irreducible (1PI) effective action.

[ { "created": "Thu, 23 May 2019 14:19:36 GMT", "version": "v1" }, { "created": "Wed, 18 Sep 2019 14:37:48 GMT", "version": "v2" } ]

2019-09-19

[ [ "Millington", "Peter", "" ], [ "Saffin", "Paul M.", "" ] ]

We present an explicit treatment of the two-particle-irreducible (2PI) effective action for a zero-dimensional quantum field theory. The advantage of this simple playground is that we are required to deal only with functions rather than functionals, making complete analytic approximations accessible and full numerical evaluation of the exact result possible. Moreover, it permits us to plot intuitive graphical representations of the behaviour of the effective action, as well as the objects out of which it is built. We illustrate the subtleties of the behaviour of the sources and their convex-conjugate variables, and their relation to the various saddle points of the path integral. With this understood, we describe the convexity of the 2PI effective action and provide a comprehensive explanation of how the Maxwell construction arises in the case of multiple, classically stable saddle points, finding results that are consistent with previous studies of the one-particle-irreducible (1PI) effective action.

10.191054

11.346021

11.276699

10.608474

11.355847

11.678863

11.801391

10.503023

10.603623

10.768404

10.19241

10.392552

9.848446

10.093706

10.453057

9.804785

10.265875

9.72962

9.68917

10.025919

10.07678

hep-th/0612059

Jen-Chi Lee

Jen-Chi Lee and Yi Yang

Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane

9 pages,1 figure

Phys.Lett.B646:120-124,2007

10.1016/j.physletb.2007.01.022

null

hep-th

null

We calculate the absorption amplitudes of a closed string state at arbitrary mass level leading to two open string states on the D-brane at high energies. As in the case of Domain-wall scattering we studied previously, this process contains only one kinematic variable. However, in contrast to the power-law behavior of Domain-wall scattering, its form factor behaves as exponential fall-off in the high energy limit. After identifying the geometric parameter of the kinematic, we derive the linear relations (of the kinematic variable) and ratios among the high energy amplitudes corresponding to absorption of different closed string states for each fixed mass level by D-brane. This result is consistent with the coexistence of the linear relations and exponential fall-off behavior of high energy string/D-brane amplitudes.

[ { "created": "Thu, 7 Dec 2006 17:17:04 GMT", "version": "v1" }, { "created": "Thu, 14 Dec 2006 18:04:21 GMT", "version": "v2" } ]

2008-11-26

[ [ "Lee", "Jen-Chi", "" ], [ "Yang", "Yi", "" ] ]

We calculate the absorption amplitudes of a closed string state at arbitrary mass level leading to two open string states on the D-brane at high energies. As in the case of Domain-wall scattering we studied previously, this process contains only one kinematic variable. However, in contrast to the power-law behavior of Domain-wall scattering, its form factor behaves as exponential fall-off in the high energy limit. After identifying the geometric parameter of the kinematic, we derive the linear relations (of the kinematic variable) and ratios among the high energy amplitudes corresponding to absorption of different closed string states for each fixed mass level by D-brane. This result is consistent with the coexistence of the linear relations and exponential fall-off behavior of high energy string/D-brane amplitudes.

13.900269

12.067377

14.888959

12.989364

12.902658

12.707398

12.727677

12.634517

12.9256

15.943171

12.726892

13.310358

13.556664

13.289419

13.287697

13.00358

12.992628

13.273964

13.567776

13.237161

13.100623

hep-th/0511275

Joohan Lee

Soon-Tae Hong, Joohan Lee, Tae Hoon Lee, Phillial Oh

A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics

20 pages including the title, prepared in JHEP format

JHEP0602:036,2006

10.1088/1126-6708/2006/02/036

null

hep-th

null

We solve the quantum mechanical problem of a charged particle on S^2 in the background of a magnetic monopole for both bosonic and supersymmetric cases by constructing Hilbert space and realizing the fundamental operators obeying complicated Dirac bracket relations in terms of differential operators. We find the complete energy eigenfunctions. Using the lowest energy eigenstates we count the number of degeneracies and examine the supersymmetric structure of the ground states in detail.

[ { "created": "Mon, 28 Nov 2005 08:49:35 GMT", "version": "v1" }, { "created": "Tue, 20 Dec 2005 10:39:33 GMT", "version": "v2" } ]

2009-11-11

[ [ "Hong", "Soon-Tae", "" ], [ "Lee", "Joohan", "" ], [ "Lee", "Tae Hoon", "" ], [ "Oh", "Phillial", "" ] ]

We solve the quantum mechanical problem of a charged particle on S^2 in the background of a magnetic monopole for both bosonic and supersymmetric cases by constructing Hilbert space and realizing the fundamental operators obeying complicated Dirac bracket relations in terms of differential operators. We find the complete energy eigenfunctions. Using the lowest energy eigenstates we count the number of degeneracies and examine the supersymmetric structure of the ground states in detail.

12.265195

10.843146

13.413021

10.945899

10.082536

10.236946

10.813971

10.99806

10.222758

14.109077

9.832762

10.854647

12.812393

10.635756

10.770283

11.066414

10.662684

10.637283

11.109652

12.453325

10.486094

1104.2050

Michael Kiermaier

Nathaniel Craig, Henriette Elvang, Michael Kiermaier, Tracy Slatyer

Massive amplitudes on the Coulomb branch of N=4 SYM

29 pages, 1 figure

null

10.1007/JHEP12(2011)097

RUNHETC-2011-08, MCTP-11-17, PUPT-2370

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We initiate a systematic study of amplitudes with massive external particles on the Coulomb-branch of N=4 super Yang Mills theory: 1) We propose that (multi-)soft-scalar limits of massless amplitudes at the origin of moduli space can be used to determine Coulomb-branch amplitudes to leading order in the mass. This is demonstrated in numerous examples. 2) We find compact explicit expressions for several towers of tree-level amplitudes, including scattering of two massive W-bosons with any number of positive helicity gluons, valid for all values of the mass. 3) We present the general structure of superamplitudes on the Coulomb branch. For example, the n-point "MHV-band" superamplitude is proportional to a Grassmann polynomial of mixed degree 4 to 12, which is uniquely determined by supersymmetry. We find explicit tree-level superamplitudes for this MHV band and for other simple sectors of the theory. 4) Dual conformal generators are constructed, and we explore the dual conformal properties of the simplest massive amplitudes. Our compact expressions for amplitudes and superamplitudes should be of both theoretical and phenomenological interest; in particular the tree-level results carry over to truncations of the theory with less supersymmetry.

[ { "created": "Mon, 11 Apr 2011 20:06:13 GMT", "version": "v1" } ]

2015-05-27

[ [ "Craig", "Nathaniel", "" ], [ "Elvang", "Henriette", "" ], [ "Kiermaier", "Michael", "" ], [ "Slatyer", "Tracy", "" ] ]

We initiate a systematic study of amplitudes with massive external particles on the Coulomb-branch of N=4 super Yang Mills theory: 1) We propose that (multi-)soft-scalar limits of massless amplitudes at the origin of moduli space can be used to determine Coulomb-branch amplitudes to leading order in the mass. This is demonstrated in numerous examples. 2) We find compact explicit expressions for several towers of tree-level amplitudes, including scattering of two massive W-bosons with any number of positive helicity gluons, valid for all values of the mass. 3) We present the general structure of superamplitudes on the Coulomb branch. For example, the n-point "MHV-band" superamplitude is proportional to a Grassmann polynomial of mixed degree 4 to 12, which is uniquely determined by supersymmetry. We find explicit tree-level superamplitudes for this MHV band and for other simple sectors of the theory. 4) Dual conformal generators are constructed, and we explore the dual conformal properties of the simplest massive amplitudes. Our compact expressions for amplitudes and superamplitudes should be of both theoretical and phenomenological interest; in particular the tree-level results carry over to truncations of the theory with less supersymmetry.

8.068576

7.579792

8.622211

7.040767

7.528664

7.501004

7.691862

7.487739

7.269685

9.171772

7.287594

7.438176

7.849871

7.380019

7.550225

7.517618

7.568913

7.511729

7.65067

8.288238

7.611211

2207.14015

Minwoo Suh

Adolfo Guarino, Minwoo Suh

S-folds and $AdS_{3}$ flows from the D3-brane

v2: 32 pages, 9 figures, published version

JHEP 2211 (2022) 134

10.1007/JHEP11(2022)134

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate supersymmetric flows in type IIB supergravity that preserve an $SO(2,2)$ space-time symmetry and asymptote to $AdS_{5} \times S^5$ at both endpoints. The flows are constructed as Janus-type $\mathbb{R} \times AdS_{3}$ BPS domain-walls in the effective four-dimensional $[SO(1,1)\times{S}O(6)]\ltimes\mathbb{R}^{12}$ gauged maximal supergravity describing the massless sector of type IIB supergravity compactified on $S^1 \times S^{5}$. The compactification includes an S-duality hyperbolic twist along the $S^1$ which, when combined with an appropriate choice of boundary conditions for the running scalars, generates special flows that develop an S-fold regime at their core, thus enhancing the space-time symmetry there to $SO(2,3)$. Via the AdS/CFT correspondence, the flows constructed here are conjectured to describe conformal interfaces in a circle compactification of $\mathcal{N}=4$ $\textrm{SYM}_{4}$.

[ { "created": "Thu, 28 Jul 2022 11:22:55 GMT", "version": "v1" }, { "created": "Sat, 3 Dec 2022 15:39:54 GMT", "version": "v2" } ]

2022-12-14

[ [ "Guarino", "Adolfo", "" ], [ "Suh", "Minwoo", "" ] ]

We investigate supersymmetric flows in type IIB supergravity that preserve an $SO(2,2)$ space-time symmetry and asymptote to $AdS_{5} \times S^5$ at both endpoints. The flows are constructed as Janus-type $\mathbb{R} \times AdS_{3}$ BPS domain-walls in the effective four-dimensional $[SO(1,1)\times{S}O(6)]\ltimes\mathbb{R}^{12}$ gauged maximal supergravity describing the massless sector of type IIB supergravity compactified on $S^1 \times S^{5}$. The compactification includes an S-duality hyperbolic twist along the $S^1$ which, when combined with an appropriate choice of boundary conditions for the running scalars, generates special flows that develop an S-fold regime at their core, thus enhancing the space-time symmetry there to $SO(2,3)$. Via the AdS/CFT correspondence, the flows constructed here are conjectured to describe conformal interfaces in a circle compactification of $\mathcal{N}=4$ $\textrm{SYM}_{4}$.

6.910936

7.089041

8.308078

6.257001

6.589454

6.802804

7.019572

6.166934

6.653323

9.467729

6.590146

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7.730346

6.688168

6.685144

6.560418

6.491828

6.705657

6.885355

7.51364

6.774027

hep-th/9708046

Richard Madden

Ram Brustein and Richard Madden

A Model of Graceful Exit in String Cosmology

17 pages including 9 figures, RevTeX. Uses epsfig

Phys.Rev. D57 (1998) 712-724

10.1103/PhysRevD.57.712

BGU-PH-97/11

hep-th gr-qc

null

We construct, for the first time, a model of graceful exit transition from a dilaton-driven inflationary phase to a decelerated Friedman-Robertson-Walker era. Exploiting a demonstration that classical corrections can stabilize a high curvature string phase while the evolution is still in the weakly coupled regime, we show that if additional terms of the type that may result from quantum corrections to the string effective action exist, and induce violation of the null energy condition, then evolution towards a decelerated Friedman-Robertson-Walker phase is possible. We also observe that stabilizing the dilaton at a fixed value, either by capture in a potential minimum or by radiation production, may require that these quantum corrections are turned off, perhaps by non-perturbative effects or higher order contributions which overturn the null energy condition violation.

[ { "created": "Fri, 8 Aug 1997 11:38:11 GMT", "version": "v1" } ]

2009-10-30

[ [ "Brustein", "Ram", "" ], [ "Madden", "Richard", "" ] ]

We construct, for the first time, a model of graceful exit transition from a dilaton-driven inflationary phase to a decelerated Friedman-Robertson-Walker era. Exploiting a demonstration that classical corrections can stabilize a high curvature string phase while the evolution is still in the weakly coupled regime, we show that if additional terms of the type that may result from quantum corrections to the string effective action exist, and induce violation of the null energy condition, then evolution towards a decelerated Friedman-Robertson-Walker phase is possible. We also observe that stabilizing the dilaton at a fixed value, either by capture in a potential minimum or by radiation production, may require that these quantum corrections are turned off, perhaps by non-perturbative effects or higher order contributions which overturn the null energy condition violation.

11.653044

9.573742

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10.192418

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9.546714

10.037143

10.399946

10.677473

11.914257

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10.432542

11.207089

10.949292

10.884828

10.798538

11.034395

11.306398

11.112864

11.152854

11.12963

2305.08922

Suman Kundu

Seok Kim, Suman Kundu, Eunwoo Lee, Jaeha Lee, Shiraz Minwalla, Chintan Patel

'Grey Galaxies' as an endpoint of the Kerr-AdS superradiant instability

110 pages, 7 figures, 41 pages Appendix

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Kerr-AdS$_{d+1}$ black holes for $d\geq 3$ suffer from classical superradiant instabilities over a range of masses above extremality. We conjecture that these instabilities settle down into Grey Galaxies (GGs) - a new class of coarse-grained solutions to Einstein's equations which we construct in $d=3$. Grey Galaxies are made up of a black hole with critical angular velocity $\omega=1$ in the `centre' of $AdS$, surrounded by a large flat disk of thermal bulk gas that revolves around the centre of $AdS$ at the speed of light. The gas carries a finite fraction of the total energy, as its parametrically low energy density and large radius are inversely related. GGs exist at masses that extend all the way down to the unitarity bound. Their thermodynamics is that of a weakly interacting mix of Kerr-AdS black holes and the bulk gas. Their boundary stress tensor is the sum of a smooth `black hole' contribution and a peaked gas contribution that is delta function localized around the equator of the boundary sphere in the large $N$ limit. We also construct another class of solutions with the same charges; `Revolving Black Holes (RBHs)'. RBHs are macroscopically charged $SO(d,2)$ descendants of AdS-Kerr solutions, and consist of $\omega=1$ black holes revolving around the centre of $AdS$ at a fixed radial location but in a quantum wave function in the angular directions. RBH solutions are marginally entropically subdominant to GG solutions and do not constitute the endpoint of the superradiant instability. Nonetheless, we argue that supersymmetric versions of these solutions have interesting implications for the spectrum of supersymmetric states in, e.g. ${\cal N}=4$ Yang-Mills theory.

[ { "created": "Mon, 15 May 2023 18:00:41 GMT", "version": "v1" }, { "created": "Thu, 29 Jun 2023 16:05:07 GMT", "version": "v2" } ]

2023-06-30

[ [ "Kim", "Seok", "" ], [ "Kundu", "Suman", "" ], [ "Lee", "Eunwoo", "" ], [ "Lee", "Jaeha", "" ], [ "Minwalla", "Shiraz", "" ], [ "Patel", "Chintan", "" ] ]

Kerr-AdS$_{d+1}$ black holes for $d\geq 3$ suffer from classical superradiant instabilities over a range of masses above extremality. We conjecture that these instabilities settle down into Grey Galaxies (GGs) - a new class of coarse-grained solutions to Einstein's equations which we construct in $d=3$. Grey Galaxies are made up of a black hole with critical angular velocity $\omega=1$ in the `centre' of $AdS$, surrounded by a large flat disk of thermal bulk gas that revolves around the centre of $AdS$ at the speed of light. The gas carries a finite fraction of the total energy, as its parametrically low energy density and large radius are inversely related. GGs exist at masses that extend all the way down to the unitarity bound. Their thermodynamics is that of a weakly interacting mix of Kerr-AdS black holes and the bulk gas. Their boundary stress tensor is the sum of a smooth `black hole' contribution and a peaked gas contribution that is delta function localized around the equator of the boundary sphere in the large $N$ limit. We also construct another class of solutions with the same charges; `Revolving Black Holes (RBHs)'. RBHs are macroscopically charged $SO(d,2)$ descendants of AdS-Kerr solutions, and consist of $\omega=1$ black holes revolving around the centre of $AdS$ at a fixed radial location but in a quantum wave function in the angular directions. RBH solutions are marginally entropically subdominant to GG solutions and do not constitute the endpoint of the superradiant instability. Nonetheless, we argue that supersymmetric versions of these solutions have interesting implications for the spectrum of supersymmetric states in, e.g. ${\cal N}=4$ Yang-Mills theory.

9.532876

9.882281

9.990342

9.118262

9.663469

9.787096

9.894765

9.079461

8.800154

9.986417

9.255697

8.870402

9.094794

8.70938

8.999668

9.057673

9.094286

8.858976

8.923042

9.177687

9.070677

hep-th/9407182

null

E.Fradkin and F.A.Schaposnik

The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory

12 pages, LATEX, La Plata 94-08

Phys.Lett. B338 (1994) 253-258

10.1016/0370-2693(94)91374-9

null

hep-th

null

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics.

[ { "created": "Wed, 27 Jul 1994 09:11:07 GMT", "version": "v1" } ]

2009-10-28

[ [ "Fradkin", "E.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics.

8.437175

6.856531

8.668081

7.307941

7.544931

7.48045

7.835439

7.155029

7.017289

9.170211

7.58257

7.675711

8.426685

7.58966

7.851787

7.667261

7.783321

7.861627

7.798839

8.172291

7.737296

hep-th/0501170

Tobias Reichenbach

Quantized Equations of Motion and Currents in Noncommutative Theories

Diploma-thesis, Latex, uses axodraw, 79 pages, 39 figures

null

hep-th

null

We study quantized equations of motion and currents, that means equations on the level of Green's functions, in three different approaches to noncommutative quantum field theories. At first, the case of only spatial noncommutativity is investigated in which the modified Feynman rules can be applied. The classical equations of motion and currents are found to be also valid on the quantized level, and the BRS current for NCQED is derived. We then turn to the more complicated case of time-space noncommutativity and consider the approach of TOPT. Additional terms depending on $\theta^{0i}$, which are not present on the classical level, appear in the quantized equations of motion. We conclude that the same terms arise in quantized currents and cause the violation of Ward identities in NCQED. The question of remaining Lorentz symmetry is also discussed and found to be violated in a simple scattering process. Another approach to time-space noncommutative theories uses retarded functions. We present this formalism and discuss the question of unitarity, as well as equations of motion, and currents. The problems that emerge for $\theta^{0i}\neq 0$ are seen to arise from a certain type of diagrams. We propose a modified theory which is unitary and preserves the classical equations of motion and currents on the quantized level.

[ { "created": "Thu, 20 Jan 2005 20:28:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Reichenbach", "Tobias", "" ] ]

We study quantized equations of motion and currents, that means equations on the level of Green's functions, in three different approaches to noncommutative quantum field theories. At first, the case of only spatial noncommutativity is investigated in which the modified Feynman rules can be applied. The classical equations of motion and currents are found to be also valid on the quantized level, and the BRS current for NCQED is derived. We then turn to the more complicated case of time-space noncommutativity and consider the approach of TOPT. Additional terms depending on $\theta^{0i}$, which are not present on the classical level, appear in the quantized equations of motion. We conclude that the same terms arise in quantized currents and cause the violation of Ward identities in NCQED. The question of remaining Lorentz symmetry is also discussed and found to be violated in a simple scattering process. Another approach to time-space noncommutative theories uses retarded functions. We present this formalism and discuss the question of unitarity, as well as equations of motion, and currents. The problems that emerge for $\theta^{0i}\neq 0$ are seen to arise from a certain type of diagrams. We propose a modified theory which is unitary and preserves the classical equations of motion and currents on the quantized level.

7.97446

8.190111

8.409212

7.830638

7.816963

8.25262

8.092566

7.904174

8.22557

8.587531

8.009529

7.843686

8.088082

7.878092

7.987715

7.749987

7.923432

7.709802

7.888875

7.935259

7.637116

1109.6343

Richard Davison

Richard A. Davison and Andrei O. Starinets

Holographic zero sound at finite temperature

35 pages, 13 figures, 2 tables, 3 animations

Phys. Rev. D 85 (2012) 026004

10.1103/PhysRevD.85.026004

OUTP-11-53P

hep-th cond-mat.str-el hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We use gauge-gravity duality to study the temperature dependence of the zero sound mode and the fundamental matter diffusion mode in the strongly coupled {\cal N}=4 SU(N_c) supersymmetric Yang-Mills theory with N_f {\cal N}=2 hypermultiplets in the N_c>>1, N_c>>N_f limit, which is holographically realized via the D3/D7 brane system. In the high density limit \mu>>T, three regimes can be identified in the behavior of these modes, analogous to the collisionless quantum, collisionless thermal and hydrodynamic regimes of a Landau Fermi-liquid. The transitions between the three regimes are characterized by the parameters T/\mu and (T/\mu)^2 respectively, and in each of these regimes the modes have a distinctively different temperature and momentum dependence. The collisionless-hydrodynamic transition occurs when the zero sound poles of the density-density correlator in the complex frequency plane collide on the imaginary axis to produce a hydrodynamic diffusion pole. We observe that the properties characteristic of a Landau Fermi-liquid zero sound mode are present in the D3/D7 system despite the atypical T^6/\mu^3 temperature scaling of the specific heat and an apparent lack of a directly identifiable Fermi surface.

[ { "created": "Wed, 28 Sep 2011 20:21:47 GMT", "version": "v1" } ]

2012-01-19

[ [ "Davison", "Richard A.", "" ], [ "Starinets", "Andrei O.", "" ] ]

We use gauge-gravity duality to study the temperature dependence of the zero sound mode and the fundamental matter diffusion mode in the strongly coupled {\cal N}=4 SU(N_c) supersymmetric Yang-Mills theory with N_f {\cal N}=2 hypermultiplets in the N_c>>1, N_c>>N_f limit, which is holographically realized via the D3/D7 brane system. In the high density limit \mu>>T, three regimes can be identified in the behavior of these modes, analogous to the collisionless quantum, collisionless thermal and hydrodynamic regimes of a Landau Fermi-liquid. The transitions between the three regimes are characterized by the parameters T/\mu and (T/\mu)^2 respectively, and in each of these regimes the modes have a distinctively different temperature and momentum dependence. The collisionless-hydrodynamic transition occurs when the zero sound poles of the density-density correlator in the complex frequency plane collide on the imaginary axis to produce a hydrodynamic diffusion pole. We observe that the properties characteristic of a Landau Fermi-liquid zero sound mode are present in the D3/D7 system despite the atypical T^6/\mu^3 temperature scaling of the specific heat and an apparent lack of a directly identifiable Fermi surface.

7.486255

7.497734

8.494684

7.0616

8.353806

7.757139

7.927039

7.689878

7.299256

9.187824

7.343159

7.507921

7.494831

7.289381

7.309644

7.354717

7.237827

7.18812

7.22288

7.872046

7.0974

hep-th/9807103

N. D. Hari Dass

N.D. Hari Dass (IMSc, Chennai)

On Finite Size Effects in $d=2$ Quantum Gravity

9 pages, Latex

null

hep-th

null

A systematic investigation is given of finite size effects in $d=2$ quantum gravity or equivalently the theory of dynamically triangulated random surfaces. For Ising models coupled to random surfaces, finite size effects are studied on the one hand by numerical generation of the partition function to arbitrary accuracy by a deterministic calculus, and on the other hand by an analytic theory based on the singularity analysis of the explicit parametric form of the free energy of the corresponding matrix model. Both these reveal that the form of the finite size corrections, not surprisingly, depend on the string susceptibility. For the general case where the parametric form of the matrix model free energy is not explicitly known, it is shown how to perform the singularity analysis. All these considerations also apply to other observables like susceptibility etc. In the case of the Ising model it is shown that the standard Fisher-scaling laws are reproduced.

[ { "created": "Wed, 15 Jul 1998 11:03:23 GMT", "version": "v1" } ]

2016-09-06

[ [ "Dass", "N. D. Hari", "", "IMSc, Chennai" ] ]

A systematic investigation is given of finite size effects in $d=2$ quantum gravity or equivalently the theory of dynamically triangulated random surfaces. For Ising models coupled to random surfaces, finite size effects are studied on the one hand by numerical generation of the partition function to arbitrary accuracy by a deterministic calculus, and on the other hand by an analytic theory based on the singularity analysis of the explicit parametric form of the free energy of the corresponding matrix model. Both these reveal that the form of the finite size corrections, not surprisingly, depend on the string susceptibility. For the general case where the parametric form of the matrix model free energy is not explicitly known, it is shown how to perform the singularity analysis. All these considerations also apply to other observables like susceptibility etc. In the case of the Ising model it is shown that the standard Fisher-scaling laws are reproduced.

10.926714

11.690391

11.043749

10.101508

11.039729

10.848797

10.42957

10.714

10.154901

12.349106

10.302505

10.114182

10.143681

9.607181

10.112266

9.886628

9.921236

10.145219

10.120147

10.384048

10.132134

hep-th/0307237

Shiro Hirai

Effect of Pre-inflation Conditions on Scalar and Tensor Perturbations in Inflation

35 pages,8 figures,1 table

null

hep-th

null

The effect of the initial conditions in inflation on scalar and tensor perturbations is investigated. Formulae for the power spectra of gravitational waves and curvature perturbations for any initial conditions in inflation are derived, and the ratio of scalar to tensor perturbations and spectral index are calculated. The formulation is applied to some simplified pre-inflationary cosmological models, and the differences of the ratio and spectral index are investigated with respect to two matching conditions. In addition, the present power spectrum of gravitational waves is derived. The proposed formulation is preliminarily shown to be a possible test of the appropriateness of a given pre-inflationary model.

[ { "created": "Thu, 24 Jul 2003 06:41:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hirai", "Shiro", "" ] ]

The effect of the initial conditions in inflation on scalar and tensor perturbations is investigated. Formulae for the power spectra of gravitational waves and curvature perturbations for any initial conditions in inflation are derived, and the ratio of scalar to tensor perturbations and spectral index are calculated. The formulation is applied to some simplified pre-inflationary cosmological models, and the differences of the ratio and spectral index are investigated with respect to two matching conditions. In addition, the present power spectrum of gravitational waves is derived. The proposed formulation is preliminarily shown to be a possible test of the appropriateness of a given pre-inflationary model.

