LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1907.12755

Andrew Frey

Andrew R. Frey

Dirac branes for Dirichlet branes: Supergravity actions

16pp + appendices + references (two column); dedicated to the memory of J. Polchinski; v2. revision to noncovariant IIB action, other minor additions inc. references; v3. minor edits, column formatting; v4. as published in PRD modulo typography and inclusion of dedication

Phys. Rev. D 102, 046017 (2020)

10.1103/PhysRevD.102.046017

null

hep-th

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

Nontrivial Bianchi identities with local magnetic sources are solved by recognizing that gauge potentials are sections rather than globally defined functions, but properly accounting for the source degrees of freedom requires a modification of the field strength. Following work by Teitelboim and by Cariglia and Lechner, we extend Dirac's string formalism for monopoles to D-branes in type IIA and IIB string theory. We give novel derivations of brane-induced Chern-Simons terms in the supergravity actions, including a prescription for integrating over potentials in the presence of magnetic sources. We give a noncovariant formulation of the IIB theory, keeping only the independent degrees of freedom of the self-dual 4-form potential. Finally, it is well-known that D8-branes source the mass parameter of IIA supergravity; we show that the additional couplings of the massive IIA supergravity, including on other D-brane worldvolumes, are a consequence of the corresponding Dirac branes.

[ { "created": "Tue, 30 Jul 2019 06:43:21 GMT", "version": "v1" }, { "created": "Tue, 6 Aug 2019 07:27:26 GMT", "version": "v2" }, { "created": "Tue, 26 May 2020 05:20:20 GMT", "version": "v3" }, { "created": "Fri, 11 Sep 2020 17:54:50 GMT", "version": "v4" } ]

2020-09-14

[ [ "Frey", "Andrew R.", "" ] ]

Nontrivial Bianchi identities with local magnetic sources are solved by recognizing that gauge potentials are sections rather than globally defined functions, but properly accounting for the source degrees of freedom requires a modification of the field strength. Following work by Teitelboim and by Cariglia and Lechner, we extend Dirac's string formalism for monopoles to D-branes in type IIA and IIB string theory. We give novel derivations of brane-induced Chern-Simons terms in the supergravity actions, including a prescription for integrating over potentials in the presence of magnetic sources. We give a noncovariant formulation of the IIB theory, keeping only the independent degrees of freedom of the self-dual 4-form potential. Finally, it is well-known that D8-branes source the mass parameter of IIA supergravity; we show that the additional couplings of the massive IIA supergravity, including on other D-brane worldvolumes, are a consequence of the corresponding Dirac branes.

13.25235

12.997573

14.24297

12.722507

13.418293

13.52352

12.669236

12.85498

12.555514

15.904814

12.412671

12.383584

13.610412

12.31057

12.559622

12.509067

12.262198

12.267547

12.357056

13.191676

12.625014

hep-th/0201148

Marty Stock

Noah Graham, Robert L. Jaffe, Herbert Weigel

Casimir Effects in Renormalizable Quantum Field Theories

27 pp., 11 EPS figures, LaTeX using ijmpa1.sty; email correspondence to R.L. Jaffe <jaffe@mit.edu> ; based on talks presented by the authors at the 5th workshop `QFTEX', Leipzig, September 2001

Int.J.Mod.Phys. A17 (2002) 846-869

10.1142/S0217751X02010224

MIT-CTP-3233

hep-th hep-ph nucl-th quant-ph

null

We review the framework we and our collaborators have developed for the study of one-loop quantum corrections to extended field configurations in renormalizable quantum field theories. We work in the continuum, transforming the standard Casimir sum over modes into a sum over bound states and an integral over scattering states weighted by the density of states. We express the density of states in terms of phase shifts, allowing us to extract divergences by identifying Born approximations to the phase shifts with low order Feynman diagrams. Once isolated in Feynman diagrams, the divergences are canceled against standard counterterms. Thus regulated, the Casimir sum is highly convergent and amenable to numerical computation. Our methods have numerous applications to the theory of solitons, membranes, and quantum field theories in strong external fields or subject to boundary conditions.

[ { "created": "Fri, 18 Jan 2002 19:39:09 GMT", "version": "v1" } ]

2009-11-07

[ [ "Graham", "Noah", "" ], [ "Jaffe", "Robert L.", "" ], [ "Weigel", "Herbert", "" ] ]

We review the framework we and our collaborators have developed for the study of one-loop quantum corrections to extended field configurations in renormalizable quantum field theories. We work in the continuum, transforming the standard Casimir sum over modes into a sum over bound states and an integral over scattering states weighted by the density of states. We express the density of states in terms of phase shifts, allowing us to extract divergences by identifying Born approximations to the phase shifts with low order Feynman diagrams. Once isolated in Feynman diagrams, the divergences are canceled against standard counterterms. Thus regulated, the Casimir sum is highly convergent and amenable to numerical computation. Our methods have numerous applications to the theory of solitons, membranes, and quantum field theories in strong external fields or subject to boundary conditions.

11.370705

10.785141

12.586403

10.887457

11.497745

10.571362

11.082634

9.871541

11.442139

13.064581

10.598108

10.808374

11.559629

10.483791

10.832842

10.957735

10.999902

11.080303

10.910121

11.236772

10.468398

1408.2694

Piyabut Burikham

Piyabut Burikham and Chatchai Promsiri

The Mixed Phase of Charged AdS Black holes

31 pages, 12 figures, added section on the analysis for charged radiation

null

hep-th

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

We study the mixed phase of charged AdS black hole and radiation when the total energy is fixed below the threshold to produce a stable charged black hole branch. The coexistence conditions for the charged AdS black hole and radiation are derived for the generic case when radiation particles carry charge. The phase diagram of the mixed phase is demonstrated for both fixed potential and charge ensemble. In the dual gauge picture, they correspond to the mixed phase of quark-gluon plasma~(QGP) and hadron gas in the fixed chemical potential and density ensemble respectively. In the nuclei and heavy ion collisions at intermediate energies, the mixed phase of exotic QGP and hadron gas could be produced. The mixed phase will condensate and evaporate into the hadron gas as the fireball expands.

[ { "created": "Tue, 12 Aug 2014 11:30:11 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 2015 07:11:55 GMT", "version": "v2" } ]

2015-01-21

[ [ "Burikham", "Piyabut", "" ], [ "Promsiri", "Chatchai", "" ] ]

We study the mixed phase of charged AdS black hole and radiation when the total energy is fixed below the threshold to produce a stable charged black hole branch. The coexistence conditions for the charged AdS black hole and radiation are derived for the generic case when radiation particles carry charge. The phase diagram of the mixed phase is demonstrated for both fixed potential and charge ensemble. In the dual gauge picture, they correspond to the mixed phase of quark-gluon plasma~(QGP) and hadron gas in the fixed chemical potential and density ensemble respectively. In the nuclei and heavy ion collisions at intermediate energies, the mixed phase of exotic QGP and hadron gas could be produced. The mixed phase will condensate and evaporate into the hadron gas as the fireball expands.

9.775702

9.864503

9.442379

8.285407

9.15669

9.205172

10.07256

9.161072

8.8083

9.89669

8.232141

8.785636

8.542383

8.479231

8.668435

8.903017

8.711585

8.356138

8.80834

8.879645

8.490372

1204.1060

Ergin Sezgin

Y. Pang, C.N. Pope and E. Sezgin

Spectrum of Higher Derivative 6D Chiral Supergravity

typos corrected

JHEP 1210:154,2012

10.1007/JHEP10(2012)154

MIFPA-12-12

hep-th

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

Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N=(1,0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski x S^2 compactification with a U(1) monopole of unit charge on S^2. We determine the full spectrum of the theory on this background. We also determine the spectrum on a non-supersymmetric version of this compactification in which the monopole charge is different from unity, and we find the peculiar feature that there are massless gravitini in a representation of the S^2 isometry group determined by the monopole charge.

[ { "created": "Wed, 4 Apr 2012 20:00:12 GMT", "version": "v1" }, { "created": "Thu, 19 Apr 2012 19:11:10 GMT", "version": "v2" }, { "created": "Sat, 23 Jun 2012 14:37:39 GMT", "version": "v3" }, { "created": "Fri, 19 Oct 2012 20:40:25 GMT", "version": "v4" }, { "created": "Wed, 14 Nov 2012 22:49:55 GMT", "version": "v5" } ]

2012-11-16

[ [ "Pang", "Y.", "" ], [ "Pope", "C. N.", "" ], [ "Sezgin", "E.", "" ] ]

Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N=(1,0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski x S^2 compactification with a U(1) monopole of unit charge on S^2. We determine the full spectrum of the theory on this background. We also determine the spectrum on a non-supersymmetric version of this compactification in which the monopole charge is different from unity, and we find the peculiar feature that there are massless gravitini in a representation of the S^2 isometry group determined by the monopole charge.

6.800115

7.012725

7.484538

6.409015

6.505261

6.25311

6.412073

6.214022

6.228362

7.499194

6.290428

6.043642

6.852975

6.042041

6.235404

6.374897

5.808983

6.120084

5.985075

6.583878

6.236876

0802.2065

Agustin Sabio Vera

J. Bartels (1), L. N. Lipatov (1 and 2), A. Sabio Vera (3) ((1) Hamburg U., (2) St. Petersburg Nuclear Physics Institute, (3) CERN)

BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes

41 pages, expanded version with many clarifications and new references, conclusions unchanged. Note added

Phys.Rev.D80:045002,2009

10.1103/PhysRevD.80.045002

CERN-PH-TH/2008-027, DESY-08-015

hep-th hep-ph

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

After a brief review of the BFKL approach to Regge processes in QCD and in supersymmetric (SUSY) gauge theories we propose a strategy for calculating the next-to-next-to-leading order corrections to the BFKL kernel. They can be obtained in terms of various cross-sections for Reggeized gluon interactions. The corresponding amplitudes can be calculated in the framework of the effective action for high energy scattering. In the case of N=4 SUSY it is also possible to use the Bern-Dixon-Smirnov (BDS) ansatz. For this purpose the analytic properties of the BDS amplitudes at high energies are investigated, in order to verify their self-consistency. It is found that, for the number of external particles being larger than five, these amplitudes, beyond one loop, are not in agreement with the BFKL approach which predicts the existence of Regge cuts in some physical channels.

[ { "created": "Thu, 14 Feb 2008 18:05:03 GMT", "version": "v1" }, { "created": "Tue, 26 Feb 2008 18:03:00 GMT", "version": "v2" }, { "created": "Fri, 28 Mar 2008 14:24:43 GMT", "version": "v3" }, { "created": "Tue, 11 Nov 2008 14:50:58 GMT", "version": "v4" }, { "created": "Mon, 9 Feb 2009 17:29:40 GMT", "version": "v5" } ]

2009-09-02

[ [ "Bartels", "J.", "", "1 and 2" ], [ "Lipatov", "L. N.", "", "1 and 2" ], [ "Vera", "A. Sabio", "" ] ]

After a brief review of the BFKL approach to Regge processes in QCD and in supersymmetric (SUSY) gauge theories we propose a strategy for calculating the next-to-next-to-leading order corrections to the BFKL kernel. They can be obtained in terms of various cross-sections for Reggeized gluon interactions. The corresponding amplitudes can be calculated in the framework of the effective action for high energy scattering. In the case of N=4 SUSY it is also possible to use the Bern-Dixon-Smirnov (BDS) ansatz. For this purpose the analytic properties of the BDS amplitudes at high energies are investigated, in order to verify their self-consistency. It is found that, for the number of external particles being larger than five, these amplitudes, beyond one loop, are not in agreement with the BFKL approach which predicts the existence of Regge cuts in some physical channels.

6.435919

5.945049

6.542706

5.876096

5.899618

6.292389

6.307002

6.072356

5.850255

6.592926

5.759986

5.65806

5.928758

5.902141

5.987773

5.835776

6.044524

5.891439

5.909273

5.863688

5.845602

2209.02837

Andreas Stergiou

Stefanos R. Kousvos and Andreas Stergiou

CFTs with $U(m)\times U(n)$ Global Symmetry in 3D and the Chiral Phase Transition of QCD

35 pages, 15 figures. v2: Comments added. Misidentification of $U_\pm$ fixed points fixed. v3: Discussion on applicability of bootstrap results amended

SciPost Phys. 15, 075 (2023)

10.21468/SciPostPhys.15.2.075

null

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

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

Conformal field theories (CFTs) with $U(m)\times U(n)$ global symmetry in $d=3$ dimensions have been studied for years due to their potential relevance to the chiral phase transition of quantum chromodynamics (QCD). In this work such CFTs are analyzed in $d=4-\varepsilon$ and $d=3$. This includes perturbative computations in the $\varepsilon$ and large-$n$ expansions as well as non-perturbative ones with the numerical conformal bootstrap. New perturbative results are presented and a variety of non-perturbative bootstrap bounds are obtained in $d=3$. Various features of the bounds obtained for large values of $n$ disappear for low values of $n$ (keeping $m<n$ fixed), a phenomenon which is attributed to a transition of the corresponding fixed points to the non-unitary regime. Numerous bootstrap bounds are found that are saturated by large-$n$ results, even in the absence of any features in the bounds. A double scaling limit is also observed, for $m$ and $n$ large with $m/n$ fixed, both in perturbation theory as well as in the numerical bootstrap. For the case of two-flavor massless QCD existing bootstrap evidence is reproduced that the chiral phase transition may be second order, albeit associated to a universality class unrelated to the one usually discussed in the $\varepsilon$ expansion. Similar evidence is found for the case of three-flavor massless QCD, where we observe a pronounced kink.

[ { "created": "Tue, 6 Sep 2022 22:26:53 GMT", "version": "v1" }, { "created": "Wed, 1 Feb 2023 15:48:15 GMT", "version": "v2" }, { "created": "Mon, 3 Apr 2023 07:20:30 GMT", "version": "v3" } ]

2023-08-30

[ [ "Kousvos", "Stefanos R.", "" ], [ "Stergiou", "Andreas", "" ] ]

Conformal field theories (CFTs) with $U(m)\times U(n)$ global symmetry in $d=3$ dimensions have been studied for years due to their potential relevance to the chiral phase transition of quantum chromodynamics (QCD). In this work such CFTs are analyzed in $d=4-\varepsilon$ and $d=3$. This includes perturbative computations in the $\varepsilon$ and large-$n$ expansions as well as non-perturbative ones with the numerical conformal bootstrap. New perturbative results are presented and a variety of non-perturbative bootstrap bounds are obtained in $d=3$. Various features of the bounds obtained for large values of $n$ disappear for low values of $n$ (keeping $m<n$ fixed), a phenomenon which is attributed to a transition of the corresponding fixed points to the non-unitary regime. Numerous bootstrap bounds are found that are saturated by large-$n$ results, even in the absence of any features in the bounds. A double scaling limit is also observed, for $m$ and $n$ large with $m/n$ fixed, both in perturbation theory as well as in the numerical bootstrap. For the case of two-flavor massless QCD existing bootstrap evidence is reproduced that the chiral phase transition may be second order, albeit associated to a universality class unrelated to the one usually discussed in the $\varepsilon$ expansion. Similar evidence is found for the case of three-flavor massless QCD, where we observe a pronounced kink.

6.830071

6.449045

7.303395

6.560098

6.697178

6.442183

6.181121

6.585643

6.603711

7.497964

6.280714

6.742149

6.627053

6.465256

6.693831

6.646459

6.591168

6.535672

6.589517

6.612464

6.466627

1408.2329

Alexey Sharapov

Peierls brackets in non-Lagrangian field theory

31 pages, v2 a reference added

null

10.1142/S0217751X14501577

null

hep-th math-ph math.MP

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

The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach. In this paper, I show that any Lagrange structure gives rise to a covariant Poisson brackets on the space of solutions to the classical equations of motion, be they Lagrangian or not. The brackets generalize the well-known Peierls' bracket construction and make a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics.

[ { "created": "Mon, 11 Aug 2014 07:02:04 GMT", "version": "v1" }, { "created": "Mon, 18 Aug 2014 10:39:46 GMT", "version": "v2" } ]

2015-06-22

[ [ "Sharapov", "Alexey", "" ] ]

The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach. In this paper, I show that any Lagrange structure gives rise to a covariant Poisson brackets on the space of solutions to the classical equations of motion, be they Lagrangian or not. The brackets generalize the well-known Peierls' bracket construction and make a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics.

7.849717

6.225786

7.511681

6.722478

6.857221

7.102913

6.383666

6.420053

6.667005

7.96797

7.019413

6.894423

7.441459

6.734115

6.730425

6.73875

6.555551

6.724788

7.065052

7.200861

6.943241

hep-th/0612088

Oscar Loaiza-Brito

Freed-Witten anomaly in general flux compactification

v3: Shortened version. Examples added. Main results unchanged

Phys.Rev.D76:106015,2007

10.1103/PhysRevD.76.106015

null

hep-th

null

Turning on a NS-NS three-form flux in a compact space drives some D-branes to be either Freed-Witten anomalous or unstable to decay into fluxes by the appearance of instantonic branes. By applying T-duality on a toroidal compactification, the NS-flux is transformed into metric fluxes. We propose a T-dual version of the Atiyah-Hirzebruch Spectral Sequence upon which we describe the Freed-Witten anomaly and the brane-flux transition driven by NS and metric fluxes in a twisted torus. The required conditions to cancel the anomaly and the appearance of new instantonic branes are also described. In addition, we give an example in which all D6-branes wrapping Freed-Witten anomaly-free three-cycles in the twisted torus T^6/Z(2)XZ(2) are nevertheless unstable to be transformed into fluxes. Evenmore we find a topological transformation between RR, NS-NS and metric fluxes driven by a chain of instantonic branes.

[ { "created": "Mon, 11 Dec 2006 15:40:49 GMT", "version": "v1" }, { "created": "Wed, 10 Jan 2007 01:06:44 GMT", "version": "v2" }, { "created": "Sun, 27 May 2007 19:08:09 GMT", "version": "v3" } ]

2008-11-26

[ [ "Loaiza-Brito", "Oscar", "" ] ]

Turning on a NS-NS three-form flux in a compact space drives some D-branes to be either Freed-Witten anomalous or unstable to decay into fluxes by the appearance of instantonic branes. By applying T-duality on a toroidal compactification, the NS-flux is transformed into metric fluxes. We propose a T-dual version of the Atiyah-Hirzebruch Spectral Sequence upon which we describe the Freed-Witten anomaly and the brane-flux transition driven by NS and metric fluxes in a twisted torus. The required conditions to cancel the anomaly and the appearance of new instantonic branes are also described. In addition, we give an example in which all D6-branes wrapping Freed-Witten anomaly-free three-cycles in the twisted torus T^6/Z(2)XZ(2) are nevertheless unstable to be transformed into fluxes. Evenmore we find a topological transformation between RR, NS-NS and metric fluxes driven by a chain of instantonic branes.

11.057502

10.322166

12.946215

9.878942

9.75868

10.715302

9.576862

9.496964

10.086696

12.24966

9.894814

9.624973

10.398241

9.308508

9.211387

9.797268

9.582223

9.488215

9.217733

10.274582

9.742743

1908.09704

Istvan Vona

Finite volume corrections of non-diagonal form factors

80 pages, 27 figures, added references and nomenclature

null

hep-th

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

This thesis presents L\"uscher's $\mu$- and $F$-term corrections to volume dependence of non-diagonal finite volume form factors in the scaling Lee-Yang model. An explicit calculation proves the suspected relation that the $\mu$-terms known previously from bound state quantization can be obtained from the $F$-term integrals by modifying the contour of integration such that it picks up residues of appropriate poles in the integrand. The fact that these two different approaches for getting the $\mu$-terms give the same result underpins the formal derivation of the $F$-term in arXiv:1904.00492 which was not known until recently. In the meantime, the notions of integrable quantum field theories and those related to their treatment in finite volume are introduced to help understand the topic for readers not familiar with it.

[ { "created": "Mon, 26 Aug 2019 14:25:28 GMT", "version": "v1" }, { "created": "Wed, 28 Aug 2019 11:38:16 GMT", "version": "v2" } ]

2019-08-29

[ [ "Vona", "Istvan", "" ] ]

This thesis presents L\"uscher's $\mu$- and $F$-term corrections to volume dependence of non-diagonal finite volume form factors in the scaling Lee-Yang model. An explicit calculation proves the suspected relation that the $\mu$-terms known previously from bound state quantization can be obtained from the $F$-term integrals by modifying the contour of integration such that it picks up residues of appropriate poles in the integrand. The fact that these two different approaches for getting the $\mu$-terms give the same result underpins the formal derivation of the $F$-term in arXiv:1904.00492 which was not known until recently. In the meantime, the notions of integrable quantum field theories and those related to their treatment in finite volume are introduced to help understand the topic for readers not familiar with it.

13.64941

13.931442

15.864916

13.135674

12.187448

13.491323

13.436646

13.345489

12.129093

16.605165

12.801978

12.861669

13.93639

12.981766

13.21914

12.839572

12.629614

13.025843

12.524938

13.254691

12.889997

hep-th/9805060

Erica R. Nakano

E.R. Takano Natti, Chi-Yong Lin, A.F.R de Toledo Piza and P.L. Natti

Fermion Pairing Dynamics in the Relativistic Scalar Plasma

21 pages, latex, 4 postscript figures, new sections, some literary changes, notation corrections, accepted for publication in Phys. Rev D

null

10.1103/PhysRevD.60.125013

null

hep-th

null

Using many-body techniques we obtain the time-dependent Gaussian approximation for interacting fermion-scalar field models. This method is applied to an uniform system of relativistic spin-1/2 fermion field coupled, through a Yukawa term, to a scalar field in 3+1 dimensions, the so-called quantum scalar plasma model. The renormalization for the resulting Gaussian mean-field equations, both static and dynamical, are examined and initial conditions discussed. We also investigate solutions for the gap equation and show that the energy density has a single minimum.

[ { "created": "Mon, 11 May 1998 15:06:50 GMT", "version": "v1" }, { "created": "Fri, 23 Jul 1999 18:32:50 GMT", "version": "v2" } ]

2009-10-31

[ [ "Natti", "E. R. Takano", "" ], [ "Lin", "Chi-Yong", "" ], [ "Piza", "A. F. R de Toledo", "" ], [ "Natti", "P. L.", "" ] ]

Using many-body techniques we obtain the time-dependent Gaussian approximation for interacting fermion-scalar field models. This method is applied to an uniform system of relativistic spin-1/2 fermion field coupled, through a Yukawa term, to a scalar field in 3+1 dimensions, the so-called quantum scalar plasma model. The renormalization for the resulting Gaussian mean-field equations, both static and dynamical, are examined and initial conditions discussed. We also investigate solutions for the gap equation and show that the energy density has a single minimum.

15.474473

13.607002

14.106293

13.394739

13.673083

15.448344

14.388047

13.842091

14.156981

15.040736

14.218781

14.141054

14.293169

13.837876

13.651835

13.660891

14.11116

13.887585

14.596442

14.59953

13.501539

hep-th/0512093

Teresia Mansson

D. Bundzik, T. Mansson

The general Leigh-Strassler deformation and integrability

22 pages, 8 figures, reference added

JHEP0601:116,2006

10.1088/1126-6708/2006/01/116

Nordita-2005-76, LU TP 05-46

hep-th

null

The success of the identification of the planar dilatation operator of N=4 SYM with an integrable spin chain Hamiltonian has raised the question if this also is valid for a deformed theory. Several deformations of SYM have recently been under investigation in this context. In this work we consider the general Leigh-Strassler deformation. For the generic case the S-matrix techniques cannot be used to prove integrability. Instead we use R-matrix techniques to study integrability. Some new integrable points in the parameter space are found.

[ { "created": "Thu, 8 Dec 2005 12:38:39 GMT", "version": "v1" }, { "created": "Thu, 15 Dec 2005 14:52:26 GMT", "version": "v2" } ]

2009-11-11

[ [ "Bundzik", "D.", "" ], [ "Mansson", "T.", "" ] ]

The success of the identification of the planar dilatation operator of N=4 SYM with an integrable spin chain Hamiltonian has raised the question if this also is valid for a deformed theory. Several deformations of SYM have recently been under investigation in this context. In this work we consider the general Leigh-Strassler deformation. For the generic case the S-matrix techniques cannot be used to prove integrability. Instead we use R-matrix techniques to study integrability. Some new integrable points in the parameter space are found.

9.011322

7.279006

8.933816

7.052291

7.723725

7.637856

7.855155

6.826807

7.421146

8.273226

7.778184

7.083416

8.306391

7.413682

7.405948

7.381767

7.638163

7.132955

7.537766

8.084196

7.785335

hep-th/9306163

null

Ch. Devchand and V. Ogievetsky

The matreoshka of supersymmetric self-dual theories

19 pages, Bonn-HE-93-23

Nucl.Phys. B414 (1994) 763-782

10.1016/0550-3213(94)90260-7

null

hep-th

null

Extended super self-dual systems have a structure reminiscent of a ``matreoshka''. For instance, solutions for N=0 are embedded in solutions for N=1, which are in turn embedded in solutions for N=2, and so on. Consequences of this phenomenon are explored. In particular, we present an explicit construction of local solutions of the higher-N super self-duality equations starting from any N=0 self-dual solution. Our construction uses N=0 solution data to produce N=1 solution data, which in turn yields N=2 solution data, and so on; each stage introducing a dependence of the solution on sufficiently many additional arbitrary functions to yield the most general supersymmetric solution having the initial N=0 solution as the helicity +1 component. The problem of finding the general local solution of the $N>0$ super self-duality equations therefore reduces to finding the general solution of the usual (N=0) self-duality equations. Another consequence of the matreoshka phenomenon is the vanishing of many conserved currents, including the supercurrents, for super self-dual systems.

[ { "created": "Wed, 30 Jun 1993 16:29:41 GMT", "version": "v1" } ]

2009-10-22

[ [ "Devchand", "Ch.", "" ], [ "Ogievetsky", "V.", "" ] ]

Extended super self-dual systems have a structure reminiscent of a ``matreoshka''. For instance, solutions for N=0 are embedded in solutions for N=1, which are in turn embedded in solutions for N=2, and so on. Consequences of this phenomenon are explored. In particular, we present an explicit construction of local solutions of the higher-N super self-duality equations starting from any N=0 self-dual solution. Our construction uses N=0 solution data to produce N=1 solution data, which in turn yields N=2 solution data, and so on; each stage introducing a dependence of the solution on sufficiently many additional arbitrary functions to yield the most general supersymmetric solution having the initial N=0 solution as the helicity +1 component. The problem of finding the general local solution of the $N>0$ super self-duality equations therefore reduces to finding the general solution of the usual (N=0) self-duality equations. Another consequence of the matreoshka phenomenon is the vanishing of many conserved currents, including the supercurrents, for super self-dual systems.

