LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0402033

Charlotte Kristjansen

C. Kristjansen (NORDITA)

Three-spin Strings on AdS_5 x S^5 from N=4 SYM

13 pages, v2: refs. added, minor textual changes, v3: more refs. added

Phys.Lett. B586 (2004) 106-116

10.1016/j.physletb.2004.02.037

NORDITA-2004-3

hep-th

null

Using the integrable spin chain picture we study the one-loop anomalous dimension of certain single trace scalar operators of N=4 SYM expected to correspond to semi-classical string states on AdS_5 x S^5 with three large angular momenta (J_1,J_2,J_3) on S^5. In particular, we investigate the analyticity structure encoded in the Bethe equations for various distributions of Bethe roots. In a certain region of the parameter space our operators reduce to the gauge theory duals of the folded string with two large angular momenta and in another region to the duals of the circular string with angular momentum assignment (J,J',J'), J>J'. In between we locate a critical line. We propose that the operators above the critical line are the gauge theory duals of the circular elliptic string with three different spins and support this by a perturbative calculation.

[ { "created": "Wed, 4 Feb 2004 17:49:21 GMT", "version": "v1" }, { "created": "Thu, 12 Feb 2004 11:20:53 GMT", "version": "v2" }, { "created": "Wed, 18 Feb 2004 14:19:11 GMT", "version": "v3" } ]

2016-09-06

[ [ "Kristjansen", "C.", "", "NORDITA" ] ]

Using the integrable spin chain picture we study the one-loop anomalous dimension of certain single trace scalar operators of N=4 SYM expected to correspond to semi-classical string states on AdS_5 x S^5 with three large angular momenta (J_1,J_2,J_3) on S^5. In particular, we investigate the analyticity structure encoded in the Bethe equations for various distributions of Bethe roots. In a certain region of the parameter space our operators reduce to the gauge theory duals of the folded string with two large angular momenta and in another region to the duals of the circular string with angular momentum assignment (J,J',J'), J>J'. In between we locate a critical line. We propose that the operators above the critical line are the gauge theory duals of the circular elliptic string with three different spins and support this by a perturbative calculation.

7.172508

6.816088

8.688054

6.386069

6.681708

6.414682

6.0516

6.553914

6.25367

9.02089

6.608196

6.56044

7.383636

6.56694

6.86602

6.48067

6.528228

6.711441

6.76125

7.616216

6.479452

hep-th/9910240

Roy B. Tumlos

Jose A. Magpantay (National Institute of Physics, U.P. Diliman Q.C., Philippines)

The Parisi-Sourlas Mechanism in Yang-Mills Theory?

13 pages, LATEX

Int.J.Mod.Phys. A15 (2000) 1613-1628

10.1142/S0217751X00000720

null

hep-th

null

The Parisi-Sourlas mechanism is exhibited in pure Yang-Mills theory. Using the new scalar degrees of freedom derived from the non-linear gauge condition, we show that the non-perturbative sector of Yang-Mills theory is equivalent to a 4D O(1,3) sigma model in a random field. We then show that the leading term of this equivalent theory is invariant under supersymmetry transformations where (x^{2}+\thetabar\theta) is unchanged. This leads to dimensional reduction proving the equivalence of the non-perturbative sector of Yang-Mills theory to a 2D O(1,3) sigma model.

[ { "created": "Fri, 29 Oct 1999 03:48:16 GMT", "version": "v1" } ]

2009-10-31

[ [ "Magpantay", "Jose A.", "", "National Institute of Physics, U.P. Diliman Q.C.,\n Philippines" ] ]

The Parisi-Sourlas mechanism is exhibited in pure Yang-Mills theory. Using the new scalar degrees of freedom derived from the non-linear gauge condition, we show that the non-perturbative sector of Yang-Mills theory is equivalent to a 4D O(1,3) sigma model in a random field. We then show that the leading term of this equivalent theory is invariant under supersymmetry transformations where (x^{2}+\thetabar\theta) is unchanged. This leads to dimensional reduction proving the equivalence of the non-perturbative sector of Yang-Mills theory to a 2D O(1,3) sigma model.

8.110186

8.58276

8.328694

7.616448

8.195273

7.56212

7.912358

7.970926

7.208572

8.273989

7.643463

7.815901

7.691445

7.596147

7.45115

7.956853

7.642384

7.666654

7.415262

8.002634

7.591526

1402.1855

Carlos A. S. Almeida

L. J. S. Sousa, C. A. S. Silva, D. M. Dantas, and C. A. S. Almeida

Vector and fermion fields on a bouncing brane with a decreasing warp factor in a string-like defect

15 pages, 5 figures. To appear in Physics Letters B. arXiv admin note: text overlap with arXiv:1209.6016

null

10.1016/j.physletb.2014.02.010

null

hep-th

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

In a recent work, a model has been proposed where a brane is made of a scalar field with bounce-type configurations and embedded in a bulk with a string-like metric. This model produces an AdS scenario where the components of the energy momentum tensor are finite and have its positivity ensured by a suitable choice of the bounce configurations. In the present work, we study the issue of gauge and fermion field localization in this scenario. In contrast with the five dimensional case here the gauge field is localized without the dilaton contribution. Nevertheless, it is remarkable that the localization of the fermion field depends on the introduction of a minimal coupling with the angular component of the gauge field, which differs clearly from five dimensional scenarios. Furthermore, we perform a qualitative analysis of the fermionic massive modes and conclude that only left handed fermions could be localized in the brane.

[ { "created": "Sat, 8 Feb 2014 14:34:06 GMT", "version": "v1" } ]

2014-03-03

[ [ "Sousa", "L. J. S.", "" ], [ "Silva", "C. A. S.", "" ], [ "Dantas", "D. M.", "" ], [ "Almeida", "C. A. S.", "" ] ]

In a recent work, a model has been proposed where a brane is made of a scalar field with bounce-type configurations and embedded in a bulk with a string-like metric. This model produces an AdS scenario where the components of the energy momentum tensor are finite and have its positivity ensured by a suitable choice of the bounce configurations. In the present work, we study the issue of gauge and fermion field localization in this scenario. In contrast with the five dimensional case here the gauge field is localized without the dilaton contribution. Nevertheless, it is remarkable that the localization of the fermion field depends on the introduction of a minimal coupling with the angular component of the gauge field, which differs clearly from five dimensional scenarios. Furthermore, we perform a qualitative analysis of the fermionic massive modes and conclude that only left handed fermions could be localized in the brane.

10.98968

10.82329

10.626951

9.901002

10.167145

10.117189

10.621014

10.254663

10.028081

11.12746

10.200216

10.009794

10.778247

10.511252

10.012151

10.346776

9.912573

9.875811

10.376116

10.684234

10.234767

0810.0704

Diego Bombardelli

Diego Bombardelli and Davide Fioravanti

Finite-Size Corrections of the $\mathbb{CP}^3$ Giant Magnons: the L\"{u}scher terms

20 pages, references added, improved and extended version

JHEP 0907:034,2009

10.1088/1126-6708/2009/07/034

null

hep-th

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

We compute classical and first quantum finite-size corrections to the recently found giant magnon solutions in two different subspaces of $\mathbb{CP}^3$. We use the L\"{u}scher approach on the recently proposed exact S-matrix for $\mathcal{N}=6$ superconformal Chern-Simons theory. We compare our results with the string and algebraic curve computations and find agreement, thus providing a non-trivial test for the new $AdS_4/CFT_3$ correspondence within an integrability framework.

[ { "created": "Fri, 3 Oct 2008 19:47:01 GMT", "version": "v1" }, { "created": "Fri, 30 Jan 2009 17:57:43 GMT", "version": "v2" } ]

2009-07-22

[ [ "Bombardelli", "Diego", "" ], [ "Fioravanti", "Davide", "" ] ]

We compute classical and first quantum finite-size corrections to the recently found giant magnon solutions in two different subspaces of $\mathbb{CP}^3$. We use the L\"{u}scher approach on the recently proposed exact S-matrix for $\mathcal{N}=6$ superconformal Chern-Simons theory. We compare our results with the string and algebraic curve computations and find agreement, thus providing a non-trivial test for the new $AdS_4/CFT_3$ correspondence within an integrability framework.

7.135994

5.838906

9.083461

5.672456

6.078818

5.622856

6.096505

6.036888

5.985182

8.941163

5.673595

5.703111

7.153153

5.997402

6.064189

6.284801

6.36642

6.211709

6.49973

7.01529

6.288806

2207.06885

Ilarion Melnikov

Peng Cheng, Ilarion V. Melnikov, and Ruben Minasian

Flat equivariant gerbes: holonomies and dualities

65 pages, tikz figures; v2: typos corrected

null

10.1007/JHEP04(2023)074

null

hep-th

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

We examine the role of global topological data associated to choices of holonomy for flat gauge fields in string compactification. Our study begins with perturbative string compactification on compact flat manifolds preserving 8 supercharges in 5 dimensions. By including non-trivial holonomy for Wilson lines in the heterotic string and for the B-field gerbe in the type II string we find worldsheet dualities that relate these backgrounds to other string compactifications. While our simple examples allow for explicit analysis, the concepts and some of the methods extend to a broader class of compactifications and have implications for string dualities, perturbative and otherwise.

[ { "created": "Thu, 14 Jul 2022 13:04:38 GMT", "version": "v1" }, { "created": "Sat, 11 Mar 2023 09:54:14 GMT", "version": "v2" } ]

2023-05-03

[ [ "Cheng", "Peng", "" ], [ "Melnikov", "Ilarion V.", "" ], [ "Minasian", "Ruben", "" ] ]

We examine the role of global topological data associated to choices of holonomy for flat gauge fields in string compactification. Our study begins with perturbative string compactification on compact flat manifolds preserving 8 supercharges in 5 dimensions. By including non-trivial holonomy for Wilson lines in the heterotic string and for the B-field gerbe in the type II string we find worldsheet dualities that relate these backgrounds to other string compactifications. While our simple examples allow for explicit analysis, the concepts and some of the methods extend to a broader class of compactifications and have implications for string dualities, perturbative and otherwise.

13.657545

13.418527

16.436516

12.760344

12.433793

11.679885

13.22799

12.695255

12.202901

16.978432

12.273229

12.346523

14.493383

12.659731

12.212893

12.603477

12.31522

12.803547

12.79967

13.961272

12.242057

hep-th/0303245

Andreas Fring

Olalla A. Castro-Alvaredo and Andreas Fring

Breathers in the elliptic sine-Gordon model

20 pages, Latex, one eps-figure

J.Phys.A36:10233-10249,2003

10.1088/0305-4470/36/40/008

SFB288-preprint

hep-th math-ph math.MP

null

We provide new expressions for the scattering amplitudes in the soliton-antisoliton sector of the elliptic sine-Gordon model in terms of cosets of the affine Weyl group corresponding to infinite products of q-deformed gamma functions. When relaxing the usual restriction on the coupling constants, the model contains additional bound states which admit an interpretation as breathers. These breather bound states are unavoidably accompanied by Tachyons. We compute the complete S-matrix describing the scattering of the breathers amonst themselves and with the soliton-antisoliton sector. We carry out various reductions of the model, one of them leading to a new type of theory, namely an elliptic version of the minimal D(n+1)-affine Toda field theory.

[ { "created": "Thu, 27 Mar 2003 16:25:54 GMT", "version": "v1" } ]

2008-11-26

[ [ "Castro-Alvaredo", "Olalla A.", "" ], [ "Fring", "Andreas", "" ] ]

We provide new expressions for the scattering amplitudes in the soliton-antisoliton sector of the elliptic sine-Gordon model in terms of cosets of the affine Weyl group corresponding to infinite products of q-deformed gamma functions. When relaxing the usual restriction on the coupling constants, the model contains additional bound states which admit an interpretation as breathers. These breather bound states are unavoidably accompanied by Tachyons. We compute the complete S-matrix describing the scattering of the breathers amonst themselves and with the soliton-antisoliton sector. We carry out various reductions of the model, one of them leading to a new type of theory, namely an elliptic version of the minimal D(n+1)-affine Toda field theory.

10.173525

9.980957

12.759665

9.790518

9.957547

10.706792

9.714188

10.687143

9.824809

12.698582

9.616235

10.00628

11.072948

10.716559

9.6595

10.593054

10.168803

10.208333

9.71183

10.425057

9.940279

hep-th/0512204

Satoshi Nagaoka

Yoshihisa Kitazawa and Satoshi Nagaoka

Graviton Propagators on Fuzzy G/H

22 pages, 1 figure. minor corrections

JHEP0602:001,2006

10.1088/1126-6708/2006/02/001

KEK-TH-1060

hep-th

null

We describe closed string modes by open Wilson lines in noncommutative (NC) gauge theories on compact fuzzy G/H in IIB matrix model. In this construction the world sheet cut-off is related to the spacetime cut-off since the string bit of the symmetric traced Wilson line carries the minimum momentum on G/H. We show that the two point correlation functions of graviton type Wilson lines in 4 dimensional NC gauge theories behave as 1/(momentum)^2. This result suggests that graviton is localized on D3-brane, so we can naturally interpret D3-branes as our universe. Our result is not limited to D3-brane system, and we generalize our analysis to other dimensions and even to any topology of D-brane worldvolume within fuzzy G/H.

[ { "created": "Fri, 16 Dec 2005 10:37:21 GMT", "version": "v1" }, { "created": "Wed, 28 Dec 2005 10:40:17 GMT", "version": "v2" }, { "created": "Thu, 2 Feb 2006 00:47:58 GMT", "version": "v3" } ]

2009-11-11

[ [ "Kitazawa", "Yoshihisa", "" ], [ "Nagaoka", "Satoshi", "" ] ]

We describe closed string modes by open Wilson lines in noncommutative (NC) gauge theories on compact fuzzy G/H in IIB matrix model. In this construction the world sheet cut-off is related to the spacetime cut-off since the string bit of the symmetric traced Wilson line carries the minimum momentum on G/H. We show that the two point correlation functions of graviton type Wilson lines in 4 dimensional NC gauge theories behave as 1/(momentum)^2. This result suggests that graviton is localized on D3-brane, so we can naturally interpret D3-branes as our universe. Our result is not limited to D3-brane system, and we generalize our analysis to other dimensions and even to any topology of D-brane worldvolume within fuzzy G/H.

17.302244

16.84503

16.921946

15.620796

16.371687

17.132616

15.563747

15.276988

16.505278

18.028687

16.098631

16.027592

16.383116

15.66876

15.978004

16.309357

15.719176

16.33094

15.877296

17.237219

15.552374

1209.4779

Anja Marunovic

Anja Marunovic and Tomislav Prokopec

Antiscreening in perturbative quantum gravity and resolving the Newtonian singularity

17 pages, 7 figures; a discussion of the relation to the Barvinsky-Vilkovisky formalism is included in v2; matches published version

Phys. Rev. D 87, 104027 (2013)

10.1103/PhysRevD.87.104027

null

hep-th astro-ph.HE gr-qc

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

We calculate the quantum corrections to the Newtonian potential induced by a massless, nonminimally coupled scalar field on Minkowski background. We make use of the graviton vacuum polarization calculated in our previous work and solve the equation of motion nonperturbatively. When written as the quantum-corrected gauge invariant Bardeen potentials, our results show that quantum effects generically antiscreen the Newtonian singularity 1/r. This result supports the point of view that gravity on (super-)Planckian scales is an asymptotically safe theory. In addition, we show that, in the presence of quantum fluctuations of a massless, (non)minimally coupled scalar field, dynamical gravitons propagate superluminally. The effect is, however, unbservably small and it is hence of academic interest only.

[ { "created": "Fri, 21 Sep 2012 10:43:49 GMT", "version": "v1" }, { "created": "Fri, 30 Aug 2013 13:08:46 GMT", "version": "v2" } ]

2013-09-02

[ [ "Marunovic", "Anja", "" ], [ "Prokopec", "Tomislav", "" ] ]

We calculate the quantum corrections to the Newtonian potential induced by a massless, nonminimally coupled scalar field on Minkowski background. We make use of the graviton vacuum polarization calculated in our previous work and solve the equation of motion nonperturbatively. When written as the quantum-corrected gauge invariant Bardeen potentials, our results show that quantum effects generically antiscreen the Newtonian singularity 1/r. This result supports the point of view that gravity on (super-)Planckian scales is an asymptotically safe theory. In addition, we show that, in the presence of quantum fluctuations of a massless, (non)minimally coupled scalar field, dynamical gravitons propagate superluminally. The effect is, however, unbservably small and it is hence of academic interest only.

9.072121

9.677238

9.406616

8.538688

9.135651

9.300105

10.017614

8.977856

9.986256

9.221947

9.218136

9.191993

8.984179

8.963512

9.20891

9.266119

9.23572

9.009434

9.192955

9.094856

9.088378

2307.02038

Mauricio Romo

Tsung-Ju Lee, Bong H. Lian and Mauricio Romo

Non-commutative resolutions as mirrors of singular Calabi--Yau varieties

39 pages, LaTeX

null

hep-th math.AG

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

It has been conjectured that the hemisphere partition function arXiv:1308.2217, arXiv:1308.2438 in a gauged linear sigma model (GLSM) computes the central charge arXiv:math/0212237 of an object in the bounded derived category of coherent sheaves for Calabi--Yau (CY) manifolds. There is also evidence in arXiv:alg-geom/ 9511001, arXiv:hep-th/0007071. On the other hand, non-commutative resolutions of singular CY varieties have been studied in the context of abelian GLSMs arXiv:0709.3855. In this paper, we study an analogous construction of abelian GLSMs for non-commutative resolutions and propose they can be used to study a class of recently discovered mirror pairs of singular CY varieties. Our main result shows that the hemisphere partition functions (a.k.a.~$A$-periods) in the new GLSM are in fact period integrals (a.k.a.~$B$-periods) of the singular CY varieties. We conjecture that the two are completely equivalent: $B$-periods are the same as $A$-periods. We give some examples to support this conjecture and formulate some expected homological mirror symmetry (HMS) relation between the GLSM theory and the CY. As shown in arXiv:2003.07148, the $B$-periods in this case are precisely given by a certain fractional version of the $B$-series of arXiv:alg-geom/9511001. Since a hemisphere partition function is defined as a contour integral in a cone in the complexified secondary fan (or FI-theta parameter space) arXiv:1308.2438, it can be reduced to a sum of residues (by theorems of Passare-Tsikh-Zhdanov and Tsikh-Zhdanov). Our conjecture shows that this residue sum may now be amenable to computations in terms of the $B$-series.

[ { "created": "Wed, 5 Jul 2023 05:43:35 GMT", "version": "v1" } ]

2023-07-06

[ [ "Lee", "Tsung-Ju", "" ], [ "Lian", "Bong H.", "" ], [ "Romo", "Mauricio", "" ] ]

It has been conjectured that the hemisphere partition function arXiv:1308.2217, arXiv:1308.2438 in a gauged linear sigma model (GLSM) computes the central charge arXiv:math/0212237 of an object in the bounded derived category of coherent sheaves for Calabi--Yau (CY) manifolds. There is also evidence in arXiv:alg-geom/ 9511001, arXiv:hep-th/0007071. On the other hand, non-commutative resolutions of singular CY varieties have been studied in the context of abelian GLSMs arXiv:0709.3855. In this paper, we study an analogous construction of abelian GLSMs for non-commutative resolutions and propose they can be used to study a class of recently discovered mirror pairs of singular CY varieties. Our main result shows that the hemisphere partition functions (a.k.a.~$A$-periods) in the new GLSM are in fact period integrals (a.k.a.~$B$-periods) of the singular CY varieties. We conjecture that the two are completely equivalent: $B$-periods are the same as $A$-periods. We give some examples to support this conjecture and formulate some expected homological mirror symmetry (HMS) relation between the GLSM theory and the CY. As shown in arXiv:2003.07148, the $B$-periods in this case are precisely given by a certain fractional version of the $B$-series of arXiv:alg-geom/9511001. Since a hemisphere partition function is defined as a contour integral in a cone in the complexified secondary fan (or FI-theta parameter space) arXiv:1308.2438, it can be reduced to a sum of residues (by theorems of Passare-Tsikh-Zhdanov and Tsikh-Zhdanov). Our conjecture shows that this residue sum may now be amenable to computations in terms of the $B$-series.

7.537515

8.053857

8.930728

7.61627

8.634702

8.506684

8.138484

7.626353

7.623912

9.21234

7.720187

7.257174

7.50393

7.241036

7.26802

7.250028

7.22527

7.166625

7.204865

7.599346

7.143488

hep-th/0203234

null

Everton M. C. Abreu, Alvaro de Souza Dutra and Clovis Wotzasek

New approaches in W-gravities

28 pages, Latex

Phys.Rev. D66 (2002) 105008

10.1103/PhysRevD.66.105008

null

hep-th

null

We have devoted an effort to study some nonlinear actions, characteristics of the ${\cal W}$-theories, in the framework of the soldering formalism. We have disclosed interesting new results concerning the embedding of the original chiral ${\cal W}$-particles in different metrical spaces in the final soldered action, i.e., the metric gets modified by the soldering interference process. The results are presented in a weak field approximation for the ${\cal W}_N$ case when N is greater than 3 and also in an exact way for ${\cal W}_2$. We have promoted a generalization of the interference phenomena to ${\cal W}_N$-theories of different chiralities and shown that the geometrical features introduced can yield a new understanding about the interference formalism in quantum field theories.

[ { "created": "Tue, 26 Mar 2002 18:06:17 GMT", "version": "v1" } ]

2009-11-07

[ [ "Abreu", "Everton M. C.", "" ], [ "Dutra", "Alvaro de Souza", "" ], [ "Wotzasek", "Clovis", "" ] ]

We have devoted an effort to study some nonlinear actions, characteristics of the ${\cal W}$-theories, in the framework of the soldering formalism. We have disclosed interesting new results concerning the embedding of the original chiral ${\cal W}$-particles in different metrical spaces in the final soldered action, i.e., the metric gets modified by the soldering interference process. The results are presented in a weak field approximation for the ${\cal W}_N$ case when N is greater than 3 and also in an exact way for ${\cal W}_2$. We have promoted a generalization of the interference phenomena to ${\cal W}_N$-theories of different chiralities and shown that the geometrical features introduced can yield a new understanding about the interference formalism in quantum field theories.

15.491539

14.963217

16.620705

15.169263

14.595159

15.759444

15.22169

14.727488

14.49537

16.748402

15.097642

14.807732

14.654496

14.876348

14.875631

14.717876

15.102672

14.653253

14.619958

14.173272

14.468277

2109.12122

Javier Gomez Subils

Carlos Hoyos, Niko Jokela, Matti J\"arvinen, Javier G. Subils, Javier Tarrio, Aleksi Vuorinen

Holographic approach to transport in dense QCD matter

31 pages + appendices, 6 figures

null

10.1103/PhysRevD.105.066014

HIP-2021-23/TH, APCTP Pre2021-018, NORDITA 2021-077

hep-th astro-ph.HE hep-ph nucl-th

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

The transport properties of dense QCD matter play a crucial role in the physics of neutron stars and their mergers, but are notoriously difficult to study with traditional quantum field theory tools. Specializing to the case of unpaired quark matter in beta equilibrium, we approach the problem through the machinery of holography, in particular the V-QCD and D3-D7 models, and derive results for the electrical and thermal conductivities and the shear and bulk viscosities. In addition we compare the bulk to shear viscosity ratio to the speed of sound and find that it violates the so-called Buchel bound. Our results differ dramatically from earlier predictions of perturbative QCD, the root causes and implications of which we analyze in detail.

[ { "created": "Fri, 24 Sep 2021 18:00:03 GMT", "version": "v1" } ]

2022-04-06

[ [ "Hoyos", "Carlos", "" ], [ "Jokela", "Niko", "" ], [ "Järvinen", "Matti", "" ], [ "Subils", "Javier G.", "" ], [ "Tarrio", "Javier", "" ], [ "Vuorinen", "Aleksi", "" ] ]

The transport properties of dense QCD matter play a crucial role in the physics of neutron stars and their mergers, but are notoriously difficult to study with traditional quantum field theory tools. Specializing to the case of unpaired quark matter in beta equilibrium, we approach the problem through the machinery of holography, in particular the V-QCD and D3-D7 models, and derive results for the electrical and thermal conductivities and the shear and bulk viscosities. In addition we compare the bulk to shear viscosity ratio to the speed of sound and find that it violates the so-called Buchel bound. Our results differ dramatically from earlier predictions of perturbative QCD, the root causes and implications of which we analyze in detail.

7.455373

7.212774

7.287228

7.02125

7.186494

7.899437

7.591521

7.35581

6.808187

7.930709

6.98967

7.564526

6.945471

7.00334

7.408831

7.365294

7.314636

7.133675

7.040723

7.379062

7.36787

hep-th/9905166

null

Toyohiro Tsurumaru, Izumi Tsutsui

On Topological Terms in the O(3) Nonlinear Sigma Model

15 pages, 1 figure

Phys.Lett. B460 (1999) 94-102

10.1016/S0370-2693(99)00740-6

KEK 99-19

hep-th

null

Topological terms in the O(3) nonlinear sigma model in (1+1) and (2+1) dimensions are re-examined based on the description of the SU(2)-valued field $g$. We first show that the topological soliton term in (1+1) dimensions arises from the unitary representations of the group characterizing the global structure of the symmetry inherent in the description, in a manner analogous to the appearance of the $\theta$-term in Yang-Mills theory in (3+1) dimensions. We then present a detailed argument as to why the conventional Hopf term, which is the topological counterpart in (2+1) dimensions and has been widely used to realize fractional spin and statistics, is ill-defined unless the soliton charge vanishes. We show how this restriction can be lifted by means of a procedure proposed recently, and provide its physical interpretation as well.