9.224278

9.13147

8.690737

8.837768

8.957448

9.571131

9.146749

8.711326

8.755063

8.678393

8.509431

8.96469

8.476625

8.489797

8.68071

8.845175

8.852543

8.618093

8.699497

8.349148

8.74143

1402.7062

David McGady

Wei-Ming Chen, Yu-tin Huang, David A. McGady

Anomalies without an action

42 pages

null

PUPT 2459

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Modern on-shell methods allow us to construct both the classical and quantum S-matrix for a large class of theories, without utilizing knowledge of the interacting Lagrangian. It was recently shown that the same applies for chiral gauge theories, where the constraints from anomaly cancelation can be recast into the tension between unitarity and locality, without any reference to gauge symmetry. In this paper, we give a more detailed exploration, for chiral QED and QCD. We study the rational terms that are mandated by locality, and show that the factorization poles of such terms reveal a new particle in the spectrum, the Green-Schwarz two-from. We further extend the analysis to six-dimensional gravity coupled to chiral matter, including self-dual two-forms for which covariant actions generically do not exist. Despite this, the on-shell methods define the correct quantum S-matrix by demonstrating that locality of the one-loop amplitude requires combination of chiral matter that is consistent with that of anomaly cancelation.

[ { "created": "Thu, 27 Feb 2014 20:42:30 GMT", "version": "v1" } ]

2014-02-28

[ [ "Chen", "Wei-Ming", "" ], [ "Huang", "Yu-tin", "" ], [ "McGady", "David A.", "" ] ]

Modern on-shell methods allow us to construct both the classical and quantum S-matrix for a large class of theories, without utilizing knowledge of the interacting Lagrangian. It was recently shown that the same applies for chiral gauge theories, where the constraints from anomaly cancelation can be recast into the tension between unitarity and locality, without any reference to gauge symmetry. In this paper, we give a more detailed exploration, for chiral QED and QCD. We study the rational terms that are mandated by locality, and show that the factorization poles of such terms reveal a new particle in the spectrum, the Green-Schwarz two-from. We further extend the analysis to six-dimensional gravity coupled to chiral matter, including self-dual two-forms for which covariant actions generically do not exist. Despite this, the on-shell methods define the correct quantum S-matrix by demonstrating that locality of the one-loop amplitude requires combination of chiral matter that is consistent with that of anomaly cancelation.

12.466014

13.073461

13.825701

11.532664

11.909589

12.835786

13.351714

12.445501

12.338011

14.126668

12.260211

12.25169

11.988736

12.114992

11.912496

11.553282

11.927684

11.692617

11.931865

12.093469

12.199849

1710.01361

Ellis Yuan

Ellis Ye Yuan

Loops in the Bulk

4.4 pages, 4 figures. v2: minor corrections, one more reference added

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We initiate a systematic investigation of Mellin amplitudes of Witten diagrams to all loop levels, by introducing integral recursion relations among them. Focusing on the scalar effective theories in AdS with the simplest type of interactions, the integral kernel that triggers the recursion obeys universal rules. As a first application, analytic properties of a 4-point triangle diagram is analyzed with this method.

[ { "created": "Tue, 3 Oct 2017 19:43:04 GMT", "version": "v1" }, { "created": "Wed, 28 Feb 2018 02:47:21 GMT", "version": "v2" } ]

2018-03-01

[ [ "Yuan", "Ellis Ye", "" ] ]

We initiate a systematic investigation of Mellin amplitudes of Witten diagrams to all loop levels, by introducing integral recursion relations among them. Focusing on the scalar effective theories in AdS with the simplest type of interactions, the integral kernel that triggers the recursion obeys universal rules. As a first application, analytic properties of a 4-point triangle diagram is analyzed with this method.

20.037291

20.682011

24.810844

17.777273

20.17382

20.020674

18.987486

17.656614

17.034264

23.697464

18.470497

17.652809

20.191681

18.104488

18.096945

18.202129

19.034439

18.061798

17.86454

20.379251

17.498375

hep-th/0612169

Karl Landsteiner

Carlos Hoyos, Karl Landsteiner, Sergio Montero

Holographic Meson Melting

25+1 pages, 6 figures; v4: references added

JHEP 0704:031,2007

10.1088/1126-6708/2007/04/031

IFT-UAM/CSIC-06-58, SWAT/06/484

hep-th hep-ph

null

The plasma phase at high temperatures of a strongly coupled gauge theory can be holographically modelled by an AdS black hole. Matter in the fundamental representation and in the quenched approximation is introduced through embedding D7-branes in the AdS-Schwarzschild background. Low spin mesons correspond to the fluctuations of the D7-brane world volume. As is well known by now, there are two different kinds of embeddings, either reaching down to the black hole horizon or staying outside of it. In the latter case the fluctuations of the D7-brane world volume represent stable low spin mesons. In the plasma phase we do not expect mesons to be stable but to melt at sufficiently high temperature. We model the late stages of this meson melting by the quasinormal modes of D7-brane fluctuations for the embeddings that do reach down to the horizon. The inverse of the imaginary part of the quasinormal frequency gives the typical relaxation time back to equilibrium of the meson perturbation in the hot plasma. We briefly comment on the possible application of our model to quarkonium suppression.

[ { "created": "Mon, 18 Dec 2006 18:47:06 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2006 18:14:12 GMT", "version": "v2" }, { "created": "Tue, 20 Mar 2007 17:16:40 GMT", "version": "v3" }, { "created": "Wed, 11 Jul 2007 10:31:21 GMT", "version": "v4" } ]

2010-10-27

[ [ "Hoyos", "Carlos", "" ], [ "Landsteiner", "Karl", "" ], [ "Montero", "Sergio", "" ] ]

The plasma phase at high temperatures of a strongly coupled gauge theory can be holographically modelled by an AdS black hole. Matter in the fundamental representation and in the quenched approximation is introduced through embedding D7-branes in the AdS-Schwarzschild background. Low spin mesons correspond to the fluctuations of the D7-brane world volume. As is well known by now, there are two different kinds of embeddings, either reaching down to the black hole horizon or staying outside of it. In the latter case the fluctuations of the D7-brane world volume represent stable low spin mesons. In the plasma phase we do not expect mesons to be stable but to melt at sufficiently high temperature. We model the late stages of this meson melting by the quasinormal modes of D7-brane fluctuations for the embeddings that do reach down to the horizon. The inverse of the imaginary part of the quasinormal frequency gives the typical relaxation time back to equilibrium of the meson perturbation in the hot plasma. We briefly comment on the possible application of our model to quarkonium suppression.

6.714914

5.882358

6.977041

6.041821

6.277076

6.369134

6.382356

5.846276

6.230066

7.59328

6.058558

6.211361

6.469302

6.260931

6.304886

6.452406

6.307201

6.470964

6.199796

6.407073

6.240772

1802.02805

David Dudal

David Dudal, Thomas G. Mertens

Holographic estimate of heavy quark diffusion in a magnetic field

27 pages. v2: extra discussions and references, compatible with version accepted by Phys.Rev.D

Phys. Rev. D 97, 054035 (2018)

10.1103/PhysRevD.97.054035

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the influence of a background magnetic field on the $J/\psi$ vector meson in a DBI-extension of the soft wall model, building upon our earlier work Phys. Rev. D91, 086002 (2015). In this specific holographic QCD model, we discuss the heavy quark number susceptibility and diffusion constants of charm quarks and their dependence on the magnetic field by either a hydrodynamic expansion or by numerically solving the differential equation. This allows us to determine the response of these transport coefficients to the magnetic field. The effects of the latter are considered both from a direct as indirect (medium) viewpoint. As expected, we find a magnetic field induced anisotropic diffusion, with a stronger diffusion in the longitudinal direction compared to the transversal one. We backup, at least qualitatively, our findings with a hanging string analysis of heavy quark diffusion in a magnetic field. From the quark number susceptibility we can extract an estimate for the effective deconfinement temperature in the heavy quark sector, reporting consistency with the phenomenon of inverse magnetic catalysis.

[ { "created": "Thu, 8 Feb 2018 11:01:02 GMT", "version": "v1" }, { "created": "Fri, 30 Mar 2018 09:12:44 GMT", "version": "v2" } ]

2018-04-04

[ [ "Dudal", "David", "" ], [ "Mertens", "Thomas G.", "" ] ]

We study the influence of a background magnetic field on the $J/\psi$ vector meson in a DBI-extension of the soft wall model, building upon our earlier work Phys. Rev. D91, 086002 (2015). In this specific holographic QCD model, we discuss the heavy quark number susceptibility and diffusion constants of charm quarks and their dependence on the magnetic field by either a hydrodynamic expansion or by numerically solving the differential equation. This allows us to determine the response of these transport coefficients to the magnetic field. The effects of the latter are considered both from a direct as indirect (medium) viewpoint. As expected, we find a magnetic field induced anisotropic diffusion, with a stronger diffusion in the longitudinal direction compared to the transversal one. We backup, at least qualitatively, our findings with a hanging string analysis of heavy quark diffusion in a magnetic field. From the quark number susceptibility we can extract an estimate for the effective deconfinement temperature in the heavy quark sector, reporting consistency with the phenomenon of inverse magnetic catalysis.

9.762881

8.961175

8.865049

8.92127

9.668816

9.097602

9.568245

9.520701

8.84045

10.111863

9.283254

8.969137

9.326398

8.979566

9.272368

9.187639

9.258703

9.215057

8.857046

9.351623

9.163427

1603.06402

Tamiaki Yoneya

Covariantized Matrix theory for D-particles

47 pages, 1 figure, the version to be published in JHEP, corrected typos, added sentences and references

null

10.1007/JHEP06(2016)058

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We reformulate the Matrix theory of D-particles in a manifestly Lorentz-covariant fashion in the sense of 11 dimesnional flat Minkowski space-time, from the viewpoint of the so-called DLCQ interpretation of the light-front Matrix theory. The theory is characterized by various symmetry properties including higher gauge symmetries, which contain the usual SU($N$) symmetry as a special case and are extended from the structure naturally appearing in association with a discretized version of Nambu's 3-bracket. The theory is scale invariant, and the emergence of the 11 dimensional gravitational length, or M-theory scale, is interpreted as a consequence of a breaking of the scaling symmetry through a super-selection rule. In the light-front gauge with the DLCQ compactification of 11 dimensions, the theory reduces to the usual light-front formulation. In the time-like gauge with the ordinary M-theory spatial compactification, it reduces to a non-Abelian Born-Infeld-like theory, which in the limit of large $N$ becomes equivalent with the original BFSS theory.

[ { "created": "Mon, 21 Mar 2016 12:07:18 GMT", "version": "v1" }, { "created": "Tue, 5 Apr 2016 05:58:48 GMT", "version": "v2" }, { "created": "Thu, 2 Jun 2016 11:59:12 GMT", "version": "v3" } ]

2016-06-29

[ [ "Yoneya", "Tamiaki", "" ] ]

We reformulate the Matrix theory of D-particles in a manifestly Lorentz-covariant fashion in the sense of 11 dimesnional flat Minkowski space-time, from the viewpoint of the so-called DLCQ interpretation of the light-front Matrix theory. The theory is characterized by various symmetry properties including higher gauge symmetries, which contain the usual SU($N$) symmetry as a special case and are extended from the structure naturally appearing in association with a discretized version of Nambu's 3-bracket. The theory is scale invariant, and the emergence of the 11 dimensional gravitational length, or M-theory scale, is interpreted as a consequence of a breaking of the scaling symmetry through a super-selection rule. In the light-front gauge with the DLCQ compactification of 11 dimensions, the theory reduces to the usual light-front formulation. In the time-like gauge with the ordinary M-theory spatial compactification, it reduces to a non-Abelian Born-Infeld-like theory, which in the limit of large $N$ becomes equivalent with the original BFSS theory.

10.152469

9.542212

11.35994

9.478093

10.027143

9.540684

9.844899

9.523609

9.18288

12.469352

9.054382

8.815311

9.819954

9.13295

8.670114

8.642229

9.015476

8.778188

8.445014

9.686703

8.979723

1707.09347

Grigory Tarnopolsky

Ksenia Bulycheva, Igor R. Klebanov, Alexey Milekhin, Grigory Tarnopolsky

Spectra of Operators in Large $N$ Tensor Models

39 pages, 23 figures. v2: minor improvements, references added. v3: minor improvements, references added

Phys. Rev. D 97, 026016 (2018)

10.1103/PhysRevD.97.026016

PUPT-2531

hep-th cond-mat.str-el

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the operators in the large $N$ tensor models, focusing mostly on the fermionic quantum mechanics with $O(N)^3$ symmetry which may be either global or gauged. In the model with global symmetry we study the spectra of bilinear operators, which are in either the symmetric traceless or the antisymmetric representation of one of the $O(N)$ groups. In the symmetric traceless case, the spectrum of scaling dimensions is the same as in the SYK model with real fermions; it includes the $h=2$ zero-mode. For the operators anti-symmetric in the two indices, the scaling dimensions are the same as in the additional sector found in the complex tensor and SYK models; the lowest $h=0$ eigenvalue corresponds to the conserved $O(N)$ charges. A class of singlet operators may be constructed from contracted combinations of $m$ symmetric traceless or antisymmetric two-particle operators. Their two-point functions receive contributions from $m$ melonic ladders. Such multiple ladders are a new phenomenon in the tensor model, which does not seem to be present in the SYK model. The more typical $2k$-particle operators do not receive any ladder corrections and have quantized large $N$ scaling dimensions $k/2$. We construct pictorial representations of various singlet operators with low $k$. For larger $k$ we use available techniques to count the operators and show that their number grows as $2^k k!$. As a consequence, the theory has a Hagedorn phase transition at the temperature which approaches zero in the large $N$ limit. We also study the large $N$ spectrum of low-lying operators in the Gurau-Witten model, which has $O(N)^6$ symmetry. We argue that it corresponds to one of the generalized SYK models constructed by Gross and Rosenhaus. Our paper also includes studies of the invariants in large $N$ tensor integrals with various symmetries.

[ { "created": "Fri, 28 Jul 2017 17:40:10 GMT", "version": "v1" }, { "created": "Tue, 29 Aug 2017 19:12:40 GMT", "version": "v2" }, { "created": "Sun, 11 Feb 2018 06:19:00 GMT", "version": "v3" } ]

2018-02-13

[ [ "Bulycheva", "Ksenia", "" ], [ "Klebanov", "Igor R.", "" ], [ "Milekhin", "Alexey", "" ], [ "Tarnopolsky", "Grigory", "" ] ]

We study the operators in the large $N$ tensor models, focusing mostly on the fermionic quantum mechanics with $O(N)^3$ symmetry which may be either global or gauged. In the model with global symmetry we study the spectra of bilinear operators, which are in either the symmetric traceless or the antisymmetric representation of one of the $O(N)$ groups. In the symmetric traceless case, the spectrum of scaling dimensions is the same as in the SYK model with real fermions; it includes the $h=2$ zero-mode. For the operators anti-symmetric in the two indices, the scaling dimensions are the same as in the additional sector found in the complex tensor and SYK models; the lowest $h=0$ eigenvalue corresponds to the conserved $O(N)$ charges. A class of singlet operators may be constructed from contracted combinations of $m$ symmetric traceless or antisymmetric two-particle operators. Their two-point functions receive contributions from $m$ melonic ladders. Such multiple ladders are a new phenomenon in the tensor model, which does not seem to be present in the SYK model. The more typical $2k$-particle operators do not receive any ladder corrections and have quantized large $N$ scaling dimensions $k/2$. We construct pictorial representations of various singlet operators with low $k$. For larger $k$ we use available techniques to count the operators and show that their number grows as $2^k k!$. As a consequence, the theory has a Hagedorn phase transition at the temperature which approaches zero in the large $N$ limit. We also study the large $N$ spectrum of low-lying operators in the Gurau-Witten model, which has $O(N)^6$ symmetry. We argue that it corresponds to one of the generalized SYK models constructed by Gross and Rosenhaus. Our paper also includes studies of the invariants in large $N$ tensor integrals with various symmetries.

8.904698

9.122632

9.360126

8.255189

9.360798

8.982071

8.881248

8.72559

8.410238

10.018576

8.603626

8.529219

8.785338

8.341517

8.171144

8.289041

8.345231

8.401992

8.451236

8.882857

8.388161

hep-th/9606151

Jean-Loup Gervais

Chirality deconfinement beyond the $C=1$ barrier of two dimensional gravity

16 pages, latex, 28 figures, uuencoded, replacement for Latex problems

null

LPTENS-96/15

hep-th

null

The characteristic novel features of strongly coupled gravity at the special values ($C_L=7, 13, 19$) are reviewed in a simple manner using pictures as much as possible. (Notes of lectures at the 1995 Cargese Meeting Low dimensional applications of quantum field theory)

[ { "created": "Mon, 24 Jun 1996 14:35:05 GMT", "version": "v1" }, { "created": "Tue, 25 Jun 1996 15:42:37 GMT", "version": "v2" } ]

2008-02-03

[ [ "Gervais", "Jean-Loup", "" ] ]

The characteristic novel features of strongly coupled gravity at the special values ($C_L=7, 13, 19$) are reviewed in a simple manner using pictures as much as possible. (Notes of lectures at the 1995 Cargese Meeting Low dimensional applications of quantum field theory)

34.408649

30.483784

37.786869

25.597767

27.71773

39.232288

27.200491

30.043413

29.277308

53.140026

31.470892

30.070673

34.301533

28.043795

29.874743

30.215368

28.840437

28.081396

28.621405

34.229828

30.529575

1505.07355

Victor Lekeu

Marc Henneaux and Axel Kleinschmidt and Victor Lekeu

Enhancement of hidden symmetries and Chern-Simons couplings

To appear in the Proceedings of the 9th Workshop and School on "Quantum Field Theory and Hamiltonian Systems", 24-28 September 2014, Sinaia, Romania

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the role of Chern--Simons couplings for the appearance of enhanced symmetries of Cremmer--Julia type in various theories. It is shown explicitly that for generic values of the Chern--Simons coupling there is only a parabolic Lie subgroup of symmetries after reduction to three space-time dimensions but that this parabolic Lie group gets enhanced to the full and larger Cremmer--Julia Lie group of hidden symmetries if the coupling takes a specific value. This is heralded by an enhanced isotropy group of the metric on the scalar manifold. Examples of this phenomenon are discussed as well as the relation to supersymmetry. Our results are also connected with rigidity theorems of Borel-like algebras.

[ { "created": "Wed, 27 May 2015 14:47:44 GMT", "version": "v1" } ]

2015-05-28

[ [ "Henneaux", "Marc", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Lekeu", "Victor", "" ] ]

We study the role of Chern--Simons couplings for the appearance of enhanced symmetries of Cremmer--Julia type in various theories. It is shown explicitly that for generic values of the Chern--Simons coupling there is only a parabolic Lie subgroup of symmetries after reduction to three space-time dimensions but that this parabolic Lie group gets enhanced to the full and larger Cremmer--Julia Lie group of hidden symmetries if the coupling takes a specific value. This is heralded by an enhanced isotropy group of the metric on the scalar manifold. Examples of this phenomenon are discussed as well as the relation to supersymmetry. Our results are also connected with rigidity theorems of Borel-like algebras.

9.309819

9.862502

10.392739

9.644467

10.145799

9.547799

9.148766

8.668857

8.896224

11.303624

8.498039

8.541318

8.697341

8.261923

8.339069

8.33001

8.151913

8.371582

8.252568

8.603519

8.255943

hep-th/9804160

Oren Bergman

O. Bergman (Harvard), B. Kol (Stanford)

String Webs and 1/4 BPS Monopoles

29 pages LaTex, 5 eps figures

Nucl.Phys. B536 (1998) 149-174

10.1016/S0550-3213(98)00565-3

HUTP-98/A035, SU-ITP-98-14

hep-th

null

We argue for the existence of many new 1/4 BPS states in N=4 SU(N_c) Super-Yang-Mills theory with N_c>=3, by constructing them from supersymmetric string webs whose external strings terminate on parallel D3-branes. The masses of the string webs are shown to agree with the BPS bound for the corresponding states in SYM. We identify the curves of marginal stability, at which these states decay into other BPS states. We find the bosonic and fermionic zero modes of the string webs, and thereby the degeneracy and spin content of some of the BPS states. States of arbitrarily high spin are predicted in this manner, all of which become massless at the conformal point. For N_c>=4 we find BPS states which transform in long multiplets, and are therefore not protected against becoming stable non-BPS states as moduli are varied. The mass of these extremal non-BPS states is constrained as they are connected to BPS states. Analogous geometric phenomena are anticipated.

[ { "created": "Thu, 23 Apr 1998 20:55:07 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bergman", "O.", "", "Harvard" ], [ "Kol", "B.", "", "Stanford" ] ]

We argue for the existence of many new 1/4 BPS states in N=4 SU(N_c) Super-Yang-Mills theory with N_c>=3, by constructing them from supersymmetric string webs whose external strings terminate on parallel D3-branes. The masses of the string webs are shown to agree with the BPS bound for the corresponding states in SYM. We identify the curves of marginal stability, at which these states decay into other BPS states. We find the bosonic and fermionic zero modes of the string webs, and thereby the degeneracy and spin content of some of the BPS states. States of arbitrarily high spin are predicted in this manner, all of which become massless at the conformal point. For N_c>=4 we find BPS states which transform in long multiplets, and are therefore not protected against becoming stable non-BPS states as moduli are varied. The mass of these extremal non-BPS states is constrained as they are connected to BPS states. Analogous geometric phenomena are anticipated.

9.010029

8.603988

10.660189

7.99911

8.520129

8.802271

7.887923

8.142569

8.105927

10.997122

8.23599

8.502278

9.129097

8.22676

8.056851

8.291728

8.228333

8.49862

8.41425

8.920403

8.224154

hep-th/9802067

David Kutasov

A. Giveon, D. Kutasov

Brane Dynamics and Gauge Theory

291 pages, 52 figures; expanded introduction and minor changes

Rev.Mod.Phys.71:983-1084,1999

10.1103/RevModPhys.71.983

RI-2-98, EFI-98-06

hep-th

null

We review some aspects of the interplay between the dynamics of branes in string theory and the classical and quantum physics of gauge theories with different numbers of supersymmetries in various dimensions.

[ { "created": "Wed, 11 Feb 1998 22:19:25 GMT", "version": "v1" }, { "created": "Mon, 31 Aug 1998 16:36:23 GMT", "version": "v2" } ]

2009-09-25

[ [ "Giveon", "A.", "" ], [ "Kutasov", "D.", "" ] ]

We review some aspects of the interplay between the dynamics of branes in string theory and the classical and quantum physics of gauge theories with different numbers of supersymmetries in various dimensions.

7.548521

5.297988

8.253542

6.025377

5.716072

5.7576

6.168524

5.580621

5.810682

7.407316

5.57625

5.956595

7.145505

6.292476

5.914618

5.98349

5.998715

6.154406

5.92959

6.990749

6.014347

hep-th/9306071

null

Amir Aghamohammadi

The 2-Parametric Extension of $h$ Deformation of $GL(2)$, and The Differential Calculus on Its Quantum Plane

11 pages, Institute for studies in Theoretical Physics and Mathematics Tehran Iran

Mod.Phys.Lett. A8 (1993) 2607-2613

10.1142/S0217732393002981

null

hep-th

null

We present an alternative 2-parametric deformation $ GL(2)_{h,h'} $ , and construct the differential calculus on the quantum plane on which this quantum group acts. Also we give a new deformation of the two dimensional Heisenberg algebra

[ { "created": "Wed, 16 Jun 1993 18:14:07 GMT", "version": "v1" } ]

2015-06-26

[ [ "Aghamohammadi", "Amir", "" ] ]

We present an alternative 2-parametric deformation $ GL(2)_{h,h'} $ , and construct the differential calculus on the quantum plane on which this quantum group acts. Also we give a new deformation of the two dimensional Heisenberg algebra

17.004286

11.84453

17.679462

13.05372

15.081068

13.474196

13.209971

11.855577

13.934814

21.462641

14.234757

14.474988

17.947874

14.409129

14.985177

14.164844

13.986337

15.406609

14.800916

17.41934

13.906056

2109.06053

Tiago Adorno

T. C. Adorno, Zi-Wang He, S. P. Gavrilov, and D. M. Gitman

Vacuum instability due to the creation of neutral Fermion with anomalous magnetic moment by magnetic-field inhomogeneities

30 pages, 1 figure

J. High Energ. Phys. 2021, 46 (2021)

10.1007/JHEP12(2021)046

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study neutral Fermions pair creation with anomalous magnetic moment from the vacuum by time-independent magnetic-field inhomogeneity as an external background. We show that the problem is technically reduced to the problem of charged-particle creation by an electric step, for which the nonperturbative formulation of strong-field QED is used. We consider a magnetic step given by an analytic function and whose inhomogeneity may vary from a "gradual" to a "sharp" field configuration. We obtain corresponding exact solutions of the Dirac-Pauli equation with this field and calculate pertinent quantities characterizing vacuum instability, such as the differential mean number and flux density of pairs created from the vacuum, vacuum fluxes of energy and magnetic moment. We show that the vacuum flux in one direction is formed from fluxes of particles and antiparticles of equal intensity and with the same magnetic moments parallel to the external field. Backreaction to the vacuum fluxes leads to a smoothing of the magnetic-field inhomogeneity. We also estimate critical magnetic field intensities, near which the phenomenon could be observed.

[ { "created": "Tue, 31 Aug 2021 13:59:23 GMT", "version": "v1" } ]

2021-12-14

[ [ "Adorno", "T. C.", "" ], [ "He", "Zi-Wang", "" ], [ "Gavrilov", "S. P.", "" ], [ "Gitman", "D. M.", "" ] ]

We study neutral Fermions pair creation with anomalous magnetic moment from the vacuum by time-independent magnetic-field inhomogeneity as an external background. We show that the problem is technically reduced to the problem of charged-particle creation by an electric step, for which the nonperturbative formulation of strong-field QED is used. We consider a magnetic step given by an analytic function and whose inhomogeneity may vary from a "gradual" to a "sharp" field configuration. We obtain corresponding exact solutions of the Dirac-Pauli equation with this field and calculate pertinent quantities characterizing vacuum instability, such as the differential mean number and flux density of pairs created from the vacuum, vacuum fluxes of energy and magnetic moment. We show that the vacuum flux in one direction is formed from fluxes of particles and antiparticles of equal intensity and with the same magnetic moments parallel to the external field. Backreaction to the vacuum fluxes leads to a smoothing of the magnetic-field inhomogeneity. We also estimate critical magnetic field intensities, near which the phenomenon could be observed.

