LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1703.00526

Tib\'erio De Paula Netto

Ioseph L. Buchbinder, Tib\'erio de Paula Netto and Ilya L. Shapiro

Massive vector field on curved background: non-minimal coupling, quantization and divergences

19 pages. A few references added. Accepted in PRD

Phys. Rev. D 95, 085009 (2017)

10.1103/PhysRevD.95.085009

null

hep-th

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

We study the effective action for the massive vector field theory non-minimally coupled to external gravitational field. Such a theory is an interesting model both from the theoretical side and also due to the various phenomenological applications to cosmology and astrophysics. The present work pretends to initiate a systematic study of its properties at the quantum level, by exploring free massive vector coupled to an external symmetric second-rank tensor. Stueckelberg scalar field is used to restore the gauge invariance. After that, by using a special gauge fixing and non-local in external fields change of variables, we diagonalize the bilinear form of the action and develop a consistent procedure to study the effective action. As a result we derive a complete non-linear structure of divergences of the effective action and discuss its properties.

[ { "created": "Wed, 1 Mar 2017 21:49:47 GMT", "version": "v1" }, { "created": "Mon, 3 Apr 2017 17:58:59 GMT", "version": "v2" } ]

2017-04-19

[ [ "Buchbinder", "Ioseph L.", "" ], [ "Netto", "Tibério de Paula", "" ], [ "Shapiro", "Ilya L.", "" ] ]

We study the effective action for the massive vector field theory non-minimally coupled to external gravitational field. Such a theory is an interesting model both from the theoretical side and also due to the various phenomenological applications to cosmology and astrophysics. The present work pretends to initiate a systematic study of its properties at the quantum level, by exploring free massive vector coupled to an external symmetric second-rank tensor. Stueckelberg scalar field is used to restore the gauge invariance. After that, by using a special gauge fixing and non-local in external fields change of variables, we diagonalize the bilinear form of the action and develop a consistent procedure to study the effective action. As a result we derive a complete non-linear structure of divergences of the effective action and discuss its properties.

10.289361

10.763229

11.335416

9.250454

10.178532

9.874817

10.427228

10.267174

9.873527

11.661453

9.753182

9.758236

10.433427

10.153961

10.352089

9.940793

9.964417

9.972705

9.805582

10.223824

10.062434

1501.00446

Keun-young Kim

Keun-Young Kim, Kyung Kiu Kim, and Miok Park

A Simple Holographic Superconductor with Momentum Relaxation

v3: Minor chages, version accepted in JHEP

null

10.1007/JHEP04(2015)152

null

hep-th cond-mat.str-el

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

We study a holographic superconductor model with momentum relaxation due to massless scalar fields linear to spatial coordinates($\psi_I = \beta \delta_{Ii} x^i$), where $\beta$ is the strength of momentum relaxation. In addition to the original superconductor induced by the chemical potential($\mu$) at $\beta=0$, there exists a new type of superconductor induced by $\beta$ even at $\mu=0$. It may imply a new `pairing' mechanism of particles and antiparticles interacting with $\beta$, which may be interpreted as `impurity'. Two parameters $\mu$ and $\beta$ compete in forming a superconducting phase. As a result, the critical temperature behaves differently depending on $\beta/\mu$. It decreases when $\beta/\mu$ is small and increases when $\beta/\mu$ is large, which is a novel feature compared to other models. After analysing ground states and phase diagrams for various $\beta/\mu$, we study optical electric($\sigma$), thermoelectric($\alpha$), and thermal($\bar{\kappa}$) conductivities. When the system undergoes a phase transition from a normal to a superconducting phase, $1/\omega$ pole appears in the imaginary part of the electric conductivity, implying infinite DC conductivity. If $\beta/\mu <1$, at small $\omega$, a two-fluid model with an imaginary $1/\omega$ pole and the Drude peak works for $\sigma$, $\alpha$, and $\bar{\kappa}$, but if $\beta/\mu >1$ a non-Drude peak replaces the Drude peak. It is consistent with the coherent/incoherent metal transition in its metal phase. The Ferrell-Glover-Tinkham (FGT) sum rule is satisfied for all cases even when $\mu=0$.

[ { "created": "Fri, 2 Jan 2015 17:52:21 GMT", "version": "v1" }, { "created": "Wed, 14 Jan 2015 17:25:12 GMT", "version": "v2" }, { "created": "Mon, 24 Aug 2015 17:37:58 GMT", "version": "v3" } ]

2015-08-25

[ [ "Kim", "Keun-Young", "" ], [ "Kim", "Kyung Kiu", "" ], [ "Park", "Miok", "" ] ]

We study a holographic superconductor model with momentum relaxation due to massless scalar fields linear to spatial coordinates($\psi_I = \beta \delta_{Ii} x^i$), where $\beta$ is the strength of momentum relaxation. In addition to the original superconductor induced by the chemical potential($\mu$) at $\beta=0$, there exists a new type of superconductor induced by $\beta$ even at $\mu=0$. It may imply a new `pairing' mechanism of particles and antiparticles interacting with $\beta$, which may be interpreted as `impurity'. Two parameters $\mu$ and $\beta$ compete in forming a superconducting phase. As a result, the critical temperature behaves differently depending on $\beta/\mu$. It decreases when $\beta/\mu$ is small and increases when $\beta/\mu$ is large, which is a novel feature compared to other models. After analysing ground states and phase diagrams for various $\beta/\mu$, we study optical electric($\sigma$), thermoelectric($\alpha$), and thermal($\bar{\kappa}$) conductivities. When the system undergoes a phase transition from a normal to a superconducting phase, $1/\omega$ pole appears in the imaginary part of the electric conductivity, implying infinite DC conductivity. If $\beta/\mu <1$, at small $\omega$, a two-fluid model with an imaginary $1/\omega$ pole and the Drude peak works for $\sigma$, $\alpha$, and $\bar{\kappa}$, but if $\beta/\mu >1$ a non-Drude peak replaces the Drude peak. It is consistent with the coherent/incoherent metal transition in its metal phase. The Ferrell-Glover-Tinkham (FGT) sum rule is satisfied for all cases even when $\mu=0$.

5.85773

5.663729

6.748932

6.042243

5.904726

6.072063

6.198907

6.240011

6.007332

6.869154

5.735679

5.655864

5.997034

5.781366

5.82733

5.913765

5.951209

5.807815

5.838223

6.037978

5.806702

1205.3855

Dionysios Anninos

De Sitter Musings

Based on several talks given by the author. To be published in Int. J. Mod. Phys. A. v2: Minor typos corrected

null

10.1142/S0217751X1230013X

null

hep-th gr-qc

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

We discuss some of the issues that arise when considering the physics of asymptotically de Sitter spacetimes, and attempts to address them. Our development begins at the classical level, where several initial value problems are discussed, and ends with several proposals for holography in asymptotically de Sitter spacetimes. Throughout the paper we give a review of some basic notions such as the geometry of the Schwarzschild-de Sitter black hole, the Nariai limit, and quantum field theory in a fixed de Sitter background. We also briefly discuss some semiclassical aspects such as the nucleation of giant black holes and the Hartle-Hawking wavefunctional. We end by giving an overview of some open questions. An emphasis is placed on the differences between a static patch observer confined to live in a thermal cavity and the metaobserver who has access to a finite region of the future boundary.

[ { "created": "Thu, 17 May 2012 05:48:23 GMT", "version": "v1" }, { "created": "Sun, 26 May 2013 22:53:36 GMT", "version": "v2" } ]

2015-06-05

[ [ "Anninos", "Dionysios", "" ] ]

We discuss some of the issues that arise when considering the physics of asymptotically de Sitter spacetimes, and attempts to address them. Our development begins at the classical level, where several initial value problems are discussed, and ends with several proposals for holography in asymptotically de Sitter spacetimes. Throughout the paper we give a review of some basic notions such as the geometry of the Schwarzschild-de Sitter black hole, the Nariai limit, and quantum field theory in a fixed de Sitter background. We also briefly discuss some semiclassical aspects such as the nucleation of giant black holes and the Hartle-Hawking wavefunctional. We end by giving an overview of some open questions. An emphasis is placed on the differences between a static patch observer confined to live in a thermal cavity and the metaobserver who has access to a finite region of the future boundary.

9.302949

9.146576

9.842549

8.787394

8.917601

9.036592

9.028761

8.66766

9.112967

11.155237

8.646315

8.806018

9.158178

8.870425

8.980879

8.724221

8.795852

8.967467

8.811125

9.47613

8.949184

0705.3517

Mohammad Reza Setare

M R Setare

Holographic tachyon model of dark energy

13 pages, no figures

Phys.Lett.B653:116-121,2007

10.1016/j.physletb.2007.08.011

null

hep-th

null

In this paper we consider a correspondence between the holographic dark energy density and tachyon energy density in FRW universe. Then we reconstruct the potential and the dynamics of the tachyon field which describe tachyon cosmology.

[ { "created": "Thu, 24 May 2007 07:27:31 GMT", "version": "v1" }, { "created": "Tue, 11 Sep 2007 15:18:08 GMT", "version": "v2" } ]

2008-11-26

[ [ "Setare", "M R", "" ] ]

In this paper we consider a correspondence between the holographic dark energy density and tachyon energy density in FRW universe. Then we reconstruct the potential and the dynamics of the tachyon field which describe tachyon cosmology.

9.962394

5.323535

5.325871

5.248674

6.640481

5.859663

7.397018

4.519747

6.499621

5.927702

6.955371

7.125055

6.74073

6.429252

7.166965

7.546043

7.381995

6.224399

7.558399

6.556592

7.889733

1810.05842

Abouzeid Shalaby Prof.

Abouzeid M. Shalaby

Effective Action study of $\mathcal{PT}$-Symmetry Breaking for the non-Hermitian $\left( i\phi^{3}\right) _{6-\epsilon}$ Theory and The Yang-Lee Edge Singularity

13 pages and one figure

IJMPA),No.34, Issue No. 17(2019)

10.1142/S0217751X19500908.

null

hep-th

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

We use the effective potential method to study the $\mathcal{PT}$-symmetry breaking of the non-Hermitian $i\phi^{3}$ field theory in $6-\epsilon$ space-time dimensions. The critical exponents so obtained coincide with the exact values listed in the literature. We showed that at the point of $\mathcal{PT}$-symmetry breaking, the vacuum-vacuum amplitude is certainly zero and the fugacity is one which mimics a Yang-Lee edge singularity in magnetic systems. What makes this work interesting is that it takes into account problems which are always overlooked in the literature for the Yang-Lee model like stability, unitarity and generation of Stokes wedges at space-time dimensions for which divergences occur in the theory . Besides, here we make direct calculation of critical exponents from the dependance of the order parameter on external magnetic field not from the density of zeros of the partition function.

[ { "created": "Sat, 13 Oct 2018 10:47:40 GMT", "version": "v1" } ]

2019-07-03

[ [ "Shalaby", "Abouzeid M.", "" ] ]

We use the effective potential method to study the $\mathcal{PT}$-symmetry breaking of the non-Hermitian $i\phi^{3}$ field theory in $6-\epsilon$ space-time dimensions. The critical exponents so obtained coincide with the exact values listed in the literature. We showed that at the point of $\mathcal{PT}$-symmetry breaking, the vacuum-vacuum amplitude is certainly zero and the fugacity is one which mimics a Yang-Lee edge singularity in magnetic systems. What makes this work interesting is that it takes into account problems which are always overlooked in the literature for the Yang-Lee model like stability, unitarity and generation of Stokes wedges at space-time dimensions for which divergences occur in the theory . Besides, here we make direct calculation of critical exponents from the dependance of the order parameter on external magnetic field not from the density of zeros of the partition function.

12.190947

13.148812

13.555226

11.199247

12.492105

12.582565

12.41603

11.919636

11.044133

14.018312

11.99863

11.833778

12.106272

11.535994

11.803419

12.018482

11.669772

11.681102

11.694771

12.269304

11.750459

hep-th/0512074

Mokhtar Hassaine

Eloy Ay\'on-Beato and Mokhtar Hassa\"ine

Exploring AdS Waves Via Nonminimal Coupling

26 pages, 1 figure. Minor changes

Phys.Rev.D73:104001,2006

10.1103/PhysRevD.73.104001

CECS-PHY-05-10

hep-th gr-qc

null

We consider nonminimally coupled scalar fields to explore the Siklos spacetimes in three dimensions. Their interpretation as exact gravitational waves propagating on AdS restrict the source to behave as a pure radiation field. We show that the related pure radiation constraints single out a unique self-interaction potential depending on one coupling constant. For a vanishing coupling constant, this potential reduces to a mass term with a mass fixed in terms of the nonminimal coupling parameter. This mass dependence allows the existence of several free cases including massless and tachyonic sources. There even exists a particular value of the nonminimal coupling parameter for which the corresponding mass exactly compensates the contribution generated by the negative scalar curvature, producing a genuinely massless field in this curved background. The self-interacting case is studied in detail for the conformal coupling. The resulting gravitational wave is formed by the superposition of the free and the self-interaction contributions, except for a critical value of the coupling constant where a non-perturbative effect relating the strong and weak regimes of the source appears. We establish a correspondence between the scalar source supporting an AdS wave and a pp wave by showing that their respective pure radiation constraints are conformally related, while their involved backgrounds are not. Finally, we consider the AdS waves for topologically massive gravity and its limit to conformal gravity.

[ { "created": "Tue, 6 Dec 2005 16:53:37 GMT", "version": "v1" }, { "created": "Fri, 5 May 2006 14:11:24 GMT", "version": "v2" } ]

2016-08-16

[ [ "Ayón-Beato", "Eloy", "" ], [ "Hassaïne", "Mokhtar", "" ] ]

We consider nonminimally coupled scalar fields to explore the Siklos spacetimes in three dimensions. Their interpretation as exact gravitational waves propagating on AdS restrict the source to behave as a pure radiation field. We show that the related pure radiation constraints single out a unique self-interaction potential depending on one coupling constant. For a vanishing coupling constant, this potential reduces to a mass term with a mass fixed in terms of the nonminimal coupling parameter. This mass dependence allows the existence of several free cases including massless and tachyonic sources. There even exists a particular value of the nonminimal coupling parameter for which the corresponding mass exactly compensates the contribution generated by the negative scalar curvature, producing a genuinely massless field in this curved background. The self-interacting case is studied in detail for the conformal coupling. The resulting gravitational wave is formed by the superposition of the free and the self-interaction contributions, except for a critical value of the coupling constant where a non-perturbative effect relating the strong and weak regimes of the source appears. We establish a correspondence between the scalar source supporting an AdS wave and a pp wave by showing that their respective pure radiation constraints are conformally related, while their involved backgrounds are not. Finally, we consider the AdS waves for topologically massive gravity and its limit to conformal gravity.

10.640218

10.725801

10.810739

10.486826

10.530996

11.168471

11.598561

10.44113

10.617175

11.386293

11.467849

10.806831

10.752692

10.615236

10.594678

11.147397

10.70308

10.584875

10.766458

10.449841

10.613645

2008.07950

Clement Berthiere

Cl\'ement Berthiere, Hongjie Chen, Yuefeng Liu, and Bin Chen

Topological reflected entropy in Chern-Simons theories

15+7 pages, 10 figures; v2: References added and typos corrected, matches published version

Phys. Rev. B 103, 035149 (2021)

10.1103/PhysRevB.103.035149

null

hep-th cond-mat.str-el

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

We study the reflected entropy between two spatial regions in $(2+1)$-dimensional Chern-Simons theories. Taking advantage of its replica trick formulation, the reflected entropy is computed using the edge theory approach and the surgery method. Both approaches yield identical results. In all cases considered in this paper, we find that the reflected entropy coincides with the mutual information, even though their R\'enyi versions differ in general. We also compute the odd entropy with the edge theory method. The reflected entropy and the odd entropy both possess a simple holographic dual interpretation in terms of entanglement wedge cross-section. We show that in $(2+1)$-dimensional Chern-Simons theories, both quantities are related in a similar manner as in two-dimensional holographic conformal field theories (CFTs), up to a classical Shannon piece.

[ { "created": "Tue, 18 Aug 2020 14:27:24 GMT", "version": "v1" }, { "created": "Sat, 30 Jan 2021 22:43:56 GMT", "version": "v2" } ]

2021-02-03

[ [ "Berthiere", "Clément", "" ], [ "Chen", "Hongjie", "" ], [ "Liu", "Yuefeng", "" ], [ "Chen", "Bin", "" ] ]

We study the reflected entropy between two spatial regions in $(2+1)$-dimensional Chern-Simons theories. Taking advantage of its replica trick formulation, the reflected entropy is computed using the edge theory approach and the surgery method. Both approaches yield identical results. In all cases considered in this paper, we find that the reflected entropy coincides with the mutual information, even though their R\'enyi versions differ in general. We also compute the odd entropy with the edge theory method. The reflected entropy and the odd entropy both possess a simple holographic dual interpretation in terms of entanglement wedge cross-section. We show that in $(2+1)$-dimensional Chern-Simons theories, both quantities are related in a similar manner as in two-dimensional holographic conformal field theories (CFTs), up to a classical Shannon piece.