[ { "created": "Mon, 24 May 1999 05:53:57 GMT", "version": "v1" } ]

2009-10-31

[ [ "Tsurumaru", "Toyohiro", "" ], [ "Tsutsui", "Izumi", "" ] ]

Topological terms in the O(3) nonlinear sigma model in (1+1) and (2+1) dimensions are re-examined based on the description of the SU(2)-valued field $g$. We first show that the topological soliton term in (1+1) dimensions arises from the unitary representations of the group characterizing the global structure of the symmetry inherent in the description, in a manner analogous to the appearance of the $\theta$-term in Yang-Mills theory in (3+1) dimensions. We then present a detailed argument as to why the conventional Hopf term, which is the topological counterpart in (2+1) dimensions and has been widely used to realize fractional spin and statistics, is ill-defined unless the soliton charge vanishes. We show how this restriction can be lifted by means of a procedure proposed recently, and provide its physical interpretation as well.

7.62507

7.762715

7.730227

7.210985

7.238589

7.896982

7.503131

7.076813

7.260612

8.344999

7.636145

7.18276

7.64743

7.297276

7.034679

7.317943

7.138055

7.011195

7.413514

7.542936

7.312516

1207.4073

Mu-In Park

The Rotating Black Hole in Renormalizable Quantum Gravity: The Three-Dimensional Ho\v{r}ava Gravity Case

Some more elaborate discussions on the thermodynamics issue, the failure of the usual black hole thermodynamics, in the last paragraph of Sec. IV, Typos Corrected, 11 pages, 3 figures, Accepted in PLB

null

10.1016/j.physletb.2012.11.067

null

hep-th gr-qc

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

Recently Ho\v{r}ava proposed a renormalizable quantum gravity, without the ghost problem, by abandoning Einstein's equal-footing treatment of space and time through the anisotropic scaling dimensions. Since then various interesting aspects, including the exact black hole solutions have been studied but no "rotating" black hole solutions have been found yet, except some limiting cases. In order to fill the gap, I consider a simpler three-dimensional set-up with z=2 and obtain the exact rotating black hole solution. This solution has a ring curvature singularity inside the outer horizon, like the four- dimensional Kerr black hole in Einstein gravity, as well as a curvature singularity at the origin. The usual mass bound works also here but in a modified form. Moreover, it is shown that the conventional first law of thermodynamics with the usual Hawking temperature and chemical potential does not work, which seems to be the genuine effect of Lorentz-violating gravity due to lack of the absolute horizon.

[ { "created": "Tue, 17 Jul 2012 17:52:49 GMT", "version": "v1" }, { "created": "Thu, 26 Jul 2012 07:57:57 GMT", "version": "v2" }, { "created": "Tue, 27 Nov 2012 23:04:29 GMT", "version": "v3" } ]

2015-06-05

[ [ "Park", "Mu-In", "" ] ]

Recently Ho\v{r}ava proposed a renormalizable quantum gravity, without the ghost problem, by abandoning Einstein's equal-footing treatment of space and time through the anisotropic scaling dimensions. Since then various interesting aspects, including the exact black hole solutions have been studied but no "rotating" black hole solutions have been found yet, except some limiting cases. In order to fill the gap, I consider a simpler three-dimensional set-up with z=2 and obtain the exact rotating black hole solution. This solution has a ring curvature singularity inside the outer horizon, like the four- dimensional Kerr black hole in Einstein gravity, as well as a curvature singularity at the origin. The usual mass bound works also here but in a modified form. Moreover, it is shown that the conventional first law of thermodynamics with the usual Hawking temperature and chemical potential does not work, which seems to be the genuine effect of Lorentz-violating gravity due to lack of the absolute horizon.

12.237613

10.480914

11.879511

10.820676

11.386333

11.009748

12.204626

11.408545

10.918198

13.495683

10.476892

11.139705

11.128551

10.814255

10.951091

10.841564

11.221734

10.469382

10.776009

10.964391

11.102116

1412.2806

Philipp Kleinert

Ville Keranen, Philipp Kleinert

Non-equilibrium scalar two point functions in AdS/CFT

41 pages, 13 figures; v2: added section 6.5 & references

JHEP 1504 (2015) 119

10.1007/JHEP04(2015)119

null

hep-th

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

In the first part of the paper, we discuss different versions of the AdS/CFT dictionary out of equilibrium. We show that the Skenderis - van Rees prescription and the "extrapolate" dictionary are equivalent at the level of "in-in" two point functions of free scalar fields in arbitrary asymptotically AdS spacetimes. In the second part of the paper, we calculate two point correlation functions in dynamical spacetimes using the "extrapolate" dictionary. These calculations are performed for conformally coupled scalar fields in examples of spacetimes undergoing gravitational collapse, the AdS$_2$-Vaidya spacetime and the AdS$_3$-Vaidya spacetime, which allow us to address the problem of thermalization following a quench in the boundary field theory. The computation of the correlators is formulated as an initial value problem in the bulk spacetime. Finally, we compare our results for AdS$_3$-Vaidya to results in the previous literature obtained using the geodesic approximation and we find qualitative agreement.

[ { "created": "Mon, 8 Dec 2014 22:46:54 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2015 19:36:51 GMT", "version": "v2" } ]

2015-04-28

[ [ "Keranen", "Ville", "" ], [ "Kleinert", "Philipp", "" ] ]

In the first part of the paper, we discuss different versions of the AdS/CFT dictionary out of equilibrium. We show that the Skenderis - van Rees prescription and the "extrapolate" dictionary are equivalent at the level of "in-in" two point functions of free scalar fields in arbitrary asymptotically AdS spacetimes. In the second part of the paper, we calculate two point correlation functions in dynamical spacetimes using the "extrapolate" dictionary. These calculations are performed for conformally coupled scalar fields in examples of spacetimes undergoing gravitational collapse, the AdS$_2$-Vaidya spacetime and the AdS$_3$-Vaidya spacetime, which allow us to address the problem of thermalization following a quench in the boundary field theory. The computation of the correlators is formulated as an initial value problem in the bulk spacetime. Finally, we compare our results for AdS$_3$-Vaidya to results in the previous literature obtained using the geodesic approximation and we find qualitative agreement.

5.491017

5.159829

5.987143

5.038949

5.470988

5.329835

5.384994

4.901242

5.122288

5.839522

5.140015

5.100192

5.325057

5.179425

5.178378

5.229815

5.300022

5.234962

5.157243

5.308226

5.140934

hep-th/9710126

null

M. Henningson

Global anomalies in M-theory

14 pages, harvmac

Nucl.Phys. B515 (1998) 233-245

10.1016/S0550-3213(98)00003-0

CERN-TH/97-277

hep-th

null

We first consider M-theory formulated on an open eleven-dimensional spin-manifold. There is then a potential anomaly under gauge transformations on the E_8 bundle that is defined over the boundary and also under diffeomorphisms of the boundary. We then consider M-theory configurations that include a five-brane. In this case, diffeomorphisms of the eleven-manifold induce diffeomorphisms of the five-brane world-volume and gauge transformations on its normal bundle. These transformations are also potentially anomalous. In both of these cases, it has previously been shown that the perturbative anomalies, i.e. the anomalies under transformations that can be continuously connected to the identity, cancel. We extend this analysis to global anomalies, i.e. anomalies under transformations in other components of the group of gauge transformations and diffeomorphisms. These anomalies are given by certain topological invariants, that we explicitly construct.

[ { "created": "Wed, 15 Oct 1997 19:31:43 GMT", "version": "v1" } ]

2009-10-30

[ [ "Henningson", "M.", "" ] ]

We first consider M-theory formulated on an open eleven-dimensional spin-manifold. There is then a potential anomaly under gauge transformations on the E_8 bundle that is defined over the boundary and also under diffeomorphisms of the boundary. We then consider M-theory configurations that include a five-brane. In this case, diffeomorphisms of the eleven-manifold induce diffeomorphisms of the five-brane world-volume and gauge transformations on its normal bundle. These transformations are also potentially anomalous. In both of these cases, it has previously been shown that the perturbative anomalies, i.e. the anomalies under transformations that can be continuously connected to the identity, cancel. We extend this analysis to global anomalies, i.e. anomalies under transformations in other components of the group of gauge transformations and diffeomorphisms. These anomalies are given by certain topological invariants, that we explicitly construct.

6.598722

6.733428

7.571893

6.228925

7.186333

6.495109

6.770723

6.390555

6.003148

8.135193

6.167673

6.199468

6.750558

6.181509

6.379862

6.285211

6.320384

6.278136

6.159875

6.435786

6.259318

1008.3801

Ashoke Sen

Ipsita Mandal and Ashoke Sen

Black Hole Microstate Counting and its Macroscopic Counterpart

38 pages, LaTeX, based on lectures at various schools; v2: updated with recent results on sign of index, logarithmic corrections, localization etc

Class.Quant.Grav.27:214003,2010

10.1088/0264-9381/27/21/214003

null

hep-th gr-qc

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

We survey recent results on the exact dyon spectrum in a class of N=4 supersymmetric string theories, and discuss how the results can be understood from the macroscopic viewpoint using AdS_2/CFT_1 correspondence. The comparison between the microscopic and the macroscopic results includes power suppressed corrections to the entropy, the sign of the index, logarithmic corrections and also the twisted index measuring the distribution of discrete quantum numbers among the microstates.

[ { "created": "Mon, 23 Aug 2010 11:56:53 GMT", "version": "v1" }, { "created": "Tue, 3 Apr 2012 06:47:50 GMT", "version": "v2" } ]

2012-04-04

[ [ "Mandal", "Ipsita", "" ], [ "Sen", "Ashoke", "" ] ]

We survey recent results on the exact dyon spectrum in a class of N=4 supersymmetric string theories, and discuss how the results can be understood from the macroscopic viewpoint using AdS_2/CFT_1 correspondence. The comparison between the microscopic and the macroscopic results includes power suppressed corrections to the entropy, the sign of the index, logarithmic corrections and also the twisted index measuring the distribution of discrete quantum numbers among the microstates.

11.933014

11.18644

12.775255

10.318633

10.400978

10.152971

10.367783

9.134451

9.823977

12.058474

9.448316

9.783559

11.678646

10.049422

9.49172

10.054776

9.72574

10.026739

10.141273

11.111596

9.554947

hep-th/0605022

Martin Rocek

Albert Ko and Martin Rocek

A Gravitational Effective Action on a Finite Triangulation as a Discrete Model of Continuous Concepts

7 pages, 1 figure; Presented at the 26th Winter School GEOMETRY AND PHYSICS at Srni

null

YITP-SB-06-08, ITFA-2006-16

hep-th

null

We recall how the Gauss-Bonnet theorem can be interpreted as a finite dimen- sional index theorem. We describe the construction given in hep-th/0512293 of a function that can be interpreted as a gravitational effective action on a triangulation. The variation of this function under local rescalings of the edge lengths sharing a vertex is the Euler density, and we use it to illustrate how continuous concepts can have natural discrete analogs.

[ { "created": "Tue, 2 May 2006 13:09:45 GMT", "version": "v1" }, { "created": "Thu, 4 May 2006 16:13:24 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ko", "Albert", "" ], [ "Rocek", "Martin", "" ] ]

We recall how the Gauss-Bonnet theorem can be interpreted as a finite dimen- sional index theorem. We describe the construction given in hep-th/0512293 of a function that can be interpreted as a gravitational effective action on a triangulation. The variation of this function under local rescalings of the edge lengths sharing a vertex is the Euler density, and we use it to illustrate how continuous concepts can have natural discrete analogs.

14.307536

14.177709

15.906346

12.337461

14.70601

14.346128

13.891741

14.135755

13.243153

16.08433

14.393214

13.422983

14.143353

13.694358

13.426917

12.762114

14.225389

13.341477

14.261227

13.905682

14.303779

1907.06193

Lorenzo Bianchi

Marginal deformations and defect anomalies

8 pages, v2: derivation on coupling independence for superconformal surface defects added

Phys. Rev. D 100, 126018 (2019)

10.1103/PhysRevD.100.126018

null

hep-th

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

We deform a defect conformal field theory by an exactly marginal bulk operator and we consider the dependence on the marginal coupling of flat and spherical defect expectation values. For even dimensional spherical defects we find a logarithmic divergence which can be related to a $a$-type defect anomaly coefficient. This coefficient, for defect theories, is not invariant on the conformal manifold and its dependence on the coupling is controlled to all orders by the one-point function of the associated exactly marginal operator. For odd-dimensional defects, the flat and spherical case exhibit different qualitative behaviors, generalizing to arbitrary dimensions the line-circle anomaly of superconformal Wilson loops. Our results also imply a non-trivial coupling dependence for the recently proposed defect $C$-function. We finally apply our general result to a few specific examples, including superconformal Wilson loops and R\'enyi entropy.

[ { "created": "Sun, 14 Jul 2019 09:42:42 GMT", "version": "v1" }, { "created": "Fri, 20 Dec 2019 08:37:42 GMT", "version": "v2" } ]

2019-12-25

[ [ "Bianchi", "Lorenzo", "" ] ]

We deform a defect conformal field theory by an exactly marginal bulk operator and we consider the dependence on the marginal coupling of flat and spherical defect expectation values. For even dimensional spherical defects we find a logarithmic divergence which can be related to a $a$-type defect anomaly coefficient. This coefficient, for defect theories, is not invariant on the conformal manifold and its dependence on the coupling is controlled to all orders by the one-point function of the associated exactly marginal operator. For odd-dimensional defects, the flat and spherical case exhibit different qualitative behaviors, generalizing to arbitrary dimensions the line-circle anomaly of superconformal Wilson loops. Our results also imply a non-trivial coupling dependence for the recently proposed defect $C$-function. We finally apply our general result to a few specific examples, including superconformal Wilson loops and R\'enyi entropy.

12.141931

11.204408

14.505517

11.356303

11.417046

11.929506

10.147882

10.918023

10.059915

14.952672

11.181716

10.846037

12.04301

10.965706

11.091949

10.573035

10.901016

10.8789

10.715571

11.688164

10.700883

hep-th/0312115

Jacques Distler

Aaron Bergman, Jacques Distler and Uday Varadarajan

1+1 Dimensional Critical String Theory and Holography

9 pages, no figures. LaTeX2e (using utarticle.cls and utphys.bst)

null

UTTG-07-03

hep-th

null

In hep-th/0310120, Goheer, Kleban and Susskind argued that the holographic principle is inconsistent with the existence of stable, Lorentz invariant, 1+1 dimensional compactifications. We note some difficulties with their analysis and present two novel backgrounds of string theory with 1+1 noncompact dimensions that satisfy their conditions yet possess 16 or 24 supersymmetries. It is difficult to believe that such backgrounds could be unstable.

[ { "created": "Wed, 10 Dec 2003 22:13:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bergman", "Aaron", "" ], [ "Distler", "Jacques", "" ], [ "Varadarajan", "Uday", "" ] ]

In hep-th/0310120, Goheer, Kleban and Susskind argued that the holographic principle is inconsistent with the existence of stable, Lorentz invariant, 1+1 dimensional compactifications. We note some difficulties with their analysis and present two novel backgrounds of string theory with 1+1 noncompact dimensions that satisfy their conditions yet possess 16 or 24 supersymmetries. It is difficult to believe that such backgrounds could be unstable.

11.055367

10.547523

12.326206

10.10173

10.950911

10.314003

11.574492

11.660605

10.473975

13.247808

9.977702

9.073865

10.125781

9.49612

10.154071

10.396146

9.894807

9.310455

9.470788

10.057095

9.723567

1903.09503

Nicolas Wink

Eduardo Grossi and Nicolas Wink

Resolving phase transitions with Discontinuous Galerkin methods

19 pages, 9 figures; minor corrections

null

hep-th cond-mat.stat-mech hep-ph physics.comp-ph

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

We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (FRG). We investigate the $O(N)$-model in the large $N$ limit. It is shown that the flow equation for the effective potential can be cast into a conservative form. We discuss results for the Riemann problem, as well as initial conditions leading to a first and second order phase transition. In particular, we unravel the mechanism underlying first order phase transitions, based on the formation of a shock in the derivative of the effective potential.

[ { "created": "Fri, 22 Mar 2019 13:35:45 GMT", "version": "v1" }, { "created": "Tue, 23 Apr 2019 14:38:24 GMT", "version": "v2" }, { "created": "Wed, 3 Jul 2019 14:11:00 GMT", "version": "v3" }, { "created": "Tue, 15 Nov 2022 19:02:20 GMT", "version": "v4" } ]

2022-11-17

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

We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (FRG). We investigate the $O(N)$-model in the large $N$ limit. It is shown that the flow equation for the effective potential can be cast into a conservative form. We discuss results for the Riemann problem, as well as initial conditions leading to a first and second order phase transition. In particular, we unravel the mechanism underlying first order phase transitions, based on the formation of a shock in the derivative of the effective potential.

6.53165

6.292938

6.293562

5.924343

6.51014

6.548658

6.452028

6.054302

5.751594

7.074503

6.187334

6.001496

6.180872

5.938302

5.965623

5.939557

5.912321

5.928813

5.932752

6.270317

5.955687

hep-th/0010050

Carlos A. S. Almeida

R. R. Landim, C. A. S. Almeida (Departamento de Fisica-UFC)

Topologically massive nonabelian BF models in arbitrary space-time dimensions

7 pages

Phys.Lett. B504 (2001) 147-151

10.1016/S0370-2693(01)00264-7

null

hep-th

null

This work extends to the D-dimensional space-time the topological mass generation mechanism of the nonabelian BF model in four dimensions. In order to construct the gauge invariant nonabelian kinetic terms for a (D-2)-form B and a 1-form A, we introduce an auxiliary (D-3)-form V. Furthermore, we obtain a complete set of BRST and anti-BRST transformation rules of the fields using the so called horizontality condition, and construct a BRST/anti-BRST invariant quantum action for the model in D-dimensional space-time.

[ { "created": "Sat, 7 Oct 2000 04:19:44 GMT", "version": "v1" } ]

2009-10-31

[ [ "Landim", "R. R.", "", "Departamento de Fisica-UFC" ], [ "Almeida", "C. A. S.", "", "Departamento de Fisica-UFC" ] ]

This work extends to the D-dimensional space-time the topological mass generation mechanism of the nonabelian BF model in four dimensions. In order to construct the gauge invariant nonabelian kinetic terms for a (D-2)-form B and a 1-form A, we introduce an auxiliary (D-3)-form V. Furthermore, we obtain a complete set of BRST and anti-BRST transformation rules of the fields using the so called horizontality condition, and construct a BRST/anti-BRST invariant quantum action for the model in D-dimensional space-time.

7.715005

6.488509

8.091702

6.059388

6.174108

5.963146

6.281094

5.586146

6.091591

8.249059

6.335035

6.783006

7.432323

6.532672

6.588247

6.478832

6.821867

6.598289

6.65246

7.305224

6.724136

hep-th/9111002

null

H. Lu, C.N. Pope, X.J. Wang and K.W. Xu

Anomaly Freedom and Realisations for Super-$W_3$ Strings

22 pages

Nucl.Phys.B379:24-46,1992

10.1016/0550-3213(92)90588-3

null

hep-th

null

We construct new multi-field realisations of the $N=2$ super-$W_3$ algebra, which are important for building super-$W_3$ string theories. We derive the structure of the ghost vacuum for such theories, and use the result to calculate the intercepts. These results determine the conditions for physical states in the super-$W_3$ string theory.

[ { "created": "Fri, 1 Nov 1991 23:41:00 GMT", "version": "v1" } ]

2009-10-07

[ [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Wang", "X. J.", "" ], [ "Xu", "K. W.", "" ] ]

We construct new multi-field realisations of the $N=2$ super-$W_3$ algebra, which are important for building super-$W_3$ string theories. We derive the structure of the ghost vacuum for such theories, and use the result to calculate the intercepts. These results determine the conditions for physical states in the super-$W_3$ string theory.

10.604248

8.197888

9.941294

9.206765

10.75582

8.830576

8.967999

8.900406

8.951474

10.512481

9.442413

9.466394

10.33522

9.507906

9.754647

9.685837

9.541055

9.275761

10.060831

10.124377

9.818895

1101.4783

C. P. Martin Professsor

C.P.Martin

NC GUTs: A Status Report

15 pages; 1 figure; talk given at the Workshop on Noncommutative Field Theory and Gravity, Corfu, September 2010

PoS CNCFG2010:026,2011

null

hep-th hep-ph

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

I review the main results that have been obtained so far on the construction of noncommutative GUTs

[ { "created": "Tue, 25 Jan 2011 12:08:54 GMT", "version": "v1" } ]

2011-05-18

[ [ "Martin", "C. P.", "" ] ]

I review the main results that have been obtained so far on the construction of noncommutative GUTs

12.359165

7.477003

7.91008

7.999012

7.496495

6.54566

6.665115

7.226392

6.896914

7.396353

7.553915

7.046309

8.419234

7.474331

7.030811

6.725821

6.768462

7.512661

7.271304

8.002498

6.909655

1409.5984

Thijs van den Broek

Wim Beenakker, Walter D. van Suijlekom, Thijs van den Broek

Supersymmetry and noncommutative geometry Part III: The noncommutative supersymmetric Standard Model

null

hep-th

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

In a previous paper we developed a formalism to construct (potentially) supersymmetric theories in the context of noncommutative geometry. We apply this formalism to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model (MSSM). We obtain the exact particle content of the MSSM and identify (in form) its interactions but conclude that their coefficients are such that the standard action functional used in noncommutative geometry is in fact not supersymmetric.

[ { "created": "Sun, 21 Sep 2014 13:59:33 GMT", "version": "v1" } ]

2014-09-23

[ [ "Beenakker", "Wim", "" ], [ "van Suijlekom", "Walter D.", "" ], [ "Broek", "Thijs van den", "" ] ]

In a previous paper we developed a formalism to construct (potentially) supersymmetric theories in the context of noncommutative geometry. We apply this formalism to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model (MSSM). We obtain the exact particle content of the MSSM and identify (in form) its interactions but conclude that their coefficients are such that the standard action functional used in noncommutative geometry is in fact not supersymmetric.

9.920341

9.324133

9.86131

9.776713

10.248096

9.918414

9.447667

9.195827

9.526605

11.483882

8.669991

9.421842

9.902767

9.221281

9.295741

9.44874

8.858783

9.55277

9.584084

9.324973

9.105803

hep-th/0306023

Nicolas Boulanger

Nicolas Boulanger, Sandrine Cnockaert and Marc Henneaux

A note on spin-s duality

Minor corrections, reference added

JHEP 0306 (2003) 060

10.1088/1126-6708/2003/06/060

null

hep-th

null

Duality is investigated for higher spin ($s \geq 2$), free, massless, bosonic gauge fields. We show how the dual formulations can be derived from a common "parent", first-order action. This goes beyond most of the previous treatments where higher-spin duality was investigated at the level of the equations of motion only. In D=4 spacetime dimensions, the dual theories turn out to be described by the same Pauli-Fierz (s=2) or Fronsdal ($s \geq 3$) action (as it is the case for spin 1). In the particular s=2 D=5 case, the Pauli-Fierz action and the Curtright action are shown to be related through duality. A crucial ingredient of the analysis is given by the first-order, gauge-like, reformulation of higher spin theories due to Vasiliev.

[ { "created": "Tue, 3 Jun 2003 18:40:41 GMT", "version": "v1" }, { "created": "Fri, 11 Jul 2003 19:13:16 GMT", "version": "v2" }, { "created": "Sun, 7 Sep 2003 15:22:25 GMT", "version": "v3" } ]

2009-11-10

[ [ "Boulanger", "Nicolas", "" ], [ "Cnockaert", "Sandrine", "" ], [ "Henneaux", "Marc", "" ] ]

Duality is investigated for higher spin ($s \geq 2$), free, massless, bosonic gauge fields. We show how the dual formulations can be derived from a common "parent", first-order action. This goes beyond most of the previous treatments where higher-spin duality was investigated at the level of the equations of motion only. In D=4 spacetime dimensions, the dual theories turn out to be described by the same Pauli-Fierz (s=2) or Fronsdal ($s \geq 3$) action (as it is the case for spin 1). In the particular s=2 D=5 case, the Pauli-Fierz action and the Curtright action are shown to be related through duality. A crucial ingredient of the analysis is given by the first-order, gauge-like, reformulation of higher spin theories due to Vasiliev.

7.358603

6.876155

7.656142

6.858126

7.085817

7.42933

7.388761

6.991433

6.913025

7.828866

6.711427

6.696156

6.83275

6.70905

6.841166

6.748508

6.822539

6.737333

6.701944

6.699288

6.981866

1611.07981

Marc Schneider

Stefan Hofmann and Marc Schneider

Non-Gaussian ground-state deformations near a black-hole singularity

6 pages

Phys. Rev. D 95, 065033 (2017)

10.1103/PhysRevD.95.065033

null

hep-th gr-qc

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

The singularity theorem by Hawking and Penrose qualifies Schwarzschild black-holes as geodesic incomplete space-times. Albeit this is a mathematically rigorous statement, it requires an operational framework that allows to probe the space-like singularity via a measurement process. Any such framework necessarily has to be based on quantum theory. As a consequence, the notion of classical completeness needs to be adapted to situations where the only adequate description is in terms of quantum fields in dynamical space-times. It is shown that Schwarzschild black-holes turn out to be complete when probed by self-interacting quantum fields in the ground state and in excited states. The measure for populating quantum fields on hypersurfaces in the vicinity of the black-hole singularity goes to zero towards the singularity. This statement is robust under non-Gaussian deformations of and excitations relative to the ground state. The clash of completeness cultures as exemplified with black holes is discussed.