14.588601

15.680443

14.939124

14.106393

14.774467

15.344988

15.378175

14.259476

14.118698

16.219803

13.768237

14.792759

14.532632

14.590211

14.723186

14.23991

14.989816

14.710698

14.581152

15.008243

14.474022

hep-th/9311006

null

H. Nishino

Super--Lax Operator Embedded in Self--Dual Supersymmetric Yang--Mills Theory

LATEX (with all macros), 11 pages, UMDEPP 94-47 (October 1993)

Mod.Phys.Lett. A11 (1996) 2417

10.1142/S021773239600240X

null

hep-th

null

We show that the super-Lax operator for $~N=1$~ supersymmetric Kadomtsev-Petviashvili equation of Manin and Radul in three-dimensions can be embedded into recently developed self-dual supersymmetric Yang-Mills theory in $~2+2\-$dimensions, based on general features of its underlying super-Lax equation. The differential geometrical relationship in superspace between the embedding principle of the super-Lax operator and its associated super-Sato equation is clarified. This result provides a good guiding principle for the embedding of other integrable sub-systems in the super-Lax equation into the four-dimensional self-dual supersymmetric Yang-Mills theory, which is the consistent background for $~N=2$~ superstring theory, and potentially generates other unknown supersymmetric integrable models in lower-dimensions.

[ { "created": "Mon, 1 Nov 1993 19:44:27 GMT", "version": "v1" } ]

2015-06-26

[ [ "Nishino", "H.", "" ] ]

We show that the super-Lax operator for $~N=1$~ supersymmetric Kadomtsev-Petviashvili equation of Manin and Radul in three-dimensions can be embedded into recently developed self-dual supersymmetric Yang-Mills theory in $~2+2\-$dimensions, based on general features of its underlying super-Lax equation. The differential geometrical relationship in superspace between the embedding principle of the super-Lax operator and its associated super-Sato equation is clarified. This result provides a good guiding principle for the embedding of other integrable sub-systems in the super-Lax equation into the four-dimensional self-dual supersymmetric Yang-Mills theory, which is the consistent background for $~N=2$~ superstring theory, and potentially generates other unknown supersymmetric integrable models in lower-dimensions.

10.354224

8.469474

11.458792

8.5149

9.138622

9.484101

8.617748

8.971882

8.69505

11.358271

9.210267

9.079786

10.78636

9.441106

9.687248

9.279109

9.476484

9.439122

9.812098

10.454817

9.572845

1906.04247

Tanya Obikhod

T.V. Obikhod

Central charge and topological invariant of Calabi-Yau manifolds

8 pages, 5 figures, materials are presented in XII International Algebraic Conference in Ukraine (July 02-06, 2019) Vinnytsia, Ukraine

null

Bulletin (of Donetsk National University), Series A, Natural Sciences, No.1-2/2019, P.58-65

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

F-theory, as a 12-dimensional theory that is a contender of the Theory of Everything, should be compactified into elliptically fibered threefolds or fourfolds of Calabi-Yau. Such manifolds have an elliptic curve as a fiber, and their bases may have singularities. We considered orbifold as simplest non-flat construction. Blow up modes of orbifold singularities can be considered as coordinates of complexified Kahler moduli space. Quiver diagrams are used for discribing D-branes near orbifold point. In this case it is possible to calculate Euler character defined through $\mbox{Ext}^i(A,B)$ groups and coherent sheaves $A, B$ over projective space, which are representations of orbifold space after blowing up procedure. These fractional sheaves are characterized by $Q_0$, $Q_2$ and $Q_4$ Ramon-Ramon charges, which have special type, calculated for $C^3/Z_3$ case. BPS central charge for $C^3/Z_3$ orbifold is calculated through Ramon-Ramon charges and Picard-Fuchs periods.

[ { "created": "Fri, 24 May 2019 13:26:35 GMT", "version": "v1" } ]

2019-11-19

[ [ "Obikhod", "T. V.", "" ] ]

F-theory, as a 12-dimensional theory that is a contender of the Theory of Everything, should be compactified into elliptically fibered threefolds or fourfolds of Calabi-Yau. Such manifolds have an elliptic curve as a fiber, and their bases may have singularities. We considered orbifold as simplest non-flat construction. Blow up modes of orbifold singularities can be considered as coordinates of complexified Kahler moduli space. Quiver diagrams are used for discribing D-branes near orbifold point. In this case it is possible to calculate Euler character defined through $\mbox{Ext}^i(A,B)$ groups and coherent sheaves $A, B$ over projective space, which are representations of orbifold space after blowing up procedure. These fractional sheaves are characterized by $Q_0$, $Q_2$ and $Q_4$ Ramon-Ramon charges, which have special type, calculated for $C^3/Z_3$ case. BPS central charge for $C^3/Z_3$ orbifold is calculated through Ramon-Ramon charges and Picard-Fuchs periods.

14.209929

13.684716

16.375301

13.576464

15.419897

14.306072

13.652653

13.935609

14.142004

16.667343

13.966073

13.558653

14.071721

13.698029

13.200919

13.122758

12.927322

13.309865

13.359133

14.432184

13.489779

1204.2876

Hiroyuki Kitamoto

Hiroyuki Kitamoto, Yoshihisa Kitazawa

Soft Graviton effects on Gauge theories in de Sitter Space

13 pages, 1 figure. arXiv admin note: text overlap with arXiv:1203.0391, arXiv:1211.3878

Phys.Rev. D87 (2013) 124004

10.1103/PhysRevD.87.124004

KEK-TH-1539

hep-th astro-ph.CO gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We extend our investigation of soft graviton effects on the microscopic dynamics of matter fields in de Sitter space. We evaluate the quantum equation of motion in generic gauge theories. We find that the Lorentz invariance can be respected and the velocity of light is not renormalized at the one-loop level. The gauge coupling constant is universally screened by soft gravitons and diminishes with time. These features are in common with other four dimensional field theories with dimensionless couplings. In particular the couplings scale with time with definite scaling exponents. Although individual scaling exponents are gauge dependent, we argue that the relative scaling exponents are gauge independent and should be observable. We also mention soft graviton effects on cosmic microwave background.

[ { "created": "Fri, 13 Apr 2012 04:27:21 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2013 08:15:25 GMT", "version": "v2" } ]

2013-06-14

[ [ "Kitamoto", "Hiroyuki", "" ], [ "Kitazawa", "Yoshihisa", "" ] ]

We extend our investigation of soft graviton effects on the microscopic dynamics of matter fields in de Sitter space. We evaluate the quantum equation of motion in generic gauge theories. We find that the Lorentz invariance can be respected and the velocity of light is not renormalized at the one-loop level. The gauge coupling constant is universally screened by soft gravitons and diminishes with time. These features are in common with other four dimensional field theories with dimensionless couplings. In particular the couplings scale with time with definite scaling exponents. Although individual scaling exponents are gauge dependent, we argue that the relative scaling exponents are gauge independent and should be observable. We also mention soft graviton effects on cosmic microwave background.

11.417035

11.688688

11.01563

10.69847

11.245901

11.690476

10.93044

11.079054

11.461559

12.018024

10.479478

11.180959

10.844447

11.143211

11.432082

11.206638

10.996327

11.234112

11.081465

10.587219

10.921737

1904.07816

Thomas de Beer

Thomas de Beer, Benjamin A. Burrington, Ian T. Jardine, A.W. Peet

The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry

29 + 10 pages. Added references

null

10.1007/s13130-019-11019-2

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We explore the OPE of certain twist operators in symmetric product ($S_N$) orbifold CFTs, extending our previous work arXiv:1804.01562 to the case of $\mathcal{N}=(4,4)$ supersymmetry. We consider a class of twist operators related to the chiral primaries by spectral flow parallel to the twist. We conjecture that at large $N$, the OPE of two such operators contains only fields in this class, along with excitations by fractional modes of the superconformal currents. We provide evidence for this by studying the coincidence limits of two 4-point functions to several non-trivial orders. We show how the fractional excitations of the twist operators in our restricted class fully reproduce the crossing channels appearing in the coincidence limits of the 4-point functions.

[ { "created": "Tue, 16 Apr 2019 16:47:13 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2019 19:27:44 GMT", "version": "v2" } ]

2019-09-04

[ [ "de Beer", "Thomas", "" ], [ "Burrington", "Benjamin A.", "" ], [ "Jardine", "Ian T.", "" ], [ "Peet", "A. W.", "" ] ]

We explore the OPE of certain twist operators in symmetric product ($S_N$) orbifold CFTs, extending our previous work arXiv:1804.01562 to the case of $\mathcal{N}=(4,4)$ supersymmetry. We consider a class of twist operators related to the chiral primaries by spectral flow parallel to the twist. We conjecture that at large $N$, the OPE of two such operators contains only fields in this class, along with excitations by fractional modes of the superconformal currents. We provide evidence for this by studying the coincidence limits of two 4-point functions to several non-trivial orders. We show how the fractional excitations of the twist operators in our restricted class fully reproduce the crossing channels appearing in the coincidence limits of the 4-point functions.

9.322377

8.104872

10.408616

7.927763

8.313009

7.806431

7.964365

8.190894

8.745248

10.219942

7.970183

8.592844

9.416451

8.670218

8.727414

8.706652

8.459734

8.625233

8.618679

9.486832

8.434226

0901.4508

Agostino Patella

Adi Armoni, Agostino Patella

Degeneracy Between the Regge Slope of Mesons and Baryons from Supersymmetry

v2: extended version. Appendices and references added

JHEP 0907:073,2009

10.1088/1126-6708/2009/07/073

null

hep-th hep-lat hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider the degeneracy between the Regge slope of mesons and baryons in QCD. We argue that within the "orientifold large-N approximation" asymptotically massive mesons and baryons become supersymmetric partners and hence degenerate. To this end, we generalize QCD by a SU(N) theory with a quark in the two-index antisymmetric representation. We show that in this framework the meson is represented by an oriented bosonic QCD-string and the baryon is represented by an un-oriented fermionic QCD-string. At large-N, due to an equivalence with super Yang-Mills, the tensions of the bosonic and the fermionic strings coincide. Our description of mesons and baryons as oriented and un-oriented bosonic and fermionic QCD-strings is in full agreement with the spectra of open strings in the dual type 0' string theory.

[ { "created": "Wed, 28 Jan 2009 17:21:07 GMT", "version": "v1" }, { "created": "Tue, 28 Apr 2009 13:22:09 GMT", "version": "v2" } ]

2010-04-21

[ [ "Armoni", "Adi", "" ], [ "Patella", "Agostino", "" ] ]

We consider the degeneracy between the Regge slope of mesons and baryons in QCD. We argue that within the "orientifold large-N approximation" asymptotically massive mesons and baryons become supersymmetric partners and hence degenerate. To this end, we generalize QCD by a SU(N) theory with a quark in the two-index antisymmetric representation. We show that in this framework the meson is represented by an oriented bosonic QCD-string and the baryon is represented by an un-oriented fermionic QCD-string. At large-N, due to an equivalence with super Yang-Mills, the tensions of the bosonic and the fermionic strings coincide. Our description of mesons and baryons as oriented and un-oriented bosonic and fermionic QCD-strings is in full agreement with the spectra of open strings in the dual type 0' string theory.

7.472359

7.354188

7.735669

7.279604

7.211486

7.370598

7.519776

7.153759

6.835388

7.799133

7.304947

7.358175

7.371321

7.268895

7.481664

7.503115

7.305935

7.111218

7.176265

7.361482

7.018142

2403.07365

Khalil Idiab

Khalil Idiab, Stijn J. van Tongeren

On exactly solvable Yang-Baxter models and enhanced symmetries

28 pages, v2: slightly expanded introduction

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study Yang-Baxter deformations of the flat space string that result in exactly solvable models, finding the Nappi-Witten model and its higher dimensional generalizations. We then consider the spectra of these models obtained by canonical quantization in light-cone gauge, and match them with an integrability-based Bethe ansatz approach. By considering a generalized light-cone gauge we can describe the model by a nontrivially Drinfel'd twisted S matrix, explicitly verifying the twisted structure expected for such deformations. Next, the reformulation of the Nappi-Witten model as a Yang-Baxter deformation shows that Yang-Baxter models can have more symmetries than suggested by the $r$ matrix defining the deformation. We discuss these enhanced symmetries in more detail for some trivial and nontrivial examples. Finally, we observe that there are nonunimodular but Weyl-invariant Yang-Baxter models of a type not previously considered.

[ { "created": "Tue, 12 Mar 2024 07:01:14 GMT", "version": "v1" }, { "created": "Wed, 20 Mar 2024 19:29:25 GMT", "version": "v2" } ]

2024-03-22

[ [ "Idiab", "Khalil", "" ], [ "van Tongeren", "Stijn J.", "" ] ]

We study Yang-Baxter deformations of the flat space string that result in exactly solvable models, finding the Nappi-Witten model and its higher dimensional generalizations. We then consider the spectra of these models obtained by canonical quantization in light-cone gauge, and match them with an integrability-based Bethe ansatz approach. By considering a generalized light-cone gauge we can describe the model by a nontrivially Drinfel'd twisted S matrix, explicitly verifying the twisted structure expected for such deformations. Next, the reformulation of the Nappi-Witten model as a Yang-Baxter deformation shows that Yang-Baxter models can have more symmetries than suggested by the $r$ matrix defining the deformation. We discuss these enhanced symmetries in more detail for some trivial and nontrivial examples. Finally, we observe that there are nonunimodular but Weyl-invariant Yang-Baxter models of a type not previously considered.

9.732684

9.447417

11.007337

9.746387

9.241976

9.51756

9.683445

9.359231

9.301418

12.015228

9.013906

9.724979

10.069902

9.445939

9.713956

9.687026

9.394863

9.623434

9.370589

9.746114

9.046289

hep-th/9607134

Peter Orland

The Metric on the Space of Yang-Mills Configurations

41 pages, Latex, 2 postcript figures. Some corrections are made concerning 1) Chern-Simons integrals in sections 2 and 10, 2) and error in the discussion of the intrinsic metric in section 5, 2) the defnition of equivalence classes and 4) a few more details on the four metric properties.

null

NBI-HE-96-35

hep-th

null

A distance function on the set of physical equivalence classes of Yang-Mills configurations considered by Feynman and by Atiyah, Hitchin and Singer is studied for both the $2+1$ and $3+1$-dimensional Hamiltonians. This set equipped with this distance function is a metric space, and in fact a Riemannian manifold as Singer observed. Furthermore, this manifold is complete. Gauge configurations can be used to parametrize the manifold. The metric tensor without gauge fixing has zero eigenvalues, but is free of ambiguities on the entire manifold. In $2+1$ dimensions the problem of finding the distance from any configuration to a pure gauge configuration is an integrable system of two-dimensional differential equations. A calculus of manifolds with singular metric tensors is developed and the Riemann curvature is calculated using this calculus. The Laplacian on Yang-Mills wave functionals has a slightly different form from that claimed earlier. In $3+1$-dimensions there are field configurations an arbitrarily large distance from a pure gauge configuration with arbitrarily small potential energy. These configurations resemble long-wavelength gluons. Reasons why there nevertheless can be a mass gap in the quantum theory are proposed.

[ { "created": "Tue, 16 Jul 1996 15:47:35 GMT", "version": "v1" }, { "created": "Wed, 29 Jan 1997 21:55:10 GMT", "version": "v2" } ]

2016-09-06

[ [ "Orland", "Peter", "" ] ]

A distance function on the set of physical equivalence classes of Yang-Mills configurations considered by Feynman and by Atiyah, Hitchin and Singer is studied for both the $2+1$ and $3+1$-dimensional Hamiltonians. This set equipped with this distance function is a metric space, and in fact a Riemannian manifold as Singer observed. Furthermore, this manifold is complete. Gauge configurations can be used to parametrize the manifold. The metric tensor without gauge fixing has zero eigenvalues, but is free of ambiguities on the entire manifold. In $2+1$ dimensions the problem of finding the distance from any configuration to a pure gauge configuration is an integrable system of two-dimensional differential equations. A calculus of manifolds with singular metric tensors is developed and the Riemann curvature is calculated using this calculus. The Laplacian on Yang-Mills wave functionals has a slightly different form from that claimed earlier. In $3+1$-dimensions there are field configurations an arbitrarily large distance from a pure gauge configuration with arbitrarily small potential energy. These configurations resemble long-wavelength gluons. Reasons why there nevertheless can be a mass gap in the quantum theory are proposed.

11.240264

12.920289

12.109328

11.186767

12.702464

11.833793

13.564036

12.82864

12.235495

12.88765

11.48513

10.529284

11.288694

11.012949

10.9467

11.102621

11.030875

10.948778

10.72679

11.191616

11.041116

hep-th/0306162

Guendel Eduardo

E.I.Guendelman

Scale Symmetry Breaking from the Dynamics of Maximal Rank Gauge Field Strengths

14 pages, latex, no figures, references added

Int.J.Mod.Phys. A19 (2004) 3255

10.1142/S0217751X04019317

BGU-Phys/300123

hep-th

null

Scale invariant theories which contain maximal rank gauge field strengths (of $D$ indices in $D$ dimensions) are studied. The integration of the equations of motion of these gauge fields leads to the s.s.b. of scale invariance. The cases in study are: i) the spontaneous generation of $r^{-1}$ potentials in particle mechanics in a theory that contains only $r^{-2}$ potentials in the scale invariant phase, ii) mass generation in scalar field theories iii) generation of non trivial dilaton potentials in generally covariant theories, iv) spontaneous generation of confining behavior in gauge theories. The possible origin of these models is discussed.

[ { "created": "Tue, 17 Jun 2003 13:50:16 GMT", "version": "v1" }, { "created": "Wed, 18 Jun 2003 14:55:20 GMT", "version": "v2" } ]

2009-11-10

[ [ "Guendelman", "E. I.", "" ] ]

Scale invariant theories which contain maximal rank gauge field strengths (of $D$ indices in $D$ dimensions) are studied. The integration of the equations of motion of these gauge fields leads to the s.s.b. of scale invariance. The cases in study are: i) the spontaneous generation of $r^{-1}$ potentials in particle mechanics in a theory that contains only $r^{-2}$ potentials in the scale invariant phase, ii) mass generation in scalar field theories iii) generation of non trivial dilaton potentials in generally covariant theories, iv) spontaneous generation of confining behavior in gauge theories. The possible origin of these models is discussed.

15.016021

16.122589

16.325495

14.318003

15.165455

14.202518

13.814762

14.916172

14.1641

15.306331

14.746351

14.308881

13.412737

13.561676

13.122667

13.042608

13.604449

14.007202

12.897695

12.83458

14.356166

1412.7213

Kevin Ferreira

Kevin Ferreira and Matthias R. Gaberdiel

The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The large level limit of the $\mathcal{N}=2$ ${\rm SO}(2N)$ Kazama-Suzuki coset models is argued to be equivalent to the orbifold of $4N$ free fermions and bosons by the Lie group ${\rm SO}(2N) \times {\rm SO}(2)$. In particular, it is shown that the untwisted sector of the continuous orbifold accounts for a certain closed subsector of the coset theory. Furthermore, the ground states of the twisted sectors are identified with specific coset representations, and this identification is checked by various independent arguments.

[ { "created": "Mon, 22 Dec 2014 23:49:06 GMT", "version": "v1" } ]

2014-12-24

[ [ "Ferreira", "Kevin", "" ], [ "Gaberdiel", "Matthias R.", "" ] ]

The large level limit of the $\mathcal{N}=2$ ${\rm SO}(2N)$ Kazama-Suzuki coset models is argued to be equivalent to the orbifold of $4N$ free fermions and bosons by the Lie group ${\rm SO}(2N) \times {\rm SO}(2)$. In particular, it is shown that the untwisted sector of the continuous orbifold accounts for a certain closed subsector of the coset theory. Furthermore, the ground states of the twisted sectors are identified with specific coset representations, and this identification is checked by various independent arguments.

5.967036

5.732521

7.925206

5.703154

5.876771

5.352489

5.834133

5.659382

5.339539

7.863901

5.414309

5.504624

6.318498

5.46508

5.637234

5.523499

5.311642

5.552606

5.626168

6.896996

5.594848

1107.5843

Massimo Taronna

M. Taronna (Scuola Normale Superiore)

Higher-Spin Interactions: four-point functions and beyond

66 pages, 10 figures, 1 table, LaTex. Several statements clarified. Final version to appear in JHEP

null

10.1007/JHEP04(2012)029

null

hep-th gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this work we construct an infinite class of four-point functions for massless higher-spin fields in flat space that are consistent with the gauge symmetry. In the Lagrangian picture, these reflect themselves in a peculiar non-local nature of the corresponding non-abelian higher-spin couplings implied by the Noether procedure that starts from the fourth order. We also comment on the nature of the colored spin-2 excitation present both in the open string spectrum and in the Vasiliev system, highlighting how some aspects of String Theory appear to reflect key properties of Field Theory that go beyond its low energy limit. A generalization of these results to n-point functions, fermions and mixed-symmetry fields is also addressed.

[ { "created": "Thu, 28 Jul 2011 22:30:54 GMT", "version": "v1" }, { "created": "Thu, 22 Mar 2012 21:44:02 GMT", "version": "v2" } ]

2015-05-30

[ [ "Taronna", "M.", "", "Scuola Normale Superiore" ] ]

In this work we construct an infinite class of four-point functions for massless higher-spin fields in flat space that are consistent with the gauge symmetry. In the Lagrangian picture, these reflect themselves in a peculiar non-local nature of the corresponding non-abelian higher-spin couplings implied by the Noether procedure that starts from the fourth order. We also comment on the nature of the colored spin-2 excitation present both in the open string spectrum and in the Vasiliev system, highlighting how some aspects of String Theory appear to reflect key properties of Field Theory that go beyond its low energy limit. A generalization of these results to n-point functions, fermions and mixed-symmetry fields is also addressed.

14.362852

12.831509

13.864328

13.450152

12.744191

12.665746

13.573062

12.518569

12.241205

15.774257

12.239501

12.743254

12.989915

12.938575

13.274375

13.512037

13.33239

13.205056

12.980259

14.128278

13.039757

1911.08222

Brett McInnes

Characterising the Most Rapidly Rotating AdS$_5$-Kerr Black Holes

9 pages, 2 figures

Class. Quantum Grav. 38 095001 (2021)

10.1088/1361-6382/abe144

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Classical Censorship permits AdS$_5$-Kerr black holes with arbitrarily large angular momenta per unit mass, which does not seem reasonable from a holographic point of view. However, it has been shown that, when these black holes are embedded in string theory, their angular momentum per unit mass is in fact bounded by $2\sqrt{2}L$, where $L$ is the asymptotic curvature scale. One might suppose that the most rapidly rotating AdS$_5$-Kerr black holes, with angular momentum per unit mass close to this bound, might be unstable, for example, to a superradiant instability. We show that this is not always true: there is a small domain in the AdS$_5$-Kerr parameter space corresponding to black holes which are stable against superradiance and yet nearly saturate the stringy bound.

[ { "created": "Tue, 19 Nov 2019 12:24:27 GMT", "version": "v1" }, { "created": "Wed, 4 Dec 2019 02:13:26 GMT", "version": "v2" }, { "created": "Tue, 28 Jun 2022 01:09:50 GMT", "version": "v3" } ]

2022-07-06

[ [ "McInnes", "Brett", "" ] ]

Classical Censorship permits AdS$_5$-Kerr black holes with arbitrarily large angular momenta per unit mass, which does not seem reasonable from a holographic point of view. However, it has been shown that, when these black holes are embedded in string theory, their angular momentum per unit mass is in fact bounded by $2\sqrt{2}L$, where $L$ is the asymptotic curvature scale. One might suppose that the most rapidly rotating AdS$_5$-Kerr black holes, with angular momentum per unit mass close to this bound, might be unstable, for example, to a superradiant instability. We show that this is not always true: there is a small domain in the AdS$_5$-Kerr parameter space corresponding to black holes which are stable against superradiance and yet nearly saturate the stringy bound.

6.128651

6.559443

5.933747

6.280591

6.136446

5.850888

5.996246

6.037455

5.807917

5.952824

5.966049

5.983104

5.643321

5.57032

5.667753

5.817052

5.433927

5.573062

5.547103

5.798623

6.031884

hep-th/9807024

Daniel Zwanziger

L. Baulieu (CERN), D. Zwanziger (New York University)

Renormalizable Non-Covariant Gauges and Coulomb Gauge Limit

37 pages, latex; 3 postscript figures

Nucl.Phys. B548 (1999) 527-562

10.1016/S0550-3213(99)00074-7

CERN-9894, LPTHE-9818, NYU-9809

hep-th

null

To study ``physical'' gauges such as the Coulomb, light-cone, axial or temporal gauge, we consider ``interpolating'' gauges which interpolate linearly between a covariant gauge, such as the Feynman or Landau gauge, and a physical gauge. Lorentz breaking by the gauge-fixing term of interpolating gauges is controlled by extending the BRST method to include not only the local gauge group, but also the global Lorentz group. We enumerate the possible divergences of interpolating gauges, and show that they are renormalizable, and we show that the expectation value of physical observables is the same as in a covariant gauge. In the second part of the article we study the Coulomb-gauge as the singular limit of the Landau-Coulomb interpolating gauge. We find that unrenormalized and renormalized correlation functions are finite in this limit. We also find that there are finite two-loop diagrams of ``unphysical'' particles that are not present in formal canonical quantization in the Coulomb gauge. We verify that in the same limit, the Gauss-BRST Ward identity holds, which is the functional analog of the operator statement that a BRST transformation is generated by the Gauss-BRST charge. As a consequence, $gA_0$ is invariant under renormalization, whereas in a covariant gauge, no component of the gluon field has this property.