7.396264

7.19882

7.760003

6.885726

7.383237

7.693209

7.475611

7.341083

7.319882

8.352736

7.12978

6.943198

7.209068

7.106735

6.974003

6.876239

6.90541

7.059307

7.125755

7.618707

6.890592

1003.4487

Diego Rodriguez-Gomez

Francesco Aprile, Sebastian Franco, Diego Rodriguez-Gomez, Jorge G. Russo

Phenomenological Models of Holographic Superconductors and Hall currents

24 pages, 12 figures; minor corrections, published version

JHEP 1005:102,2010

10.1007/JHEP05(2010)102

ICCUB-10-020

hep-th

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

We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real superconductors, like arbitrary critical temperatures and critical exponents in a certain range, and perhaps impurities, boundary or thickness effects. We find analytical expressions for the critical exponents of the general model and show that they satisfy the Rushbrooke identity. An important subclass of models exhibits second order phase transitions. A study of the specific heat shows that general models can also describe holographic superconductors undergoing first, second and third (or higher) order phase transitions. We discuss how small deformations of the HHH model lead to the appearance of resonance peaks in the conductivity, which become narrower as the temperature is gradually decreased, without the need for tuning mass of the scalar to be close to the Breitenlohner-Freedman bound. Finally, we investigate the inclusion of a generalized "theta term" producing Hall effect without magnetic field.

[ { "created": "Tue, 23 Mar 2010 18:49:08 GMT", "version": "v1" }, { "created": "Wed, 31 Mar 2010 18:09:46 GMT", "version": "v2" }, { "created": "Tue, 1 Jun 2010 19:57:42 GMT", "version": "v3" } ]

2015-03-13

[ [ "Aprile", "Francesco", "" ], [ "Franco", "Sebastian", "" ], [ "Rodriguez-Gomez", "Diego", "" ], [ "Russo", "Jorge G.", "" ] ]

We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real superconductors, like arbitrary critical temperatures and critical exponents in a certain range, and perhaps impurities, boundary or thickness effects. We find analytical expressions for the critical exponents of the general model and show that they satisfy the Rushbrooke identity. An important subclass of models exhibits second order phase transitions. A study of the specific heat shows that general models can also describe holographic superconductors undergoing first, second and third (or higher) order phase transitions. We discuss how small deformations of the HHH model lead to the appearance of resonance peaks in the conductivity, which become narrower as the temperature is gradually decreased, without the need for tuning mass of the scalar to be close to the Breitenlohner-Freedman bound. Finally, we investigate the inclusion of a generalized "theta term" producing Hall effect without magnetic field.

13.062435

14.24427

13.983222

13.242023

13.407631

13.429495

13.711764

13.52423

12.838223

16.403475

13.081078

12.073052

13.001571

12.296607

12.577824

12.444552

12.655829

12.161144

12.319358

13.623791

12.405343

2311.04956

Nicholas Agia

Nicholas Agia and Daniel L. Jafferis

AdS$_3$ String Stars at Pure NSNS Flux

32+1 pages, 6 figures, 2 integral identities, 5 stars and 1 bulb of garlic

null

hep-th

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

We study Horowitz-Polchinski string stars in pure AdS$_3$ near the Hagedorn temperature using the technique of worldsheet conformal perturbation theory. Since the worldsheet CFT for pure AdS$_3$ is known exactly, our methodology provides a systematic way to construct Horowitz-Polchinski backgrounds to all orders in $\alpha'$. We explicitly construct the leading string star equations in a double expansion in temperature and WZW level $k$ which we then solve numerically.

[ { "created": "Wed, 8 Nov 2023 19:00:00 GMT", "version": "v1" } ]

2023-11-10

[ [ "Agia", "Nicholas", "" ], [ "Jafferis", "Daniel L.", "" ] ]

We study Horowitz-Polchinski string stars in pure AdS$_3$ near the Hagedorn temperature using the technique of worldsheet conformal perturbation theory. Since the worldsheet CFT for pure AdS$_3$ is known exactly, our methodology provides a systematic way to construct Horowitz-Polchinski backgrounds to all orders in $\alpha'$. We explicitly construct the leading string star equations in a double expansion in temperature and WZW level $k$ which we then solve numerically.

10.001307

7.619191

10.674861

8.695516

8.465875

9.694524

9.654235

8.820602

8.730649

11.59582

8.044988

8.676404

10.023104

8.272029

8.597643

9.134965

8.761721

8.565198

8.77917

10.567496

8.529316

2112.12107

Andrei Constantin

Callum Brodie, Andrei Constantin, James Gray, Andre Lukas, Fabian Ruehle

Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology

9 pages, 3 figures, based on a talk given by AC at the Nankai Symposium on Mathematical Dialogues, August 2021

null

hep-th math.AG

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

Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact manifolds. Although standard algorithmic techniques exist for performing cohomology calculations, they are laborious and ill-suited for scanning over large sets of string compactifications to find those most relevant to particle physics. In this article we review some recent progress in deriving closed-form expressions for line bundle cohomology and discuss some applications to string phenomenology.

[ { "created": "Wed, 22 Dec 2021 18:10:04 GMT", "version": "v1" }, { "created": "Sun, 17 Apr 2022 19:24:57 GMT", "version": "v2" } ]

2022-04-19

[ [ "Brodie", "Callum", "" ], [ "Constantin", "Andrei", "" ], [ "Gray", "James", "" ], [ "Lukas", "Andre", "" ], [ "Ruehle", "Fabian", "" ] ]

Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact manifolds. Although standard algorithmic techniques exist for performing cohomology calculations, they are laborious and ill-suited for scanning over large sets of string compactifications to find those most relevant to particle physics. In this article we review some recent progress in deriving closed-form expressions for line bundle cohomology and discuss some applications to string phenomenology.

10.123008

8.885388

9.334015

8.884188

9.143626

9.308646

9.379412

10.019039

9.121789

11.077028

8.714194

8.844364

9.948342

9.285357

9.110353

9.081061

8.834332

8.815136

9.102781

9.753061

8.885988

2312.13093

Jingping Li

An effective field theory of damped ferromagnetic systems

14 pages; no figures

null

hep-th cond-mat.mes-hall hep-ph nucl-th

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

Using the in-in formalism, we generalize the recently constructed magnetoelastic EFT arXiv:2112.13873 [hep-th] to describe the damping dynamics of ferromagnetic systems at long wavelengths. We find that the standard Gilbert damping term naturally arises as the simplest leading-order symmetry-consistent non-conservative contribution within the in-in framework. The EFT is easily generalized to scenarios with anisotropy and inhomogeneity. In particular, we find the classic Landau-Lifshitz damping term emerges when isotropy is broken by a constant external background field. This provides a first principle explanation for distinguishing the two types of damping dynamics that were originally constructed phenomenologically. Furthermore, the EFT framework could also incorporate intrinsic anisotropy of the material in a straightforward way using the spurion method. For systems with inhomogeneity such as nontrivial spin textures, we find that the leading order derivative correction yields the generalized Gilbert damping equations that were found in condensed matter literature. This shows that the EFT approach enables us to derive the form of higher-derivative-order corrections in a systematic way. Lastly, using the phonon-magnon coupling deduced in the magnetoelastic EFT, we are able to make a prediction for the generic form of the phononic contribution to the damping equation.

[ { "created": "Wed, 20 Dec 2023 15:15:41 GMT", "version": "v1" } ]

2023-12-21

[ [ "Li", "Jingping", "" ] ]

Using the in-in formalism, we generalize the recently constructed magnetoelastic EFT arXiv:2112.13873 [hep-th] to describe the damping dynamics of ferromagnetic systems at long wavelengths. We find that the standard Gilbert damping term naturally arises as the simplest leading-order symmetry-consistent non-conservative contribution within the in-in framework. The EFT is easily generalized to scenarios with anisotropy and inhomogeneity. In particular, we find the classic Landau-Lifshitz damping term emerges when isotropy is broken by a constant external background field. This provides a first principle explanation for distinguishing the two types of damping dynamics that were originally constructed phenomenologically. Furthermore, the EFT framework could also incorporate intrinsic anisotropy of the material in a straightforward way using the spurion method. For systems with inhomogeneity such as nontrivial spin textures, we find that the leading order derivative correction yields the generalized Gilbert damping equations that were found in condensed matter literature. This shows that the EFT approach enables us to derive the form of higher-derivative-order corrections in a systematic way. Lastly, using the phonon-magnon coupling deduced in the magnetoelastic EFT, we are able to make a prediction for the generic form of the phononic contribution to the damping equation.

10.907331

10.596288

11.31116

10.692822

11.02209

10.79388

10.901151

10.988194

10.665746

12.125449

10.870727

10.349443

10.916835

10.405519

10.297541

10.380575

10.45463

10.419752

10.531245

11.006845

10.618553

1412.2838

Sugumi Kanno

Sugumi Kanno, Jonathan P. Shock, Jiro Soda

Entanglement negativity in the multiverse

25 pages, 8 figures. References and one figure added

JCAP 1503 (2015) 03, 015

10.1088/1475-7516/2015/03/015

KOBE-TH-14-12, QGASLAB-14-06

hep-th gr-qc

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

We explore quantum entanglement between two causally disconnected regions in the multiverse. We first consider a free massive scalar field, and compute the entanglement negativity between two causally separated open charts in de Sitter space. The qualitative feature of it turns out to be in agreement with that of the entanglement entropy. We then introduce two observers who determine the entanglement between two causally disconnected de Sitter spaces. When one of the observers remains constrained to a region of the open chart in a de Sitter space, we find that the scale dependence enters into the entanglement. We show that a state which is initially maximally entangled becomes more entangled or less entangled on large scales depending on the mass of the scalar field and recovers the initial entanglement in the small scale limit. We argue that quantum entanglement may provide some evidence for the existence of the multiverse.

[ { "created": "Tue, 9 Dec 2014 02:37:53 GMT", "version": "v1" }, { "created": "Fri, 19 Dec 2014 17:03:37 GMT", "version": "v2" } ]

2015-07-20

[ [ "Kanno", "Sugumi", "" ], [ "Shock", "Jonathan P.", "" ], [ "Soda", "Jiro", "" ] ]

We explore quantum entanglement between two causally disconnected regions in the multiverse. We first consider a free massive scalar field, and compute the entanglement negativity between two causally separated open charts in de Sitter space. The qualitative feature of it turns out to be in agreement with that of the entanglement entropy. We then introduce two observers who determine the entanglement between two causally disconnected de Sitter spaces. When one of the observers remains constrained to a region of the open chart in a de Sitter space, we find that the scale dependence enters into the entanglement. We show that a state which is initially maximally entangled becomes more entangled or less entangled on large scales depending on the mass of the scalar field and recovers the initial entanglement in the small scale limit. We argue that quantum entanglement may provide some evidence for the existence of the multiverse.

7.167447

6.695364

6.539678

6.442413

7.018026

7.058362

6.852376

7.038273

6.668565

6.853395

6.544186

6.932247

7.10012

6.760842

7.030369

6.877437

6.814754

6.873096

6.9024

7.002034

6.676445

hep-th/9806090

Marian Stanichkov

D.Fioravanti, M.Stanishkov

On the Null Vectors in the Spectra of the 2D Integrable Hierarchies

15 pages, LATEX file, to appear in Phys.Lett.B

Phys.Lett.B430:109-119,1998

10.1016/S0370-2693(98)00480-8

DTP-98-17, PM/98-09

hep-th

null

We propose an alternative description of the spectrum of local fields in the classical limit of the integrable quantum field theories. It is close to similar constructions used in the geometrical treatment of W-gravities. Our approach provides a systematic way of deriving the null-vectors that appear in this construction. We present explicit results for the case of the A_1^{1}-(m)KdV and the A_2^{2}-(m)KdV hierarchies, different classical limits of 2D CFT's. In the former case our results coincide with the classical limit of the construction of Babelon, Bernard and Smirnov.Some hints about quantization and off-critical treatment are also given.

[ { "created": "Thu, 11 Jun 1998 15:57:34 GMT", "version": "v1" } ]

2014-11-18

[ [ "Fioravanti", "D.", "" ], [ "Stanishkov", "M.", "" ] ]

We propose an alternative description of the spectrum of local fields in the classical limit of the integrable quantum field theories. It is close to similar constructions used in the geometrical treatment of W-gravities. Our approach provides a systematic way of deriving the null-vectors that appear in this construction. We present explicit results for the case of the A_1^{1}-(m)KdV and the A_2^{2}-(m)KdV hierarchies, different classical limits of 2D CFT's. In the former case our results coincide with the classical limit of the construction of Babelon, Bernard and Smirnov.Some hints about quantization and off-critical treatment are also given.

10.788979

9.458291

13.777638

10.025121

10.479246

10.417363

12.424609

10.550772

9.776473

13.691145

9.659334

10.257312

11.573895

10.085917

10.378484

10.404413

10.107096

9.928723

9.946696

11.478396

9.853643

0708.2058

Mohammad M. Sheikh-Jabbari

M. Ali-Akbari, M. M. Sheikh-Jabbari

Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field

32 pages, 1 eps figure; v2: Presentation of derivation of light-cone Hamiltonian improved, Refs added

JHEP 0710:043,2007

10.1088/1126-6708/2007/10/043

IPM/P-2007/039, SUT-P-07-2a

hep-th

null

We consider D3-brane action in the maximally supersymmetric type IIB plane-wave background. Upon fixing the light-cone gauge, we obtain the light-cone Hamiltonian which is manifestly supersymmetric. The 1/2 BPS solutions of this theory (solutions which preserve 16 supercharges) are either of the form of spherical three branes, the giant gravitons, or zero size point like branes. We then construct specific classes of 1/4 BPS solutions of this theory in which static electric field on the brane is turned on. These solutions are deformations about either of the two 1/2 BPS solutions. In particular, we study in some detail 1/4 BPS configurations with electric dipole on the three sphere giant, i.e. BIons on the giant gravitons, which we hence call BIGGons. We also study BPS configurations corresponding to turning on a background uniform constant electric field. As a result of this background electric field the three sphere giant is deformed to squashed sphere, while the zero size point like branes turn into circular or straight fundamental strings in the plane-wave background, with their tension equal to the background electric field.

[ { "created": "Wed, 15 Aug 2007 15:16:45 GMT", "version": "v1" }, { "created": "Sat, 25 Aug 2007 13:26:34 GMT", "version": "v2" } ]

2009-06-11

[ [ "Ali-Akbari", "M.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

We consider D3-brane action in the maximally supersymmetric type IIB plane-wave background. Upon fixing the light-cone gauge, we obtain the light-cone Hamiltonian which is manifestly supersymmetric. The 1/2 BPS solutions of this theory (solutions which preserve 16 supercharges) are either of the form of spherical three branes, the giant gravitons, or zero size point like branes. We then construct specific classes of 1/4 BPS solutions of this theory in which static electric field on the brane is turned on. These solutions are deformations about either of the two 1/2 BPS solutions. In particular, we study in some detail 1/4 BPS configurations with electric dipole on the three sphere giant, i.e. BIons on the giant gravitons, which we hence call BIGGons. We also study BPS configurations corresponding to turning on a background uniform constant electric field. As a result of this background electric field the three sphere giant is deformed to squashed sphere, while the zero size point like branes turn into circular or straight fundamental strings in the plane-wave background, with their tension equal to the background electric field.

7.496332

7.350825

8.657057

7.341952

7.354365

7.151645

6.922114

7.073706

7.135757

9.380662

6.847871

7.054754

7.663078

7.195649

7.255093

6.946274

7.11919

7.259327

7.073391

7.66082

7.152299

hep-th/0506077

Haitang Yang

Haitang Yang and Barton Zwiebach

A Closed String Tachyon Vacuum ?

32 pages, 4 figures, LaTeX. Replaced version: three new references added. V3: two same interactions in eqn. (2.26) were combined. v4: a mistake in equation (A.8) corrected

JHEP 0509:054,2005

10.1088/1126-6708/2005/09/054

MIT-CTP-3588

hep-th

null

In bosonic closed string field theory the "tachyon potential" is a potential for the tachyon, the dilaton, and an infinite set of massive fields. Earlier computations of the potential did not include the dilaton and the critical point formed by the quadratic and cubic interactions was destroyed by the quartic tachyon term. We include the dilaton contributions to the potential and find that a critical point survives and appears to become more shallow. We are led to consider the existence of a closed string tachyon vacuum, a critical point with zero action that represents a state where space-time ceases to be dynamical. Some evidence for this interpretation is found from the study of the coupled metric-dilaton-tachyon effective field equations, which exhibit rolling solutions in which the dilaton runs to strong coupling and the Einstein metric undergoes collapse.

[ { "created": "Thu, 9 Jun 2005 20:54:00 GMT", "version": "v1" }, { "created": "Tue, 21 Jun 2005 00:56:42 GMT", "version": "v2" }, { "created": "Sun, 24 Jul 2005 22:19:26 GMT", "version": "v3" }, { "created": "Tue, 26 Jul 2005 18:53:30 GMT", "version": "v4" } ]

2010-02-03

[ [ "Yang", "Haitang", "" ], [ "Zwiebach", "Barton", "" ] ]

In bosonic closed string field theory the "tachyon potential" is a potential for the tachyon, the dilaton, and an infinite set of massive fields. Earlier computations of the potential did not include the dilaton and the critical point formed by the quadratic and cubic interactions was destroyed by the quartic tachyon term. We include the dilaton contributions to the potential and find that a critical point survives and appears to become more shallow. We are led to consider the existence of a closed string tachyon vacuum, a critical point with zero action that represents a state where space-time ceases to be dynamical. Some evidence for this interpretation is found from the study of the coupled metric-dilaton-tachyon effective field equations, which exhibit rolling solutions in which the dilaton runs to strong coupling and the Einstein metric undergoes collapse.

10.842877

10.448921

10.509733

10.109486

11.406522

10.817733

10.974442

10.655125

9.937373

13.663867

9.797347

10.031098

10.078328

9.887079

9.903584

10.356917

10.411696

9.893229

10.030393

9.852946

9.988445

hep-th/9404102

Ko Okumura

K. Okumura

Effective actions of local composite operators --- case of $\varphi^4$ theory, itinerant electron model, and QED

(okumura@rk.phys.keio.ac.jp), 46p., LATEX, (figures are available on request)

Int.J.Mod.Phys. A11 (1996) 65-110

10.1142/S0217751X96000043

null

hep-th cond-mat

null

A compact graph rule for the effective action $\Gamma[\phi]$ of a local composite operator is given in this paper. This long-standing problem of obtaining $\Gamma[\phi]$ in this case is solved directly without using the auxiliary field. The rule is first deduced with help of the inversion method, which is a technique for making the Legendre transformation perturbatively. It is then proved by using a topological relation and also by the sum-up rule. Explicitly derived are the rules for the effective action of $\langle \varphi(x)^2 \rangle$ in the $\varphi^4$ theory, of the number density $\langle n_{{\bf r}\sigma} \rangle$ in the itinerant electron model, and of the gauge invariant operator $\langle \bar{\psi}\gamma^\mu\psi \rangle$ in QED.

[ { "created": "Mon, 18 Apr 1994 03:44:26 GMT", "version": "v1" } ]

2015-06-26

[ [ "Okumura", "K.", "" ] ]

A compact graph rule for the effective action $\Gamma[\phi]$ of a local composite operator is given in this paper. This long-standing problem of obtaining $\Gamma[\phi]$ in this case is solved directly without using the auxiliary field. The rule is first deduced with help of the inversion method, which is a technique for making the Legendre transformation perturbatively. It is then proved by using a topological relation and also by the sum-up rule. Explicitly derived are the rules for the effective action of $\langle \varphi(x)^2 \rangle$ in the $\varphi^4$ theory, of the number density $\langle n_{{\bf r}\sigma} \rangle$ in the itinerant electron model, and of the gauge invariant operator $\langle \bar{\psi}\gamma^\mu\psi \rangle$ in QED.

9.418502

9.320143

9.376847

9.18749

9.2774

10.410341

10.484228

9.187416

8.492789

10.081037

9.281716

8.724109

9.115901

8.724781

9.049047

8.743086

8.762506

8.811261

8.922634

9.072997

8.946175

hep-th/0406141

J\'er\'emie Vinet

J\'er\'emie Vinet and James M. Cline

Can codimension-two branes solve the cosmological constant problem?

Revtex4, 17 pages, references added, typos corrected, minor points clarified. Matches published version

Phys.Rev.D70:083514,2004

10.1103/PhysRevD.70.083514

null

hep-th astro-ph gr-qc hep-ph

null

It has been suggested that codimension-two braneworlds might naturally explain the vanishing of the 4D effective cosmological constant, due to the automatic relation between the deficit angle and the brane tension. To investigate whether this cancellation happens dynamically, and within the context of a realistic cosmology, we study a codimension-two braneworld with spherical extra dimensions compactified by magnetic flux. Assuming Einstein gravity, we show that when the brane contains matter with an arbitrary equation of state, the 4D metric components are not regular at the brane, unless the brane has nonzero thickness. We construct explicit 6D solutions with thick branes, treating the brane matter as a perturbation, and find that the universe expands consistently with standard Friedmann-Robertson-Walker (FRW) cosmology. The relation between the brane tension and the bulk deficit angle becomes $\Delta=2\pi G_6(\rho-3 p)$ for a general equation of state. However, this relation does not imply a self-tuning of the effective 4D cosmological constant to zero; perturbations of the brane tension in a static solution lead to deSitter or anti-deSitter braneworlds. Our results thus confirm other recent work showing that codimension-two braneworlds in nonsupersymmetric Einstein gravity do not lead to a dynamical relaxation of the cosmological constant, but they leave open the possibility that supersymmetric versions can be compatible with self-tuning.

[ { "created": "Wed, 16 Jun 2004 19:51:41 GMT", "version": "v1" }, { "created": "Mon, 18 Oct 2004 12:41:17 GMT", "version": "v2" } ]

2008-11-26

[ [ "Vinet", "Jérémie", "" ], [ "Cline", "James M.", "" ] ]

It has been suggested that codimension-two braneworlds might naturally explain the vanishing of the 4D effective cosmological constant, due to the automatic relation between the deficit angle and the brane tension. To investigate whether this cancellation happens dynamically, and within the context of a realistic cosmology, we study a codimension-two braneworld with spherical extra dimensions compactified by magnetic flux. Assuming Einstein gravity, we show that when the brane contains matter with an arbitrary equation of state, the 4D metric components are not regular at the brane, unless the brane has nonzero thickness. We construct explicit 6D solutions with thick branes, treating the brane matter as a perturbation, and find that the universe expands consistently with standard Friedmann-Robertson-Walker (FRW) cosmology. The relation between the brane tension and the bulk deficit angle becomes $\Delta=2\pi G_6(\rho-3 p)$ for a general equation of state. However, this relation does not imply a self-tuning of the effective 4D cosmological constant to zero; perturbations of the brane tension in a static solution lead to deSitter or anti-deSitter braneworlds. Our results thus confirm other recent work showing that codimension-two braneworlds in nonsupersymmetric Einstein gravity do not lead to a dynamical relaxation of the cosmological constant, but they leave open the possibility that supersymmetric versions can be compatible with self-tuning.

6.419904

6.401992

6.57164

6.267466

6.519279

6.410012

6.378006

6.214344

6.380139

6.777373

5.999103

6.002879

6.10156

6.06916

6.027255

6.082273

6.10928

6.019849

5.88347

6.170661

6.102855

1105.3687

Akikazu Hashimoto

Comments on domain walls in holographic duals of mass deformed conformal field theories

24 pages, 7 figures

JHEP 1107:031,2011

10.1007/JHEP07(2011)031

MAD-TH-11-05

hep-th

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

We consider M-theory backgrounds which are gravity duals of mass deformed superconformal field theories in 2+1 dimensions. The specific examples we consider are the B_8, Stenzel, and the Lin-Lunin-Maldacena geometries. These geometries contain compact 4-cycles on which one can wrap an M5-brane to create an object which behaves effectively like a domain wall in 2+1 dimensions. We review the quantization of flux and charges of these M-theory backgrounds, and confirm that the back reaction of the domain wall shifts the charges in a manner consistent with these quantization conditions, paying particular attention to various subtle half integer shifts of the charge lattice which arise as a part of the complete story. We also describe a configuration of a stationary, merging M2/anti M2 pair in the Lin-Lunin-Maldacena background, which can also be interpreted as a domain wall, and compare its basic properties with the expectations from its field theory description.

[ { "created": "Wed, 18 May 2011 16:56:38 GMT", "version": "v1" } ]

2011-07-13

[ [ "Hashimoto", "Akikazu", "" ] ]

We consider M-theory backgrounds which are gravity duals of mass deformed superconformal field theories in 2+1 dimensions. The specific examples we consider are the B_8, Stenzel, and the Lin-Lunin-Maldacena geometries. These geometries contain compact 4-cycles on which one can wrap an M5-brane to create an object which behaves effectively like a domain wall in 2+1 dimensions. We review the quantization of flux and charges of these M-theory backgrounds, and confirm that the back reaction of the domain wall shifts the charges in a manner consistent with these quantization conditions, paying particular attention to various subtle half integer shifts of the charge lattice which arise as a part of the complete story. We also describe a configuration of a stationary, merging M2/anti M2 pair in the Lin-Lunin-Maldacena background, which can also be interpreted as a domain wall, and compare its basic properties with the expectations from its field theory description.

9.279622

9.444543

11.495669

8.614285

8.679784

8.924877

8.677848

8.763453

8.515646

10.723151

8.918412

9.009722

9.462549

8.817213

8.743348

8.723619

8.827791

8.832462

8.800856

9.726651

8.769114

1402.3767

Soon-Tae Hong

De Rham Cohomology of $CP^{1}$ model with Hopf term

3 pages

null

hep-th

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

We investigate the $CP^{1}$ model possessing the Hopf term which respects the second class constraints and admits the well defined the BRST operator $Q$. Using the operator $Q$, we explicitly construct its de Rham cohomology group by deriving the ensuing quotient group via both the collections of all $Q$-closed and $Q$-exact ghost number $p$-forms. Moreover, we study the $CP^{1}$ model without the Hopf term to evaluate the ensuing effect of the Hopf term on the cohomology group. We find that the Hopf term effects on the de Rham cohomology originate from the Hilbert space modified by this Hopf term.

[ { "created": "Sun, 16 Feb 2014 07:01:55 GMT", "version": "v1" }, { "created": "Sun, 24 May 2015 10:05:31 GMT", "version": "v2" } ]

2015-05-26

[ [ "Hong", "Soon-Tae", "" ] ]

We investigate the $CP^{1}$ model possessing the Hopf term which respects the second class constraints and admits the well defined the BRST operator $Q$. Using the operator $Q$, we explicitly construct its de Rham cohomology group by deriving the ensuing quotient group via both the collections of all $Q$-closed and $Q$-exact ghost number $p$-forms. Moreover, we study the $CP^{1}$ model without the Hopf term to evaluate the ensuing effect of the Hopf term on the cohomology group. We find that the Hopf term effects on the de Rham cohomology originate from the Hilbert space modified by this Hopf term.