[ { "created": "Wed, 23 Nov 2016 21:00:04 GMT", "version": "v1" }, { "created": "Mon, 3 Apr 2017 07:21:51 GMT", "version": "v2" } ]

2017-04-04

[ [ "Hofmann", "Stefan", "" ], [ "Schneider", "Marc", "" ] ]

The singularity theorem by Hawking and Penrose qualifies Schwarzschild black-holes as geodesic incomplete space-times. Albeit this is a mathematically rigorous statement, it requires an operational framework that allows to probe the space-like singularity via a measurement process. Any such framework necessarily has to be based on quantum theory. As a consequence, the notion of classical completeness needs to be adapted to situations where the only adequate description is in terms of quantum fields in dynamical space-times. It is shown that Schwarzschild black-holes turn out to be complete when probed by self-interacting quantum fields in the ground state and in excited states. The measure for populating quantum fields on hypersurfaces in the vicinity of the black-hole singularity goes to zero towards the singularity. This statement is robust under non-Gaussian deformations of and excitations relative to the ground state. The clash of completeness cultures as exemplified with black holes is discussed.

10.561768

11.137502

11.415078

10.660905

11.931975

11.364249

11.925036

11.073561

11.313816

11.405692

10.692274

10.418689

10.686585

10.480575

10.310656

10.586712

10.452756

10.603838

10.743565

10.415063

10.321076

1604.05003

Subham Dutta Chowdhury

Subham Dutta Chowdhury, Justin R. David

Global gravitational anomalies and transport

53 pages, Mathematica code for Wick contractions available on request

null

hep-th

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

We investigate the constraints imposed by global gravitational anomalies on parity odd induced transport coefficients in even dimensions for theories with chiral fermions, gravitinos and self dual tensors. The $\eta$-invariant for the large diffeomorphism corresponding to the $T$ transformation on a torus constraints the coefficients in the thermal effective action up to mod 2. We show that the result obtained for the parity odd transport for gravitinos using global anomaly matching is consistent with the direct perturbative calculation. In $d=6$ we see that the second Pontryagin class in the anomaly polynomial does not contribute to the $\eta$-invariant which provides a topological explanation of this observation in the `replacement rule'. We then perform a direct perturbative calculation for the contribution of the self dual tensor in $d=6$ to the parity odd transport coefficient using the Feynman rules proposed by Gaum\'{e} and Witten. The result for the transport coefficient agrees with that obtained using matching of global anomalies.

[ { "created": "Mon, 18 Apr 2016 06:03:05 GMT", "version": "v1" }, { "created": "Mon, 23 May 2016 08:15:42 GMT", "version": "v2" } ]

2016-05-24

[ [ "Chowdhury", "Subham Dutta", "" ], [ "David", "Justin R.", "" ] ]

We investigate the constraints imposed by global gravitational anomalies on parity odd induced transport coefficients in even dimensions for theories with chiral fermions, gravitinos and self dual tensors. The $\eta$-invariant for the large diffeomorphism corresponding to the $T$ transformation on a torus constraints the coefficients in the thermal effective action up to mod 2. We show that the result obtained for the parity odd transport for gravitinos using global anomaly matching is consistent with the direct perturbative calculation. In $d=6$ we see that the second Pontryagin class in the anomaly polynomial does not contribute to the $\eta$-invariant which provides a topological explanation of this observation in the `replacement rule'. We then perform a direct perturbative calculation for the contribution of the self dual tensor in $d=6$ to the parity odd transport coefficient using the Feynman rules proposed by Gaum\'{e} and Witten. The result for the transport coefficient agrees with that obtained using matching of global anomalies.

8.991769

9.271704

10.22889

9.4065

9.282868

8.845022

8.424432

8.759876

9.005817

10.186191

8.7014

8.437811

9.049598

8.553771

8.266987

8.4924

8.408535

8.607402

8.600088

9.141046

8.278686

2103.14640

Giorgos Anastasiou

Giorgos Anastasiou, Ignacio J. Araya, Robert B. Mann and Rodrigo Olea

Renormalized holographic entanglement entropy in Lovelock gravity

38 pages,no figures, One reference added

null

10.1007/JHEP06(2021)073

null

hep-th gr-qc

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

We study the renormalization of Entanglement Entropy in holographic CFTs dual to Lovelock gravity. It is known that the holographic EE in Lovelock gravity is given by the Jacobson-Myers (JM) functional. As usual, due to the divergent Weyl factor in the Fefferman-Graham expansion of the boundary metric for Asymptotically AdS spaces, this entropy functional is infinite. By considering the Kounterterm renormalization procedure, which utilizes extrinsic boundary counterterms in order to renormalize the on-shell Lovelock gravity action for AAdS spacetimes, we propose a new renormalization prescription for the Jacobson-Myers functional. We then explicitly show the cancellation of divergences in the EE up to next-to-leading order in the holographic radial coordinate, for the case of spherical entangling surfaces. Using this new renormalization prescription, we directly find the $C-$function candidates for odd and even dimensional CFTs dual to Lovelock gravity. Our results illustrate the notable improvement that the Kounterterm method affords over other approaches, as it is non-perturbative and does not require that the Lovelock theory has limiting Einstein behavior.

[ { "created": "Fri, 26 Mar 2021 17:55:23 GMT", "version": "v1" }, { "created": "Sun, 13 Jun 2021 16:13:17 GMT", "version": "v2" }, { "created": "Tue, 15 Jun 2021 22:48:12 GMT", "version": "v3" } ]

2021-06-17

[ [ "Anastasiou", "Giorgos", "" ], [ "Araya", "Ignacio J.", "" ], [ "Mann", "Robert B.", "" ], [ "Olea", "Rodrigo", "" ] ]

We study the renormalization of Entanglement Entropy in holographic CFTs dual to Lovelock gravity. It is known that the holographic EE in Lovelock gravity is given by the Jacobson-Myers (JM) functional. As usual, due to the divergent Weyl factor in the Fefferman-Graham expansion of the boundary metric for Asymptotically AdS spaces, this entropy functional is infinite. By considering the Kounterterm renormalization procedure, which utilizes extrinsic boundary counterterms in order to renormalize the on-shell Lovelock gravity action for AAdS spacetimes, we propose a new renormalization prescription for the Jacobson-Myers functional. We then explicitly show the cancellation of divergences in the EE up to next-to-leading order in the holographic radial coordinate, for the case of spherical entangling surfaces. Using this new renormalization prescription, we directly find the $C-$function candidates for odd and even dimensional CFTs dual to Lovelock gravity. Our results illustrate the notable improvement that the Kounterterm method affords over other approaches, as it is non-perturbative and does not require that the Lovelock theory has limiting Einstein behavior.

6.751791

6.807885

8.268936

6.882514

7.638699

7.014493

6.97041

6.847635

6.642079

8.100402

6.625727

6.831464

6.854178

6.764564

6.600802

6.794524

6.878448

6.662759

6.812472

6.628557

6.779805

hep-th/0305027

Marty Stock

R. Jackiw

Noncommuting fields and non-Abelian fluids

16 pp., invited talk at "Renormalization Group and Anomalies in Gravity and Cosmology", Ouro Preto, Brazil, March 2003. Minor typos corrected

null

10.1016/S0920-5632(03)02400-9

MIT-CTP-3369

hep-th

null

The original ideas about noncommuting coordinates are recalled. The connection between U(1) gauge fields defined on noncommuting coordinates and fluid mechanics is explained. Non-Abelian fluid mechanics is described.

[ { "created": "Fri, 2 May 2003 17:20:21 GMT", "version": "v1" }, { "created": "Fri, 2 May 2003 21:17:59 GMT", "version": "v2" } ]

2009-11-10

[ [ "Jackiw", "R.", "" ] ]

The original ideas about noncommuting coordinates are recalled. The connection between U(1) gauge fields defined on noncommuting coordinates and fluid mechanics is explained. Non-Abelian fluid mechanics is described.

17.507151

8.743142

14.464924

11.681066

10.765667

10.248636

10.385305

11.057757

10.149792

15.961503

11.28073

13.11831

15.152787

12.734248

13.540381

12.923985

12.676194

13.521828

13.275759

13.966516

13.533597

hep-th/9902169

Shigeaki Yahikozawa

Masafumi Fukuma and Shigeaki Yahikozawa

Comments on D-Instantons in c<1 Strings

12 pages with 1 figure, LaTex, Version to appear in PLB

Phys.Lett. B460 (1999) 71-78

10.1016/S0370-2693(99)00744-3

YITP-99-9, RUP-99-2

hep-th

null

We suggest that the boundary cosmological constant \zeta in c<1 unitary string theory be regarded as the one-dimensional complex coordinate of the target space on which the boundaries of world-sheets can live. From this viewpoint we explicitly construct analogues of D-instantons which satisfy Polchinski's ``combinatorics of boundaries.'' We further show that our operator formalism developed in the preceding articles is powerful in evaluating D-instanton effects, and also demonstrate for simple cases that these effects exactly coincide with the stringy nonperturbative effects found in the exact solutions of string equations.

[ { "created": "Tue, 23 Feb 1999 23:04:46 GMT", "version": "v1" }, { "created": "Wed, 24 Feb 1999 12:35:02 GMT", "version": "v2" }, { "created": "Sat, 27 Feb 1999 11:33:06 GMT", "version": "v3" }, { "created": "Fri, 18 Jun 1999 12:36:49 GMT", "version": "v4" } ]

2009-10-31

[ [ "Fukuma", "Masafumi", "" ], [ "Yahikozawa", "Shigeaki", "" ] ]

We suggest that the boundary cosmological constant \zeta in c<1 unitary string theory be regarded as the one-dimensional complex coordinate of the target space on which the boundaries of world-sheets can live. From this viewpoint we explicitly construct analogues of D-instantons which satisfy Polchinski's ``combinatorics of boundaries.'' We further show that our operator formalism developed in the preceding articles is powerful in evaluating D-instanton effects, and also demonstrate for simple cases that these effects exactly coincide with the stringy nonperturbative effects found in the exact solutions of string equations.

19.837978

15.880938

21.915636

17.162455

17.882036

18.978436

17.732132

18.623585

18.092768

24.45401

17.098906

18.506964

22.000853

18.428747

18.338305

18.891798

18.683876

19.126368

18.680126

21.167881

18.381269

hep-th/0008111

Ken-iti Izawa

S. Hayakawa and K.-I. Izawa

Warped Compactification with an Abelian Gauge Theory

6 pages, latex

Phys.Lett. B493 (2000) 380-382

10.1016/S0370-2693(00)01158-8

UT-905

hep-th

null

We investigate warped compactification with an abelian gauge theory in six dimensions. The vanishing cosmological constant in four dimensions can generically be realized with a regular metric even in a 3-brane background without fine tuning of couplings.

[ { "created": "Mon, 14 Aug 2000 08:30:59 GMT", "version": "v1" }, { "created": "Tue, 10 Oct 2000 04:54:33 GMT", "version": "v2" } ]

2009-10-31

[ [ "Hayakawa", "S.", "" ], [ "Izawa", "K. -I.", "" ] ]

We investigate warped compactification with an abelian gauge theory in six dimensions. The vanishing cosmological constant in four dimensions can generically be realized with a regular metric even in a 3-brane background without fine tuning of couplings.

16.995167

14.228696

15.105953

13.385711

12.501893

14.118773

13.540811

14.271165

13.649506

15.912947

13.08133

14.609529

14.929019

13.953774

14.633723

13.335724

14.172487

13.199013

13.720888

15.068227

13.881378

1106.0295

Gianluca Calcagni

Discrete to continuum transition in multifractal spacetimes

4 pages; v2: presentation clarified, typos corrected, results unchanged; v3: matches the published version; v4: hyperlinks activated

Phys.Rev.D84:061501,2011

10.1103/PhysRevD.84.061501

AEI-2011-030

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

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

We outline a field theory on a multifractal spacetime. The measure in the action is characterized by a varying Hausdorff dimension and logarithmic oscillations governed by a fundamental physical length. A fine hierarchy of length scales identifies different regimes, from a microscopic structure with discrete symmetries to an effectively continuum spacetime. Thanks to general arguments from fractal geometry, this scenario explicitly realizes two indirect or conjectured features of most quantum gravity models: a change of effective spacetime dimensionality with the probed scale, and the transition from a fundamentally discrete quantum spacetime to the continuum. It also allows us to probe ultramicroscopic scales where spectral methods based on ordinary geometry typically fail. Consequences for noncommutative field theories are discussed.

[ { "created": "Wed, 1 Jun 2011 19:59:52 GMT", "version": "v1" }, { "created": "Sun, 5 Jun 2011 15:56:21 GMT", "version": "v2" }, { "created": "Fri, 2 Sep 2011 09:47:48 GMT", "version": "v3" }, { "created": "Mon, 5 Sep 2011 08:58:49 GMT", "version": "v4" } ]

2011-09-29

[ [ "Calcagni", "Gianluca", "" ] ]

We outline a field theory on a multifractal spacetime. The measure in the action is characterized by a varying Hausdorff dimension and logarithmic oscillations governed by a fundamental physical length. A fine hierarchy of length scales identifies different regimes, from a microscopic structure with discrete symmetries to an effectively continuum spacetime. Thanks to general arguments from fractal geometry, this scenario explicitly realizes two indirect or conjectured features of most quantum gravity models: a change of effective spacetime dimensionality with the probed scale, and the transition from a fundamentally discrete quantum spacetime to the continuum. It also allows us to probe ultramicroscopic scales where spectral methods based on ordinary geometry typically fail. Consequences for noncommutative field theories are discussed.

17.412395

16.796614

17.623423

16.25382

17.971382

16.965984

17.009293

15.724244

16.76078

18.184328

17.395725

17.039873

17.148752

16.495695

17.183033

16.723015

16.772818

16.705173

17.49968

16.520096

16.244959

2207.05101

Dhruva K.S

Prabhav Jain, Sachin Jain, Bibhut Sahoo, Dhruva K.S, Aashna Zade

Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators

39 pages+28 pages appendices, Published version

J. High Energ. Phys. 2023, 173 (2023)

10.1007/JHEP12(2023)173

null

hep-th

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

We develop a systematic method to constrain any n-point correlation function of spinning operators in Large N Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which reproduce the previously known results. We then work out the four point functions of spinning operators. We show that the correlation functions of spinning operators in the interacting SBHS theory take a remarkably simple form and that they can be written just in terms of the free fermionic and critical bosonic theory correlators. They also interpolate nicely between the results in these two theories. When expressed in spinor-helicity variables we obtain an anyonic phase which nicely interpolates between the free fermionic and critical bosonic results which makes 3D bosonization manifest. Further, we also obtain a form for five and higher point functions as well by performing a similar analysis.

[ { "created": "Mon, 11 Jul 2022 18:00:05 GMT", "version": "v1" }, { "created": "Wed, 31 Aug 2022 12:18:35 GMT", "version": "v2" }, { "created": "Sat, 23 Mar 2024 08:10:57 GMT", "version": "v3" } ]

2024-03-26

[ [ "Jain", "Prabhav", "" ], [ "Jain", "Sachin", "" ], [ "Sahoo", "Bibhut", "" ], [ "S", "Dhruva K.", "" ], [ "Zade", "Aashna", "" ] ]

We develop a systematic method to constrain any n-point correlation function of spinning operators in Large N Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which reproduce the previously known results. We then work out the four point functions of spinning operators. We show that the correlation functions of spinning operators in the interacting SBHS theory take a remarkably simple form and that they can be written just in terms of the free fermionic and critical bosonic theory correlators. They also interpolate nicely between the results in these two theories. When expressed in spinor-helicity variables we obtain an anyonic phase which nicely interpolates between the free fermionic and critical bosonic results which makes 3D bosonization manifest. Further, we also obtain a form for five and higher point functions as well by performing a similar analysis.

12.313711

11.543274

14.110864

11.022279

11.586652

11.098366

11.202236

11.457685

10.921926

13.865554

10.82772

11.091824

11.620225

11.524157

11.434786

11.552045

10.993171

10.976116

11.0617

11.847504

10.972045

1507.00818

Arnab Kundu

Effective Temperature in Steady-state Dynamics from Holography

48 pages, 2 figures

null

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

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

We argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy, but no well-defined notion of entropy. Such systems are described by probe degrees of freedom propagating in a much larger background, e.g. $N_f$ number of ${\cal N} =2$ hypermultiplets in ${\cal N}=4$ $SU(N_c)$ super Yang-Mills theory, in the limit $N_f \ll N_c$. The steady-state is induced by exciting an external electric field that couples to the hypermultiplets and drives a constant current. With various stringy examples, we demonstrate that an open string equivalence principle determines a unique effective temperature for all fluctuations in the probe-sector. We further discuss various properties of the corresponding open string metric that determines the effective geometry which the probe degrees of freedom are coupled to. We also comment on the non-Abelian generalization, where the effective temperature depends on the corresponding sector of the fluctuation modes.

[ { "created": "Fri, 3 Jul 2015 05:28:30 GMT", "version": "v1" } ]

2015-07-06

[ [ "Kundu", "Arnab", "" ] ]

We argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy, but no well-defined notion of entropy. Such systems are described by probe degrees of freedom propagating in a much larger background, e.g. $N_f$ number of ${\cal N} =2$ hypermultiplets in ${\cal N}=4$ $SU(N_c)$ super Yang-Mills theory, in the limit $N_f \ll N_c$. The steady-state is induced by exciting an external electric field that couples to the hypermultiplets and drives a constant current. With various stringy examples, we demonstrate that an open string equivalence principle determines a unique effective temperature for all fluctuations in the probe-sector. We further discuss various properties of the corresponding open string metric that determines the effective geometry which the probe degrees of freedom are coupled to. We also comment on the non-Abelian generalization, where the effective temperature depends on the corresponding sector of the fluctuation modes.

9.357618

9.163073

9.231557

8.655025

9.764401

9.06254

9.445128

8.941967

8.968846

10.544767

8.787756

9.002492

9.192581

8.641513

9.092732

8.865107

9.091575

8.617497

8.597348

9.29587

8.882701

1006.5145

Tim Koslowski A

Tim A. Koslowski, Alessandro Sfondrini

Functional Renormalization of Noncommutative Scalar Field Theory

38 pages, no figures, LaTeX

Int.J.Mod.Phys.A26:4009-4051,2011

10.1142/S0217751X11054048

null

hep-th gr-qc

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

In this paper we apply the Functional Renormalization Group Equation (FRGE) to the non-commutative scalar field theory proposed by Grosse and Wulkenhaar. We derive the flow equation in the matrix representation and discuss the theory space for the self-dual model. The features introduced by the external dimensionful scale provided by the non-commutativity parameter, originally pointed out in \cite{Gurau:2009ni}, are discussed in the FRGE context. Using a technical assumption, but without resorting to any truncation, it is then shown that the theory is asymptotically safe for suitably small values of the $\phi^4$ coupling, recovering the result of \cite{disertori:2007}. Finally, we show how the FRGE can be easily used to compute the one loop beta-functions of the duality covariant model.

[ { "created": "Sat, 26 Jun 2010 14:34:55 GMT", "version": "v1" }, { "created": "Sun, 3 Jul 2011 16:25:47 GMT", "version": "v2" } ]

2011-09-19

[ [ "Koslowski", "Tim A.", "" ], [ "Sfondrini", "Alessandro", "" ] ]

In this paper we apply the Functional Renormalization Group Equation (FRGE) to the non-commutative scalar field theory proposed by Grosse and Wulkenhaar. We derive the flow equation in the matrix representation and discuss the theory space for the self-dual model. The features introduced by the external dimensionful scale provided by the non-commutativity parameter, originally pointed out in \cite{Gurau:2009ni}, are discussed in the FRGE context. Using a technical assumption, but without resorting to any truncation, it is then shown that the theory is asymptotically safe for suitably small values of the $\phi^4$ coupling, recovering the result of \cite{disertori:2007}. Finally, we show how the FRGE can be easily used to compute the one loop beta-functions of the duality covariant model.

7.565872

7.739892

9.236171

6.765149

7.513343

7.129273

7.590572

7.464725

7.48736

8.18295

7.24514

7.044683

7.468328

6.953874

6.896282

7.120355

7.108132

7.027926

6.960991

7.243681

6.769734

1601.04658

Marco Crisostomi

Marco Crisostomi, Matthew Hull, Kazuya Koyama and Gianmassimo Tasinato

Horndeski: beyond, or not beyond?

19 pages, published version

JCAP03 (2016) 038

10.1088/1475-7516/2016/03/038

null

hep-th astro-ph.CO gr-qc

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

Determining the most general, consistent scalar tensor theory of gravity is important for building models of inflation and dark energy. In this work we investigate the number of degrees of freedom present in the theory of beyond Horndeski. We discuss how to construct the theory from the extrinsic curvature of the constant scalar field hypersurface, and find a simple expression for the action which guarantees the existence of the primary constraint necessary to avoid the Ostrogradsky instability. Our analysis is completely gauge-invariant. However we confirm that, mixing together beyond Horndeski with a different order of Horndeski, obstructs the construction of this primary constraint. Instead, when the mixing is between actions of the same order, the theory can be mapped to Horndeski through a generalised disformal transformation. This mapping however is impossible with beyond Horndeski alone, since we find that the theory is invariant under such a transformation. The picture that emerges is that beyond Horndeski is a healthy but isolated theory: combined with Horndeski, it either becomes Horndeski, or likely propagates a ghost.

[ { "created": "Mon, 18 Jan 2016 19:25:22 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2016 11:41:53 GMT", "version": "v2" } ]

2016-03-23

[ [ "Crisostomi", "Marco", "" ], [ "Hull", "Matthew", "" ], [ "Koyama", "Kazuya", "" ], [ "Tasinato", "Gianmassimo", "" ] ]

Determining the most general, consistent scalar tensor theory of gravity is important for building models of inflation and dark energy. In this work we investigate the number of degrees of freedom present in the theory of beyond Horndeski. We discuss how to construct the theory from the extrinsic curvature of the constant scalar field hypersurface, and find a simple expression for the action which guarantees the existence of the primary constraint necessary to avoid the Ostrogradsky instability. Our analysis is completely gauge-invariant. However we confirm that, mixing together beyond Horndeski with a different order of Horndeski, obstructs the construction of this primary constraint. Instead, when the mixing is between actions of the same order, the theory can be mapped to Horndeski through a generalised disformal transformation. This mapping however is impossible with beyond Horndeski alone, since we find that the theory is invariant under such a transformation. The picture that emerges is that beyond Horndeski is a healthy but isolated theory: combined with Horndeski, it either becomes Horndeski, or likely propagates a ghost.

8.746405

9.106649

9.361326

8.510442

8.623479

8.672847

8.891216

8.768882

8.586143

9.945299

8.919603

8.7409

8.617804

8.832056

8.443037

8.586867

8.543821

8.330588

8.551909

9.285691

8.672092

hep-th/0607072

Gabriel Bengochea

Matias Aiello, Gabriel Bengochea and Rafael Ferraro

Anisotropic effects of background fields on Born-Infeld electromagnetic waves

4 pages, Revtex4, 1 figure, corrected typos, comments clarified, version accepted for publication

Phys.Lett.A361:9-12,2007

10.1016/j.physleta.2006.09.027

null

hep-th gr-qc physics.optics

null

We show exact solutions of Born-Infeld theory for electromagnetic plane waves propagating in the presence of static background fields. The non-linear character of Born-Infeld equations generates an interaction between background and wave that changes the speed of propagation and adds a longitudinal component to the wave. As a consequence, in a magnetic background the ray direction differs from the propagation direction --a behavior resembling the one of a wave in an anisotropic medium--. This feature could open up a way to experimental tests of Born-Infeld theory.

[ { "created": "Tue, 11 Jul 2006 19:18:47 GMT", "version": "v1" }, { "created": "Wed, 27 Sep 2006 15:17:14 GMT", "version": "v2" } ]

2011-07-19

[ [ "Aiello", "Matias", "" ], [ "Bengochea", "Gabriel", "" ], [ "Ferraro", "Rafael", "" ] ]

We show exact solutions of Born-Infeld theory for electromagnetic plane waves propagating in the presence of static background fields. The non-linear character of Born-Infeld equations generates an interaction between background and wave that changes the speed of propagation and adds a longitudinal component to the wave. As a consequence, in a magnetic background the ray direction differs from the propagation direction --a behavior resembling the one of a wave in an anisotropic medium--. This feature could open up a way to experimental tests of Born-Infeld theory.

9.55723

8.400528

8.899508

8.344199

8.833611

8.67699

9.558333

8.477256

8.746393

9.318819

8.622831

9.042745

9.161804

8.925017

9.036864

9.020281

9.176525

8.80734

8.594784

9.398067

8.791725

2405.17559

Maria Knysh

Maria Knysh, Hong Liu, Natalia Pinzani-Fokeeva

New horizon symmetries, hydrodynamics, and quantum chaos

36 pages+ appendices, 1 figure

null

hep-th

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

We generalize the formulation of horizon symmetries presented in previous literature to include diffeomorphisms that can shift the location of the horizon. In the context of the AdS/CFT duality, we show that horizon symmetries can be interpreted on the boundary as emergent low-energy gauge symmetries. In particular, we identify a new class of horizon symmetries that extend the so-called shift symmetry, which was previously postulated for effective field theories of maximally chaotic systems. Additionally, we comment on the connections of horizon symmetries with bulk calculations of out-of-time-ordered correlation functions and the phenomenon of pole-skipping.

[ { "created": "Mon, 27 May 2024 18:00:05 GMT", "version": "v1" } ]

2024-05-29

[ [ "Knysh", "Maria", "" ], [ "Liu", "Hong", "" ], [ "Pinzani-Fokeeva", "Natalia", "" ] ]

We generalize the formulation of horizon symmetries presented in previous literature to include diffeomorphisms that can shift the location of the horizon. In the context of the AdS/CFT duality, we show that horizon symmetries can be interpreted on the boundary as emergent low-energy gauge symmetries. In particular, we identify a new class of horizon symmetries that extend the so-called shift symmetry, which was previously postulated for effective field theories of maximally chaotic systems. Additionally, we comment on the connections of horizon symmetries with bulk calculations of out-of-time-ordered correlation functions and the phenomenon of pole-skipping.