[ { "created": "Thu, 2 Jul 1998 19:50:57 GMT", "version": "v1" } ]

2009-10-31

[ [ "Baulieu", "L.", "", "CERN" ], [ "Zwanziger", "D.", "", "New York University" ] ]

To study ``physical'' gauges such as the Coulomb, light-cone, axial or temporal gauge, we consider ``interpolating'' gauges which interpolate linearly between a covariant gauge, such as the Feynman or Landau gauge, and a physical gauge. Lorentz breaking by the gauge-fixing term of interpolating gauges is controlled by extending the BRST method to include not only the local gauge group, but also the global Lorentz group. We enumerate the possible divergences of interpolating gauges, and show that they are renormalizable, and we show that the expectation value of physical observables is the same as in a covariant gauge. In the second part of the article we study the Coulomb-gauge as the singular limit of the Landau-Coulomb interpolating gauge. We find that unrenormalized and renormalized correlation functions are finite in this limit. We also find that there are finite two-loop diagrams of ``unphysical'' particles that are not present in formal canonical quantization in the Coulomb gauge. We verify that in the same limit, the Gauss-BRST Ward identity holds, which is the functional analog of the operator statement that a BRST transformation is generated by the Gauss-BRST charge. As a consequence, $gA_0$ is invariant under renormalization, whereas in a covariant gauge, no component of the gluon field has this property.

7.051719

8.024354

7.740012

7.319561

7.694932

8.00261

7.604876

7.910924

7.64199

8.041832

7.253371

6.870357

6.874442

6.853281

6.945165

6.842621

7.081775

7.014172

6.998357

7.00955

6.987747

hep-th/9710190

null

M. Faber, A. N.Ivanov and N.I.Troitskaya (Vienna Techn. Univ.)

Nambu-Jona-Lasinio approach to realization of confining medium

15 pages, Latex, no figures

NuovoCim.A111:513-526,1998

10.1007/BF03185585

null

hep-th

null

The mechanism of a confining medium is investigated within the Nambu-Jona-Lasinio (NJL) approach. It is shown that a confining medium can be realized in the bosonized phase of the NJL model due to vacuum fluctuations of both fermion and Higgs (scalar fermion-antifermion collective excitation) fields. In such an approach there is no need to introduce Dirac strings.

[ { "created": "Fri, 24 Oct 1997 17:39:49 GMT", "version": "v1" }, { "created": "Wed, 28 Jan 1998 20:39:35 GMT", "version": "v2" } ]

2022-03-02

[ [ "Faber", "M.", "", "Vienna Techn. Univ." ], [ "Ivanov", "A. N.", "", "Vienna Techn. Univ." ], [ "Troitskaya", "N. I.", "", "Vienna Techn. Univ." ] ]

The mechanism of a confining medium is investigated within the Nambu-Jona-Lasinio (NJL) approach. It is shown that a confining medium can be realized in the bosonized phase of the NJL model due to vacuum fluctuations of both fermion and Higgs (scalar fermion-antifermion collective excitation) fields. In such an approach there is no need to introduce Dirac strings.

7.29601

7.069035

6.78061

6.674169

7.003255

7.48178

6.603135

6.500936

6.27919

7.239808

6.674966

6.129565

6.628841

6.47964

6.351618

6.394429

6.411646

6.257864

6.569773

7.033873

6.212457

1511.03413

Clemens Wieck

Emilian Dudas, Clemens Wieck

Inflation, the scale of supersymmetry breaking, and moduli stabilization

12 pages, 4 figures. Contribution to the proceedings of the 18th International Conference `From the Planck Scale to the Electroweak Scale', 25-29 May 2015, Ioannina, Greece

null

hep-th astro-ph.CO hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We review the effects of heavy scalar fields during inflation in the framework of $\mathcal N = 1$ supergravity. Such heavy scalars can be geometric moduli from string compactifications or stabilizer fields from a different sector of the theory. Even when these fields are heavier than the Hubble scale during inflation, they generically cause backreactions which alter the dynamics of the system. Severe problems may arise when the heavy fields break supersymmetry, which is quite generic for K\"ahler moduli. We illustrate these effects in two examples, chaotic inflation and Starobinsky-like inflation. In chaotic inflation the backreaction of heavy K\"ahler moduli causes a flattening of the quadratic potential. In many setups of Starobinsky-like inflation, however, backreactions spoil the flatness of the plateau.

[ { "created": "Wed, 11 Nov 2015 08:06:22 GMT", "version": "v1" } ]

2015-11-12

[ [ "Dudas", "Emilian", "" ], [ "Wieck", "Clemens", "" ] ]

We review the effects of heavy scalar fields during inflation in the framework of $\mathcal N = 1$ supergravity. Such heavy scalars can be geometric moduli from string compactifications or stabilizer fields from a different sector of the theory. Even when these fields are heavier than the Hubble scale during inflation, they generically cause backreactions which alter the dynamics of the system. Severe problems may arise when the heavy fields break supersymmetry, which is quite generic for K\"ahler moduli. We illustrate these effects in two examples, chaotic inflation and Starobinsky-like inflation. In chaotic inflation the backreaction of heavy K\"ahler moduli causes a flattening of the quadratic potential. In many setups of Starobinsky-like inflation, however, backreactions spoil the flatness of the plateau.

7.095762

7.215925

7.550998

6.620809

6.747375

6.946906

6.593774

6.471136

6.831101

7.264728

6.872634

6.726126

6.849327

6.675189

6.979461

6.670997

6.725724

6.980547

6.742992

6.886569

6.870732

hep-th/0106002

Wung-Hong Huang

Boundary String Field Theory Approach to High-Temperature Tachyon Potential

20 pages, add discussions about boundary action

null

hep-th

null

The boundary string field theory approach is used to evaluate the one-loop tachyon potential. We first discuss the boundary condition at the two boundaries on annulus diagram and then the exact form of corrected potentials at zero and high temperature are obtained. The profile of the tachyon potential is found to be temperature independent and tachyon will condense at high temperature. Our investigations also provide an easy way to prove the universality of the tachyon potential, even if the string is in the thermal background.

[ { "created": "Fri, 1 Jun 2001 09:03:00 GMT", "version": "v1" }, { "created": "Wed, 6 Jun 2001 09:14:41 GMT", "version": "v2" }, { "created": "Sat, 28 Jul 2001 02:14:27 GMT", "version": "v3" }, { "created": "Fri, 10 Aug 2001 02:18:58 GMT", "version": "v4" }, { "created": "Tue, 22 Jan 2002 08:46:00 GMT", "version": "v5" } ]

2007-05-23

[ [ "Huang", "Wung-Hong", "" ] ]

The boundary string field theory approach is used to evaluate the one-loop tachyon potential. We first discuss the boundary condition at the two boundaries on annulus diagram and then the exact form of corrected potentials at zero and high temperature are obtained. The profile of the tachyon potential is found to be temperature independent and tachyon will condense at high temperature. Our investigations also provide an easy way to prove the universality of the tachyon potential, even if the string is in the thermal background.

15.069994

12.455378

14.004569

12.163283

12.32603

12.038713

12.003041

13.198854

12.198908

15.857609

11.717902

12.772747

13.259812

13.098115

12.951574

13.41156

12.828046

13.40955

13.299813

13.912742

13.362982

hep-th/9412067

Nikolay E. Andreev

V.V.Dodonov, S.Yu.Kalmykov, V.I.Man'ko

Statistical Properties of Schr\"odinger Real and Imaginary Cat States

13 pages, LaTEX

null

10.1016/0375-9601(95)00048-8

INFN-IV-55/94 DSF-T-55/94

hep-th

null

We study the Photon statistics in the superpositions of coherent states $|\alpha\rangle$ and $|\alpha^*\rangle$ named ``Schr\"odinger real and imaginary cat states''. The oscillatory character of photon distribution function (PDF) emerging due to the quantum interference between the two components is shown, and the phenomenon of the quadrature squeezing is observed for the moderate values of $|\alpha|\sim 1$. Despite the quantity ${\langle\triangle n^2\rangle}/{\langle n\rangle}$ tends to the unit value (like in the Poissonian PDF) at $|\alpha|\gg 1$, the photon statistics is essentially non-Poissonian for all values of $|\alpha|$. The factorial moments and cumulants of the PDF are calculated, and the oscillations of their ratio are demonstrated.

[ { "created": "Wed, 7 Dec 1994 15:28:48 GMT", "version": "v1" } ]

2015-06-26

[ [ "Dodonov", "V. V.", "" ], [ "Kalmykov", "S. Yu.", "" ], [ "Man'ko", "V. I.", "" ] ]

We study the Photon statistics in the superpositions of coherent states $|\alpha\rangle$ and $|\alpha^*\rangle$ named ``Schr\"odinger real and imaginary cat states''. The oscillatory character of photon distribution function (PDF) emerging due to the quantum interference between the two components is shown, and the phenomenon of the quadrature squeezing is observed for the moderate values of $|\alpha|\sim 1$. Despite the quantity ${\langle\triangle n^2\rangle}/{\langle n\rangle}$ tends to the unit value (like in the Poissonian PDF) at $|\alpha|\gg 1$, the photon statistics is essentially non-Poissonian for all values of $|\alpha|$. The factorial moments and cumulants of the PDF are calculated, and the oscillations of their ratio are demonstrated.

7.539105

8.839952

7.688644

7.652435

7.873753

7.972278

8.272562

7.878264

7.335567

8.140378

7.860858

7.419531

7.338622

7.320105

7.805731

7.930219

7.53428

7.840648

7.429938

7.438385

7.372969

hep-th/9706123

Jose Acacio de Barros

J. Acacio de Barros (1), Ilya L. Shapiro (1 and 2) ((1) Federal University at Juiz de Fora, Brazil, (2) Tomsk State Pedagogical Institute, Russia)

Renormalization group study of the higher derivative conformal scalar model

12 pages, LaTeX

Phys.Lett.B412:242-252,1997

10.1016/S0370-2693(97)01020-4

null

hep-th gr-qc

null

The second alternative conformal limit of the recently proposed general higher derivative dilaton quantum theory in curved spacetime is explored. In this version of the theory the dilaton is transformed, along with the metric, to provide the conformal invariance of the classical action. We find the corresponding quantum theory to be renormalizable at one loop, and the renormalization constants for the dimensionless parameters are explicitly shown to be universal for an arbitrary parametrization of the quantum field. The renormalization group equations indicate an asymptotic freedom in the IR limit. In this respect the theory is similar to the well-known model based on the anomaly-induced effective action.

[ { "created": "Mon, 16 Jun 1997 21:41:59 GMT", "version": "v1" } ]

2009-02-25

[ [ "de Barros", "J. Acacio", "", "1 and 2" ], [ "Shapiro", "Ilya L.", "", "1 and 2" ] ]

The second alternative conformal limit of the recently proposed general higher derivative dilaton quantum theory in curved spacetime is explored. In this version of the theory the dilaton is transformed, along with the metric, to provide the conformal invariance of the classical action. We find the corresponding quantum theory to be renormalizable at one loop, and the renormalization constants for the dimensionless parameters are explicitly shown to be universal for an arbitrary parametrization of the quantum field. The renormalization group equations indicate an asymptotic freedom in the IR limit. In this respect the theory is similar to the well-known model based on the anomaly-induced effective action.

10.224638

9.884254

10.405487

9.284939

10.643456

9.620117

9.375407

9.324609

9.870302

10.635151

9.514416

9.44603

9.6791

9.317636

9.8382

9.409201

9.384809

9.255857

9.611974

9.517923

9.754858

1908.06956

Yvette Welling

Ana Ach\'ucarro, Gonzalo Palma, Dong-Gang Wang, Yvette Welling

Origin of ultra-light fields during inflation and their suppressed non-Gaussianity

12 pages + 2 pages appendices

null

10.1088/1475-7516/2020/10/018

DESY-19-121

hep-th astro-ph.CO gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the structure of multi-field inflation models where the primordial curvature perturbation is able to vigorously interact with an ultra-light isocurvature field -- a massless fluctuation orthogonal to the background inflationary trajectory in field space. We identify a class of inflationary models where ultra-light fields can emerge as a consequence of an underlying "scaling transformation" that rescales the entire system's action and keeps the classical equations of motion invariant. This scaling invariance ensures the existence of an ultra-light fluctuation that freezes after horizon crossing. If the inflationary trajectory is misaligned with respect to the scaling symmetry direction, then the isocurvature field is proportional to this ultra-light field, and becomes massless. In addition, we find that even if the isocurvature field interacts strongly with the curvature perturbation --transferring its own statistics to the curvature perturbation-- it is unable to induce large non-Gaussianity. The reason is simply that the same mechanism ensuring a suppressed mass for the isocurvature field is also responsible for suppressing its self-interactions. As a result, in models with light isocurvature fields the bispectrum is generally expected to be slow-roll suppressed, but with a squeezed limit that differs from Maldacena's consistency relation.

[ { "created": "Mon, 19 Aug 2019 17:47:22 GMT", "version": "v1" } ]

2020-10-14

[ [ "Achúcarro", "Ana", "" ], [ "Palma", "Gonzalo", "" ], [ "Wang", "Dong-Gang", "" ], [ "Welling", "Yvette", "" ] ]

We study the structure of multi-field inflation models where the primordial curvature perturbation is able to vigorously interact with an ultra-light isocurvature field -- a massless fluctuation orthogonal to the background inflationary trajectory in field space. We identify a class of inflationary models where ultra-light fields can emerge as a consequence of an underlying "scaling transformation" that rescales the entire system's action and keeps the classical equations of motion invariant. This scaling invariance ensures the existence of an ultra-light fluctuation that freezes after horizon crossing. If the inflationary trajectory is misaligned with respect to the scaling symmetry direction, then the isocurvature field is proportional to this ultra-light field, and becomes massless. In addition, we find that even if the isocurvature field interacts strongly with the curvature perturbation --transferring its own statistics to the curvature perturbation-- it is unable to induce large non-Gaussianity. The reason is simply that the same mechanism ensuring a suppressed mass for the isocurvature field is also responsible for suppressing its self-interactions. As a result, in models with light isocurvature fields the bispectrum is generally expected to be slow-roll suppressed, but with a squeezed limit that differs from Maldacena's consistency relation.

8.342315

8.01291

8.575799

8.353449

9.1791

8.103919

8.830682

8.442481

8.095075

9.098546

7.74948

8.332366

8.126898

8.166059

8.186634

8.250127

8.31336

8.057904

7.977036

8.49511

8.013584

hep-th/0002236

Enrique F. Moreno

E.F. Moreno and F.A. Schaposnik

The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models

11 pages, no figures, LaTex file

JHEP 0003 (2000) 032

10.1088/1126-6708/2000/03/032

null

hep-th

null

We study the effective action associated to the Dirac operator in two dimensional non-commutative Field Theory. Starting from the axial anomaly, we compute the determinant of the Dirac operator and we find that even in the U(1) theory, a Wess-Zumino-Witten like term arises.

[ { "created": "Mon, 28 Feb 2000 14:56:08 GMT", "version": "v1" }, { "created": "Fri, 10 Mar 2000 02:45:00 GMT", "version": "v2" } ]

2009-10-31

[ [ "Moreno", "E. F.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We study the effective action associated to the Dirac operator in two dimensional non-commutative Field Theory. Starting from the axial anomaly, we compute the determinant of the Dirac operator and we find that even in the U(1) theory, a Wess-Zumino-Witten like term arises.

8.058499

7.101292

7.273081

6.464084

7.189203

6.787217

6.791951

6.687863

6.765979

8.286657

6.800581

7.408497

8.235851

7.313518

7.152894

7.158425

7.339108

7.521555

7.086256

8.331745

7.170998

hep-th/0210167

Adil Belhaj

A. Belhaj and E.H. Saidi

NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion

38 pages, Latex

J.Phys. A38 (2005) 721-748

10.1088/0305-4470/38/3/010

null

hep-th

null

Using the algebraic geometric approach of Berenstein et {\it al} (hep-th/005087 and hep-th/009209) and methods of toric geometry, we study non commutative (NC) orbifolds of Calabi-Yau hypersurfaces in toric varieties with discrete torsion. We first develop a new way of getting complex $d$ mirror Calabi-Yau hypersurfaces $H_{\Delta}^{\ast d}$ in toric manifolds $M_{\Delta }^{\ast (d+1)}$ with a $C^{\ast r}$ action and analyze the general group of the discrete isometries of $H_{\Delta}^{\ast d}$. Then we build a general class of $d$ complex dimension NC mirror Calabi-Yau orbifolds where the non commutativity parameters $\theta_{\mu \nu}$ are solved in terms of discrete torsion and toric geometry data of $M_{\Delta}^{(d+1)}$ in which the original Calabi-Yau hypersurfaces is embedded. Next we work out a generalization of the NC algebra for generic $d$ dimensions NC Calabi-Yau manifolds and give various representations depending on different choices of the Calabi-Yau toric geometry data. We also study fractional D-branes at orbifold points. We refine and extend the result for NC $% (T^{2}\times T^{2}\times T^{2})/(\mathbf{{Z_{2}}\times {Z_{2})}}$ to higher dimensional torii orbifolds in terms of Clifford algebra.

[ { "created": "Thu, 17 Oct 2002 14:45:45 GMT", "version": "v1" } ]

2009-11-07

[ [ "Belhaj", "A.", "" ], [ "Saidi", "E. H.", "" ] ]

Using the algebraic geometric approach of Berenstein et {\it al} (hep-th/005087 and hep-th/009209) and methods of toric geometry, we study non commutative (NC) orbifolds of Calabi-Yau hypersurfaces in toric varieties with discrete torsion. We first develop a new way of getting complex $d$ mirror Calabi-Yau hypersurfaces $H_{\Delta}^{\ast d}$ in toric manifolds $M_{\Delta }^{\ast (d+1)}$ with a $C^{\ast r}$ action and analyze the general group of the discrete isometries of $H_{\Delta}^{\ast d}$. Then we build a general class of $d$ complex dimension NC mirror Calabi-Yau orbifolds where the non commutativity parameters $\theta_{\mu \nu}$ are solved in terms of discrete torsion and toric geometry data of $M_{\Delta}^{(d+1)}$ in which the original Calabi-Yau hypersurfaces is embedded. Next we work out a generalization of the NC algebra for generic $d$ dimensions NC Calabi-Yau manifolds and give various representations depending on different choices of the Calabi-Yau toric geometry data. We also study fractional D-branes at orbifold points. We refine and extend the result for NC $% (T^{2}\times T^{2}\times T^{2})/(\mathbf{{Z_{2}}\times {Z_{2})}}$ to higher dimensional torii orbifolds in terms of Clifford algebra.

7.974899

7.860169

8.986303

7.693712

8.087033

8.317514

7.859018

8.119002

7.958706

9.246509

7.855105

7.68028

7.992416

7.728472

7.781677

7.799209

7.821409

7.785353

7.613585

8.210303

7.830758

hep-th/0406212

Yuji Okawa

Yuji Okawa and Barton Zwiebach (MIT)

Heterotic String Field Theory

15 pages, no figures, LaTeX2e; v2: minor cosmetic changes

JHEP 0407 (2004) 042

10.1088/1126-6708/2004/07/042

MIT-CTP-3506

hep-th

null

We construct the Neveu-Schwarz sector of heterotic string field theory using the large Hilbert space of the superghosts and the multi-string products of bosonic closed string field theory. No picture-changing operators are required as in Wess-Zumino-Witten-like open superstring field theory. The action exhibits a novel kind of nonpolynomiality: in addition to terms necessary to cover missing regions of moduli spaces, new terms arise from the boundary of the missing regions and its subspaces. We determine the action up to quintic order and a subset of terms to all orders.

[ { "created": "Wed, 23 Jun 2004 16:17:11 GMT", "version": "v1" }, { "created": "Thu, 8 Jul 2004 21:17:40 GMT", "version": "v2" } ]

2009-11-10

[ [ "Okawa", "Yuji", "", "MIT" ], [ "Zwiebach", "Barton", "", "MIT" ] ]

We construct the Neveu-Schwarz sector of heterotic string field theory using the large Hilbert space of the superghosts and the multi-string products of bosonic closed string field theory. No picture-changing operators are required as in Wess-Zumino-Witten-like open superstring field theory. The action exhibits a novel kind of nonpolynomiality: in addition to terms necessary to cover missing regions of moduli spaces, new terms arise from the boundary of the missing regions and its subspaces. We determine the action up to quintic order and a subset of terms to all orders.

10.883917

10.329139

14.261158

10.246679

10.283217

10.401177

9.468616

10.871326

10.206994

14.139351

9.984905

10.233461

10.712892

10.055275

10.350139

10.186275

10.048124

10.0649

9.975566

11.255939

10.448453

1410.0558

Moshe Moshe

Moshe Moshe and Jean Zinn-Justin

3D Field Theories with Chern--Simons Term for Large $N$ in the Weyl Gauge

84 pages, 7 figures. A new section (9.6) added where we discuss the fermion-boson dual mapping and a reference added

JHEP 1501 (2015) 054

10.1007/JHEP01(2015)054

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal invariant ground state as well as the conditions for a massive phase. We analyze the phase structure and calculate gauge invariant corelators comparing them in several cases to existing results. In addition to the non-critical explicitly broken scale invariance massive case we consider also a massive ground state where the scale symmetry is spontaneously broken. We show that such a phase appears only in the presence of a marginal deformation that is introduced by adding a certain scalar auxiliary field and discuss the fermion-boson dual mapping. The ground state contains in this case a massless $U(N)$ singlet bound state goldstone boson- the dilaton whose properties are determined. We employ here the temporal gauge which is at variance with respect to past calculations using the light-cone gauge and thus, a check (though limited) of gauge independence is at hand. The large $N$ properties are determined by using a field integral formalism and the steepest descent method. The saddle point equations, which take here the form of integral equations for non-local fields, determine the mass gap and the dressed fermion propagator. Vertex functions are calculated at leading order in $1/N$ as exact solutions of integral equations. From the vertex functions, we infer gauge invariant two-point correlation functions for scalar operators and a current. Indications about the consistency of the method are obtained by verifying that gauge-invariant quantities have a natural $O(3)$ covariant form. As a further verification, in several occasions, a few terms of the perturbative expansion are calculated and compared with the exact results in the appropriate order.

[ { "created": "Thu, 2 Oct 2014 14:11:36 GMT", "version": "v1" }, { "created": "Fri, 10 Oct 2014 08:48:52 GMT", "version": "v2" } ]

2019-10-15

[ [ "Moshe", "Moshe", "" ], [ "Zinn-Justin", "Jean", "" ] ]

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal invariant ground state as well as the conditions for a massive phase. We analyze the phase structure and calculate gauge invariant corelators comparing them in several cases to existing results. In addition to the non-critical explicitly broken scale invariance massive case we consider also a massive ground state where the scale symmetry is spontaneously broken. We show that such a phase appears only in the presence of a marginal deformation that is introduced by adding a certain scalar auxiliary field and discuss the fermion-boson dual mapping. The ground state contains in this case a massless $U(N)$ singlet bound state goldstone boson- the dilaton whose properties are determined. We employ here the temporal gauge which is at variance with respect to past calculations using the light-cone gauge and thus, a check (though limited) of gauge independence is at hand. The large $N$ properties are determined by using a field integral formalism and the steepest descent method. The saddle point equations, which take here the form of integral equations for non-local fields, determine the mass gap and the dressed fermion propagator. Vertex functions are calculated at leading order in $1/N$ as exact solutions of integral equations. From the vertex functions, we infer gauge invariant two-point correlation functions for scalar operators and a current. Indications about the consistency of the method are obtained by verifying that gauge-invariant quantities have a natural $O(3)$ covariant form. As a further verification, in several occasions, a few terms of the perturbative expansion are calculated and compared with the exact results in the appropriate order.

12.284833

13.684071

13.26685

12.209918

13.273789

13.221605

13.316988

12.526935

12.359656

13.984249

12.007639

12.30452

12.214462

11.73276

11.826157

11.535947

11.738292

11.700214

11.707863

12.427925

11.732789

hep-th/0305195

Olaf Lechtenfeld

Tatiana A. Ivanova, Olaf Lechtenfeld

Noncommutative Multi-Instantons on R^{2n} x S^2

1+8 pages, v2: reference added, version published in PLB

Phys.Lett. B567 (2003) 107-115

10.1016/S0370-2693(03)00868-2

null

hep-th

null

Generalizing self-duality on R^2 x S^2 to higher dimensions, we consider the Donaldson-Uhlenbeck-Yau equations on R^{2n} x S^2 and their noncommutative deformation for the gauge group U(2). Imposing SO(3) invariance (up to gauge transformations) reduces these equations to vortex-type equations for an abelian gauge field and a complex scalar on R^{2n}_\theta. For a special S^2-radius R depending on the noncommutativity \theta we find explicit solutions in terms of shift operators. These vortex-like configurations on R^{2n}_\theta determine SO(3)-invariant multi-instantons on R^{2n}_\theta x S^2_R for R=R(\theta). The latter may be interpreted as sub-branes of codimension 2n inside a coincident pair of noncommutative Dp-branes with an S^2 factor of suitable size.

[ { "created": "Thu, 22 May 2003 19:50:17 GMT", "version": "v1" }, { "created": "Mon, 16 Jun 2003 13:02:55 GMT", "version": "v2" } ]

2010-04-05

[ [ "Ivanova", "Tatiana A.", "" ], [ "Lechtenfeld", "Olaf", "" ] ]

Generalizing self-duality on R^2 x S^2 to higher dimensions, we consider the Donaldson-Uhlenbeck-Yau equations on R^{2n} x S^2 and their noncommutative deformation for the gauge group U(2). Imposing SO(3) invariance (up to gauge transformations) reduces these equations to vortex-type equations for an abelian gauge field and a complex scalar on R^{2n}_\theta. For a special S^2-radius R depending on the noncommutativity \theta we find explicit solutions in terms of shift operators. These vortex-like configurations on R^{2n}_\theta determine SO(3)-invariant multi-instantons on R^{2n}_\theta x S^2_R for R=R(\theta). The latter may be interpreted as sub-branes of codimension 2n inside a coincident pair of noncommutative Dp-branes with an S^2 factor of suitable size.