10.626646

10.15494

12.604673

9.798345

10.540265

9.210093

9.827083

9.419551

9.927075

11.081769

9.385357

9.206276

10.5742

9.543219

9.465106

9.704135

9.852791

9.669455

9.561541

10.893686

9.306089

0805.1339

Adi Armoni

Beyond The Quenched (or Probe Brane) Approximation in Lattice (or Holographic) QCD

7 pages, LaTex. 2 eps figures. v2: a discussion added about the holographic form of the method. v3: added references to lattice literature. To appear in Phys.Rev.D

null

10.1103/PhysRevD.78.065017

null

hep-th hep-lat

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

We propose a method to improve the quenched approximation. The method, based on the worldline formalism, takes into account effects of quark loops. The idea is useful mostly for AdS/CFT (holographic) calculations. To demonstrate the method we estimate screening (string breaking) effects by a simple holographic calculation.

[ { "created": "Fri, 9 May 2008 12:46:43 GMT", "version": "v1" }, { "created": "Wed, 14 May 2008 09:16:38 GMT", "version": "v2" }, { "created": "Wed, 13 Aug 2008 08:54:22 GMT", "version": "v3" } ]

2009-11-13

[ [ "Armoni", "Adi", "" ] ]

We propose a method to improve the quenched approximation. The method, based on the worldline formalism, takes into account effects of quark loops. The idea is useful mostly for AdS/CFT (holographic) calculations. To demonstrate the method we estimate screening (string breaking) effects by a simple holographic calculation.

15.354697

12.352704

12.951547

11.873108

13.374714

13.631098

13.665887

13.614193

11.946254

12.257227

13.340087

12.663393

12.577484

12.112686

11.959634

13.026024

12.116915

12.741443

11.979672

12.541019

14.070815

2210.17537

Konstantinos Anagnostopoulos N

Konstantinos N. Anagnostopoulos (1), Takehiro Azuma (2), Kohta Hatakeyama (3), Mitsuaki Hirasawa (4), Yuta Ito (5), Jun Nishimura (3 and 6), Stratos Kovalkov Papadoudis (1), Asato Tsuchiya (7) ((1) Physics Department, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, (2) Institute for Fundamental Sciences, Setsunan University, (3) Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), (4) Sezione di Milano-Bicocca, Istituto Nazionale di Fisica Nucleare (INFN), (5) National Institute of Technology, Tokuyama College, (6) Department of Particle and Nuclear Physics, School of High Energy Accelerator Science, Graduate University for Advanced Studies (SOKENDAI), (7) Department of Physics, Shizuoka University)

Progress in the numerical studies of the type IIB matrix model

23 pages, contribution to the EPJ ST Special Issue: Noncommutativity and Physics, see https://www.epj.org/open-calls-for-papers/85-epj-st/2280-epjst-special-issue-noncommutativity-and-physics

null

10.1140/epjs/s11734-023-00849-x

KEK-TH-2470

hep-th

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

The type IIB matrix model, also known as the IKKT model, has been proposed as a promising candidate for a non-perturbative formulation of superstring theory. Based on this proposal, various attempts have been made to explain how our four-dimensional space-time can emerge dynamically from superstring theory. In this article, we review the progress in numerical studies on the type IIB matrix model. We particularly focus on the most recent results for the Euclidean and Lorentzian versions, which are obtained using the complex Langevin method to overcome the sign problem. We also review the earlier results obtained using conventional Monte Carlo methods and clarify the relationship among different calculations.

[ { "created": "Mon, 31 Oct 2022 17:53:30 GMT", "version": "v1" }, { "created": "Tue, 1 Nov 2022 10:47:32 GMT", "version": "v2" } ]

2023-06-14

[ [ "Anagnostopoulos", "Konstantinos N.", "", "3 and 6" ], [ "Azuma", "Takehiro", "", "3 and 6" ], [ "Hatakeyama", "Kohta", "", "3 and 6" ], [ "Hirasawa", "Mitsuaki", "", "3 and 6" ], [ "Ito", "Yuta", "", "3 and 6" ], [ "Nishimura", "Jun", "", "3 and 6" ], [ "Papadoudis", "Stratos Kovalkov", "" ], [ "Tsuchiya", "Asato", "" ] ]

The type IIB matrix model, also known as the IKKT model, has been proposed as a promising candidate for a non-perturbative formulation of superstring theory. Based on this proposal, various attempts have been made to explain how our four-dimensional space-time can emerge dynamically from superstring theory. In this article, we review the progress in numerical studies on the type IIB matrix model. We particularly focus on the most recent results for the Euclidean and Lorentzian versions, which are obtained using the complex Langevin method to overcome the sign problem. We also review the earlier results obtained using conventional Monte Carlo methods and clarify the relationship among different calculations.

5.346195

4.871493

5.723163

4.653543

5.069393

4.83028

4.657671

4.739383

4.585531

5.781003

4.641527

4.803702

5.120279

4.767852

4.696146

4.733478

4.755249

4.80386

4.887156

5.025494

4.904474

1807.05325

Madad Ali Valuyan

M. A. Valuyan

The Casimir Energy For Scalar Field With Mixed Boundary Condition

7 pages, 3 figures, Accepted for publication, International Journal of Geometric Methods in Modern Physics (2018)

Int. J Geo. Methods in Mod. Phys. Vol. 15, No. 10, 1850172 (2018)

10.1142/S0219887818501724

null

hep-th

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

In the present study, the first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann) between two points in \phi^4 theory was computed. Two issues in performing the calculations in this work are essential: to renormalize the bare parameters of the problem, a systematic method was employed, allowing all influences from the boundary conditions to be imported in all elements of the renormalization program. This idea yields our counterterms appeared in the renormalization program to be position-dependent. Using the Box Subtraction Scheme (BSS) as a regularization technique is the other noteworthy point in the calculation. In this scheme, by subtracting the vacuum energies of two similar configurations from each other, regularizing divergent expressions and their removal process were significantly facilitated. All the obtained answers for the Casimir energy with the mixed boundary condition were consistent with well-known physical grounds. We also compared the Casimir energy for massive scalar field confined with four types of boundary conditions (Dirichlet, Neumann, mixed of them and Periodic) in 1+1 dimensions with each other, and the sign and magnitude of their values were discussed.

[ { "created": "Sat, 14 Jul 2018 03:27:18 GMT", "version": "v1" } ]

2019-12-10

[ [ "Valuyan", "M. A.", "" ] ]

In the present study, the first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann) between two points in \phi^4 theory was computed. Two issues in performing the calculations in this work are essential: to renormalize the bare parameters of the problem, a systematic method was employed, allowing all influences from the boundary conditions to be imported in all elements of the renormalization program. This idea yields our counterterms appeared in the renormalization program to be position-dependent. Using the Box Subtraction Scheme (BSS) as a regularization technique is the other noteworthy point in the calculation. In this scheme, by subtracting the vacuum energies of two similar configurations from each other, regularizing divergent expressions and their removal process were significantly facilitated. All the obtained answers for the Casimir energy with the mixed boundary condition were consistent with well-known physical grounds. We also compared the Casimir energy for massive scalar field confined with four types of boundary conditions (Dirichlet, Neumann, mixed of them and Periodic) in 1+1 dimensions with each other, and the sign and magnitude of their values were discussed.

12.783604

10.706964

13.468209

11.02393

10.837101

10.341614

9.910855

10.951989

11.055933

14.402961

11.357212

12.040808

12.697617

12.299821

11.996771

11.995495

12.330557

11.975846

11.953901

12.597713

12.178782

hep-th/9901050

Skenderis Kostas

Kostas Skenderis

Black holes and branes in string theory

Erice lecture notes, Latex, 44p; references added; typos corrected

Lect.Notes Phys. 541 (2000) 325-364

null

SPIN-1998/17

hep-th gr-qc

null

This is a set of introductory lecture notes on black holes in string theory. After reviewing some aspects of string theory such as dualities, brane solutions, supersymmetric and non-extremal intersection rules, we analyze in detail extremal and non-extremal 5d black holes. We first present the D-brane counting for extremal black holes. Then we show that 4d and 5d non-extremal black holes can be mapped to the BTZ black hole (times a compact manifold) by means of dualities. The validity of these dualities is analyzed in detail. We present an analysis of the same system in the spirit of the adS/CFT correspondence. In the ``near-horizon'' limit (which is actually a near inner-horizon limit for non-extremal black holes) the black hole reduces again to the BTZ black hole. A state counting is presented in terms of the BTZ black hole.

[ { "created": "Wed, 13 Jan 1999 23:41:36 GMT", "version": "v1" }, { "created": "Tue, 19 Jan 1999 14:08:58 GMT", "version": "v2" }, { "created": "Sat, 27 Feb 1999 11:41:29 GMT", "version": "v3" } ]

2007-05-23

[ [ "Skenderis", "Kostas", "" ] ]

This is a set of introductory lecture notes on black holes in string theory. After reviewing some aspects of string theory such as dualities, brane solutions, supersymmetric and non-extremal intersection rules, we analyze in detail extremal and non-extremal 5d black holes. We first present the D-brane counting for extremal black holes. Then we show that 4d and 5d non-extremal black holes can be mapped to the BTZ black hole (times a compact manifold) by means of dualities. The validity of these dualities is analyzed in detail. We present an analysis of the same system in the spirit of the adS/CFT correspondence. In the ``near-horizon'' limit (which is actually a near inner-horizon limit for non-extremal black holes) the black hole reduces again to the BTZ black hole. A state counting is presented in terms of the BTZ black hole.

7.186746

6.897324

6.958243

6.699004

7.085142

6.760287

6.832448

6.573431

6.700277

7.785463

6.647099

6.467733

6.886385

6.529267

6.622747

6.700308

6.49428

6.692142

6.639534

6.897075

6.584173

hep-th/0307103

El Hassan Saidi

Malika Ait Benhaddou and El Hassan Saidi

Explicit Analysis of Kahler Deformations in 4D N=1 Supersymmetric Quiver Theories

12 pages, 1 figure

Physics Letters B575(2003)100-110

10.1016/j.physletb.2003.09.029

Lab/UFR-HEP0306/GNPHE/0307

hep-th

null

Starting from the $\mathcal{N}=2$ SYM$_{4}$ quiver theory living on wrapped $% N_{i}D5$ branes around $S_{i}^{2}$ spheres of deformed ADE fibered Calabi-Yau threefolds (CY3) and considering deformations using \textit{% massive} vector multiplets, we explicitly build a new class of $\mathcal{N}% =1 $ quiver gauge theories. In these models, the quiver gauge group $% \prod_{i}U(N_{i}) $ is spontaneously broken down to $% \prod_{i}SU(N_{i}) $ and Kahler deformations are shown to be given by the real part of the integral $(2,1) $ form of CY3. We also give the superfield correspondence between the $\mathcal{N}=1$ quiver gauge models derived here and those constructed in hep-th/0108120 using complex deformations. Others aspects of these two dual $\mathcal{N}=1$ supersymmetric field theories are discussed.

[ { "created": "Fri, 11 Jul 2003 08:05:51 GMT", "version": "v1" }, { "created": "Tue, 25 Nov 2003 14:46:02 GMT", "version": "v2" } ]

2015-06-26

[ [ "Benhaddou", "Malika Ait", "" ], [ "Saidi", "El Hassan", "" ] ]

Starting from the $\mathcal{N}=2$ SYM$_{4}$ quiver theory living on wrapped $% N_{i}D5$ branes around $S_{i}^{2}$ spheres of deformed ADE fibered Calabi-Yau threefolds (CY3) and considering deformations using \textit{% massive} vector multiplets, we explicitly build a new class of $\mathcal{N}% =1 $ quiver gauge theories. In these models, the quiver gauge group $% \prod_{i}U(N_{i}) $ is spontaneously broken down to $% \prod_{i}SU(N_{i}) $ and Kahler deformations are shown to be given by the real part of the integral $(2,1) $ form of CY3. We also give the superfield correspondence between the $\mathcal{N}=1$ quiver gauge models derived here and those constructed in hep-th/0108120 using complex deformations. Others aspects of these two dual $\mathcal{N}=1$ supersymmetric field theories are discussed.

8.246353

7.562838

9.394715

7.557097

8.258165

8.079725

7.631371

7.920822

7.99481

10.126368

7.545809

8.22801

8.328829

8.181874

7.891755

7.895461

7.933877

7.819021

8.008693

8.541452

7.843478

0810.0527

Jorge Bellor\'in

Jorge Bellorin

Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings

Minor changes in wording and some typos corrected. Version to appear in Class. Quantum Grav. 38 pages

Class.Quant.Grav.26:195012,2009

10.1088/0264-9381/26/19/195012

null

hep-th

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

We perform the characterization program for the supersymmetric configurations and solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general non-Abelian gaugins. By using the conditions yielded by the characterization program, new exact supersymmetric solutions are found in the $SO(4,1)/SO(4)$ model for the hyperscalars and with $SU(2)\times U(1)$ as the gauge group. The solutions also content non-trivial vector and massive tensor fields, the latter being charged under the U(1) sector of the gauge group and with selfdual spatial components. These solutions are black holes with $AdS_2 \times S^3$ near horizon geometry in the gauged version of the theory and for the ungauged case we found naked singularities. We also analyze supersymmetric solutions with only the scalars $\phi^x$ of the vector/tensor multiplets and the metric as the non-trivial fields. We find that only in the null class the scalars $\phi^x$ can be non-constant and for the case of constant $\phi^x$ we refine the classification in terms of the contributions to the scalar potential.

[ { "created": "Thu, 2 Oct 2008 19:57:32 GMT", "version": "v1" }, { "created": "Fri, 3 Oct 2008 14:10:23 GMT", "version": "v2" }, { "created": "Wed, 15 Apr 2009 20:27:17 GMT", "version": "v3" }, { "created": "Tue, 22 Sep 2009 18:11:19 GMT", "version": "v4" } ]

2009-10-02

[ [ "Bellorin", "Jorge", "" ] ]

We perform the characterization program for the supersymmetric configurations and solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general non-Abelian gaugins. By using the conditions yielded by the characterization program, new exact supersymmetric solutions are found in the $SO(4,1)/SO(4)$ model for the hyperscalars and with $SU(2)\times U(1)$ as the gauge group. The solutions also content non-trivial vector and massive tensor fields, the latter being charged under the U(1) sector of the gauge group and with selfdual spatial components. These solutions are black holes with $AdS_2 \times S^3$ near horizon geometry in the gauged version of the theory and for the ungauged case we found naked singularities. We also analyze supersymmetric solutions with only the scalars $\phi^x$ of the vector/tensor multiplets and the metric as the non-trivial fields. We find that only in the null class the scalars $\phi^x$ can be non-constant and for the case of constant $\phi^x$ we refine the classification in terms of the contributions to the scalar potential.

7.92788

7.638653

8.522681

7.486684

7.688952

7.64922

7.862598

7.581707

7.501188

8.913003

7.764869

7.340818

7.948148

7.316393

7.416775

7.336161

7.466883

7.508722

7.510696

7.951647

7.319421

1912.02353

Oswaldo Monteiro Del Cima

W.B. De Lima, O.M. Del Cima, E.S. Miranda

On the electron-polaron--electron-polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics

8 pages, 2 figures, Eur. Phys. J. B93 (2020) 187

Eur. Phys. J. B93 (2020) 187

10.1140/epjb/e2020-100594-7

null

hep-th cond-mat.mtrl-sci cond-mat.str-el cond-mat.supr-con quant-ph

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

The parity-preserving $U(1)\times U(1)$ massless QED$_3$ is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses and charges of the quasiparticles (electron-polaron, hole-polaron, photon and N\'eel quasiparticles) which emerge from the model are discussed. The four-fold broken degeneracy of the Landau levels, similar as the one experimentally observed in pristine graphene submitted to high applied external magnetic fields, is obtained. Furthermore, the model exhibits zero-energy Landau level indicating a kind of anomalous quantum Hall effect. The electron-polaron--electron-polaron scattering potentials in $s$- and $p$-wave states mediated by photon and N\'eel quasiparticles are computed and analyzed. Finally, the model foresees that two electron-polarons ($s$-wave state) belonging to inequivalent $\mathbf{K}$ and $\mathbf{K^\prime}$ points in the Brillouin zone might exhibit attractive interaction, while two electron-polarons ($p$-wave state) lying both either in $\mathbf{K}$ or in $\mathbf{K^\prime}$ points experience repulsive interaction.

[ { "created": "Thu, 5 Dec 2019 02:47:21 GMT", "version": "v1" }, { "created": "Mon, 9 Dec 2019 22:05:33 GMT", "version": "v2" }, { "created": "Mon, 5 Oct 2020 18:14:21 GMT", "version": "v3" } ]

2020-10-07

[ [ "De Lima", "W. B.", "" ], [ "Del Cima", "O. M.", "" ], [ "Miranda", "E. S.", "" ] ]

The parity-preserving $U(1)\times U(1)$ massless QED$_3$ is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses and charges of the quasiparticles (electron-polaron, hole-polaron, photon and N\'eel quasiparticles) which emerge from the model are discussed. The four-fold broken degeneracy of the Landau levels, similar as the one experimentally observed in pristine graphene submitted to high applied external magnetic fields, is obtained. Furthermore, the model exhibits zero-energy Landau level indicating a kind of anomalous quantum Hall effect. The electron-polaron--electron-polaron scattering potentials in $s$- and $p$-wave states mediated by photon and N\'eel quasiparticles are computed and analyzed. Finally, the model foresees that two electron-polarons ($s$-wave state) belonging to inequivalent $\mathbf{K}$ and $\mathbf{K^\prime}$ points in the Brillouin zone might exhibit attractive interaction, while two electron-polarons ($p$-wave state) lying both either in $\mathbf{K}$ or in $\mathbf{K^\prime}$ points experience repulsive interaction.

7.475801

7.580363

7.943377

7.422163

7.910883

7.351012

7.789529

7.649167

7.250961

7.657648

7.075272

7.139278

7.357465

7.167174

7.348202

7.195694

7.348525

7.158873

7.297649

7.544717

7.091325

1307.7076

Salvatore Mignemi

B. Ivetic, S. Meljanac, S. Mignemi

Classical dynamics on curved Snyder space

12 pages, LaTeX, version published on CQG

null

10.1088/0264-9381/31/10/105010

null

hep-th

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

We study the classical dynamics of a particle in nonrelativistic Snyder-de Sitter space. We show that for spherically symmetric systems, parametrizing the solutions in terms of an auxiliary time variable, which is a function only of the physical time and of the energy and angular momentum of the particles, one can reduce the problem to the equivalent one in classical mechanics. We also discuss a relativistic extension of these results, and a generalization to the case in which the algebra is realized in flat space.

[ { "created": "Fri, 26 Jul 2013 15:40:49 GMT", "version": "v1" }, { "created": "Thu, 12 Jun 2014 15:30:24 GMT", "version": "v2" } ]

2015-06-16

[ [ "Ivetic", "B.", "" ], [ "Meljanac", "S.", "" ], [ "Mignemi", "S.", "" ] ]

We study the classical dynamics of a particle in nonrelativistic Snyder-de Sitter space. We show that for spherically symmetric systems, parametrizing the solutions in terms of an auxiliary time variable, which is a function only of the physical time and of the energy and angular momentum of the particles, one can reduce the problem to the equivalent one in classical mechanics. We also discuss a relativistic extension of these results, and a generalization to the case in which the algebra is realized in flat space.

8.215819

7.468287

7.949738

7.457284

7.057477

7.563819

7.443409

7.380739

7.681438

8.901114

7.845298

7.325889

7.933569

7.795561

7.431455

7.336644

7.519434

7.572635

7.63665

7.754587

7.620083

hep-th/9404061

Alexandr Andrianov

A.A.Andrianov, F.Cannata, J.-P-Dedonder and M.V.Ioffe

Second Order Derivative Supersymmetry and Scattering Problem

19 pages LaTeX, Preprint SPbU-IP-94-03

Int.J.Mod.Phys.A10:2683-2702,1995

10.1142/S0217751X95001261

null

hep-th nucl-th

null

Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher order polynomial in the Hamiltonian. We study scattering amplitudes for that problem. We also study the role of a dilatation of the spatial coordinate leading to a q-deformed supersymmetric algebra. An explicit model for the scattering amplitude is constructed in terms of a hypergeometric function which corresponds to a reflectionless potential with infinitely many bound states.

[ { "created": "Tue, 12 Apr 1994 14:34:09 GMT", "version": "v1" } ]

2010-04-06

[ [ "Andrianov", "A. A.", "" ], [ "Cannata", "F.", "" ], [ "-P-Dedonder", "J.", "" ], [ "Ioffe", "M. V.", "" ] ]

Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher order polynomial in the Hamiltonian. We study scattering amplitudes for that problem. We also study the role of a dilatation of the spatial coordinate leading to a q-deformed supersymmetric algebra. An explicit model for the scattering amplitude is constructed in terms of a hypergeometric function which corresponds to a reflectionless potential with infinitely many bound states.

12.176844

11.876826

13.307793

11.823584

11.649805

11.97985

11.019139

11.964993

11.941859

13.414419

12.039705

11.3144

11.998994

11.655283

11.466496

11.728001

11.280544

11.417085

11.255136

12.449148

11.445882

0911.0386

Gaurav Narain

Gaurav Narain, Roberto Percacci

Renormalization Group Flow in Scalar-Tensor Theories. I

18 pages, 10 figures. v.2: equations in appendix rewritten in more convenient form

null

10.1088/0264-9381/27/7/075001

PI-QG-162

hep-th gr-qc

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

We study the renormalization group flow in a class of scalar-tensor theories involving at most two derivatives of the fields. We show in general that minimal coupling is self consistent, in the sense that when the scalar self couplings are switched off, their beta functions also vanish. Complete, explicit beta functions that could be applied to a variety of cosmological models are given in a five parameter truncation of the theory in $d=4$. In any dimension $d>2$ we find that the flow has only a "Gaussian Matter" fixed point, where all scalar self interactions vanish but Newton's constant and the cosmological constant are nontrivial. The properties of these fixed points can be studied algebraically to some extent. In $d=3$ we also find a gravitationally dressed version of the Wilson-Fisher fixed point, but it seems to have unphysical properties. These findings are in accordance with the hypothesis that these theories are asymptotically safe.

[ { "created": "Mon, 2 Nov 2009 19:54:53 GMT", "version": "v1" }, { "created": "Sun, 13 Dec 2009 23:24:39 GMT", "version": "v2" } ]

2015-05-14

[ [ "Narain", "Gaurav", "" ], [ "Percacci", "Roberto", "" ] ]

We study the renormalization group flow in a class of scalar-tensor theories involving at most two derivatives of the fields. We show in general that minimal coupling is self consistent, in the sense that when the scalar self couplings are switched off, their beta functions also vanish. Complete, explicit beta functions that could be applied to a variety of cosmological models are given in a five parameter truncation of the theory in $d=4$. In any dimension $d>2$ we find that the flow has only a "Gaussian Matter" fixed point, where all scalar self interactions vanish but Newton's constant and the cosmological constant are nontrivial. The properties of these fixed points can be studied algebraically to some extent. In $d=3$ we also find a gravitationally dressed version of the Wilson-Fisher fixed point, but it seems to have unphysical properties. These findings are in accordance with the hypothesis that these theories are asymptotically safe.

8.520967

8.498433

9.045754

8.619257

8.428035

8.13834

8.492866

8.270493

8.301603

8.471754

8.345991

8.304852

8.74934

8.262597

8.435151

8.420198

8.397453

8.377402

8.302144

8.826038

8.064639

1903.09647

Joris Raeymaekers

On tensionless string field theory in AdS$_3$

43 pages. V2: minor changes, references added

null

10.1007/JHEP07(2019)019

null

hep-th

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

We report on progress in formulating a field theory of tensionless strings in $AdS_3$, starting from the dual large-$N$ symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of the theory, the `Higher Spin Square'. The massless higher spin sector is captured by a Chern-Simons gauge field, while the matter sector is described by unfolded equations similar to those appearing in Vasiliev theory. Our equations incorporate the full perturbative spectrum of the theory, including states coming from the twisted sectors, and capture some of the interactions fixed by gauge invariance. We also discuss the spectrum of the bulk theory and explain how linearization around $AdS_3$ gives rise to the expected set of decoupled wave equations. Our results can be generalized to describe bulk duals of other large-$N$ symmetric orbifolds.

[ { "created": "Fri, 22 Mar 2019 18:00:03 GMT", "version": "v1" }, { "created": "Thu, 4 Apr 2019 19:29:34 GMT", "version": "v2" } ]

2020-01-08

[ [ "Raeymaekers", "Joris", "" ] ]

We report on progress in formulating a field theory of tensionless strings in $AdS_3$, starting from the dual large-$N$ symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of the theory, the `Higher Spin Square'. The massless higher spin sector is captured by a Chern-Simons gauge field, while the matter sector is described by unfolded equations similar to those appearing in Vasiliev theory. Our equations incorporate the full perturbative spectrum of the theory, including states coming from the twisted sectors, and capture some of the interactions fixed by gauge invariance. We also discuss the spectrum of the bulk theory and explain how linearization around $AdS_3$ gives rise to the expected set of decoupled wave equations. Our results can be generalized to describe bulk duals of other large-$N$ symmetric orbifolds.

8.370395

8.563731

10.424088

7.91527

8.721536

8.571308

8.584401

8.029222

8.178643

11.629756

8.090875

8.439934

8.746393

8.183004

8.205704

8.176353

8.321923

8.332396

8.082172

8.788791

7.949444

1104.4907

Yasuyuki Hatsuda

Mitsutoshi Fujita, Yasuyuki Hatsuda, Tadashi Takayanagi

Probing AdS Wormholes by Entanglement Entropy

17 pages, 6 figures, v2: references added

null

10.1007/JHEP06(2011)141

null

hep-th gr-qc

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

In this paper, we study the Lorentzian AdS wormhole solutions constructed in arXiv:0808.2481 [hep-th]. Each of them is a classical solution interpolating between an AdS space and a flat space in type IIB supergravity. We calculate the holographic entanglement entropy to probe this geometry. Our analysis shows that there exits a mass gap in its holographic dual gauge theory and that the entanglement between the two boundaries is rather suppressed than that we naively expect for wormholes. We also examine the holographic conductivity on a probe D-brane in this spacetime.

[ { "created": "Tue, 26 Apr 2011 12:55:23 GMT", "version": "v1" }, { "created": "Wed, 11 May 2011 06:48:06 GMT", "version": "v2" } ]

2015-05-28

[ [ "Fujita", "Mitsutoshi", "" ], [ "Hatsuda", "Yasuyuki", "" ], [ "Takayanagi", "Tadashi", "" ] ]

In this paper, we study the Lorentzian AdS wormhole solutions constructed in arXiv:0808.2481 [hep-th]. Each of them is a classical solution interpolating between an AdS space and a flat space in type IIB supergravity. We calculate the holographic entanglement entropy to probe this geometry. Our analysis shows that there exits a mass gap in its holographic dual gauge theory and that the entanglement between the two boundaries is rather suppressed than that we naively expect for wormholes. We also examine the holographic conductivity on a probe D-brane in this spacetime.