7.303627

7.029874

7.718069

7.485529

6.936343

6.641073

6.923548

6.33588

6.757953

7.526013

6.773624

6.944153

7.560749

6.930277

6.767955

6.918327

6.799345

6.896921

6.881775

7.399639

6.91151

hep-th/0011201

Takayuki Matsuki

Takayuki Matsuki, Masashi Shiotani

Gauge Symmetry Breakdown due to Dyanamical versus Elementary Higgs

RevTeX, 10 pages, 5 figures

null

hep-th

null

We study in details on how gauge bosons can acquire mass when the chiral symmetry dynamically breaks down for massless gauge theory without scalars. Introducing dynamical scalar fields into the original gauge theory, we show that when the chiral symmetry breaks down, the theory gives gauge boson masses different from what would be obatained if an elemetary Higgs is included. We clarify the reason and propose one method how to calculate gauge boson masses in the case of dynamical gauge symmtry breakdown. We explain the method by using an example in which SU(5) massless gauge theory breaks down to SU(4) with massless fermions in appropriate representations.

[ { "created": "Wed, 22 Nov 2000 16:40:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Matsuki", "Takayuki", "" ], [ "Shiotani", "Masashi", "" ] ]

We study in details on how gauge bosons can acquire mass when the chiral symmetry dynamically breaks down for massless gauge theory without scalars. Introducing dynamical scalar fields into the original gauge theory, we show that when the chiral symmetry breaks down, the theory gives gauge boson masses different from what would be obatained if an elemetary Higgs is included. We clarify the reason and propose one method how to calculate gauge boson masses in the case of dynamical gauge symmtry breakdown. We explain the method by using an example in which SU(5) massless gauge theory breaks down to SU(4) with massless fermions in appropriate representations.

12.497534

11.745599

11.963021

11.483424

11.853977

12.309041

11.829769

11.314777

11.00827

12.480359

11.451163

11.279552

11.407936

11.225283

11.589358

11.484383

11.525704

11.156541

11.355414

11.738147

11.384485

hep-th/9705008

Sergei Odintsov

A.A. Bytsenko, L.N. Granda and S.D. Odintsov

Exact Renormalization Group and Running Newtonian Coupling in Higher Derivative Gravity

Latex file, 9 pages

JETP Lett.65:600-604,1997

10.1134/1.567411

null

hep-th

null

We discuss exact renormalization group (RG) in $R^2$-gravity using effective average action formalism. The truncated evolution equation for such a theory on De Sitter background leads to the system of nonperturbative RG equations for cosmological and gravitational coupling constants. Approximate solution of these RG equations shows the appearence of antiscreening and screening behaviour of Newtonian coupling what depends on higher derivative coupling constants.

[ { "created": "Fri, 2 May 1997 09:27:23 GMT", "version": "v1" } ]

2009-09-17

[ [ "Bytsenko", "A. A.", "" ], [ "Granda", "L. N.", "" ], [ "Odintsov", "S. D.", "" ] ]

We discuss exact renormalization group (RG) in $R^2$-gravity using effective average action formalism. The truncated evolution equation for such a theory on De Sitter background leads to the system of nonperturbative RG equations for cosmological and gravitational coupling constants. Approximate solution of these RG equations shows the appearence of antiscreening and screening behaviour of Newtonian coupling what depends on higher derivative coupling constants.

14.117628

11.16011

9.142879

9.596094

11.012481

10.200146

9.954518

9.429138

10.555902

13.43968

11.010346

11.879107

11.859509

11.398269

11.819875

11.685094

11.35536

11.174611

12.134621

12.08707

11.405048

1807.04416

Patrick Copinger

Patrick Copinger, Kenji Fukushima, Shi Pu

Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates

5 pages, 2 figures

Phys. Rev. Lett. 121, 261602 (2018)

10.1103/PhysRevLett.121.261602

null

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

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

We elucidate chirality production under parity breaking constant electromagnetic fields, with which we clarify qualitative differences in and out of equilibrium. For a strong magnetic field the pair production from the Schwinger mechanism increments the chirality. The pair production rate is exponentially suppressed with mass according to the Schwinger formula, while the mass dependence of chirality production in the axial Ward identity appears in the pesudo-scalar term. We demonstrate that in equilibrium field theory calculus the axial anomaly is canceled by the pseudo-scalar condensate for any mass. In a real-time formulation with in- and out-states, we show that the axial Ward identity leads to the chirality production rate consistent with the Schwinger formula. We illuminate that such an in- and out-states formulation makes clear the chiral magnetic effect in and out of equilibrium, and we discuss further applications to real-time condensates.

[ { "created": "Thu, 12 Jul 2018 04:17:44 GMT", "version": "v1" } ]

2019-01-02

[ [ "Copinger", "Patrick", "" ], [ "Fukushima", "Kenji", "" ], [ "Pu", "Shi", "" ] ]

We elucidate chirality production under parity breaking constant electromagnetic fields, with which we clarify qualitative differences in and out of equilibrium. For a strong magnetic field the pair production from the Schwinger mechanism increments the chirality. The pair production rate is exponentially suppressed with mass according to the Schwinger formula, while the mass dependence of chirality production in the axial Ward identity appears in the pesudo-scalar term. We demonstrate that in equilibrium field theory calculus the axial anomaly is canceled by the pseudo-scalar condensate for any mass. In a real-time formulation with in- and out-states, we show that the axial Ward identity leads to the chirality production rate consistent with the Schwinger formula. We illuminate that such an in- and out-states formulation makes clear the chiral magnetic effect in and out of equilibrium, and we discuss further applications to real-time condensates.

13.401358

14.798932

13.908603

12.862708

15.891374

14.413483

15.458566

14.45605

14.473577

15.19656

13.529697

13.939413

13.623671

13.608977

14.418455

14.239869

14.224762

13.935287

13.447408

13.666734

13.49215

hep-th/9405083

Silvio Rabello

Silvio J. Rabello and Carlos Farina

On gauge invariance and the path integral

4 pages, Latex, IF-UFRJ-94

null

10.1103/PhysRevA.51.2614

null

hep-th cond-mat

null

Using a gauge covariant operator technique we deduce the path integral for a charged particle in a stationary magnetic field, verifying the "midpoint rule" for the discrete form of the interaction term with the vector potential.

[ { "created": "Thu, 12 May 1994 20:11:36 GMT", "version": "v1" } ]

2009-10-28

[ [ "Rabello", "Silvio J.", "" ], [ "Farina", "Carlos", "" ] ]

Using a gauge covariant operator technique we deduce the path integral for a charged particle in a stationary magnetic field, verifying the "midpoint rule" for the discrete form of the interaction term with the vector potential.

22.799673

20.769848

21.827751

16.220123

19.172829

19.191652

19.303946

19.235758

18.218012

18.77422

16.685644

18.110632

18.205151

16.301208

17.481777

17.174463

17.033077

17.124973

16.787897

18.420965

16.574955

hep-th/9612101

Burkhard Kleihaus

Burkhard Kleihaus and Jutta Kunz (Universit\"at Oldenburg)

Static Axially Symmetric Solutions of Einstein-Yang-Mills-Dilaton Theory

11 pages, including 2 postscript figures

Phys.Rev.Lett. 78 (1997) 2527-2530

10.1103/PhysRevLett.78.2527

null

hep-th gr-qc

null

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-dilaton theory. Like their spherically symmetric counterparts, these solutions are nonsingular and asymptotically flat. The solutions are characterized by the winding number n and the node number k of the gauge field functions. For fixed n with increasing k the solutions tend to ``extremal'' Einstein-Maxwell-dilaton black holes with n units of magnetic charge.

[ { "created": "Tue, 10 Dec 1996 13:10:24 GMT", "version": "v1" } ]

2016-09-06

[ [ "Kleihaus", "Burkhard", "", "Universität Oldenburg" ], [ "Kunz", "Jutta", "", "Universität Oldenburg" ] ]

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-dilaton theory. Like their spherically symmetric counterparts, these solutions are nonsingular and asymptotically flat. The solutions are characterized by the winding number n and the node number k of the gauge field functions. For fixed n with increasing k the solutions tend to ``extremal'' Einstein-Maxwell-dilaton black holes with n units of magnetic charge.

5.51932

4.882398

4.441485

4.222691

4.334197

3.967701

4.498568

4.289639

4.735536

4.675021

4.830092

5.041768

5.165681

5.11293

4.886152

5.037794

5.155365

4.936729

5.271518

5.2609

5.08954

hep-th/0408237

Hugo Reinhardt

H. Reinhardt and C. Feuchter

On the Yang-Mills wave functional in Coulomb gauge

9 pages, no figures

Phys.Rev. D71 (2005) 105002

10.1103/PhysRevD.71.105002

null

hep-th hep-ph

null

We investigate the dependence of the Yang-Mills wave functional in Coulomb gauge on the Faddeev-Popov determinant. We use a Gaussian wave functional multiplied by an arbitrary power of the Faddeev-Popov determinant. We show, that within the resummation of one-loop diagrams the stationary vacuum energy is independent of the power of the Faddeev-Popov determinant and, furthermore, the wave functional becomes field-independent in the infrared, describing a stochastic vacuum. Our investigations show, that the infrared limit is rather robust against details of the variational ans\"atze for the Yang-Mills wave functional. The infrared limit is exclusively determined by the divergence of the Faddeev-Popov determinant at the Gribov horizon.

[ { "created": "Tue, 31 Aug 2004 11:20:45 GMT", "version": "v1" } ]

2009-11-10

[ [ "Reinhardt", "H.", "" ], [ "Feuchter", "C.", "" ] ]

We investigate the dependence of the Yang-Mills wave functional in Coulomb gauge on the Faddeev-Popov determinant. We use a Gaussian wave functional multiplied by an arbitrary power of the Faddeev-Popov determinant. We show, that within the resummation of one-loop diagrams the stationary vacuum energy is independent of the power of the Faddeev-Popov determinant and, furthermore, the wave functional becomes field-independent in the infrared, describing a stochastic vacuum. Our investigations show, that the infrared limit is rather robust against details of the variational ans\"atze for the Yang-Mills wave functional. The infrared limit is exclusively determined by the divergence of the Faddeev-Popov determinant at the Gribov horizon.

6.213799

6.416849

5.958634

5.781501

5.887477

6.43678

5.932989

6.031226

6.139894

6.234947

5.509587

5.967622

5.779183

5.580965

5.86389

6.056333

5.760252

5.912712

5.653345

5.699703

5.793481

1806.08367

Eirik Eik Svanes

Anthony Ashmore and Xenia de la Ossa and Ruben Minasian and Charles Strickland-Constable and Eirik Eik Svanes

Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_\infty$ algebra

65 pages, including 5 appendices

JHEP 10 (2018) 179

10.1007/JHEP10(2018)179

null

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

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

We consider finite deformations of the Hull--Strominger system. Starting from the heterotic superpotential, we identify complex coordinates on the off-shell parameter space. Expanding the superpotential around a supersymmetric vacuum leads to a third-order Maurer--Cartan equation that controls the moduli. The resulting complex effective action generalises that of both Kodaira--Spencer and holomorphic Chern--Simons theory. The supersymmetric locus of this action is described by an $L_3$ algebra.

[ { "created": "Thu, 21 Jun 2018 18:00:15 GMT", "version": "v1" } ]

2022-02-04

[ [ "Ashmore", "Anthony", "" ], [ "de la Ossa", "Xenia", "" ], [ "Minasian", "Ruben", "" ], [ "Strickland-Constable", "Charles", "" ], [ "Svanes", "Eirik Eik", "" ] ]

We consider finite deformations of the Hull--Strominger system. Starting from the heterotic superpotential, we identify complex coordinates on the off-shell parameter space. Expanding the superpotential around a supersymmetric vacuum leads to a third-order Maurer--Cartan equation that controls the moduli. The resulting complex effective action generalises that of both Kodaira--Spencer and holomorphic Chern--Simons theory. The supersymmetric locus of this action is described by an $L_3$ algebra.

11.08884

10.037498

14.671748

10.049417

10.770684

11.397141

10.836329

10.585139

11.081718

14.022413

11.167486

10.924423

11.651852

10.104703

10.681485

11.002658

11.257573

11.023156

10.283064

11.580954

10.382943

2212.14027

Marco Fazzi

Marco Fazzi, Simone Giacomelli, Suvendu Giri

Hierarchies of RG flows in 6d $(1,0)$ massive E-strings

Part II of a series of papers; 37+11 pages; 13 figures

null

10.1007/JHEP03(2023)089

UUITP-60/22

hep-th

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

We extend the analysis of arXiv:2208.11703 to the 6d $(1,0)$ SCFTs known as massive E-string theories, which can be engineered in massive Type IIA with $8-n_0<8$ D8-branes close to an O8$^-$ (or O8$^*$ if $n_0=8,9$). For each choice of $n_0=1,\ldots,9$ the massive $E_{1+(8-n_0)}$-strings (including the more exotic $\tilde{E}_1$ and $E_0$) are classified by constrained $E_8$ Kac labels, i.e. a subset of $\text{Hom}(\mathbb{Z}_k,E_8)$, from which one can read off the flavor subalgebra of $E_{1+(8-n_0)}$ of each SCFT. We construct hierarchies for two types of Higgs branch RG flows: flows between massive theories defined by the same $n_0$ but different labels; flows between massive theories with different $n_0$. These latter flows are triggered by T-brane vev's for the right $\mathrm{SU}$ factor of the SCFT global symmetry, whose rank is a function of both $k$ and $n_0$, a situation which has so far remained vastly unexplored.

[ { "created": "Wed, 28 Dec 2022 18:54:31 GMT", "version": "v1" } ]

2023-03-16

[ [ "Fazzi", "Marco", "" ], [ "Giacomelli", "Simone", "" ], [ "Giri", "Suvendu", "" ] ]

We extend the analysis of arXiv:2208.11703 to the 6d $(1,0)$ SCFTs known as massive E-string theories, which can be engineered in massive Type IIA with $8-n_0<8$ D8-branes close to an O8$^-$ (or O8$^*$ if $n_0=8,9$). For each choice of $n_0=1,\ldots,9$ the massive $E_{1+(8-n_0)}$-strings (including the more exotic $\tilde{E}_1$ and $E_0$) are classified by constrained $E_8$ Kac labels, i.e. a subset of $\text{Hom}(\mathbb{Z}_k,E_8)$, from which one can read off the flavor subalgebra of $E_{1+(8-n_0)}$ of each SCFT. We construct hierarchies for two types of Higgs branch RG flows: flows between massive theories defined by the same $n_0$ but different labels; flows between massive theories with different $n_0$. These latter flows are triggered by T-brane vev's for the right $\mathrm{SU}$ factor of the SCFT global symmetry, whose rank is a function of both $k$ and $n_0$, a situation which has so far remained vastly unexplored.

8.281707

8.528136

9.378539

7.968524

8.859598

8.955344

8.662097

8.44752

8.044005

10.603492

7.880433

8.058069

8.597944

7.712033

8.011796

7.960482

7.955227

7.801057

7.8577

8.811222

7.697484

hep-th/9703060

null

Itzhak Bars and Costas Kounnas

Theories with Two Times

Latex, 14 pages

Phys.Lett. B402 (1997) 25-32

10.1016/S0370-2693(97)00452-8

CERN-TH/97-36, USC-97/HEP-B1, LPTENS-97/09

hep-th

null

General considerations on the unification of A-type and B-type supersymmetries in the context of interacting p-branes strongly suggest that the signature of spacetime includes two timelike dimensions. This leads to the puzzle of how ordinary physics with a single timelike dimension emerges. In this letter we suggest that the two timelike dimensions could be real, and belong to two physical sectors of a single theory each containing its own timelike dimension. Effectively there is a single time evolution parameter. We substantiate this idea by constructing certain actions for interacting p-branes with signature (n,2) that have gauge symmetries and constraints appropriate for a physical interpretation with no ghosts. In combination with related ideas and general constraints in S-theory, we are led to a cosmological scenario in which, after a phase transition, the extra timelike dimension becomes part of the compactified universe residing inside microscopic matter. The internal space, whose geometry is expected to determine the flavor quantum numbers of low energy matter, thus acquires a Minkowski signature. The formalism meshes naturally with a new supersymmetry in the context of field theory that we suggested in an earlier paper. The structure of this supersymmetry gives rise to a new Kaluza-Klein type mechanism for determining the quantum numbers of low energy families, thus suggesting that the extra timelike dimension would be taken into account in understanding the Standard Model of particle physics.

[ { "created": "Fri, 7 Mar 1997 10:48:22 GMT", "version": "v1" } ]

2009-10-30

[ [ "Bars", "Itzhak", "" ], [ "Kounnas", "Costas", "" ] ]

General considerations on the unification of A-type and B-type supersymmetries in the context of interacting p-branes strongly suggest that the signature of spacetime includes two timelike dimensions. This leads to the puzzle of how ordinary physics with a single timelike dimension emerges. In this letter we suggest that the two timelike dimensions could be real, and belong to two physical sectors of a single theory each containing its own timelike dimension. Effectively there is a single time evolution parameter. We substantiate this idea by constructing certain actions for interacting p-branes with signature (n,2) that have gauge symmetries and constraints appropriate for a physical interpretation with no ghosts. In combination with related ideas and general constraints in S-theory, we are led to a cosmological scenario in which, after a phase transition, the extra timelike dimension becomes part of the compactified universe residing inside microscopic matter. The internal space, whose geometry is expected to determine the flavor quantum numbers of low energy matter, thus acquires a Minkowski signature. The formalism meshes naturally with a new supersymmetry in the context of field theory that we suggested in an earlier paper. The structure of this supersymmetry gives rise to a new Kaluza-Klein type mechanism for determining the quantum numbers of low energy families, thus suggesting that the extra timelike dimension would be taken into account in understanding the Standard Model of particle physics.

12.390649

12.601957

12.89024

12.210537

12.926148

13.738175

12.827642

12.735484

12.052011

13.985892

11.951365

11.73033

11.887172

11.62796

11.821872

11.771563

11.807509

12.078393

11.804737

12.120727

11.403042

0808.2066

Fernando Ruiz

S. Marculescu, F. Ruiz Ruiz

Seiberg--Witten maps for $\boldsymbol{SO(1,3)}$ gauge invariance and deformations of gravity

1 encapsulated figure

Phys.Rev.D79:025004,2009

10.1103/PhysRevD.79.025004

null

hep-th

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

A family of diffeomorphism-invariant Seiberg--Witten deformations of gravity is constructed. In a first step Seiberg--Witten maps for an SO(1,3) gauge symmetry are obtained for constant deformation parameters. This includes maps for the vierbein, the spin connection and the Einstein--Hilbert Lagrangian. In a second step the vierbein postulate is imposed in normal coordinates and the deformation parameters are identified with the components $\theta^{\mu\nu}(x)$ of a covariantly constant bivector. This procedure gives for the classical action a power series in the bivector components which by construction is diffeomorphism-invariant. Explicit contributions up to second order are obtained. For completeness a cosmological constant term is included in the analysis. Covariant constancy of $ \theta^{\mu\nu}(x) $, together with the field equations, imply that, up to second order, only four-dimensional metrics which are direct sums of two two-dimensional metrics are admissible, the two-dimensional curvatures being expressed in terms of $\theta^{\mu\nu}$. These four-dimensional metrics can be viewed as a family of deformed emergent gravities.

[ { "created": "Thu, 14 Aug 2008 22:29:59 GMT", "version": "v1" }, { "created": "Thu, 9 Oct 2008 15:46:23 GMT", "version": "v2" }, { "created": "Fri, 12 Dec 2008 09:46:11 GMT", "version": "v3" } ]

2010-05-28

[ [ "Marculescu", "S.", "" ], [ "Ruiz", "F. Ruiz", "" ] ]

A family of diffeomorphism-invariant Seiberg--Witten deformations of gravity is constructed. In a first step Seiberg--Witten maps for an SO(1,3) gauge symmetry are obtained for constant deformation parameters. This includes maps for the vierbein, the spin connection and the Einstein--Hilbert Lagrangian. In a second step the vierbein postulate is imposed in normal coordinates and the deformation parameters are identified with the components $\theta^{\mu\nu}(x)$ of a covariantly constant bivector. This procedure gives for the classical action a power series in the bivector components which by construction is diffeomorphism-invariant. Explicit contributions up to second order are obtained. For completeness a cosmological constant term is included in the analysis. Covariant constancy of $ \theta^{\mu\nu}(x) $, together with the field equations, imply that, up to second order, only four-dimensional metrics which are direct sums of two two-dimensional metrics are admissible, the two-dimensional curvatures being expressed in terms of $\theta^{\mu\nu}$. These four-dimensional metrics can be viewed as a family of deformed emergent gravities.

7.087142

6.596641

6.844333

6.450096

6.717611

6.834533

6.64455

6.634605

6.674172

7.517077

6.688284

6.495719

6.900809

6.625783

6.647603

6.5304

6.357547

6.445963

6.627739

6.908134

6.467785

hep-th/9112069

Michael Newman

David J. Gross and Michael J. Newman

Unitary And Hermitian Matrices In An External Field II: The Kontsevich Model And Continuum Virasoro Constraints

17 pages

Nucl.Phys. B380 (1992) 168-180

10.1016/0550-3213(92)90520-L

null

hep-th

null

We give a simple derivation of the Virasoro constraints in the Kontsevich model, first derived by Witten. We generalize the method to a model of unitary matrices, for which we find a new set of Virasoro constraints. Finally we discuss the solution for symmetric matrices in an external field.

[ { "created": "Mon, 23 Dec 1991 19:02:37 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gross", "David J.", "" ], [ "Newman", "Michael J.", "" ] ]

We give a simple derivation of the Virasoro constraints in the Kontsevich model, first derived by Witten. We generalize the method to a model of unitary matrices, for which we find a new set of Virasoro constraints. Finally we discuss the solution for symmetric matrices in an external field.

9.00796

7.750506

8.334198

7.185004

6.992275

7.695714

6.813485

7.794911

7.424576

9.292395

7.260952

7.23045

8.803066

7.694756

7.579

7.19776

7.427444

7.61665

7.803824

8.704037

7.627517

1306.6701

Kenji Muneyuki

Kenji Muneyuki and Nobuyoshi Ohta

Renormalization of Higher Derivative Quantum Gravity Coupled to a Scalar with Shift Symmetry

11 pages. arXiv admin note: substantial text overlap with arXiv:1201.2058. v2: minor corrections. v3: minor corrections to match the published version

null

10.1016/j.physletb.2013.07.054

null

hep-th gr-qc

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

It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4 dimensions.

[ { "created": "Fri, 28 Jun 2013 02:55:40 GMT", "version": "v1" }, { "created": "Sat, 27 Jul 2013 00:36:34 GMT", "version": "v2" }, { "created": "Wed, 7 Aug 2013 05:22:25 GMT", "version": "v3" } ]

2015-06-16

[ [ "Muneyuki", "Kenji", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4 dimensions.

10.510084

7.964328

8.578122

7.417534

8.468069

8.208964

8.451589

7.691895

7.709783

9.368662

7.974024

8.04826

8.502129

7.741599

8.141641

8.251432

7.980928

7.876338

8.421803

8.239806

7.528267

0809.4728

Hyun Seok Yang

Emergent Spacetime and The Origin of Gravity

v3; 80 pages, Cosmetic revision for publication and references added, to appear in JHEP

JHEP 0905:012,2009

10.1088/1126-6708/2009/05/012

KIAS-P08059

hep-th gr-qc hep-ph math.SG

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

We present an exposition on the geometrization of the electromagnetic force. We show that, in noncommutative (NC) spacetime, there always exists a coordinate transformation to locally eliminate the electromagnetic force, which is precisely the Darboux theorem in symplectic geometry. As a consequence, the electromagnetism can be realized as a geometrical property of spacetime like gravity. We show that the geometrization of the electromagnetic force in NC spacetime is the origin of gravity, dubbed as the emergent gravity. We discuss how the emergent gravity reveals a novel, radically different picture about the origin of spacetime. In particular, the emergent gravity naturally explains the dynamical origin of flat spacetime, which is absent in Einstein gravity. This spacetime picture turns out to be crucial for a tenable solution of the cosmological constant problem.

[ { "created": "Mon, 29 Sep 2008 19:56:00 GMT", "version": "v1" }, { "created": "Thu, 8 Jan 2009 11:14:10 GMT", "version": "v2" }, { "created": "Thu, 30 Apr 2009 17:32:57 GMT", "version": "v3" } ]

2009-06-30

[ [ "Yang", "Hyun Seok", "" ] ]

We present an exposition on the geometrization of the electromagnetic force. We show that, in noncommutative (NC) spacetime, there always exists a coordinate transformation to locally eliminate the electromagnetic force, which is precisely the Darboux theorem in symplectic geometry. As a consequence, the electromagnetism can be realized as a geometrical property of spacetime like gravity. We show that the geometrization of the electromagnetic force in NC spacetime is the origin of gravity, dubbed as the emergent gravity. We discuss how the emergent gravity reveals a novel, radically different picture about the origin of spacetime. In particular, the emergent gravity naturally explains the dynamical origin of flat spacetime, which is absent in Einstein gravity. This spacetime picture turns out to be crucial for a tenable solution of the cosmological constant problem.