7.172882

6.291017

8.12421

6.233357

6.370033

6.346574

6.589223

6.223869

6.310324

8.182948

6.294602

6.419908

7.250246

6.577425

6.542208

6.452297

6.339491

6.323252

6.555427

7.273835

6.394979

0903.5517

Duminda Dahanayake MSci ARCS

L. Borsten, D. Dahanayake, M. J. Duff, and W. Rubens

Black holes admitting a Freudenthal dual

32 pages revtex, 10 tables; minor corrections, references added

Phys.Rev.D80:026003,2009

10.1103/PhysRevD.80.026003

Imperial/TP/2009/mjd/1

hep-th gr-qc math.RA

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

The quantised charges x of four dimensional stringy black holes may be assigned to elements of an integral Freudenthal triple system whose automorphism group is the corresponding U-duality and whose U-invariant quartic norm Delta(x) determines the lowest order entropy. Here we introduce a Freudenthal duality x -> \tilde{x}, for which \tilde{\tilde{x}}=-x. Although distinct from U-duality it nevertheless leaves Delta(x) invariant. However, the requirement that \tilde{x} be integer restricts us to the subset of black holes for which Delta(x) is necessarily a perfect square. The issue of higher-order corrections remains open as some, but not all, of the discrete U-duality invariants are Freudenthal invariant. Similarly, the quantised charges A of five dimensional black holes and strings may be assigned to elements of an integral Jordan algebra, whose cubic norm N(A) determines the lowest order entropy. We introduce an analogous Jordan dual A*, with N(A) necessarily a perfect cube, for which A**=A and which leaves N(A) invariant. The two dualities are related by a 4D/5D lift.

[ { "created": "Tue, 31 Mar 2009 17:30:41 GMT", "version": "v1" }, { "created": "Fri, 3 Apr 2009 17:01:35 GMT", "version": "v2" }, { "created": "Thu, 23 Apr 2009 15:43:54 GMT", "version": "v3" } ]

2009-07-21

[ [ "Borsten", "L.", "" ], [ "Dahanayake", "D.", "" ], [ "Duff", "M. J.", "" ], [ "Rubens", "W.", "" ] ]

The quantised charges x of four dimensional stringy black holes may be assigned to elements of an integral Freudenthal triple system whose automorphism group is the corresponding U-duality and whose U-invariant quartic norm Delta(x) determines the lowest order entropy. Here we introduce a Freudenthal duality x -> \tilde{x}, for which \tilde{\tilde{x}}=-x. Although distinct from U-duality it nevertheless leaves Delta(x) invariant. However, the requirement that \tilde{x} be integer restricts us to the subset of black holes for which Delta(x) is necessarily a perfect square. The issue of higher-order corrections remains open as some, but not all, of the discrete U-duality invariants are Freudenthal invariant. Similarly, the quantised charges A of five dimensional black holes and strings may be assigned to elements of an integral Jordan algebra, whose cubic norm N(A) determines the lowest order entropy. We introduce an analogous Jordan dual A*, with N(A) necessarily a perfect cube, for which A**=A and which leaves N(A) invariant. The two dualities are related by a 4D/5D lift.

8.860864

9.384171

10.414648

8.228226

8.156987

8.94391

8.416523

8.220309

8.382588

9.918724

8.282117

8.715173

8.466171

8.445634

8.503205

8.500751

8.867204

8.579398

8.303808

8.390439

8.351696

0909.1203

Shahin Rouhani

Ali Hosseiny and Shahin Rouhani

Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions

13 pages, no figures. Some references added, typos corrected, minor changes in content

J.Math.Phys.51:052307,2010

10.1063/1.3371191

null

hep-th

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

We show that a class of nonrelativistic algebras including non centrally-extended Schrodinger algebra and Galilean Conformal Algebra (GCA) has an affine extension in 2+1 hitherto unknown. This extension arises out of the conformal symmetries of the two dimensional complex plain. We suggest that this affine form may be the symmetry that explains the relaxation of some classical phenomena towards their critical point. This affine algebra admits a central extension and maybe realized in the bulk. The bulk realization suggests that this algebra may be derived by looking at the asymptotic symmetry of an AdS theory. This suggests that AdS/CFT duality may take on a special form in four dimensions.

[ { "created": "Mon, 7 Sep 2009 10:24:33 GMT", "version": "v1" }, { "created": "Mon, 28 Sep 2009 05:52:03 GMT", "version": "v2" } ]

2014-11-20

[ [ "Hosseiny", "Ali", "" ], [ "Rouhani", "Shahin", "" ] ]

We show that a class of nonrelativistic algebras including non centrally-extended Schrodinger algebra and Galilean Conformal Algebra (GCA) has an affine extension in 2+1 hitherto unknown. This extension arises out of the conformal symmetries of the two dimensional complex plain. We suggest that this affine form may be the symmetry that explains the relaxation of some classical phenomena towards their critical point. This affine algebra admits a central extension and maybe realized in the bulk. The bulk realization suggests that this algebra may be derived by looking at the asymptotic symmetry of an AdS theory. This suggests that AdS/CFT duality may take on a special form in four dimensions.

13.863442

13.021939

15.196654

12.646283

13.551191

13.153308

13.466855

12.729203

12.954044

13.92205

12.632108

13.07032

13.875496

12.818626

12.892059

12.504695

13.011045

12.953035

12.487738

13.640259

13.035621

hep-th/9910246

Riccioni Fabio

Fabio Riccioni

Abelian Vectors and Self-Dual Tensors in Six-Dimensional Supergravity

LaTeX file, 10 pages. Some equations, previously written with wrong notations, are corrected

Phys.Lett. B474 (2000) 79-84

10.1016/S0370-2693(00)00003-4

ROM2F-99/41

hep-th

null

In this note we describe the most general coupling of {\it abelian} vector and tensor multiplets to six-dimensional $(1,0)$ supergravity. As was recently pointed out, it is of interest to consider more general Chern-Simons couplings to abelian vectors of the type $H^{r}=d B^{r}-1/2 c^{rab} A^{a}d A^{b}$, with $c^{r}$ matrices that may not be simultaneously diagonalized. We show that these couplings can be related to Green-Schwarz terms of the form $B^r c_r^{ab} F^a F^b$, and how the complete local Lagrangian, that embodies factorized gauge and supersymmetry anomalies (to be disposed of by fermion loops) is uniquely determined by Wess-Zumino consistency conditions, aside from an arbitrary quartic coupling for the gauginos.

[ { "created": "Fri, 29 Oct 1999 18:03:38 GMT", "version": "v1" }, { "created": "Thu, 2 Mar 2000 18:53:04 GMT", "version": "v2" }, { "created": "Mon, 27 Nov 2000 09:58:25 GMT", "version": "v3" } ]

2009-10-31

[ [ "Riccioni", "Fabio", "" ] ]

In this note we describe the most general coupling of {\it abelian} vector and tensor multiplets to six-dimensional $(1,0)$ supergravity. As was recently pointed out, it is of interest to consider more general Chern-Simons couplings to abelian vectors of the type $H^{r}=d B^{r}-1/2 c^{rab} A^{a}d A^{b}$, with $c^{r}$ matrices that may not be simultaneously diagonalized. We show that these couplings can be related to Green-Schwarz terms of the form $B^r c_r^{ab} F^a F^b$, and how the complete local Lagrangian, that embodies factorized gauge and supersymmetry anomalies (to be disposed of by fermion loops) is uniquely determined by Wess-Zumino consistency conditions, aside from an arbitrary quartic coupling for the gauginos.

10.368645

10.363619

11.954428

9.63063

10.856386

11.804792

10.860922

10.058257

10.092645

12.751186

9.600797

9.697998

9.686165

9.60678

9.328044

9.702878

9.625012

9.52951

9.585439

10.747557

9.566903

hep-th/0310164

Varghese Mathai

V. Mathai, M.K. Murray, D. Stevenson (University of Adelaide)

Type I D-branes in an H-flux and twisted KO-theory

23 pages, Latex2e, 2 new references added

JHEP 0311 (2003) 053

10.1088/1126-6708/2003/11/053

null

hep-th

null

Witten has argued that charges of Type I D-branes in the presence of an H-flux, take values in twisted KO-theory. We begin with the study of real bundle gerbes and their holonomy. We then introduce the notion of real bundle gerbe KO-theory which we establish is a geometric realization of twisted KO-theory. We examine the relation with twisted K-theory, the Chern character and provide some examples. We conclude with some open problems.

[ { "created": "Fri, 17 Oct 2003 11:30:04 GMT", "version": "v1" }, { "created": "Fri, 24 Oct 2003 01:19:34 GMT", "version": "v2" } ]

2007-05-23

[ [ "Mathai", "V.", "", "University of Adelaide" ], [ "Murray", "M. K.", "", "University of Adelaide" ], [ "Stevenson", "D.", "", "University of Adelaide" ] ]

Witten has argued that charges of Type I D-branes in the presence of an H-flux, take values in twisted KO-theory. We begin with the study of real bundle gerbes and their holonomy. We then introduce the notion of real bundle gerbe KO-theory which we establish is a geometric realization of twisted KO-theory. We examine the relation with twisted K-theory, the Chern character and provide some examples. We conclude with some open problems.

12.299178

9.843714

12.973724

9.361076

9.256768

10.577775

11.010538

9.740248

9.677905

11.922285

9.474252

10.116929

10.419439

9.607283

9.702607

9.742591

9.163702

9.516077

9.603951

10.112947

9.927216

2110.15009

Marcin Pi\k{a}tek dr.

M.R. Piatek, R.G. Nazmitdinov, A. Puente, A.R. Pietrykowski

Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models

49 pages, several diagrams and tables; conformal to version accepted for publication in JHEP

null

10.1007/JHEP04(2022)098

null

hep-th cond-mat.mes-hall

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

Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that in the (classical) limit of large central charge of the Virasoro algebra and large external, and intermediate conformal weights with fixed ratios of these parameters Virasoro blocks exponentiate to functions known as Zamolodchikovs' classical blocks. The latter are special functions which have awesome mathematical and physical applications. Uniformization, monodromy problems, black holes physics, quantum gravity, entanglement, quantum chaos, holography, N=2 gauge theory and quantum integrable systems (QIS) are just some of contexts, where classical Virasoro blocks are in use. In this paper, exploiting known connections between power series and integral representations of (quantum) Virasoro blocks, we propose new finite closed formulae for certain multi-point classical Virasoro blocks on the sphere. Indeed, combining classical limit of Virasoro blocks expansions with a saddle point asymptotics of Dotsenko-Fateev (DF) integrals one can relate classical Virasoro blocks with a critical value of the "Dotsenko-Fateev matrix model action". The latter is the "DF action" evaluated on a solution of saddle point equations which take the form of Bethe equations for certain QIS (Gaudin spin models). A link with integrable models is our main motivation for this research line. ... .

[ { "created": "Thu, 28 Oct 2021 10:45:58 GMT", "version": "v1" }, { "created": "Fri, 5 Nov 2021 15:07:29 GMT", "version": "v2" }, { "created": "Tue, 29 Mar 2022 01:01:41 GMT", "version": "v3" } ]

2022-05-04

[ [ "Piatek", "M. R.", "" ], [ "Nazmitdinov", "R. G.", "" ], [ "Puente", "A.", "" ], [ "Pietrykowski", "A. R.", "" ] ]

Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that in the (classical) limit of large central charge of the Virasoro algebra and large external, and intermediate conformal weights with fixed ratios of these parameters Virasoro blocks exponentiate to functions known as Zamolodchikovs' classical blocks. The latter are special functions which have awesome mathematical and physical applications. Uniformization, monodromy problems, black holes physics, quantum gravity, entanglement, quantum chaos, holography, N=2 gauge theory and quantum integrable systems (QIS) are just some of contexts, where classical Virasoro blocks are in use. In this paper, exploiting known connections between power series and integral representations of (quantum) Virasoro blocks, we propose new finite closed formulae for certain multi-point classical Virasoro blocks on the sphere. Indeed, combining classical limit of Virasoro blocks expansions with a saddle point asymptotics of Dotsenko-Fateev (DF) integrals one can relate classical Virasoro blocks with a critical value of the "Dotsenko-Fateev matrix model action". The latter is the "DF action" evaluated on a solution of saddle point equations which take the form of Bethe equations for certain QIS (Gaudin spin models). A link with integrable models is our main motivation for this research line. ... .

9.285855

9.132887

11.672875

9.248542

10.58652

10.049942

9.524357

9.391912

9.129879

12.348219

9.181351

9.156556

9.708251

8.898715

9.273474

9.160078

9.231759

9.177996

9.130155

9.550347

9.043865

0812.1596

Luis Granda

L. N. Granda

Reconstructing the f(R) gravity from the holographic principle

13 pages, 1 figure, to appear in special volume Problems of Modern Cosmology, TSPU publishing

null

hep-th

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

An holographic f(R) gravity model of dark energy is proposed. The correspondence between the f(R) geometrical effective energy density with the holographic density, allows the reconstruction of the f(R) gravity in flat FRW background in the Einstein frame. The proposed infrared cut-off for the holographic energy density depends on two parameters which are fit using the luminosity versus redshift data, allowing a suitable reconstruction in two representative cases of the EoS parameter: for $\omega>-1$ and $\omega<-1$.

[ { "created": "Tue, 9 Dec 2008 00:02:04 GMT", "version": "v1" } ]

2008-12-10

[ [ "Granda", "L. N.", "" ] ]

An holographic f(R) gravity model of dark energy is proposed. The correspondence between the f(R) geometrical effective energy density with the holographic density, allows the reconstruction of the f(R) gravity in flat FRW background in the Einstein frame. The proposed infrared cut-off for the holographic energy density depends on two parameters which are fit using the luminosity versus redshift data, allowing a suitable reconstruction in two representative cases of the EoS parameter: for $\omega>-1$ and $\omega<-1$.

13.037165

12.420969

10.415088

10.296717

11.359663

11.583012

12.192718

9.929736

10.559515

11.269966

10.9838

11.278632

10.418978

10.476551

11.141026

10.460342

10.878298

10.204449

10.893649

10.755087

11.10637

2303.07164

Sven Bjarke Gudnason

Stefano Bolognesi, Sven Bjarke Gudnason, Giacomo Santoni

Aspects of the Electroweak Skyrmion

LaTeX: 37 pages, 10 figures; V2: comments added, typos corrected

JHEP 2305:93, 2023

10.1007/JHEP05(2023)093

IFUP-TH-2023

hep-th hep-ph

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

We consider certain aspects of the electroweak Skyrmion (EWS). We discuss the case of EWS with dynamical Higgs and find numerical solutions for various values of the cutoff scale. Our results are qualitatively similar to the ones present in the literature, but we find a considerable lower mass than previous studies. We discuss the quantization of the light degrees of freedom and prove that the EWS is a boson. We consider the interaction between fermions and the EWS and the transfer of fermionic charge onto the soliton. We consider the large distance structure of the soliton and the interaction between two well separated EWSs. We find that the classical EWS has a magnetic dipole moment. We discuss the lifetime of the metastable soliton. Finally, we discuss some phenomenological and cosmological consequences of our results.

[ { "created": "Mon, 13 Mar 2023 15:08:13 GMT", "version": "v1" }, { "created": "Fri, 12 May 2023 07:27:31 GMT", "version": "v2" } ]

2023-05-15

[ [ "Bolognesi", "Stefano", "" ], [ "Gudnason", "Sven Bjarke", "" ], [ "Santoni", "Giacomo", "" ] ]

We consider certain aspects of the electroweak Skyrmion (EWS). We discuss the case of EWS with dynamical Higgs and find numerical solutions for various values of the cutoff scale. Our results are qualitatively similar to the ones present in the literature, but we find a considerable lower mass than previous studies. We discuss the quantization of the light degrees of freedom and prove that the EWS is a boson. We consider the interaction between fermions and the EWS and the transfer of fermionic charge onto the soliton. We consider the large distance structure of the soliton and the interaction between two well separated EWSs. We find that the classical EWS has a magnetic dipole moment. We discuss the lifetime of the metastable soliton. Finally, we discuss some phenomenological and cosmological consequences of our results.

8.53028

8.988357

8.250821

7.880215

8.326597

8.112829

8.281275

8.022973

7.89464

8.427241

7.783124

8.347229

8.066546

8.094361

8.363299

8.223945

8.459117

8.506243

8.171759

8.199628

8.329389

hep-th/9610233

Berndt Mueller

Sergei G. Matinyan and Berndt M\"uller

Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach

12 pages, contribution to a special volume of ``Foundations in Physics'' commemorating L.C. Biedenharn (minor corrections)

Found.Phys. 27 (1997) 1237-1255

10.1007/BF02551526

DUKE-TH-96-132

hep-th

null

We discuss the intimate connection between the chaotic dynamics of a classical field theory and the instability of the one-loop effective action of the associated quantum field theory. Using the example of massless scalar electrodynamics, we show how the radiatively induced spontaneous symmetry breaking stabilizes the vacuum state against chaos, and we speculate that monopole condensation can have the same effect in non-Abelian gauge theories.

[ { "created": "Tue, 29 Oct 1996 19:39:48 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 1996 16:03:23 GMT", "version": "v2" } ]

2009-10-30

[ [ "Matinyan", "Sergei G.", "" ], [ "Müller", "Berndt", "" ] ]

We discuss the intimate connection between the chaotic dynamics of a classical field theory and the instability of the one-loop effective action of the associated quantum field theory. Using the example of massless scalar electrodynamics, we show how the radiatively induced spontaneous symmetry breaking stabilizes the vacuum state against chaos, and we speculate that monopole condensation can have the same effect in non-Abelian gauge theories.