8.609251

7.097037

8.255167

7.100807

7.19302

7.071642

7.402581

7.360939

6.812687

8.526445

7.015551

7.176529

7.60407

7.33261

7.214108

7.200858

7.49658

7.303855

6.920542

7.908843

6.92801

1907.04332

Paola Ruggiero

Jiaju Zhang, Paola Ruggiero, Pasquale Calabrese

Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories

32 pages + 4 appendices

JHEP 1910 (2019) 181

10.1007/JHEP10(2019)181

null

hep-th cond-mat.stat-mech

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We report on a systematic replica approach to calculate the subsystem trace distance for a quantum field theory. This method has been recently introduced in [J. Zhang, P. Ruggiero, P. Calabrese, Phys. Rev. Lett. 122, 141602 (2019)], of which this work is a completion. The trace distance between two reduced density matrices $\rho_A$ and $\sigma_A$ is obtained from the moments $\textrm{tr} (\rho_A-\sigma_A)^n$ and taking the limit $n\to1$ of the traces of the even powers. We focus here on the case of a subsystem consisting of a single interval of length $\ell$ embedded in the low lying eigenstates of a one-dimensional critical system of length $L$, a situation that can be studied exploiting the path integral form of the reduced density matrices of two-dimensional conformal field theories. The trace distance turns out to be a scale invariant universal function of $\ell/L$. Here we complete our previous work by providing detailed derivations of all results and further new formulas for the distances between several low-lying states in two-dimensional free massless compact boson and fermion theories. Remarkably, for one special case in the bosonic theory and for another in the fermionic one, we obtain the exact trace distance, as well as the Schatten $n$-distance, for an interval of arbitrary length, while in generic case we have a general form for the first term in the expansion in powers of $\ell/L$. The analytical predictions in conformal field theories are tested against exact numerical calculations in XX and Ising spin chains, finding perfect agreement. As a byproduct, new results in two-dimensional CFT are also obtained for other entanglement-related quantities, such as the relative entropy and the fidelity.

[ { "created": "Tue, 9 Jul 2019 18:00:02 GMT", "version": "v1" }, { "created": "Thu, 19 Sep 2019 18:12:19 GMT", "version": "v2" } ]

2019-11-05

[ [ "Zhang", "Jiaju", "" ], [ "Ruggiero", "Paola", "" ], [ "Calabrese", "Pasquale", "" ] ]

We report on a systematic replica approach to calculate the subsystem trace distance for a quantum field theory. This method has been recently introduced in [J. Zhang, P. Ruggiero, P. Calabrese, Phys. Rev. Lett. 122, 141602 (2019)], of which this work is a completion. The trace distance between two reduced density matrices $\rho_A$ and $\sigma_A$ is obtained from the moments $\textrm{tr} (\rho_A-\sigma_A)^n$ and taking the limit $n\to1$ of the traces of the even powers. We focus here on the case of a subsystem consisting of a single interval of length $\ell$ embedded in the low lying eigenstates of a one-dimensional critical system of length $L$, a situation that can be studied exploiting the path integral form of the reduced density matrices of two-dimensional conformal field theories. The trace distance turns out to be a scale invariant universal function of $\ell/L$. Here we complete our previous work by providing detailed derivations of all results and further new formulas for the distances between several low-lying states in two-dimensional free massless compact boson and fermion theories. Remarkably, for one special case in the bosonic theory and for another in the fermionic one, we obtain the exact trace distance, as well as the Schatten $n$-distance, for an interval of arbitrary length, while in generic case we have a general form for the first term in the expansion in powers of $\ell/L$. The analytical predictions in conformal field theories are tested against exact numerical calculations in XX and Ising spin chains, finding perfect agreement. As a byproduct, new results in two-dimensional CFT are also obtained for other entanglement-related quantities, such as the relative entropy and the fidelity.

7.102776

7.066831

8.505111

7.079265

7.183483

7.69279

7.706258

6.792037

7.223549

8.744745

7.239825

7.104411

7.271711

7.191445

7.127571

7.126249

7.139557

7.248345

6.998857

7.395743

6.975137

hep-th/9907161

Bruto Max Pimentel Escobar

J. L. Boldo (CBPF, Rio de Janeiro), B. M. Pimentel (Sao Paulo, IFT) and J. L. Tomazelli (Sao Paulo U., Guaratingueta)

Remarks on Infrared Dynamics in QED3

9 pages

Can.J.Phys. 80 (2002) 1037-1042

10.1139/p02-058

null

hep-th

null

In this work we study how the infrared sector of the interaction Hamiltonian can affect the construction of the S matrix operator of QED in (2+1) dimensions.

[ { "created": "Mon, 19 Jul 1999 20:47:15 GMT", "version": "v1" } ]

2009-10-31

[ [ "Boldo", "J. L.", "", "CBPF, Rio de Janeiro" ], [ "Pimentel", "B. M.", "", "Sao Paulo, IFT" ], [ "Tomazelli", "J. L.", "", "Sao Paulo U., Guaratingueta" ] ]

In this work we study how the infrared sector of the interaction Hamiltonian can affect the construction of the S matrix operator of QED in (2+1) dimensions.

15.842463

10.584687

10.902598

11.155269

11.817347

12.359792

10.125006

9.945838

10.709829

10.993957

11.255777

11.379899

11.536062

11.264258

10.918396

10.963824

11.258405

11.981744

11.418537

12.140344

10.834428

1812.07317

Sourav Bhattacharya

Sourav Bhattacharya, Shankhadeep Chakrabortty and Shivang Goyal

Emergent $\alpha$-like fermionic vacuum structure and entanglement in the hyperbolic de Sitter spacetime

v2, 18pp, 5 figs.; manuscript consised a bit, main results emphasised, improved presentation; accepted in EPJC

null

10.1140/epjc/s10052-019-7319-x

null

hep-th gr-qc quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We report a non-trivial feature of the vacuum structure of free massive or massless Dirac fields in the hyperbolic de Sitter spacetime. Here we have two causally disconnected regions, say $R$ and $L$ separated by another region, $C$. We are interested in the field theory in $R\cup L$ to understand the long range quantum correlations between $R$ and $L$. There are local modes of the Dirac field having supports individually either in $R$ or $L$, as well as global modes found via analytically continuing the $R$ modes to $L$ and vice versa. However, we show that unlike the case of a scalar field, the analytic continuation does not preserve the orthogonality of the resulting global modes. Accordingly, we need to orthonormalise them following the Gram-Schmidt prescription, prior to the field quantisation in order to preserve the canonical anti-commutation relations. We observe that this prescription naturally incorporates a spacetime independent continuous parameter, $\theta_{\rm RL}$, into the picture. Thus interestingly, we obtain a naturally emerging one-parameter family of $\alpha$-like de Sitter vacua. The values of $\theta_{\rm RL}$ yielding the usual thermal spectra of massless created particles are pointed out. Next, using these vacua, we investigate both entanglement and R\'enyi entropies of either of the regions and demonstrate their dependence on $\theta_{\rm RL}$.

[ { "created": "Tue, 18 Dec 2018 11:59:33 GMT", "version": "v1" }, { "created": "Wed, 25 Sep 2019 08:00:19 GMT", "version": "v2" } ]

2019-10-23

[ [ "Bhattacharya", "Sourav", "" ], [ "Chakrabortty", "Shankhadeep", "" ], [ "Goyal", "Shivang", "" ] ]

We report a non-trivial feature of the vacuum structure of free massive or massless Dirac fields in the hyperbolic de Sitter spacetime. Here we have two causally disconnected regions, say $R$ and $L$ separated by another region, $C$. We are interested in the field theory in $R\cup L$ to understand the long range quantum correlations between $R$ and $L$. There are local modes of the Dirac field having supports individually either in $R$ or $L$, as well as global modes found via analytically continuing the $R$ modes to $L$ and vice versa. However, we show that unlike the case of a scalar field, the analytic continuation does not preserve the orthogonality of the resulting global modes. Accordingly, we need to orthonormalise them following the Gram-Schmidt prescription, prior to the field quantisation in order to preserve the canonical anti-commutation relations. We observe that this prescription naturally incorporates a spacetime independent continuous parameter, $\theta_{\rm RL}$, into the picture. Thus interestingly, we obtain a naturally emerging one-parameter family of $\alpha$-like de Sitter vacua. The values of $\theta_{\rm RL}$ yielding the usual thermal spectra of massless created particles are pointed out. Next, using these vacua, we investigate both entanglement and R\'enyi entropies of either of the regions and demonstrate their dependence on $\theta_{\rm RL}$.

9.184462

9.764997

9.55293

8.789549

9.319907

9.347301

10.003706

8.755965

9.081598

9.924724

9.196434

8.828145

9.073147

8.943751

8.877006

9.238787

9.277711

8.881223

8.972354

9.089029

8.946748

hep-th/0205091

Kirill Krasnov

Laurent Freidel (ENS-Lyon) and Kirill Krasnov (UCSB)

2D Conformal Field Theories and Holography

29+1 pages, many figures

J.Math.Phys.45:2378-2404,2004

10.1063/1.1745127

null

hep-th

null

It is known that the chiral part of any 2d conformal field theory defines a 3d topological quantum field theory: quantum states of this TQFT are the CFT conformal blocks. The main aim of this paper is to show that a similar CFT/TQFT relation exists also for the full CFT. The 3d topological theory that arises is a certain ``square'' of the chiral TQFT. Such topological theories were studied by Turaev and Viro; they are related to 3d gravity. We establish an operator/state correspondence in which operators in the chiral TQFT correspond to states in the Turaev-Viro theory. We use this correspondence to interpret CFT correlation functions as particular quantum states of the Turaev-Viro theory. We compute the components of these states in the basis in the Turaev-Viro Hilbert space given by colored 3-valent graphs. The formula we obtain is a generalization of the Verlinde formula. The later is obtained from our expression for a zero colored graph. Our results give an interesting ``holographic'' perspective on conformal field theories in 2 dimensions.

[ { "created": "Thu, 9 May 2002 22:03:12 GMT", "version": "v1" } ]

2010-11-19

[ [ "Freidel", "Laurent", "", "ENS-Lyon" ], [ "Krasnov", "Kirill", "", "UCSB" ] ]

It is known that the chiral part of any 2d conformal field theory defines a 3d topological quantum field theory: quantum states of this TQFT are the CFT conformal blocks. The main aim of this paper is to show that a similar CFT/TQFT relation exists also for the full CFT. The 3d topological theory that arises is a certain ``square'' of the chiral TQFT. Such topological theories were studied by Turaev and Viro; they are related to 3d gravity. We establish an operator/state correspondence in which operators in the chiral TQFT correspond to states in the Turaev-Viro theory. We use this correspondence to interpret CFT correlation functions as particular quantum states of the Turaev-Viro theory. We compute the components of these states in the basis in the Turaev-Viro Hilbert space given by colored 3-valent graphs. The formula we obtain is a generalization of the Verlinde formula. The later is obtained from our expression for a zero colored graph. Our results give an interesting ``holographic'' perspective on conformal field theories in 2 dimensions.

5.025283

5.745093

5.710283

5.405938

5.496439

5.663739

5.139861

5.116524

5.333124

6.12919

5.276351

5.13323

5.347062

5.139275

5.020278

5.0251

5.090257

5.114312

5.145654

5.241754

5.040552

1204.5177

Yoske Sumitomo

Yoske Sumitomo, S.-H. Henry Tye

A Stringy Mechanism for A Small Cosmological Constant

36 pages, 8 figures

null

10.1088/1475-7516/2012/08/032

null

hep-th astro-ph.CO hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Based on the probability distributions of products of random variables, we propose a simple stringy mechanism that prefers the meta-stable vacua with a small cosmological constant. We state some relevant properties of the probability distributions of functions of random variables. We then illustrate the mechanism within the flux compactification models in Type IIB string theory. As a result of the stringy dynamics, we argue that the generic probability distribution for the meta-stable vacua typically peaks with a divergent behavior at the zero value of the cosmological constant. However, its suppression in the single modulus model studied here is modest.

[ { "created": "Mon, 23 Apr 2012 20:00:00 GMT", "version": "v1" } ]

2015-06-04

[ [ "Sumitomo", "Yoske", "" ], [ "Tye", "S. -H. Henry", "" ] ]

Based on the probability distributions of products of random variables, we propose a simple stringy mechanism that prefers the meta-stable vacua with a small cosmological constant. We state some relevant properties of the probability distributions of functions of random variables. We then illustrate the mechanism within the flux compactification models in Type IIB string theory. As a result of the stringy dynamics, we argue that the generic probability distribution for the meta-stable vacua typically peaks with a divergent behavior at the zero value of the cosmological constant. However, its suppression in the single modulus model studied here is modest.

12.852547

12.409159

12.815543

11.556561

12.116563

13.645577

12.756026

12.717652

11.395082

13.19005

12.126542

12.135201

12.688971

11.859032

12.326627

12.35905

12.066687

12.229026

11.853969

12.116956

12.316553

hep-th/9610079

Hitoshi Konno

Michio Jimbo, Hitoshi Konno and Tetsuji Miwa

Massless $XXZ$ Model and Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$

22 pages, PS file, to appear in the proceedings of the conference ``Deformation Theory, Symplectic Geometry and Applications'', Centro Stefano Franscini of ETH Z\"urich, Monte Verit\`a, CH-6612 Ascona, June 16-22, 1996

null

hep-th

null

We consider an algebraic structure of the $XXZ$ model in the gapless regime. We argue that a certain degeneration limit of the elliptic algebra $A_{q,p}(\widehat{sl_2})$ is a relevant object. We give a free boson realization of this limiting algebra and derive an integral formula for the correlation function. The result agrees with the one obtained by solving a system of difference equations. We also discuss the relation of our algebra to the deformed Virasoro algebra and Lukyanov's bosonization of the sine-Gordon theory.

[ { "created": "Fri, 11 Oct 1996 01:32:20 GMT", "version": "v1" } ]

2007-05-23

[ [ "Jimbo", "Michio", "" ], [ "Konno", "Hitoshi", "" ], [ "Miwa", "Tetsuji", "" ] ]

We consider an algebraic structure of the $XXZ$ model in the gapless regime. We argue that a certain degeneration limit of the elliptic algebra $A_{q,p}(\widehat{sl_2})$ is a relevant object. We give a free boson realization of this limiting algebra and derive an integral formula for the correlation function. The result agrees with the one obtained by solving a system of difference equations. We also discuss the relation of our algebra to the deformed Virasoro algebra and Lukyanov's bosonization of the sine-Gordon theory.

7.014174

5.586357

7.984958

6.273739

6.600693

6.426386

6.276526

6.019275

6.069244

8.504142

6.60393

6.451085

7.174356

6.411502

6.459074

6.130774

6.27169

6.397035

6.40741

6.857583

6.488035

1803.09809

Carlos Hoyos Badajoz

Carlos Hoyos

A defect action for Wilson loops

19 pages + appendices, 2 figures, references added

null

10.1007/JHEP07(2018)045

null

hep-th hep-lat hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

An effective action is proposed to compute the expectation value of Wilson loops in $(S)U(N)$ gauge theories. The action consists of fermions localized on the loop and an Abelian gauge field that fixes the representation. The discussion is limited to weak coupling and Wilson loops in the fundamental representation extended along a smooth curve, but there are no restrictions on the matter content as long as the theory has a UV fixed point or it is conformal. For a circular Wilson loop it is found that the expectation value coincides at leading order with the exact result of the $1/2$ BPS Wilson loop of ${\cal N}=4$ super Yang-Mills, which is determined by a solvable Gaussian matrix model. This hints towards a universal connection to string theory duals and SYK models.

[ { "created": "Mon, 26 Mar 2018 19:31:57 GMT", "version": "v1" }, { "created": "Tue, 10 Apr 2018 14:50:08 GMT", "version": "v2" } ]

2018-08-01

[ [ "Hoyos", "Carlos", "" ] ]

An effective action is proposed to compute the expectation value of Wilson loops in $(S)U(N)$ gauge theories. The action consists of fermions localized on the loop and an Abelian gauge field that fixes the representation. The discussion is limited to weak coupling and Wilson loops in the fundamental representation extended along a smooth curve, but there are no restrictions on the matter content as long as the theory has a UV fixed point or it is conformal. For a circular Wilson loop it is found that the expectation value coincides at leading order with the exact result of the $1/2$ BPS Wilson loop of ${\cal N}=4$ super Yang-Mills, which is determined by a solvable Gaussian matrix model. This hints towards a universal connection to string theory duals and SYK models.

9.506426

10.593637

10.692608

9.416665

9.337394

9.849223

8.871962

9.884948

9.376718

10.485859

9.066089

8.934702

9.519167

8.835217

9.06333

9.129107

9.024836

9.217373

8.892751

9.458818

8.921824

hep-th/0606243

Axel Krause

Gottfried Curio and Axel Krause

S-Track Stabilization of Heterotic de Sitter Vacua

16 pages, 2 figures; final PRD version

Phys.Rev.D75:126003,2007

10.1103/PhysRevD.75.126003

LMU-ASC 41/06, HUTP-06/A0020

hep-th

null

We present a new mechanism, the S-Track, to stabilize the volume modulus S in heterotic M-theory flux compactifications along with the orbifold-size T besides complex structure and vector bundle moduli stabilization. The key dynamical ingredient which makes the volume modulus stabilization possible, is M5-instantons arising from M5-branes wrapping the whole Calabi-Yau slice. These are natural in heterotic M-theory where the warping shrinks the Calabi-Yau volume along S^1/Z_2. Combined with H-flux, open M2-instantons and hidden sector gaugino condensation it leads to a superpotential W which stabilizes S similar like a racetrack but without the need for multi gaugino condensation. Moreover, W contains two competing non-perturbative effects which stabilize T. We analyze the potential and superpotentials to show that it leads to heterotic de Sitter vacua with broken supersymmetry through non-vanishing F-terms.

[ { "created": "Mon, 26 Jun 2006 04:23:37 GMT", "version": "v1" }, { "created": "Thu, 13 Sep 2007 08:43:26 GMT", "version": "v2" } ]

2008-11-26

[ [ "Curio", "Gottfried", "" ], [ "Krause", "Axel", "" ] ]

We present a new mechanism, the S-Track, to stabilize the volume modulus S in heterotic M-theory flux compactifications along with the orbifold-size T besides complex structure and vector bundle moduli stabilization. The key dynamical ingredient which makes the volume modulus stabilization possible, is M5-instantons arising from M5-branes wrapping the whole Calabi-Yau slice. These are natural in heterotic M-theory where the warping shrinks the Calabi-Yau volume along S^1/Z_2. Combined with H-flux, open M2-instantons and hidden sector gaugino condensation it leads to a superpotential W which stabilizes S similar like a racetrack but without the need for multi gaugino condensation. Moreover, W contains two competing non-perturbative effects which stabilize T. We analyze the potential and superpotentials to show that it leads to heterotic de Sitter vacua with broken supersymmetry through non-vanishing F-terms.

11.225126

11.256314

11.7047

10.556147

11.682675

11.255358

10.951741

10.996425

10.970942

13.713593

10.565503

10.674009

11.663937

10.921305

10.456794

10.637963

10.75649

10.794134

10.654502

11.277084

10.721571

1608.05365

Rodolfo Jos\'e Bueno Rogerio

J. M. Hoff da Silva, C. H. Coronado Villalobos, R. J. Bueno Rogerio and E. Scatena

On the bilinear covariants associated to mass dimension one spinors

9 pages, 0 figures

Eur. Phys. J. C 76 (2016) 563

10.1140/epjc/s10052-016-4408-y

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we approach the issue of Clifford algebra basis deformation, allowing for bilinear covariants associated to Elko spinors which satisfy the Fierz-Pauli-Kofink identities. We present a complete analysis of covariance, taking into account the involved dual structure associated to Elko. Moreover, the possible generalizations to the recently presented new dual structure are performed.

[ { "created": "Thu, 18 Aug 2016 18:28:30 GMT", "version": "v1" }, { "created": "Tue, 20 Sep 2016 18:50:35 GMT", "version": "v2" } ]

2016-11-11

[ [ "da Silva", "J. M. Hoff", "" ], [ "Villalobos", "C. H. Coronado", "" ], [ "Rogerio", "R. J. Bueno", "" ], [ "Scatena", "E.", "" ] ]

In this paper we approach the issue of Clifford algebra basis deformation, allowing for bilinear covariants associated to Elko spinors which satisfy the Fierz-Pauli-Kofink identities. We present a complete analysis of covariance, taking into account the involved dual structure associated to Elko. Moreover, the possible generalizations to the recently presented new dual structure are performed.

21.422432

18.122204

22.609875

20.228601

21.398251

20.804937

24.264599

19.347099

21.084591

25.523436

19.090145

18.841038

19.769804

19.987944

19.841291

19.19648

20.376736

19.183239

19.212149

20.214663

19.296915

hep-th/0209206

Matthias Klein

Loop-Effects in Pseudo-Supersymmetry

Latex, 30 pages, 6 figures, v2: minor corrections, comments on susy algebra and x^5 covariant derivative added

Phys.Rev. D67 (2003) 045021

10.1103/PhysRevD.67.045021

null

hep-th hep-ph

null

We analyze the transmission of supersymmetry breaking in brane-world models of pseudo-supersymmetry. In these models two branes preserve different halves of the bulk supersymmetry. Thus supersymmetry is broken although each sector of the model is supersymmetric when considered separately. The world-volume theory on one brane feels the breakdown of supersymmetry only through two-loop interactions involving a coupling to fields from the other brane. In a 5D toy model with bulk vectors, we compute the diagrams that contribute to scalar masses on one brane and find that the masses are proportional to the compactification scale up to logarithmic corrections, m^2 ~ (2 pi R)^{-2}(ln(2 pi R ms)-1.1), where ms is an ultraviolet cutoff. Thus, for large compactification radii, where this result is valid, the brane scalars acquire a positive mass squared. We also compute the three-loop diagrams relevant to the Casimir energy between the two branes and find E ~ (2 pi R)^{-4}((ln(2 pi R ms)-1.7)^2+0.2). For large radii, this yields a repulsive Casimir force.

[ { "created": "Wed, 25 Sep 2002 19:58:18 GMT", "version": "v1" }, { "created": "Tue, 26 Nov 2002 20:54:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Klein", "Matthias", "" ] ]

We analyze the transmission of supersymmetry breaking in brane-world models of pseudo-supersymmetry. In these models two branes preserve different halves of the bulk supersymmetry. Thus supersymmetry is broken although each sector of the model is supersymmetric when considered separately. The world-volume theory on one brane feels the breakdown of supersymmetry only through two-loop interactions involving a coupling to fields from the other brane. In a 5D toy model with bulk vectors, we compute the diagrams that contribute to scalar masses on one brane and find that the masses are proportional to the compactification scale up to logarithmic corrections, m^2 ~ (2 pi R)^{-2}(ln(2 pi R ms)-1.1), where ms is an ultraviolet cutoff. Thus, for large compactification radii, where this result is valid, the brane scalars acquire a positive mass squared. We also compute the three-loop diagrams relevant to the Casimir energy between the two branes and find E ~ (2 pi R)^{-4}((ln(2 pi R ms)-1.7)^2+0.2). For large radii, this yields a repulsive Casimir force.

7.196287

7.235518

7.445356

7.245615

7.733793

7.155718

7.741547

7.473308

6.853045

7.977632

7.442062

7.076864

7.497571

7.059827

7.065185

7.167831

7.219202

7.004142

6.908175

7.566256

7.074041

1704.04071

Hari Kunduri

Gary T. Horowitz, Hari K. Kunduri, James Lucietti

Comments on Black Holes in Bubbling Spacetimes

17 pages, 5 figures; v2: references added

J. High Energ. Phys. (2017) 2017: 1

10.1007/JHEP06(2017)048

EMPG-17-04

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In five-dimensional minimal supergravity, there are spherical black holes with nontrivial topology outside the horizon which have the same conserved charges at infinity as the BMPV solution. We show that some of these black holes have greater entropy than the BMPV solution. These spacetimes are all asymptotically flat, stationary, and supersymmetric. We also show that there is a limit in which the black hole shrinks to zero size and the solution becomes a nonsingular "bubbling" geometry. Thus, these solutions provide explicit analytic examples of placing black holes inside solitons.

[ { "created": "Thu, 13 Apr 2017 11:07:58 GMT", "version": "v1" }, { "created": "Tue, 25 Apr 2017 21:17:35 GMT", "version": "v2" } ]

2017-06-13

[ [ "Horowitz", "Gary T.", "" ], [ "Kunduri", "Hari K.", "" ], [ "Lucietti", "James", "" ] ]

In five-dimensional minimal supergravity, there are spherical black holes with nontrivial topology outside the horizon which have the same conserved charges at infinity as the BMPV solution. We show that some of these black holes have greater entropy than the BMPV solution. These spacetimes are all asymptotically flat, stationary, and supersymmetric. We also show that there is a limit in which the black hole shrinks to zero size and the solution becomes a nonsingular "bubbling" geometry. Thus, these solutions provide explicit analytic examples of placing black holes inside solitons.

7.917274

7.052791

8.120433

6.494961

6.628598

6.649348

6.835457

6.806923

6.928927

9.1677

6.642951

6.928544

7.830041

7.237233

6.934916

6.889544

7.323578

7.197829

7.44408

8.14733

7.283125

2006.04217

Breno Giacchini

Breno L. Giacchini, Tib\'erio de Paula Netto, Ilya L. Shapiro

Vilkovisky unique effective action in quantum gravity

Minor refinements in formulations. Small misprints corrected. Fits published version

Phys. Rev. D 102, 106006 (2020)

10.1103/PhysRevD.102.106006

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The divergent part of the one-loop Vilkovisky unique effective action for quantum Einstein gravity is evaluated in the general parametrization of the quantum field, including the separated conformal factor. The output of this calculation explicitly demonstrates the parametrization and conformal gauge independence of the unique effective action with the configuration space metric chosen following Vilkovisky's prescription.

[ { "created": "Sun, 7 Jun 2020 18:10:13 GMT", "version": "v1" }, { "created": "Mon, 15 Jun 2020 08:58:22 GMT", "version": "v2" }, { "created": "Fri, 11 Sep 2020 07:56:52 GMT", "version": "v3" }, { "created": "Tue, 10 Nov 2020 16:16:48 GMT", "version": "v4" } ]

2020-11-11

[ [ "Giacchini", "Breno L.", "" ], [ "Netto", "Tibério de Paula", "" ], [ "Shapiro", "Ilya L.", "" ] ]

The divergent part of the one-loop Vilkovisky unique effective action for quantum Einstein gravity is evaluated in the general parametrization of the quantum field, including the separated conformal factor. The output of this calculation explicitly demonstrates the parametrization and conformal gauge independence of the unique effective action with the configuration space metric chosen following Vilkovisky's prescription.