7.454621

6.907341

7.44558

7.12322

6.955502

6.936274

7.165709

6.910098

6.843336

8.159702

7.239265

7.164074

7.180762

7.180735

7.010716

7.076491

7.197216

7.090249

7.021338

7.188853

7.04184

2402.03446

Michele Fossati

Michele Fossati, Filiberto Ares, Jerome Dubail, Pasquale Calabrese

Entanglement asymmetry in CFT and its relation to non-topological defects

37 pages, 7 figures

JHEP 2024, 59 (2024)

10.1007/JHEP05(2024)059

null

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

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

The entanglement asymmetry is an information based observable that quantifies the degree of symmetry breaking in a region of an extended quantum system. We investigate this measure in the ground state of one dimensional critical systems described by a CFT. Employing the correspondence between global symmetries and defects, the analysis of the entanglement asymmetry can be formulated in terms of partition functions on Riemann surfaces with multiple non-topological defect lines inserted at their branch cuts. For large subsystems, these partition functions are determined by the scaling dimension of the defects. This leads to our first main observation: at criticality, the entanglement asymmetry acquires a subleading contribution scaling as $\log \ell / \ell$ for large subsystem length $\ell$. Then, as an illustrative example, we consider the XY spin chain, which has a critical line described by the massless Majorana fermion theory and explicitly breaks the $U(1)$ symmetry associated with rotations about the $z$-axis. In this situation the corresponding defect is marginal. Leveraging conformal invariance, we relate the scaling dimension of these defects to the ground state energy of the massless Majorana fermion on a circle with equally-spaced point defects. We exploit this mapping to derive our second main result: the exact expression for the scaling dimension associated with $n$ of defects of arbitrary strengths. Our result generalizes a known formula for the $n=1$ case derived in several previous works. We then use this exact scaling dimension to derive our third main result: the exact prefactor of the $\log \ell/\ell$ term in the asymmetry of the critical XY chain.

[ { "created": "Mon, 5 Feb 2024 19:01:09 GMT", "version": "v1" } ]

2024-05-14

[ [ "Fossati", "Michele", "" ], [ "Ares", "Filiberto", "" ], [ "Dubail", "Jerome", "" ], [ "Calabrese", "Pasquale", "" ] ]

The entanglement asymmetry is an information based observable that quantifies the degree of symmetry breaking in a region of an extended quantum system. We investigate this measure in the ground state of one dimensional critical systems described by a CFT. Employing the correspondence between global symmetries and defects, the analysis of the entanglement asymmetry can be formulated in terms of partition functions on Riemann surfaces with multiple non-topological defect lines inserted at their branch cuts. For large subsystems, these partition functions are determined by the scaling dimension of the defects. This leads to our first main observation: at criticality, the entanglement asymmetry acquires a subleading contribution scaling as $\log \ell / \ell$ for large subsystem length $\ell$. Then, as an illustrative example, we consider the XY spin chain, which has a critical line described by the massless Majorana fermion theory and explicitly breaks the $U(1)$ symmetry associated with rotations about the $z$-axis. In this situation the corresponding defect is marginal. Leveraging conformal invariance, we relate the scaling dimension of these defects to the ground state energy of the massless Majorana fermion on a circle with equally-spaced point defects. We exploit this mapping to derive our second main result: the exact expression for the scaling dimension associated with $n$ of defects of arbitrary strengths. Our result generalizes a known formula for the $n=1$ case derived in several previous works. We then use this exact scaling dimension to derive our third main result: the exact prefactor of the $\log \ell/\ell$ term in the asymmetry of the critical XY chain.

7.282531

7.986946

8.357422

7.8533

8.076631

8.453811

7.911459

7.823108

7.982

9.022237

7.646302

7.279743

7.894927

7.454376

7.263743

7.346542

7.359181

7.483438

7.440785

7.945522

7.250068

2108.00732

Yunqin Zheng

Yasunori Lee, Yunqin Zheng

Comments on compatibility between Conformal symmetry and Continuous higher-form symmetries

14 pages, 5 tables

Phys. Rev. D 104, 085005 (2021)

10.1103/PhysRevD.104.085005

null

hep-th cond-mat.str-el

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

We study the compatibility between the conformal symmetry together with the unitarity and the continuous higher-form symmetries. We show that the d-dimensional unitary conformal field theories are not consistent with continuous p-form symmetries for certain (d,p), assuming that the corresponding conserved current is a conformal primary operator. We further discuss several dynamical applications of this constraint.

[ { "created": "Mon, 2 Aug 2021 09:00:18 GMT", "version": "v1" } ]

2021-10-13

[ [ "Lee", "Yasunori", "" ], [ "Zheng", "Yunqin", "" ] ]

We study the compatibility between the conformal symmetry together with the unitarity and the continuous higher-form symmetries. We show that the d-dimensional unitary conformal field theories are not consistent with continuous p-form symmetries for certain (d,p), assuming that the corresponding conserved current is a conformal primary operator. We further discuss several dynamical applications of this constraint.

10.092212

10.643554

12.466162

9.871797

11.05906

9.277957

9.167518

10.371122

9.395074

11.185603

9.682217

10.139877

9.99321

9.387723

9.60146

9.829012

9.615541

9.362989

9.502938

10.139367

9.563513

1904.11507

Matthias Kaminski

Casey Cartwright and Matthias Kaminski

Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field

v2: published version, minor changes, clarified relation to anisotropies in heavy ion collisions, added references; v1: 25 figures, 14 tables, 57 pages, comments welcome

null

10.1007/JHEP09(2019)072

null

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

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

Within a holographic model, we calculate the time evolution of 2-point and 1-point correlation functions (of selected operators) within a charged strongly coupled system of many particles. That system is thermalizing from an anisotropic initial charged state far from equilibrium towards equilibrium while subjected to a constant external magnetic field. One main result is that thermalization times for 2-point functions are significantly (approximately three times) larger than those of 1-point functions. Magnetic field and charge amplify this difference, generally increasing thermalization times. However, there is also a competition of scales between charge density, magnetic field, and initial anisotropy, which leads to an array of qualitative changes on the 2- and 1-point functions. There appears to be a strong effect of the medium on 2-point functions at early times, but approximately none at later times. At strong magnetic fields, an apparently universal thermalization time emerges, at which all 2-point functions appear to thermalize regardless of any other scale in the system. Hence, this time scale is referred to as saturation time scale. As extremality is approached in the purely charged case, 2- and 1-point functions appear to equilibrate at infinitely late time. We also compute 2-point functions of charged operators. Our results can be taken to model thermalization in heavy ion collisions, or thermalization in selected condensed matter systems.

[ { "created": "Thu, 25 Apr 2019 18:00:02 GMT", "version": "v1" }, { "created": "Wed, 25 Sep 2019 17:11:08 GMT", "version": "v2" } ]

2019-10-02

[ [ "Cartwright", "Casey", "" ], [ "Kaminski", "Matthias", "" ] ]

Within a holographic model, we calculate the time evolution of 2-point and 1-point correlation functions (of selected operators) within a charged strongly coupled system of many particles. That system is thermalizing from an anisotropic initial charged state far from equilibrium towards equilibrium while subjected to a constant external magnetic field. One main result is that thermalization times for 2-point functions are significantly (approximately three times) larger than those of 1-point functions. Magnetic field and charge amplify this difference, generally increasing thermalization times. However, there is also a competition of scales between charge density, magnetic field, and initial anisotropy, which leads to an array of qualitative changes on the 2- and 1-point functions. There appears to be a strong effect of the medium on 2-point functions at early times, but approximately none at later times. At strong magnetic fields, an apparently universal thermalization time emerges, at which all 2-point functions appear to thermalize regardless of any other scale in the system. Hence, this time scale is referred to as saturation time scale. As extremality is approached in the purely charged case, 2- and 1-point functions appear to equilibrate at infinitely late time. We also compute 2-point functions of charged operators. Our results can be taken to model thermalization in heavy ion collisions, or thermalization in selected condensed matter systems.

10.373148

10.750978

10.883541

10.167557

10.6996

10.819864

10.570875

10.887802

9.938507

11.387855

10.206897

9.884798

10.108018

10.077614

10.180724

10.301679

10.132294

10.05553

10.163994

10.154359

10.060627

1008.2156

Paul S. Aspinwall

Paul S. Aspinwall, Ilarion V. Melnikov and M. Ronen Plesser

(0,2) Elephants

51 pages, oversimplification in spectral sequence fixed

null

10.1007/JHEP01(2012)060

null

hep-th

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

We enumerate massless E6 singlets for (0,2)-compactifications of the heterotic string on a Calabi-Yau threefold with the "standard embedding" in three distinct ways. In the large radius limit of the threefold, these singlets count deformations of the Calabi-Yau together with its tangent bundle. In the "small-radius" limit we apply Landau-Ginzburg methods. In the orbifold limit we use a combination of geometry and free field methods. In general these counts differ. We show how to identify states between these phases and how certain states vanish from the massless spectrum as one deforms the complex structure or Kaehler form away from the Gepner point. The appearance of extra singlets for particular values of complex structure is explored in all three pictures, and our results suggest that this does not depend on the Kaehler moduli.

[ { "created": "Thu, 12 Aug 2010 16:04:43 GMT", "version": "v1" }, { "created": "Tue, 7 Dec 2010 16:31:32 GMT", "version": "v2" } ]

2015-05-19

[ [ "Aspinwall", "Paul S.", "" ], [ "Melnikov", "Ilarion V.", "" ], [ "Plesser", "M. Ronen", "" ] ]

We enumerate massless E6 singlets for (0,2)-compactifications of the heterotic string on a Calabi-Yau threefold with the "standard embedding" in three distinct ways. In the large radius limit of the threefold, these singlets count deformations of the Calabi-Yau together with its tangent bundle. In the "small-radius" limit we apply Landau-Ginzburg methods. In the orbifold limit we use a combination of geometry and free field methods. In general these counts differ. We show how to identify states between these phases and how certain states vanish from the massless spectrum as one deforms the complex structure or Kaehler form away from the Gepner point. The appearance of extra singlets for particular values of complex structure is explored in all three pictures, and our results suggest that this does not depend on the Kaehler moduli.

10.291649

9.422518

11.521976

10.02441

10.669429

10.841665

10.152535

9.773067

9.526282

12.510773

9.366609

9.901148

10.861706

9.91155

9.636333

9.84439

9.744085

10.051423

9.950148

10.507998

9.434205

hep-th/0412336

Peter West

Brane dynamics, central charges and E_{11}

19 pages, plain tex

JHEP0503:077,2005

10.1088/1126-6708/2005/03/077

KCL-MTH-04-18

hep-th

null

We consider a theory in which supersymmetry is partially spontaneously broken and show that the dynamical fields in the same supersymmetric multiplet as the Goldstino are Goldstone bosons whose corresponding generators are central charges in the underlying supersymmetry algebra. We illustrate how this works for four dimensional Born-Infeld theory and five brane of M theory. We conjecture, with supporting arguments, that the dynamics of the branes of M theory can be extended so as to possess an E_{11} symmetry.

[ { "created": "Fri, 31 Dec 2004 18:53:49 GMT", "version": "v1" } ]

2009-11-10

[ [ "West", "Peter", "" ] ]

We consider a theory in which supersymmetry is partially spontaneously broken and show that the dynamical fields in the same supersymmetric multiplet as the Goldstino are Goldstone bosons whose corresponding generators are central charges in the underlying supersymmetry algebra. We illustrate how this works for four dimensional Born-Infeld theory and five brane of M theory. We conjecture, with supporting arguments, that the dynamics of the branes of M theory can be extended so as to possess an E_{11} symmetry.

12.118917

9.415531

12.084574

9.685793

10.214935

10.190467

10.18571

9.694195

9.571786

12.247012

9.669975

10.75964

11.49245

10.478938

10.617277

10.641973

10.911906

10.662031

10.868185

11.858112

10.279194

hep-th/0307168

Shahn Majid

G.A. Goldin and S. Majid

On the Fock space for nonrelativistic anyon fields and braided tensor products

Added some references, more explicit formulae for the discrete case and remark on partition function. 25 pages latex, no figures

J.Math.Phys.45:3770-3787,2004

10.1063/1.1787620

null

hep-th math.QA

null

We realize the physical N-anyon Hilbert spaces, introduced previously via unitary representations of the group of diffeomorphisms of the plane, as N-fold braided-symmetric tensor products of the 1-particle Hilbert space. This perspective provides a convenient Fock space construction for nonrelativistic anyon quantum fields along the more usual lines of boson and fermion fields, but in a braided category. We see how essential physical information is thus encoded. In particular we show how the algebraic structure of our anyonic Fock space leads to a natural anyonic exclusion principle related to intermediate occupation number statistics, and obtain the partition function for an idealised gas of fixed anyonic vortices.

[ { "created": "Thu, 17 Jul 2003 22:58:45 GMT", "version": "v1" }, { "created": "Mon, 27 Oct 2003 19:20:48 GMT", "version": "v2" } ]

2011-08-17

[ [ "Goldin", "G. A.", "" ], [ "Majid", "S.", "" ] ]

We realize the physical N-anyon Hilbert spaces, introduced previously via unitary representations of the group of diffeomorphisms of the plane, as N-fold braided-symmetric tensor products of the 1-particle Hilbert space. This perspective provides a convenient Fock space construction for nonrelativistic anyon quantum fields along the more usual lines of boson and fermion fields, but in a braided category. We see how essential physical information is thus encoded. In particular we show how the algebraic structure of our anyonic Fock space leads to a natural anyonic exclusion principle related to intermediate occupation number statistics, and obtain the partition function for an idealised gas of fixed anyonic vortices.

15.187433

18.423605

17.485121

16.24831

17.51054

18.69146

19.091341

16.613621

16.204695

19.074455

15.031828

16.107914

15.592759

15.680521

15.565061

15.931167

15.611567

15.156791

15.669788

16.3885

15.409603

hep-th/0305233

Wang-Chang Su

Class of Exact Solutions of the SU(3) Skyrme Model

15 pages, no figure

Phys.Lett. B568 (2003) 167-175

10.1016/j.physletb.2003.06.024

null

hep-th

null

Recently, Hirayama and Yamashita have presented an ansatz that allows us to construct a class of solutions for the SU(2) Skyrme model. Though these solutions are not solitonic, they provide us with an example on how the plane wave solutions arise in nonlinear field theories. In this paper, we investigate the applicability of the ansatz for the SU(3) Skyrme model. We explicitly construct a class of solutions for the SU(3) model, which in the simplest circumstance is reduced to a combination of the plane waves and Weierstrass elliptic functions. We also discuss some properties of these solutions. For example, the intrinsic structure of these solutions is found to describe an asymmetrical top rotating in the complex three-dimensional space.

[ { "created": "Tue, 27 May 2003 06:15:40 GMT", "version": "v1" } ]

2009-11-10

[ [ "Su", "Wang-Chang", "" ] ]

Recently, Hirayama and Yamashita have presented an ansatz that allows us to construct a class of solutions for the SU(2) Skyrme model. Though these solutions are not solitonic, they provide us with an example on how the plane wave solutions arise in nonlinear field theories. In this paper, we investigate the applicability of the ansatz for the SU(3) Skyrme model. We explicitly construct a class of solutions for the SU(3) model, which in the simplest circumstance is reduced to a combination of the plane waves and Weierstrass elliptic functions. We also discuss some properties of these solutions. For example, the intrinsic structure of these solutions is found to describe an asymmetrical top rotating in the complex three-dimensional space.

7.705817

7.56151

7.948519

6.918046

7.952053

7.608122

7.576694

7.195696

7.251573

7.70432

7.309681

7.649597

7.567553

7.37164

7.770229

7.883281

7.3666

7.665313

7.391673

7.714468

7.440411

2403.13232

Jarah Evslin

Jarah Evslin and Kehinde Ogundipe

Perturbative Approach to Time-Dependent Quantum Solitons

30 pages, no figures

null

hep-th

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

Recently we have introduced a lightweight, perturbative approach to quantum solitons. Thus far, our approach has been largely limited to configurations consisting of a single soliton plus a finite number of mesons, whose classical limit is an isolated stationary or rigidly moving soliton. In this paper, with an eye to soliton collisions and oscillons, we generalize this approach to quantum states whose classical limits are genuinely time-dependent. More precisely, we use a unitary operator, inspired by the coherent state approach to solitons, to factor out the nonperturbative part of the state, which includes the classical motion. The solution for the quantum state and its evolution is then reduced to an entirely perturbative problem.

[ { "created": "Wed, 20 Mar 2024 01:43:40 GMT", "version": "v1" } ]

2024-03-21

[ [ "Evslin", "Jarah", "" ], [ "Ogundipe", "Kehinde", "" ] ]

Recently we have introduced a lightweight, perturbative approach to quantum solitons. Thus far, our approach has been largely limited to configurations consisting of a single soliton plus a finite number of mesons, whose classical limit is an isolated stationary or rigidly moving soliton. In this paper, with an eye to soliton collisions and oscillons, we generalize this approach to quantum states whose classical limits are genuinely time-dependent. More precisely, we use a unitary operator, inspired by the coherent state approach to solitons, to factor out the nonperturbative part of the state, which includes the classical motion. The solution for the quantum state and its evolution is then reduced to an entirely perturbative problem.

11.217224

11.123264

11.507275

10.751644

10.737033

10.645351

10.508098

10.711369

10.949517

12.245769

10.117255

10.989022

11.224273

10.58528

10.632831

10.846997

10.697493

10.642843

10.897757

11.470394

10.638769

hep-th/9701180

Manuel Calixto Molina

M. Calixto, V. Aldaya and M. Navarro

Quantum Field Theory in a Symmetric Curved Space from a Second Quantization on a Group

31 pages, LaTeX, no figures; substantial improvement, new material added; to appear in Int. J. Mod. Phys. A

Int.J.Mod.Phys.A15:4011-4044,2000

10.1142/S0217751X00001233

SWAT/247

hep-th

null

In this article we propose a `second quantization' scheme especially suitable to deal with non-trivial, highly symmetric phase spaces, implemented within a more general Group Approach to Quantization, which recovers the standard Quantum Field Theory (QFT) for ordinary relativistic linear fields. We emphasize, among its main virtues, greater suitability in characterizing vacuum states in a QFT on a highly symmetric curved space-time and the absence of the usual requirement of global hyperbolicity. This can be achieved in the special case of the Anti-de Sitter universe, on which we explicitly construct a QFT.

[ { "created": "Thu, 30 Jan 1997 11:27:45 GMT", "version": "v1" }, { "created": "Mon, 13 Mar 2000 11:52:42 GMT", "version": "v2" } ]

2016-12-28

[ [ "Calixto", "M.", "" ], [ "Aldaya", "V.", "" ], [ "Navarro", "M.", "" ] ]

In this article we propose a `second quantization' scheme especially suitable to deal with non-trivial, highly symmetric phase spaces, implemented within a more general Group Approach to Quantization, which recovers the standard Quantum Field Theory (QFT) for ordinary relativistic linear fields. We emphasize, among its main virtues, greater suitability in characterizing vacuum states in a QFT on a highly symmetric curved space-time and the absence of the usual requirement of global hyperbolicity. This can be achieved in the special case of the Anti-de Sitter universe, on which we explicitly construct a QFT.

18.164148

18.366541

17.139025

16.730789

15.75893

17.746056

17.939125

17.050634

16.713228

17.420126

16.72121

16.059809

16.087328

15.776577

15.994699

16.1437

16.08737

16.233023

16.443054

15.279546

16.027857

2211.17253

Alejandro Vilar Lopez

Ben Craps, Marine De Clerck, Alejandro Vilar L\'opez

Definitions of entwinement

30 pages + 1 appendix, 1 figure

null

10.1007/JHEP03(2023)079

null

hep-th quant-ph

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

Entwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS$_3$ spaces. It was heuristically meant to capture the entanglement of internal, gauged degrees of freedom, for instance in the symmetric product orbifold CFT of the D1/D5 brane system. The literature now contains different, and sometimes inequivalent, field theory definitions of entwinement. In this paper, we build a discretized lattice model of symmetric product orbifold CFTs, and explicitly construct a gauge-invariant reduced density matrix whose von Neumann entropy agrees with the holographic computation of entwinement. Refining earlier notions, our construction gives meaning to the entwinement of an interval of given size within a long string of specific length. We discuss similarities and differences with previous definitions of entwinement.

[ { "created": "Wed, 30 Nov 2022 18:51:25 GMT", "version": "v1" } ]

2023-03-29

[ [ "Craps", "Ben", "" ], [ "De Clerck", "Marine", "" ], [ "López", "Alejandro Vilar", "" ] ]

Entwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS$_3$ spaces. It was heuristically meant to capture the entanglement of internal, gauged degrees of freedom, for instance in the symmetric product orbifold CFT of the D1/D5 brane system. The literature now contains different, and sometimes inequivalent, field theory definitions of entwinement. In this paper, we build a discretized lattice model of symmetric product orbifold CFTs, and explicitly construct a gauge-invariant reduced density matrix whose von Neumann entropy agrees with the holographic computation of entwinement. Refining earlier notions, our construction gives meaning to the entwinement of an interval of given size within a long string of specific length. We discuss similarities and differences with previous definitions of entwinement.

10.359052

10.211411

11.058512

9.021796

10.223458

9.90566

9.124695

9.522045

9.526823

11.462393

9.079096

9.482349

9.60519

9.212523

9.265187

9.216269

9.335267

9.497908

9.232235

9.652704

9.032983

hep-th/0402086

Sami Mohammad

M. Sami, V. Sahni

Quintessential Inflation on the Brane and the Relic Gravity Wave Background

9 pages, 5 eps figures. Discussion and one eps figure summarizing the GB correction to steep brane world inflation added, typos corrected and references added; final version to appear in PRD

Phys.Rev. D70 (2004) 083513

10.1103/PhysRevD.70.083513

null

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

null

Quintessential inflation describes a scenario in which both inflation and dark energy (quintessence) are described by the same scalar field. In conventional braneworld models of quintessential inflation gravitational particle production is used to reheat the universe. This reheating mechanism is very inefficient and results in an excessive production of gravity waves which violate nucleosynthesis constraints and invalidate the model. We describe a new method of realizing quintessential inflation on the brane in which inflation is followed by `instant preheating' (Felder, Kofman & Linde 1999). The larger reheating temperature in this model results in a smaller amplitude of relic gravity waves which is consistent with nucleosynthesis bounds. The relic gravity wave background has a `blue' spectrum at high frequencies and is a generic byproduct of successful quintessential inflation on the brane.

[ { "created": "Wed, 11 Feb 2004 07:59:02 GMT", "version": "v1" }, { "created": "Fri, 20 Feb 2004 06:35:20 GMT", "version": "v2" }, { "created": "Sat, 11 Sep 2004 04:50:37 GMT", "version": "v3" } ]

2009-11-10

[ [ "Sami", "M.", "" ], [ "Sahni", "V.", "" ] ]

Quintessential inflation describes a scenario in which both inflation and dark energy (quintessence) are described by the same scalar field. In conventional braneworld models of quintessential inflation gravitational particle production is used to reheat the universe. This reheating mechanism is very inefficient and results in an excessive production of gravity waves which violate nucleosynthesis constraints and invalidate the model. We describe a new method of realizing quintessential inflation on the brane in which inflation is followed by `instant preheating' (Felder, Kofman & Linde 1999). The larger reheating temperature in this model results in a smaller amplitude of relic gravity waves which is consistent with nucleosynthesis bounds. The relic gravity wave background has a `blue' spectrum at high frequencies and is a generic byproduct of successful quintessential inflation on the brane.

7.213616

6.33871

6.291152

5.863877

6.319655

6.498905

6.8698

5.819373

5.900358

6.215587

6.217732

6.294285

6.099121

5.982843

6.158257

6.174982

6.110568

5.99556

5.984246

6.229653

6.341235

1405.3157

Gabor Takacs

M. Lencses and G. Takacs

Excited state TBA and renormalized TCSA in the scaling Potts model

39 pages, 5 eps figures. v2: reference added. v3: several misprints corrected, and an important step in the derivation of counter terms (in section 3.4.1) is explained in more detail

JHEP 09 (2014) 052

10.1007/JHEP09(2014)052

null

hep-th cond-mat.stat-mech

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

We consider the field theory describing the scaling limit of the Potts quantum spin chain using a combination of two approaches. The first is the renormalized truncated conformal space approach (TCSA), while the second one is a new thermodynamic Bethe Ansatz (TBA) system for the excited state spectrum in finite volume. For the TCSA we investigate and clarify several aspects of the renormalization procedure and counter term construction. The TBA system is first verified by comparing its ultraviolet limit to conformal field theory and the infrared limit to exact S-matrix predictions. We then show that the TBA and the renormalized TCSA match each other to a very high precision for a large range of the volume parameter, providing both a further verification of the TBA system and a demonstration of the efficiency of the TCSA renormalization procedure. We also discuss the lessons learned from our results concerning recent developments regarding the low-energy scattering of quasi-particles in the quantum Potts spin chain.

[ { "created": "Tue, 13 May 2014 14:07:11 GMT", "version": "v1" }, { "created": "Wed, 21 May 2014 11:35:38 GMT", "version": "v2" }, { "created": "Tue, 29 Jul 2014 12:41:38 GMT", "version": "v3" } ]

2014-09-11

[ [ "Lencses", "M.", "" ], [ "Takacs", "G.", "" ] ]

We consider the field theory describing the scaling limit of the Potts quantum spin chain using a combination of two approaches. The first is the renormalized truncated conformal space approach (TCSA), while the second one is a new thermodynamic Bethe Ansatz (TBA) system for the excited state spectrum in finite volume. For the TCSA we investigate and clarify several aspects of the renormalization procedure and counter term construction. The TBA system is first verified by comparing its ultraviolet limit to conformal field theory and the infrared limit to exact S-matrix predictions. We then show that the TBA and the renormalized TCSA match each other to a very high precision for a large range of the volume parameter, providing both a further verification of the TBA system and a demonstration of the efficiency of the TCSA renormalization procedure. We also discuss the lessons learned from our results concerning recent developments regarding the low-energy scattering of quasi-particles in the quantum Potts spin chain.