8.955342

8.397111

9.101284

8.172048

8.662535

8.047051

8.183861

7.55387

8.007338

11.421375

7.800548

7.951317

8.813463

8.217208

7.962496

8.267511

8.077934

8.180162

8.074951

8.782808

7.977726

hep-th/9911179

Michael Bordag

M. Bordag and D.V. Vassilevich

Casimir force between Chern-Simons surfaces

8 pages, 1 figure

Phys.Lett.A268:75-80,2000

10.1016/S0375-9601(00)00159-6

null

hep-th

null

We calculate the Casimir force between two parallel plates if the boundary conditions for the photons are modified due to presence of the Chern-Simons term. We show that this effect should be measurable within the present experimental technique.

[ { "created": "Tue, 23 Nov 1999 16:37:24 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bordag", "M.", "" ], [ "Vassilevich", "D. V.", "" ] ]

We calculate the Casimir force between two parallel plates if the boundary conditions for the photons are modified due to presence of the Chern-Simons term. We show that this effect should be measurable within the present experimental technique.

10.090605

8.902536

9.855632

9.277932

9.836269

8.629429

9.216582

9.228156

9.449232

10.116398

7.950985

9.504791

9.908925

9.072459

9.370802

9.357747

9.434846

9.134118

8.947644

9.380655

8.720209

hep-th/0103011

B. S. Acharya

Bobby Acharya and Cumrun Vafa

On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions

14 pages, 1 figure, harvmac

null

HUTP-01/A010, RUNHETC-2001-07

hep-th

null

We study the BPS domain walls of supersymmetric Yang-Mills for arbitrary gauge group. We describe the degeneracies of domain walls interpolating between arbitrary pairs of vacua. A recently proposed large N duality sheds light on various aspects of such domain walls. In particular, for the case of G = SU(N) the domain walls correspond to wrapped D-branes giving rise to a 2+1 dimensional U(k) gauge theory on the domain wall with a Chern-Simons term of level N. This leads to a counting of BPS degeneracies of domain walls in agreement with expected results.

[ { "created": "Thu, 1 Mar 2001 22:21:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Acharya", "Bobby", "" ], [ "Vafa", "Cumrun", "" ] ]

We study the BPS domain walls of supersymmetric Yang-Mills for arbitrary gauge group. We describe the degeneracies of domain walls interpolating between arbitrary pairs of vacua. A recently proposed large N duality sheds light on various aspects of such domain walls. In particular, for the case of G = SU(N) the domain walls correspond to wrapped D-branes giving rise to a 2+1 dimensional U(k) gauge theory on the domain wall with a Chern-Simons term of level N. This leads to a counting of BPS degeneracies of domain walls in agreement with expected results.

7.055735

6.731511

7.633676

6.295192

6.419375

6.358016

6.965893

6.729438

6.559035

8.771205

6.401072

6.949827

7.823841

6.911152

6.726255

6.944568

7.111709

7.022787

6.976914

8.015795

6.879875

hep-th/9303068

Michael Martin Nieto

V. Alan Kosteleck\'y, V. I. Man'ko, Michael Martin Nieto, and D. Rodney Truax

Supersymmetry and a Time-Dependent Landau System

47 pages, submitted to Phys. Rev. A, LaTeX, IUHET 243 and LA-UR-93-206

Phys.Rev.A48:951-963,1993

10.1103/PhysRevA.48.951

null

hep-th

null

A general technique is outlined for investigating supersymmetry properties of a charged spin-$\half$ quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to provide a physical realization of a supersymmetric quantum-mechanical system. Group-theoretic methods are used to factorize the relevant Schr\"odinger equations and obtain eigensolutions. The supercoherent states for this system are constructed.

[ { "created": "Wed, 10 Mar 1993 23:56:16 GMT", "version": "v1" }, { "created": "Fri, 12 Mar 1993 17:49:01 GMT", "version": "v2" } ]

2009-09-25

[ [ "Kostelecký", "V. Alan", "" ], [ "Man'ko", "V. I.", "" ], [ "Nieto", "Michael Martin", "" ], [ "Truax", "D. Rodney", "" ] ]

A general technique is outlined for investigating supersymmetry properties of a charged spin-$\half$ quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to provide a physical realization of a supersymmetric quantum-mechanical system. Group-theoretic methods are used to factorize the relevant Schr\"odinger equations and obtain eigensolutions. The supercoherent states for this system are constructed.

9.126775

7.526723

8.619542

8.078344

7.417273

7.126563

7.286132

8.168414

7.969453

8.760251

7.798223

7.938148

8.261163

7.789669

7.659068

7.747337

7.809681

8.106553

8.045172

8.302504

7.949922

hep-th/0307177

James E. Lidsey

Emilio Elizalde, James E. Lidsey, Shinichi Nojiri, Sergei D. Odintsov

Born-Infeld Quantum Condensate as Dark Energy in the Universe

9 pages, no figures. Extended discussion, In Press, Physics Letters B

Phys.Lett.B574:1-7,2003

10.1016/j.physletb.2003.08.074

null

hep-th astro-ph

null

Some cosmological implications of ultraviolet quantum effects leading to a condensation of Born-Infeld matter are considered. It is shown that under very general conditions the quantum condensate can not act as phantom matter if its energy density is positive. On the other hand, it behaves as an effective cosmological constant in the limit where quantum induced contributions to the energy-momentum tensor dominate over the classical effects.

[ { "created": "Fri, 18 Jul 2003 10:10:36 GMT", "version": "v1" }, { "created": "Mon, 1 Sep 2003 09:46:57 GMT", "version": "v2" } ]

2008-11-26

[ [ "Elizalde", "Emilio", "" ], [ "Lidsey", "James E.", "" ], [ "Nojiri", "Shinichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]

Some cosmological implications of ultraviolet quantum effects leading to a condensation of Born-Infeld matter are considered. It is shown that under very general conditions the quantum condensate can not act as phantom matter if its energy density is positive. On the other hand, it behaves as an effective cosmological constant in the limit where quantum induced contributions to the energy-momentum tensor dominate over the classical effects.

12.51292

9.969196

10.195217

10.089154

9.858325

10.415297

10.16623

11.094043

10.84136

10.103481

10.346106

9.914419

10.022134

9.755038

10.138948

9.97846

10.313166

9.841667

10.173662

9.88431

10.110085

hep-th/0011080

Katsusada Morita

Connes' Gauge Theory on Noncommutative Space-Times

LaTeX file, 20 pages

null

hep-th

null

Connes' gauge theory is defined on noncommutative space-times. It is applied to formulate a noncommutative Glashow-Weinberg-Salam (GWS) model in the leptonic sector. It is shown that the model has two Higgs doublets and the gauge bosons sector after the Higgs mechanism contains the massive charged gauge fields, two massless and two massive neutral gauge fields. It is also shown that, in the tree level, the neutrino couples to one of two `photons', the electron interacts with both `photons' and there occurs a nontrivial $\nu_R$-interaction on noncommutative space-times. Our noncommutative GWS model is reduced to the GWS theory in the commutative limit. Thus in the neutral gauge bosons sector there are only one massless photon and only one $Z^0$ in the commutative limit.

[ { "created": "Fri, 10 Nov 2000 04:25:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "Morita", "Katsusada", "" ] ]

Connes' gauge theory is defined on noncommutative space-times. It is applied to formulate a noncommutative Glashow-Weinberg-Salam (GWS) model in the leptonic sector. It is shown that the model has two Higgs doublets and the gauge bosons sector after the Higgs mechanism contains the massive charged gauge fields, two massless and two massive neutral gauge fields. It is also shown that, in the tree level, the neutrino couples to one of two `photons', the electron interacts with both `photons' and there occurs a nontrivial $\nu_R$-interaction on noncommutative space-times. Our noncommutative GWS model is reduced to the GWS theory in the commutative limit. Thus in the neutral gauge bosons sector there are only one massless photon and only one $Z^0$ in the commutative limit.

7.044488

6.697655

6.734778

6.544075

6.932211

7.603477

7.221714

6.764102

6.691226

7.166525

6.583757

6.575778

6.467657

6.437064

6.530781

6.65921

6.497972

6.555655

6.451498

6.68865

6.690503

0712.1209

Gabriele Veneziano

D. Amati, M. Ciafaloni, G. Veneziano

Towards an S-matrix Description of Gravitational Collapse

39 pages, 5 figures; added discussion sect. 7, added references, acknowledgements

JHEP0802:049,2008

10.1088/1126-6708/2008/02/049

CERN-PH-TH/2007-254

hep-th

null

Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>\lambda_s$) down to the regime where classical gravitational collapse is expected to occur. By solving the semiclassical equations of a previously introduced effective-action approximation, we find that the perturbative expansion around the leading eikonal result diverges at a critical value $b = b_c = O(G\sqrt{s})$, signalling the onset of a new (black-hole related?) regime. We then discuss the main features of our explicitly unitary S-matrix -- and of the associated effective metric -- down to (and in the vicinity of) $b = b_c$, and present some ideas and results on its extension all the way to the $ b \to 0$ region. We find that for $b<b_c$ the physical field solutions are complex-valued and the S-matrix shows additional absorption, related to a new production mechanism. The field solutions themselves are, surprisingly, everywhere regular, suggesting a quantum-tunneling -- rather than a singular-geometry -- situation.

[ { "created": "Fri, 7 Dec 2007 19:08:03 GMT", "version": "v1" }, { "created": "Mon, 10 Dec 2007 08:48:20 GMT", "version": "v2" }, { "created": "Thu, 20 Dec 2007 18:11:39 GMT", "version": "v3" } ]

2008-11-26

[ [ "Amati", "D.", "" ], [ "Ciafaloni", "M.", "" ], [ "Veneziano", "G.", "" ] ]

Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>\lambda_s$) down to the regime where classical gravitational collapse is expected to occur. By solving the semiclassical equations of a previously introduced effective-action approximation, we find that the perturbative expansion around the leading eikonal result diverges at a critical value $b = b_c = O(G\sqrt{s})$, signalling the onset of a new (black-hole related?) regime. We then discuss the main features of our explicitly unitary S-matrix -- and of the associated effective metric -- down to (and in the vicinity of) $b = b_c$, and present some ideas and results on its extension all the way to the $ b \to 0$ region. We find that for $b<b_c$ the physical field solutions are complex-valued and the S-matrix shows additional absorption, related to a new production mechanism. The field solutions themselves are, surprisingly, everywhere regular, suggesting a quantum-tunneling -- rather than a singular-geometry -- situation.

11.937886

10.32767

11.466676

10.943579

11.370784

10.300038

10.582826

10.797207

10.958934

12.926105

10.833324

11.115534

11.527853

11.40146

11.555152

11.53218

11.155841

11.592808

11.584083

11.480885

11.447025

2406.14419

Muneto Nitta

Yuki Amari, Muneto Nitta, Ryo Yokokura

Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field

38 pages, 8 figures

null

hep-th hep-ph

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

The ground state of QCD with two flavors (up and down quarks) at finite baryon density in sufficiently strong magnetic field is in a form of either a chiral soliton lattice(CSL), an array of solitons stacked along the magnetic field, or a domain-wall Skyrmion phase in which Skyrmions are spontaneously created on top of the CSL In the latter, one 2D (baby) Skyrmion in the chiral soliton corresponds to two 3D Skyrmions (baryons) in the bulk. In this paper, we study spin statistics of topological solitons by using the following two methods: the conventional Witten's method by embedding the pion fields of two flavors into those of three flavors with the Wess-Zumino-Witten (WZW) term, and a more direct method by using the two-flavor WZW term written in terms of a spin structure. We find that a chiral soliton of finite quantized size called a pancake soliton and a hole on a chiral soliton are fermions or bosons depending on odd or even quantizations of their surface areas, respectively, and a domain-wall Skyrmion is a boson. We also propose surgeries of topological solitons: a domain-wall Skyrmion (boson) can be cut into a pancake soliton (fermion) and a hole (fermion), and a chiral soliton without Skyrmions can be cut into a pancake soliton (fermion) and a hole (fermion).

[ { "created": "Thu, 20 Jun 2024 15:39:32 GMT", "version": "v1" } ]

2024-06-21

[ [ "Amari", "Yuki", "" ], [ "Nitta", "Muneto", "" ], [ "Yokokura", "Ryo", "" ] ]

The ground state of QCD with two flavors (up and down quarks) at finite baryon density in sufficiently strong magnetic field is in a form of either a chiral soliton lattice(CSL), an array of solitons stacked along the magnetic field, or a domain-wall Skyrmion phase in which Skyrmions are spontaneously created on top of the CSL In the latter, one 2D (baby) Skyrmion in the chiral soliton corresponds to two 3D Skyrmions (baryons) in the bulk. In this paper, we study spin statistics of topological solitons by using the following two methods: the conventional Witten's method by embedding the pion fields of two flavors into those of three flavors with the Wess-Zumino-Witten (WZW) term, and a more direct method by using the two-flavor WZW term written in terms of a spin structure. We find that a chiral soliton of finite quantized size called a pancake soliton and a hole on a chiral soliton are fermions or bosons depending on odd or even quantizations of their surface areas, respectively, and a domain-wall Skyrmion is a boson. We also propose surgeries of topological solitons: a domain-wall Skyrmion (boson) can be cut into a pancake soliton (fermion) and a hole (fermion), and a chiral soliton without Skyrmions can be cut into a pancake soliton (fermion) and a hole (fermion).

7.089726

7.972735

6.805099

6.719677

6.943128

7.664753

7.041017

7.410886

6.596789

7.286534

7.149523

6.737137

6.69809

6.635861

6.857243

6.899035

6.635538

6.927389

6.742061

6.785463

6.846131

1412.0687

Henry Maxfield

Entanglement entropy in three dimensional gravity

38 pages, 10 figures

null

10.1007/JHEP04(2015)031

null

hep-th gr-qc

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

The Ryu-Takayanagi and covariant Hubeny-Rangamani-Takayanagi proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces in the bulk geometry. We show how, in three dimensional pure gravity, the relevant regulated geodesic lengths can be obtained by writing a spacetime as a quotient of AdS3, with the problem reduced to a simple purely algebraic calculation. We explain how this works in both Lorentzian and Euclidean formalisms, before illustrating its use to obtain novel results in a number of examples, including rotating BTZ, the RP2 geon, and several wormhole geometries. This includes spatial and temporal dependence of single-interval entanglement entropy, despite these symmetries being broken only behind an event horizon. We also discuss considerations allowing HRT to be derived from analytic continuation of Euclidean computations in certain contexts, and a related class of complexified extremal surfaces.

[ { "created": "Mon, 1 Dec 2014 21:16:14 GMT", "version": "v1" }, { "created": "Mon, 8 Dec 2014 16:52:53 GMT", "version": "v2" }, { "created": "Wed, 8 Apr 2015 14:08:32 GMT", "version": "v3" } ]

2015-06-23

[ [ "Maxfield", "Henry", "" ] ]

The Ryu-Takayanagi and covariant Hubeny-Rangamani-Takayanagi proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces in the bulk geometry. We show how, in three dimensional pure gravity, the relevant regulated geodesic lengths can be obtained by writing a spacetime as a quotient of AdS3, with the problem reduced to a simple purely algebraic calculation. We explain how this works in both Lorentzian and Euclidean formalisms, before illustrating its use to obtain novel results in a number of examples, including rotating BTZ, the RP2 geon, and several wormhole geometries. This includes spatial and temporal dependence of single-interval entanglement entropy, despite these symmetries being broken only behind an event horizon. We also discuss considerations allowing HRT to be derived from analytic continuation of Euclidean computations in certain contexts, and a related class of complexified extremal surfaces.

11.73509

12.670424

13.474768

10.882222

11.421247

13.133038

12.034249

11.126945

11.086084

13.900488

11.727992

11.290998

11.719866

11.38

11.232059

11.349025

11.668913

11.348594

11.459248

11.649182

11.298244

2408.06729

Pietro Baratella

Pietro Baratella, Joan Elias Miro, Emanuele Gendy

Thermodynamics from the S-matrix reloaded, with applications to QCD and the confining Flux Tube

27 pages + appendices

null

hep-th

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

Over the past decade and more, S-matrix-based calculational methods have experienced a resurgence, proving to be both an elegant and powerful tool for extracting physical quantities without the need for an underlying Lagrangian formulation. In this work, we critically review and further develop the formalism introduced by Dashen, Ma, and Bernstein, which connects the thermodynamics of relativistic systems to the information contained in their scattering amplitudes. As a demonstration, we revisit the computation of the QCD equation of state to leading order in the strong coupling, showcasing the advantages of this method over traditional Thermal Field Theory techniques. Additionally, we apply these tools to the effective theory of a long confining Flux Tube in D dimensions, analyzing thermal effects up to and including NNLO contributions. Our results are compared with those obtained using the Thermodynamic Bethe Ansatz method. We also discuss how these techniques enable the inclusion of non-universal effects in the study of Flux Tubes, while relying solely on the S-matrix as input.

[ { "created": "Tue, 13 Aug 2024 08:44:08 GMT", "version": "v1" } ]

2024-08-14

[ [ "Baratella", "Pietro", "" ], [ "Miro", "Joan Elias", "" ], [ "Gendy", "Emanuele", "" ] ]

Over the past decade and more, S-matrix-based calculational methods have experienced a resurgence, proving to be both an elegant and powerful tool for extracting physical quantities without the need for an underlying Lagrangian formulation. In this work, we critically review and further develop the formalism introduced by Dashen, Ma, and Bernstein, which connects the thermodynamics of relativistic systems to the information contained in their scattering amplitudes. As a demonstration, we revisit the computation of the QCD equation of state to leading order in the strong coupling, showcasing the advantages of this method over traditional Thermal Field Theory techniques. Additionally, we apply these tools to the effective theory of a long confining Flux Tube in D dimensions, analyzing thermal effects up to and including NNLO contributions. Our results are compared with those obtained using the Thermodynamic Bethe Ansatz method. We also discuss how these techniques enable the inclusion of non-universal effects in the study of Flux Tubes, while relying solely on the S-matrix as input.

9.22806

9.247344

9.291478

8.63226

9.551408

9.461117

9.163016

8.870831

8.858692

10.24112

9.095055

8.679205

8.828166

8.532658

8.677096

8.622623

8.461032

8.521222

8.360837

8.97444

8.796096

1510.09086

Jens Hoppe

Quasi-Static BMN Solutions

null

hep-th

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

Classical solutions of membrane equations that were recently identified as limits of matrix-solutions are looked upon from another angle

[ { "created": "Fri, 30 Oct 2015 13:42:20 GMT", "version": "v1" } ]

2015-11-02

[ [ "Hoppe", "Jens", "" ] ]

Classical solutions of membrane equations that were recently identified as limits of matrix-solutions are looked upon from another angle

93.819107

66.696877

80.06633

53.670902

58.129463

46.786686

57.366688

59.839027

45.530937

103.62558

61.9049

61.961781

74.541893

59.466717

64.022675

70.477455

57.417091

70.21859

57.657406

64.078537

63.058117

hep-th/0109209

Olaf Lechtenfeld

Olaf Lechtenfeld and Alexander D. Popov

Noncommutative 't Hooft Instantons

1+20 pages; v2: projection clarified, gauge potential corrected, section 4 partially rewritten; v3: some formulae modified, ADHM description added

JHEP 0203 (2002) 040

10.1088/1126-6708/2002/03/040

null

hep-th

null

We employ the twistor approach to the construction of U(2) multi-instantons `a la 't Hooft on noncommutative R^4. The noncommutative deformation of the Corrigan-Fairlie-'t Hooft-Wilczek ansatz is derived. However, naively substituting into it the 't Hooft-type solution is unsatisfactory because the resulting gauge field fails to be self-dual on a finite-dimensional subspace of the Fock space. We repair this deficiency by a suitable Murray-von Neumann transformation after a specific projection of the gauge potential. The proper noncommutative 't Hooft multi-instanton field strength is given explicitly, in a singular as well as in a regular gauge.

[ { "created": "Thu, 27 Sep 2001 12:42:18 GMT", "version": "v1" }, { "created": "Thu, 18 Oct 2001 19:06:12 GMT", "version": "v2" }, { "created": "Wed, 6 Feb 2002 19:24:59 GMT", "version": "v3" } ]

2009-11-07

[ [ "Lechtenfeld", "Olaf", "" ], [ "Popov", "Alexander D.", "" ] ]

We employ the twistor approach to the construction of U(2) multi-instantons `a la 't Hooft on noncommutative R^4. The noncommutative deformation of the Corrigan-Fairlie-'t Hooft-Wilczek ansatz is derived. However, naively substituting into it the 't Hooft-type solution is unsatisfactory because the resulting gauge field fails to be self-dual on a finite-dimensional subspace of the Fock space. We repair this deficiency by a suitable Murray-von Neumann transformation after a specific projection of the gauge potential. The proper noncommutative 't Hooft multi-instanton field strength is given explicitly, in a singular as well as in a regular gauge.

9.275084

8.900014

10.927698

9.513309

9.891035

9.438034

8.978924

8.66043

9.11873

11.363536

8.338897

9.141555

9.417727

8.886316

9.193871

8.785634

9.103048

8.936081

9.145244

9.255024

8.765224

2306.17196

Pablo Pais

Alfredo Iorio, Boris Iveti\'c, Pablo Pais

Turning graphene into a lab for noncommutativity

8 pages, no figures. Added new Section and references. It matches the published version

Phys. Lett. B 852 (2024) 138630

10.1016/j.physletb.2024.138630

null

hep-th

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

It was recently shown that taking into account the granular structure of graphene lattice, the Dirac-like dynamics of its quasiparticles resists beyond the lowest energy approximation. This can be described in terms of new phase-space variables, $(\vec{X},\vec{P})$, that enjoy generalized Heisenberg algebras. In this letter, we add to that picture the important case of noncommuting $\vec{X}$, for which $[X^i,X^j] = \mathrm{i} \, \theta^{i j}$ and we find that $\theta^{i j} = \ell^2 \, \epsilon^{i j}$, with $\ell$ the lattice spacing. We close by giving both the general recipe and a possible specific kinematic setup for the practical implementation of this approach to test noncommutative theories in tabletop analog experiments on graphene.

[ { "created": "Thu, 29 Jun 2023 00:25:29 GMT", "version": "v1" }, { "created": "Fri, 19 Apr 2024 01:56:56 GMT", "version": "v2" } ]

2024-05-17

[ [ "Iorio", "Alfredo", "" ], [ "Ivetić", "Boris", "" ], [ "Pais", "Pablo", "" ] ]

It was recently shown that taking into account the granular structure of graphene lattice, the Dirac-like dynamics of its quasiparticles resists beyond the lowest energy approximation. This can be described in terms of new phase-space variables, $(\vec{X},\vec{P})$, that enjoy generalized Heisenberg algebras. In this letter, we add to that picture the important case of noncommuting $\vec{X}$, for which $[X^i,X^j] = \mathrm{i} \, \theta^{i j}$ and we find that $\theta^{i j} = \ell^2 \, \epsilon^{i j}$, with $\ell$ the lattice spacing. We close by giving both the general recipe and a possible specific kinematic setup for the practical implementation of this approach to test noncommutative theories in tabletop analog experiments on graphene.

9.695014

8.988195

8.941257

9.070951

9.683842

9.995355

9.307466

9.62111

9.15755

9.119943

8.862249

9.242991

9.143236

8.96933

8.94308

9.269934

9.331002

9.053157

8.649372

9.046647

8.969028

hep-th/0211076

Eric Nicholson

UV-IR mixing and the quantum consistency of noncommutative gauge theories

RevTex, 13 pages, 9 figures, To be published in PRD

Phys.Rev. D66 (2002) 105018

10.1103/PhysRevD.66.105018

UTTG-09-02

hep-th

null

We study the quantum mechanical consistency of noncommutative gauge theories by perturbatively analyzing the Wilsonian quantum effective action in the matrix formulation. In the process of integrating out UV states, we find new divergences having dual UV-IR interpretations and no analogues in ordinary quantum field theories. The appearance of these new UV-IR divergences has profound consequences for the renormalizability of the theory. In particular, renormalizability fails in any nonsupersymmetric noncommutative gauge theory. In fact, we argue that renormalizability generally fails in any noncommutative theory that allows quantum corrections beyond one-loop. Thus, it seems that noncommutative quantum theories are extremely sensitive to the UV, and only the softest UV behavior can be tolerated.

[ { "created": "Fri, 8 Nov 2002 21:28:50 GMT", "version": "v1" } ]

2016-09-06

[ [ "Nicholson", "Eric", "" ] ]

We study the quantum mechanical consistency of noncommutative gauge theories by perturbatively analyzing the Wilsonian quantum effective action in the matrix formulation. In the process of integrating out UV states, we find new divergences having dual UV-IR interpretations and no analogues in ordinary quantum field theories. The appearance of these new UV-IR divergences has profound consequences for the renormalizability of the theory. In particular, renormalizability fails in any nonsupersymmetric noncommutative gauge theory. In fact, we argue that renormalizability generally fails in any noncommutative theory that allows quantum corrections beyond one-loop. Thus, it seems that noncommutative quantum theories are extremely sensitive to the UV, and only the softest UV behavior can be tolerated.

8.390491

7.85718

8.765784

7.734409

8.689678

8.296714

8.156088

7.960583

8.013043

8.829827

8.111894

8.15826

8.299951

7.912042

8.063274

8.179283

8.020932

8.04157

7.997909

8.480554

7.955498

hep-th/0610170

George Siopsis

Suphot Musiri and George Siopsis

Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime

13 pages incl. 3 figures, v2: corrected error, generalized results to arbitrary spin

null

10.1016/j.physletb.2007.04.068

UTHET-06-0701

hep-th

null

We calculate analytically the asymptotic form of quasi-normal modes of perturbations of arbitrary spin of a Schwarzschild black hole including first-order corrections. We use the Teukolsky equation which applies to both bosonic and fermionic modes. Remarkably, we arrive at explicit expressions which coincide with those derived using the Regge-Wheeler equation for integer spin. Our zeroth-order expressions agree with the results of WKB analysis. In the case of Dirac fermions, our results are in good agreement with numerical data.