8.374684

7.690259

8.224841

7.98938

7.943942

7.70936

7.984617

7.347292

7.630009

8.619499

7.618172

8.259185

7.870718

7.819554

8.081874

8.365601

8.190546

8.01389

7.818892

7.847913

7.894406

1501.05331

Kevin Falls

Renormalisation of Newton's constant

v3: Conforms to PRD version. New section on parameterisation independence of Newtonian potential added. Extended discussion of the beta function in 2 + epsilon dimensions

Phys. Rev. D 92, 124057 (2015)

10.1103/PhysRevD.92.124057

null

hep-th gr-qc

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

The problem of obtaining a gauge independent beta function for Newton's constant is addressed. By a specific parameterisation of metric fluctuations a gauge independent functional integral is constructed for the semiclassical theory around an arbitrary Einstein space. The effective action then has the property that only physical polarisations of the graviton contribute, while all other modes cancel with the functional measure. We are then able to compute a gauge independent beta function for Newton's constant in $d$-dimensions to one-loop order. No Landau pole is present provided $N_g < 18$, where $N_g = d(d-3)/2$ is the number of polarisations of the graviton. While adding a large number of matter fields can change this picture, the absence of a pole persists for the particle content of the standard model in four spacetime dimensions.

[ { "created": "Wed, 21 Jan 2015 21:34:21 GMT", "version": "v1" }, { "created": "Wed, 15 Jul 2015 15:26:32 GMT", "version": "v2" }, { "created": "Fri, 8 Jan 2016 14:48:53 GMT", "version": "v3" } ]

2016-01-11

[ [ "Falls", "Kevin", "" ] ]

The problem of obtaining a gauge independent beta function for Newton's constant is addressed. By a specific parameterisation of metric fluctuations a gauge independent functional integral is constructed for the semiclassical theory around an arbitrary Einstein space. The effective action then has the property that only physical polarisations of the graviton contribute, while all other modes cancel with the functional measure. We are then able to compute a gauge independent beta function for Newton's constant in $d$-dimensions to one-loop order. No Landau pole is present provided $N_g < 18$, where $N_g = d(d-3)/2$ is the number of polarisations of the graviton. While adding a large number of matter fields can change this picture, the absence of a pole persists for the particle content of the standard model in four spacetime dimensions.

9.837145

9.473046

9.479312

9.450745

9.404002

9.347381

9.062897

8.919076

9.143964

9.777232

9.15335

9.030184

9.037856

8.988221

8.982626

8.998556

9.245296

9.001977

8.88234

9.117812

8.96272

hep-th/9711027

null

Nemanja Kaloper, Ian I. Kogan, Keith A. Olive

Cos(M)ological Solutions in M- and String Theory

29 pages, latex, 15 ps figures, restored a missing sign in terms proportional to $Q^2$, leading to some alterations in quantitative statements, but without qualitative changes in conclusions

Phys.Rev.D57:7340-7353,1998; Erratum-ibid.D60:049901,1999

10.1103/PhysRevD.57.7340 10.1103/PhysRevD.60.049901

SU-ITP-97/44, OUTP 97-38P, UMN-TH-1609/97

hep-th astro-ph gr-qc

null

We consider solutions to the cosmological equations of motion in 11 dimensions with and without 4-form charges. We show explicitly the correspondence between some of these solutions and known solutions in 10 dimensional string gravity. New solutions involving combinations of 4-form charges are explored. We also speculate on the possibility of removing curvature singularities present in 10D theories by oxidizing to 11D.

[ { "created": "Wed, 5 Nov 1997 16:55:15 GMT", "version": "v1" }, { "created": "Thu, 6 Nov 1997 02:36:22 GMT", "version": "v2" }, { "created": "Fri, 24 Apr 1998 20:25:43 GMT", "version": "v3" }, { "created": "Fri, 7 May 1999 02:07:17 GMT", "version": "v4" } ]

2014-11-18

[ [ "Kaloper", "Nemanja", "" ], [ "Kogan", "Ian I.", "" ], [ "Olive", "Keith A.", "" ] ]

We consider solutions to the cosmological equations of motion in 11 dimensions with and without 4-form charges. We show explicitly the correspondence between some of these solutions and known solutions in 10 dimensional string gravity. New solutions involving combinations of 4-form charges are explored. We also speculate on the possibility of removing curvature singularities present in 10D theories by oxidizing to 11D.

13.955341

11.376232

11.636888

10.932363

11.236217

11.423546

10.070844

10.491615

10.934915

14.180288

10.997525

11.75005

11.554579

11.246129

11.431634

11.047504

11.292032

11.162013

11.461625

11.554775

11.08119

hep-th/9312186

T. Schucker

Thomas Sch\"ucker and Jean-Marc Zylinski

Connes' Model Building Kit

35 pages, LATeX, CPT-93/P.2960

J.Geom.Phys. 16 (1995) 207-236

10.1016/0393-0440(94)00026-Z

null

hep-th

null

Alain Connes' applications of non-commutative geometry to interaction physics are described for the purpose of model building.

[ { "created": "Thu, 23 Dec 1993 14:11:52 GMT", "version": "v1" } ]

2015-06-26

[ [ "Schücker", "Thomas", "" ], [ "Zylinski", "Jean-Marc", "" ] ]

Alain Connes' applications of non-commutative geometry to interaction physics are described for the purpose of model building.

23.167854

21.226156

21.036657

17.442963

20.411125

20.217024

18.229813

17.659649

16.658051

20.294991

17.638594

16.280397

18.252893

17.14052

16.582201

16.447132

16.951601

17.156738

18.01837

17.590532

19.930883

2004.10867

Vasco Gon\c{c}alves

Thiago Fleury, Vasco Goncalves

Decagon at Two Loops

24 pages + appendices + 12 nice figures

null

10.1007/JHEP07(2020)030

null

hep-th

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

We have computed the simplest five point function in $\mathcal{N} = 4$ SYM at two loops using the hexagonalization approach to correlation functions. Along the way we have determined all two-particle mirror contributions at two loops and we have computed all the integrals involved in the final result. As a test of our results we computed a few four-point functions and they agree with the perturbative results computed previously. We have also obtained $l$ loop results for some parts of the two-particle contributions with $l$ arbitrary. We also derive differential equations for a class of integrals that should appear at higher loops in the five point function.

[ { "created": "Wed, 22 Apr 2020 21:21:53 GMT", "version": "v1" } ]

2020-08-26

[ [ "Fleury", "Thiago", "" ], [ "Goncalves", "Vasco", "" ] ]

We have computed the simplest five point function in $\mathcal{N} = 4$ SYM at two loops using the hexagonalization approach to correlation functions. Along the way we have determined all two-particle mirror contributions at two loops and we have computed all the integrals involved in the final result. As a test of our results we computed a few four-point functions and they agree with the perturbative results computed previously. We have also obtained $l$ loop results for some parts of the two-particle contributions with $l$ arbitrary. We also derive differential equations for a class of integrals that should appear at higher loops in the five point function.

9.245777

8.479231

10.896866

8.611649

8.91602

8.225497

8.903514

7.804788

7.911401

11.249258

8.807491

8.329098

9.79036

8.702356

8.597158

8.51757

8.156075

8.409118

8.689032

10.060244

8.375689

hep-th/9609129

Christian Wiesendanger

C. Wiesendanger

Resummation of the Two Distinct Large Logarithms in the Broken $O(N)$-symmetric $\phi^4$-model

11 pages, LaTeX. Talk given at The Third International Conference Renormalization Group - 96, Dubna, Russia, 26 - 31 August 1996

null

DIAS-STP 96-16

hep-th

null

The loop-expansion of the effective potential in the $O(N)$-symmetric $\phi^4$-model contains generically two types of large logarithms. To resum those systematically a new minimal two-scale subtraction scheme $\tMS$ is introduced in an $O(N)$-invariant generalization of $\MS$. As the $\tMS$ beta functions depend on the renormalization scale-ratio a large logarithms resummation is performed on them. Two partial $\tMS$ renormalization group equations are derived to turn the beta functions into $\tMS$ running parameters. With the use of standard perturbative boundary conditions, which become applicable in $\tMS$, the leading logarithmic $\tMS$ effective potential is computed. The calculation indicates that there is no stable vacuum in the broken phase of the theory for $1<N\leq 4$.

[ { "created": "Mon, 16 Sep 1996 17:41:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wiesendanger", "C.", "" ] ]

The loop-expansion of the effective potential in the $O(N)$-symmetric $\phi^4$-model contains generically two types of large logarithms. To resum those systematically a new minimal two-scale subtraction scheme $\tMS$ is introduced in an $O(N)$-invariant generalization of $\MS$. As the $\tMS$ beta functions depend on the renormalization scale-ratio a large logarithms resummation is performed on them. Two partial $\tMS$ renormalization group equations are derived to turn the beta functions into $\tMS$ running parameters. With the use of standard perturbative boundary conditions, which become applicable in $\tMS$, the leading logarithmic $\tMS$ effective potential is computed. The calculation indicates that there is no stable vacuum in the broken phase of the theory for $1<N\leq 4$.

9.860882

11.150333

9.681289

9.304379

10.663765

10.684011

10.606157

9.907115

9.657992

10.094379

10.007151

9.881791

9.647318

9.845249

9.853404

9.93487

9.588867

9.776223

9.572948

9.431018

9.468803

1110.4277

Yuya Sasai

Transport coefficients of D1-D5-P system and the membrane paradigm

11 pages, no figure; v2: minor corrections, accepted for publication in Physical Review D

Phys. Rev. D 85, 026002 (2012)

10.1103/PhysRevD.85.026002

HIP-2011-25/TH

hep-th

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

I discuss a correspondence between string theory and the black hole membrane paradigm in the context of the D1-D5-P system. By using the Kubo formula, I calculate transport coefficients of the effective string model induced by two kinds of minimal scalars. Then, I show that these transport coefficients exactly agree with the corresponding membrane transport coefficients of a five-dimensional near-extremal black hole with three charges.

[ { "created": "Wed, 19 Oct 2011 13:26:30 GMT", "version": "v1" }, { "created": "Thu, 12 Jan 2012 05:48:11 GMT", "version": "v2" } ]

2013-05-30

[ [ "Sasai", "Yuya", "" ] ]

I discuss a correspondence between string theory and the black hole membrane paradigm in the context of the D1-D5-P system. By using the Kubo formula, I calculate transport coefficients of the effective string model induced by two kinds of minimal scalars. Then, I show that these transport coefficients exactly agree with the corresponding membrane transport coefficients of a five-dimensional near-extremal black hole with three charges.

9.386067

7.395556

9.289905

7.700245

7.612202

7.736717

7.369332

7.727554

7.55307

10.721661

7.931089

8.233009

9.128416

8.686233

8.442492

8.192693

7.916957

8.156121

8.560681

8.71146

8.53056

2402.18798

Yangrui Hu

Alfredo Guevara, Yangrui Hu, and Sabrina Pasterski

Multiparticle Contributions to the Celestial OPE

null

hep-th

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

We start by defining two-particle operators that appear in celestial CFT. We then show how to compute their OPE coefficients with the known single-particle operators at tree level from multiparticle factorization channels, focusing on the leading contribution involving the two-particle states. These factorization channels only give us single-particle exchanges. To extract the multiparticle exchanges, we look at the $\overline{\rm MHV}$ gluon amplitudes and show how non-factorization channels contribute to two-particle terms in the single-helicity sector. This is a first step towards systematically computing the full celestial OPE.

[ { "created": "Thu, 29 Feb 2024 02:04:30 GMT", "version": "v1" } ]

2024-03-01

[ [ "Guevara", "Alfredo", "" ], [ "Hu", "Yangrui", "" ], [ "Pasterski", "Sabrina", "" ] ]

We start by defining two-particle operators that appear in celestial CFT. We then show how to compute their OPE coefficients with the known single-particle operators at tree level from multiparticle factorization channels, focusing on the leading contribution involving the two-particle states. These factorization channels only give us single-particle exchanges. To extract the multiparticle exchanges, we look at the $\overline{\rm MHV}$ gluon amplitudes and show how non-factorization channels contribute to two-particle terms in the single-helicity sector. This is a first step towards systematically computing the full celestial OPE.

12.554523

12.793249

13.122524

11.302819

12.406431

12.057933

11.887424

11.956081

11.461665

15.189348

12.192758

11.903652

12.922121

12.438036

12.516125

12.537198

12.436088

11.894449

11.659499

12.964111

12.135011

2401.09540

Marc Geiller

Marc Geiller, C\'eline Zwikel

The partial Bondi gauge: Gauge fixings and asymptotic charges

36 pages

SciPost Phys. 16, 076 (2024)

10.21468/SciPostPhys.16.3.076

null

hep-th gr-qc

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

In the companion paper [SciPost Phys. 13, 108 (2022), arXiv:2205.11401 [hep-th]] we have studied the solution space at null infinity for gravity in the partial Bondi gauge. This partial gauge enables to recover as particular cases and among other choices the Bondi-Sachs and Newman-Unti gauges, and to approach the question of the most general boundary conditions and asymptotic charges in gravity. Here we compute and study the asymptotic charges and their algebra in this partial Bondi gauge, by focusing on the flat case with a varying boundary metric $\delta q_{AB}\neq0$. In addition to the super-translations, super-rotations, and Weyl transformations, we find two extra asymptotic symmetries associated with non-vanishing charges labelled by free functions in the solution space. These new symmetries arise from a weaker definition of the radial coordinate and switch on traces in the transverse metric. We also exhibit complete gauge fixing conditions in which these extra asymptotic symmetries and charges survive. As a byproduct of this calculation we obtain the charges in Newman-Unti gauge, in which one of these extra asymptotic charges is already non-vanishing. We also apply the formula for the charges in the partial Bondi gauge to the computation of the charges for the Kerr spacetime in Bondi coordinates.

[ { "created": "Wed, 17 Jan 2024 19:00:04 GMT", "version": "v1" } ]

2024-03-20

[ [ "Geiller", "Marc", "" ], [ "Zwikel", "Céline", "" ] ]

In the companion paper [SciPost Phys. 13, 108 (2022), arXiv:2205.11401 [hep-th]] we have studied the solution space at null infinity for gravity in the partial Bondi gauge. This partial gauge enables to recover as particular cases and among other choices the Bondi-Sachs and Newman-Unti gauges, and to approach the question of the most general boundary conditions and asymptotic charges in gravity. Here we compute and study the asymptotic charges and their algebra in this partial Bondi gauge, by focusing on the flat case with a varying boundary metric $\delta q_{AB}\neq0$. In addition to the super-translations, super-rotations, and Weyl transformations, we find two extra asymptotic symmetries associated with non-vanishing charges labelled by free functions in the solution space. These new symmetries arise from a weaker definition of the radial coordinate and switch on traces in the transverse metric. We also exhibit complete gauge fixing conditions in which these extra asymptotic symmetries and charges survive. As a byproduct of this calculation we obtain the charges in Newman-Unti gauge, in which one of these extra asymptotic charges is already non-vanishing. We also apply the formula for the charges in the partial Bondi gauge to the computation of the charges for the Kerr spacetime in Bondi coordinates.

9.536833

9.333668

9.766912

8.625809

9.724751

9.897041

9.868549

8.929688

9.450492

9.640149

8.752799

9.105962

9.277324

8.965468

9.273105

8.926822

9.065646

8.917307

9.034409

9.15397

8.874464

2004.12056

Sara Tahery

Sara Tahery, Xurong Chen

Drag force on a moving heavy quark with deformed string configuration

18 pages, 4 figures

Commun. Theor. Phys. 74 045201 (2022)

10.1088/1572-9494/ac6092

null

hep-th hep-ph

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

To study drag force on a moving heavy quark through a plasma, we use a deformed AdS space-time, in which deformation parameter $c$ describes non-conformality in AdS/QCD. In this case the quark is mapped to a probe string in the AdS space. Considering probable contribution of deformation parameter in the probe string, we apply a general form of c-dependent string ansatz in the drag force computation. Then we find the acceptable value of this parameter as it satisfies QCD calculations. Using this result, we also discuss diffusion constant which is in agreement with phenomenological result for non-relativistic limit. Also we show that while in absence of deformation parameter, probe string is a strictly increasing function of radial coordinate, the c-dependent probe string has a maximum value versus $z$.

[ { "created": "Sat, 25 Apr 2020 04:48:43 GMT", "version": "v1" }, { "created": "Sat, 2 Jan 2021 12:17:07 GMT", "version": "v2" }, { "created": "Thu, 23 Dec 2021 07:58:00 GMT", "version": "v3" } ]

2022-04-28

[ [ "Tahery", "Sara", "" ], [ "Chen", "Xurong", "" ] ]

To study drag force on a moving heavy quark through a plasma, we use a deformed AdS space-time, in which deformation parameter $c$ describes non-conformality in AdS/QCD. In this case the quark is mapped to a probe string in the AdS space. Considering probable contribution of deformation parameter in the probe string, we apply a general form of c-dependent string ansatz in the drag force computation. Then we find the acceptable value of this parameter as it satisfies QCD calculations. Using this result, we also discuss diffusion constant which is in agreement with phenomenological result for non-relativistic limit. Also we show that while in absence of deformation parameter, probe string is a strictly increasing function of radial coordinate, the c-dependent probe string has a maximum value versus $z$.