6.964999

7.651129

8.16805

7.072809

7.487999

7.45248

7.481099

7.021069

6.808852

8.515884

6.976253

6.954954

7.175212

6.868768

6.972408

7.101879

7.14837

7.009854

6.867768

7.244418

6.866794

1311.1853

Tuna Yildirim Ph.D.

Tuna Yildirim

Topologically Massive Yang-Mills Theory and Link Invariants

18 pages, 1 figure, Final version accepted for publication in IJMPA

Int.J.Mod.Phys.A, 30,1550034 (2015)

10.1142/S0217751X15500347

null

hep-th math-ph math.MP

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

Topologically massive Yang-Mills theory is studied in the framework of geometric quantization. Since this theory has a mass gap proportional to the topological mass m, Yang-Mills contribution decays exponentially at very large distances compared to 1/m, leaving a pure Chern-Simons theory with level number k. In this paper, the near Chern-Simons limit is studied where the distance is large enough to give an almost topological theory, with a small contribution from the Yang-Mills term. It is shown that this almost topological theory consists of two copies of Chern-Simons with level number k/2, very similar to the Chern-Simons splitting of topologically massive AdS gravity. Also, gauge invariance of these half-Chern-Simons theories is discussed. As m approaches to infinity, the split parts add up to give the original Chern-Simons term with level k. Reduction of the phase space is discussed in this limit. Finally, a relation between the observables of topologically massive Yang-Mills theory and Chern-Simons theory is shown. One of the two split Chern-Simons pieces is shown to be associated with Wilson loops while the other with 't Hooft loops. This allows one to use skein relations to calculate topologically massive Yang-Mills theory observables in the near Chern-Simons limit.

[ { "created": "Fri, 8 Nov 2013 00:17:20 GMT", "version": "v1" }, { "created": "Thu, 21 Nov 2013 10:30:41 GMT", "version": "v2" }, { "created": "Thu, 5 Jun 2014 07:50:35 GMT", "version": "v3" }, { "created": "Sun, 15 Feb 2015 02:56:33 GMT", "version": "v4" } ]

2015-02-17

[ [ "Yildirim", "Tuna", "" ] ]

Topologically massive Yang-Mills theory is studied in the framework of geometric quantization. Since this theory has a mass gap proportional to the topological mass m, Yang-Mills contribution decays exponentially at very large distances compared to 1/m, leaving a pure Chern-Simons theory with level number k. In this paper, the near Chern-Simons limit is studied where the distance is large enough to give an almost topological theory, with a small contribution from the Yang-Mills term. It is shown that this almost topological theory consists of two copies of Chern-Simons with level number k/2, very similar to the Chern-Simons splitting of topologically massive AdS gravity. Also, gauge invariance of these half-Chern-Simons theories is discussed. As m approaches to infinity, the split parts add up to give the original Chern-Simons term with level k. Reduction of the phase space is discussed in this limit. Finally, a relation between the observables of topologically massive Yang-Mills theory and Chern-Simons theory is shown. One of the two split Chern-Simons pieces is shown to be associated with Wilson loops while the other with 't Hooft loops. This allows one to use skein relations to calculate topologically massive Yang-Mills theory observables in the near Chern-Simons limit.

6.744802

5.288141

6.933549

5.76928

5.04043

4.967695

4.839108

5.344575

5.434105

7.363852

5.873565

6.147337

6.404823

6.220552

5.814344

5.926417

5.926626

5.983752

6.377035

6.454572

6.04636

2212.14062

Matthieu Vilatte

Nehal Mittal, P. Marios Petropoulos, David Rivera-Betancour and Matthieu Vilatte

Ehlers, Carroll, Charges and Dual Charges

V1: Latex 1+46 pages, V2: JHEP version, ammended by a footnote (nb 44) in Appendix B

JHEP07 (2023) 065

10.1007/JHEP07(2023)065

CPHT-RR047.072022

hep-th gr-qc

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

We unravel the boundary manifestation of Ehlers' hidden M\"obius symmetry present in four-dimensional Ricci-flat spacetimes that enjoy a time-like isometry and are Petrov-algebraic. This is achieved in a designated gauge, shaped in the spirit of flat holography, where the Carrollian three-dimensional nature of the null conformal boundary is manifest and covariantly implemented. The action of the M\"obius group is local on the space of Carrollian boundary data, among which the Carrollian Cotton tensor plays a predominent role. The Carrollian and Weyl geometric tools introduced for shaping an appropriate gauge, as well as the boundary conformal group, which is $\text{BMS}_4$, allow to define electric/magnetic, leading/subleading towers of charges directly from the boundary Carrollian dynamics and explore their behaviour under the action of the M\"obius duality group.

[ { "created": "Wed, 28 Dec 2022 19:01:33 GMT", "version": "v1" }, { "created": "Sun, 9 Jul 2023 20:38:42 GMT", "version": "v2" } ]

2023-07-11

[ [ "Mittal", "Nehal", "" ], [ "Petropoulos", "P. Marios", "" ], [ "Rivera-Betancour", "David", "" ], [ "Vilatte", "Matthieu", "" ] ]

We unravel the boundary manifestation of Ehlers' hidden M\"obius symmetry present in four-dimensional Ricci-flat spacetimes that enjoy a time-like isometry and are Petrov-algebraic. This is achieved in a designated gauge, shaped in the spirit of flat holography, where the Carrollian three-dimensional nature of the null conformal boundary is manifest and covariantly implemented. The action of the M\"obius group is local on the space of Carrollian boundary data, among which the Carrollian Cotton tensor plays a predominent role. The Carrollian and Weyl geometric tools introduced for shaping an appropriate gauge, as well as the boundary conformal group, which is $\text{BMS}_4$, allow to define electric/magnetic, leading/subleading towers of charges directly from the boundary Carrollian dynamics and explore their behaviour under the action of the M\"obius duality group.

19.214663

17.159861

19.152109

16.806486

19.684931

17.337111

18.329773

17.301186

16.555405

20.967262

16.710356

16.89922

18.377851

16.645191

16.564047

17.052719

16.83692

16.917067

17.134941

18.930717

16.355434

hep-th/0309263

Dipankar Chakrabarti

Dipankar Chakrabarti, A. Harindranath, Lubomir Martinovic and J. P. Vary

Kinks in Discrete Light Cone Quantization

10 pages, 3 figures

Phys.Lett. B582 (2004) 196-202

10.1016/j.physletb.2003.12.049

null

hep-th

null

We investigate non-trivial topological structures in Discrete Light Cone Quantization (DLCQ) through the example of the broken symmetry phase of the two dimensional $\phi^4$ theory using anti periodic boundary condition (APBC). We present evidence for degenerate ground states which is both a signature of spontaneous symmetry breaking and mandatory for the existence of kinks. Guided by a constrained variational calculation with a coherent state ansatz, we then extract the vacuum energy and kink mass and compare with classical and semi - classical results. We compare the DLCQ results for the number density of bosons in the kink state and the Fourier transform of the form factor of the kink with corresponding observables in the coherent variational kink state.

[ { "created": "Tue, 30 Sep 2003 05:45:02 GMT", "version": "v1" } ]

2009-11-10

[ [ "Chakrabarti", "Dipankar", "" ], [ "Harindranath", "A.", "" ], [ "Martinovic", "Lubomir", "" ], [ "Vary", "J. P.", "" ] ]

We investigate non-trivial topological structures in Discrete Light Cone Quantization (DLCQ) through the example of the broken symmetry phase of the two dimensional $\phi^4$ theory using anti periodic boundary condition (APBC). We present evidence for degenerate ground states which is both a signature of spontaneous symmetry breaking and mandatory for the existence of kinks. Guided by a constrained variational calculation with a coherent state ansatz, we then extract the vacuum energy and kink mass and compare with classical and semi - classical results. We compare the DLCQ results for the number density of bosons in the kink state and the Fourier transform of the form factor of the kink with corresponding observables in the coherent variational kink state.

11.528573

10.469653

11.294466

10.287654

11.280392

10.780537

11.259968

10.604865

10.234365

11.908404

10.73605

11.086553

10.768899

10.962434

11.125622

11.0043

10.866488

11.394597

10.774405

10.885957

11.017316

hep-th/0505226

Jorge Russo

J. Lopez Carballo and J.G. Russo

New Bubble Decays In Kaluza-Klein Theories

15 pages

JHEP 0508 (2005) 053

10.1088/1126-6708/2005/08/053

UB-ECM-PF-05/13

hep-th

null

We describe new bubble decays in pure D+1 dimensional Einstein theory with two compact directions. The instanton solution is constructed by analytic continuation of the Kaluza-Klein electrically charged black hole solution. We show that the instanton describes the decay of a Kaluza-Klein vacuum M^{D-1} x T^2 with a non-vanishing torus tilt parameter. The decay is produced by the creation of a bubble of nothing which expands with time. We compute the instanton action, which shows that this Kaluza-Klein vacuum becomes more stable as the torus tilt parameter is increased. As an application, we consider the decay of M-theory torus compactifications leading to type 0A/0B string theories.

[ { "created": "Wed, 25 May 2005 11:02:11 GMT", "version": "v1" } ]

2009-11-11

[ [ "Carballo", "J. Lopez", "" ], [ "Russo", "J. G.", "" ] ]

We describe new bubble decays in pure D+1 dimensional Einstein theory with two compact directions. The instanton solution is constructed by analytic continuation of the Kaluza-Klein electrically charged black hole solution. We show that the instanton describes the decay of a Kaluza-Klein vacuum M^{D-1} x T^2 with a non-vanishing torus tilt parameter. The decay is produced by the creation of a bubble of nothing which expands with time. We compute the instanton action, which shows that this Kaluza-Klein vacuum becomes more stable as the torus tilt parameter is increased. As an application, we consider the decay of M-theory torus compactifications leading to type 0A/0B string theories.

9.335782

8.485472

9.733648

8.369827

8.231416

9.06036

8.575692

8.243076

8.432294

11.166586

8.260721

8.850026

9.299416

8.524364

9.077472

8.403703

8.881737

8.53575

8.329456

9.458945

8.602404

2106.02642

Matti Jarvinen

Romuald A. Janik, Matti Jarvinen, Jacob Sonnenschein

A simple description of holographic domain walls in confining theories -- extended hydrodynamics

51 pages, 11 figures. v2: references updated

null

10.1007/JHEP09(2021)129

APCTP Pre2021 - 011

hep-th hep-ph

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

In the context of theories with a first order phase transition, we propose a general covariant description of coexisting phases separated by domain walls using an additional order parameter-like degree of freedom. In the case of a holographic Witten model with a confining and deconfined phase, the resulting model extends hydrodynamics and has a simple formulation in terms of a spacetime action with corresponding expressions for the energy-momentum tensor. The proposed description leads to simple analytic profiles of domain walls, including expressions for surface tension density, which agree nicely with holographic numerical solutions, despite the apparent complexity of those gravitational backgrounds.

[ { "created": "Fri, 4 Jun 2021 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 23 Jun 2021 12:42:15 GMT", "version": "v2" } ]

2021-10-04

[ [ "Janik", "Romuald A.", "" ], [ "Jarvinen", "Matti", "" ], [ "Sonnenschein", "Jacob", "" ] ]

In the context of theories with a first order phase transition, we propose a general covariant description of coexisting phases separated by domain walls using an additional order parameter-like degree of freedom. In the case of a holographic Witten model with a confining and deconfined phase, the resulting model extends hydrodynamics and has a simple formulation in terms of a spacetime action with corresponding expressions for the energy-momentum tensor. The proposed description leads to simple analytic profiles of domain walls, including expressions for surface tension density, which agree nicely with holographic numerical solutions, despite the apparent complexity of those gravitational backgrounds.

16.294559

16.725849

15.685714

14.367911

15.695789

15.910078

16.215221

15.616986

14.787604

15.619146

14.619906

14.805451

15.133728

14.563335

14.810329

14.654846

14.470113

14.805695

14.927032

15.31446

14.055647

hep-th/9404018

null

C. Duval, Z. Horv\'ath, P.A. Horv\'athy

The Nappi-Witten example and gravitational waves

null

hep-th

null

The vanishing of the anomaly in the recent example of Nappi and Witten, constructed from the Wess-Zumino-Witten model based on a certain non-semisimple group, follows from a more general result valid for gravitational waves. The construction of the metric is explained.}

[ { "created": "Tue, 5 Apr 1994 08:52:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Duval", "C.", "" ], [ "Horváth", "Z.", "" ], [ "Horváthy", "P. A.", "" ] ]

The vanishing of the anomaly in the recent example of Nappi and Witten, constructed from the Wess-Zumino-Witten model based on a certain non-semisimple group, follows from a more general result valid for gravitational waves. The construction of the metric is explained.}

17.569454

13.1519

15.592696

13.512733

13.948174

14.52851

15.05279

13.327117

13.063561

16.004793

13.752201

13.489873

14.940314

14.044415

13.177631

13.505229

13.89512

13.436139

14.382564

15.462856

13.783178

0710.1680

Motomu Tsuda

K. Shima, M. Tsuda and W. Lang

On vacuum structures of N = 2 LSUSY QED equivalent to N = 2 NLSUSY model

10 pages, correct form of the potential given as a footnote

Phys.Lett.B659:741-745,2008; Erratum-ibid.Phys.Lett.B672:413,2009

10.1016/j.physletb.2007.11.036 10.1016/j.physletb.2007.12.043

null

hep-th

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

The vacuum structure of N = 2 linear supersymmetry (LSUSY) invariant QED, which is equivalent to N = 2 nonlinear supersymmetry (NLSUSY) model, is studied explicitly in two dimensional space-time (d = 2). Two different isometries SO(1,3) and SO(3,1) appear for the vacuum field configuration corresponding to the various parameter regions. Two different field configurations of SO(3,1) isometry describe the two different physical vacua, i.e. one breaks spontaneously both U(1) and SUSY and the other breaks spontaneously SUSY alone.

[ { "created": "Tue, 9 Oct 2007 03:49:11 GMT", "version": "v1" }, { "created": "Fri, 19 Oct 2007 05:14:20 GMT", "version": "v2" }, { "created": "Mon, 3 Dec 2007 03:39:42 GMT", "version": "v3" }, { "created": "Sun, 30 Dec 2007 08:46:51 GMT", "version": "v4" }, { "created": "Sat, 10 Jan 2009 05:48:20 GMT", "version": "v5" } ]

2009-06-19

[ [ "Shima", "K.", "" ], [ "Tsuda", "M.", "" ], [ "Lang", "W.", "" ] ]

The vacuum structure of N = 2 linear supersymmetry (LSUSY) invariant QED, which is equivalent to N = 2 nonlinear supersymmetry (NLSUSY) model, is studied explicitly in two dimensional space-time (d = 2). Two different isometries SO(1,3) and SO(3,1) appear for the vacuum field configuration corresponding to the various parameter regions. Two different field configurations of SO(3,1) isometry describe the two different physical vacua, i.e. one breaks spontaneously both U(1) and SUSY and the other breaks spontaneously SUSY alone.

8.547319

6.91775

8.135934

7.35509

7.695594

7.192166

7.366987

7.756971

7.360978

9.316525

7.268317

7.75978

8.282195

7.523428

7.813939

7.825302

7.318355

7.511758

7.5065

8.360362

7.52142

hep-th/0405037

Satoshi Yamada

Shozo Uehara and Satoshi Yamada

From supermembrane to super Yang-Mills theory

18 pages, typos corrected, to appear in Nucl. Phys. B

Nucl.Phys. B696 (2004) 36-54

10.1016/j.nuclphysb.2004.07.005

DPNU-04-10

hep-th

null

We derive p+1-dimensional (p=1,2) maximally supersymmetric U(N) Yang-Mills theory from the wrapped supermembrane on $R^{11-p}\times T^{p}$ in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super Yang-Mills theory are given by the Fourier coefficients in the supermembrane theory. Although our approach never refers to both D-branes and superstring dualities, we obtain the relations which exactly represent T-duality.

[ { "created": "Wed, 5 May 2004 13:09:18 GMT", "version": "v1" }, { "created": "Sat, 24 Jul 2004 11:52:40 GMT", "version": "v2" } ]

2010-04-05

[ [ "Uehara", "Shozo", "" ], [ "Yamada", "Satoshi", "" ] ]

We derive p+1-dimensional (p=1,2) maximally supersymmetric U(N) Yang-Mills theory from the wrapped supermembrane on $R^{11-p}\times T^{p}$ in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super Yang-Mills theory are given by the Fourier coefficients in the supermembrane theory. Although our approach never refers to both D-branes and superstring dualities, we obtain the relations which exactly represent T-duality.

11.067052

9.395307

12.988927

9.047095

9.243855

8.962978

9.382504

9.13148

8.841022

13.702169

9.331592

9.24809

10.777416

9.61167

9.300061

9.442145

9.620101

8.964148

9.849958

10.597571

9.09073

0704.3667

Martin B. Halpern

M.B.Halpern

The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26 IV. Orientation Orbifolds Include Orientifolds

22 pages, typos corrected

Phys.Rev.D76:026004,2007

10.1103/PhysRevD.76.026004

null

hep-th math-ph math.MP

null

In this fourth paper of the series, I clarify the somewhat mysterious relation between the large class of {\it orientation orbifolds} (with twisted open-string CFT's at $\hat c=52$) and {\it orientifolds} (with untwisted open strings at $c=26$), both of which have been associated to division by world-sheet orientation-reversing automorphisms. In particular -- following a spectral clue in the previous paper -- I show that, even as an {\it interacting string system}, a certain half-integer-moded orientation orbifold-string system is in fact equivalent to the archetypal orientifold. The subtitle of this paper, that orientation orbifolds include and generalize standard orientifolds, then follows because there are many other orientation orbifold-string systems -- with higher fractional modeing -- which are not equivalent to untwisted string systems.

[ { "created": "Fri, 27 Apr 2007 06:44:54 GMT", "version": "v1" }, { "created": "Fri, 6 Jul 2007 05:55:15 GMT", "version": "v2" }, { "created": "Mon, 31 Dec 2007 08:50:55 GMT", "version": "v3" } ]

2008-11-26

[ [ "Halpern", "M. B.", "" ] ]

In this fourth paper of the series, I clarify the somewhat mysterious relation between the large class of {\it orientation orbifolds} (with twisted open-string CFT's at $\hat c=52$) and {\it orientifolds} (with untwisted open strings at $c=26$), both of which have been associated to division by world-sheet orientation-reversing automorphisms. In particular -- following a spectral clue in the previous paper -- I show that, even as an {\it interacting string system}, a certain half-integer-moded orientation orbifold-string system is in fact equivalent to the archetypal orientifold. The subtitle of this paper, that orientation orbifolds include and generalize standard orientifolds, then follows because there are many other orientation orbifold-string systems -- with higher fractional modeing -- which are not equivalent to untwisted string systems.

16.426754

14.358491

16.621326

15.236409

15.287165

14.923454

16.502306

15.086924

14.664444

20.035553

15.514026

14.954841

15.585336

14.905283

15.564389

15.303104

14.627577

15.231477

15.550535

16.164398

14.821174

hep-th/0311176

Manuel Asorey

M. Asorey

Vacuum energy and $\theta$--vacuum

8 pages, 1 figure. Invited talk at "Renormalization Group and Anomalies in Gravity and Cosmology", Ouro Preto,Brazil, March 17-23, 2003.v2: Added references

null

10.1016/S0920-5632(03)02395-8

null

hep-th

null

The highly non-trivial structure of the $\theta$--vacuum encodes many of the fundamental properties of gauge theories. In particular, the response of the vacuum to the $\theta$--term perturbation is sensitive to the existence of confinement, chiral symmetry breaking, etc. We analyze the dependence of the vacuum energy density on theta around two special values, $\theta=0$ and $\theta=\pi$. The existence or not of singular behaviors associated to spontaneous breaking of CP symmetry in these vacua has been a controversial matter for years. We clarify this important problem by means of continuum non-perturbative techniques. The results show the absence of first order cusp singularities on the vacuum energy density at $\theta=0$ and $\theta=\pi$ for some gauge theories. This smooth dependence of the energy on $\theta$ might have implications for long standing cosmological problems like the baryonic asymmetry and the cosmological constant problem.

[ { "created": "Wed, 19 Nov 2003 20:32:14 GMT", "version": "v1" }, { "created": "Thu, 18 Dec 2003 15:26:26 GMT", "version": "v2" } ]

2009-11-10

[ [ "Asorey", "M.", "" ] ]

The highly non-trivial structure of the $\theta$--vacuum encodes many of the fundamental properties of gauge theories. In particular, the response of the vacuum to the $\theta$--term perturbation is sensitive to the existence of confinement, chiral symmetry breaking, etc. We analyze the dependence of the vacuum energy density on theta around two special values, $\theta=0$ and $\theta=\pi$. The existence or not of singular behaviors associated to spontaneous breaking of CP symmetry in these vacua has been a controversial matter for years. We clarify this important problem by means of continuum non-perturbative techniques. The results show the absence of first order cusp singularities on the vacuum energy density at $\theta=0$ and $\theta=\pi$ for some gauge theories. This smooth dependence of the energy on $\theta$ might have implications for long standing cosmological problems like the baryonic asymmetry and the cosmological constant problem.

8.324315

8.203335

7.8461

7.74197

8.217815

8.5662

8.438663

7.925765

7.687064

9.305826

8.253479

7.998505

7.904051

7.750251

7.686848

7.711415

7.993655

7.880996

7.715036

7.876274

7.924753

hep-th/0603167

David Dudal

M.A.L. Capri, D. Dudal, J.A. Gracey, V.E.R. Lemes, R.F. Sobreiro, S.P. Sorella, R. Thibes, H. Verschelde

The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal Abelian gauge

6 pages. Talk given by S.P. Sorella at the "I Latin American Workshop on High Energy Phenomenology (I LAWHEP)", December 1-3 2005, Instituto de Fisica, UFRGS, Porto Alegre, Rio Grande Do Sul, Brasil

Braz.J.Phys.37:591-596,2007

10.1590/S0103-97332007000400019

LTH-695

hep-th

null

We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual superconductivity picture to explain color confinement. Two kinds of effects are taken into account: those arising from a treatment of Gribov copies in the MAG and those arising from a dynamical mass originating in a dimension two gluon condensate. The diagonal component of the gluon propagator displays the typical Gribov-type behaviour, while the off-diagonal component is of the Yukawa type due to the dynamical mass. These results are in qualitative agreement with available lattice data on the gluon propagators. The off-diagonal ghost propagator exhibits an infrared enhancement due to the Gribov restriction, while the diagonal one remains unaffected.

[ { "created": "Tue, 21 Mar 2006 13:48:01 GMT", "version": "v1" } ]

2011-08-04

[ [ "Capri", "M. A. L.", "" ], [ "Dudal", "D.", "" ], [ "Gracey", "J. A.", "" ], [ "Lemes", "V. E. R.", "" ], [ "Sobreiro", "R. F.", "" ], [ "Sorella", "S. P.", "" ], [ "Thibes", "R.", "" ], [ "Verschelde", "H.", "" ] ]

We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual superconductivity picture to explain color confinement. Two kinds of effects are taken into account: those arising from a treatment of Gribov copies in the MAG and those arising from a dynamical mass originating in a dimension two gluon condensate. The diagonal component of the gluon propagator displays the typical Gribov-type behaviour, while the off-diagonal component is of the Yukawa type due to the dynamical mass. These results are in qualitative agreement with available lattice data on the gluon propagators. The off-diagonal ghost propagator exhibits an infrared enhancement due to the Gribov restriction, while the diagonal one remains unaffected.

5.88107

5.171124

6.174319

5.371342

5.489217

5.62909

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5.085348

5.147467

5.920774

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5.192414

5.694182

5.471828

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5.56315

5.453773

5.867378

5.350855

hep-th/0112254

Vitor Cardoso

Vitor Cardoso, Jose' P. S. Lemos

Black hole collision with a scalar particle in three dimensional anti-de Sitter spacetime

5 pages, 3 figures;minor improvements; references added

Phys.Rev. D65 (2002) 104032

10.1103/PhysRevD.65.104032

null

hep-th gr-qc

null

We study the collision between a BTZ black hole and a test particle coupled to a scalar field. We compute the power spectrum, the energy radiated and the plunging waveforms for this process. We show that for late times the signal is dominated by the quasinormal ringing. In terms of the AdS/CFT correspondence the bulk gravity process maps into a thermal state, an expanding bubble and gauge particles decaying into bosons of the associated operator. These latter thermalize in a timescale predicted by the bulk theory.

[ { "created": "Sat, 29 Dec 2001 17:59:39 GMT", "version": "v1" }, { "created": "Wed, 15 May 2002 13:12:10 GMT", "version": "v2" } ]

2009-11-07

[ [ "Cardoso", "Vitor", "" ], [ "Lemos", "Jose' P. S.", "" ] ]

We study the collision between a BTZ black hole and a test particle coupled to a scalar field. We compute the power spectrum, the energy radiated and the plunging waveforms for this process. We show that for late times the signal is dominated by the quasinormal ringing. In terms of the AdS/CFT correspondence the bulk gravity process maps into a thermal state, an expanding bubble and gauge particles decaying into bosons of the associated operator. These latter thermalize in a timescale predicted by the bulk theory.