[ { "created": "Sun, 15 Oct 2006 13:39:07 GMT", "version": "v1" }, { "created": "Tue, 17 Apr 2007 23:12:34 GMT", "version": "v2" } ]

2009-11-11

[ [ "Musiri", "Suphot", "" ], [ "Siopsis", "George", "" ] ]

We calculate analytically the asymptotic form of quasi-normal modes of perturbations of arbitrary spin of a Schwarzschild black hole including first-order corrections. We use the Teukolsky equation which applies to both bosonic and fermionic modes. Remarkably, we arrive at explicit expressions which coincide with those derived using the Regge-Wheeler equation for integer spin. Our zeroth-order expressions agree with the results of WKB analysis. In the case of Dirac fermions, our results are in good agreement with numerical data.

7.619462

7.606335

7.49223

6.91995

7.463074

7.526589

7.704151

7.341541

7.678951

7.615711

7.493641

7.218882

7.292707

7.043084

7.259974

7.259443

7.438101

7.157806

7.184566

7.320857

7.175475

2304.11845

Cesar Gomez

Clocks, Algebras and Cosmology

30 pages

null

hep-th gr-qc

http://creativecommons.org/publicdomain/zero/1.0/

Gauge invariant local observables describing primordial scalar quantum fluctuations in Inflationary Cosmology are identified as elements of a type $II$ de Sitter crossed product algebra. This algebra is defined, after adding a reference frame clock, as the algebra of clock dressed local operators. Clock dressing sets, in the weak gravity limit, the Schrodinger equation for gauge invariant quantum fluctuations. Instead of using a slow roll inflaton potential to define the clock Hamiltonian and the clock state we suggest a natural double de Sitter clock making the whole algebra associated with the planar patch a type $II$ factor. The corresponding clock states are EPR squeezed states. Using this clock to define the needed clock dressing leads to concrete model independent predictions of the inflationary parameters. Some speculative remarks on potential ways to define a type $I$ upgrading are briefly discussed.

[ { "created": "Mon, 24 Apr 2023 06:24:55 GMT", "version": "v1" } ]

2023-04-25

[ [ "Gomez", "Cesar", "" ] ]

Gauge invariant local observables describing primordial scalar quantum fluctuations in Inflationary Cosmology are identified as elements of a type $II$ de Sitter crossed product algebra. This algebra is defined, after adding a reference frame clock, as the algebra of clock dressed local operators. Clock dressing sets, in the weak gravity limit, the Schrodinger equation for gauge invariant quantum fluctuations. Instead of using a slow roll inflaton potential to define the clock Hamiltonian and the clock state we suggest a natural double de Sitter clock making the whole algebra associated with the planar patch a type $II$ factor. The corresponding clock states are EPR squeezed states. Using this clock to define the needed clock dressing leads to concrete model independent predictions of the inflationary parameters. Some speculative remarks on potential ways to define a type $I$ upgrading are briefly discussed.

24.41637

23.165346

24.979786

22.084137

23.653669

23.269941

20.986038

20.726105

22.5784

25.6446

20.426723

22.4767

22.323574

22.233717

22.316029

22.915005

21.891193

23.356701

23.239252

22.200701

21.768892

hep-th/0511302

Subir Ghosh

Subir Ghosh (Indian Statistical Institute)

A Novel "Magnetic" Field And Its Dual Non-Commutative Phase Space

8 pages LaTex, Matches journal version, PLB 638 (2006)350; One reference added and minor change in text, related to it

null

10.1016/j.physletb.2006.05.064

null

hep-th cond-mat.mes-hall quant-ph

null

In this paper we have studied a new form of Non-Commutative (NC) phase space with an operatorial form of noncommutativity. A point particle in this space feels the effect of an interaction with an "{\it{internal}}" magnetic field, that is singular at a specific position $\theta^{-1}$. By "internal" we mean that the effective magnetic fields depends essentially on the particle properties and modifies the symplectic structure. Here $\theta $ is the NC parameter and induces the coupling between the particle and the "internal" magnetic field. The magnetic moment of the particle is computed. Interaction with an {\it{external}} physical magnetic field reveals interesting features induced by the inherent fuzziness of the NC phase space: introduction of non-trivial structures into the charge and mass of the particle and possibility of the particle dynamics collapsing to a Hall type of motion. The dynamics is studied both from Lagrangian and symplectic (Hamiltonian) points of view. The canonical (Darboux) variables are also identified. We briefly comment, that the model presented here, can play interesting role in the context of (recently observed) {\it{real}} space Berry curvature in material systems.

[ { "created": "Wed, 30 Nov 2005 10:28:29 GMT", "version": "v1" }, { "created": "Tue, 23 May 2006 10:23:53 GMT", "version": "v2" }, { "created": "Tue, 4 Jul 2006 17:26:15 GMT", "version": "v3" }, { "created": "Fri, 7 Jul 2006 13:26:21 GMT", "version": "v4" } ]

2009-11-11

[ [ "Ghosh", "Subir", "", "Indian Statistical Institute" ] ]

In this paper we have studied a new form of Non-Commutative (NC) phase space with an operatorial form of noncommutativity. A point particle in this space feels the effect of an interaction with an "{\it{internal}}" magnetic field, that is singular at a specific position $\theta^{-1}$. By "internal" we mean that the effective magnetic fields depends essentially on the particle properties and modifies the symplectic structure. Here $\theta $ is the NC parameter and induces the coupling between the particle and the "internal" magnetic field. The magnetic moment of the particle is computed. Interaction with an {\it{external}} physical magnetic field reveals interesting features induced by the inherent fuzziness of the NC phase space: introduction of non-trivial structures into the charge and mass of the particle and possibility of the particle dynamics collapsing to a Hall type of motion. The dynamics is studied both from Lagrangian and symplectic (Hamiltonian) points of view. The canonical (Darboux) variables are also identified. We briefly comment, that the model presented here, can play interesting role in the context of (recently observed) {\it{real}} space Berry curvature in material systems.

13.872291

15.042213

14.556774

13.247352

15.219384

14.874231

14.572739

13.445914

13.897595

14.626478

13.349677

13.352016

13.066737

12.999634

13.106047

13.034809

13.254751

13.015515

12.743219

13.527465

13.307843

2008.12280

Mich\`ele Levi

Mich\`ele Levi, Fei Teng

NLO gravitational quartic-in-spin interaction

29 pp, 6 figures, 1 table, 1 ancillary .nb file, published

JHEP 2101 (2021) 066

10.1007/JHEP01(2021)066

null

hep-th gr-qc

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

In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature. The latter extension entails a new Wilson coefficient that appears in this sector. This work pushes the precision frontier with spins at the fifth PN (5PN) order for maximally-spinning compact objects, and at the same time informs us of the gravitational Compton scattering with higher spins.

[ { "created": "Thu, 27 Aug 2020 17:34:00 GMT", "version": "v1" }, { "created": "Wed, 13 Jan 2021 23:00:15 GMT", "version": "v2" } ]

2021-01-15

[ [ "Levi", "Michèle", "" ], [ "Teng", "Fei", "" ] ]

In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature. The latter extension entails a new Wilson coefficient that appears in this sector. This work pushes the precision frontier with spins at the fifth PN (5PN) order for maximally-spinning compact objects, and at the same time informs us of the gravitational Compton scattering with higher spins.

11.731283

8.703713

11.14289

8.997402

9.497475

9.764379

9.608307

8.732555

9.520334

12.20744

9.068242

10.338383

11.192753

10.493602

10.795534

10.239026

10.607722

10.24764

10.531943

11.123198

10.701431

1905.00412

Dmitri Bykov

Ismail Achmed-Zade and Dmitri Bykov

Ricci-flat metrics on vector bundles over flag manifolds

21 pages, 3 figures

null

10.1007/s00220-020-03759-4

MPP-2019-81. LMU-ASC 17/19

hep-th math.DG

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

We construct explicit complete Ricci-flat metrics on the total spaces of certain vector bundles over flag manifolds of the group $SU(n)$, for all K\"ahler classes. These metrics are natural generalizations of the metrics of Candelas-de la Ossa on the conifold, Pando Zayas-Tseytlin on the canonical bundle over $\mathbb{CP}^1\times \mathbb{CP}^1$, as well as the metrics on canonical bundles over flag manifolds, recently constructed by van Coevering.

[ { "created": "Wed, 1 May 2019 17:56:28 GMT", "version": "v1" } ]

2020-06-24

[ [ "Achmed-Zade", "Ismail", "" ], [ "Bykov", "Dmitri", "" ] ]

We construct explicit complete Ricci-flat metrics on the total spaces of certain vector bundles over flag manifolds of the group $SU(n)$, for all K\"ahler classes. These metrics are natural generalizations of the metrics of Candelas-de la Ossa on the conifold, Pando Zayas-Tseytlin on the canonical bundle over $\mathbb{CP}^1\times \mathbb{CP}^1$, as well as the metrics on canonical bundles over flag manifolds, recently constructed by van Coevering.

5.235194

5.014525

6.914885

5.351503

5.312606

5.738692

5.232709

5.521269

5.365231

9.282196

5.289388

4.630142

5.424016

4.654419

4.63872

4.714042

4.777978

4.695524

4.770257

5.501009

4.86683

1201.4123

Jennifer Lin

David Kutasov, Jennifer Lin, Andrei Parnachev

Holographic Walking from Tachyon DBI

48 pages; v2: references added

Nucl.Phys. B863 (2012) 361-397

10.1016/j.nuclphysb.2012.05.025

null

hep-th hep-ph

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

We use holography to study Conformal Phase Transitions, which are believed to be realized in four dimensional QCD and play an important role in walking technicolor models of electroweak symmetry breaking. At strong coupling they can be modeled by the non-linear dynamics of a tachyonic scalar field with mass close to the Breitenlohner-Freedman bound in anti de Sitter spacetime. Taking the action for this field to have a Tachyon-Dirac-Born-Infeld form gives rise to models that resemble hard and soft wall AdS/QCD, with a dynamically generated wall. For hard wall models, the highly excited spectrum has the KK form m_n ~ n; in the soft wall case we exhibit potentials with m_n ~ n^\alpha, 0<\alpha\leq1/2. We investigate the finite temperature phase structure and find first or second order symmetry restoration transitions, depending on the behavior of the potential near the origin of field space.

[ { "created": "Thu, 19 Jan 2012 17:53:34 GMT", "version": "v1" }, { "created": "Tue, 13 Mar 2012 18:48:20 GMT", "version": "v2" } ]

2012-07-17

[ [ "Kutasov", "David", "" ], [ "Lin", "Jennifer", "" ], [ "Parnachev", "Andrei", "" ] ]

We use holography to study Conformal Phase Transitions, which are believed to be realized in four dimensional QCD and play an important role in walking technicolor models of electroweak symmetry breaking. At strong coupling they can be modeled by the non-linear dynamics of a tachyonic scalar field with mass close to the Breitenlohner-Freedman bound in anti de Sitter spacetime. Taking the action for this field to have a Tachyon-Dirac-Born-Infeld form gives rise to models that resemble hard and soft wall AdS/QCD, with a dynamically generated wall. For hard wall models, the highly excited spectrum has the KK form m_n ~ n; in the soft wall case we exhibit potentials with m_n ~ n^\alpha, 0<\alpha\leq1/2. We investigate the finite temperature phase structure and find first or second order symmetry restoration transitions, depending on the behavior of the potential near the origin of field space.

8.623273

8.827846

8.946584

8.34747

8.799993

8.7146

9.1715

8.415023

8.448958

9.588661

8.241987

8.577847

8.664887

8.349618

8.523506

8.233096

8.154325

8.182907

8.162794

8.775288

8.303646

hep-th/9404093

null

Jouko Mickelsson

Wodzicki residue and anomalies of current algebras

15 pages, updated version of a talk at the Baltic School in Field Theory, September 1993

null

10.1007/3-540-58453-6_7

null

hep-th math.QA

null

The commutator anomalies (Schwinger terms) of current algebras in $3+1$ dimensions are computed in terms of the Wodzicki residue of pseudodifferential operators; the result can be written as a (twisted) Radul 2-cocycle for the Lie algebra of PSDO's. The construction of the (second quantized) current algebra is closely related to a geometric renormalization of the interaction Hamiltonian $H_I=j_{\mu} A^{\mu}$ in gauge theory.

[ { "created": "Fri, 15 Apr 1994 13:24:36 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 1994 13:18:00 GMT", "version": "v2" } ]

2009-10-28

[ [ "Mickelsson", "Jouko", "" ] ]

The commutator anomalies (Schwinger terms) of current algebras in $3+1$ dimensions are computed in terms of the Wodzicki residue of pseudodifferential operators; the result can be written as a (twisted) Radul 2-cocycle for the Lie algebra of PSDO's. The construction of the (second quantized) current algebra is closely related to a geometric renormalization of the interaction Hamiltonian $H_I=j_{\mu} A^{\mu}$ in gauge theory.

9.60075

9.412374

10.771282

8.691057

8.744947

9.312454

9.151624

9.660599

8.831145

12.071792

8.506727

8.603956

9.763694

8.88255

9.038219

8.700991

8.451826

8.962282

8.632728

9.386852

8.748469

hep-th/0003131

Marco Matone

G. Bertoldi, J.M. Isidro, M. Matone and P. Pasti

Noncommutative Riemann Surfaces

LaTeX, 1+14 pages. Contribution to the TMR meeting ``Quantum aspects of gauge theories, supersymmetry and unification'', Paris 1-7 September 1999

PoS TMR99 (1999) 022

10.22323/1.004.0022

null

hep-th math.AG

null

We compactify M(atrix) theory on Riemann surfaces Sigma with genus g>1. Following [1], we construct a projective unitary representation of pi_1(Sigma) realized on L^2(H), with H the upper half-plane. As a first step we introduce a suitably gauged sl_2(R) algebra. Then a uniquely determined gauge connection provides the central extension which is a 2-cocycle of the 2nd Hochschild cohomology group. Our construction is the double-scaling limit N\to\infty, k\to-\infty of the representation considered in the Narasimhan-Seshadri theorem, which represents the higher-genus analog of 't Hooft's clock and shift matrices of QCD. The concept of a noncommutative Riemann surface Sigma_\theta is introduced as a certain C^\star-algebra. Finally we investigate the Morita equivalence.

[ { "created": "Wed, 15 Mar 2000 15:49:59 GMT", "version": "v1" } ]

2018-06-20

[ [ "Bertoldi", "G.", "" ], [ "Isidro", "J. M.", "" ], [ "Matone", "M.", "" ], [ "Pasti", "P.", "" ] ]

We compactify M(atrix) theory on Riemann surfaces Sigma with genus g>1. Following [1], we construct a projective unitary representation of pi_1(Sigma) realized on L^2(H), with H the upper half-plane. As a first step we introduce a suitably gauged sl_2(R) algebra. Then a uniquely determined gauge connection provides the central extension which is a 2-cocycle of the 2nd Hochschild cohomology group. Our construction is the double-scaling limit N\to\infty, k\to-\infty of the representation considered in the Narasimhan-Seshadri theorem, which represents the higher-genus analog of 't Hooft's clock and shift matrices of QCD. The concept of a noncommutative Riemann surface Sigma_\theta is introduced as a certain C^\star-algebra. Finally we investigate the Morita equivalence.

11.206099

13.103846

12.028665

11.325213

12.055986

12.064903

11.968413

11.538551

11.061797

14.822937

11.226286

11.110028

10.345328

10.337481

10.501653

10.518056

10.62932

11.028788

10.450857

11.150162

10.653758

1712.09899

Mitsuhiro Nishida

Mitsuhiro Nishida, Masahiro Nozaki, Yuji Sugimoto, Akio Tomiya

Entanglement Spreading and Oscillation

31 pages + appendices, 25 figures, comments and references added, some typos corrected

null

EFI-17-29, OU-HET-955

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

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

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero value at early time and either crosses or approaches zero. The time-dependence is chosen so that the quantum dynamics is exactly solvable. If the quenches asymptotically approach a critical point at late time, the early-time and late-time entropies are proportional to the time and subsystem size respectively. Their proportionality coefficients are determined by scales: in a fast limit, an initial correlation length; in a slow limit, an effective scale defined when adiabaticity breaks down. If the quenches cross a critical point, the time evolution of entropy is characterized by the scales: the initial correlation length in the fast limit and the effective correlation length in the slow limit. The entropy oscillates, and the entanglement oscillation comes from a coherence between right-moving and left-moving waves if we measure the entropy after time characterized by the quench rate. The periodicity of the late-time oscillation is consistent with the periodicity of the oscillation of zero modes which are zero-momentum spectra of two point functions of a fundamental field and its conjugate momentum.

[ { "created": "Thu, 28 Dec 2017 15:37:06 GMT", "version": "v1" }, { "created": "Fri, 12 Jan 2018 09:28:40 GMT", "version": "v2" } ]

2018-01-15

[ [ "Nishida", "Mitsuhiro", "" ], [ "Nozaki", "Masahiro", "" ], [ "Sugimoto", "Yuji", "" ], [ "Tomiya", "Akio", "" ] ]

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero value at early time and either crosses or approaches zero. The time-dependence is chosen so that the quantum dynamics is exactly solvable. If the quenches asymptotically approach a critical point at late time, the early-time and late-time entropies are proportional to the time and subsystem size respectively. Their proportionality coefficients are determined by scales: in a fast limit, an initial correlation length; in a slow limit, an effective scale defined when adiabaticity breaks down. If the quenches cross a critical point, the time evolution of entropy is characterized by the scales: the initial correlation length in the fast limit and the effective correlation length in the slow limit. The entropy oscillates, and the entanglement oscillation comes from a coherence between right-moving and left-moving waves if we measure the entropy after time characterized by the quench rate. The periodicity of the late-time oscillation is consistent with the periodicity of the oscillation of zero modes which are zero-momentum spectra of two point functions of a fundamental field and its conjugate momentum.

9.780392

11.231477

10.549312

9.973544

11.050457

10.936532

10.829694

10.044448

9.301261

11.795602

10.643726

10.29198

10.365101

9.927059

10.168803

10.085243

10.189806

9.910635

10.030485

10.765406

9.709522

1912.06562

Valentin Reys

Abhishek Chowdhury, Abhiram Kidambi, Sameer Murthy, Valentin Reys, Timm Wrase

Dyonic black hole degeneracies in $\mathcal{N} = 4$ string theory from Dabholkar-Harvey degeneracies

58 pages, 9 figures, 3 tables

null

10.1007/JHEP10(2020)184

null

hep-th math.NT

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

The degeneracies of single-centered dyonic $\frac14$-BPS black holes (BH) in Type II string theory on K3$\times T^2$ are known to be coefficients of certain mock Jacobi forms arising from the Igusa cusp form $\Phi_{10}$. In this paper we present an exact analytic formula for these BH degeneracies purely in terms of the degeneracies of the perturbative $\frac12$-BPS states of the theory. We use the fact that the degeneracies are completely controlled by the polar coefficients of the mock Jacobi forms, using the Hardy-Ramanujan-Rademacher circle method. Here we present a simple formula for these polar coefficients as a quadratic function of the $\frac12$-BPS degeneracies. We arrive at the formula by using the physical interpretation of polar coefficients as negative discriminant states, and then making use of previous results in the literature to track the decay of such states into pairs of $\frac12$-BPS states in the moduli space. Although there are an infinite number of such decays, we show that only a finite number of them contribute to the formula. The phenomenon of BH bound state metamorphosis (BSM) plays a crucial role in our analysis. We show that the dyonic BSM orbits with $U$-duality invariant $\Delta<0$ are in exact correspondence with the solution sets of the Brahmagupta-Pell equation, which implies that they are isomorphic to the group of units in the order $\mathbb{Z}[\sqrt{|\Delta|}]$ in the real quadratic field $\mathbb{Q}(\sqrt{|\Delta|})$. We check our formula against the known numerical data arising from the Igusa cusp form, for the first 1650 polar coefficients, and find perfect agreement.

[ { "created": "Fri, 13 Dec 2019 15:35:04 GMT", "version": "v1" } ]

2020-12-02

[ [ "Chowdhury", "Abhishek", "" ], [ "Kidambi", "Abhiram", "" ], [ "Murthy", "Sameer", "" ], [ "Reys", "Valentin", "" ], [ "Wrase", "Timm", "" ] ]

The degeneracies of single-centered dyonic $\frac14$-BPS black holes (BH) in Type II string theory on K3$\times T^2$ are known to be coefficients of certain mock Jacobi forms arising from the Igusa cusp form $\Phi_{10}$. In this paper we present an exact analytic formula for these BH degeneracies purely in terms of the degeneracies of the perturbative $\frac12$-BPS states of the theory. We use the fact that the degeneracies are completely controlled by the polar coefficients of the mock Jacobi forms, using the Hardy-Ramanujan-Rademacher circle method. Here we present a simple formula for these polar coefficients as a quadratic function of the $\frac12$-BPS degeneracies. We arrive at the formula by using the physical interpretation of polar coefficients as negative discriminant states, and then making use of previous results in the literature to track the decay of such states into pairs of $\frac12$-BPS states in the moduli space. Although there are an infinite number of such decays, we show that only a finite number of them contribute to the formula. The phenomenon of BH bound state metamorphosis (BSM) plays a crucial role in our analysis. We show that the dyonic BSM orbits with $U$-duality invariant $\Delta<0$ are in exact correspondence with the solution sets of the Brahmagupta-Pell equation, which implies that they are isomorphic to the group of units in the order $\mathbb{Z}[\sqrt{|\Delta|}]$ in the real quadratic field $\mathbb{Q}(\sqrt{|\Delta|})$. We check our formula against the known numerical data arising from the Igusa cusp form, for the first 1650 polar coefficients, and find perfect agreement.

6.017286

6.058829

7.336879

5.749692

6.132082

6.112182

6.27922

6.102468

5.66896

7.237383

5.695252

5.750121

6.465486

5.83643

5.82277

5.751636

5.752772

5.751871

5.776662

6.4611

5.679368

hep-th/0111258

Francois Gieres

F. Gieres, J.M. Grimstrup, H. Nieder, T. Pisar and M. Schweda

Symmetries of topological field theories in the BV-framework

30 pages

Phys.Rev. D66 (2002) 025027

10.1103/PhysRevD.66.025027

LYCEN 2001-81, REF. TUW 01-21

hep-th

null

Topological field theories of Schwarz-type generally admit symmetries whose algebra does not close off-shell, e.g. the basic symmetries of BF models or vector supersymmetry of the gauge-fixed action for Chern-Simons theory (this symmetry being at the origin of the perturbative finiteness of the theory). We present a detailed discussion of all these symmetries within the algebraic approach to the Batalin-Vilkovisky formalism. Moreover, we discuss the general algebraic construction of topological models of both Schwarz- and Witten-type.

[ { "created": "Wed, 28 Nov 2001 15:42:21 GMT", "version": "v1" } ]

2009-11-07

[ [ "Gieres", "F.", "" ], [ "Grimstrup", "J. M.", "" ], [ "Nieder", "H.", "" ], [ "Pisar", "T.", "" ], [ "Schweda", "M.", "" ] ]

Topological field theories of Schwarz-type generally admit symmetries whose algebra does not close off-shell, e.g. the basic symmetries of BF models or vector supersymmetry of the gauge-fixed action for Chern-Simons theory (this symmetry being at the origin of the perturbative finiteness of the theory). We present a detailed discussion of all these symmetries within the algebraic approach to the Batalin-Vilkovisky formalism. Moreover, we discuss the general algebraic construction of topological models of both Schwarz- and Witten-type.

9.300941

8.069902

9.301926

7.78563

8.380357

7.630495

7.854794

7.89898

7.783804

9.638724

7.410418

7.630687

8.391509

8.006965

8.242164

7.933585

7.96837

7.894416

7.943137

8.652965

7.676826

2209.00013

{\AA}smund Folkestad

The Penrose Inequality as a Constraint on the Low Energy Limit of Quantum Gravity

8 pages, 3 figures. v3: published version, added clarifications. v4: added inconsequential missing term in eq. 7, 8. v5: fixed a sign error in the presentation of eq (16), the correct formula was used in numerics - no conclusions changed

null

10.1103/PhysRevLett.130.121501

MIT-CTP/5458

hep-th gr-qc

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

We construct initial data violating the Anti-deSitter Penrose inequality using scalars with various potentials. Since a version of the Penrose inequality can be derived from AdS/CFT, we argue that it is a new swampland condition, ruling out holographic UV completion for theories that violate it. We produce exclusion plots on scalar couplings violating the inequality, and we find no violations for potentials from string theory. In the special case where the dominant energy condition holds, we use GR techniques to prove the AdS Penrose inequality in all dimensions, assuming spherical, planar, or hyperbolic symmetry. However, our violations show that this result cannot be generically true with only the null energy condition, and we give an analytic sufficient condition for violation of the Penrose inequality, constraining couplings of scalar potentials. Like the Breitenlohner-Freedman bound, this gives a necessary condition for the stability of AdS.

[ { "created": "Wed, 31 Aug 2022 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 27 Sep 2022 18:00:00 GMT", "version": "v2" }, { "created": "Fri, 7 Jul 2023 07:54:21 GMT", "version": "v3" }, { "created": "Thu, 10 Aug 2023 14:36:37 GMT", "version": "v4" }, { "created": "Wed, 13 Mar 2024 15:47:50 GMT", "version": "v5" } ]

2024-03-14

[ [ "Folkestad", "Åsmund", "" ] ]

We construct initial data violating the Anti-deSitter Penrose inequality using scalars with various potentials. Since a version of the Penrose inequality can be derived from AdS/CFT, we argue that it is a new swampland condition, ruling out holographic UV completion for theories that violate it. We produce exclusion plots on scalar couplings violating the inequality, and we find no violations for potentials from string theory. In the special case where the dominant energy condition holds, we use GR techniques to prove the AdS Penrose inequality in all dimensions, assuming spherical, planar, or hyperbolic symmetry. However, our violations show that this result cannot be generically true with only the null energy condition, and we give an analytic sufficient condition for violation of the Penrose inequality, constraining couplings of scalar potentials. Like the Breitenlohner-Freedman bound, this gives a necessary condition for the stability of AdS.

11.364639

11.973916

10.758328

10.234343

12.164908

11.203072

11.427561

11.247922

9.945259

11.835389

10.876952

10.912884

11.159474

10.884514

11.159504

10.928027

10.995082

11.371855

10.853184

11.288045

10.837562

hep-th/9607151

Sung-Kil Yang

Seiji Terashima and Sung-Kil Yang

Confining Phase of N=1 Supersymmetric Gauge Theories and N=2 Massless Solitons

15 pages, Latex, no figures, two references added

Phys.Lett. B391 (1997) 107-114

10.1016/S0370-2693(96)01429-3

UTHEP-340

hep-th

null

Effective superpotentials for the phase with a confined photon are obtained in $N=1$ supersymmetric gauge theories. We use the results to derive the hyperelliptic curves which describe the Coulomb phase of $N=2$ theories with classical gauge groups, and thus extending the prior result for $SU(N_c)$ gauge theory by Elitzur et al. Moreover, adjusting the coupling constants in $N=1$ effective superpotentials to the values of $N=2$ non-trivial critical points we find new classes of $N=1$ superconformal field theories with an adjoint matter with a superpotential.