16.0028

14.183876

14.35156

13.297597

14.280198

15.894074

14.011081

14.50677

12.84618

17.35803

13.362519

13.342349

14.056796

13.375479

13.697923

13.156109

13.220986

13.380006

13.589109

14.275874

12.892181

hep-th/0212176

Katsusada Morita

Hiromi Kase, Katsusada Morita, Yoshitaka Okumura and Eizou Umezawa

Lorentz-Invariant Non-Commutative Space-Time Based On DFR Algebra

LaTeX file, 27 pages

Prog.Theor.Phys. 109 (2003) 663-685

10.1143/PTP.109.663

null

hep-th

null

It is argued that the familiar algebra of the non-commutative space-time with $c$-number $\theta^{\mu\nu}$ is inconsistent from a theoretical point of view. Consistent algebras are obtained by promoting $\theta^{\mu\nu}$ to an anti-symmetric tensor operator ${\hat\theta}^{\mu\nu}$. The simplest among them is Doplicher-Fredenhagen-Roberts (DFR) algebra in which the triple commutator among the coordinate operators is assumed to vanish. This allows us to define the Lorentz-covariant operator fields on the DFR algebra as operators diagonal in the 6-dimensional $\theta$-space of the hermitian operators, ${\hat\theta}^{\mu\nu}$. It is shown that we then recover Carlson-Carone-Zobin (CCZ) formulation of the Lorentz-invariant non-commutative gauge theory with no need of compactification of the extra 6 dimensions. It is also pointed out that a general argument concerning the normalizability of the weight function in the Lorentz metric leads to a division of the $\theta$-space into two disjoint spaces not connected by any Lorentz transformation so that the CCZ covariant moment formula holds true in each space, separately. A non-commutative generalization of Connes' two-sheeted Minkowski space-time is also proposed. Two simple models of quantum field theory are reformulated on $M_4\times Z_2$ obtained in the commutative limit.

[ { "created": "Mon, 16 Dec 2002 06:09:01 GMT", "version": "v1" } ]

2009-11-07

[ [ "Kase", "Hiromi", "" ], [ "Morita", "Katsusada", "" ], [ "Okumura", "Yoshitaka", "" ], [ "Umezawa", "Eizou", "" ] ]

It is argued that the familiar algebra of the non-commutative space-time with $c$-number $\theta^{\mu\nu}$ is inconsistent from a theoretical point of view. Consistent algebras are obtained by promoting $\theta^{\mu\nu}$ to an anti-symmetric tensor operator ${\hat\theta}^{\mu\nu}$. The simplest among them is Doplicher-Fredenhagen-Roberts (DFR) algebra in which the triple commutator among the coordinate operators is assumed to vanish. This allows us to define the Lorentz-covariant operator fields on the DFR algebra as operators diagonal in the 6-dimensional $\theta$-space of the hermitian operators, ${\hat\theta}^{\mu\nu}$. It is shown that we then recover Carlson-Carone-Zobin (CCZ) formulation of the Lorentz-invariant non-commutative gauge theory with no need of compactification of the extra 6 dimensions. It is also pointed out that a general argument concerning the normalizability of the weight function in the Lorentz metric leads to a division of the $\theta$-space into two disjoint spaces not connected by any Lorentz transformation so that the CCZ covariant moment formula holds true in each space, separately. A non-commutative generalization of Connes' two-sheeted Minkowski space-time is also proposed. Two simple models of quantum field theory are reformulated on $M_4\times Z_2$ obtained in the commutative limit.

7.835172

7.596534

8.290574

7.43709

7.818769

7.977892

7.724023

7.8764

7.33423

9.058462

7.437942

7.607831

7.64667

7.419603

7.428852

7.321774

7.721641

7.367357

7.420055

7.594059

7.284439

1510.04492

Pedro Gomes

Pedro R. S. Gomes

Aspects of Emergent Symmetries

34 pages, 4 figures; Review paper; Title slightly modified; Minor improvements and typo corrections along the manuscript; References included; Accepted version

Int. J. Mod. Phys. A, 31, 1630009, (2016)

10.1142/S0217751X1630009X

null

hep-th cond-mat.stat-mech cond-mat.str-el

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

These are intended to be review notes on emergent symmetries, i.e., symmetries which manifest themselves in specific sectors of energy in many systems. The emphasis is on the physical aspects rather than computation methods. We include some background material and go through more recent problems in field theory, statistical mechanics and condensed matter. These problems illustrate how some important symmetries, such as Lorentz invariance and supersymmetry, usually believed to be fundamental, can arise naturally in low-energy regimes of systems involving a large number of degrees of freedom. The aim is to discuss how these examples could help us to face other complex and fundamental problems.

[ { "created": "Thu, 15 Oct 2015 12:14:26 GMT", "version": "v1" }, { "created": "Tue, 8 Mar 2016 16:41:54 GMT", "version": "v2" } ]

2016-03-17

[ [ "Gomes", "Pedro R. S.", "" ] ]

These are intended to be review notes on emergent symmetries, i.e., symmetries which manifest themselves in specific sectors of energy in many systems. The emphasis is on the physical aspects rather than computation methods. We include some background material and go through more recent problems in field theory, statistical mechanics and condensed matter. These problems illustrate how some important symmetries, such as Lorentz invariance and supersymmetry, usually believed to be fundamental, can arise naturally in low-energy regimes of systems involving a large number of degrees of freedom. The aim is to discuss how these examples could help us to face other complex and fundamental problems.

13.374191

11.288476

11.546686

11.585704

12.092884

12.604136

12.252727

11.017973

11.146079

12.929761

12.018426

11.283886

11.499751

11.428267

10.802994

11.543738

11.027139

11.288612

11.718919

11.670265

11.773894

1209.1098

Jorge Eduardo Santos

Gary T. Horowitz, Jorge E. Santos and David Tong

Further Evidence for Lattice-Induced Scaling

19 pages, 12 figures

null

10.1007/JHEP11(2012)102

null

hep-th cond-mat.str-el

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We continue our study of holographic transport in the presence of a background lattice. We recently found evidence that the presence of a lattice induces a new intermediate scaling regime in asymptotically $AdS_4$ spacetimes. This manifests itself in the optical conductivity which exhibits a robust power-law dependence on frequency, $\sigma \sim \omega^{-2/3}$, in a "mid-infrared" regime, a result which is in striking agreement with experiments on the cuprates. Here we provide further evidence for the existence of this intermediate scaling regime. We demonstrate similar scaling in the thermoelectric conductivity, find analogous scalings in asymptotically $AdS_5$ spacetimes, and show that we get the same results with an ionic lattice.

[ { "created": "Wed, 5 Sep 2012 20:00:03 GMT", "version": "v1" } ]

2015-06-11

[ [ "Horowitz", "Gary T.", "" ], [ "Santos", "Jorge E.", "" ], [ "Tong", "David", "" ] ]

We continue our study of holographic transport in the presence of a background lattice. We recently found evidence that the presence of a lattice induces a new intermediate scaling regime in asymptotically $AdS_4$ spacetimes. This manifests itself in the optical conductivity which exhibits a robust power-law dependence on frequency, $\sigma \sim \omega^{-2/3}$, in a "mid-infrared" regime, a result which is in striking agreement with experiments on the cuprates. Here we provide further evidence for the existence of this intermediate scaling regime. We demonstrate similar scaling in the thermoelectric conductivity, find analogous scalings in asymptotically $AdS_5$ spacetimes, and show that we get the same results with an ionic lattice.

6.991189

6.340292

7.508324

6.325137

6.627131

6.35443

6.471476

5.961462

6.427852

7.283433

6.147762

6.442058

7.088315

6.490869

6.418839

6.27517

6.585145

6.23876

6.326352

7.098139

6.264447

hep-th/0101010

Ken Intriligator

Ken Intriligator, Matt Kleban, Jason Kumar

Comments on Unstable Branes

16 pages

JHEP 0102 (2001) 023

10.1088/1126-6708/2001/02/023

UCSD-PTH-00-35, SU-ITP-0038

hep-th

null

We argue that type II string theories contain unstable NS4 branes, which descend from a conjectured unstable M4 brane of M-theory. Assuming that an M2 brane can arise in M5 brane/anti-brane annihilation, the unstable M4 brane, and also an unstable M3 brane, must exist as sphalerons. We compare the tensions of the unstable NS4 branes, M4 brane, and related type II unstable D-branes, and present 11d supergravity solutions for unstable Mp branes for all p. We study the Z_2 gauge symmetry on the worldvolume of unstable branes, and argue that it can never be unbroken in the presence of lower brane charge.

[ { "created": "Sat, 30 Dec 2000 22:52:24 GMT", "version": "v1" } ]

2009-11-07

[ [ "Intriligator", "Ken", "" ], [ "Kleban", "Matt", "" ], [ "Kumar", "Jason", "" ] ]

We argue that type II string theories contain unstable NS4 branes, which descend from a conjectured unstable M4 brane of M-theory. Assuming that an M2 brane can arise in M5 brane/anti-brane annihilation, the unstable M4 brane, and also an unstable M3 brane, must exist as sphalerons. We compare the tensions of the unstable NS4 branes, M4 brane, and related type II unstable D-branes, and present 11d supergravity solutions for unstable Mp branes for all p. We study the Z_2 gauge symmetry on the worldvolume of unstable branes, and argue that it can never be unbroken in the presence of lower brane charge.

11.009524

10.522666

12.131566

9.745778

9.721533

10.096803

9.669286

10.221993

9.693608

12.740801

9.306931

9.700278

10.423162

9.564265

10.004615

9.916181

9.835128

9.094686

9.377942

10.791946

9.39832

0802.1460

Koenraad Schalm

A. Nata Atmaja, K. Schalm

Photon and Dilepton Production in Soft Wall AdS/QCD

22 pages, 3 figs; v2: references added, clarifications made and minor corrections

JHEP 1008:124,2010

10.1007/JHEP08(2010)124

ITFA-2008-02

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider the Soft-Wall-model of AdS/QCD to calculate photon production in strongly coupled Quark Gluon Plasma (sQGP). The IR cut-off only affects the low-frequency-component of the production rate. The full spectral function is determined numerically and shows remarkable similarity to computations of the photon production rate in AdS-duals of $\mathcal{N}=2$ theories with massive flavor. It is further support that Soft-Wall AdS-QCD correctly captures the IR physics of the chiral perturbation theory regime of QCD. We confirm this by relating the IR-effects of the massive flavor deformations to the AdS/QCD soft wall cut-off. The AdS/QCD spectral function is smooth, however, and unlike massive flavor models shows no spectral peaks.

[ { "created": "Mon, 11 Feb 2008 15:44:44 GMT", "version": "v1" }, { "created": "Thu, 5 Aug 2010 14:46:02 GMT", "version": "v2" } ]

2017-09-07

[ [ "Atmaja", "A. Nata", "" ], [ "Schalm", "K.", "" ] ]

We consider the Soft-Wall-model of AdS/QCD to calculate photon production in strongly coupled Quark Gluon Plasma (sQGP). The IR cut-off only affects the low-frequency-component of the production rate. The full spectral function is determined numerically and shows remarkable similarity to computations of the photon production rate in AdS-duals of $\mathcal{N}=2$ theories with massive flavor. It is further support that Soft-Wall AdS-QCD correctly captures the IR physics of the chiral perturbation theory regime of QCD. We confirm this by relating the IR-effects of the massive flavor deformations to the AdS/QCD soft wall cut-off. The AdS/QCD spectral function is smooth, however, and unlike massive flavor models shows no spectral peaks.

13.164891

14.430142

14.484778

13.178631

15.37125

14.456174

14.711236

13.715299

13.67622

14.960513

14.064004

12.992058

12.75132

12.069057

13.184925

13.082319

12.650363

13.285783

12.271101

12.754135

12.757918

2309.06586

Laura Batini

Laura Batini, Eduardo Grossi and Nicolas Wink

Dissipation dynamics of a scalar field

17 pages, 6 figures. Code available on Github: https://github.com/laurabatini/flow-equations-code. v2: added a citation, v3: corrected typos, published version from PRD

Phys. Rev. D 108, 125021 (2023)

10.1103/PhysRevD.108.125021

null

hep-th cond-mat.str-el hep-ph nucl-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate the dissipation rate of a scalar field in the vicinity of the phase transition and the ordered phase, specifically within the universality class of model A. This dissipation rate holds significant physical relevance, particularly in the context of interpreting effective potentials as inputs for dynamical transport simulations, such as hydrodynamics. To comprehensively understand the use of effective potentials and other calculation inputs, such as the functional renormalization group, we conduct a detailed analysis of field dependencies. We solve the functional renormalization group equations on the Schwinger-Keldysh contour to determine the effective potential and dissipation rate for both finite and infinite volumes. Furthermore, we conduct a finite-size scaling analysis to calculate the dynamic critical exponent z. Our extracted value closely matches existing values from the literature.

[ { "created": "Tue, 12 Sep 2023 20:21:32 GMT", "version": "v1" }, { "created": "Fri, 29 Sep 2023 08:12:42 GMT", "version": "v2" }, { "created": "Tue, 2 Jan 2024 09:51:55 GMT", "version": "v3" } ]

2024-01-03

[ [ "Batini", "Laura", "" ], [ "Grossi", "Eduardo", "" ], [ "Wink", "Nicolas", "" ] ]

We investigate the dissipation rate of a scalar field in the vicinity of the phase transition and the ordered phase, specifically within the universality class of model A. This dissipation rate holds significant physical relevance, particularly in the context of interpreting effective potentials as inputs for dynamical transport simulations, such as hydrodynamics. To comprehensively understand the use of effective potentials and other calculation inputs, such as the functional renormalization group, we conduct a detailed analysis of field dependencies. We solve the functional renormalization group equations on the Schwinger-Keldysh contour to determine the effective potential and dissipation rate for both finite and infinite volumes. Furthermore, we conduct a finite-size scaling analysis to calculate the dynamic critical exponent z. Our extracted value closely matches existing values from the literature.

12.615581

13.380072

12.381461

11.956623

12.20914

13.035216

13.695997

12.365584

12.114177

13.792708

12.514562

12.557933

12.084931

11.998055

12.017254

12.718625

12.992275

12.414973

12.117834

12.414927

12.345185

hep-th/0111217

Amir Masoud Ghezelbash

A.M. Ghezelbash, R.B. Mann

Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence

16 pages, LaTeX, typos corrected

JHEP 0201 (2002) 005

10.1088/1126-6708/2002/01/005

null

hep-th gr-qc

null

We investigate a recent proposal for defining a conserved mass in asymptotically de Sitter spacetimes that is based on a conjectured holographic duality between such spacetimes and Euclidean conformal field theory. We show that an algorithm for deriving such terms in asymptotically anti de Sitter spacetimes has an asymptotically de Sitter counterpart, and derive the explicit form for such terms up to 9 dimensions. We show that divergences of the on-shell action for de Sitter spacetime are removed in any dimension in inflationary coordinates, but in covering coordinates a linear divergence remains in odd dimensions that cannot be cancelled by local terms that are polynomial in boundary curvature invariants. We show that the class of Schwarzschild-de Sitter black holes up to 9 dimensions has finite action and conserved mass, and construct a definition of entropy outside the cosmological horizon by generalizing the Gibbs-Duhem relation in asymptotically dS spacetimes. The entropy is agreement with that obtained from CFT methods in $d=2$. In general our results provide further supporting evidence for a dS/CFT correspondence, although some important interpretive problems remain.

[ { "created": "Fri, 23 Nov 2001 16:44:48 GMT", "version": "v1" }, { "created": "Mon, 14 Jan 2002 22:01:51 GMT", "version": "v2" }, { "created": "Wed, 16 Apr 2003 18:30:24 GMT", "version": "v3" } ]

2007-05-23

[ [ "Ghezelbash", "A. M.", "" ], [ "Mann", "R. B.", "" ] ]

We investigate a recent proposal for defining a conserved mass in asymptotically de Sitter spacetimes that is based on a conjectured holographic duality between such spacetimes and Euclidean conformal field theory. We show that an algorithm for deriving such terms in asymptotically anti de Sitter spacetimes has an asymptotically de Sitter counterpart, and derive the explicit form for such terms up to 9 dimensions. We show that divergences of the on-shell action for de Sitter spacetime are removed in any dimension in inflationary coordinates, but in covering coordinates a linear divergence remains in odd dimensions that cannot be cancelled by local terms that are polynomial in boundary curvature invariants. We show that the class of Schwarzschild-de Sitter black holes up to 9 dimensions has finite action and conserved mass, and construct a definition of entropy outside the cosmological horizon by generalizing the Gibbs-Duhem relation in asymptotically dS spacetimes. The entropy is agreement with that obtained from CFT methods in $d=2$. In general our results provide further supporting evidence for a dS/CFT correspondence, although some important interpretive problems remain.

9.573406

8.956356

9.19523

8.734285

9.43337

9.203276

8.796713

8.924289

8.945532

10.501801

8.847555

9.064066

9.397038

8.984881

9.234956

9.424533

9.35568

9.316315

9.178604

9.404764

9.15627

hep-th/9707215

null

Itzhak Bars and Cemsinan Deliduman

Superstrings with new supersymmetry in (9,2) and (10,2) dimensions

LaTeX, revtex, 9 pages

Phys. Rev. D 56, 6579 (1997)

10.1103/PhysRevD.56.6579

CERN-TH/97-181, USC-97/HEP-B5

hep-th

null

We construct superstring theories that obey the new supersymmetry algebra {Q_a , Q_b}=\gamma_{ab}^{mn} P_{1m} P_{2n}, in a Green-Schwarz formalism, with kappa supersymmetry also of the new type. The superstring is in a system with a superparticle so that their total momenta are $P_{2n},P_{1m}$ respectively. The system is covariant and critical in (10,2) dimensions if the particle is massless and in (9,2) dimensions if the particle is massive. Both the superstring and superparticle have coordinates with two timelike dimensions but each behaves effectively as if they have a single timelike dimension. This is due to gauge symmetries and associated constraints. We show how to generalize the gauge principle to more intricate systems containing two parts, 1 and 2. Each part contains interacting constituents, such as p-branes, and each part behaves effectively as if they have one timelike coordinate, although the full system has two timelike coordinates. The examples of two superparticles, and of a superparticle and a superstring, discussed in more detail are a special cases of such a generalized interacting system.

[ { "created": "Fri, 25 Jul 1997 10:46:39 GMT", "version": "v1" }, { "created": "Sun, 27 Jul 1997 19:44:25 GMT", "version": "v2" } ]

2016-08-25

[ [ "Bars", "Itzhak", "" ], [ "Deliduman", "Cemsinan", "" ] ]

We construct superstring theories that obey the new supersymmetry algebra {Q_a , Q_b}=\gamma_{ab}^{mn} P_{1m} P_{2n}, in a Green-Schwarz formalism, with kappa supersymmetry also of the new type. The superstring is in a system with a superparticle so that their total momenta are $P_{2n},P_{1m}$ respectively. The system is covariant and critical in (10,2) dimensions if the particle is massless and in (9,2) dimensions if the particle is massive. Both the superstring and superparticle have coordinates with two timelike dimensions but each behaves effectively as if they have a single timelike dimension. This is due to gauge symmetries and associated constraints. We show how to generalize the gauge principle to more intricate systems containing two parts, 1 and 2. Each part contains interacting constituents, such as p-branes, and each part behaves effectively as if they have one timelike coordinate, although the full system has two timelike coordinates. The examples of two superparticles, and of a superparticle and a superstring, discussed in more detail are a special cases of such a generalized interacting system.

9.594467

10.536516

11.50152

9.842623

10.132475

10.887618

9.610491

9.340564

10.356893

11.995011

9.437644

9.753778

10.226742

9.926058

9.73621

9.554522

9.804198

9.475326

9.927928

9.986339

9.666105

1702.07086

Dmitry Galakhov

Why Is Landau-Ginzburg Link Cohomology Equivalent To Khovanov Homology?

61 page, 14 figures

JHEP05(2019)085

10.1007/JHEP05(2019)085

null

hep-th math-ph math.GT math.MP math.RT

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this note we make an attempt to compare a cohomological theory of Hilbert spaces of ground states in the ${\cal N}=(2,2)$ 2d Landau-Ginzburg theory in models describing link embeddings in ${\mathbb{R}}^3$ to Khovanov and Khovanov-Rozansky homologies. To confirm the equivalence we exploit the invariance of Hilbert spaces of ground states for interfaces with respect to homotopy. In this attempt to study solitons and instantons in the Landau-Giznburg theory we apply asymptotic analysis also known in the literature as exact WKB method, spectral networks method, or resurgence. In particular, we associate instantons in LG model to specific WKB line configurations we call null-webs.

[ { "created": "Thu, 23 Feb 2017 03:47:54 GMT", "version": "v1" } ]

2019-05-21

[ [ "Galakhov", "Dmitry", "" ] ]

In this note we make an attempt to compare a cohomological theory of Hilbert spaces of ground states in the ${\cal N}=(2,2)$ 2d Landau-Ginzburg theory in models describing link embeddings in ${\mathbb{R}}^3$ to Khovanov and Khovanov-Rozansky homologies. To confirm the equivalence we exploit the invariance of Hilbert spaces of ground states for interfaces with respect to homotopy. In this attempt to study solitons and instantons in the Landau-Giznburg theory we apply asymptotic analysis also known in the literature as exact WKB method, spectral networks method, or resurgence. In particular, we associate instantons in LG model to specific WKB line configurations we call null-webs.

13.65949

13.110969

16.203979

11.776185

13.555298

14.155342

13.596751

12.491498

12.60081

17.700066

13.226432

12.962219

14.056079

12.439933

12.851617

12.88025

12.881465

12.650561

12.267589

14.448974

12.572063

1103.0299

Yasuhiro Sekino

Yoshinobu Habara, Hikaru Kawai, Masao Ninomiya and Yasuhiro Sekino

CMB Fluctuations and String Compactification Scales

4 pages, 2 figures; v2: Corrected a mistake in eq. (11), which does not affect the subsequent context. Added a comment on inflaton fluctuations at the end of the paper. Final version to appear in Phys. Lett. B

null

10.1016/j.physletb.2011.12.018

KUNS-2322; OIQP-11-02; RIKEN-TH-197

hep-th astro-ph.CO gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We propose a mechanism for the generation of temperature fluctuations of cosmic microwave background. We consider a large number of fields, such as Kaluza-Klein modes and string excitations. Each field contributes to the gravitational potential by a small amount, but an observable level of temperature fluctuations is achieved by summing up the contribution of typically of order 10^{14} fields. Tensor fluctuations are hardly affected by these fields. Our mechanism is based on purely quantum effects, and is different from the "slow-roll" or "curvaton" scenario. Using the observed data, we find constraints on the parameters of this model, such as the size of the extra dimensions and the string scale. Our model predicts a particular pattern of non-gaussianity with a small magnitude.

[ { "created": "Tue, 1 Mar 2011 22:06:50 GMT", "version": "v1" }, { "created": "Mon, 12 Dec 2011 04:55:54 GMT", "version": "v2" } ]

2015-05-27

[ [ "Habara", "Yoshinobu", "" ], [ "Kawai", "Hikaru", "" ], [ "Ninomiya", "Masao", "" ], [ "Sekino", "Yasuhiro", "" ] ]

We propose a mechanism for the generation of temperature fluctuations of cosmic microwave background. We consider a large number of fields, such as Kaluza-Klein modes and string excitations. Each field contributes to the gravitational potential by a small amount, but an observable level of temperature fluctuations is achieved by summing up the contribution of typically of order 10^{14} fields. Tensor fluctuations are hardly affected by these fields. Our mechanism is based on purely quantum effects, and is different from the "slow-roll" or "curvaton" scenario. Using the observed data, we find constraints on the parameters of this model, such as the size of the extra dimensions and the string scale. Our model predicts a particular pattern of non-gaussianity with a small magnitude.

8.584483

8.565876

9.017368

7.867772

8.630604

8.302882

8.277289

7.943016

8.338058

9.251338

8.09737

8.075785

8.405951

8.040747

8.245196

8.043015

7.875817

7.952024

8.03287

8.112353

8.033096

2406.17634

Hyungrok Kim

Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim, Christian Saemann

Topological Classification of Symmetry Breaking and Vacuum Degeneracy

7 pages, 5 figures, 1 table

null

hep-th math-ph math.DG math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We argue that a general system of scalar fields and gauge fields manifesting vacuum degeneracy induces a principal groupoid bundle over spacetime and that the pattern of spontaneous symmetry breaking and the Higgs mechanism are encoded by the singular foliation canonically induced on the moduli space of scalar vacuum expectation values by the Lie groupoid structure. Recent mathematical results in the classification of singular foliations then provide a qualitative classification of the possible patterns of vacuum degeneracy.

[ { "created": "Tue, 25 Jun 2024 15:21:21 GMT", "version": "v1" } ]

2024-06-26

[ [ "Fischer", "Simon-Raphael", "" ], [ "Farahani", "Mehran Jalali", "" ], [ "Kim", "Hyungrok", "" ], [ "Saemann", "Christian", "" ] ]

We argue that a general system of scalar fields and gauge fields manifesting vacuum degeneracy induces a principal groupoid bundle over spacetime and that the pattern of spontaneous symmetry breaking and the Higgs mechanism are encoded by the singular foliation canonically induced on the moduli space of scalar vacuum expectation values by the Lie groupoid structure. Recent mathematical results in the classification of singular foliations then provide a qualitative classification of the possible patterns of vacuum degeneracy.

13.290228

11.21463

12.807333

11.951978

13.048214

12.664845

11.80792

12.342504

12.295191

13.669844

11.156859

11.570406

12.274129

11.535193

11.874482

11.828038

11.533942

11.453875

11.353581

12.12555

11.582906

1704.01616

Khurram Shabbir

Compactified Webs and Domain Wall Partition Functions

null

10.1140/epjc/s10052-017-4809-6

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we use the the topological vertex formalism to calculate a generalization of the "domain wall" partition function of M-strings. This generalization allows calculation of partition function of certain compactified webs using a simple gluing algorithm similar to M-strings case.

[ { "created": "Wed, 5 Apr 2017 19:13:55 GMT", "version": "v1" } ]

2017-04-26

[ [ "Shabbir", "Khurram", "" ] ]

In this paper we use the the topological vertex formalism to calculate a generalization of the "domain wall" partition function of M-strings. This generalization allows calculation of partition function of certain compactified webs using a simple gluing algorithm similar to M-strings case.