16.912552

14.31687

14.89578

14.03015

15.166056

14.8502

14.388874

14.205969

13.685564

15.929759

14.056227

14.376478

13.938197

13.67937

14.576088

13.853999

13.729393

13.544045

14.049134

13.898961

14.47076

2112.02008

Lorenzo Piroli

Gianluca Lagnese, Pasquale Calabrese, Lorenzo Piroli

Entanglement dynamics of thermofield double states in integrable models

19 pages, 6 figures; v2: minor revision

J. Phys. A: Math. Theor. 55, 214003 (2022)

10.1088/1751-8121/ac646b

null

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

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

We study the entanglement dynamics of thermofield double (TFD) states in integrable spin chains and quantum field theories. We show that, for a natural choice of the Hamiltonian eigenbasis, the TFD evolution may be interpreted as a quantum quench from an initial state which is low-entangled in the real-space representation and displays a simple quasiparticle structure. Based on a semiclassical picture analogous to the one developed for standard quantum quenches, we conjecture a formula for the entanglement dynamics, which is valid for both discrete and continuous integrable field theories, and expected to be exact in the scaling limit of large space and time scales. We test our conjecture in two prototypical examples of integrable spin chains, where numerical tests are possible. First, in the XY-model, we compare our predictions with exact results obtained by mapping the system to free fermions, finding excellent agreement. Second, we test our conjecture in the interacting XXZ Heisenberg model, against numerical iTEBD calculations. For the latter, we generally find good agreement, although, for some range of the system parameters and within the accessible simulation times, some small discrepancies are visible, which we attribute to finite-time effects.

[ { "created": "Fri, 3 Dec 2021 16:40:36 GMT", "version": "v1" }, { "created": "Wed, 11 May 2022 08:40:23 GMT", "version": "v2" } ]

2022-05-12

[ [ "Lagnese", "Gianluca", "" ], [ "Calabrese", "Pasquale", "" ], [ "Piroli", "Lorenzo", "" ] ]

We study the entanglement dynamics of thermofield double (TFD) states in integrable spin chains and quantum field theories. We show that, for a natural choice of the Hamiltonian eigenbasis, the TFD evolution may be interpreted as a quantum quench from an initial state which is low-entangled in the real-space representation and displays a simple quasiparticle structure. Based on a semiclassical picture analogous to the one developed for standard quantum quenches, we conjecture a formula for the entanglement dynamics, which is valid for both discrete and continuous integrable field theories, and expected to be exact in the scaling limit of large space and time scales. We test our conjecture in two prototypical examples of integrable spin chains, where numerical tests are possible. First, in the XY-model, we compare our predictions with exact results obtained by mapping the system to free fermions, finding excellent agreement. Second, we test our conjecture in the interacting XXZ Heisenberg model, against numerical iTEBD calculations. For the latter, we generally find good agreement, although, for some range of the system parameters and within the accessible simulation times, some small discrepancies are visible, which we attribute to finite-time effects.

6.302715

7.122462

7.083063

6.585888

6.908881

7.226082

6.723481

6.608779

6.623828

7.336216

6.476503

6.405661

6.508423

6.07392

6.293188

6.174624

6.338772

6.182773

6.112096

6.317814

6.207225

0810.5729

Chong-Sun Chu

Chong-Sun Chu, Dimitrios Giataganas

UV-divergences of Wilson Loops for Gauge/Gravity Duality

26 pages. LaTeX. v2: reference added. version to appear in JHEP

JHEP 0812:103,2008

10.1088/1126-6708/2008/12/103

DCPT-08/53

hep-th

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

We analyze the structure of the UV divergences of the Wilson loop for a general gauge/gravity duality. We find that, due to the presence of a nontrivial NSNS B-field and metric, new divergences that cannot be subtracted out by the conventional Legendre transform may arise. We also derive conditions on the B-field and the metric, which when satisfied, the leading UV divergence will become linear, and can be cancelled out by choosing the boundary condition of the string appropriately. Our results, together with the recent result of arXiv:0807.5127, where the effect of a nontrivial dilaton on the structure of UV divergences in Wilson loop is analysed, allow us to conclude that Legendre transform is at best capable of cancelling the linear UV divergences arising from the area of the worldsheet, but is incapable to handle the divergences associated with the dilaton or the B-field in general. We also solve the conditions for the cancellation of the leading linear divergences generally and find that many well-known supergravity backgrounds are of these kinds, including examples such as the Sakai-Sugimoto QCD model or N=1 duality with Sasaki-Einstein spaces. We also point out that Wilson loop in the Klebanov-Strassler background have a divergence associated with the B-field which cannot be cancelled away with the Legendre transform. Finally we end with some comments on the form of the Wilson loop operator in the ABJM superconformal Chern-Simons theory.

[ { "created": "Fri, 31 Oct 2008 16:29:08 GMT", "version": "v1" }, { "created": "Wed, 24 Dec 2008 11:42:06 GMT", "version": "v2" } ]

2009-01-16

[ [ "Chu", "Chong-Sun", "" ], [ "Giataganas", "Dimitrios", "" ] ]

We analyze the structure of the UV divergences of the Wilson loop for a general gauge/gravity duality. We find that, due to the presence of a nontrivial NSNS B-field and metric, new divergences that cannot be subtracted out by the conventional Legendre transform may arise. We also derive conditions on the B-field and the metric, which when satisfied, the leading UV divergence will become linear, and can be cancelled out by choosing the boundary condition of the string appropriately. Our results, together with the recent result of arXiv:0807.5127, where the effect of a nontrivial dilaton on the structure of UV divergences in Wilson loop is analysed, allow us to conclude that Legendre transform is at best capable of cancelling the linear UV divergences arising from the area of the worldsheet, but is incapable to handle the divergences associated with the dilaton or the B-field in general. We also solve the conditions for the cancellation of the leading linear divergences generally and find that many well-known supergravity backgrounds are of these kinds, including examples such as the Sakai-Sugimoto QCD model or N=1 duality with Sasaki-Einstein spaces. We also point out that Wilson loop in the Klebanov-Strassler background have a divergence associated with the B-field which cannot be cancelled away with the Legendre transform. Finally we end with some comments on the form of the Wilson loop operator in the ABJM superconformal Chern-Simons theory.

7.826007

7.822241

8.408743

7.85787

8.223707

8.034307

8.455577

8.230384

7.962979

9.640182

8.065358

7.98841

7.854487

7.841192

7.891507

7.670069

7.990745

7.938747

7.926336

8.037361

7.637208

hep-th/9309049

Fernando Ruiz

G. Giavarini, C.P. Martin and F. Ruiz Ruiz

Abelian Chern-Simons theory as the strong large-mass limit of topologically massive abelian gauge theory: the Wilson loop

phyzzx, 17 pages, FTUAM 93/27, UPRF 93/376 and NIKHEF-H 93/17 (to appear in Nucl. Phys. B)

Nucl.Phys. B412 (1994) 731-750

10.1016/0550-3213(94)90397-2

null

hep-th

null

We show that the renormalized vacuum expectation value of the Wilson loop for topologically massive abelian gauge theory in $\RR^3$ can be defined so that its large-mass limit be the renormalized vacuum expectation value of the Wilson loop for abelian Chern-Simons theory also in $\RR^3$.

[ { "created": "Thu, 9 Sep 1993 09:27:14 GMT", "version": "v1" } ]

2009-10-22

[ [ "Giavarini", "G.", "" ], [ "Martin", "C. P.", "" ], [ "Ruiz", "F. Ruiz", "" ] ]

We show that the renormalized vacuum expectation value of the Wilson loop for topologically massive abelian gauge theory in $\RR^3$ can be defined so that its large-mass limit be the renormalized vacuum expectation value of the Wilson loop for abelian Chern-Simons theory also in $\RR^3$.

6.338885

5.940818

7.021865

5.774997

6.131078

5.866994

5.663921

6.454788

5.972908

6.828942

5.376986

5.925924

6.314814

5.837687

5.53107

5.900133

5.588754

5.72808

5.65523

6.255566

5.758405

0809.4478

Bengt E. W. Nilsson

Ulf Gran and Bengt E.W. Nilsson

Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes

20 pages, v2: references and comments added, presentation in section 3.2 extended. v3: misprints and a sign error corrected, version published in JHEP

null

10.1088/1126-6708/2009/03/074

null

hep-th

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

This paper is concerned with the problem of coupling the N=8 superconformal Bagger-Lambert-Gustavsson (BLG) theory to N=8 conformal supergravity in three dimensions. We start by constructing the on-shell N=8 conformal supergravity in three dimensions consisting of a Chern-Simons type term for each of the gauge fields: the spin connection, the SO(8) R-symmetry gauge field and the spin 3/2 Rarita-Schwinger (gravitino) field. We then proceed to couple this theory to the BLG theory. The final theory should have the same physical content, i.e., degrees of freedom, as the ordinary BLG theory. We discuss briefly the properties of this "topologically gauged" BLG theory and why this theory may be useful.

[ { "created": "Thu, 25 Sep 2008 19:21:23 GMT", "version": "v1" }, { "created": "Wed, 3 Dec 2008 10:33:18 GMT", "version": "v2" }, { "created": "Tue, 17 Mar 2009 10:03:53 GMT", "version": "v3" } ]

2009-11-13

[ [ "Gran", "Ulf", "" ], [ "Nilsson", "Bengt E. W.", "" ] ]

This paper is concerned with the problem of coupling the N=8 superconformal Bagger-Lambert-Gustavsson (BLG) theory to N=8 conformal supergravity in three dimensions. We start by constructing the on-shell N=8 conformal supergravity in three dimensions consisting of a Chern-Simons type term for each of the gauge fields: the spin connection, the SO(8) R-symmetry gauge field and the spin 3/2 Rarita-Schwinger (gravitino) field. We then proceed to couple this theory to the BLG theory. The final theory should have the same physical content, i.e., degrees of freedom, as the ordinary BLG theory. We discuss briefly the properties of this "topologically gauged" BLG theory and why this theory may be useful.

4.909136

4.353021

5.25291

4.377369

4.791986

4.279761

4.352361

4.556111

4.461708

5.560935

4.564208

4.335258

4.688287

4.472779

4.423047

4.33005

4.516426

4.426835

4.447275

4.671063

4.549985

1710.05923

Xinan Zhou

Leonardo Rastelli, Xinan Zhou

How to Succeed at Holographic Correlators Without Really Trying

56 pages. A Mathematica notebook attached to the submission contains some explicit results both in position and in Mellin space; v2 published version

null

10.1007/JHEP04(2018)014

YITP-SB-2017-44

hep-th

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

We give a detailed account of the methods introduced in [1] to calculate holographic four-point correlators in IIB supergravity on $AdS_5 \times S^5$. Our approach relies entirely on general consistency conditions and maximal supersymmetry. We discuss two related methods, one in position space and the other in Mellin space. The position space method is based on the observation that the holographic four-point correlators of one-half BPS single-trace operators can be written as finite sums of contact Witten diagrams. We demonstrate in several examples that imposing the superconformal Ward identity is sufficient to fix the parameters of this ansatz uniquely, avoiding the need for a detailed knowledge of the supergravity effective action. The Mellin space approach is an "on-shell method" inspired by the close analogy between holographic correlators and flat space scattering amplitudes. We conjecture a compact formula for the four-point correlators of one-half BPS single-trace operators of arbitrary weights. Our general formula has the expected analytic structure, obeys the superconformal Ward identity, satisfies the appropriate asymptotic conditions and reproduces all the previously calculated cases. We believe that these conditions determine it uniquely.

[ { "created": "Mon, 16 Oct 2017 18:00:01 GMT", "version": "v1" }, { "created": "Fri, 6 Apr 2018 18:00:13 GMT", "version": "v2" } ]

2020-05-20

[ [ "Rastelli", "Leonardo", "" ], [ "Zhou", "Xinan", "" ] ]

We give a detailed account of the methods introduced in [1] to calculate holographic four-point correlators in IIB supergravity on $AdS_5 \times S^5$. Our approach relies entirely on general consistency conditions and maximal supersymmetry. We discuss two related methods, one in position space and the other in Mellin space. The position space method is based on the observation that the holographic four-point correlators of one-half BPS single-trace operators can be written as finite sums of contact Witten diagrams. We demonstrate in several examples that imposing the superconformal Ward identity is sufficient to fix the parameters of this ansatz uniquely, avoiding the need for a detailed knowledge of the supergravity effective action. The Mellin space approach is an "on-shell method" inspired by the close analogy between holographic correlators and flat space scattering amplitudes. We conjecture a compact formula for the four-point correlators of one-half BPS single-trace operators of arbitrary weights. Our general formula has the expected analytic structure, obeys the superconformal Ward identity, satisfies the appropriate asymptotic conditions and reproduces all the previously calculated cases. We believe that these conditions determine it uniquely.

6.151738

5.794343

6.669658

5.565077

5.939686

5.638607

5.582637

5.738859

5.576149

7.106938

5.538009

5.659975

6.160848

5.818903

5.914722

5.846946

5.710193

5.848969

5.909681

6.109964

5.766593

2311.17990

Dong-Gang Wang

Sebasti\'an C\'espedes, Anne-Christine Davis, Dong-Gang Wang

On the IR Divergences in de Sitter Space: loops, resummation and the semi-classical wavefunction

59 pages, 5 figures; v2: published version with minor revisions and references added

JHEP 04 (2024) 004

10.1007/JHEP04(2024)004

null

hep-th astro-ph.CO gr-qc hep-ph

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

In this paper, we revisit the infrared (IR) divergences in de Sitter (dS) space using the wavefunction method, and explicitly explore how the resummation of higher-order loops leads to the stochastic formalism. In light of recent developments of the cosmological bootstrap, we track the behaviour of these nontrivial IR effects from perturbation theory to the non-perturbative regime. Specifically, we first examine the perturbative computation of wavefunction coefficients, and show that there is a clear distinction between classical components from tree-level diagrams and quantum ones from loop processes. Cosmological correlators at loop level receive contributions from tree-level wavefunction coefficients, which we dub classical loops. This distinction significantly simplifies the analysis of loop-level IR divergences, as we find the leading contributions always come from these classical loops. Then we compare with correlators from the perturbative stochastic computation, and find the results there are essentially the ones from classical loops, while quantum loops are only present as subleading corrections. This demonstrates that the leading IR effects are contained in the semi-classical wavefunction which is a resummation of all the tree-level diagrams. With this insight, we go beyond perturbation theory and present a new derivation of the stochastic formalism using the saddle-point approximation. We show that the Fokker-Planck equation follows as a consequence of two effects: the drift from the Schr\"odinger equation that describes the bulk time evolution, and the diffusion from the Polchinski's equation which corresponds to the exact renormalization group flow of the coarse-grained theory on the boundary. Our analysis highlights the precise and simple link between the stochastic formalism and the semi-classical wavefunction.

[ { "created": "Wed, 29 Nov 2023 19:00:00 GMT", "version": "v1" }, { "created": "Thu, 4 Apr 2024 12:48:48 GMT", "version": "v2" } ]

2024-04-05

[ [ "Céspedes", "Sebastián", "" ], [ "Davis", "Anne-Christine", "" ], [ "Wang", "Dong-Gang", "" ] ]

In this paper, we revisit the infrared (IR) divergences in de Sitter (dS) space using the wavefunction method, and explicitly explore how the resummation of higher-order loops leads to the stochastic formalism. In light of recent developments of the cosmological bootstrap, we track the behaviour of these nontrivial IR effects from perturbation theory to the non-perturbative regime. Specifically, we first examine the perturbative computation of wavefunction coefficients, and show that there is a clear distinction between classical components from tree-level diagrams and quantum ones from loop processes. Cosmological correlators at loop level receive contributions from tree-level wavefunction coefficients, which we dub classical loops. This distinction significantly simplifies the analysis of loop-level IR divergences, as we find the leading contributions always come from these classical loops. Then we compare with correlators from the perturbative stochastic computation, and find the results there are essentially the ones from classical loops, while quantum loops are only present as subleading corrections. This demonstrates that the leading IR effects are contained in the semi-classical wavefunction which is a resummation of all the tree-level diagrams. With this insight, we go beyond perturbation theory and present a new derivation of the stochastic formalism using the saddle-point approximation. We show that the Fokker-Planck equation follows as a consequence of two effects: the drift from the Schr\"odinger equation that describes the bulk time evolution, and the diffusion from the Polchinski's equation which corresponds to the exact renormalization group flow of the coarse-grained theory on the boundary. Our analysis highlights the precise and simple link between the stochastic formalism and the semi-classical wavefunction.