[ { "created": "Thu, 18 Jul 1996 07:37:40 GMT", "version": "v1" }, { "created": "Sun, 21 Jul 1996 06:52:25 GMT", "version": "v2" } ]

2009-10-30

[ [ "Terashima", "Seiji", "" ], [ "Yang", "Sung-Kil", "" ] ]

Effective superpotentials for the phase with a confined photon are obtained in $N=1$ supersymmetric gauge theories. We use the results to derive the hyperelliptic curves which describe the Coulomb phase of $N=2$ theories with classical gauge groups, and thus extending the prior result for $SU(N_c)$ gauge theory by Elitzur et al. Moreover, adjusting the coupling constants in $N=1$ effective superpotentials to the values of $N=2$ non-trivial critical points we find new classes of $N=1$ superconformal field theories with an adjoint matter with a superpotential.

9.409921

6.853676

10.599407

7.766838

7.616492

7.195105

7.589166

7.182547

7.695082

11.012373

8.163832

7.673272

9.85902

8.213697

8.145357

8.030944

8.503123

7.978879

8.382491

9.373941

8.207434

1407.0197

Gabriel Cardoso

Gabriel Lopes Cardoso, Michele Cirafici and Suresh Nampuri

Indefinite theta functions for counting attractor backgrounds

24 pages, LaTex

JHEP10(2014)017

null

hep-th

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

In this note, we employ indefinite theta functions to regularize canonical partition functions for single-center dyonic BPS black holes. These partition functions count dyonic degeneracies in the Hilbert space of four-dimensional toroidally compactified heterotic string theory, graded by electric and magnetic charges. The regularization is achieved by viewing the weighted sums of degeneracies as sums over charge excitations in the near-horizon attractor geometry of an arbitrarily chosen black hole background, and eliminating the unstable modes. This enables us to rewrite these sums in terms of indefinite theta functions. Background independence is then implemented by using the transformation property of indefinite theta functions under elliptic transformations, while modular transformations are used to make contact with semi-classical results in supergravity.

[ { "created": "Tue, 1 Jul 2014 11:34:49 GMT", "version": "v1" } ]

2014-10-23

[ [ "Cardoso", "Gabriel Lopes", "" ], [ "Cirafici", "Michele", "" ], [ "Nampuri", "Suresh", "" ] ]

In this note, we employ indefinite theta functions to regularize canonical partition functions for single-center dyonic BPS black holes. These partition functions count dyonic degeneracies in the Hilbert space of four-dimensional toroidally compactified heterotic string theory, graded by electric and magnetic charges. The regularization is achieved by viewing the weighted sums of degeneracies as sums over charge excitations in the near-horizon attractor geometry of an arbitrarily chosen black hole background, and eliminating the unstable modes. This enables us to rewrite these sums in terms of indefinite theta functions. Background independence is then implemented by using the transformation property of indefinite theta functions under elliptic transformations, while modular transformations are used to make contact with semi-classical results in supergravity.

11.490497

11.286971

12.753549

10.107652

11.550902

10.884233

11.456655

10.52101

10.804418

13.385142

10.594893

10.544101

11.760857

10.515812

10.640086

10.207539

10.325204

10.365637

10.326587

11.096945

10.447506

hep-th/0406067

Antonio Soares de Castro

Antonio S. de Castro

Exact solution for a fermion in the background of a scalar inversely linear potential

13 pages, 6 figures

Phys.Lett. A328 (2004) 289-298

10.1016/j.physleta.2004.06.035

null

hep-th quant-ph

null

The problem of a fermion subject to a general scalar potential in a two-dimensional world is mapped into a Sturm-Liouville problem for nonzero eigenenergies. The searching for possible bounded solutions is done in the circumstance of power-law potentials. The normalizable zero-eigenmode solutions are also searched. For the specific case of an inversely linear potential, which gives rise to an effective Kratzer potential, exact bounded solutions are found in closed form. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed.

[ { "created": "Mon, 7 Jun 2004 20:46:02 GMT", "version": "v1" } ]

2009-11-10

[ [ "de Castro", "Antonio S.", "" ] ]

The problem of a fermion subject to a general scalar potential in a two-dimensional world is mapped into a Sturm-Liouville problem for nonzero eigenenergies. The searching for possible bounded solutions is done in the circumstance of power-law potentials. The normalizable zero-eigenmode solutions are also searched. For the specific case of an inversely linear potential, which gives rise to an effective Kratzer potential, exact bounded solutions are found in closed form. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed.

12.885759

11.130507

13.165072

11.03396

11.9317

10.428345

10.686188

10.892468

11.721152

14.274962

10.378835

11.015404

12.18182

11.929817

11.856532

11.502863

11.000842

11.536863

11.396595

12.304391

11.646074

hep-th/9302058

Costas Kounnas

Construction of String Solutions around Non-trivial Backgrounds

Latex file, 15pp, CERN-TH.6790/93

null

hep-th

null

We present a way of constructing string solutions around non-trivial gravitational backgrounds. The proposed solutions are constructed using $N = 4$ superconformal building blocks with $\hat c = 4$. We give two different and inequivalent realizations of non-trivial four-dimensional subspaces, and we show the emergence of the $N = 4$ globally defined superconformal symmetry. The existence of $N = 4$ world-sheet symmetry stabilizes our solutions and implies in target space a number of covariantized supersymmetries around space-time dependent gravitational and dilaton backgrounds.

[ { "created": "Sun, 14 Feb 1993 15:33:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kounnas", "Costas", "" ] ]

We present a way of constructing string solutions around non-trivial gravitational backgrounds. The proposed solutions are constructed using $N = 4$ superconformal building blocks with $\hat c = 4$. We give two different and inequivalent realizations of non-trivial four-dimensional subspaces, and we show the emergence of the $N = 4$ globally defined superconformal symmetry. The existence of $N = 4$ world-sheet symmetry stabilizes our solutions and implies in target space a number of covariantized supersymmetries around space-time dependent gravitational and dilaton backgrounds.

13.107974

12.701746

14.945892

11.975606

12.373962

12.585065

12.179884

12.992634

11.311543

18.000401

11.945597

12.111232

12.701612

12.132262

11.882956

12.137719

11.727572

12.122868

12.343019

13.261921

12.025981

2103.01653

Damiano Anselmi

Damiano Anselmi, Filippo Fruzza and Marco Piva

Renormalization-group techniques for single-field inflation in primordial cosmology and quantum gravity

35 pages; v2: expanded intro with vocabulary RG flow <-> cosmic RG flow, CQG

Class. Quantum Grav. 38 (2021) 225011

10.1088/1361-6382/ac2b07

null

hep-th astro-ph.CO gr-qc

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

We study inflation as a "cosmic" renormalization-group flow. The flow, which encodes the dependence on the background metric, is described by a running coupling $\alpha $, which parametrizes the slow roll, a de Sitter free, analytic beta function and perturbation spectra that are RG invariant in the superhorizon limit. Using RG invariance as a guiding principle, we classify the main types of flows according to the properties of their spectra, without referring to their origins from specific actions or models. Novel features include spectra with essential singularities in $\alpha $ and violations of the relation $r+8n_{\text{t}}=0$ to the leading order. Various classes of potentials studied in the literature can be described by means of the RG approach, even when the action includes a Weyl-squared term, while others are left out. In known cases, the classification helps identify the models that are ruled out by data. The RG approach is also able to generate spectra that cannot be derived from standard Lagrangian formulations.

[ { "created": "Tue, 2 Mar 2021 11:26:13 GMT", "version": "v1" }, { "created": "Mon, 1 Nov 2021 11:50:34 GMT", "version": "v2" } ]

2021-11-02

[ [ "Anselmi", "Damiano", "" ], [ "Fruzza", "Filippo", "" ], [ "Piva", "Marco", "" ] ]

We study inflation as a "cosmic" renormalization-group flow. The flow, which encodes the dependence on the background metric, is described by a running coupling $\alpha $, which parametrizes the slow roll, a de Sitter free, analytic beta function and perturbation spectra that are RG invariant in the superhorizon limit. Using RG invariance as a guiding principle, we classify the main types of flows according to the properties of their spectra, without referring to their origins from specific actions or models. Novel features include spectra with essential singularities in $\alpha $ and violations of the relation $r+8n_{\text{t}}=0$ to the leading order. Various classes of potentials studied in the literature can be described by means of the RG approach, even when the action includes a Weyl-squared term, while others are left out. In known cases, the classification helps identify the models that are ruled out by data. The RG approach is also able to generate spectra that cannot be derived from standard Lagrangian formulations.

2.285512

11.473277

13.2571

11.282598

11.69072

11.443977

11.449148

11.555207

11.47357

12.768804

10.847608

7.179935

10.802362

9.579781

7.951618

10.714258

8.348011

10.229517

9.951322

10.96373

7.853736

hep-th/0512333

Arvind Rajaraman

On the supersymmetric completion of the $R^4$ term in M-theory

14 pages, latex

Phys.Rev.D74:085018,2006

10.1103/PhysRevD.72.125008

null

hep-th

null

We examine the question of finding the supersymmetric completion of the $R^4$ term in M-theory. Using superfield methods, we present an eight derivative action in eight dimensions that has 32 preserved supersymmetries. We show also that this action has a hidden eleven-dimensional Lorentz invariance. It can thus be uplifted to give the complete set of bosonic terms in the M-theory eight derivative action.

[ { "created": "Thu, 29 Dec 2005 06:15:38 GMT", "version": "v1" } ]

2008-11-26

[ [ "Rajaraman", "Arvind", "" ] ]

We examine the question of finding the supersymmetric completion of the $R^4$ term in M-theory. Using superfield methods, we present an eight derivative action in eight dimensions that has 32 preserved supersymmetries. We show also that this action has a hidden eleven-dimensional Lorentz invariance. It can thus be uplifted to give the complete set of bosonic terms in the M-theory eight derivative action.

8.810864

7.431611

10.58027

7.266413

7.636617

7.797262

7.271335

6.908051

7.109488

9.654727

7.269964

7.64583

9.661702

7.825761

7.726015

7.464239

7.812966

7.919812

7.842519

9.483378

7.921487

hep-th/0010087

Michael Faux

M. Faux, D. Lust and B.A. Ovrut

An M-Theory Perspective on Heterotic K3 Orbifold Compactifications

58 pages, LaTeX

Int.J.Mod.Phys.A18:3273-3314,2003

10.1142/S0217751X0301574X

CU-TP-986, HU-EP 00/35, UPR-905T

hep-th

null

We analyze the structure of heterotic M-theory on K3 orbifolds by presenting a comprehensive sequence of M-theoretic models constructed on the basis of local anomaly cancellation. This is facilitated by extending the technology developed in our previous papers to allow one to determine "twisted" sector states in non-prime orbifolds. These methods should naturally generalize to four-dimensional models, which are of potential phenomenological interest.

[ { "created": "Wed, 11 Oct 2000 17:43:59 GMT", "version": "v1" } ]

2009-10-07

[ [ "Faux", "M.", "" ], [ "Lust", "D.", "" ], [ "Ovrut", "B. A.", "" ] ]

We analyze the structure of heterotic M-theory on K3 orbifolds by presenting a comprehensive sequence of M-theoretic models constructed on the basis of local anomaly cancellation. This is facilitated by extending the technology developed in our previous papers to allow one to determine "twisted" sector states in non-prime orbifolds. These methods should naturally generalize to four-dimensional models, which are of potential phenomenological interest.

17.348455

16.774534

18.688091

17.021338

18.528425

16.80718

17.723751

16.841188

17.145746

18.822229

16.175146

17.184172

16.814848

16.351244

18.038769

16.982533

16.645382

17.311686

16.690308

17.487785

16.568724

2302.08471

Sanhita Parihar

Suvankar Dutta, Debangshu Mukherjee and Sanhita Parihar

Higher Spin Gravity in $AdS_3$ and Folds on Fermi Surface

27 pages, 2 figures, typos corrected, explanation elaborated

null

10.1103/PhysRevD.107.106010

null

hep-th

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

In this paper, we introduce new sets of boundary conditions for higher spin gravity in $AdS_3$ where the boundary dynamics of spin two and other higher spin fields are governed by the interacting collective field theory Hamiltonian of Avan and Jevicki. We show that the time evolution of spin two and higher spin fields can be captured by the classical dynamics of folded fermi surfaces in the similar spirit of Lin, Lunin and Maldacena. We also construct infinite sequences of conserved charges showing the integrable structure of higher spin gravity (for spin 3) under the boundary conditions we considered. Further, we observe that there are two possible sequences of conserved charges depending on whether the underlying boundary fermions are non-relativistic or relativistic.

[ { "created": "Thu, 16 Feb 2023 18:29:03 GMT", "version": "v1" }, { "created": "Tue, 14 Mar 2023 14:41:50 GMT", "version": "v2" }, { "created": "Tue, 30 May 2023 14:34:33 GMT", "version": "v3" } ]

2023-05-31

[ [ "Dutta", "Suvankar", "" ], [ "Mukherjee", "Debangshu", "" ], [ "Parihar", "Sanhita", "" ] ]

In this paper, we introduce new sets of boundary conditions for higher spin gravity in $AdS_3$ where the boundary dynamics of spin two and other higher spin fields are governed by the interacting collective field theory Hamiltonian of Avan and Jevicki. We show that the time evolution of spin two and higher spin fields can be captured by the classical dynamics of folded fermi surfaces in the similar spirit of Lin, Lunin and Maldacena. We also construct infinite sequences of conserved charges showing the integrable structure of higher spin gravity (for spin 3) under the boundary conditions we considered. Further, we observe that there are two possible sequences of conserved charges depending on whether the underlying boundary fermions are non-relativistic or relativistic.

9.580283

9.36673

11.617882

8.754483

8.966612

8.448724

8.780188

8.759147

8.849478

11.623955

9.318697

8.638892

9.664621

8.816045

8.437231

8.546694

8.911594

8.565665

8.894281

9.84036

8.790161

0707.0680

Dionisio Bazeia

D. Bazeia, F.A. Brito, F.G. Costa

First-order framework and domain-wall/brane-cosmology correspondence

Revtex4, 10 pages, 7 figures; version to appear in PLB

Phys.Lett.B661:179-185,2008

10.1016/j.physletb.2008.02.016

null

hep-th

null

We address the possibility of finding domain wall solutions from cosmological solutions in brane cosmology. We find first-order equations for corresponding cosmology/domain wall solutions induced on 3-branes. The quadratic term of energy density in the induced Friedmann equation plays a non-standard role and we discuss the way the standard cosmological and domain wall models are recovered as the brane tension becomes large and show how they can be described by four-dimensional supergravity action in such a limit. Finally, we show that gravity on the 3-brane is locally localized as one moves away from the two-dimensional domain walls living on the brane.

[ { "created": "Wed, 4 Jul 2007 18:42:21 GMT", "version": "v1" }, { "created": "Fri, 27 Jul 2007 15:14:08 GMT", "version": "v2" }, { "created": "Wed, 16 Jan 2008 18:16:21 GMT", "version": "v3" }, { "created": "Mon, 11 Feb 2008 19:06:07 GMT", "version": "v4" } ]

2008-11-26

[ [ "Bazeia", "D.", "" ], [ "Brito", "F. A.", "" ], [ "Costa", "F. G.", "" ] ]

We address the possibility of finding domain wall solutions from cosmological solutions in brane cosmology. We find first-order equations for corresponding cosmology/domain wall solutions induced on 3-branes. The quadratic term of energy density in the induced Friedmann equation plays a non-standard role and we discuss the way the standard cosmological and domain wall models are recovered as the brane tension becomes large and show how they can be described by four-dimensional supergravity action in such a limit. Finally, we show that gravity on the 3-brane is locally localized as one moves away from the two-dimensional domain walls living on the brane.

15.185445

14.530745

14.936563

14.568836

14.918591

14.903784

14.345088

14.552622

14.683462

15.786092

14.655979

14.288678

15.345976

15.12721

14.715988

14.716269

14.445167

15.153408

14.663024

15.071177

14.518347

1912.04926

Mario Martone

Philip C. Argyres, Antoine Bourget and Mario Martone

On the moduli spaces of 4d $\mathcal{N} = 3$ SCFTs I: triple special K\"ahler structure

70 pages

null

hep-th

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

We initiate a systematic analysis of moduli spaces of vacua of four dimensional $\mathcal{N}=3$ SCFTs. Our analysis is based on the one hand on the properties of $\mathcal{N}=3$ chiral rings --- which we review in detail and contrast with chiral rings of theories with less supersymmetry --- and on the other hand on constraints coming from low-energy supersymmetry. This leads us to introduce a new type of geometric structure, which characterizes $\mathcal{N}=3$ SCFT moduli spaces, and that we call $triple\ special\ K\"ahler$ (TSK). A rank-$n$ TSK moduli space has complex dimension $3n$, and is singular at complex co-dimension 3 subspaces where charged states become massless. The structure of singularities defines a stratification of the TSK space in terms of lower-dimensional TSK manifolds.

[ { "created": "Tue, 10 Dec 2019 19:02:31 GMT", "version": "v1" } ]

2019-12-12

[ [ "Argyres", "Philip C.", "" ], [ "Bourget", "Antoine", "" ], [ "Martone", "Mario", "" ] ]

We initiate a systematic analysis of moduli spaces of vacua of four dimensional $\mathcal{N}=3$ SCFTs. Our analysis is based on the one hand on the properties of $\mathcal{N}=3$ chiral rings --- which we review in detail and contrast with chiral rings of theories with less supersymmetry --- and on the other hand on constraints coming from low-energy supersymmetry. This leads us to introduce a new type of geometric structure, which characterizes $\mathcal{N}=3$ SCFT moduli spaces, and that we call $triple\ special\ K\"ahler$ (TSK). A rank-$n$ TSK moduli space has complex dimension $3n$, and is singular at complex co-dimension 3 subspaces where charged states become massless. The structure of singularities defines a stratification of the TSK space in terms of lower-dimensional TSK manifolds.

6.104168

5.958455

6.706516

5.726874

5.847472

6.235416

6.125814

5.67481

5.754877

6.952438

5.582193

5.754318

6.088621

5.692425

5.631769

5.459335

5.536129

5.503173

5.709877

5.90839

5.610712

hep-th/0001136

Brandon Carter

Cancellation of linearised axion-dilaton self interaction divergence in strings

20 pages Latex. Contrib. to 1998 Peyresq meeting; to be published in Int. J. Theor. Phys

Int.J.Theor.Phys.38:2779-2804,1999

10.1023/A:1026639611705

null

hep-th

null

The force densities exerted on a localised material system by linearised interaction with fields of axionic and dilatonic type are shown to be describable very generally by relatively simple expressions that are well behaved for fields of purely external origin, but that will be subject to ultraviolet divergences requiring regularisation for fields arising from self interaction in submanifold supported ``brane'' type systems. In the particular case of 2-dimensionally supported, i.e. string type, system in an ordinary 4-dimensional background it is shown how the result of this regularisation is expressible in terms of the worldsheet curvature vector $K^\mu$, and more particularly that (contrary to what was suggested by early work on this subject) for a string of Nambu Goto type the divergent contribution from the dilatonic self action will always be directed oppositely to its axionic counterpart. This makes it possible for the dilatonic and axionic divergences to entirely cancel each other out (so that there is no need of a renormalisation to get rid of ``infinities'') when the relevant coupling coefficents are related by the appropriate proportionality condition provided by the low energy limit of superstring theory.

[ { "created": "Fri, 21 Jan 2000 11:25:15 GMT", "version": "v1" } ]

2011-04-15

[ [ "Carter", "Brandon", "" ] ]

The force densities exerted on a localised material system by linearised interaction with fields of axionic and dilatonic type are shown to be describable very generally by relatively simple expressions that are well behaved for fields of purely external origin, but that will be subject to ultraviolet divergences requiring regularisation for fields arising from self interaction in submanifold supported ``brane'' type systems. In the particular case of 2-dimensionally supported, i.e. string type, system in an ordinary 4-dimensional background it is shown how the result of this regularisation is expressible in terms of the worldsheet curvature vector $K^\mu$, and more particularly that (contrary to what was suggested by early work on this subject) for a string of Nambu Goto type the divergent contribution from the dilatonic self action will always be directed oppositely to its axionic counterpart. This makes it possible for the dilatonic and axionic divergences to entirely cancel each other out (so that there is no need of a renormalisation to get rid of ``infinities'') when the relevant coupling coefficents are related by the appropriate proportionality condition provided by the low energy limit of superstring theory.

13.038268

13.043377

12.874511

12.708317

12.922715

13.427577

13.221741

12.697659

13.152857

13.889963

12.799933

12.972933

12.471504

12.619909

12.677068

12.479159

12.360735

12.436517

12.834529

12.899268

12.748766

2211.10191

Daniel Panizo

Ulf Danielsson, Oscar Henriksson, Daniel Panizo

A stringy realization of a small and positive cosmological constant in dark bubble cosmology

20 pages, 4 figures

null

10.1103/PhysRevD.107.026020

null

hep-th gr-qc

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

In this paper we construct a stringy embedding of the dark bubble model of an expanding 4D cosmology with the help of branes rotating in extra dimensions. The universe rides a bubble which has nucleated in an unstable higher dimensional background. Our construction is therefore a string theoretical realization of Vilenkin's quantum cosmology. While the cosmological constant vanishes at lowest order, loop corrections predicted by the Weak Gravity Conjecture can induce a phenomenologically viable value. The model predicts the existence of large extra dimensions compatible with observational constraints, and we note a possible connection with the dark dimension proposal.

[ { "created": "Fri, 18 Nov 2022 12:24:01 GMT", "version": "v1" } ]

2023-02-08

[ [ "Danielsson", "Ulf", "" ], [ "Henriksson", "Oscar", "" ], [ "Panizo", "Daniel", "" ] ]

In this paper we construct a stringy embedding of the dark bubble model of an expanding 4D cosmology with the help of branes rotating in extra dimensions. The universe rides a bubble which has nucleated in an unstable higher dimensional background. Our construction is therefore a string theoretical realization of Vilenkin's quantum cosmology. While the cosmological constant vanishes at lowest order, loop corrections predicted by the Weak Gravity Conjecture can induce a phenomenologically viable value. The model predicts the existence of large extra dimensions compatible with observational constraints, and we note a possible connection with the dark dimension proposal.

17.629335

12.716303

15.283933

14.15625

14.879712

13.808787

14.13901

13.457341

13.271767

17.021687

13.507012

14.008836

14.91247

14.612247

14.844348

14.604355

14.688675

14.437598

15.438091

15.059109

14.537196

1809.08698

Mehdi Sadeghi

Black Brane Solution in Rastall AdS Massive Gravity and Viscosity Bound

Accepted in Modern Physics Letters A

MPLA (2018)

10.1142/S0217732318502206

null

hep-th

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

In this paper, we introduced the black brane solution in Rastall theory and in the context of massive gravity. The ratio of shear viscosity to entropy density is calculated for this solution. Our result shows that the KSS bound violates for this theory.

[ { "created": "Sun, 23 Sep 2018 23:47:50 GMT", "version": "v1" } ]

2018-10-29

[ [ "Sadeghi", "Mehdi", "" ] ]

In this paper, we introduced the black brane solution in Rastall theory and in the context of massive gravity. The ratio of shear viscosity to entropy density is calculated for this solution. Our result shows that the KSS bound violates for this theory.

9.597677

5.585614

7.81509

6.295988

5.782251

6.136256

6.834884

6.284855

6.375149

8.449422

6.437844

7.23316

7.819856

7.374499

6.856027

7.301449

7.367387

7.132778

7.527185

7.815016

7.791414

hep-th/0702213

Mariano Cadoni

M. Cadoni, R. De Leo, G. Gaeta

A symmetry breaking mechanism for selecting the speed of relativistic solitons

23 pages, no figures

J.Phys.A40:8517-8534,2007

10.1088/1751-8113/40/29/022

null

hep-th math-ph math.MP nlin.PS q-bio.BM

null

We propose a mechanism for fixing the velocity of relativistic soliton based on the breaking of the Lorentz symmetry of the sine-Gordon (SG) model. The proposal is first elaborated for a molecular chain model, as the simple pendulum limit of a double pendulums chain. It is then generalized to a full class of two-dimensional field theories of the sine-Gordon type. From a phenomenological point of view, the mechanism allows one to select the speed of a SG soliton just by tuning elastic couplings constants and kinematical parameters. From a fundamental, field-theoretical point of view we show that the characterizing features of relativistic SG solitons (existence of conserved topological charges and stability) may be still preserved even if the Lorentz symmetry is broken and a soliton of a given speed is selected.

[ { "created": "Tue, 27 Feb 2007 16:47:49 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cadoni", "M.", "" ], [ "De Leo", "R.", "" ], [ "Gaeta", "G.", "" ] ]

We propose a mechanism for fixing the velocity of relativistic soliton based on the breaking of the Lorentz symmetry of the sine-Gordon (SG) model. The proposal is first elaborated for a molecular chain model, as the simple pendulum limit of a double pendulums chain. It is then generalized to a full class of two-dimensional field theories of the sine-Gordon type. From a phenomenological point of view, the mechanism allows one to select the speed of a SG soliton just by tuning elastic couplings constants and kinematical parameters. From a fundamental, field-theoretical point of view we show that the characterizing features of relativistic SG solitons (existence of conserved topological charges and stability) may be still preserved even if the Lorentz symmetry is broken and a soliton of a given speed is selected.

10.991451

11.423344

11.700089

10.827117

11.450759

11.001212

11.130758

10.922458

10.615495

11.892933

10.913212

10.710135

11.233587

10.76635

10.905908

10.743321

10.494958

10.644818

10.723381

11.321111

10.752313

hep-th/0108089

Andrew Cohen

Nima Arkani-Hamed, Andrew Cohen, Howard Georgi

Accelerated Unification

4 pages, revtex4

null

HUTP-01/A040, BUHEP-01-18, LBNL-48727

hep-th hep-ph

null

We construct four dimensional gauge theories in which the successful supersymmetric unification of gauge couplings is preserved but accelerated by N-fold replication of the MSSM gauge and Higgs structure. This results in a low unification scale of $10^{13/N}$ TeV.

[ { "created": "Mon, 13 Aug 2001 19:19:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Arkani-Hamed", "Nima", "" ], [ "Cohen", "Andrew", "" ], [ "Georgi", "Howard", "" ] ]

We construct four dimensional gauge theories in which the successful supersymmetric unification of gauge couplings is preserved but accelerated by N-fold replication of the MSSM gauge and Higgs structure. This results in a low unification scale of $10^{13/N}$ TeV.