13.777308

13.966736

14.45543

12.717783

14.425851

13.715254

15.522232

12.839805

13.233308

13.981669

13.379217

12.955487

13.453209

13.20127

13.187641

13.100981

13.139094

12.891115

13.735238

13.563483

12.910078

2402.08176

Muxin Han

Representations of a quantum-deformed Lorentz algebra, Clebsch-Gordan map, and Fenchel-Nielsen representation of quantum complex flat connections at level-$k$

28 pages, 4 figures

null

hep-th gr-qc math-ph math.GT math.MP math.QA

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

A family of infinite-dimensional irreducible $\star$-representations on $\mathcal{H}\simeq L^2(\mathbb{R})\otimes\mathbb{C}^k$ is defined for a quantum-deformed Lorentz algebra $U_\mathbf{q}(sl_2)\otimes U_{\tilde{\mathbf{q}}}(sl_2)$, where $\mathbf{q}=\exp[\frac{2\pi i}{k}(1+b^2)]$ and $\tilde{\mathbf{q}}=\exp[\frac{2\pi i}{k}(1+b^{-2})]$ with $k\in\mathbb{Z}_+$ and $|b|=1$. The representations are constructed with the irreducible representation of quantum torus algebra at level-$k$, which is developed from the quantization of $\mathrm{SL}(2,\mathbb{C})$ Chern-Simons theory. We study the Clebsch-Gordan decomposition of the tensor product representation, and we show that it reduces to the same problem as diagonalizing the complex Fenchel-Nielson length operators in quantizing $\mathrm{SL}(2,\mathbb{C})$ flat connections on 4-holed sphere. Finally, the spectral decomposition of the complex Fenchel-Nielson length operators results in the direct-integral representation of the Hilbert space $\mathcal{H}$, which we call the Fenchel-Nielson representation.

[ { "created": "Tue, 13 Feb 2024 02:26:49 GMT", "version": "v1" } ]

2024-02-15

[ [ "Han", "Muxin", "" ] ]

A family of infinite-dimensional irreducible $\star$-representations on $\mathcal{H}\simeq L^2(\mathbb{R})\otimes\mathbb{C}^k$ is defined for a quantum-deformed Lorentz algebra $U_\mathbf{q}(sl_2)\otimes U_{\tilde{\mathbf{q}}}(sl_2)$, where $\mathbf{q}=\exp[\frac{2\pi i}{k}(1+b^2)]$ and $\tilde{\mathbf{q}}=\exp[\frac{2\pi i}{k}(1+b^{-2})]$ with $k\in\mathbb{Z}_+$ and $|b|=1$. The representations are constructed with the irreducible representation of quantum torus algebra at level-$k$, which is developed from the quantization of $\mathrm{SL}(2,\mathbb{C})$ Chern-Simons theory. We study the Clebsch-Gordan decomposition of the tensor product representation, and we show that it reduces to the same problem as diagonalizing the complex Fenchel-Nielson length operators in quantizing $\mathrm{SL}(2,\mathbb{C})$ flat connections on 4-holed sphere. Finally, the spectral decomposition of the complex Fenchel-Nielson length operators results in the direct-integral representation of the Hilbert space $\mathcal{H}$, which we call the Fenchel-Nielson representation.

4.397627

5.176527

4.587462

4.614066

5.19509

5.27096

5.198983

4.90853

4.471842

4.73725

4.61174

4.632141

4.623964

4.413628

4.565556

4.603209

4.46027

4.51199

4.549231

4.677826

4.429895

1111.6660

Lubomir Martinovic

Exactly solvable models and spontaneous symmetry breaking

6 pages, the author's contribution at LIGHTCONE 2011 conference, Dallas, Texas, May 23-27, 2011

null

hep-th

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

We study a few two-dimensional models with massive and massless fermions in the hamiltonian framework and in both conventional and light-front forms of field theory. The new ingredient is a modification of the canonical procedure by taking into account solutions of the operator field equations. After summarizing the main results for the derivative-coupling and the Thirring models, we briefly compare conventional and light-front versions of the Federbush model including the massive current bosonization and a Bogoliubov transformation to diagonalize the Hamiltonian. Then we sketch an extension of our hamiltonian approach to the two-dimensional Nambu--Jona-Lasinio model and the Thirring--Wess models. Finally, we discuss the Schwinger model in a covariant gauge. In particular, we point out that the solution due to Lowenstein and Swieca implies the physical vacuum in terms of a coherent state of massive scalar field and suggest a new formulation of the model's vacuum degeneracy.

[ { "created": "Tue, 29 Nov 2011 01:26:52 GMT", "version": "v1" } ]

2011-11-30

[ [ "Martinovic", "Lubomir", "" ] ]

We study a few two-dimensional models with massive and massless fermions in the hamiltonian framework and in both conventional and light-front forms of field theory. The new ingredient is a modification of the canonical procedure by taking into account solutions of the operator field equations. After summarizing the main results for the derivative-coupling and the Thirring models, we briefly compare conventional and light-front versions of the Federbush model including the massive current bosonization and a Bogoliubov transformation to diagonalize the Hamiltonian. Then we sketch an extension of our hamiltonian approach to the two-dimensional Nambu--Jona-Lasinio model and the Thirring--Wess models. Finally, we discuss the Schwinger model in a covariant gauge. In particular, we point out that the solution due to Lowenstein and Swieca implies the physical vacuum in terms of a coherent state of massive scalar field and suggest a new formulation of the model's vacuum degeneracy.

11.313096

11.949652

11.874935

10.830993

10.770607

11.101462

11.315899

10.679945

10.391212

13.148423

10.131289

10.795102

11.489102

10.779832

11.058797

10.820271

10.555282

10.966311

10.887276

11.289542

10.664119

1605.08052

Washington Taylor

Samuel B. Johnson and Washington Taylor

Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds

101 pages, 3 figures, 25 tables; v2: references added, some technical corrections, minor typos corrected

null

10.1002/prop.201600074

MIT-CTP-4645

hep-th math.AG

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

We systematically analyze the local combinations of gauge groups and matter that can arise in 6D F-theory models over a fixed base. We compare the low-energy constraints of anomaly cancellation to explicit F-theory constructions using Weierstrass and Tate forms, and identify some new local structures in the "swampland' of 6D supergravity and SCFT models that appear consistent from low-energy considerations but do not have known F-theory realizations. In particular, we classify and carry out a local analysis of all enhancements of the irreducible gauge and matter contributions from "non-Higgsable clusters," and on isolated curves and pairs of intersecting rational curves of arbitrary self-intersection. Such enhancements correspond physically to unHiggsings, and mathematically to tunings of the Weierstrass model of an elliptic CY threefold. We determine the shift in Hodge numbers of the elliptic threefold associated with each enhancement. We also consider local tunings on curves that have higher genus or intersect multiple other curves, codimension two tunings that give transitions in the F-theory matter content, tunings of abelian factors in the gauge group, and generalizations of the "$E_8$" rule to include tunings and curves of self-intersection zero. These tools can be combined into an algorithm that in principle enables a finite and systematic classification of all elliptic CY threefolds and corresponding 6D F-theory SUGRA models over a given compact base (modulo some technical caveats in various special circumstances), and are also relevant to the classification of 6D SCFT's. To illustrate the utility of these results, we identify some large example classes of known CY threefolds in the Kreuzer-Skarke database as Weierstrass models over complex surface bases with specific simple tunings, and we survey the range of tunings possible over one specific base.

[ { "created": "Wed, 25 May 2016 20:00:05 GMT", "version": "v1" }, { "created": "Thu, 16 Jun 2016 00:13:14 GMT", "version": "v2" } ]

2016-11-03

[ [ "Johnson", "Samuel B.", "" ], [ "Taylor", "Washington", "" ] ]

We systematically analyze the local combinations of gauge groups and matter that can arise in 6D F-theory models over a fixed base. We compare the low-energy constraints of anomaly cancellation to explicit F-theory constructions using Weierstrass and Tate forms, and identify some new local structures in the "swampland' of 6D supergravity and SCFT models that appear consistent from low-energy considerations but do not have known F-theory realizations. In particular, we classify and carry out a local analysis of all enhancements of the irreducible gauge and matter contributions from "non-Higgsable clusters," and on isolated curves and pairs of intersecting rational curves of arbitrary self-intersection. Such enhancements correspond physically to unHiggsings, and mathematically to tunings of the Weierstrass model of an elliptic CY threefold. We determine the shift in Hodge numbers of the elliptic threefold associated with each enhancement. We also consider local tunings on curves that have higher genus or intersect multiple other curves, codimension two tunings that give transitions in the F-theory matter content, tunings of abelian factors in the gauge group, and generalizations of the "$E_8$" rule to include tunings and curves of self-intersection zero. These tools can be combined into an algorithm that in principle enables a finite and systematic classification of all elliptic CY threefolds and corresponding 6D F-theory SUGRA models over a given compact base (modulo some technical caveats in various special circumstances), and are also relevant to the classification of 6D SCFT's. To illustrate the utility of these results, we identify some large example classes of known CY threefolds in the Kreuzer-Skarke database as Weierstrass models over complex surface bases with specific simple tunings, and we survey the range of tunings possible over one specific base.

10.609346

11.899731

12.941289

10.960857

12.277606

12.086782

11.954722

11.476725

11.020124

15.214847

11.077918

10.949665

11.083231

10.737949

10.963047

10.672486

10.731013

10.641585

10.73845

11.536885

10.667976

hep-th/9311038

Massimo Porrati

S. Ferrara, A. Masiero, M. Porrati and R. Stora

Bardeen-Anomaly and Wess-Zumino Term in the Supersymmetric Standard Model

21 pages, (plain TeX), CERN.TH-6845/93, DFPD 93/TH/32, UCLA/93/TEP/13, NYU-TH-93/10/01, ENSLAPP-A442/93

Nucl.Phys. B417 (1994) 238-256

10.1016/0550-3213(94)90545-2

null

hep-th hep-ph

null

We construct the Bardeen anomaly and its related Wess-Zumino term in the supersymmetric standard model. In particular we show that it can be written in terms of a composite linear superfield related to supersymmetrized Chern-Simons forms, in very much the same way as the Green-Schwarz term in four-dimensional string theory. Some physical applications, such as the contribution to the g-2 of gauginos when a heavy top is integrated out, are briefly discussed.

[ { "created": "Fri, 5 Nov 1993 21:29:57 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ferrara", "S.", "" ], [ "Masiero", "A.", "" ], [ "Porrati", "M.", "" ], [ "Stora", "R.", "" ] ]

We construct the Bardeen anomaly and its related Wess-Zumino term in the supersymmetric standard model. In particular we show that it can be written in terms of a composite linear superfield related to supersymmetrized Chern-Simons forms, in very much the same way as the Green-Schwarz term in four-dimensional string theory. Some physical applications, such as the contribution to the g-2 of gauginos when a heavy top is integrated out, are briefly discussed.

9.130943

8.891178

9.266791

8.630657

8.582156

8.820803

8.594515

8.836275

8.442686

10.555515

8.85575

8.757051

8.616358

8.691534

9.33734

8.880553

8.799841

9.005358

8.328233

9.33817

8.657144

0806.3255

Matthias Blau

Matthias Blau, Martin O'Loughlin

DLCQ and Plane Wave Matrix Big Bang Models

29 pages, v2: reference added + minor cosmetic corrections

JHEP 0809:097,2008

10.1088/1126-6708/2008/09/097

null

hep-th

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

We study the generalisations of the Craps-Sethi-Verlinde matrix big bang model to curved, in particular plane wave, space-times, beginning with a careful discussion of the DLCQ procedure. Singular homogeneous plane waves are ideal toy-models of realistic space-time singularities since they have been shown to arise universally as their Penrose limits, and we emphasise the role played by the symmetries of these plane waves in implementing the flat space Seiberg-Sen DLCQ prescription for these curved backgrounds. We then analyse various aspects of the resulting matrix string Yang-Mills theories, such as the relation between strong coupling space-time singularities and world-sheet tachyonic mass terms. In order to have concrete examples at hand, in an appendix we determine and analyse the IIA singular homogeneous plane wave - null dilaton backgrounds.

[ { "created": "Thu, 19 Jun 2008 18:04:04 GMT", "version": "v1" }, { "created": "Mon, 25 Aug 2008 12:45:48 GMT", "version": "v2" } ]

2011-06-02

[ [ "Blau", "Matthias", "" ], [ "O'Loughlin", "Martin", "" ] ]

We study the generalisations of the Craps-Sethi-Verlinde matrix big bang model to curved, in particular plane wave, space-times, beginning with a careful discussion of the DLCQ procedure. Singular homogeneous plane waves are ideal toy-models of realistic space-time singularities since they have been shown to arise universally as their Penrose limits, and we emphasise the role played by the symmetries of these plane waves in implementing the flat space Seiberg-Sen DLCQ prescription for these curved backgrounds. We then analyse various aspects of the resulting matrix string Yang-Mills theories, such as the relation between strong coupling space-time singularities and world-sheet tachyonic mass terms. In order to have concrete examples at hand, in an appendix we determine and analyse the IIA singular homogeneous plane wave - null dilaton backgrounds.

16.018307

14.95858

15.722655

14.881223

15.6551

14.992861

15.093489

15.867498

14.349313

16.759274

17.465319

14.103407

14.450402

13.33307

13.800054

14.038674

14.187596

13.893894

13.719243

14.054605

13.869037

hep-th/0508089

Herman Verlinde

Herman Verlinde and Martijn Wijnholt

Building the Standard Model on a D3-brane

37 pages, 9 figures

JHEP 0701:106,2007

10.1088/1126-6708/2007/01/106

PUPT-2165

hep-th

null

We motivate and apply a bottom-up approach to string phenomenology, which aims to construct the Standard Model as a decoupled world-volume theory on a D3-brane. As a concrete proposal for such a construction, we consider a single probe D3-brane on a partial resolution of a del Pezzo 8 singularity. The resulting world-volume theory reproduces the field content and interactions of the MSSM, however with a somewhat extended Higgs sector. An attractive feature of our approach is that the gauge and Yukawa couplings are dual to non-dynamical closed string modes, and are therefore tunable parameters.

[ { "created": "Fri, 12 Aug 2005 19:27:47 GMT", "version": "v1" }, { "created": "Sat, 13 Aug 2005 23:45:34 GMT", "version": "v2" } ]

2010-10-27

[ [ "Verlinde", "Herman", "" ], [ "Wijnholt", "Martijn", "" ] ]

We motivate and apply a bottom-up approach to string phenomenology, which aims to construct the Standard Model as a decoupled world-volume theory on a D3-brane. As a concrete proposal for such a construction, we consider a single probe D3-brane on a partial resolution of a del Pezzo 8 singularity. The resulting world-volume theory reproduces the field content and interactions of the MSSM, however with a somewhat extended Higgs sector. An attractive feature of our approach is that the gauge and Yukawa couplings are dual to non-dynamical closed string modes, and are therefore tunable parameters.

7.586394

7.37563

7.712906

6.769842

7.233783

7.222142

7.110429

7.181808

6.678227

8.329003

6.940428

6.771092

7.283059

6.91243

6.799067

6.948807

6.888319

6.608489

6.819311

7.02786

6.9363

1803.05452

Henrik Johansson

Thales Azevedo, Marco Chiodaroli, Henrik Johansson and Oliver Schlotterer

Heterotic and bosonic string amplitudes via field theory

38+5 pages

null

10.1007/JHEP10(2018)012

UUITP-07/18, NORDITA-2018-020

hep-th

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

Previous work has shown that massless tree amplitudes of the type I and IIA/B superstrings can be dramatically simplified by expressing them as double copies between field-theory amplitudes and scalar disk/sphere integrals, the latter containing all the $\alpha'$-corrections. In this work, we pinpoint similar double-copy constructions for the heterotic and bosonic string theories using an $\alpha'$-dependent field theory and the same disk/sphere integrals. Surprisingly, this field theory, built out of dimension-six operators such as $(D_\mu F^{\mu \nu})^2$, has previously appeared in the double-copy construction of conformal supergravity. We elaborate on the $\alpha' \rightarrow \infty$ limit in this picture and derive new amplitude relations for various gauge-gravity theories from those of the heterotic string.

[ { "created": "Wed, 14 Mar 2018 18:02:05 GMT", "version": "v1" } ]

2018-11-14

[ [ "Azevedo", "Thales", "" ], [ "Chiodaroli", "Marco", "" ], [ "Johansson", "Henrik", "" ], [ "Schlotterer", "Oliver", "" ] ]

Previous work has shown that massless tree amplitudes of the type I and IIA/B superstrings can be dramatically simplified by expressing them as double copies between field-theory amplitudes and scalar disk/sphere integrals, the latter containing all the $\alpha'$-corrections. In this work, we pinpoint similar double-copy constructions for the heterotic and bosonic string theories using an $\alpha'$-dependent field theory and the same disk/sphere integrals. Surprisingly, this field theory, built out of dimension-six operators such as $(D_\mu F^{\mu \nu})^2$, has previously appeared in the double-copy construction of conformal supergravity. We elaborate on the $\alpha' \rightarrow \infty$ limit in this picture and derive new amplitude relations for various gauge-gravity theories from those of the heterotic string.

8.4306

9.204779

10.734475

8.737216

8.671889

8.464519

8.148265

8.196285

8.591499

11.318106

8.193355

7.990925

9.023966

8.024896

7.735174

7.632782

8.045375

7.817514

8.105885

9.360936

8.219658

0802.2956

Christopher Herzog

Christopher P. Herzog, Stefan A. Stricker, Aleksi Vuorinen

Remarks on Heavy-Light Mesons from AdS/CFT

29 pages, 9 figures; v2 section 5 rewritten to include discussion of long strings, other minor improvements, ref added

JHEP 0805:070,2008

10.1088/1126-6708/2008/05/070

null

hep-th hep-ph

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

We use the AdS/CFT correspondence to compute the energy spectrum of heavy-light mesons in a N=2 SU(N) super Yang-Mills theory with two massive hypermultiplets. In the heavy quark limit, similar to QCD, we find that the excitation energies are independent of the heavy quark mass. We also make some remarks about related AdS/CFT models of flavor with less supersymmetry.

[ { "created": "Wed, 20 Feb 2008 22:36:46 GMT", "version": "v1" }, { "created": "Fri, 14 Mar 2008 21:21:42 GMT", "version": "v2" } ]

2009-01-06

[ [ "Herzog", "Christopher P.", "" ], [ "Stricker", "Stefan A.", "" ], [ "Vuorinen", "Aleksi", "" ] ]

We use the AdS/CFT correspondence to compute the energy spectrum of heavy-light mesons in a N=2 SU(N) super Yang-Mills theory with two massive hypermultiplets. In the heavy quark limit, similar to QCD, we find that the excitation energies are independent of the heavy quark mass. We also make some remarks about related AdS/CFT models of flavor with less supersymmetry.

6.269819

5.644007

6.429886

5.322608

5.750004

5.573571

5.311732

5.945775

5.365263

6.56092

5.357042

5.448781

5.889128

5.528864

5.5879

5.665394

5.477916

5.54208

5.466273

6.160962

5.702216

2201.12232

Sergey Derkachov

S. Derkachov, A.P. Isaev, L. Shumilov

Conformal Triangles and Zig-Zag Diagrams

null

10.1016/j.physletb.2022.137150

null

hep-th

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

A convenient integral representation for zig-zag four-point and two-point planar Feynman diagrams relevant to the bi-scalar D-dimensional fishnet field theory is obtained. This representation gives a possibility to evaluate exactly diagrams of the zig-zag series in special cases. In particular, we give a fairly simple proof of the Broadhurst-Kreimer conjecture about the values of zig-zag multi-loop two-point diagrams which make a significant contribution to the renormalization group beta-function in 4-dimensional phi^4 theory.

[ { "created": "Fri, 28 Jan 2022 16:39:12 GMT", "version": "v1" }, { "created": "Sat, 26 Mar 2022 19:23:01 GMT", "version": "v2" } ]

2022-05-11

[ [ "Derkachov", "S.", "" ], [ "Isaev", "A. P.", "" ], [ "Shumilov", "L.", "" ] ]

A convenient integral representation for zig-zag four-point and two-point planar Feynman diagrams relevant to the bi-scalar D-dimensional fishnet field theory is obtained. This representation gives a possibility to evaluate exactly diagrams of the zig-zag series in special cases. In particular, we give a fairly simple proof of the Broadhurst-Kreimer conjecture about the values of zig-zag multi-loop two-point diagrams which make a significant contribution to the renormalization group beta-function in 4-dimensional phi^4 theory.

13.894299

12.606554

15.381687

12.394422

12.634032

12.105077

11.133357

12.790777

12.020024

14.212253

11.484213

11.656725

12.485186

11.920514

12.280663

12.306509

12.058758

12.343361

11.978311

12.587753

12.786128

2202.05781

Nicol\'as Grandi

Jos\'e D. Edelstein, Nicol\'as Grandi, Alberto Rivadulla S\'anchez

Holographic superconductivity in Einsteinian Cubic Gravity

19 pages, 8 figures, replaced by revised version with minor correeections

J. High Energ. Phys. 2022, 188 (2022)

10.1007/JHEP05(2022)188

null

hep-th cond-mat.supr-con

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

We study the condensation of a charged scalar field in a $(3+1)$-dimensional asymptotically AdS background in the context of Einsteinian cubic gravity, featuring a holographic superconductor with higher curvature corrections corresponding to a CFT with a non-vanishing value of the stress tensor three-point function $t_4$. As it was previously noticed for higher dimensional Gauss-Bonnet theory, we observe that the critical temperature of the superconducting phase transition is lowered as the higher curvature coupling grows.

[ { "created": "Fri, 11 Feb 2022 17:24:33 GMT", "version": "v1" }, { "created": "Wed, 23 Feb 2022 16:10:32 GMT", "version": "v2" } ]

2022-06-14

[ [ "Edelstein", "José D.", "" ], [ "Grandi", "Nicolás", "" ], [ "Sánchez", "Alberto Rivadulla", "" ] ]

We study the condensation of a charged scalar field in a $(3+1)$-dimensional asymptotically AdS background in the context of Einsteinian cubic gravity, featuring a holographic superconductor with higher curvature corrections corresponding to a CFT with a non-vanishing value of the stress tensor three-point function $t_4$. As it was previously noticed for higher dimensional Gauss-Bonnet theory, we observe that the critical temperature of the superconducting phase transition is lowered as the higher curvature coupling grows.

7.413842

6.715197

7.598095

6.836847

6.544626

6.856593

7.149124

6.332791

6.71808

7.716144

6.138647

6.919932

7.098726

6.833951

6.829768

6.895931

6.732244

6.858964

6.924393

7.44683

6.69481

hep-th/9206038

null

Gerald Dunne and Nuria Rius

A Comment on the Relationship Between Differential and Dimensional Renormalization

null

Phys.Lett. B293 (1992) 367-374

10.1016/0370-2693(92)90897-D

null

hep-th

null

We show that there is a very simple relationship between differential and dimensional renormalization of low-order Feynman graphs in renormalizable massless quantum field theories. The beauty of the differential approach is that it achieves the same finite results as dimensional renormalization without the need to modify the space time dimension.

[ { "created": "Tue, 9 Jun 1992 17:32:05 GMT", "version": "v1" } ]

2009-10-22

[ [ "Dunne", "Gerald", "" ], [ "Rius", "Nuria", "" ] ]

We show that there is a very simple relationship between differential and dimensional renormalization of low-order Feynman graphs in renormalizable massless quantum field theories. The beauty of the differential approach is that it achieves the same finite results as dimensional renormalization without the need to modify the space time dimension.

11.275682

9.619685

10.106806

9.215954

9.631367

9.41069

9.481584

8.780443

9.570269

11.662173

9.208379

10.128422

10.213313

9.383433

9.973078

10.24199

9.689502

10.619025

9.930347

10.102623

9.300215

2203.05491

Debarshi Basu

Balanced Partial Entanglement in Flat Holography

25 pages, 3 figures; v2: minor modifications, typos corrected, references added

null

hep-th

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

We advance a construction for the balanced partial entanglement entropy (BPE) for bipartite mixed states in a class of $(1+1)$-dimensional Galilean conformal field theories dual to Einstein gravity and topologically massive gravity in asymptotically flat spacetimes. We compare our results with the entanglement wedge cross section (EWCS) in the dual geometries and find exact agreement. Furthermore, utilizing a geometric picture, we demonstrate the holographic duality between the EWCS and the BPE in the context of flat holography.

[ { "created": "Thu, 10 Mar 2022 17:21:15 GMT", "version": "v1" }, { "created": "Fri, 18 Mar 2022 18:26:27 GMT", "version": "v2" } ]

2022-03-22

[ [ "Basu", "Debarshi", "" ] ]

We advance a construction for the balanced partial entanglement entropy (BPE) for bipartite mixed states in a class of $(1+1)$-dimensional Galilean conformal field theories dual to Einstein gravity and topologically massive gravity in asymptotically flat spacetimes. We compare our results with the entanglement wedge cross section (EWCS) in the dual geometries and find exact agreement. Furthermore, utilizing a geometric picture, we demonstrate the holographic duality between the EWCS and the BPE in the context of flat holography.

7.395099

4.753788

8.721086

5.553698

5.207141

4.91888

5.048866

5.065518

5.368436

9.345627

5.439134

6.077004

7.725134

6.614578

6.447503

6.375756

6.065563

6.683503

6.413462

7.88464

6.20855

hep-th/0202179

null

J.G. Russo and A.A. Tseytlin

On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds

36 pages, harvmac. v2: discussion of equivalence of the supergravity parts of the spectra of the NS-NS and R-R models added in sect.5.3; v3: added remark on periodicity of the NS-NS spectrum; v4: minor correction in sect.6.2

JHEP 0204:021,2002

10.1088/1126-6708/2002/04/021

null

hep-th

null

We consider type IIB string in the two plane-wave backgrounds which may be interpreted as special limits of the AdS_3 x S^3 metric supported by either the NS-NS or R-R 3-form field. The NS-NS plane-wave string model is equivalent to a direct generalization of the Nappi-Witten model, with its spectrum being similar to that of strings in constant magnetic field. The R-R model can be solved in the light-cone gauge, where the Green-Schwarz action describes 4 massive and 4 massless copies of free bosons and fermions. We find the spectra of the two string models and study the asymptotic density of states. We also discuss a more general class of exactly solvable plane-wave models with reduced supersymmetry which is obtained by adding twists in two spatial 2-planes.