8.188955

8.367801

9.069552

8.146935

8.23681

8.468604

8.480058

7.982674

8.006132

9.354625

8.047853

7.904193

8.261265

7.974719

7.876954

7.918139

7.99025

7.877889

7.983395

8.388272

7.819291

hep-th/9603176

Gary Gibbons

G W Gibbons (DAMTP University of Cambridge)

The Sen conjecture for fundamental monopoles of distinct type

12 pages plain Tex

Phys.Lett.B382:53-59,1996

10.1016/0370-2693(96)00525-4

DAMTP/R/96/19

hep-th gr-qc

null

I exhibit a middle-dimensional square integrable harmonic form on the moduli space of distinct fundamental BPS monopoles of an arbitrary Lie group. This is in accord with Sen's S-duality conjecture. I also show that the moduli space has no closed or bound geodesics.

[ { "created": "Fri, 22 Mar 1996 15:03:30 GMT", "version": "v1" } ]

2009-10-07

[ [ "Gibbons", "G W", "", "DAMTP University of Cambridge" ] ]

I exhibit a middle-dimensional square integrable harmonic form on the moduli space of distinct fundamental BPS monopoles of an arbitrary Lie group. This is in accord with Sen's S-duality conjecture. I also show that the moduli space has no closed or bound geodesics.

26.789373

21.597107

21.17557

17.124125

19.259611

18.166037

17.726835

16.829607

17.738327

21.920412

20.160704

15.99323

20.8085

17.078686

18.738935

17.217894

17.305683

18.033936

17.268358

21.782183

17.927

1601.03222

Roldao da Rocha

Roberto Casadio, Rogerio T. Cavalcanti, Roldao da Rocha

Fluid/gravity correspondence and the CFM black brane solutions

20 pages, 2 figures; refs. added, improved version, to appear in EPJC

Eur. Phys. J. C 76 (2016) 556

10.1140/epjc/s10052-016-4415-z

null

hep-th gr-qc

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

We consider the lower bound for the shear viscosity-to-entropy density ratio, obtained from the fluid/gravity correspondence, in order to constrain the post-Newtonian parameter of brane-world metrics. In particular, we analyse the Casadio-Fabbri-Mazzacurati (CFM) effective solutions for the gravity side of the correspondence and argue that including higher order terms in the hydrodynamic expansion can lead to a full agreement with the experimental bounds, for the Eddington-Robertson-Schiff post-Newtonian parameter in the CFM metrics. This lends further support to the physical relevance of the viscosity-to-entropy ratio lower bound and fluid/gravity correspondence. Hence we show that CFM black branes are, effectively, Schwarzschild black branes.

[ { "created": "Wed, 13 Jan 2016 13:05:02 GMT", "version": "v1" }, { "created": "Fri, 30 Sep 2016 17:51:10 GMT", "version": "v2" } ]

2016-10-19

[ [ "Casadio", "Roberto", "" ], [ "Cavalcanti", "Rogerio T.", "" ], [ "da Rocha", "Roldao", "" ] ]

We consider the lower bound for the shear viscosity-to-entropy density ratio, obtained from the fluid/gravity correspondence, in order to constrain the post-Newtonian parameter of brane-world metrics. In particular, we analyse the Casadio-Fabbri-Mazzacurati (CFM) effective solutions for the gravity side of the correspondence and argue that including higher order terms in the hydrodynamic expansion can lead to a full agreement with the experimental bounds, for the Eddington-Robertson-Schiff post-Newtonian parameter in the CFM metrics. This lends further support to the physical relevance of the viscosity-to-entropy ratio lower bound and fluid/gravity correspondence. Hence we show that CFM black branes are, effectively, Schwarzschild black branes.

8.29984

8.090856

7.849051

7.368096

7.644838

7.875602

7.673572

7.006829

8.800654

8.556581

7.660365

7.729163

7.609241

7.842231

7.312292

7.51596

7.427472

7.014786

7.572625

7.973832

7.597338

hep-th/0309048

Alexander Banin

A.T. Banin, I.L. Buchbinder, N.G.Pletnev

Effective Action in ${\cal N}=2,4$ Supersymmetric Yang-Mills Theories

13 pages, LaTeX, Based on the talks given by authors at the International Conference on Theoretical and Experimental Problems of General Relativity and Gravitation and International Workshop on Gravity, Strings and Quantum Field Theory (GRG 11), Tomsk, Russia, 1-10

Grav.Cosmol.9:2-10,2003

null

hep-th

null

We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for $R_{\xi}$-gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of the Euler dilogarithm function for a specific choice of gauge parameters.We also discuss the calculations of hypermultiplet dependence of ${\cal N}=4$ SYM effective action.

[ { "created": "Thu, 4 Sep 2003 06:38:47 GMT", "version": "v1" }, { "created": "Mon, 8 Sep 2003 01:46:06 GMT", "version": "v2" } ]

2009-12-30

[ [ "Banin", "A. T.", "" ], [ "Buchbinder", "I. L.", "" ], [ "Pletnev", "N. G.", "" ] ]

We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for $R_{\xi}$-gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of the Euler dilogarithm function for a specific choice of gauge parameters.We also discuss the calculations of hypermultiplet dependence of ${\cal N}=4$ SYM effective action.

7.989953

6.080943

8.329535

6.856763

6.311403

5.972855

6.041839

6.148377

6.770369

8.001399

6.594172

7.071766

7.788751

7.404676

7.215501

7.163007

6.969443

7.200565

7.328823

8.020632

7.024165

hep-th/9511024

Orlando Alvarez

Classical Geometry and Target Space Duality

22 pages, LaTeX and epsf.sty. Two figures in epsf files. A one sentence comment on a reference was amended

null

UMTG-188

hep-th

null

This is the written version of lectures presented at Cargese 95. A new formulation for a ``restricted'' type of target space duality in classical two dimensional nonlinear sigma models is presented. The main idea is summarized by the analogy: euclidean geometry is to riemannian geometry as toroidal target space duality is to ``restricted'' target space duality. The target space is not required to possess symmetry. These lectures only discuss the local theory. The restricted target space duality problem is identified with an interesting problem in classical differential geometry.

[ { "created": "Sat, 4 Nov 1995 00:12:09 GMT", "version": "v1" }, { "created": "Tue, 2 Jan 1996 21:10:10 GMT", "version": "v2" } ]

2008-02-03

[ [ "Alvarez", "Orlando", "" ] ]

This is the written version of lectures presented at Cargese 95. A new formulation for a ``restricted'' type of target space duality in classical two dimensional nonlinear sigma models is presented. The main idea is summarized by the analogy: euclidean geometry is to riemannian geometry as toroidal target space duality is to ``restricted'' target space duality. The target space is not required to possess symmetry. These lectures only discuss the local theory. The restricted target space duality problem is identified with an interesting problem in classical differential geometry.

14.03964

11.057763

11.4838

10.177633

11.936805

10.779804

10.755477

11.459185

10.302762

13.717278

11.110619

10.959227

11.514311

10.953634

10.933805

11.023769

11.20504

11.169909

11.011152

12.202616

11.298918

hep-th/0512230

Daniel Grumiller

L. Bergamin, D. Grumiller, W. Kummer and D.V. Vassilevich

Physics-to-gauge conversion at black hole horizons

32 pages, uses iopart_mod.cls, v2: added ref, v3: added paragraph in conclusions

Class.Quant.Grav.23:3075-3101,2006; Class.Quant.Grav.23:3075-3102,2006

10.1088/0264-9381/23/9/019

TUW-05-20, LU-ITP 2005/26

hep-th gr-qc

null

Requiring the presence of a horizon imposes constraints on the physical phase space. After a careful analysis of dilaton gravity in 2D with boundaries (including the Schwarzschild and Witten black holes as prominent examples), it is shown that the classical physical phase space is smaller as compared to the generic case if horizon constraints are imposed. Conversely, the number of gauge symmetries is larger for the horizon scenario. In agreement with a recent conjecture by 't Hooft, we thus find that physical degrees of freedom are converted into gauge degrees of freedom at a horizon.

[ { "created": "Mon, 19 Dec 2005 10:12:03 GMT", "version": "v1" }, { "created": "Wed, 11 Jan 2006 10:32:12 GMT", "version": "v2" }, { "created": "Mon, 27 Feb 2006 18:40:11 GMT", "version": "v3" } ]

2009-11-11

[ [ "Bergamin", "L.", "" ], [ "Grumiller", "D.", "" ], [ "Kummer", "W.", "" ], [ "Vassilevich", "D. V.", "" ] ]

Requiring the presence of a horizon imposes constraints on the physical phase space. After a careful analysis of dilaton gravity in 2D with boundaries (including the Schwarzschild and Witten black holes as prominent examples), it is shown that the classical physical phase space is smaller as compared to the generic case if horizon constraints are imposed. Conversely, the number of gauge symmetries is larger for the horizon scenario. In agreement with a recent conjecture by 't Hooft, we thus find that physical degrees of freedom are converted into gauge degrees of freedom at a horizon.

11.348248

10.975842

10.253297

10.188894

10.755023

10.874592

10.137406

10.379617

10.237976

11.081384

9.809958

10.051605

10.430674

10.23475

9.983632

10.122444

10.155193

10.07033

10.322344

10.314481

9.862446

1701.02926

Shingo Akama

Shingo Akama, Tsutomu Kobayashi

Generalized multi-Galileons, covariantized new terms, and the no-go theorem for non-singular cosmologies

7 pages

Phys. Rev. D 95, 064011 (2017)

10.1103/PhysRevD.95.064011

RUP-17-1

hep-th astro-ph.CO gr-qc

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

It has been pointed out that non-singular cosmological solutions in second-order scalar-tensor theories generically suffer from gradient instabilities. We extend this no-go result to second-order gravitational theories with an arbitrary number of interacting scalar fields. Our proof follows directly from the action of generalized multi-Galileons, and thus is different from and complementary to that based on the effective field theory approach. Several new terms for generalized multi-Galileons on a flat background were proposed recently. We find a covariant completion of them and confirm that they do not participate in the no-go argument.

[ { "created": "Wed, 11 Jan 2017 11:20:13 GMT", "version": "v1" }, { "created": "Mon, 10 Apr 2017 04:08:48 GMT", "version": "v2" } ]

2017-04-11

[ [ "Akama", "Shingo", "" ], [ "Kobayashi", "Tsutomu", "" ] ]

It has been pointed out that non-singular cosmological solutions in second-order scalar-tensor theories generically suffer from gradient instabilities. We extend this no-go result to second-order gravitational theories with an arbitrary number of interacting scalar fields. Our proof follows directly from the action of generalized multi-Galileons, and thus is different from and complementary to that based on the effective field theory approach. Several new terms for generalized multi-Galileons on a flat background were proposed recently. We find a covariant completion of them and confirm that they do not participate in the no-go argument.

9.247357

8.913991

9.607841

8.483306

9.291862

8.890205

9.248646

8.469248

9.128707

9.525097

8.656757

9.061673

9.186522

8.652117

8.532397

8.686656

9.059423

8.799537

9.003909

8.861057

8.835412

1108.4022

Dori Reichmann

Leopoldo A. Pando Zayas and Dori Reichmann

A Holographic Chiral p_x + ip_y Superconductor

8 pages, RevTex 4.1, 10 figures, v2: clarifying comments added, published version

null

10.1103/PhysRevD.85.106012

MCTP-11-31

hep-th cond-mat.supr-con

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

Using a string inspired model we construct gravity duals generalizing px and p_x + ip_y superconductors. Introducing a Chern-Simons coupling in the gravity side we demonstrate the ability to control which phase dominates at low temperatures, and focus on the chiral p_x + ip_y phase. We study the fermionic spectral function and establish that the behavior is rather different from the standard p-wave two-nodes model.

[ { "created": "Fri, 19 Aug 2011 18:29:13 GMT", "version": "v1" }, { "created": "Fri, 27 Apr 2012 14:20:13 GMT", "version": "v2" } ]

2013-05-30

[ [ "Zayas", "Leopoldo A. Pando", "" ], [ "Reichmann", "Dori", "" ] ]

Using a string inspired model we construct gravity duals generalizing px and p_x + ip_y superconductors. Introducing a Chern-Simons coupling in the gravity side we demonstrate the ability to control which phase dominates at low temperatures, and focus on the chiral p_x + ip_y phase. We study the fermionic spectral function and establish that the behavior is rather different from the standard p-wave two-nodes model.

20.534143

19.227922

18.559072

15.948623

17.314674

19.473938

15.320062

15.437738

18.088879

20.778986

14.941529

16.746342

19.001295

16.280025

16.432549

16.154789

17.597824

17.635321

16.276043

18.320227

17.078629

hep-th/0408043

Tetsuya Shiromizu

Keitaro Takahashi, Tetsuya Shiromizu

Asymmetric D-braneworld

6 pages

Phys.Rev. D70 (2004) 103507

10.1103/PhysRevD.70.103507

null

hep-th

null

In recent papers on Randall-Sundrum D-braneworld model with Z_2 symmetry, it was shown that the effective gravity does not work as usual, that is, the gravity does not couple to the gauge field localised on the brane in a usual way. At first glance there are two possibilities to avoid this serious problem. One is to remove the Z_2 symmetry and another is to consider a non-BPS state. In this paper we analyze the Randall-Sundrum D-braneworld model without Z_2 symmetry by long wave approximation. The result is unexpected one, that is, the gauge field does not couple to the gravity on the brane in the leading order again. Therefore the remaining possibility to recover the conventional gravitational theory would be non-BPS cases.

[ { "created": "Thu, 5 Aug 2004 05:04:55 GMT", "version": "v1" } ]

2009-11-10

[ [ "Takahashi", "Keitaro", "" ], [ "Shiromizu", "Tetsuya", "" ] ]

In recent papers on Randall-Sundrum D-braneworld model with Z_2 symmetry, it was shown that the effective gravity does not work as usual, that is, the gravity does not couple to the gauge field localised on the brane in a usual way. At first glance there are two possibilities to avoid this serious problem. One is to remove the Z_2 symmetry and another is to consider a non-BPS state. In this paper we analyze the Randall-Sundrum D-braneworld model without Z_2 symmetry by long wave approximation. The result is unexpected one, that is, the gauge field does not couple to the gravity on the brane in the leading order again. Therefore the remaining possibility to recover the conventional gravitational theory would be non-BPS cases.

8.117104

7.982419

8.038734

7.78029

8.643365

8.33009

8.326612

7.855597

7.542266

8.960274

7.761495

7.610015

8.167345

7.684977

7.883161

8.039011

8.019985

7.75073

7.815769

7.865908

7.897294

1605.03630

Stephan Stieberger

S. Stieberger

Periods and Superstring Amplitudes

31 pages, LaTeX, 6 figs; v2: a few typos removed and published version

Springer Proceedings in Mathematics & Statistics, vol 314. Springer, Cham (2020)

10.1007/978-3-030-37031-2_3

MPP-2016-85

hep-th math.AG math.NT

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

Scattering amplitudes which describe the interaction of physical states play an important role in determining physical observables. In string theory the physical states are given by vibrations of open and closed strings and their interactions are described (at the leading order in perturbation theory) by a world-sheet given by the topology of a disk or sphere, respectively. Formally, for scattering of N strings this leads to N-3-dimensional iterated real integrals along the compactified real axis or N-3-dimensional complex sphere integrals, respectively. As a consequence the physical observables are described by periods on M_{0,N} - the moduli space of Riemann spheres of N ordered marked points. The mathematical structure of these string amplitudes share many recent advances in arithmetic algebraic geometry and number theory like multiple zeta values, single-valued multiple zeta values, Drinfeld, Deligne associators, Hopf algebra and Lie algebra structures related to Grothendiecks Galois theory. We review these results, with emphasis on a beautiful link between generalized hypergeometric functions describing the real iterated integrals on M_{0,N}(R) and the decomposition of motivic multiple zeta values. Furthermore, a relation expressing complex integrals on M_{0,N}(C) as single-valued projection of iterated real integrals on M_{0,N}(R) is exhibited.

[ { "created": "Wed, 11 May 2016 22:24:19 GMT", "version": "v1" }, { "created": "Tue, 18 May 2021 10:29:38 GMT", "version": "v2" } ]

2021-05-19

[ [ "Stieberger", "S.", "" ] ]

Scattering amplitudes which describe the interaction of physical states play an important role in determining physical observables. In string theory the physical states are given by vibrations of open and closed strings and their interactions are described (at the leading order in perturbation theory) by a world-sheet given by the topology of a disk or sphere, respectively. Formally, for scattering of N strings this leads to N-3-dimensional iterated real integrals along the compactified real axis or N-3-dimensional complex sphere integrals, respectively. As a consequence the physical observables are described by periods on M_{0,N} - the moduli space of Riemann spheres of N ordered marked points. The mathematical structure of these string amplitudes share many recent advances in arithmetic algebraic geometry and number theory like multiple zeta values, single-valued multiple zeta values, Drinfeld, Deligne associators, Hopf algebra and Lie algebra structures related to Grothendiecks Galois theory. We review these results, with emphasis on a beautiful link between generalized hypergeometric functions describing the real iterated integrals on M_{0,N}(R) and the decomposition of motivic multiple zeta values. Furthermore, a relation expressing complex integrals on M_{0,N}(C) as single-valued projection of iterated real integrals on M_{0,N}(R) is exhibited.