21.931274

25.179583

16.81785

15.40749

23.140545

22.238054

20.777264

19.521387

17.800112

18.564882

20.87273

17.345966

18.145966

18.048822

18.27387

18.228334

19.965214

17.580669

18.484474

19.517838

18.655531

1410.7814

Timo Weigand

Christoph Mayrhofer, Eran Palti, Oskar Till, Timo Weigand

On Discrete Symmetries and Torsion Homology in F-Theory

12 pages in 2-column style, 4 figures; v2: references added

null

hep-th

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

We study the relation between discrete gauge symmetries in F-theory compactifications and torsion homology on the associated Calabi-Yau manifold. Focusing on the simplest example of a $\mathbb Z_2$ symmetry, we show that there are two physically distinct ways that such a discrete gauge symmetry can arise. First, compactifications of M-Theory on Calabi-Yau threefolds which support a genus-one fibration with a bi-section are known to be dual to six-dimensional F-theory vacua with a $\mathbb Z_2$ gauge symmetry. We show that the resulting five-dimensional theories do not have a $\mathbb Z_2$ symmetry but that the latter emerges only in the F-theory decompactification limit. Accordingly the genus-one fibred Calabi-Yau manifolds do not exhibit discrete torsion. Associated to the bi-section fibration is a Jacobian fibration which does support a section. Compactifying on these related but distinct varieties does lead to a $\mathbb Z_2$ symmetry in five dimensions and, accordingly, we find explicitly an associated discrete torsion. We identify the expected particle and membrane system of the discrete symmetry in terms of wrapped M2 and M5 branes and present a field-theory description of the physics for both cases in terms of circle reductions of six-dimensional theories. Our results and methods generalise straightforwardly to larger discrete symmetries and to four-dimensional compactifications.

[ { "created": "Tue, 28 Oct 2014 21:10:31 GMT", "version": "v1" }, { "created": "Tue, 13 Jan 2015 08:41:50 GMT", "version": "v2" } ]

2015-01-14

[ [ "Mayrhofer", "Christoph", "" ], [ "Palti", "Eran", "" ], [ "Till", "Oskar", "" ], [ "Weigand", "Timo", "" ] ]

We study the relation between discrete gauge symmetries in F-theory compactifications and torsion homology on the associated Calabi-Yau manifold. Focusing on the simplest example of a $\mathbb Z_2$ symmetry, we show that there are two physically distinct ways that such a discrete gauge symmetry can arise. First, compactifications of M-Theory on Calabi-Yau threefolds which support a genus-one fibration with a bi-section are known to be dual to six-dimensional F-theory vacua with a $\mathbb Z_2$ gauge symmetry. We show that the resulting five-dimensional theories do not have a $\mathbb Z_2$ symmetry but that the latter emerges only in the F-theory decompactification limit. Accordingly the genus-one fibred Calabi-Yau manifolds do not exhibit discrete torsion. Associated to the bi-section fibration is a Jacobian fibration which does support a section. Compactifying on these related but distinct varieties does lead to a $\mathbb Z_2$ symmetry in five dimensions and, accordingly, we find explicitly an associated discrete torsion. We identify the expected particle and membrane system of the discrete symmetry in terms of wrapped M2 and M5 branes and present a field-theory description of the physics for both cases in terms of circle reductions of six-dimensional theories. Our results and methods generalise straightforwardly to larger discrete symmetries and to four-dimensional compactifications.

5.949127

6.29081

7.369979

6.193257

6.295018

6.858423

6.639092

6.261435

6.398657

8.147236

6.225712

6.218727

6.618483

6.114724

6.11417

6.017686

6.172315

6.014828

6.172096

6.572567

5.947335

hep-th/9601001

G. v. Gehlen

G. von Gehlen

Integrable Z_n-Chiral Potts Model: The Missing Rapidity-Momentum Relation

8 pages, LaTeX with sprocl.sty (included), 3 postscript figures included using psfig.sty

null

BONN-TH-95-21

hep-th

null

The McCoy-Roan integral representation for gaps of the integrable Z_n- symmetric Chiral Potts quantum chain is used to calculate the boundary of the incommensurable phase for various n. In the limit n -> \infty an analytic formula for this phase boundary is obtained. The McCoy-Roan formula gives the gaps in terms of a rapidity. For the lowest gap we conjecture the relation of this rapidity to the physical momentum in the high-temperature limit using symmetry properties and comparing the McCoy-Roan formula to high-temperature expansions and finite-size data.

[ { "created": "Tue, 2 Jan 1996 12:18:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "von Gehlen", "G.", "" ] ]

The McCoy-Roan integral representation for gaps of the integrable Z_n- symmetric Chiral Potts quantum chain is used to calculate the boundary of the incommensurable phase for various n. In the limit n -> \infty an analytic formula for this phase boundary is obtained. The McCoy-Roan formula gives the gaps in terms of a rapidity. For the lowest gap we conjecture the relation of this rapidity to the physical momentum in the high-temperature limit using symmetry properties and comparing the McCoy-Roan formula to high-temperature expansions and finite-size data.

17.003998

15.363142

17.674498

13.908969

16.162298

14.41287

13.821321

13.377534

14.965679

18.14443

13.356072

13.713749

14.880794

13.525764

13.706666

13.612826

13.064123

13.4553

13.616891

15.208626

14.342044

hep-th/9312003

null

D.Amati S.Elitzur and E.Rabinovici

On Induced Gravity in 2-d Topological Theories

38, tex, 160/93/ep

Nucl.Phys. B418 (1994) 45-80

10.1016/0550-3213(94)90238-0

null

hep-th

null

We study 2-d $\phi F$ gauge theories with the objective to understand, also at the quantum level, the emergence of induced gravity. The wave functionals - representing the eigenstates of a vanishing flat potential - are obtained in the $\phi$ representation. The composition of the space they describe is then analyzed: the state corresponding to the singlet representation of the gauge group describes a topological universe. For other representations a metric which is invariant under the residual gauge group is induced, apart from possible topological obstructions. Being inherited from the group metric it is rather rigid.

[ { "created": "Wed, 1 Dec 1993 10:50:51 GMT", "version": "v1" } ]

2009-10-22

[ [ "Elitzur", "D. Amati S.", "" ], [ "Rabinovici", "E.", "" ] ]

We study 2-d $\phi F$ gauge theories with the objective to understand, also at the quantum level, the emergence of induced gravity. The wave functionals - representing the eigenstates of a vanishing flat potential - are obtained in the $\phi$ representation. The composition of the space they describe is then analyzed: the state corresponding to the singlet representation of the gauge group describes a topological universe. For other representations a metric which is invariant under the residual gauge group is induced, apart from possible topological obstructions. Being inherited from the group metric it is rather rigid.

24.966436

23.245531

24.293161

23.307055

23.132431

22.755148

24.084148

21.727676

23.990383

27.33906

22.239464

23.184803

24.510427

23.295954

22.730179

23.02405

23.097601

22.815367

24.159004

23.23373

22.443356

1108.4157

S. Q. Wu

Shuang-Qing Wu

General Rotating Charged Kaluza-Klein AdS Black Holes in Higher Dimensions

5 pages, revtex4.cls

Phys.Rev.D83:121502,2011

10.1103/PhysRevD.83.121502

null

hep-th gr-qc

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

I construct exact solutions for general nonextremal rotating, charged Kaluza-Klein black holes with a cosmological constant and with arbitrary angular momenta in all higher dimensions. I then investigate their thermodynamics and find their generalizations with the NUT charges. The metrics are given in both Boyer-Lindquist coordinates and a form very similar to the famous Kerr-Schild ansatz, which highlights its potential application to include multiple electric charges into solutions yet to be found in gauged supergravity. It is also observed that the metric ansatz in $D = 4$ dimensions is similar to those previously suggested by Yilmaz and later by Bekenstein.

[ { "created": "Sun, 21 Aug 2011 02:49:00 GMT", "version": "v1" } ]

2011-08-23

[ [ "Wu", "Shuang-Qing", "" ] ]

I construct exact solutions for general nonextremal rotating, charged Kaluza-Klein black holes with a cosmological constant and with arbitrary angular momenta in all higher dimensions. I then investigate their thermodynamics and find their generalizations with the NUT charges. The metrics are given in both Boyer-Lindquist coordinates and a form very similar to the famous Kerr-Schild ansatz, which highlights its potential application to include multiple electric charges into solutions yet to be found in gauged supergravity. It is also observed that the metric ansatz in $D = 4$ dimensions is similar to those previously suggested by Yilmaz and later by Bekenstein.

12.732144

12.539967

12.820065

11.246332

12.258801

12.76649

13.367513

10.9622

11.455044

12.898746

11.244865

12.249094

12.369677

11.374

12.058675

11.79369

11.9358

11.868866

11.875564

12.368842

11.690471

hep-th/0701115

Paul Smyth

Andres Collinucci, Paul Smyth and Antoine Van Proeyen

The Stability of D-term Cosmic Strings

9 pages, contribution to the proceedings of the RTN project `Constituents, Fundamental Forces and Symmetries of the Universe' conference in Napoli, October 9 - 13, 2006

Fortsch.Phys.55:686-691,2007

10.1002/prop.200610364

KUL-TF-07/04

hep-th

null

In this note, which is based on hep-th/0611111, we review the stability of the static, positive deficit angle D-term string solutions of D=4, N=1 supergravity with a constant Fayet-Iliopoulos term. We prove the semi-classical stability of this class of solutions using standard positive energy theorem techniques. In particular, we discuss how the negative deficit angle D-term string, which also solves the Killing spinor equations, violates the dominant energy condition and so is excluded from our arguments.

[ { "created": "Fri, 12 Jan 2007 14:08:27 GMT", "version": "v1" } ]

2008-11-26

[ [ "Collinucci", "Andres", "" ], [ "Smyth", "Paul", "" ], [ "Van Proeyen", "Antoine", "" ] ]

In this note, which is based on hep-th/0611111, we review the stability of the static, positive deficit angle D-term string solutions of D=4, N=1 supergravity with a constant Fayet-Iliopoulos term. We prove the semi-classical stability of this class of solutions using standard positive energy theorem techniques. In particular, we discuss how the negative deficit angle D-term string, which also solves the Killing spinor equations, violates the dominant energy condition and so is excluded from our arguments.

9.812874

8.764132

9.719183

8.521307

9.614708

9.223962

8.856377

7.944821

8.519345

11.094909

8.642262

8.615901

8.766451

8.316471

8.187922

8.410497

8.49159

8.150445

8.280382

8.99052

8.565228

1610.07972

Antonio Gonz\'alez-Arroyo

Fernando Chamizo and Antonio Gonzalez-Arroyo

Tachyonic instabilities in 2+1 dimensional Yang-Mills theory and its connection to Number Theory

latex 20 pages, 1 figure

null

10.1088/1751-8121/aa7346

IFT-UAM/CSIC-16-088; FTUAM-16-34

hep-th math-ph math.MP

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

We consider the $2+1$ dimensional Yang-Mills theory with gauge group $\text{SU}(N)$ on a flat 2-torus under twisted boundary conditions. We study the possibility of phase transitions (tachyonic instabilities) when $N$ and the volume vary and certain chromomagnetic flux associated to the topology of the bundle can be adjusted. Under natural assumptions about how to match the perturbative regime and the expected confinement, we prove that the absence of tachyonic instabilities is related to some problems in number theory, namely the Diophantine approximation of irreducible fractions by other fractions of smaller denominator.

[ { "created": "Tue, 25 Oct 2016 17:20:34 GMT", "version": "v1" } ]

2017-06-28

[ [ "Chamizo", "Fernando", "" ], [ "Gonzalez-Arroyo", "Antonio", "" ] ]

We consider the $2+1$ dimensional Yang-Mills theory with gauge group $\text{SU}(N)$ on a flat 2-torus under twisted boundary conditions. We study the possibility of phase transitions (tachyonic instabilities) when $N$ and the volume vary and certain chromomagnetic flux associated to the topology of the bundle can be adjusted. Under natural assumptions about how to match the perturbative regime and the expected confinement, we prove that the absence of tachyonic instabilities is related to some problems in number theory, namely the Diophantine approximation of irreducible fractions by other fractions of smaller denominator.

9.647445

11.437888

10.779547

9.669685

10.168076

10.729423

10.418218

9.940156

10.286374

11.47714

9.963495

9.860139

9.818074

9.628951

10.262635

9.930688

9.889505

10.262586

9.517903

9.833175

9.689142

1504.02848

Nobuyuki Sawado

Yuki Amari, Pawel Klimas, Nobuyuki Sawado, Yuta Tamaki

Potentials and the vortex solutions in the $CP^N$ Skyrme-Faddeev model

12 pages, 5 figures

Phys. Rev. D 92, 045007 (2015)

10.1103/PhysRevD.92.045007

null

hep-th math-ph math.MP nlin.SI

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

The extended Skyrme-Faddeev model possesses vortex solutions in a (3+1) dimensional Minkowski space-time with target space $CP^N$. They have finite energy per unit of length and contain waves propagating along vortices with the speed of light. We introduce various types of the potentials which correspond with holomorphic solutions of the integrable sector and also with several numerical solutions outside of this sector. The presented solutions constitute a strong indication that the current model contains large class of solutions with much wider range of coupling constants than the previously known exact solution.

[ { "created": "Sat, 11 Apr 2015 07:12:03 GMT", "version": "v1" } ]

2015-08-12

[ [ "Amari", "Yuki", "" ], [ "Klimas", "Pawel", "" ], [ "Sawado", "Nobuyuki", "" ], [ "Tamaki", "Yuta", "" ] ]

The extended Skyrme-Faddeev model possesses vortex solutions in a (3+1) dimensional Minkowski space-time with target space $CP^N$. They have finite energy per unit of length and contain waves propagating along vortices with the speed of light. We introduce various types of the potentials which correspond with holomorphic solutions of the integrable sector and also with several numerical solutions outside of this sector. The presented solutions constitute a strong indication that the current model contains large class of solutions with much wider range of coupling constants than the previously known exact solution.

18.336941

14.572776

17.823444

13.624223

15.038828

14.666133

13.341322

13.38805

14.337542

21.088673

13.807636

15.227624

16.503937

15.774538

15.603533

15.5429

15.139766

15.28429

15.253922

17.228628

15.696268

hep-th/9404064

Emili Elizalde

E. Elizalde, S.D. Odintsov and I.L. Shapiro

Asymptotic Regimes in Quantum Gravity at Large Distances and Running Newtonian and Cosmological Constants

9 pages, LaTeX file, UB-ECM-PF 94/11

Class.Quant.Grav.11:1607-1614,1994

10.1088/0264-9381/11/7/004

null

hep-th

null

We consider a multiplicatively renormalizable higher-derivative scalar theory which is used as an effective theory for quantum gravity at large distances (infrared phase of quantum gravity). The asymptotic regimes (in particular, the asymptotically free infrared regime) for the coupling constants ---specifically the Newtonian and the cosmological constant--- are obtained. The running of the Newton and cosmological constants in the infrared asymptotically free regime may be relevant for solving the cosmological constant problem and for estimating the leading-log corrections to the static gravitational potential.

[ { "created": "Tue, 12 Apr 1994 18:23:59 GMT", "version": "v1" } ]

2010-04-06

[ [ "Elizalde", "E.", "" ], [ "Odintsov", "S. D.", "" ], [ "Shapiro", "I. L.", "" ] ]

We consider a multiplicatively renormalizable higher-derivative scalar theory which is used as an effective theory for quantum gravity at large distances (infrared phase of quantum gravity). The asymptotic regimes (in particular, the asymptotically free infrared regime) for the coupling constants ---specifically the Newtonian and the cosmological constant--- are obtained. The running of the Newton and cosmological constants in the infrared asymptotically free regime may be relevant for solving the cosmological constant problem and for estimating the leading-log corrections to the static gravitational potential.

10.867162

8.4937

9.687976

9.019791

8.853741

8.963192

9.963389

9.917329

8.732561

10.651423

9.70304

9.809033

9.748244

9.20255

9.431279

9.501863

9.56198

9.473984

9.554103

9.733058

9.961451

hep-th/0007226

Shiraz Minwalla

Rajesh Gopakumar, Shiraz Minwalla and Andrew Strominger

Symmetry Restoration and Tachyon Condensation in Open String Theory

15 pages, harvmac

JHEP 0104:018,2001

10.1088/1126-6708/2001/04/018

null

hep-th

null

It has recently been argued that D-branes in bosonic string theory can be described as noncommutative solitons, outside whose core the tachyon is condensed to its ground state. We conjecture that, in addition, the local U(1) gauge symmetry is restored to a $U(\infty)$ symmetry in the vacuum outside this core. We present new solutions obeying this boundary condition. The tension of these solitons agrees exactly with the expected D-brane tension for arbitrary noncommutativity parameter $\t$, which effectively becomes a dynamical variable. The restored $U(\infty)$ eliminates unwanted extra modes which might otherwise appear outside the soliton core.

[ { "created": "Thu, 27 Jul 2000 21:39:53 GMT", "version": "v1" } ]

2009-10-31

[ [ "Gopakumar", "Rajesh", "" ], [ "Minwalla", "Shiraz", "" ], [ "Strominger", "Andrew", "" ] ]

It has recently been argued that D-branes in bosonic string theory can be described as noncommutative solitons, outside whose core the tachyon is condensed to its ground state. We conjecture that, in addition, the local U(1) gauge symmetry is restored to a $U(\infty)$ symmetry in the vacuum outside this core. We present new solutions obeying this boundary condition. The tension of these solitons agrees exactly with the expected D-brane tension for arbitrary noncommutativity parameter $\t$, which effectively becomes a dynamical variable. The restored $U(\infty)$ eliminates unwanted extra modes which might otherwise appear outside the soliton core.

9.313877

8.209645

9.235286

8.008641

8.258135

8.430975

8.296104

8.132662

7.97879

10.028324

7.516432

8.036337

8.585428

8.095994

8.162735

8.225982

8.131809

8.075376

8.247727

8.699329

7.909855

hep-th/0012103

Daniel Zwanziger

Laurent Baulieu and Daniel Zwanziger

From stochastic quantization to bulk quantization: Schwinger-Dyson equations and S-matrix

26 pages, Tex, 1 figure includes 2 graphs

JHEP 0108:016,2001

10.1088/1126-6708/2001/08/016

NYU-TH-30.5.00

hep-th

null

In stochastic quantization, ordinary 4-dimensional Euclidean quantum field theory is expressed as a functional integral over fields in 5 dimensions with a fictitious 5th time. This is advantageous, in particular for gauge theories, because it allows a different type of gauge fixing that avoids the Gribov problem. Traditionally, in this approach, the fictitious 5th time is the analog of computer time in a Monte Carlo simulation of 4-dimensional Euclidean fields. A Euclidean probability distribution which depends on the 5th time relaxes to an equilibrium distribution. However a broader framework, which we call ``bulk quantization", is required for extension to fermions, and for the increased power afforded by the higher symmetry of the 5-dimensional action that is topological when expressed in terms of auxiliary fields. Within the broader framework, we give a direct proof by means of Schwinger-Dyson equations that a time-slice of the 5-dimensional theory is equivalent to the usual 4-dimensional theory. The proof does not rely on the conjecture that the relevant stochastic process relaxes to an equilibrium distribution. Rather, it depends on the higher symmetry of the 5-dimensional action which includes a BRST-type topological invariance, and invariance under translation and inversion in the 5-th time. We express the physical S-matrix directly in terms of the truncated 5-dimensional correlation functions, for which ``going off the mass-shell'' means going from the 3 physical degrees of freedom to 5 independent variables. We derive the Landau-Cutokosky rules of the 5-dimensional theory which include the physical unitarity relation.

[ { "created": "Tue, 12 Dec 2000 15:40:42 GMT", "version": "v1" }, { "created": "Wed, 13 Dec 2000 14:26:14 GMT", "version": "v2" }, { "created": "Wed, 20 Dec 2000 19:43:58 GMT", "version": "v3" } ]

2010-02-03

[ [ "Baulieu", "Laurent", "" ], [ "Zwanziger", "Daniel", "" ] ]

In stochastic quantization, ordinary 4-dimensional Euclidean quantum field theory is expressed as a functional integral over fields in 5 dimensions with a fictitious 5th time. This is advantageous, in particular for gauge theories, because it allows a different type of gauge fixing that avoids the Gribov problem. Traditionally, in this approach, the fictitious 5th time is the analog of computer time in a Monte Carlo simulation of 4-dimensional Euclidean fields. A Euclidean probability distribution which depends on the 5th time relaxes to an equilibrium distribution. However a broader framework, which we call ``bulk quantization", is required for extension to fermions, and for the increased power afforded by the higher symmetry of the 5-dimensional action that is topological when expressed in terms of auxiliary fields. Within the broader framework, we give a direct proof by means of Schwinger-Dyson equations that a time-slice of the 5-dimensional theory is equivalent to the usual 4-dimensional theory. The proof does not rely on the conjecture that the relevant stochastic process relaxes to an equilibrium distribution. Rather, it depends on the higher symmetry of the 5-dimensional action which includes a BRST-type topological invariance, and invariance under translation and inversion in the 5-th time. We express the physical S-matrix directly in terms of the truncated 5-dimensional correlation functions, for which ``going off the mass-shell'' means going from the 3 physical degrees of freedom to 5 independent variables. We derive the Landau-Cutokosky rules of the 5-dimensional theory which include the physical unitarity relation.

9.870952

10.75209

11.202949

10.013024

11.126789

11.777353

11.174176

10.323485

10.083642

12.049519

10.235147

9.650638

10.01174

9.609086

9.798759

9.987782

10.115634

9.562756

9.822017

9.862328

9.608541

1102.4501

Marco Cariglia

Marco Cariglia, Pavel Krtous, David Kubiznak

Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets

37 pages, no figures

Phys.Rev.D84:024004,2011

10.1103/PhysRevD.84.024004

null

hep-th gr-qc

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

In this paper we derive the most general first-order symmetry operator commuting with the Dirac operator in all dimensions and signatures. Such an operator splits into Clifford even and Clifford odd parts which are given in terms of odd Killing-Yano and even closed conformal Killing-Yano inhomogeneous forms respectively. We study commutators of these symmetry operators and give necessary and sufficient conditions under which they remain of the first-order. In this specific setting we can introduce a Killing-Yano bracket, a bilinear operation acting on odd Killing-Yano and even closed conformal Killing-Yano forms, and demonstrate that it is closely related to the Schouten-Nijenhuis bracket. An important non-trivial example of vanishing Killing-Yano brackets is given by Dirac symmetry operators generated from the principal conformal Killing-Yano tensor [hep-th/0612029]. We show that among these operators one can find a complete subset of mutually commuting operators. These operators underlie separability of the Dirac equation in Kerr-NUT-(A)dS spacetimes in all dimensions [arXiv:0711.0078].

[ { "created": "Tue, 22 Feb 2011 13:40:29 GMT", "version": "v1" } ]

2011-08-09

[ [ "Cariglia", "Marco", "" ], [ "Krtous", "Pavel", "" ], [ "Kubiznak", "David", "" ] ]

In this paper we derive the most general first-order symmetry operator commuting with the Dirac operator in all dimensions and signatures. Such an operator splits into Clifford even and Clifford odd parts which are given in terms of odd Killing-Yano and even closed conformal Killing-Yano inhomogeneous forms respectively. We study commutators of these symmetry operators and give necessary and sufficient conditions under which they remain of the first-order. In this specific setting we can introduce a Killing-Yano bracket, a bilinear operation acting on odd Killing-Yano and even closed conformal Killing-Yano forms, and demonstrate that it is closely related to the Schouten-Nijenhuis bracket. An important non-trivial example of vanishing Killing-Yano brackets is given by Dirac symmetry operators generated from the principal conformal Killing-Yano tensor [hep-th/0612029]. We show that among these operators one can find a complete subset of mutually commuting operators. These operators underlie separability of the Dirac equation in Kerr-NUT-(A)dS spacetimes in all dimensions [arXiv:0711.0078].

6.857753

7.315997

7.462899

6.764477

7.169082

7.22294

6.679934

6.682455

6.929121

8.702167

6.967698

6.651742

7.002684

6.823201

6.886837

6.836359

6.722193

6.828098

6.915537

6.981418

6.651867

hep-th/9404177

Chalmers

Gordon Chalmers

Extended BPH Renormalization of Cutoff Scalar Field Theories

24 pages, and 4 pp figures, UCLA/93/TEP/45

Phys.Rev. D53 (1996) 7143-7156

10.1103/PhysRevD.53.7143

null

hep-th

null

We show that general cutoff scalar field theories in four dimensions are perturbatively renormalizable through the use of diagrammatic techniques and an adapted BPH renormalization method. Weinberg's convergence theorem is used to show that operators in the Lagrangian with dimension greater than four, which are divided by powers of the cutoff, produce perturbatively only local divergences in the two-, three-, and four-point correlation functions. We also show that the renormalized Green's functions are the same as in ordinary $\Phi^4$ theory up to corrections suppressed by inverse powers of the cutoff. These conclusions are consistent with those of existing proofs based on the renormalization group.

[ { "created": "Fri, 29 Apr 1994 04:13:42 GMT", "version": "v1" } ]

2009-10-28

[ [ "Chalmers", "Gordon", "" ] ]

We show that general cutoff scalar field theories in four dimensions are perturbatively renormalizable through the use of diagrammatic techniques and an adapted BPH renormalization method. Weinberg's convergence theorem is used to show that operators in the Lagrangian with dimension greater than four, which are divided by powers of the cutoff, produce perturbatively only local divergences in the two-, three-, and four-point correlation functions. We also show that the renormalized Green's functions are the same as in ordinary $\Phi^4$ theory up to corrections suppressed by inverse powers of the cutoff. These conclusions are consistent with those of existing proofs based on the renormalization group.

7.478791

7.786744

8.025318

7.850939

8.248118

8.435737

7.839606

7.40325

7.428013

8.520251

7.625772

7.430267

7.803859

7.538638

7.820035

7.627682

7.624095

7.270029

7.426318

7.987536

7.275459

hep-th/9701122

Marco Laucelli Meana

Marco Laucelli Meana, M.A.R. Osorio, and Jes\'us Puente Pe\~nalba (Universidad de Oviedo, Spain)

The String Density of States from The Convolution Theorem

15 pages, LaTeX, epsf.sty and a4.sty, 5 figures in PostScript

Phys.Lett. B400 (1997) 275-283

10.1016/S0370-2693(97)00333-X

FFUOV-97/01

hep-th

null

We study the microcanonical density of states and the thermal properties of a bosonic string gas starting from a calculation of the Helmholtz free energy in the S-representation. By adding more and more strings to the single string system, we induce that, for infinite volume, there is no negative specific heat region but a transition at a finite value of the energy per string from the low energy regime to a region of infinite specific heat at the Hagedorn temperature. Forcing the description of this phase in terms of strings gives a picture in which there is a very fat string in a sea of low energetic ones. We argue that the necessary changing of this description should not change the fact that perturbatively $T_H$ is a maximum temperature of the system.