[ { "created": "Tue, 26 Feb 2002 20:59:00 GMT", "version": "v1" }, { "created": "Thu, 28 Feb 2002 20:53:54 GMT", "version": "v2" }, { "created": "Tue, 5 Mar 2002 19:51:29 GMT", "version": "v3" }, { "created": "Sun, 24 Mar 2002 16:24:15 GMT", "version": "v4" } ]

2009-11-07

[ [ "Russo", "J. G.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We consider type IIB string in the two plane-wave backgrounds which may be interpreted as special limits of the AdS_3 x S^3 metric supported by either the NS-NS or R-R 3-form field. The NS-NS plane-wave string model is equivalent to a direct generalization of the Nappi-Witten model, with its spectrum being similar to that of strings in constant magnetic field. The R-R model can be solved in the light-cone gauge, where the Green-Schwarz action describes 4 massive and 4 massless copies of free bosons and fermions. We find the spectra of the two string models and study the asymptotic density of states. We also discuss a more general class of exactly solvable plane-wave models with reduced supersymmetry which is obtained by adding twists in two spatial 2-planes.

8.512349

7.574462

9.685885

7.786042

7.83565

8.006526

7.909588

8.068631

7.902987

10.176064

7.858072

7.950471

8.738922

7.974309

8.194265

8.096482

8.085954

8.094026

8.190277

8.7587

8.095949

hep-th/9502138

Paul Montague

P.S. Montague

Third and Higher Order NFPA Twisted Constructions of Conformal Field Theories from Lattices

LaTeX 46 pages

Nucl.Phys.B441:337-382,1995

10.1016/0550-3213(95)00115-9

null

hep-th

null

We investigate orbifold constructions of conformal field theories from lattices by no-fixed-point automorphisms (NFPA's) $Z_p$ for $p$ prime, $p>2$, concentrating on the case $p=3$. Explicit expressions are given for most of the relevant vertex operators, and we consider the locality relations necessary for these to define a consistent conformal field theory. A relation to constructions of lattices from codes, analogous to that found in earlier work in the $p=2$ case which led to a generalisation of the triality structure of the Monster module, is also demonstrated.

[ { "created": "Fri, 24 Feb 1995 05:11:15 GMT", "version": "v1" } ]

2010-11-01

[ [ "Montague", "P. S.", "" ] ]

We investigate orbifold constructions of conformal field theories from lattices by no-fixed-point automorphisms (NFPA's) $Z_p$ for $p$ prime, $p>2$, concentrating on the case $p=3$. Explicit expressions are given for most of the relevant vertex operators, and we consider the locality relations necessary for these to define a consistent conformal field theory. A relation to constructions of lattices from codes, analogous to that found in earlier work in the $p=2$ case which led to a generalisation of the triality structure of the Monster module, is also demonstrated.

11.281854

10.323613

13.588658

10.731033

10.311686

10.75582

12.339267

10.585755

10.356263

13.822079

10.627421

10.858785

12.208139

10.947418

10.509518

10.522458

11.307967

10.933737

10.762387

12.169993

10.769446

0911.3380

Xingang Chen

Xingang Chen, Yi Wang

Quasi-Single Field Inflation and Non-Gaussianities

56 pages, v4, minor revision with added comments, JCAP version

JCAP 1004:027,2010

10.1088/1475-7516/2010/04/027

null

hep-th astro-ph.CO hep-ph

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

In quasi-single field inflation models, massive isocurvature modes, that are coupled to the inflaton and have mass of order the Hubble parameter, can have nontrivial impacts on density perturbations, especially non-Gaussianities. We study a simple example of quasi-single field inflation in terms of turning inflaton trajectory. Large bispectra with a one-parameter family of novel shapes arise, lying between the well-known local and equilateral shape. The trispectra can also be very large and its magnitude tNL can be much larger than fNL squared.

[ { "created": "Tue, 17 Nov 2009 19:20:45 GMT", "version": "v1" }, { "created": "Wed, 18 Nov 2009 00:56:43 GMT", "version": "v2" }, { "created": "Wed, 17 Feb 2010 16:18:33 GMT", "version": "v3" }, { "created": "Sat, 24 Apr 2010 15:03:29 GMT", "version": "v4" } ]

2010-05-07

[ [ "Chen", "Xingang", "" ], [ "Wang", "Yi", "" ] ]

In quasi-single field inflation models, massive isocurvature modes, that are coupled to the inflaton and have mass of order the Hubble parameter, can have nontrivial impacts on density perturbations, especially non-Gaussianities. We study a simple example of quasi-single field inflation in terms of turning inflaton trajectory. Large bispectra with a one-parameter family of novel shapes arise, lying between the well-known local and equilateral shape. The trispectra can also be very large and its magnitude tNL can be much larger than fNL squared.

12.405052

12.686272

12.505219

11.536307

11.548842

12.156066

12.431089

12.213766

11.728954

13.965851

12.140011

11.577602

11.340935

11.039865

11.523805

12.1644

11.54025

11.292532

11.283216

12.654432

11.33041

hep-th/0406209

Theodora Ioannidou Dr

Yves Brihaye and Theodora Ioannidou

SU(5) Gravitating Monopoles

12 pages, 3 Figures

Class.Quant.Grav.22:1077-1086,2005

10.1088/0264-9381/22/6/010

null

hep-th

null

Spherically symmetric solutions of the SU(5) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz \cite{IS}. This way the problem reduces to solving a set of ordinary differential equations for the appropriate profile functions.

[ { "created": "Wed, 23 Jun 2004 13:36:08 GMT", "version": "v1" } ]

2010-11-19

[ [ "Brihaye", "Yves", "" ], [ "Ioannidou", "Theodora", "" ] ]

Spherically symmetric solutions of the SU(5) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz \cite{IS}. This way the problem reduces to solving a set of ordinary differential equations for the appropriate profile functions.

8.902272

6.205128

7.060796

6.399415

6.34347

6.764752

5.924405

5.985569

6.121287

7.221533

6.897272

6.128815

6.901539

6.433619

6.328523

6.501235

6.45571

6.313114

6.297638

6.659503

6.526619

hep-th/9602075

Ahmed Hindawi

Ahmed Hindawi, Burt A. Ovrut, Daniel Waldram

Soft Supersymmetry Breaking Induced by Higher-Derivative Supergravitation in the Electroweak Standard Model

LaTeX2e with AMS-LaTeX 1.2, 13 pages

Phys.Lett. B381 (1996) 154-162

10.1016/0370-2693(96)00549-7

UPR-691T

hep-th hep-ph

null

We show how spontaneous supersymmetry breaking in the vacuum state of higher-derivative supergravity is transmitted, as explicit soft supersymmetry-breaking terms, to the effective Lagrangian of the standard electroweak model. The general structure of the soft supersymmetry breaking terms is presented and a new scenario for understanding the gauge hierarchy problem, based on the functional form of these terms, is discussed.

[ { "created": "Thu, 15 Feb 1996 00:51:59 GMT", "version": "v1" }, { "created": "Sun, 29 Dec 1996 00:23:16 GMT", "version": "v2" } ]

2009-10-30

[ [ "Hindawi", "Ahmed", "" ], [ "Ovrut", "Burt A.", "" ], [ "Waldram", "Daniel", "" ] ]

We show how spontaneous supersymmetry breaking in the vacuum state of higher-derivative supergravity is transmitted, as explicit soft supersymmetry-breaking terms, to the effective Lagrangian of the standard electroweak model. The general structure of the soft supersymmetry breaking terms is presented and a new scenario for understanding the gauge hierarchy problem, based on the functional form of these terms, is discussed.

8.803081

8.323403

7.497329

8.146766

7.581166

7.576083

7.695411

8.492519

7.466441

8.102482

7.96905

8.397195

7.714893

8.122355

8.026537

8.217903

8.045733

8.30411

7.98985

7.53314

7.822118

2312.13267

Ricardo Monteiro

George Doran, Ricardo Monteiro, Sam Wikeley

On the anomaly interpretation of amplitudes in self-dual Yang-Mills and gravity

41 pages, 2 figures. v2: published version with substantial improvements, including new section 4

null

QMUL-PH-23-26, UUITP--38/23

hep-th

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

We investigate the integrability anomalies arising in the self-dual sectors of gravity and Yang-Mills theory, focusing on their connection to both the chiral anomaly and the trace anomaly. The anomalies in the self-dual sectors generate the one-loop all-plus amplitudes of gravitons and gluons, and have recently been studied via twistor constructions. On the one hand, we show how they can be interpreted as an anomaly of the chiral U(1) electric-magnetic-type duality in the self-dual sectors. We also note the similarity, for the usual fermionic chiral anomaly, between the 4D setting of self-dual Yang-Mills and the 2D setting of the Schwinger model. On the other hand, the anomalies in the self-dual theories also resemble the trace anomaly, sharing the same type of non-local effective action. We highlight the role of a Weyl-covariant fourth-order differential operator familiar from the trace anomaly literature, which (i) explains the conformal properties of the one-loop amplitudes, and (ii) indicates how this story may be extended to non-trivial spacetime backgrounds, e.g. with a cosmological constant. Moving beyond the self-dual sectors, and focusing on the gravity case, we comment on an intriguing connection to the two-loop ultraviolet divergence of pure gravity, whereby cancelling the anomaly at one-loop eliminates the two-loop divergence for the simplest helicity amplitudes.

[ { "created": "Wed, 20 Dec 2023 18:47:55 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2024 14:03:16 GMT", "version": "v2" } ]

2024-06-14

[ [ "Doran", "George", "" ], [ "Monteiro", "Ricardo", "" ], [ "Wikeley", "Sam", "" ] ]

We investigate the integrability anomalies arising in the self-dual sectors of gravity and Yang-Mills theory, focusing on their connection to both the chiral anomaly and the trace anomaly. The anomalies in the self-dual sectors generate the one-loop all-plus amplitudes of gravitons and gluons, and have recently been studied via twistor constructions. On the one hand, we show how they can be interpreted as an anomaly of the chiral U(1) electric-magnetic-type duality in the self-dual sectors. We also note the similarity, for the usual fermionic chiral anomaly, between the 4D setting of self-dual Yang-Mills and the 2D setting of the Schwinger model. On the other hand, the anomalies in the self-dual theories also resemble the trace anomaly, sharing the same type of non-local effective action. We highlight the role of a Weyl-covariant fourth-order differential operator familiar from the trace anomaly literature, which (i) explains the conformal properties of the one-loop amplitudes, and (ii) indicates how this story may be extended to non-trivial spacetime backgrounds, e.g. with a cosmological constant. Moving beyond the self-dual sectors, and focusing on the gravity case, we comment on an intriguing connection to the two-loop ultraviolet divergence of pure gravity, whereby cancelling the anomaly at one-loop eliminates the two-loop divergence for the simplest helicity amplitudes.

7.79732

7.806508

8.408657

7.771385

7.92302

8.057825

7.574264

7.579348

7.570606

8.795693

7.864246

7.77727

7.984078

7.791732

7.840178

7.76801

7.850932

7.821814

7.907599

7.955659

7.680106

hep-th/0311268

Alexandre C. Tort

A A Bytsenko, V S Mendes and A C Tort

Thermodynamics of Abelian Gauge Fields in Real Hyperbolic Spaces

Six pages, Revtex4 style, no figures; small typo corrected

Int.J.Mod.Phys. A20 (2005) 2847-2857

10.1142/S0217751X05020823

null

hep-th

null

We work with $N-$dimensional compact real hyperbolic space $X_{\Gamma}$ with universal covering $M$ and fundamental group $\Gamma$. Therefore, $M$ is the symmetric space $G/K$, where $G=SO_1(N,1)$ and $K=SO(N)$ is a maximal compact subgroup of $G$. We regard $\Gamma$ as a discrete subgroup of $G$ acting isometrically on $M$, and we take $X_{\Gamma}$ to be the quotient space by that action: $X_{\Gamma}=\Gamma\backslash M = \Gamma\backslash G/K$. The natural Riemannian structure on $M$ (therefore on $X$) induced by the Killing form of $G$ gives rise to a connection $p-$form Laplacian ${\frak L}_p$ on the quotient vector bundle (associated with an irreducible representation of K). We study gauge theories based on abelian $p-$forms on the real compact hyperbolic manifold $X_{\Gamma}$. The spectral zeta function related to the operator ${\frak L}_p$, considering only the co-exact part of the $p-$forms and corresponding to the physical degrees of freedom, can be represented by the inverse Mellin transform of the heat kernel. The explicit thermodynamic fuctions related to skew-symmetric tensor fields are obtained by using the zeta-function regularization and the trace tensor kernel formula (which includes the identity and hyperbolic orbital integrals). Thermodynamic quantities in the high and low temperature expansions are calculated and new entropy/energy ratios established.

[ { "created": "Thu, 27 Nov 2003 16:48:53 GMT", "version": "v1" }, { "created": "Tue, 2 Dec 2003 14:30:28 GMT", "version": "v2" } ]

2009-11-10

[ [ "Bytsenko", "A A", "" ], [ "Mendes", "V S", "" ], [ "Tort", "A C", "" ] ]

We work with $N-$dimensional compact real hyperbolic space $X_{\Gamma}$ with universal covering $M$ and fundamental group $\Gamma$. Therefore, $M$ is the symmetric space $G/K$, where $G=SO_1(N,1)$ and $K=SO(N)$ is a maximal compact subgroup of $G$. We regard $\Gamma$ as a discrete subgroup of $G$ acting isometrically on $M$, and we take $X_{\Gamma}$ to be the quotient space by that action: $X_{\Gamma}=\Gamma\backslash M = \Gamma\backslash G/K$. The natural Riemannian structure on $M$ (therefore on $X$) induced by the Killing form of $G$ gives rise to a connection $p-$form Laplacian ${\frak L}_p$ on the quotient vector bundle (associated with an irreducible representation of K). We study gauge theories based on abelian $p-$forms on the real compact hyperbolic manifold $X_{\Gamma}$. The spectral zeta function related to the operator ${\frak L}_p$, considering only the co-exact part of the $p-$forms and corresponding to the physical degrees of freedom, can be represented by the inverse Mellin transform of the heat kernel. The explicit thermodynamic fuctions related to skew-symmetric tensor fields are obtained by using the zeta-function regularization and the trace tensor kernel formula (which includes the identity and hyperbolic orbital integrals). Thermodynamic quantities in the high and low temperature expansions are calculated and new entropy/energy ratios established.

7.765741

8.588063

8.382024

7.621193

8.340547

8.449688

8.419461

8.259312

7.727931

8.928889

7.781321

7.545996

7.734068

7.632179

7.51316

7.527102

7.773008

7.672242

7.601208

7.918834

7.42483

1111.1828

Neil Copland

Neil B. Copland

A Double Sigma Model for Double Field Theory

26 pages, v1: 37 pages, v2: references added, v3: updated to match published version - background and detail of calculations substantially condensed, motivation expanded, refs added, results unchanged

Journal of High Energy Physics, 2012, Volume 2012, Number 4, 44

10.1007/JHEP04(2012)044

null

hep-th

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

We define a sigma model with doubled target space and calculate its background field equations. These coincide with generalised metric equation of motion of double field theory, thus the double field theory is the effective field theory for the sigma model.

[ { "created": "Tue, 8 Nov 2011 08:42:58 GMT", "version": "v1" }, { "created": "Mon, 14 Nov 2011 06:37:44 GMT", "version": "v2" }, { "created": "Thu, 26 Apr 2012 01:14:11 GMT", "version": "v3" } ]

2012-04-27

[ [ "Copland", "Neil B.", "" ] ]

We define a sigma model with doubled target space and calculate its background field equations. These coincide with generalised metric equation of motion of double field theory, thus the double field theory is the effective field theory for the sigma model.

12.540723

10.65088

14.22748

9.722754

10.365975

9.740378

11.572392

9.616883

9.1803

14.476361

10.700042

10.023374

12.894353

9.96594

9.88868

9.65846

10.32997

9.995293

10.396488

13.652031

9.464375

hep-th/0202072

Oleg Lunin

Oleg Lunin, Samir D. Mathur

Statistical interpretation of Bekenstein entropy for systems with a stretched horizon

4 pages, 3 figures, Revtex; comment added in the discussion

Phys.Rev.Lett. 88 (2002) 211303

10.1103/PhysRevLett.88.211303

OHSTPY-HEP-T-02-002

hep-th gr-qc

null

For the 2-charge extremal holes in string theory we show that the Bekenstein entropy obtained from the area of the stretched horizon has a statistical interpretation as a `coarse graining entropy': different microstates give geometries that differ near r=0 and the stretched horizon cuts off the metric at r=b where these geometries start to differ.

[ { "created": "Mon, 11 Feb 2002 19:59:12 GMT", "version": "v1" }, { "created": "Tue, 12 Feb 2002 19:04:48 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lunin", "Oleg", "" ], [ "Mathur", "Samir D.", "" ] ]

For the 2-charge extremal holes in string theory we show that the Bekenstein entropy obtained from the area of the stretched horizon has a statistical interpretation as a `coarse graining entropy': different microstates give geometries that differ near r=0 and the stretched horizon cuts off the metric at r=b where these geometries start to differ.

20.797478

16.7341

19.427361

14.150511

17.274065

16.330013

13.856697

16.71332

15.254024

22.614164

15.92682

14.467456

15.646993

14.690878

13.786892

14.305975

14.819895

14.293895

14.784748

14.754616

15.795238

0706.2294

Niko Jokela

Kari Enqvist, Niko Jokela, Esko Keski-Vakkuri, Lotta Mether

On the origin of thermal string gas

16 pages, 4 figures, v2: references added

JCAP 0710:001,2007

10.1088/1475-7516/2007/10/001

HIP-2007-34/TH

hep-th astro-ph gr-qc

null

We investigate decaying D-branes as the origin of the thermal string gas of string gas cosmology. We consider initial configurations of low-dimensional branes and argue that they can time evolve to thermal string gas. We find that there is a range in the weak string coupling and fast brane decay time regimes, where the initial configuration could drive the evolution of the dilaton to values, where exactly three spacelike directions grow large.

[ { "created": "Fri, 15 Jun 2007 13:42:27 GMT", "version": "v1" }, { "created": "Mon, 17 Sep 2007 09:05:38 GMT", "version": "v2" } ]

2009-11-18

[ [ "Enqvist", "Kari", "" ], [ "Jokela", "Niko", "" ], [ "Keski-Vakkuri", "Esko", "" ], [ "Mether", "Lotta", "" ] ]

We investigate decaying D-branes as the origin of the thermal string gas of string gas cosmology. We consider initial configurations of low-dimensional branes and argue that they can time evolve to thermal string gas. We find that there is a range in the weak string coupling and fast brane decay time regimes, where the initial configuration could drive the evolution of the dilaton to values, where exactly three spacelike directions grow large.

23.36783

20.475336

25.001223

20.272333

21.245325

20.123859

19.671156

22.015753

19.539211

27.24897

17.969616

22.097425

20.588572

19.312895

20.470612

20.442329

20.488489

21.458481

20.423403

21.568451

19.843102

0708.2950

Anirban Basu

The D^4 R^4 term in type IIB string theory on T^2 and U-duality

25 pages, LaTeX

Phys.Rev.D77:106003,2008

10.1103/PhysRevD.77.106003

null

hep-th

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

We propose a manifestly U-duality invariant modular form for the D^4 R^4 interaction in type IIB string theory compactified on T^2. It receives perturbative contributions upto two loops, and non-perturbative contributions from D-instantons and (p,q) string instantons wrapping T^2. We provide evidence for this modular form by showing that the coefficients at tree level and at one loop precisely match those obtained using string perturbation theory. Using duality, parts of the perturbative amplitude are also shown to match exactly the results obtained from eleven dimensional supergravity compactified on T^3 at one loop. Decompactifying the theory to nine dimensions, we obtain a U-duality invariant modular form, whose coefficients at tree level and at one loop agree with string perturbation theory.

[ { "created": "Wed, 22 Aug 2007 02:56:52 GMT", "version": "v1" }, { "created": "Thu, 14 Aug 2008 14:27:43 GMT", "version": "v2" } ]

2008-11-26

[ [ "Basu", "Anirban", "" ] ]

We propose a manifestly U-duality invariant modular form for the D^4 R^4 interaction in type IIB string theory compactified on T^2. It receives perturbative contributions upto two loops, and non-perturbative contributions from D-instantons and (p,q) string instantons wrapping T^2. We provide evidence for this modular form by showing that the coefficients at tree level and at one loop precisely match those obtained using string perturbation theory. Using duality, parts of the perturbative amplitude are also shown to match exactly the results obtained from eleven dimensional supergravity compactified on T^3 at one loop. Decompactifying the theory to nine dimensions, we obtain a U-duality invariant modular form, whose coefficients at tree level and at one loop agree with string perturbation theory.

6.304487

4.548616

7.710699

5.010685

4.834199

4.791211

4.642253

5.11601

4.891806

7.424612

5.11666

5.488478

6.470464

5.583714

5.504314

5.694347

5.677474

5.679217

5.607791

6.487874

5.7669

1305.6737

Jan Rosseel

Roel Andringa, Eric A. Bergshoeff, Jan Rosseel and Ergin Sezgin

Newton-Cartan Supergravity

24 pages, v2 : references added

null

10.1088/0264-9381/30/20/205005

null

hep-th gr-qc

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

We construct a supersymmetric extension of three-dimensional Newton-Cartan gravity by gauging a super-Bargmann algebra. In order to obtain a non-trivial supersymmetric extension of the Bargmann algebra one needs at least two supersymmetries leading to a N=2 super-Bargmann algebra. Due to the fact that there is a universal Newtonian time, only one of the two supersymmetries can be gauged. The other supersymmetry is realized as a fermionic Stueckelberg symmetry and only survives as a global supersymmetry. We explicitly show how, in the frame of a Galilean observer, the system reduces to a supersymmetric extension of the Newton potential. The corresponding supersymmetry rules can only be defined, provided we also introduce a `dual Newton potential'. We comment on the four-dimensional case.

[ { "created": "Wed, 29 May 2013 09:23:39 GMT", "version": "v1" }, { "created": "Wed, 19 Jun 2013 16:39:49 GMT", "version": "v2" } ]

2015-06-16

[ [ "Andringa", "Roel", "" ], [ "Bergshoeff", "Eric A.", "" ], [ "Rosseel", "Jan", "" ], [ "Sezgin", "Ergin", "" ] ]

We construct a supersymmetric extension of three-dimensional Newton-Cartan gravity by gauging a super-Bargmann algebra. In order to obtain a non-trivial supersymmetric extension of the Bargmann algebra one needs at least two supersymmetries leading to a N=2 super-Bargmann algebra. Due to the fact that there is a universal Newtonian time, only one of the two supersymmetries can be gauged. The other supersymmetry is realized as a fermionic Stueckelberg symmetry and only survives as a global supersymmetry. We explicitly show how, in the frame of a Galilean observer, the system reduces to a supersymmetric extension of the Newton potential. The corresponding supersymmetry rules can only be defined, provided we also introduce a `dual Newton potential'. We comment on the four-dimensional case.

7.554088

7.591964

7.486607

7.101192

7.589597

7.661708

7.474176

7.037104

6.955513

7.343609

6.724543

7.275758

7.388405

7.054837

7.557669

7.279782

7.090815

6.897978

7.312357

7.693949

7.247813

2109.03826

Sandipan Kundu

Subleading Bounds on Chaos

35 pages, 5 figures; In v2 it has been clarified that the MSS bound and its generalizations can be derived from a weaker factorization assumption

null

10.1007/JHEP04(2022)010

null

hep-th cond-mat.stat-mech gr-qc nlin.CD quant-ph

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

Chaos, in quantum systems, can be diagnosed by certain out-of-time-order correlators (OTOCs) that obey the chaos bound of Maldacena, Shenker, and Stanford (MSS). We begin by deriving a dispersion relation for this class of OTOCs, implying that they must satisfy many more constraints beyond the MSS bound. Motivated by this observation, we perform a systematic analysis obtaining an infinite set of constraints on the OTOC. This infinite set includes the MSS bound as the leading constraint. In addition, it also contains subleading bounds that are highly constraining, especially when the MSS bound is saturated by the leading term. These new bounds, among other things, imply that the MSS bound cannot be exactly saturated over any duration of time, however short. Furthermore, we derive a sharp bound on the Lyapunov exponent $\lambda_2 \le \frac{6\pi}{\beta}$ of the subleading correction to maximal chaos.

[ { "created": "Wed, 8 Sep 2021 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 30 Dec 2021 22:06:19 GMT", "version": "v2" } ]

2022-04-20

[ [ "Kundu", "Sandipan", "" ] ]

Chaos, in quantum systems, can be diagnosed by certain out-of-time-order correlators (OTOCs) that obey the chaos bound of Maldacena, Shenker, and Stanford (MSS). We begin by deriving a dispersion relation for this class of OTOCs, implying that they must satisfy many more constraints beyond the MSS bound. Motivated by this observation, we perform a systematic analysis obtaining an infinite set of constraints on the OTOC. This infinite set includes the MSS bound as the leading constraint. In addition, it also contains subleading bounds that are highly constraining, especially when the MSS bound is saturated by the leading term. These new bounds, among other things, imply that the MSS bound cannot be exactly saturated over any duration of time, however short. Furthermore, we derive a sharp bound on the Lyapunov exponent $\lambda_2 \le \frac{6\pi}{\beta}$ of the subleading correction to maximal chaos.

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