8.516916

8.935299

9.462336

8.413529

9.166587

9.495964

9.466393

9.072149

8.733236

10.727626

8.485607

8.432894

8.638091

8.258666

8.394027

8.208332

8.239046

8.480202

8.459132

9.103433

8.354891

hep-th/9906147

Agustin Nieto

Agustin Nieto (CERN) and Michel H.G. Tytgat (Brussels)

Effective field theory approach to N=4 supersymmetric Yang-Mills at finite temperature

LaTeX, 10 pages, 1 figure, uses epsf

null

CERN-TH/99-153, ULB-TH/99-10

hep-th hep-ph

null

We study the perturbation expansion of the free energy of N=4 supersymmetric SU(N) Yang-Mills at finite temperature in powers of 't Hooft's coupling g^2 N in the large N limit. Infrared divergences are controlled by constructing a hierarchy of two 3 dimensional effective field theories. This procedure is applied to the calculation of the free energy to order (g^2 N)^(3/2), but it can be extended to higher order corrections.

[ { "created": "Fri, 18 Jun 1999 17:37:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nieto", "Agustin", "", "CERN" ], [ "Tytgat", "Michel H. G.", "", "Brussels" ] ]

We study the perturbation expansion of the free energy of N=4 supersymmetric SU(N) Yang-Mills at finite temperature in powers of 't Hooft's coupling g^2 N in the large N limit. Infrared divergences are controlled by constructing a hierarchy of two 3 dimensional effective field theories. This procedure is applied to the calculation of the free energy to order (g^2 N)^(3/2), but it can be extended to higher order corrections.

6.521778

5.85735

6.172043

5.706354

6.588191

5.902802

5.859025

6.262934

5.617294

6.204872

5.852725

5.887196

6.08487

5.93519

5.873693

5.922717

6.168482

5.96718

5.905507

6.071776

5.881553

1207.5961

Xavier Busch

Xavier Busch, Renaud Parentani

Dispersive fields in de Sitter space and event horizon thermodynamics

19 pages. Black and White version on Phys.Rev.D server

null

10.1103/PhysRevD.86.104033

null

hep-th gr-qc

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

When Lorentz invariance is violated at high energy, the laws of black hole thermodynamics are apparently no longer satisfied. To shed light on this observation, we study dispersive fields in de Sitter space. We show that the Bunch-Davies vacuum state restricted to the static patch is no longer thermal, and that the Tolman law is violated. However we also show that, for free fields at least, this vacuum is the only stationary stable state, as if it were in equilibrium. We then present a precise correspondence between dispersive effects found in de Sitter and in black hole metrics. This indicates that the consequences of dispersion on thermodynamical laws could also be similar.

[ { "created": "Wed, 25 Jul 2012 11:44:55 GMT", "version": "v1" }, { "created": "Tue, 27 Nov 2012 08:44:47 GMT", "version": "v2" } ]

2012-11-28

[ [ "Busch", "Xavier", "" ], [ "Parentani", "Renaud", "" ] ]

When Lorentz invariance is violated at high energy, the laws of black hole thermodynamics are apparently no longer satisfied. To shed light on this observation, we study dispersive fields in de Sitter space. We show that the Bunch-Davies vacuum state restricted to the static patch is no longer thermal, and that the Tolman law is violated. However we also show that, for free fields at least, this vacuum is the only stationary stable state, as if it were in equilibrium. We then present a precise correspondence between dispersive effects found in de Sitter and in black hole metrics. This indicates that the consequences of dispersion on thermodynamical laws could also be similar.

10.636781

10.086

10.308638

9.453573

10.365042

9.799606

11.426038

10.029785

10.363562

9.720343

10.775004

10.064057

10.400026

10.033834

10.186234

10.34442

9.576076

10.274537

9.849989

10.056598

10.289271

2111.13181

Luca Ciambelli

Luca Ciambelli, Robert G. Leigh and Pin-Chun Pai

Embeddings and Integrable Charges for Extended Corner Symmetry

5 pages, published in PRL

null

10.1103/PhysRevLett.128.171302

null

hep-th gr-qc

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

We revisit the problem of extending the phase space of diffeomorphism-invariant theories to account for embeddings associated with the boundary of sub-regions. We do so by emphasizing the importance of a careful treatment of embeddings in all aspects of the covariant phase space formalism. In so doing we introduce a new notion of the extension of field space associated with the embeddings which has the important feature that the Noether charges associated with all extended corner symmetries are in fact integrable, but not necessarily conserved. We give an intuitive understanding of this description. We then show that the charges give a representation of the extended corner symmetry via the Poisson bracket, without central extension.

[ { "created": "Thu, 25 Nov 2021 17:26:07 GMT", "version": "v1" }, { "created": "Fri, 29 Apr 2022 14:57:10 GMT", "version": "v2" } ]

2022-05-02

[ [ "Ciambelli", "Luca", "" ], [ "Leigh", "Robert G.", "" ], [ "Pai", "Pin-Chun", "" ] ]

We revisit the problem of extending the phase space of diffeomorphism-invariant theories to account for embeddings associated with the boundary of sub-regions. We do so by emphasizing the importance of a careful treatment of embeddings in all aspects of the covariant phase space formalism. In so doing we introduce a new notion of the extension of field space associated with the embeddings which has the important feature that the Noether charges associated with all extended corner symmetries are in fact integrable, but not necessarily conserved. We give an intuitive understanding of this description. We then show that the charges give a representation of the extended corner symmetry via the Poisson bracket, without central extension.

12.079908

11.379701

12.643771

10.637991

10.982417

11.604763

11.817344

11.611031

11.093804

12.370473

11.391409

11.222758

11.472911

10.8711

11.241261

11.22453

11.588306

11.165327

11.479219

11.244106

11.312304

1912.10276

Thibaut Coudarchet

Thibaut Coudarchet, Lucien Heurtier and Herv\'e Partouche

Spontaneous Freeze Out of Dark Matter

Based on a talk given at the Conference on Recent Developments in Strings and Gravity, 10 to 16 September 2019, Corfu, Greece

null

hep-th astro-ph.HE gr-qc hep-ph

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

We present a new paradigm for the production of dark-matter particles called the spontaneous freeze out, in which the decoupling from the thermal bath is enforced by the sudden increase of the dark-matter mass, due to the spontaneous breaking of some global symmetry rather than by the slow decrease of the temperature. We study the details of the spontaneous freeze out mechanism using a simple toy model and analyze the phenomenology of our scenario. We show that in order to obtain the correct relic abundance, the annihilation cross section of dark-matter particles into Standard-Model states has to be typically much larger than in the case of a constant-mass thermal dark-matter candidate. We present a string theory model in which such a scenario takes place naturally.

[ { "created": "Sat, 21 Dec 2019 15:08:14 GMT", "version": "v1" } ]

2019-12-24

[ [ "Coudarchet", "Thibaut", "" ], [ "Heurtier", "Lucien", "" ], [ "Partouche", "Hervé", "" ] ]

We present a new paradigm for the production of dark-matter particles called the spontaneous freeze out, in which the decoupling from the thermal bath is enforced by the sudden increase of the dark-matter mass, due to the spontaneous breaking of some global symmetry rather than by the slow decrease of the temperature. We study the details of the spontaneous freeze out mechanism using a simple toy model and analyze the phenomenology of our scenario. We show that in order to obtain the correct relic abundance, the annihilation cross section of dark-matter particles into Standard-Model states has to be typically much larger than in the case of a constant-mass thermal dark-matter candidate. We present a string theory model in which such a scenario takes place naturally.

6.944982

7.741148

6.221791

6.256054

7.107697

7.34331

6.880912

7.355549

6.658962

6.962424

6.82122

6.703733

6.634161

6.700336

6.605842

6.75238

6.64302

6.990506

6.775636

6.547888

7.004383

0910.5471

Dmitry V. Belyaev

Dynamical supersymmetry in maximally supersymmetric gauge theories

48 pages, elsarticle format; revised version accepted for publication in Nuclear Physics B

Nucl. Phys. B 832 (2010) 289-322

10.1016/j.nuclphysb.2010.02.012

null

hep-th

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

Maximally supersymmetric theories can be described by a single scalar superfield in light-cone superspace. When they are also (super)conformally invariant, they are uniquely specified by the form of the dynamical supersymmetry. We present an explicit derivation of the light-cone superspace form of the dynamical supersymmetry in the cases of ten- and four-dimensional super-Yang-Mills, and the three-dimensional Bagger-Lambert-Gustavsson theory, starting from the covariant formulation of these theories.

[ { "created": "Wed, 28 Oct 2009 20:58:12 GMT", "version": "v1" }, { "created": "Wed, 10 Feb 2010 12:54:47 GMT", "version": "v2" } ]

2010-03-09

[ [ "Belyaev", "Dmitry V.", "" ] ]

Maximally supersymmetric theories can be described by a single scalar superfield in light-cone superspace. When they are also (super)conformally invariant, they are uniquely specified by the form of the dynamical supersymmetry. We present an explicit derivation of the light-cone superspace form of the dynamical supersymmetry in the cases of ten- and four-dimensional super-Yang-Mills, and the three-dimensional Bagger-Lambert-Gustavsson theory, starting from the covariant formulation of these theories.

5.9753

5.444795

6.333358

5.513594

5.544053

5.8773

5.700763

5.372573

5.143402

6.499207

5.389503

5.511971

5.63487

5.296154

5.490211

5.44387

5.239802

5.492826

5.390157

5.784319

5.250988

1003.0249

Daniel Butter

Conserved supercurrents and Fayet-Iliopoulos terms in supergravity

18 pages; v3; reference to Dienes and Thomas paper corrected; introduction and conclusion rephrased; minor typo corrected

null

UCB-PTH-10/05

hep-th

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

Recently there has appeared in the literature a sequence of papers questioning the consistency of supergravity coupled to Fayet-Iliopoulos terms. A key feature of these arguments is a demonstration that the conventional superspace stress tensor fails to be gauge invariant. We briefly show here how this can be understood as defining the stress tensor in a non-covariant Brans-Dicke frame in an underlying superconformal theory. When converted to the Einstein frame, the inconsistency vanishes, which is consistent with the emergence of a global symmetry discussed in these papers.

[ { "created": "Mon, 1 Mar 2010 19:58:58 GMT", "version": "v1" }, { "created": "Tue, 2 Mar 2010 19:44:18 GMT", "version": "v2" }, { "created": "Wed, 3 Mar 2010 20:31:55 GMT", "version": "v3" } ]

2010-03-03

[ [ "Butter", "Daniel", "" ] ]

Recently there has appeared in the literature a sequence of papers questioning the consistency of supergravity coupled to Fayet-Iliopoulos terms. A key feature of these arguments is a demonstration that the conventional superspace stress tensor fails to be gauge invariant. We briefly show here how this can be understood as defining the stress tensor in a non-covariant Brans-Dicke frame in an underlying superconformal theory. When converted to the Einstein frame, the inconsistency vanishes, which is consistent with the emergence of a global symmetry discussed in these papers.

13.007518

12.284783

12.945783

11.364542

10.616687

11.734777

12.283126

11.315929

12.065619

13.566663

11.763468

11.756522

11.422529

11.297703

11.811491

11.561877

11.507738

11.995443

11.677992

11.879107

11.606869

hep-th/0012167

Laurent Gallot

M. Frau, L. Gallot, A.Lerda and P.Strigazzi

D-branes in type I string theory

8 pages, no figures, needs buckow.sty, contribution to the proceedings of the workshop "The quantum structure of spacetime and the geometric nature of fundamental interactions", Berlin, october 2000 Some references added

Fortsch.Phys. 49 (2001) 503-510

10.1002/1521-3978(200105)49:4/6<503::AID-PROP503>3.3.CO;2-T

DFTT 49/2000

hep-th

null

We review the boundary state description of D-branes in type I string theory and show that the only stable non-BPS configurations are the D-particle and the D-instanton. We also compute the gauge and gravitational interactions of the non-BPS D-particles and compare them with the interactions of the dual non-BPS states of the heterotic string, finding complete agreement.

[ { "created": "Tue, 19 Dec 2000 09:12:07 GMT", "version": "v1" }, { "created": "Mon, 5 Mar 2001 16:07:04 GMT", "version": "v2" } ]

2015-06-25

[ [ "Frau", "M.", "" ], [ "Gallot", "L.", "" ], [ "Lerda", "A.", "" ], [ "Strigazzi", "P.", "" ] ]

We review the boundary state description of D-branes in type I string theory and show that the only stable non-BPS configurations are the D-particle and the D-instanton. We also compute the gauge and gravitational interactions of the non-BPS D-particles and compare them with the interactions of the dual non-BPS states of the heterotic string, finding complete agreement.

6.917837

4.579995

7.355442

5.330087

5.067365

4.732233

5.001643

4.818258

5.414604

7.727862

5.372896

5.658879

6.519795

5.736333

5.777297

5.723089

5.649105

5.335703

5.743997

6.756849

5.760405

0707.3331

Vladimir Khatsymovsky

V. M. Khatsymovsky

On positivity of quantum measure and of effective action in area tensor Regge calculus

18 pages, 4 figures

null

hep-th gr-qc

null

Because of unboundedness of the general relativity action, Euclidean version of the path integral in general relativity requires definition. Area tensor Regge calculus is considered in the representation with independent area tensor and finite rotation matrices. Being integrated over rotation matrices the path integral measure in area tensor Regge calculus is rewritten by moving integration contours to complex plain so that it looks as that one with effective action in the exponential with positive real part. We speculate that positivity of the measure can be expected in the most part of range of variation of area tensors.

[ { "created": "Mon, 23 Jul 2007 08:29:38 GMT", "version": "v1" } ]

2007-07-25

[ [ "Khatsymovsky", "V. M.", "" ] ]

Because of unboundedness of the general relativity action, Euclidean version of the path integral in general relativity requires definition. Area tensor Regge calculus is considered in the representation with independent area tensor and finite rotation matrices. Being integrated over rotation matrices the path integral measure in area tensor Regge calculus is rewritten by moving integration contours to complex plain so that it looks as that one with effective action in the exponential with positive real part. We speculate that positivity of the measure can be expected in the most part of range of variation of area tensors.

25.561241

26.469025

27.499977

23.865704

32.060375

28.559631

31.287651

24.688723

28.663069

29.238758

27.45347

24.751715

23.83835

23.188154

25.005819

23.489065

24.327328

24.499624

25.347946

25.560181

24.709442

hep-th/9907067

Maurizio Gasperini

M. Gasperini

Elementary introduction to pre-big bang cosmology and to the relic graviton background

53 pages, Latex, IOP style, 12 figures included using epsf. To appear in Proc. of the Second SIGRAV School on "Gravitational Waves in Astrophysics, Comology and String Theory" (Villa Olmo, Como, 19-24 April 1999), edited by V. Gorini et al

"Gravitational Waves", edited by I. Ciufolini, V. Gorini, U. Moschella and P. Fre' (IOP Publishing, Bristol, 2001), p. 280-337, ISBN: 0-7503-0741-2

10.1201/9781420034257.fmatt

BA-TH/99-345

hep-th gr-qc

null

This is a contracted version of a series of lectures for graduate and undergraduate students given at the {\sl "VI Seminario Nazionale di Fisica Teorica"} (Parma, September 1997), at the Second Int. Conference {\sl "Around VIRGO"} (Pisa, September 1998), and at the Second {\sl SIGRAV} School on {\sl "Gravitational Waves in Astrophysics, Cosmology and String Theory"} (Center "A. Volta", Como, April 1999). The aim is to provide an elementary, self-contained introduction to string cosmology and, in particular, to the background of relic cosmic gravitons predicted in the context of the so-called "pre-big bang" scenario. No special preparation is required besides a basic knowledge of general relativity and of standard (inflationary) cosmology. All the essential computations are reported in full details either in the main text or in the Appendices. For a deeper and more complete approach to the pre-big bang scenario the interested reader is referred to the updated collection of papers available at {\tt http://www.to.infn.it/\~{}gasperin/}.

[ { "created": "Fri, 9 Jul 1999 18:30:51 GMT", "version": "v1" } ]

2012-10-17

[ [ "Gasperini", "M.", "" ] ]

This is a contracted version of a series of lectures for graduate and undergraduate students given at the {\sl "VI Seminario Nazionale di Fisica Teorica"} (Parma, September 1997), at the Second Int. Conference {\sl "Around VIRGO"} (Pisa, September 1998), and at the Second {\sl SIGRAV} School on {\sl "Gravitational Waves in Astrophysics, Cosmology and String Theory"} (Center "A. Volta", Como, April 1999). The aim is to provide an elementary, self-contained introduction to string cosmology and, in particular, to the background of relic cosmic gravitons predicted in the context of the so-called "pre-big bang" scenario. No special preparation is required besides a basic knowledge of general relativity and of standard (inflationary) cosmology. All the essential computations are reported in full details either in the main text or in the Appendices. For a deeper and more complete approach to the pre-big bang scenario the interested reader is referred to the updated collection of papers available at {\tt http://www.to.infn.it/\~{}gasperin/}.

5.983187

6.873995

6.167311

6.282015

6.663247

7.174661

6.895494

6.873811

6.793673

6.431032

6.659058

5.897328

5.826779

5.799731

5.9748

5.885473

5.913186

5.819595

5.898362

5.952081

5.851848

0705.2980

Sergio Montanez

Geometric Transition as a Change of Polarization

20 pages

JHEP0711:035,2007

10.1088/1126-6708/2007/11/035

IFT-UAM/CSIC-07/26

hep-th

null

Taking the results of hep-th/0702110 we study the Dijkgraaf-Vafa open/closed topological string duality by considering the wavefunction behavior of the partition function. We find that the geometric transition associated with the duality can be seen as a change of polarization.