17.328407

14.648767

16.770735

15.124887

15.020557

14.069812

13.688338

15.684518

14.756353

17.282061

13.830343

13.949833

15.973826

14.414895

14.172135

13.668438

13.949242

14.835496

14.607401

15.748936

14.123641

1008.4314

Sergey Solodukhin N.

Sergey N. Solodukhin

Entanglement entropy of round spheres

11 pages, no figures, minor modification

Phys.Lett.B693:605-608,2010

10.1016/j.physletb.2010.09.018

null

hep-th cond-mat.stat-mech gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme black hole. The near-horizon geometry of the latter is $H_2\times S_{d-2}$. For a scalar field this proposal is checked by direct calculation. We comment on relation of this and earlier calculations to the ``brick wall'' model of 't Hooft. The case of generic 4d conformal field theory is discussed.

[ { "created": "Wed, 25 Aug 2010 16:49:59 GMT", "version": "v1" }, { "created": "Tue, 31 Aug 2010 09:47:57 GMT", "version": "v2" } ]

2010-10-28

[ [ "Solodukhin", "Sergey N.", "" ] ]

We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme black hole. The near-horizon geometry of the latter is $H_2\times S_{d-2}$. For a scalar field this proposal is checked by direct calculation. We comment on relation of this and earlier calculations to the ``brick wall'' model of 't Hooft. The case of generic 4d conformal field theory is discussed.

7.922909

7.158392

8.566889

7.293484

8.155616

7.75624

7.331896

7.410063

7.310697

8.258933

7.346119

7.281958

7.603633

7.40806

7.262008

7.560178

7.565477

7.169448

7.646404

7.674677

7.144307

hep-th/0402141

Wen-Yu Wen

A. Batrachenko and W. Y. Wen

Generalized Holonomy of Supergravities with 8 Real Supercharges

13 pages, 2 tables; 3 references added

Nucl.Phys.B690:331-340,2004

10.1016/j.nuclphysb.2004.05.022

MCTP-04-08

hep-th

null

We show that the generalized holonomy groups of ungauged supergravity theories with 8 real supercharges must be contained in SL(2-\nu,H)\ltimes{\nu H^{2-\nu}}\subseteq SL(2,H), where SL(2,H) is the generalized structure group. Here n=4\nu is the number of preserved supersymmetries, so the allowed values are limited to n=0,4,8. In particular, solutions of ungauged supergravities in four, five and six dimensions are examined and found to explicitly follow this pattern. We also argue that the G-structure has to be a subgroup of this generalized holonomy group, which may provide a possible classification for supergravity vacua with respect to the number of supercharges.

[ { "created": "Wed, 18 Feb 2004 19:18:07 GMT", "version": "v1" }, { "created": "Tue, 2 Mar 2004 15:29:38 GMT", "version": "v2" } ]

2014-11-18

[ [ "Batrachenko", "A.", "" ], [ "Wen", "W. Y.", "" ] ]

We show that the generalized holonomy groups of ungauged supergravity theories with 8 real supercharges must be contained in SL(2-\nu,H)\ltimes{\nu H^{2-\nu}}\subseteq SL(2,H), where SL(2,H) is the generalized structure group. Here n=4\nu is the number of preserved supersymmetries, so the allowed values are limited to n=0,4,8. In particular, solutions of ungauged supergravities in four, five and six dimensions are examined and found to explicitly follow this pattern. We also argue that the G-structure has to be a subgroup of this generalized holonomy group, which may provide a possible classification for supergravity vacua with respect to the number of supercharges.

9.82538

9.997673

11.42904

9.18337

9.676239

9.822757

10.68022

9.524899

8.786899

11.359672

9.304748

8.932006

9.749481

9.035536

9.403796

9.541759

9.614889

9.696568

9.040337

10.052588

8.816703

1804.09987

Sam Fearn

Young supertableaux and the large $\mathcal{N} = 4$ superconformal algebra

31 pages, 2 figures

null

10.1088/1402-4896/ab3b29

DCPT-18/17

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we consider unitary highest weight irreducible representations of the `Large' $\mathcal{N}=4$ superconformal algebra $A_\gamma$ in the Ramond sector as infinite-dimensional graded modules of its zero mode subalgebra, $\mathfrak{su}(2|2)$. We describe how representations of $\mathfrak{su}(2|2)$ may be classified using Young supertableaux, and use the decomposition of $A_\gamma$ as an $\mathfrak{su}(2|2)$ module to discuss the states which contribute to the supersymmetric index $I_1$, previously proposed in the literature by Gukov, Martinec, Moore and Strominger.

[ { "created": "Thu, 26 Apr 2018 10:59:08 GMT", "version": "v1" }, { "created": "Fri, 15 Jun 2018 18:10:02 GMT", "version": "v2" }, { "created": "Wed, 14 Aug 2019 20:40:19 GMT", "version": "v3" } ]

2020-01-08

[ [ "Fearn", "Sam", "" ] ]

In this paper we consider unitary highest weight irreducible representations of the `Large' $\mathcal{N}=4$ superconformal algebra $A_\gamma$ in the Ramond sector as infinite-dimensional graded modules of its zero mode subalgebra, $\mathfrak{su}(2|2)$. We describe how representations of $\mathfrak{su}(2|2)$ may be classified using Young supertableaux, and use the decomposition of $A_\gamma$ as an $\mathfrak{su}(2|2)$ module to discuss the states which contribute to the supersymmetric index $I_1$, previously proposed in the literature by Gukov, Martinec, Moore and Strominger.

5.962332

6.075444

7.783642

5.445261

6.648784

6.418177

5.727941

5.918008

5.819561

6.777987

5.572512

5.571634

6.097341

5.621935

5.815335

5.718158

5.548242

5.760141

5.603676

5.804423

5.349701

2106.01591

Hayato Kanno

Hayato Kanno and Shigeki Sugimoto

Anomaly and Superconnection

50 pages, v2: minor improvements, an appendix and references are added

Progress of Theoretical and Experimental Physics, Volume 2022, Issue 1, January 2022, 013B02

10.1093/ptep/ptab131

YITP-21-41

hep-th cond-mat.str-el math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study anomalies of fermions with spacetime dependent mass. Using Fujikawa's method, it is found that the anomalies associated with the $U(N)_+\times U(N)_-$ chiral symmetry and $U(N)$ flavor symmetry for even and odd dimensions, respectively, can be written in terms of superconnections. In particular, the anomaly for a vector-like $U(1)$ symmetry is given by the Chern character of the superconnection in both even and odd dimensional cases. It is also argued that the non-Abelian anomaly for a system in D-dimensional spacetime is characterized by a (D+2)-form part of the Chern character of the superconnection which generalizes the usual anomaly polynomial for the massless case. These results enable us to analyze anomalies in the systems with interfaces and spacetime boundaries in a unified way. Applications to index theorems, including Atiyah-Patodi-Singer index theorem and Callias-type index theorem, are also discussed. In addition, we give a natural string theory interpretation of these results.

[ { "created": "Thu, 3 Jun 2021 04:25:04 GMT", "version": "v1" }, { "created": "Fri, 27 Aug 2021 02:22:21 GMT", "version": "v2" } ]

2022-03-10

[ [ "Kanno", "Hayato", "" ], [ "Sugimoto", "Shigeki", "" ] ]

We study anomalies of fermions with spacetime dependent mass. Using Fujikawa's method, it is found that the anomalies associated with the $U(N)_+\times U(N)_-$ chiral symmetry and $U(N)$ flavor symmetry for even and odd dimensions, respectively, can be written in terms of superconnections. In particular, the anomaly for a vector-like $U(1)$ symmetry is given by the Chern character of the superconnection in both even and odd dimensional cases. It is also argued that the non-Abelian anomaly for a system in D-dimensional spacetime is characterized by a (D+2)-form part of the Chern character of the superconnection which generalizes the usual anomaly polynomial for the massless case. These results enable us to analyze anomalies in the systems with interfaces and spacetime boundaries in a unified way. Applications to index theorems, including Atiyah-Patodi-Singer index theorem and Callias-type index theorem, are also discussed. In addition, we give a natural string theory interpretation of these results.

6.983626

6.858243

8.319154

6.372195

6.76336

6.775375

6.856875

6.772579

6.72727

8.154852

6.279325

6.593534

7.397549

6.683053

6.41651

6.41895

6.519986

6.586469

6.720601

7.171989

6.463235

2302.03526

Jan Govaerts

Jan Govaerts (CP3, Univ. cath. Louvain, UCLouvain, Louvain-la-Neuve, Belgium)

Magnetic Monopoles with No Strings Attached: A Portal to the Dark Side of Dual Electrodynamics

1+25 pages, to be published in the European Physical Journal C

Eur. Phys. J C (2023) 83: 158 (17 pages)

10.1140/epjc/s10052-023-11302-7

Preprint IRMP-CP3-23-07

hep-th

http://creativecommons.org/licenses/by/4.0/

It has long been known that in the absence of electric charges and currents, Maxwell's electromagnetism in 4 dimensional vacuum Minkowski space-time is invariant under SO(2) dual transformations that mix its electric and magnetic fields. Extending this symmetry to include the coupling to electrically charged matter, requires a dual coupling to magnetically charged matter as well, leading to Maxwell equations for SO(2) dual electrodynamics. Based on a doubled ensemble of SO(2) dual 4-vector gauge potentials which does away with the need of Dirac string singularities for magnetic monopoles, a local Lagrangian action principle for SO(2) dual electromagnetism is known, which manifestly displays all the required space-time and internal symmetries, and reduces to the experimentally well established Maxwell electrodynamics in the absence of magnetic charges and currents. Applying the same considerations for the matter action of electrically and magnetically charged point particles, a unique SO(2) dual generalised Lorentz force is identified for SO(2) dual electrodynamics, truly different from the usual SO(2) dual invariant choice motivated by simplicity, but yet made arbitrarily and which does not derive from some action principle. This generalised Lorentz force involves a single real and new coupling constant of unknown value, without the requirement of a Dirac-Schwinger-Zwanziger quantisation condition for electric and magnetic charges of dyons. A physical consequence for SO(2) dual electrodynamics of this coupling constant if nonvanishing, is to open a channel, or portal between the otherwise mutually totally ``dark'' sectors of electric and magnetic charges for electromagnetic interactions.

[ { "created": "Tue, 7 Feb 2023 15:17:02 GMT", "version": "v1" } ]

2023-02-21

[ [ "Govaerts", "Jan", "", "CP3, Univ. cath. Louvain, UCLouvain, Louvain-la-Neuve,\n Belgium" ] ]

It has long been known that in the absence of electric charges and currents, Maxwell's electromagnetism in 4 dimensional vacuum Minkowski space-time is invariant under SO(2) dual transformations that mix its electric and magnetic fields. Extending this symmetry to include the coupling to electrically charged matter, requires a dual coupling to magnetically charged matter as well, leading to Maxwell equations for SO(2) dual electrodynamics. Based on a doubled ensemble of SO(2) dual 4-vector gauge potentials which does away with the need of Dirac string singularities for magnetic monopoles, a local Lagrangian action principle for SO(2) dual electromagnetism is known, which manifestly displays all the required space-time and internal symmetries, and reduces to the experimentally well established Maxwell electrodynamics in the absence of magnetic charges and currents. Applying the same considerations for the matter action of electrically and magnetically charged point particles, a unique SO(2) dual generalised Lorentz force is identified for SO(2) dual electrodynamics, truly different from the usual SO(2) dual invariant choice motivated by simplicity, but yet made arbitrarily and which does not derive from some action principle. This generalised Lorentz force involves a single real and new coupling constant of unknown value, without the requirement of a Dirac-Schwinger-Zwanziger quantisation condition for electric and magnetic charges of dyons. A physical consequence for SO(2) dual electrodynamics of this coupling constant if nonvanishing, is to open a channel, or portal between the otherwise mutually totally ``dark'' sectors of electric and magnetic charges for electromagnetic interactions.

10.318424

10.522215

10.813227

9.859399

10.941216

11.839733

10.443397

10.520536

10.157201

11.914879

10.192189

9.953557

9.995502

9.649773

10.01369

9.855844

9.857842

9.958319

10.143966

10.574545

9.926387

hep-th/9808029

null

M. Araki and Y. Tanii

Duality Symmetries in Non-Linear Gauge Theories

15 pages, LaTeX, added references

Int.J.Mod.Phys. A14 (1999) 1139-1152

10.1142/S0217751X99000579

STUPP-98-154

hep-th

null

Duality symmetries are discussed for non-linear gauge theories of (n-1)-th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be compact. We find conditions on the Lagrangian required by compact duality symmetries and show an example of duality invariant non-linear theories. We also discuss how to enlarge the duality symmetries to non-compact groups by coupling scalar fields described by non-linear sigma models.

[ { "created": "Thu, 6 Aug 1998 03:39:12 GMT", "version": "v1" }, { "created": "Tue, 18 Aug 1998 05:45:41 GMT", "version": "v2" } ]

2009-10-31

[ [ "Araki", "M.", "" ], [ "Tanii", "Y.", "" ] ]

Duality symmetries are discussed for non-linear gauge theories of (n-1)-th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be compact. We find conditions on the Lagrangian required by compact duality symmetries and show an example of duality invariant non-linear theories. We also discuss how to enlarge the duality symmetries to non-compact groups by coupling scalar fields described by non-linear sigma models.

9.897072

8.42209

9.224167

8.700773

9.19141

8.447573

8.97499

8.813604

8.859758

10.360703

8.946517

8.134078

8.608873

8.386139

8.547423

8.323782

8.460902

8.11212

8.500304

8.65495

8.539227

hep-th/9406154

null

J. Froehlich, R. Goetschmann and P.A. Marchetti

Bosonization of Fermi Systems in Arbitrary Dimension in Terms of Gauge Forms

51 pages, DFPD 94/TH/36, TeX file

J.Phys.A28:1169-1204,1995

10.1088/0305-4470/28/5/008

null

hep-th

null

We present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current density in terms of a bosonic antisymmetric tensorfield of a rank d--1, where d is the dimension of space. This enables us to make concepts and tools from gauge theory available for the purpose of analyzing electronic structure of non-relativistic matter. We apply our bosonization identities and concepts from gauge theory, such as Wegner -'t Hooft duality, to a variety of systems of condensed matter physics: Landau-Fermi liquids, Hall fluids, London superconductors, etc.. Among our results are an exact formula for the plasmon gap in a metal, a simple derivation of the Anderson-Higgs mechanism in superconductors, and an analysis of the orthogonality catastrophe for static sources.

[ { "created": "Thu, 23 Jun 1994 10:22:52 GMT", "version": "v1" }, { "created": "Mon, 27 Jun 1994 16:24:29 GMT", "version": "v2" } ]

2011-07-19

[ [ "Froehlich", "J.", "" ], [ "Goetschmann", "R.", "" ], [ "Marchetti", "P. A.", "" ] ]

We present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current density in terms of a bosonic antisymmetric tensorfield of a rank d--1, where d is the dimension of space. This enables us to make concepts and tools from gauge theory available for the purpose of analyzing electronic structure of non-relativistic matter. We apply our bosonization identities and concepts from gauge theory, such as Wegner -'t Hooft duality, to a variety of systems of condensed matter physics: Landau-Fermi liquids, Hall fluids, London superconductors, etc.. Among our results are an exact formula for the plasmon gap in a metal, a simple derivation of the Anderson-Higgs mechanism in superconductors, and an analysis of the orthogonality catastrophe for static sources.

10.622903

12.453211

11.848903

10.213927

10.843917

11.826296

12.230901

11.755234

10.490472

12.663591

11.235486

10.597947

10.953953

10.589163

11.158517

10.572486

10.846461

10.791049

10.73853

10.847915

10.795872

0909.2173

Massimo Bianchi

Massimo Bianchi and Marine Samsonyan

Notes on unoriented D-brane instantons

31 pages. Based on lectures delivered by M. Bianchi at the Fourth Young Researchers Workshop of the European Superstring Theory Network in Kounnas Bay, Cyprus, September 2008

Int.J.Mod.Phys.A24:5737-5763,2009

10.1142/S0217751X09048022

ROM2F/2009/15, NITheP-09-27

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In the first lecture, we discuss basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons, which is our main focus here, and threshold corrections to BPS-saturated couplings. The second lecture is devoted to non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities. In the third lecture we discuss the interplay between worldsheet and D-string instantons on $T^4/Z_2$. We focus on a 4-fermi amplitude, give Heterotic and perturbative Type I descriptions, and offer a multi D-string instanton interpretation. We conclude with possible interesting developments.

[ { "created": "Fri, 11 Sep 2009 14:22:28 GMT", "version": "v1" } ]

2010-12-09

[ [ "Bianchi", "Massimo", "" ], [ "Samsonyan", "Marine", "" ] ]

In the first lecture, we discuss basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons, which is our main focus here, and threshold corrections to BPS-saturated couplings. The second lecture is devoted to non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities. In the third lecture we discuss the interplay between worldsheet and D-string instantons on $T^4/Z_2$. We focus on a 4-fermi amplitude, give Heterotic and perturbative Type I descriptions, and offer a multi D-string instanton interpretation. We conclude with possible interesting developments.

10.60484

8.526868

11.490414

9.05142

8.161096

8.360277

8.419016

7.781084

8.927688

12.489517

9.097301

9.921766

10.684117

9.802534

9.751897

9.823555

9.619881

9.779301

10.140685

10.974355

9.83923

1502.00106

Ilya Lvovich Shapiro

Ilya L. Shapiro

Counting ghosts in the "ghost-free" non-local gravity

18 pages, LaTeX. Section 5 discuss relation between renormalization and Newtonian limit and includes a note concerning recent comment on our previous preprint by Biswas et al in arXive:1412.3467. The new version includes many technical explanations added due to the advises of the anonymous referee. Wording is also shortened. Fits the version accepted in Physics Letters B

null

10.1016/j.physletb.2015.03.037

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In the recently proposed non-local theory of quantum gravity one can avoid massive tensor ghosts at the tree level by a special choice of the non-local form factor between the two Ricci tensors. We show that at the quantum level this theory has an infinite amount of massive unphysical states, mostly corresponding to complex poles.

[ { "created": "Sat, 31 Jan 2015 13:44:34 GMT", "version": "v1" }, { "created": "Tue, 17 Mar 2015 19:25:12 GMT", "version": "v2" } ]

2015-06-23

[ [ "Shapiro", "Ilya L.", "" ] ]

In the recently proposed non-local theory of quantum gravity one can avoid massive tensor ghosts at the tree level by a special choice of the non-local form factor between the two Ricci tensors. We show that at the quantum level this theory has an infinite amount of massive unphysical states, mostly corresponding to complex poles.

15.749051

12.306201

12.906074

10.821427

12.950107

13.079082

13.510552

12.682788

11.648982

15.300668

11.90296

12.201063

12.592844

12.078566

11.602826

12.252766

11.888556

11.494469

11.749088

13.765244

11.882687

2012.01646

Kazunari Shima

Nonlinear-supersymmetric General Relativity Theory I

arXiv admin note: text overlap with arXiv:0802.2785, arXiv:0810.4797

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The geometrical argument of the general relativity principle of Einstein is formulated in unstable Riemann space-time just inspired by the nonlinear representation of supersymmetry, which produces new Einstein-Hilbert type action.

[ { "created": "Thu, 3 Dec 2020 02:21:21 GMT", "version": "v1" } ]

2020-12-04

[ [ "Shima", "Kazunari", "" ] ]

The geometrical argument of the general relativity principle of Einstein is formulated in unstable Riemann space-time just inspired by the nonlinear representation of supersymmetry, which produces new Einstein-Hilbert type action.

45.303879

36.168457

42.737576

33.762196

34.653465

29.126219

31.947721

30.906998

31.969011

38.126568

33.780643

34.785084

36.531837

33.73119

35.555428

33.73159

34.803158

35.00808

35.121433

35.386559

34.638523

1704.00538

Parinya Karndumri

Parinya Karndumri and Khem Upathambhakul

Supersymmetric RG flows and Janus from type II orbifold compactification

32 pages, 5 figures, typos corrected and references added

Eur. Phys. J. C (2017) 77:455

10.1140/epjc/s10052-017-5022-3

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study holographic RG flow solutions within four-dimensional $N=4$ gauged supergravity obtained from type IIA and IIB string theories compactified on $T^6/\mathbb{Z}_2\times \mathbb{Z}_2$ orbifold with gauge, geometric and non-geometric fluxes. In type IIB non-geometric compactifications, the resulting gauged supergravity has $ISO(3)\times ISO(3)$ gauge group and admits an $N=4$ $AdS_4$ vacuum dual to an $N=4$ superconformal field theory (SCFT) in three dimensions. We study various supersymmetric RG flows from this $N=4$ SCFT to $N=4$ and $N=1$ non-conformal field theories in the IR. The flows preserving $N=4$ supersymmetry are driven by relevant operators of dimensions $\Delta =1,2$ or alternatively by one of these relevant operators, dual to the dilaton, and irrelevant operators of dimensions $\Delta=4$ while the $N=1$ flows in addition involve marginal deformations. Most of the flows can be obtained analytically. We also give examples of supersymmetric Janus solutions preserving $N=4$ and $N=1$ supersymmetries. These solutions should describe two-dimensional conformal defects within the dual $N=4$ SCFT. Geometric compactifications of type IIA theory give rise to $N=4$ gauged supergravity with $ISO(3)\ltimes U(1)^6$ gauge group. In this case, the resulting gauged supergravity admits an $N=1$ $AdS_4$ vacuum. We also numerically study possible $N=1$ RG flows to non-conformal field theories in this case.

[ { "created": "Mon, 3 Apr 2017 11:49:20 GMT", "version": "v1" }, { "created": "Thu, 27 Apr 2017 10:44:00 GMT", "version": "v2" }, { "created": "Wed, 5 Jul 2017 13:23:30 GMT", "version": "v3" } ]

2017-07-11

[ [ "Karndumri", "Parinya", "" ], [ "Upathambhakul", "Khem", "" ] ]

We study holographic RG flow solutions within four-dimensional $N=4$ gauged supergravity obtained from type IIA and IIB string theories compactified on $T^6/\mathbb{Z}_2\times \mathbb{Z}_2$ orbifold with gauge, geometric and non-geometric fluxes. In type IIB non-geometric compactifications, the resulting gauged supergravity has $ISO(3)\times ISO(3)$ gauge group and admits an $N=4$ $AdS_4$ vacuum dual to an $N=4$ superconformal field theory (SCFT) in three dimensions. We study various supersymmetric RG flows from this $N=4$ SCFT to $N=4$ and $N=1$ non-conformal field theories in the IR. The flows preserving $N=4$ supersymmetry are driven by relevant operators of dimensions $\Delta =1,2$ or alternatively by one of these relevant operators, dual to the dilaton, and irrelevant operators of dimensions $\Delta=4$ while the $N=1$ flows in addition involve marginal deformations. Most of the flows can be obtained analytically. We also give examples of supersymmetric Janus solutions preserving $N=4$ and $N=1$ supersymmetries. These solutions should describe two-dimensional conformal defects within the dual $N=4$ SCFT. Geometric compactifications of type IIA theory give rise to $N=4$ gauged supergravity with $ISO(3)\ltimes U(1)^6$ gauge group. In this case, the resulting gauged supergravity admits an $N=1$ $AdS_4$ vacuum. We also numerically study possible $N=1$ RG flows to non-conformal field theories in this case.

3.634104

3.741049

4.599109

3.619605

3.658962

3.523346

3.702898

3.683358

3.608952

4.662549

3.58143

3.555731

3.973754

3.686807

3.642693

3.659661

3.753709

3.600714

3.678732

3.996572

3.621428

hep-th/0303171

Kiyoung Lee

Kiyoung Lee, Warren Siegel (CNYITP, Stony Brook)

Bound-state gravity from higher derivatives

TeX file, 12 pages, 4 figures

Nucl.Phys.B665:179-188,2003

10.1016/S0550-3213(03)00488-7

YITP-SB-03-12

hep-th

null

In certain Lorentz-covariant higher-derivative field theories of spins < or =1, would-be ultraviolet divergences generate color-singlet poles as infrared divergences. Absence of higher-order poles implies ten-dimensional supersymmetric Yang-Mills with bound-state supergravity, in close analogy with open string theory.

[ { "created": "Wed, 19 Mar 2003 21:10:37 GMT", "version": "v1" } ]

2014-11-18

[ [ "Lee", "Kiyoung", "", "CNYITP, Stony Brook" ], [ "Siegel", "Warren", "", "CNYITP, Stony Brook" ] ]

In certain Lorentz-covariant higher-derivative field theories of spins < or =1, would-be ultraviolet divergences generate color-singlet poles as infrared divergences. Absence of higher-order poles implies ten-dimensional supersymmetric Yang-Mills with bound-state supergravity, in close analogy with open string theory.

25.63875

26.374907

25.105486

20.127453

26.453121

23.492592

26.367474

21.97686

23.927343

25.489035

21.446436

23.053434

23.4576

20.797989

23.314718

23.318209

22.179192

22.972134

22.132978

24.123472

21.506289

2208.03267

Stam Nicolis

Minos Axenides, Emmanuel Floratos and Stam Nicolis

Arnol'd cat map lattices

39 pages, 5 PNG figures, LaTeX2e. Uses utphys.bst for references. v2: Streamlined presentation and added references. v3: Published version

Phys. Rev. E 107, 064206 (2023)

10.1103/PhysRevE.107.064206

null

hep-th cond-mat.stat-mech nlin.CD

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We construct Arnol'd cat map lattice field theories in phase space and configuration space. In phase space we impose that the evolution operator of the linearly coupled maps be an element of the symplectic group, in direct generalization of the case of one map. To this end we exploit the correspondence between the cat map and the Fibonacci sequence. The chaotic properties of these systems can be, also, understood from the equations of motion in configuration space, where they describe inverted harmonic oscillators, with the runaway behavior of the potential competing with the toroidal compactification of the phase space. We highlight the spatio-temporal chaotic properties of these systems using standard benchmarks for probing deterministic chaos of dynamical systems, namely the complete dense set of unstable periodic orbits, which, for long periods, lead to ergodicity and mixing. The spectrum of the periods exhibits a strong dependence on the strength and the range of the interaction.