[ { "created": "Thu, 23 Jan 1997 19:46:20 GMT", "version": "v1" } ]

2015-06-26

[ [ "Meana", "Marco Laucelli", "", "Universidad de Oviedo, Spain" ], [ "Osorio", "M. A. R.", "", "Universidad de Oviedo, Spain" ], [ "Peñalba", "Jesús Puente", "", "Universidad de Oviedo, Spain" ] ]

We study the microcanonical density of states and the thermal properties of a bosonic string gas starting from a calculation of the Helmholtz free energy in the S-representation. By adding more and more strings to the single string system, we induce that, for infinite volume, there is no negative specific heat region but a transition at a finite value of the energy per string from the low energy regime to a region of infinite specific heat at the Hagedorn temperature. Forcing the description of this phase in terms of strings gives a picture in which there is a very fat string in a sea of low energetic ones. We argue that the necessary changing of this description should not change the fact that perturbatively $T_H$ is a maximum temperature of the system.

14.729903

15.465463

15.757529

14.437003

14.680956

15.669937

15.351818

14.861123

14.09504

16.737099

14.442808

14.758862

15.214502

14.492866

14.16045

14.974624

14.65284

14.80033

14.682647

15.367479

14.802687

2406.10051

Johannes Broedel

Konstantin Baune, Johannes Broedel, Egor Im, Artyom Lisitsyn, Federico Zerbini

Schottky-Kronecker forms and hyperelliptic polylogarithms

38 pages, 8 figures

null

hep-th math-ph math.MP

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

Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronecker in the 19th century. In this article, we employ the Schottky parametrization of a Riemann surface to construct higher-genus analogues of Kronecker's generating series, which we refer to as Schottky-Kronecker forms. Our explicit construction generalizes ideas from Bernard's higher-genus construction of the Knizhnik-Zamolodchikov connection. Integration kernels generated from the Schottky-Kronecker forms are defined as Poincar\'e series. Under technical assumptions, related to the convergence of these Poincar\'e series on the underlying Riemann surface, we argue that these integration kernels coincide with a set of differentials defined by Enriquez, whose iterated integrals constitute higher-genus analogues of polylogarithms. Enriquez' original definition is not well-suited for numerical evaluation of higher-genus polylogarithms. In contrast, the Poincar\'e series defining our integration kernels can be evaluated numerically for real hyperelliptic curves, for which the above-mentioned convergence assumptions can be verified. We numerically evaluate several examples of genus-two polylogarithms, thereby paving the way for numerical evaluation of hyperelliptic analogues of polylogarithms.

[ { "created": "Fri, 14 Jun 2024 14:07:11 GMT", "version": "v1" } ]

2024-06-17

[ [ "Baune", "Konstantin", "" ], [ "Broedel", "Johannes", "" ], [ "Im", "Egor", "" ], [ "Lisitsyn", "Artyom", "" ], [ "Zerbini", "Federico", "" ] ]

Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronecker in the 19th century. In this article, we employ the Schottky parametrization of a Riemann surface to construct higher-genus analogues of Kronecker's generating series, which we refer to as Schottky-Kronecker forms. Our explicit construction generalizes ideas from Bernard's higher-genus construction of the Knizhnik-Zamolodchikov connection. Integration kernels generated from the Schottky-Kronecker forms are defined as Poincar\'e series. Under technical assumptions, related to the convergence of these Poincar\'e series on the underlying Riemann surface, we argue that these integration kernels coincide with a set of differentials defined by Enriquez, whose iterated integrals constitute higher-genus analogues of polylogarithms. Enriquez' original definition is not well-suited for numerical evaluation of higher-genus polylogarithms. In contrast, the Poincar\'e series defining our integration kernels can be evaluated numerically for real hyperelliptic curves, for which the above-mentioned convergence assumptions can be verified. We numerically evaluate several examples of genus-two polylogarithms, thereby paving the way for numerical evaluation of hyperelliptic analogues of polylogarithms.

6.0331

6.366642

6.670909

6.162463

6.318517

6.050757

6.430288

6.37287

5.766613

7.376986

5.635095

5.768544

5.928077

5.718195

5.836136

5.854742

5.663079

5.700277

5.811645

5.86445

5.707775

1611.00016

Eduardo Teste

Horacio Casini, Eduardo Teste, Gonzalo Torroba

Relative entropy and the RG flow

27 pages, 2 figures

null

10.1007/JHEP03(2017)089

null

hep-th

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

We consider the relative entropy between vacuum states of two different theories: a conformal field theory (CFT), and the CFT perturbed by a relevant operator. By restricting both states to the null Cauchy surface in the causal domain of a sphere, we make the relative entropy equal to the difference of entanglement entropies. As a result, this difference has the positivity and monotonicity properties of relative entropy. From this it follows a simple alternative proof of the c-theorem in d=2 space-time dimensions and, for d>2, the proof that the coefficient of the area term in the entanglement entropy decreases along the renormalization group (RG) flow between fixed points. We comment on the regimes of convergence of relative entropy, depending on the space-time dimensions and the conformal dimension $\Delta$ of the perturbation that triggers the RG flow.

[ { "created": "Mon, 31 Oct 2016 20:03:38 GMT", "version": "v1" } ]

2017-04-05

[ [ "Casini", "Horacio", "" ], [ "Teste", "Eduardo", "" ], [ "Torroba", "Gonzalo", "" ] ]

We consider the relative entropy between vacuum states of two different theories: a conformal field theory (CFT), and the CFT perturbed by a relevant operator. By restricting both states to the null Cauchy surface in the causal domain of a sphere, we make the relative entropy equal to the difference of entanglement entropies. As a result, this difference has the positivity and monotonicity properties of relative entropy. From this it follows a simple alternative proof of the c-theorem in d=2 space-time dimensions and, for d>2, the proof that the coefficient of the area term in the entanglement entropy decreases along the renormalization group (RG) flow between fixed points. We comment on the regimes of convergence of relative entropy, depending on the space-time dimensions and the conformal dimension $\Delta$ of the perturbation that triggers the RG flow.

6.29432

6.163656

6.452575

5.716974

5.89618

6.081951

6.387452

5.932033

6.167018

6.790428

5.794804

5.957049

6.332544

5.781837

6.03945

5.848319

6.050224

5.80551

5.899492

6.327218

5.811403

1407.6833

Itzhak Bars

Itzhak Bars and Dmitry Rychkov

Is String Interaction the Origin of Quantum Mechanics?

15 pages. More discussion in "Outlook" section in v3

null

10.1016/j.physletb.2014.10.053

null

hep-th math-ph math.MP quant-ph

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

String theory developed by demanding consistency with quantum mechanics. In this paper we wish to reverse the reasoning. We pretend open string field theory is a fully consistent definition of the theory - it is at least a self consistent sector. Then we find in its structure that the rules of quantum mechanics emerge from the non-commutative nature of the basic string joining/splitting interactions, thus deriving rather than assuming the quantum commutation rules among the usual canonical quantum variables for all physical systems derivable from open string field theory. Morally we would apply such an argument to M-theory to cover all physics. If string or M-theory really underlies all physics, it seems that the door has been opened to an understanding of the origins of quantum mechanics.

[ { "created": "Fri, 25 Jul 2014 09:38:51 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 2014 20:06:57 GMT", "version": "v2" }, { "created": "Tue, 23 Sep 2014 17:39:23 GMT", "version": "v3" } ]

2015-06-22

[ [ "Bars", "Itzhak", "" ], [ "Rychkov", "Dmitry", "" ] ]

String theory developed by demanding consistency with quantum mechanics. In this paper we wish to reverse the reasoning. We pretend open string field theory is a fully consistent definition of the theory - it is at least a self consistent sector. Then we find in its structure that the rules of quantum mechanics emerge from the non-commutative nature of the basic string joining/splitting interactions, thus deriving rather than assuming the quantum commutation rules among the usual canonical quantum variables for all physical systems derivable from open string field theory. Morally we would apply such an argument to M-theory to cover all physics. If string or M-theory really underlies all physics, it seems that the door has been opened to an understanding of the origins of quantum mechanics.

18.410875

22.906794

19.034063

18.762461

19.104342

21.048283

19.259279

18.586065

18.244244

22.979528

18.786739

18.851912

19.747469

18.622822

18.647015

18.540556

19.113829

18.753193

18.166002

18.712149

18.70989

hep-th/9909212

Ignatios Antoniadis

I. Antoniadis

Mass scales in string and M-theory

32 pages, LaTeX, 2 eps-figures, uses sprocl.sty Lectures given at the Trieste Spring Workshop, ICTP, Italy, 22-30 March 1999, and at the Advanced School on "Supersymmetry in the Theories of Fields, Strings and Branes", Sandiago de Compostela, Spain, 26-31 July 1999. A short version was given as an invited talk at Strings 99, Potsdam, Germany, 19-24 July 1999 and at the European Program meeting on "Quantum Aspects of Gauge Theories, Supersymmetry and Unification", Paris, France, 1-7 September 1999

null

CPHT-CL741.0999

hep-th hep-ph

null

I review the relations between mass scales in various string theories and in M-theory. I discuss physical motivations and possible consistent realizations of large volume compactifications and low string scale. Large longitudinal dimensions, seen by Standard Model particles, imply in general that string theory is strongly coupled unless its tension is close to the compactification scale. Weakly coupled, low-scale strings can in turn be realized only in the presence of extra large transverse dimensions, seen through gravitational interactions, or in the presence of infinitesimal string coupling. In the former case, quantum gravity scale is also low, while in the latter, gravitational and string interactions remain suppressed by the four-dimensional Planck mass. There is one exception in this general rule, allowing for large longitudinal dimensions without low string scale, when Standard Model is embedded in a six-dimensional fixed-point theory described by a tensionless string. Extra dimensions of size as large as TeV$^{-1}\simeq 10^{-16}$ cm are motivated from the problem of supersymmetry breaking in string theory, while TeV scale strings offer a solution to the gauge hierarchy problem, as an alternative to softly broken supersymmetry or technicolor. I discuss these problems in the context of the above mentioned string realizations, as well as the main physical implications both in particle accelerators and in experiments that measure gravity at sub-millimeter distances.

[ { "created": "Wed, 29 Sep 1999 14:11:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Antoniadis", "I.", "" ] ]

I review the relations between mass scales in various string theories and in M-theory. I discuss physical motivations and possible consistent realizations of large volume compactifications and low string scale. Large longitudinal dimensions, seen by Standard Model particles, imply in general that string theory is strongly coupled unless its tension is close to the compactification scale. Weakly coupled, low-scale strings can in turn be realized only in the presence of extra large transverse dimensions, seen through gravitational interactions, or in the presence of infinitesimal string coupling. In the former case, quantum gravity scale is also low, while in the latter, gravitational and string interactions remain suppressed by the four-dimensional Planck mass. There is one exception in this general rule, allowing for large longitudinal dimensions without low string scale, when Standard Model is embedded in a six-dimensional fixed-point theory described by a tensionless string. Extra dimensions of size as large as TeV$^{-1}\simeq 10^{-16}$ cm are motivated from the problem of supersymmetry breaking in string theory, while TeV scale strings offer a solution to the gauge hierarchy problem, as an alternative to softly broken supersymmetry or technicolor. I discuss these problems in the context of the above mentioned string realizations, as well as the main physical implications both in particle accelerators and in experiments that measure gravity at sub-millimeter distances.

9.998701

11.620937

10.366851

9.603961

10.984612

11.918749

11.035368

10.676656

10.392464

11.284786

9.944188

9.918673

9.752436

9.680017

10.031098

10.509079

10.310886

9.915171

9.640414

9.768227

9.825071

2005.07713

Emanuel Malek

Emanuel Malek, Hermann Nicolai, Henning Samtleben

Tachyonic Kaluza-Klein modes and the AdS swampland conjecture

22 pages; v2 published version with minor changes

JHEP 08 (2020) 159

10.1007/JHEP08(2020)159

null

hep-th gr-qc

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

We compute the Kaluza-Klein spectrum of the non-supersymmetric SO(3)$\,\times\,$SO(3)-invariant AdS$_4$ vacuum of 11-dimensional supergravity, whose lowest-lying Kaluza-Klein modes belong to a consistent truncation to 4-dimensional ${\cal N}=8$ supergravity and are stable. We show that, nonetheless, the higher Kaluza-Klein modes become tachyonic so that this non-supersymmetric AdS$_4$ vacuum is perturbatively unstable within 11-dimensional supergravity. This represents the first example of unstable higher Kaluza-Klein modes and provides further evidence for the AdS swampland conjecture, which states that there are no stable non-supersymmetric AdS vacua within string theory. We also find 27 infinitesimal moduli amongst the Kaluza-Klein modes, which hints at the existence of a family of non-supersymmetric AdS$_4$ vacua.

[ { "created": "Fri, 15 May 2020 18:00:01 GMT", "version": "v1" }, { "created": "Fri, 11 Sep 2020 09:57:38 GMT", "version": "v2" } ]

2020-09-14

[ [ "Malek", "Emanuel", "" ], [ "Nicolai", "Hermann", "" ], [ "Samtleben", "Henning", "" ] ]

We compute the Kaluza-Klein spectrum of the non-supersymmetric SO(3)$\,\times\,$SO(3)-invariant AdS$_4$ vacuum of 11-dimensional supergravity, whose lowest-lying Kaluza-Klein modes belong to a consistent truncation to 4-dimensional ${\cal N}=8$ supergravity and are stable. We show that, nonetheless, the higher Kaluza-Klein modes become tachyonic so that this non-supersymmetric AdS$_4$ vacuum is perturbatively unstable within 11-dimensional supergravity. This represents the first example of unstable higher Kaluza-Klein modes and provides further evidence for the AdS swampland conjecture, which states that there are no stable non-supersymmetric AdS vacua within string theory. We also find 27 infinitesimal moduli amongst the Kaluza-Klein modes, which hints at the existence of a family of non-supersymmetric AdS$_4$ vacua.

4.34006

3.99131

4.752864

3.954296

4.22252

4.103468

4.228579

3.960959

4.101066

5.198003

4.115925

4.043072

4.557012

4.0427

4.056084

4.112484

4.039861

4.114959

4.067242

4.330322

4.103849

1502.06953

Maximilian Poretschkin

Mirjam Cveti\v{c}, Ron Donagi, Denis Klevers, Hernan Piragua, Maximilian Poretschkin

F-Theory Vacua with Z_3 Gauge Symmetry

13 pages

null

10.1016/j.nuclphysb.2015.07.011

null

hep-th

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

Discrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi-Yau manifolds. Such geometries appear in families that are parameterized by the Tate-Shafarevich group of the genus-one fibration. While the F-theory compactification on any element of this family gives rise to the same physics, the corresponding M-theory compactifications on these geometries differ and are obtained by a fluxed circle reduction of the former. In this note, we focus on an element of order three in the Tate-Shafarevich group of the general cubic. We discuss how the different M-theory vacua and the associated discrete gauge groups can be obtained by Higgsing of a pair of five-dimensional U(1) symmetries. The Higgs fields arise from vanishing cycles in $I_2$-fibers that appear at certain codimension two loci in the base. We explicitly identify all three curves that give rise to the corresponding Higgs fields. In this analysis the investigation of different resolved phases of the underlying geometry plays a crucial r\^ole.

[ { "created": "Tue, 24 Feb 2015 20:59:49 GMT", "version": "v1" } ]

2015-12-09

[ [ "Cvetič", "Mirjam", "" ], [ "Donagi", "Ron", "" ], [ "Klevers", "Denis", "" ], [ "Piragua", "Hernan", "" ], [ "Poretschkin", "Maximilian", "" ] ]

Discrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi-Yau manifolds. Such geometries appear in families that are parameterized by the Tate-Shafarevich group of the genus-one fibration. While the F-theory compactification on any element of this family gives rise to the same physics, the corresponding M-theory compactifications on these geometries differ and are obtained by a fluxed circle reduction of the former. In this note, we focus on an element of order three in the Tate-Shafarevich group of the general cubic. We discuss how the different M-theory vacua and the associated discrete gauge groups can be obtained by Higgsing of a pair of five-dimensional U(1) symmetries. The Higgs fields arise from vanishing cycles in $I_2$-fibers that appear at certain codimension two loci in the base. We explicitly identify all three curves that give rise to the corresponding Higgs fields. In this analysis the investigation of different resolved phases of the underlying geometry plays a crucial r\^ole.

7.030351

7.68904

8.456766

6.968772

7.329926

7.346606

6.86588

6.836904

6.987224

8.831319

6.901673

6.742411

7.529985

6.966401

6.737717

6.817883

6.895537

6.777308

6.822473

7.229327

6.825781

1709.02742

Bas Janssens

Pin Groups in General Relativity

9 pages, added section 7 on the role of diffeomorphism invariance

Phys. Rev. D 101, 021702 (2020)

10.1103/PhysRevD.101.021702

null

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

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

There are eight possible Pin groups that can be used to describe the transformation behaviour of fermions under parity and time reversal. We show that only two of these are compatible with general relativity, in the sense that the configuration space of fermions coupled to gravity transforms appropriately under the space-time diffeomorphism group.

[ { "created": "Fri, 8 Sep 2017 15:24:57 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2019 11:41:34 GMT", "version": "v2" }, { "created": "Fri, 24 Jan 2020 09:55:01 GMT", "version": "v3" } ]

2020-02-05

[ [ "Janssens", "Bas", "" ] ]

There are eight possible Pin groups that can be used to describe the transformation behaviour of fermions under parity and time reversal. We show that only two of these are compatible with general relativity, in the sense that the configuration space of fermions coupled to gravity transforms appropriately under the space-time diffeomorphism group.

12.299868

7.058731

8.17158

6.602821

7.843965

8.419717

7.226164

7.385921

7.050839

8.736227

7.938674

7.49131

7.134453

6.967886

7.342784

7.701985

7.17592

7.39882

6.973812

7.174547

7.463018

hep-th/9507069

null

Vu B Ho

A discussion on a possibility to interpret quantum mechanics in terms of general relativity

Latex 6 pages

null

hep-th gr-qc quant-ph

null

It is shown that, with some reasonable assumptions, the theory of general relativity can be made compatible with quantum mechanics by using the field equations of general relativity to construct a Robertson-Walker metric for a quantum particle so that the line element of the particle can be transformed entirely to that of the Minkowski spacetime, which is assumed by a quantum observer, and the spacetime dynamics of the particle described by a Minkowski observer takes the form of quantum mechanics. Spacetime structure of a quantum particle may have either positive or negative curvature. However, in order to be describable using the familiar framework of quantum mechanics, the spacetime structure of a quantum particle must be "quantised" by an introduction of the imaginary number $i$. If a particle has a positive curvature then the quantisation is equivalent to turning the pseudo-Riemannian spacetime of the particle into a Riemannian spacetime. This means that it is assumed the particle is capable of measuring its temporal distance like its spatial distances. On the other hand, when a particle has a negative curvature and a negative energy density then quantising the spacetime structure of the particle is equivalent to viewing the particle as if it had a positive curvature and a positive energy density.

[ { "created": "Wed, 12 Jul 1995 01:50:09 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ho", "Vu B", "" ] ]

It is shown that, with some reasonable assumptions, the theory of general relativity can be made compatible with quantum mechanics by using the field equations of general relativity to construct a Robertson-Walker metric for a quantum particle so that the line element of the particle can be transformed entirely to that of the Minkowski spacetime, which is assumed by a quantum observer, and the spacetime dynamics of the particle described by a Minkowski observer takes the form of quantum mechanics. Spacetime structure of a quantum particle may have either positive or negative curvature. However, in order to be describable using the familiar framework of quantum mechanics, the spacetime structure of a quantum particle must be "quantised" by an introduction of the imaginary number $i$. If a particle has a positive curvature then the quantisation is equivalent to turning the pseudo-Riemannian spacetime of the particle into a Riemannian spacetime. This means that it is assumed the particle is capable of measuring its temporal distance like its spatial distances. On the other hand, when a particle has a negative curvature and a negative energy density then quantising the spacetime structure of the particle is equivalent to viewing the particle as if it had a positive curvature and a positive energy density.

7.463641

7.776304

7.846675

7.758472

8.2344

8.08001

8.251421

7.711349

7.407669

8.144452

7.65343

7.543087

7.489851

7.25144

7.395973

7.437859

7.419368

7.300972

7.420669

7.279837

7.246018

hep-th/9606145

null

Hans-Peter Nilles, Michal Spalinski

Generalized string compactifications with spontaneously broken supersymmetry

15 pages, LaTeX, no figures

Phys.Lett. B392 (1997) 67-76

10.1016/S0370-2693(96)01497-9

null

hep-th

null

The Narain lattice construction of string compactifications is generalized to include spontaneously broken supersymmetry. Consistency conditions from modular invariance and Lorentz symmetry are solved in full generality. This framework incorporates models where supersymmetry breaking is inversely proportional to the radii of compact dimensions. The enhanced lattice description, however, might allow for models with a different geometrical or even non-geometrical interpretation.

[ { "created": "Sat, 22 Jun 1996 23:54:41 GMT", "version": "v1" }, { "created": "Sun, 4 Aug 1996 21:06:32 GMT", "version": "v2" } ]

2009-10-30

[ [ "Nilles", "Hans-Peter", "" ], [ "Spalinski", "Michal", "" ] ]

The Narain lattice construction of string compactifications is generalized to include spontaneously broken supersymmetry. Consistency conditions from modular invariance and Lorentz symmetry are solved in full generality. This framework incorporates models where supersymmetry breaking is inversely proportional to the radii of compact dimensions. The enhanced lattice description, however, might allow for models with a different geometrical or even non-geometrical interpretation.

14.857428

10.303992

12.633093

11.054436

11.567501

11.247158

11.300391

11.061267

10.801435

12.446748

10.75127

10.636751

11.112621

10.597359

11.027326

11.234149

10.750424

10.913147

10.690592

11.067461

10.696674

1610.03519

Martin Heinze

Martin Heinze and George Jorjadze

Quantization of the ${\rm AdS}_3$ Superparticle on ${\rm OSP}(1|2)^2/{\rm SL}(2,\mathbb{R})$

25+1 pages; v2: minor changes, references added and updated; v3: minor changes, one reference added, matches published version

Nucl.Phys. B915 (2017) 44-68

10.1016/j.nuclphysb.2016.11.018

FU-Ph 10/2016 (06), NORDITA-2016-100, ZMP-HH/16-22

hep-th

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

We analyze ${\rm AdS}_3$ superparticle dynamics on the coset ${\rm OSP}(1|2) \times {\rm OSP}(1|2)/{\rm SL}(2,\mathbb{R})$. The system is quantized in canonical coordinates obtained by gauge invariant Hamiltonian reduction. The left and right Noether charges of a massive particle are parametrized by coadjoint orbits of a timelike element of $\frak{osp}(1|2)$. Each chiral sector is described by two bosonic and two fermionic canonical coordinates corresponding to a superparticle with superpotential $W=q-m/q$, where $m$ is the particle mass. Canonical quantization then provides a quantum realization of $\frak{osp}(1|2)\oplus\frak{osp}(1|2)$. For the massless particle the chiral charges lie on the coadjoint orbit of a nilpotent element of $\frak{osp}(1|2)$ and each of them depends only on one real fermion, which demonstrates the underlying $\kappa$-symmetry. These remaining left and right fermionic variables form a canonical pair and the system is described by four bosonic and two fermionic canonical coordinates. Due to conformal invariance of the massless particle, the $\frak{osp}(1|2)\oplus\frak{osp} (1|2)$ extends to the corresponding superconformal algebra $\frak{osp}(2|4)$. Its 19 charges are given by all real quadratic combinations of the canonical coordinates, which trivializes their quantization.

[ { "created": "Tue, 11 Oct 2016 20:27:28 GMT", "version": "v1" }, { "created": "Mon, 7 Nov 2016 11:41:47 GMT", "version": "v2" }, { "created": "Fri, 23 Dec 2016 20:48:16 GMT", "version": "v3" } ]

2016-12-26

[ [ "Heinze", "Martin", "" ], [ "Jorjadze", "George", "" ] ]

We analyze ${\rm AdS}_3$ superparticle dynamics on the coset ${\rm OSP}(1|2) \times {\rm OSP}(1|2)/{\rm SL}(2,\mathbb{R})$. The system is quantized in canonical coordinates obtained by gauge invariant Hamiltonian reduction. The left and right Noether charges of a massive particle are parametrized by coadjoint orbits of a timelike element of $\frak{osp}(1|2)$. Each chiral sector is described by two bosonic and two fermionic canonical coordinates corresponding to a superparticle with superpotential $W=q-m/q$, where $m$ is the particle mass. Canonical quantization then provides a quantum realization of $\frak{osp}(1|2)\oplus\frak{osp}(1|2)$. For the massless particle the chiral charges lie on the coadjoint orbit of a nilpotent element of $\frak{osp}(1|2)$ and each of them depends only on one real fermion, which demonstrates the underlying $\kappa$-symmetry. These remaining left and right fermionic variables form a canonical pair and the system is described by four bosonic and two fermionic canonical coordinates. Due to conformal invariance of the massless particle, the $\frak{osp}(1|2)\oplus\frak{osp} (1|2)$ extends to the corresponding superconformal algebra $\frak{osp}(2|4)$. Its 19 charges are given by all real quadratic combinations of the canonical coordinates, which trivializes their quantization.

6.048712

6.212873

6.515963

6.0421

6.167926

6.519685

6.377782

6.134269

6.275766

7.16107

6.083368

6.0031

6.044774

5.860645

5.961894

6.174474

6.096429

5.939002

6.013579

6.195693

5.936172

hep-th/9608027

null

John R. Klauder and Sergei V. Shabanov

Coordinate-free quantization of first-class constrained systems

null

Phys.Lett. B398 (1997) 116-122

10.1016/S0370-2693(97)00182-2

null

hep-th quant-ph

null

The coordinate-free formulation of canonical quantization, achieved by a flat-space Brownian motion regularization of phase-space path integrals, is extended to a special class of closed first-class constrained systems that is broad enough to include Yang-Mills type theories with an arbitrary compact gauge group. Central to this extension are the use of coherent state path integrals and of Lagrange multiplier integrations that engender projection operators onto the subspace of gauge invariant states.

[ { "created": "Tue, 6 Aug 1996 14:29:13 GMT", "version": "v1" } ]

2009-10-30

[ [ "Klauder", "John R.", "" ], [ "Shabanov", "Sergei V.", "" ] ]

The coordinate-free formulation of canonical quantization, achieved by a flat-space Brownian motion regularization of phase-space path integrals, is extended to a special class of closed first-class constrained systems that is broad enough to include Yang-Mills type theories with an arbitrary compact gauge group. Central to this extension are the use of coherent state path integrals and of Lagrange multiplier integrations that engender projection operators onto the subspace of gauge invariant states.

15.615463

13.533236

16.656469

13.838585

15.037689

16.603939

15.750577

14.767887

14.113825

17.62994

13.601757

14.370049

15.488137

14.96418

14.048755

13.689301

13.909734

14.38675

14.635154

14.682201

14.210836