[ { "created": "Mon, 21 May 2007 14:04:41 GMT", "version": "v1" }, { "created": "Tue, 3 Jul 2007 14:01:51 GMT", "version": "v2" } ]

2008-11-26

[ [ "Montanez", "Sergio", "" ] ]

Taking the results of hep-th/0702110 we study the Dijkgraaf-Vafa open/closed topological string duality by considering the wavefunction behavior of the partition function. We find that the geometric transition associated with the duality can be seen as a change of polarization.

16.565212

11.262526

15.737584

11.244104

11.810241

10.920484

11.283786

12.094115

12.236921

15.044129

11.04333

11.33059

13.108065

11.527136

10.942998

11.058884

11.101373

11.637177

11.859962

13.309243

11.259232

hep-th/0401020

Edward Corrigan

P. Bowcock, E. Corrigan and C. Zambon

Affine Toda field theories with defects

26 pages

JHEP 0401 (2004) 056

10.1088/1126-6708/2004/01/056

null

hep-th nlin.SI

null

A Lagrangian approach is proposed and developed to study defects within affine Toda field theories. In particular, a suitable Lax pair is constructed together with examples of conserved charges. It is found that only those models based on $a_r^{(1)}$ data appear to allow defects preserving integrability. Surprisingly, despite the explicit breaking of Lorentz and translation invariance, modified forms of both energy and momentum are conserved. Some, but apparently not all, of the higher spin conserved charges are also preserved after the addition of contributions from the defect. This fact is illustrated by noting how defects may preserve a modified form of just one of the spin 2 or spin -2 charges but not both of them.

[ { "created": "Mon, 5 Jan 2004 17:45:28 GMT", "version": "v1" } ]

2009-11-10

[ [ "Bowcock", "P.", "" ], [ "Corrigan", "E.", "" ], [ "Zambon", "C.", "" ] ]

A Lagrangian approach is proposed and developed to study defects within affine Toda field theories. In particular, a suitable Lax pair is constructed together with examples of conserved charges. It is found that only those models based on $a_r^{(1)}$ data appear to allow defects preserving integrability. Surprisingly, despite the explicit breaking of Lorentz and translation invariance, modified forms of both energy and momentum are conserved. Some, but apparently not all, of the higher spin conserved charges are also preserved after the addition of contributions from the defect. This fact is illustrated by noting how defects may preserve a modified form of just one of the spin 2 or spin -2 charges but not both of them.

14.560888

12.374475

15.583965

12.428698

12.741448

11.645583

12.800201

12.142254

12.74335

18.131941

12.149453

12.738417

14.462331

12.43799

13.029682

13.253589

12.667321

12.845976

12.735475

13.804242

12.781356

2208.12586

Vasily Sazonov

Large-N dynamics of the spiked tensor model with random initial conditions

null

hep-th cond-mat.dis-nn cs.LG stat.ML

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

In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor model and show that the large-$N$ saddle point equations are dominated by the melonic type diagrams.

[ { "created": "Fri, 26 Aug 2022 11:14:21 GMT", "version": "v1" } ]

2022-08-29

[ [ "Sazonov", "Vasily", "" ] ]

In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor model and show that the large-$N$ saddle point equations are dominated by the melonic type diagrams.

12.389443

11.851814

11.928122

10.562168

10.532865

10.938388

9.960843

11.371402

10.523941

13.769898

10.551142

10.004637

11.562941

10.945437

10.61362

9.881657

10.1949

10.060627

10.694275

11.587734

11.313857

2111.08032

Ali Shehper

Sergei Gukov, Du Pei, Charles Reid, Ali Shehper

Symmetries of 2d TQFTs and Equivariant Verlinde Formulae for General Groups

39 pages, 6 figures

null

CALT-TH-2021-041, UTTG 23-2021

hep-th math-ph math.AG math.MP math.QA math.RT

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

We study (generalized) discrete symmetries of 2d semisimple TQFTs. These are 2d TQFTs whose fusion rules can be diagonalized. We show that, in this special basis, the 0-form symmetries always act as permutations while 1-form symmetries act by phases. This leads to an explicit description of the gauging of these symmetries. One application of our results is a generalization of the equivariant Verlinde formula to the case of general Lie groups. The generalized formula leads to many predictions for the geometry of Hitchin moduli spaces, which we explicitly check in several cases with low genus and SO(3) gauge group.

[ { "created": "Mon, 15 Nov 2021 19:00:12 GMT", "version": "v1" } ]

2021-11-17

[ [ "Gukov", "Sergei", "" ], [ "Pei", "Du", "" ], [ "Reid", "Charles", "" ], [ "Shehper", "Ali", "" ] ]

We study (generalized) discrete symmetries of 2d semisimple TQFTs. These are 2d TQFTs whose fusion rules can be diagonalized. We show that, in this special basis, the 0-form symmetries always act as permutations while 1-form symmetries act by phases. This leads to an explicit description of the gauging of these symmetries. One application of our results is a generalization of the equivariant Verlinde formula to the case of general Lie groups. The generalized formula leads to many predictions for the geometry of Hitchin moduli spaces, which we explicitly check in several cases with low genus and SO(3) gauge group.

8.159205

8.192238

9.453692

7.582512

8.060375

8.319699

8.55123

7.743921

7.715792

10.213202

7.772475

7.829936

8.588358

7.896029

8.052127

7.794145

7.855225

7.745091

7.926654

8.505611

7.564872

2107.07388

Aroonkumar Beesham

Oscillation of cosmic space in the background of two interacting tachyonic BIons

14 Pages, 3 figures

null

hep-th

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

When a brane-anti-brane system includes two tachyons, each of them produces a BIoninc wormhole. These wormholes interact with each other and form 4 regions. Two of the regions are related to the independent BIons which have been considered previously. However, two new regions correspond to the interacting BIons in which the cosmic parameters act oppositely to each other. We obtain the Hubble parameter and energy density of the universes in the new regions and show that by expanding a universe in one region, the universe in the other region contracts. Also, the evolution of the universes depend on the tachyonic fields, the separation between the branes and the size of the throats of the bionic wormholes.

[ { "created": "Tue, 6 Jul 2021 07:49:12 GMT", "version": "v1" } ]

2021-07-16

[ [ "Beesham", "Aroonkumar", "" ] ]

When a brane-anti-brane system includes two tachyons, each of them produces a BIoninc wormhole. These wormholes interact with each other and form 4 regions. Two of the regions are related to the independent BIons which have been considered previously. However, two new regions correspond to the interacting BIons in which the cosmic parameters act oppositely to each other. We obtain the Hubble parameter and energy density of the universes in the new regions and show that by expanding a universe in one region, the universe in the other region contracts. Also, the evolution of the universes depend on the tachyonic fields, the separation between the branes and the size of the throats of the bionic wormholes.

11.814456

11.699558

11.040568

10.899323

10.88057

11.072916

11.403603

10.334843

11.030893

12.029058

10.862716

10.521617

10.511357

10.618679

10.931539

10.63949

10.892816

10.845988

11.155578

10.648376

10.979763

1705.04705

Alexander Jahn

Alexander Jahn and Tadashi Takayanagi

Holographic Entanglement Entropy of Local Quenches in AdS$_4$/CFT$_3$: A Finite-Element Approach

35 pages, 15 figures

J. Phys. A: Math. Theor. 51 (2017) 015401

10.1088/1751-8121/aa8afa

YITP-17-38, IPMU17-0058

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

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

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of entanglement entropy turn into a problem of finding extremal surfaces in a curved spacetime, which we tackle with a numerical finite-element approach. In this paper, we compute the entanglement entropy between two half-spaces resulting from a local quench, triggered by a local operator insertion in a CFT$_3$. We find that the growth of entanglement entropy at early time agrees with the prediction from the first law, as long as the conformal dimension $\Delta$ of the local operator is small. Within the limited time region that we can probe numerically, we observe deviations from the first law and a transition to sub-linear growth at later time. In particular, the time dependence at large $\Delta$ shows qualitative differences to the simple logarithmic time dependence familiar from the CFT$_2$ case. We hope that our work will motivate further studies, both numerical and analytical, on entanglement entropy in higher dimensions.

[ { "created": "Fri, 12 May 2017 18:10:11 GMT", "version": "v1" }, { "created": "Thu, 25 May 2017 18:00:22 GMT", "version": "v2" } ]

2018-06-29

[ [ "Jahn", "Alexander", "" ], [ "Takayanagi", "Tadashi", "" ] ]

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of entanglement entropy turn into a problem of finding extremal surfaces in a curved spacetime, which we tackle with a numerical finite-element approach. In this paper, we compute the entanglement entropy between two half-spaces resulting from a local quench, triggered by a local operator insertion in a CFT$_3$. We find that the growth of entanglement entropy at early time agrees with the prediction from the first law, as long as the conformal dimension $\Delta$ of the local operator is small. Within the limited time region that we can probe numerically, we observe deviations from the first law and a transition to sub-linear growth at later time. In particular, the time dependence at large $\Delta$ shows qualitative differences to the simple logarithmic time dependence familiar from the CFT$_2$ case. We hope that our work will motivate further studies, both numerical and analytical, on entanglement entropy in higher dimensions.

6.900666

6.916591

6.969372

6.535238

6.876592

6.740604

6.864394

6.746713

6.970263

6.848225

6.832075

6.639668

6.678658

6.505543

6.467772

6.417603

6.381383

6.3901

6.397805

6.617427

6.509176

2105.01325

Yu. M. Zinoviev

M. V. Khabarov and Yu. M. Zinoviev

On massive spin-3/2 in the Fradkin-Vasiliev formalism

14 pages

Class. Quant. Grav. 38 (2021) 195012

10.1088/1361-6382/ac1c1e

null

hep-th

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

One of the possible approaches to the construction of massive higher spin interactions is to use their gauge invariant description based on the introduction of the appropriate set of Stueckelberg fields. Recently, the general properties of such approach were investigated in [1]. The main findings of this work can be formulated in two statements. At first, there always exist enough field redefinitions to bring the vertex into abelian form where there are some corrections to the gauge transformations but the gauge algebra is undeformed. At second, with the further (as a rule higher derivative) field redefinitions one can bring the vertex into trivially gauge invariant form expressed in terms of the gauge invariant objects of the free theory. Our aim in this work is to show (using a simple example) how these general properties are realised in the so-called Fradkin-Vasiliev formalism and to see the effects (if any) that the presence of massless field, and hence of some unbroken gauge symmetries, can produce. As such example we take the gravitational interaction for massive spin-3/2 field so we complete the investigation started in [2] relaxing all restrictions on the number of derivatives and allowed field redefinitions. We show that in spite of the presence of massless spin-2 field, the first statement is still valid, while there exist two abelian vertices which are not equivalent on-shell to the trivially gauge invariant ones. Moreover, it is one of this abelian vertices that reproduce the minimal interaction for massive spin-3/2.

[ { "created": "Tue, 4 May 2021 07:14:23 GMT", "version": "v1" } ]

2021-09-01

[ [ "Khabarov", "M. V.", "" ], [ "Zinoviev", "Yu. M.", "" ] ]

One of the possible approaches to the construction of massive higher spin interactions is to use their gauge invariant description based on the introduction of the appropriate set of Stueckelberg fields. Recently, the general properties of such approach were investigated in [1]. The main findings of this work can be formulated in two statements. At first, there always exist enough field redefinitions to bring the vertex into abelian form where there are some corrections to the gauge transformations but the gauge algebra is undeformed. At second, with the further (as a rule higher derivative) field redefinitions one can bring the vertex into trivially gauge invariant form expressed in terms of the gauge invariant objects of the free theory. Our aim in this work is to show (using a simple example) how these general properties are realised in the so-called Fradkin-Vasiliev formalism and to see the effects (if any) that the presence of massless field, and hence of some unbroken gauge symmetries, can produce. As such example we take the gravitational interaction for massive spin-3/2 field so we complete the investigation started in [2] relaxing all restrictions on the number of derivatives and allowed field redefinitions. We show that in spite of the presence of massless spin-2 field, the first statement is still valid, while there exist two abelian vertices which are not equivalent on-shell to the trivially gauge invariant ones. Moreover, it is one of this abelian vertices that reproduce the minimal interaction for massive spin-3/2.

9.35167

9.295753

9.852078

9.20341

9.383239

9.370127

9.745962

8.831083

8.489782

10.437419

8.689037

8.930464

9.566087

9.230764

8.697666

9.025046

8.80046

8.896757

8.94736

9.506464

8.969822

hep-th/0604071

C\'esar Seijas

Cesar Seijas

Two loop divergences studied with one loop Constrained Differential Renormalization

33 pages, 5 figures

AnnalsPhys.322:1972-2006,2007

10.1016/j.aop.2006.12.001

null

hep-th

null

In the context of Differential Renormalization, using Constrained Differential Renormalization rules at one loop, we show how to obtain concrete results in two loop calculations without making use of Ward identities. In order to do that, we obtain a list of integrals with overlapping divergences compatible with CDR that can be applied to various two loop background field calculations. As an example, we obtain the two loop coefficient of the beta function of QED, SuperQED and Yang-Mills theory.

[ { "created": "Mon, 10 Apr 2006 15:13:44 GMT", "version": "v1" } ]

2008-11-26

[ [ "Seijas", "Cesar", "" ] ]

In the context of Differential Renormalization, using Constrained Differential Renormalization rules at one loop, we show how to obtain concrete results in two loop calculations without making use of Ward identities. In order to do that, we obtain a list of integrals with overlapping divergences compatible with CDR that can be applied to various two loop background field calculations. As an example, we obtain the two loop coefficient of the beta function of QED, SuperQED and Yang-Mills theory.

11.60979

10.515536

11.823375

10.240125

10.450956

10.711507

10.786869

10.90849

10.781025

12.252225

10.36825

10.740627

11.469498

10.484491

10.563511

10.693006

10.408842

10.844594

10.529851

10.82298

10.729738

1612.00721

Seyed Hossein Hendi Dr.

S. H. Hendi, B. Eslam Panah, S. Panahiyan and M. S. Talezadeh

Geometrical thermodynamics and P-V criticality of the black holes with power-law Maxwell field

18 pages with 12 captioned figures. Published version

Eur. Phys. J. C 77 (2017) 133

10.1140/epjc/s10052-017-4693-0

null

hep-th gr-qc

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

We study thermodynamical structure of Einstein black holes in the presence of power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior of the temperature and conditions regarding the stability of these black holes are investigated. Since the language of geometry is an effective method in general relativity, we concentrate on the geometrical thermodynamics to build a phase space for studying phase transition. In addition, taking into account the denominator of the heat capacity, we use the proportionality between cosmological constant and thermodynamical pressure to extract the critical values for these black holes. Besides, the effects of the variation of different parameters on thermodynamical structure of these black holes are investigated. In addition, some thermodynamical properties such as volume expansion coefficient, speed of sound and isothermal compressibility coefficient are calculated and some remarks regarding these quantities are given.

[ { "created": "Thu, 1 Dec 2016 17:40:47 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 2017 17:21:55 GMT", "version": "v2" } ]

2017-06-13

[ [ "Hendi", "S. H.", "" ], [ "Panah", "B. Eslam", "" ], [ "Panahiyan", "S.", "" ], [ "Talezadeh", "M. S.", "" ] ]

We study thermodynamical structure of Einstein black holes in the presence of power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior of the temperature and conditions regarding the stability of these black holes are investigated. Since the language of geometry is an effective method in general relativity, we concentrate on the geometrical thermodynamics to build a phase space for studying phase transition. In addition, taking into account the denominator of the heat capacity, we use the proportionality between cosmological constant and thermodynamical pressure to extract the critical values for these black holes. Besides, the effects of the variation of different parameters on thermodynamical structure of these black holes are investigated. In addition, some thermodynamical properties such as volume expansion coefficient, speed of sound and isothermal compressibility coefficient are calculated and some remarks regarding these quantities are given.

8.851532

9.425886

8.21172

7.927884

8.420546

8.416692

8.383385

7.625955

8.383224

8.046587

8.256043

8.505117

8.008073

7.932283

7.910897

8.006736

8.302581

8.048633

8.163119

8.103674

8.409498

hep-th/9606050

Horst Kausch

Matthias R. Gaberdiel, Horst G. Kausch

A Rational Logarithmic Conformal Field Theory

10 pages, LaTeX

Phys.Lett. B386 (1996) 131-137

10.1016/0370-2693(96)00949-5

DAMTP 96-54

hep-th

null

We analyse the fusion of representations of the triplet algebra, the maximally extended symmetry algebra of the Virasoro algebra at c=-2. It is shown that there exists a finite number of representations which are closed under fusion. These include all irreducible representations, but also some reducible representations which appear as indecomposable components in fusion products.

[ { "created": "Mon, 10 Jun 1996 21:19:10 GMT", "version": "v1" } ]

2009-10-30

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Kausch", "Horst G.", "" ] ]

We analyse the fusion of representations of the triplet algebra, the maximally extended symmetry algebra of the Virasoro algebra at c=-2. It is shown that there exists a finite number of representations which are closed under fusion. These include all irreducible representations, but also some reducible representations which appear as indecomposable components in fusion products.