[ { "created": "Fri, 5 Aug 2022 16:39:07 GMT", "version": "v1" }, { "created": "Thu, 24 Nov 2022 09:51:49 GMT", "version": "v2" }, { "created": "Fri, 9 Jun 2023 11:58:22 GMT", "version": "v3" } ]

2023-06-12

[ [ "Axenides", "Minos", "" ], [ "Floratos", "Emmanuel", "" ], [ "Nicolis", "Stam", "" ] ]

We construct Arnol'd cat map lattice field theories in phase space and configuration space. In phase space we impose that the evolution operator of the linearly coupled maps be an element of the symplectic group, in direct generalization of the case of one map. To this end we exploit the correspondence between the cat map and the Fibonacci sequence. The chaotic properties of these systems can be, also, understood from the equations of motion in configuration space, where they describe inverted harmonic oscillators, with the runaway behavior of the potential competing with the toroidal compactification of the phase space. We highlight the spatio-temporal chaotic properties of these systems using standard benchmarks for probing deterministic chaos of dynamical systems, namely the complete dense set of unstable periodic orbits, which, for long periods, lead to ergodicity and mixing. The spectrum of the periods exhibits a strong dependence on the strength and the range of the interaction.

15.803429

16.628239

16.56032

16.095327

16.809364

18.502054

16.583754

15.498118

15.653922

19.194252

14.966179

14.932401

15.796754

15.541326

15.104332

15.128265

15.384171

15.274792

14.839242

15.743361

15.495577

2408.01490

Christian Copetti

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT

33 pages, 10 Figures, Comments are welcome!

null

hep-th cond-mat.str-el

http://creativecommons.org/licenses/by/4.0/

We offer a streamlined and computationally powerful characterization of higher representations (higher charges) for defect operators under generalized symmetries, employing the powerful framework of Symmetry TFT $\mathcal{Z}(\mathcal{C})$. For a defect $\mathscr{D}$ of codimension p, these representations (charges) are in one-to-one correspondence with gapped boundary conditions for the SymTFT $\mathcal{Z}(\mathcal{C})$ on a manifold $Y = \Sigma_{d-p+1} \times S^{p-1}$, and can be efficiently described through dimensional reduction. We explore numerous applications of our construction, including scenarios where an anomalous bulk theory can host a symmetric defect. This generalizes the connection between 't Hooft anomalies and the absence of symmetric boundary conditions to defects of any codimension. Finally we describe some properties of surface charges for (3 + 1)d duality symmetries, which should be relevant to the study of Gukov-Witten operators in gauge theories.

[ { "created": "Fri, 2 Aug 2024 18:00:01 GMT", "version": "v1" } ]

2024-08-06

[ [ "Copetti", "Christian", "" ] ]

We offer a streamlined and computationally powerful characterization of higher representations (higher charges) for defect operators under generalized symmetries, employing the powerful framework of Symmetry TFT $\mathcal{Z}(\mathcal{C})$. For a defect $\mathscr{D}$ of codimension p, these representations (charges) are in one-to-one correspondence with gapped boundary conditions for the SymTFT $\mathcal{Z}(\mathcal{C})$ on a manifold $Y = \Sigma_{d-p+1} \times S^{p-1}$, and can be efficiently described through dimensional reduction. We explore numerous applications of our construction, including scenarios where an anomalous bulk theory can host a symmetric defect. This generalizes the connection between 't Hooft anomalies and the absence of symmetric boundary conditions to defects of any codimension. Finally we describe some properties of surface charges for (3 + 1)d duality symmetries, which should be relevant to the study of Gukov-Witten operators in gauge theories.

10.699088

9.480498

11.604748

9.892594

9.591258

10.00337

9.850783

9.722329

9.26217

12.902748

9.265914

10.2854

10.404649

9.812381

10.423586

10.033062

9.860837

10.0091

10.277463

10.488579

9.773973

hep-th/9912174

Maximilian Kreuzer

Maximilian Kreuzer and Jian-Ge Zhou

$\Lambda$-symmetry and background independence of noncommutative gauge theory on $\mathbb R^n$

16 pages, LaTeX2e, minor revisions (version published in JHEP)

JHEP 0001 (2000) 011

10.1088/1126-6708/2000/01/011

TUW-99/27

hep-th

null

Background independence of noncommutative Yang-Mills theory on $\mathbb R^n$ is discussed. The quantity $\theta \hat F \theta - \theta$ is found to be background dependent at subleading order, and it becomes background independent only when the ordinary gauge field strength $F$ is constant. It is shown that, at small values of $B$, the noncommutative Dirac-Born-Infeld action possesses $\Lambda$-symmetry at least to subleading order in $\theta$ if $F$ damps fast enough at infinity.

[ { "created": "Mon, 20 Dec 1999 17:30:59 GMT", "version": "v1" }, { "created": "Tue, 25 Jan 2000 11:48:29 GMT", "version": "v2" } ]

2009-10-31

[ [ "Kreuzer", "Maximilian", "" ], [ "Zhou", "Jian-Ge", "" ] ]

Background independence of noncommutative Yang-Mills theory on $\mathbb R^n$ is discussed. The quantity $\theta \hat F \theta - \theta$ is found to be background dependent at subleading order, and it becomes background independent only when the ordinary gauge field strength $F$ is constant. It is shown that, at small values of $B$, the noncommutative Dirac-Born-Infeld action possesses $\Lambda$-symmetry at least to subleading order in $\theta$ if $F$ damps fast enough at infinity.

10.251082

9.849336

10.496994

8.7285

9.391361

10.296636

8.960083

9.618397

8.999807

10.240419

9.403901

9.129078

9.731304

9.089669

9.019576

9.211621

9.1053

9.484271

9.400924

9.976149

9.893326

hep-th/9405159

Bengt Nilsson

Niclas Engberg, Bengt E.W. Nilsson and Anders Westerberg

The Twisted String Vertex Algorithm Applied to the $Z_2$-Twisted Scalar String Four Vertex

18 pages (LaTeX), G\"oteborg ITP 94-9

Nucl.Phys. B435 (1995) 277-294

10.1016/0550-3213(94)00502-6

null

hep-th

null

Recently an algorithm was found by means of which one can calculate terms at arbitrary oscillator level in the four-Ramond vertex obtained by sewing. Here we show that this algorithm is applicable also to the case of ${\bf Z}_2$-twisted scalars and derive the full propagator for scalars on the Riemann sphere with two branch cuts. The relation to similar results previously derived in the literature by other means is discussed briefly.

[ { "created": "Wed, 25 May 1994 13:35:20 GMT", "version": "v1" } ]

2009-10-28

[ [ "Engberg", "Niclas", "" ], [ "Nilsson", "Bengt E. W.", "" ], [ "Westerberg", "Anders", "" ] ]

Recently an algorithm was found by means of which one can calculate terms at arbitrary oscillator level in the four-Ramond vertex obtained by sewing. Here we show that this algorithm is applicable also to the case of ${\bf Z}_2$-twisted scalars and derive the full propagator for scalars on the Riemann sphere with two branch cuts. The relation to similar results previously derived in the literature by other means is discussed briefly.

17.984837

16.240017

18.016329

13.687701

15.169176

14.327103

14.018923

14.627095

13.902324

16.98625

12.990017

13.822414

14.908603

13.762809

14.003507

13.700537

13.986817

13.222321

13.98831

14.892821

12.354671

hep-th/9403115

null

M. A. Lledo and A. Resturccia

Higher Order Action for the Interaction of the String with the Dilaton

18 pages, plain TeX, SB/FM/F-94-7

Nucl.Phys. B434 (1995) 231-244

10.1016/0550-3213(94)00498-4

null

hep-th

null

The theory of the string in interaction with a dilaton background field is analyzed. In the action considered, the metric in the world sheet of the string is the induced metric, and the theory presents second order time derivatives. The canonical formalism is developed and it is showed that first and second class constraints appear. The degrees of freedoom are the same than for the free bosonic string. The light cone gauge is used to reduce to the physical modes and to compute the physical hamiltonian.

[ { "created": "Sat, 19 Mar 1994 16:36:12 GMT", "version": "v1" } ]

2009-10-28

[ [ "Lledo", "M. A.", "" ], [ "Resturccia", "A.", "" ] ]

The theory of the string in interaction with a dilaton background field is analyzed. In the action considered, the metric in the world sheet of the string is the induced metric, and the theory presents second order time derivatives. The canonical formalism is developed and it is showed that first and second class constraints appear. The degrees of freedoom are the same than for the free bosonic string. The light cone gauge is used to reduce to the physical modes and to compute the physical hamiltonian.

10.702511

9.378794

11.353452

10.040032

10.076317

9.170715

9.88744

10.037596

9.98435

11.342286

9.912415

10.188357

10.68416

10.127791

10.093595

9.821507

10.184964

9.848002

10.040372

11.010977

10.534454

hep-th/9607132

Thomas Schmitt

Supergeometry and Quantum Field Theory, or: What is a Classical Configuration?

46 pages, LateX2E+AMSLaTeX

Rev.Math.Phys.9:993-1052,1997

10.1142/S0129055X97000348

Preprint No. 419/1995 der TU Berlin

hep-th dg-ga math.DG

null

We discuss of the conceptual difficulties connected with the anticommutativity of classical fermion fields, and we argue that the "space" of all classical configurations of a model with such fields should be described as an infinite-dimensional supermanifold M. We discuss the two main approaches to supermanifolds, and we examine the reasons why many physicists tend to prefer the Rogers approach although the Berezin-Kostant-Leites approach is the more fundamental one. We develop the infinite-dimensional variant of the latter, and we show that the functionals on classical configurations considered in a previous paper are nothing but superfunctions on M. We present a programme for future mathematical work, which applies to any classical field model with fermion fields. This programme is (partially) implemented in successor papers.

[ { "created": "Tue, 16 Jul 1996 13:24:50 GMT", "version": "v1" } ]

2010-11-19

[ [ "Schmitt", "Thomas", "" ] ]

We discuss of the conceptual difficulties connected with the anticommutativity of classical fermion fields, and we argue that the "space" of all classical configurations of a model with such fields should be described as an infinite-dimensional supermanifold M. We discuss the two main approaches to supermanifolds, and we examine the reasons why many physicists tend to prefer the Rogers approach although the Berezin-Kostant-Leites approach is the more fundamental one. We develop the infinite-dimensional variant of the latter, and we show that the functionals on classical configurations considered in a previous paper are nothing but superfunctions on M. We present a programme for future mathematical work, which applies to any classical field model with fermion fields. This programme is (partially) implemented in successor papers.

12.410939

12.877989

13.361252

12.58947

12.798336

15.102492

13.972734

12.989124

11.787067

15.198496

12.547057

12.043421

12.557122

11.926734

11.964787

12.203166

12.088237

12.069077

12.548832

12.531425

12.178193

2009.00728

John F. Donoghue

The cosmological constant and the use of cutoffs

9 pages, 1 figure Reference to Fradkin - Vilkovisky added, as well as some clarifying comments

Phys. Rev. D 104, 045005 (2021)

10.1103/PhysRevD.104.045005

ACFI-T20-10

hep-th gr-qc hep-ph nucl-th

http://creativecommons.org/licenses/by/4.0/

Of the contributions to the cosmological constant, zero-point energy and self energy contributions scale as $\Lambda^4$ where $\Lambda$ is an ultraviolet cutoff used to regulate the calculations. I show that such contributions vanish when calculated in perturbation theory. This demonstration uses a little-known modification to perturbation theory found by Honerkamp and Meetz and by Gerstein, Jackiw, Lee and Weinberg which comes into play when using cutoffs and interactions with multiple derivatives, as found in chiral theories and gravity. In a path integral treatment, the new interaction arises from the path integral measure. This reduces the sensitivity of the cosmological constant to the high energy cutoff significantly, although it does not resolve the cosmological constant problem. The feature removes one of the common motivations for supersymmetry. It also calls into question some of the results of the Asymptotic Safety program. Covariance and quadratic cutoff dependence are also briefly discussed.

[ { "created": "Tue, 1 Sep 2020 22:13:06 GMT", "version": "v1" }, { "created": "Wed, 16 Jun 2021 15:03:28 GMT", "version": "v2" } ]

2021-08-18

[ [ "Donoghue", "John F.", "" ] ]

Of the contributions to the cosmological constant, zero-point energy and self energy contributions scale as $\Lambda^4$ where $\Lambda$ is an ultraviolet cutoff used to regulate the calculations. I show that such contributions vanish when calculated in perturbation theory. This demonstration uses a little-known modification to perturbation theory found by Honerkamp and Meetz and by Gerstein, Jackiw, Lee and Weinberg which comes into play when using cutoffs and interactions with multiple derivatives, as found in chiral theories and gravity. In a path integral treatment, the new interaction arises from the path integral measure. This reduces the sensitivity of the cosmological constant to the high energy cutoff significantly, although it does not resolve the cosmological constant problem. The feature removes one of the common motivations for supersymmetry. It also calls into question some of the results of the Asymptotic Safety program. Covariance and quadratic cutoff dependence are also briefly discussed.

14.568051

14.842247

15.09332

14.123095

14.775023

14.357704

14.323128

14.762311

14.448577

17.207893

13.576836

13.077614

12.952565

12.901947

12.701129

13.142926

12.710556

13.201408

12.478109

13.129449

13.440744

hep-th/0502025

Tigran Tchrakian

Eugen Radu, D. H. Tchrakian

Static BPS 'monopoles' in all even spacetime dimensions

15 pages, 3 figures

Phys.Rev. D71 (2005) 125013

10.1103/PhysRevD.71.125013

null

hep-th

null

Two families of SO(2n) Higgs models in $2n$ dimensional spacetime are presented. One family arises from the {\it dimensional reduction} of higher dimensional Yang-Mills systems while the construction of the other one is {\it ad hoc}, the $n=2$ member of each family coinciding with the usual SU(2) Yang-Mills--Higgs system without Higgs potential. All models support BPS 'monopole' solutions. The 'dyons' of the {\it dimensionally descended} models are also BPS, while the electrically charged solutions of the {\it ad hoc} models are not BPS.

[ { "created": "Wed, 2 Feb 2005 12:34:47 GMT", "version": "v1" } ]

2009-11-11

[ [ "Radu", "Eugen", "" ], [ "Tchrakian", "D. H.", "" ] ]

Two families of SO(2n) Higgs models in $2n$ dimensional spacetime are presented. One family arises from the {\it dimensional reduction} of higher dimensional Yang-Mills systems while the construction of the other one is {\it ad hoc}, the $n=2$ member of each family coinciding with the usual SU(2) Yang-Mills--Higgs system without Higgs potential. All models support BPS 'monopole' solutions. The 'dyons' of the {\it dimensionally descended} models are also BPS, while the electrically charged solutions of the {\it ad hoc} models are not BPS.

8.163652

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7.393046

hep-th/9110052

Philip Argyres

P.C.Argyres, J.M.Grochocinski, S.-H.H.Tye

Structure Constants of the Fractional Supersymmetry Chiral Algebras

44 pages

Nucl.Phys. B367 (1991) 217-254

10.1016/0550-3213(91)90048-3

null

hep-th

null

The fractional supersymmetry chiral algebras in two-dimensional conformal field theory are extended Virasoro algebras with fractional spin currents. We show that associativity and closure of these algebras determines their structure constants in the case that the Virasoro algebra is extended by precisely one current. We compute the structure constants of these algebras explicitly and we show that correlators of the currents satisfy non-Abelian braiding relations.

[ { "created": "Fri, 18 Oct 1991 14:18:59 GMT", "version": "v1" } ]

2009-10-22

[ [ "Argyres", "P. C.", "" ], [ "Grochocinski", "J. M.", "" ], [ "Tye", "S. -H. H.", "" ] ]

The fractional supersymmetry chiral algebras in two-dimensional conformal field theory are extended Virasoro algebras with fractional spin currents. We show that associativity and closure of these algebras determines their structure constants in the case that the Virasoro algebra is extended by precisely one current. We compute the structure constants of these algebras explicitly and we show that correlators of the currents satisfy non-Abelian braiding relations.

9.287354

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9.665228

8.750147

8.982251

9.124727

8.611726

8.758612

9.053142

9.745894

8.606538

2205.06294

Aristomenis Donos

Aristomenis Donos and Christiana Pantelidou

Higgs/Amplitude Mode Dynamics From Holography

38 pages, 4 figures, Version accepted by JHEP

null

10.1007/JHEP08(2022)246

null

hep-th

http://creativecommons.org/licenses/by/4.0/

Second order phase transitions are universally driven by an order parameter which becomes trivial at the critical point. At the same time, collective excitations which involve the amplitude of the order parameter develop a gap which smoothly closes to zero at criticality. We develop analytical techniques to study this "Higgs" mode in holographic systems which undergo a continuous phase transition at finite temperature and chemical potential. This allows us to study the linear response of the system at energy scales of the order of the gap. We express the Green's functions of scalar operators in terms of thermodynamic quantities and a single transport coefficient which we fix in terms of black hole horizon data.

[ { "created": "Thu, 12 May 2022 18:12:30 GMT", "version": "v1" }, { "created": "Thu, 2 Jun 2022 11:22:42 GMT", "version": "v2" }, { "created": "Sun, 21 Aug 2022 16:29:37 GMT", "version": "v3" } ]

2022-09-07

[ [ "Donos", "Aristomenis", "" ], [ "Pantelidou", "Christiana", "" ] ]

Second order phase transitions are universally driven by an order parameter which becomes trivial at the critical point. At the same time, collective excitations which involve the amplitude of the order parameter develop a gap which smoothly closes to zero at criticality. We develop analytical techniques to study this "Higgs" mode in holographic systems which undergo a continuous phase transition at finite temperature and chemical potential. This allows us to study the linear response of the system at energy scales of the order of the gap. We express the Green's functions of scalar operators in terms of thermodynamic quantities and a single transport coefficient which we fix in terms of black hole horizon data.

9.459105

8.504808

9.821323

9.034338

9.117143

8.504225

8.709102

8.548931

8.58005

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8.951781

9.117027

8.735473

9.180302

8.573869

9.349708

8.838488

8.925239

9.250972

8.604387

hep-th/0611130

Valentin V. Khoze

Steven A. Abel, Joerg Jaeckel, Valentin V. Khoze

Why the early Universe preferred the non-supersymmetric vacuum: Part II

15 pages, 6 figures

JHEP 0701:015,2007

10.1088/1126-6708/2007/01/015

IPPP/06/78

hep-th astro-ph hep-ph

null

It was recently shown in hep-th/0610334 that in the context of the ISS models with a metastable supersymmetry breaking vacuum, thermal effects generically drive the Universe to the metastable vacuum even if it began after inflation in the supersymmetry-preserving one. We continue this programme and specifically take into account two new effects. First is the effect of the mass-gap of the gauge degrees of freedom in the confining supersymmetry preserving vacua, and second, is the effect of the back reaction of the MSSM sector on the SUSY breaking ISS sector. It is shown that, even though the mass-gap is parametrically smaller than the <\phi> vevs, it drastically reduces the temperature required for the Universe to be driven to the metastable vacuum: essentially any temperature larger than the supersymmetry breaking scale \mu is sufficient. On the other hand we also find that any reasonable transmission of SUSY breaking to the MSSM sector has no effect on the vacuum transitions to, and the stability of the SUSY breaking vacuum. We conclude that for these models the early Universe does end up in the SUSY breaking vacuum.

[ { "created": "Mon, 13 Nov 2006 19:09:26 GMT", "version": "v1" } ]

2010-10-27

[ [ "Abel", "Steven A.", "" ], [ "Jaeckel", "Joerg", "" ], [ "Khoze", "Valentin V.", "" ] ]

It was recently shown in hep-th/0610334 that in the context of the ISS models with a metastable supersymmetry breaking vacuum, thermal effects generically drive the Universe to the metastable vacuum even if it began after inflation in the supersymmetry-preserving one. We continue this programme and specifically take into account two new effects. First is the effect of the mass-gap of the gauge degrees of freedom in the confining supersymmetry preserving vacua, and second, is the effect of the back reaction of the MSSM sector on the SUSY breaking ISS sector. It is shown that, even though the mass-gap is parametrically smaller than the <\phi> vevs, it drastically reduces the temperature required for the Universe to be driven to the metastable vacuum: essentially any temperature larger than the supersymmetry breaking scale \mu is sufficient. On the other hand we also find that any reasonable transmission of SUSY breaking to the MSSM sector has no effect on the vacuum transitions to, and the stability of the SUSY breaking vacuum. We conclude that for these models the early Universe does end up in the SUSY breaking vacuum.

8.744045

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8.290359

8.112182

7.961217

8.299187

8.019681

8.169692

8.048557

8.504

8.124106

hep-th/9308018

Arkady Tseytlin

K.Sfetsos and A.A.Tseytlin

Chiral gauged WZNW models and heterotic string backgrounds

41 pages, harvmac, CERN-TH.6962, USC-93/HEP-S2

Nucl.Phys.B415:116-154,1994

10.1016/0550-3213(94)90069-8

null

hep-th

null

We construct new heterotic string backgrounds which are analogous to superstring solutions corresponding to coset models but are not simply the `embeddings'of the latter. They are described by the (1,0) supersymmetric extension of the $G/H$ chiral gauged WZNW models. The `chiral gauged' WZNW action differs from the standard gauged WZNW action by the absence of the $A\bar A$-term (and thus is not gauge invariant in the usual sense) but can still be expressed as a combination of WZNW actions and is conformal invariant. We explain a close relation between gauged and chiral gauged WZNW models and prove that in the case of the abelian $H$ the $G/H$ chiral gauged theory is equivalent to a particular $(G\times H)/H$ gauged WZNW theory. In contrast to the gauged WZNW model, the chiral gauged one admits a (1,0) supersymmetric extension which is consistent at the quantum level. Integrating out the $2d$ gauge field we determine the exact (in $\alpha'$) form of the couplings of the corresponding heterotic sigma model. While in the bosonic (superstring) cases all the fields depend (do not depend) non-trivially on $\alpha'$ here the metric receives only one $O(\alpha')$ correction while the antisymmetric tensor and the dilaton remain semiclassical. As a simplest example, we discuss the basic $D=3$ solution which is the heterotic string counterpart of the `black string' $SL(2,R) \times R/ R $ background.

[ { "created": "Thu, 5 Aug 1993 14:28:15 GMT", "version": "v1" } ]

2009-09-17

[ [ "Sfetsos", "K.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We construct new heterotic string backgrounds which are analogous to superstring solutions corresponding to coset models but are not simply the `embeddings'of the latter. They are described by the (1,0) supersymmetric extension of the $G/H$ chiral gauged WZNW models. The `chiral gauged' WZNW action differs from the standard gauged WZNW action by the absence of the $A\bar A$-term (and thus is not gauge invariant in the usual sense) but can still be expressed as a combination of WZNW actions and is conformal invariant. We explain a close relation between gauged and chiral gauged WZNW models and prove that in the case of the abelian $H$ the $G/H$ chiral gauged theory is equivalent to a particular $(G\times H)/H$ gauged WZNW theory. In contrast to the gauged WZNW model, the chiral gauged one admits a (1,0) supersymmetric extension which is consistent at the quantum level. Integrating out the $2d$ gauge field we determine the exact (in $\alpha'$) form of the couplings of the corresponding heterotic sigma model. While in the bosonic (superstring) cases all the fields depend (do not depend) non-trivially on $\alpha'$ here the metric receives only one $O(\alpha')$ correction while the antisymmetric tensor and the dilaton remain semiclassical. As a simplest example, we discuss the basic $D=3$ solution which is the heterotic string counterpart of the `black string' $SL(2,R) \times R/ R $ background.

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6.45871

1811.03216

Tao Zhu

Jin Qiao, Guang-Hua Ding, Qiang Wu, Tao Zhu, and Anzhong Wang

Inflationary perturbation spectrum in extended effective field theory of inflation

v1: 13 pages, 5 figures; v2: 16 pages, discussions about strong coupling problem expanded, references added; v3: version to appear in JCAP

JCAP 09 (2019) 064

10.1088/1475-7516/2019/09/064

null

hep-th astro-ph.CO gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The effective field theory (EFT) of inflation provides a natural framework to study the new physical effects on primordial perturbations. Recently a healthy extension of the EFT of inflation with high-order operators has been proposed, which avoids ghosts and meanwhile leads to a nonlinear dispersion relation of the scalar perturbations. This paper is devoted to studying the effects of these high-order operators by using the uniform asymptotic approximation method. In particular, we first construct the approximate analytical solution to the mode function of the scalar perturbations. Because of the presence of the high-order operators, the perturbation modes usually experience a period of non-adiabatic evolution before they cross the Hubble radius, which could lead to the production of excited states and modifications of the primordial perturbation spectrum. However, we show that the modified power spectrum is still nearly scale-invariant and the presence of the high-order operators can only affect the overall amplitude of the spectrum. In particular, after showing explicitly the impact of these new effects on particle production rate and perturbation spectrum, we explore their origin in detail.

[ { "created": "Thu, 8 Nov 2018 01:51:46 GMT", "version": "v1" }, { "created": "Fri, 28 Jun 2019 08:26:45 GMT", "version": "v2" }, { "created": "Tue, 17 Sep 2019 06:24:15 GMT", "version": "v3" } ]

2019-10-01

[ [ "Qiao", "Jin", "" ], [ "Ding", "Guang-Hua", "" ], [ "Wu", "Qiang", "" ], [ "Zhu", "Tao", "" ], [ "Wang", "Anzhong", "" ] ]

The effective field theory (EFT) of inflation provides a natural framework to study the new physical effects on primordial perturbations. Recently a healthy extension of the EFT of inflation with high-order operators has been proposed, which avoids ghosts and meanwhile leads to a nonlinear dispersion relation of the scalar perturbations. This paper is devoted to studying the effects of these high-order operators by using the uniform asymptotic approximation method. In particular, we first construct the approximate analytical solution to the mode function of the scalar perturbations. Because of the presence of the high-order operators, the perturbation modes usually experience a period of non-adiabatic evolution before they cross the Hubble radius, which could lead to the production of excited states and modifications of the primordial perturbation spectrum. However, we show that the modified power spectrum is still nearly scale-invariant and the presence of the high-order operators can only affect the overall amplitude of the spectrum. In particular, after showing explicitly the impact of these new effects on particle production rate and perturbation spectrum, we explore their origin in detail.

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