9.701856

6.215602

9.107608

6.255288

6.437193

5.849047

5.858151

6.067584

5.739889

10.090362

6.763189

6.440392

9.102302

6.78563

6.974562

6.63695

6.476061

6.52904

6.792371

9.286289

6.78323

hep-th/9610198

Ctirad Klimcik

C. Klimcik, P. Severa

T-duality and the moment map

7 pages, LaTeX, acknowledgement added

null

IHES/P/96/70

hep-th

null

Aspects of Poisson-Lie T-duality are reviewed in more algebraic way than in our, rather geometric, previous papers. As a new result, a moment map is constructed for the Poisson-Lie symmetry of the system consisting of open strings propagating in a Poisson-Lie group manifold.

[ { "created": "Fri, 25 Oct 1996 10:25:14 GMT", "version": "v1" }, { "created": "Tue, 29 Oct 1996 15:56:10 GMT", "version": "v2" } ]

2008-02-03

[ [ "Klimcik", "C.", "" ], [ "Severa", "P.", "" ] ]

Aspects of Poisson-Lie T-duality are reviewed in more algebraic way than in our, rather geometric, previous papers. As a new result, a moment map is constructed for the Poisson-Lie symmetry of the system consisting of open strings propagating in a Poisson-Lie group manifold.

12.252868

9.556772

11.617555

9.554029

10.041533

10.928243

9.255922

9.803934

10.395245

10.978475

8.903656

9.948236

10.01078

9.510035

10.212352

9.535803

9.172029

9.914843

9.983763

9.952444

9.897126

1101.0215

Pallab Basu

Low temperature properties of holographic condensates

17 Pages

JHEP 1103:142,2011

10.1007/JHEP03(2011)142

null

hep-th

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

In the current work we study various models of holographic superconductors at low temperature. Generically the zero temperature limit of those models are solitonic solution with a zero sized horizon. Here we generalized simple version of those zero temperature solutions to small but non-zero temperature T. We confine ourselves to cases where near horizon geometry is AdS^4. At a non-zero temperature a small horizon would form deep inside this AdS^4 which does not disturb the UV physics. The resulting geometry may be matched with the zero temperature solution at an intermediate length scale. We understand this matching from separation of scales by setting up a perturbative expansion in gauge potential. We have a better analytic control in abelian case and quantities may be expressed in terms of hypergeometric function. From this we calculate low temperature behavior of various quatities like entropy, charge density and specific heat etc. We also calculate various energy gaps associated with p-wave holographic superconductor to understand the underlying pairing mechanism. The result deviates significantly from the corresponding weak coupling BCS counterpart.

[ { "created": "Fri, 31 Dec 2010 07:55:11 GMT", "version": "v1" }, { "created": "Sat, 28 May 2011 06:17:41 GMT", "version": "v2" }, { "created": "Thu, 16 Jun 2011 18:20:14 GMT", "version": "v3" } ]

2011-06-17

[ [ "Basu", "Pallab", "" ] ]

In the current work we study various models of holographic superconductors at low temperature. Generically the zero temperature limit of those models are solitonic solution with a zero sized horizon. Here we generalized simple version of those zero temperature solutions to small but non-zero temperature T. We confine ourselves to cases where near horizon geometry is AdS^4. At a non-zero temperature a small horizon would form deep inside this AdS^4 which does not disturb the UV physics. The resulting geometry may be matched with the zero temperature solution at an intermediate length scale. We understand this matching from separation of scales by setting up a perturbative expansion in gauge potential. We have a better analytic control in abelian case and quantities may be expressed in terms of hypergeometric function. From this we calculate low temperature behavior of various quatities like entropy, charge density and specific heat etc. We also calculate various energy gaps associated with p-wave holographic superconductor to understand the underlying pairing mechanism. The result deviates significantly from the corresponding weak coupling BCS counterpart.

16.190449

17.628939

17.060608

15.232885

16.424486

16.488791

16.621346

16.915508

16.220852

19.167768

15.753344

15.685807

15.815918

15.36426

15.271035

15.724045

16.230515

16.110123

15.501071

16.560568

15.399543

1108.5317

Toshifumi Noumi

Toshifumi Noumi, Yuji Okawa

Solutions from boundary condition changing operators in open superstring field theory

33 pages, no figures, LaTeX2e; v2: minor corrections; v3: minor revision, published version

JHEP 1112:034,2011

10.1007/JHEP12(2011)034

UT-Komaba/11-6

hep-th

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

We construct analytic solutions of open superstring field theory in the Berkovits formulation using boundary condition changing operators under some regularity conditions, extending the previous construction in the bosonic string. We also consider the gauge-invariant observables corresponding to closed string one-point functions on the disk. We analytically calculate the gauge-invariant observables for the solutions both in the bosonic string and in the superstring and find the expected change of boundary conditions of the disk.

[ { "created": "Fri, 26 Aug 2011 14:45:55 GMT", "version": "v1" }, { "created": "Wed, 14 Sep 2011 09:30:55 GMT", "version": "v2" }, { "created": "Tue, 13 Dec 2011 07:51:07 GMT", "version": "v3" } ]

2012-06-13

[ [ "Noumi", "Toshifumi", "" ], [ "Okawa", "Yuji", "" ] ]

We construct analytic solutions of open superstring field theory in the Berkovits formulation using boundary condition changing operators under some regularity conditions, extending the previous construction in the bosonic string. We also consider the gauge-invariant observables corresponding to closed string one-point functions on the disk. We analytically calculate the gauge-invariant observables for the solutions both in the bosonic string and in the superstring and find the expected change of boundary conditions of the disk.

8.531329

7.018289

10.413116

8.44231

7.488253

7.641847

7.263978

7.493096

7.988863

11.007619

7.885949

8.531057

9.43649

8.163731

8.350669

7.957835

7.767469

7.846888

7.710044

8.904155

7.599788

hep-th/0405133

Diethard Peter

The Presentation of the Quantum Algebra of Observables of the Closed Bosonic String in 1+3 Dimensions: The Presentation in Manifestly Lorentz Covariant Form

11 Pages

null

hep-th

null

The quantum algebra of observables of the massive closed bosonic string in 1+3 dimensions has been developed so far in the rest frame of the string. In this paper a method to write this algebra in a manifestly Lorentz covariant form is explained and compared with an alternative approach in the literature.

[ { "created": "Fri, 14 May 2004 13:01:35 GMT", "version": "v1" }, { "created": "Wed, 26 May 2004 16:09:56 GMT", "version": "v2" } ]

2007-05-23

[ [ "Peter", "Diethard", "" ] ]

The quantum algebra of observables of the massive closed bosonic string in 1+3 dimensions has been developed so far in the rest frame of the string. In this paper a method to write this algebra in a manifestly Lorentz covariant form is explained and compared with an alternative approach in the literature.

9.641619

7.262224

7.735285

7.026297

7.868628

7.200201

6.61305

6.610568

6.943083

7.292494

7.370079

6.996063

7.9861

7.402851

7.532811

7.347933

7.645378

7.376048

7.799387

8.041317

7.156306

hep-th/0107148

Martin Aaron Bucher

Martin Bucher (DAMTP, University of Cambridge)

A Braneworld Universe From Colliding Bubbles

15 pages Latex (seven ps figures). Minor revisions, references added and figures improved

null

10.1016/S0370-2693(02)01325-4

null

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

null

Much work has been devoted to the phenomenology and cosmology of the so-called braneworld universe, where our (3+1)-dimensional universe lies on a brane surrounded by a (4+1)-dimensional bulk spacetime that is essentially empty except for a negative cosmological constant and the various modes associated with gravity. For such a braneworld cosmology, the difficulty of justifying some preferred initial conditions inevitably arises. The various proposals for inflation restricted to the brane only partially explain the homogeneity and isotropy of the resulting braneworld universe because the homogeneity and isotropy of the bulk must be assumed. We propose a mechanism by which a brane surrounded by AdS space arises naturally so that the homogeneity and isotropy of both the brane and the bulk are guaranteed. We postulate an initial false vacuum phase of (4+1)-dimensional Minkowski or de Sitter space subsequently decaying to a true vacuum of anti-de Sitter space, assumed discretely degenerate. This decay takes place through bubble nucleation. When two bubbles of the true AdS vacuum collide, a brane (or domain wall) inevitably forms between the two AdS phases. We live on this brane. The SO(3,1) symmetry of the collision geometry ensures the three-dimensional spatial homogeneity and isotropy of the universe on the brane as well as of the bulk. In the semi-classical limit, this symmetry is exact. We sketch how the leading quantum corrections translate into cosmological perturbations.

[ { "created": "Wed, 18 Jul 2001 10:38:47 GMT", "version": "v1" }, { "created": "Sun, 6 Jan 2002 13:49:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Bucher", "Martin", "", "DAMTP, University of Cambridge" ] ]

Much work has been devoted to the phenomenology and cosmology of the so-called braneworld universe, where our (3+1)-dimensional universe lies on a brane surrounded by a (4+1)-dimensional bulk spacetime that is essentially empty except for a negative cosmological constant and the various modes associated with gravity. For such a braneworld cosmology, the difficulty of justifying some preferred initial conditions inevitably arises. The various proposals for inflation restricted to the brane only partially explain the homogeneity and isotropy of the resulting braneworld universe because the homogeneity and isotropy of the bulk must be assumed. We propose a mechanism by which a brane surrounded by AdS space arises naturally so that the homogeneity and isotropy of both the brane and the bulk are guaranteed. We postulate an initial false vacuum phase of (4+1)-dimensional Minkowski or de Sitter space subsequently decaying to a true vacuum of anti-de Sitter space, assumed discretely degenerate. This decay takes place through bubble nucleation. When two bubbles of the true AdS vacuum collide, a brane (or domain wall) inevitably forms between the two AdS phases. We live on this brane. The SO(3,1) symmetry of the collision geometry ensures the three-dimensional spatial homogeneity and isotropy of the universe on the brane as well as of the bulk. In the semi-classical limit, this symmetry is exact. We sketch how the leading quantum corrections translate into cosmological perturbations.

7.466939

8.043757

8.057639

7.666749

8.227974

7.783677

8.106304

7.72367

7.499124

8.50429

7.612674

7.564409

7.404991

7.39018

7.509414

7.567683

7.612916

7.40412

7.366491

7.539157

7.545547

1007.2202

Steven Avery

Steven G. Avery and Borun D. Chowdhury

Intertwining Relations for the Deformed D1D5 CFT

latex, 23 pages, 3 figures

JHEP 1105:025,2011

10.1007/JHEP05(2011)025

null

hep-th

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

The Higgs branch of the D1D5 system flows in the infrared to a two-dimensional N=(4,4) SCFT. This system is believed to have an "orbifold point" in its moduli space where the SCFT is a free sigma model with target space the symmetric product of copies of four-tori; however, at the orbifold point gravity is strongly coupled and to reach the supergravity point one needs to turn on the four exactly marginal deformations corresponding to the blow-up modes of the orbifold SCFT. Recently, technology has been developed for studying these deformations and perturbing the D1D5 CFT off its orbifold point. We present a new method for computing the general effect of a single application of the deformation operators. The method takes the form of intertwining relations that map operators in the untwisted sector before application of the deformation operator to operators in the 2-twisted sector after the application of the deformation operator. This method is computationally more direct, and may be of theoretical interest. This line of inquiry should ultimately have relevance for black hole physics.

[ { "created": "Tue, 13 Jul 2010 21:04:23 GMT", "version": "v1" } ]

2011-05-09

[ [ "Avery", "Steven G.", "" ], [ "Chowdhury", "Borun D.", "" ] ]

The Higgs branch of the D1D5 system flows in the infrared to a two-dimensional N=(4,4) SCFT. This system is believed to have an "orbifold point" in its moduli space where the SCFT is a free sigma model with target space the symmetric product of copies of four-tori; however, at the orbifold point gravity is strongly coupled and to reach the supergravity point one needs to turn on the four exactly marginal deformations corresponding to the blow-up modes of the orbifold SCFT. Recently, technology has been developed for studying these deformations and perturbing the D1D5 CFT off its orbifold point. We present a new method for computing the general effect of a single application of the deformation operators. The method takes the form of intertwining relations that map operators in the untwisted sector before application of the deformation operator to operators in the 2-twisted sector after the application of the deformation operator. This method is computationally more direct, and may be of theoretical interest. This line of inquiry should ultimately have relevance for black hole physics.

9.396537

9.672459

10.362455

8.613465

9.668362

9.480392

9.558951

9.681936

9.045946

10.716623

9.056179

8.790378

9.326126

8.838205

9.046469

8.965319

9.003352

8.807451

8.987536

9.258286

8.729139

1102.1587

Norberto Gutierrez

Norberto Gutierrez, Yolanda Lozano, Diego Rodriguez-Gomez

Charged Particle-like Branes in ABJM: A Summary

6 pages. Contribution to the proceedings of the XVIth European Workshop on String Theory, Madrid, Spain, June 14-18 2010; based on a talk given by N. Gutierrez

null

10.1002/prop.201100024

null

hep-th

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

We study the effect of adding lower dimensional brane charges to the 't Hooft monopole, di-baryon and baryon vertex configurations in AdS_4 x CP^3. We show that these configurations capture the background fluxes in a way that depends on the induced charges, requiring additional fundamental strings to cancel the worldvolume tadpoles. The dynamics reveal that the charges must lie inside some interval, a situation familiar from the baryon vertex in AdS_5 x S^5 with charges. For the baryon vertex and the di-baryon the number of fundamental strings must also lie inside an allowed interval. Some ideas about the existence of these bounds in relation to the stringy exclusion principle are given.

[ { "created": "Tue, 8 Feb 2011 12:35:11 GMT", "version": "v1" } ]

2015-05-27

[ [ "Gutierrez", "Norberto", "" ], [ "Lozano", "Yolanda", "" ], [ "Rodriguez-Gomez", "Diego", "" ] ]

We study the effect of adding lower dimensional brane charges to the 't Hooft monopole, di-baryon and baryon vertex configurations in AdS_4 x CP^3. We show that these configurations capture the background fluxes in a way that depends on the induced charges, requiring additional fundamental strings to cancel the worldvolume tadpoles. The dynamics reveal that the charges must lie inside some interval, a situation familiar from the baryon vertex in AdS_5 x S^5 with charges. For the baryon vertex and the di-baryon the number of fundamental strings must also lie inside an allowed interval. Some ideas about the existence of these bounds in relation to the stringy exclusion principle are given.

11.605631

10.728652

13.95505

10.669273

11.954029

11.58952

11.286229

11.758381

10.576399

13.647315

10.768119

10.677565

11.940667

11.079125

10.898147

11.033

10.818693

10.848543

11.064644

11.537259

10.743542

2308.03753

Andrzej Pokraka

Shounak De and Andrzej Pokraka

Cosmology meets cohomology

36+3 pages, 8 figures; included ancillary files

null

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

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

The cosmological polytope and bootstrap programs have revealed interesting connections between positive geometries, modern on-shell methods and bootstrap principles studied in the amplitudes community with the wavefunction of the Universe in toy models of FRW cosmologies. To compute these FRW correlators, one often faces integrals that are too difficult to evaluate by direct integration. Borrowing from the Feynman integral community, the method of (canonical) differential equations provides an efficient alternative for evaluating these integrals. Moreover, we further develop our geometric understanding of these integrals by describing the associated \emph{relative} twisted cohomology. Leveraging recent progress in our understanding of relative twisted cohomology in the Feynman integral community, we give an algorithm to predict the basis size and simplify the computation of the differential equations satisfied by FRW correlators.

[ { "created": "Mon, 7 Aug 2023 17:59:22 GMT", "version": "v1" } ]

2023-08-08

[ [ "De", "Shounak", "" ], [ "Pokraka", "Andrzej", "" ] ]

The cosmological polytope and bootstrap programs have revealed interesting connections between positive geometries, modern on-shell methods and bootstrap principles studied in the amplitudes community with the wavefunction of the Universe in toy models of FRW cosmologies. To compute these FRW correlators, one often faces integrals that are too difficult to evaluate by direct integration. Borrowing from the Feynman integral community, the method of (canonical) differential equations provides an efficient alternative for evaluating these integrals. Moreover, we further develop our geometric understanding of these integrals by describing the associated \emph{relative} twisted cohomology. Leveraging recent progress in our understanding of relative twisted cohomology in the Feynman integral community, we give an algorithm to predict the basis size and simplify the computation of the differential equations satisfied by FRW correlators.

15.231545

14.405133

16.366762

14.215466

14.870504

14.535378

13.159918

14.184248

14.478782

18.005516

13.561045

14.140433

14.433871

13.886328

14.74633

14.066539

14.449159

14.264031

13.978969

14.813466

13.74949

1909.11063

Alek Bedroya

Alek Bedroya and Cumrun Vafa

Trans-Planckian Censorship and the Swampland

The changes made to the abstract and introduction in the previous version are clarified

null

10.1007/JHEP09(2020)123

null

hep-th astro-ph.CO gr-qc hep-ph

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

In this paper, we propose a new Swampland condition, the Trans-Planckian Censorship Conjecture (TCC), based on the idea that in a consistent quantum theory of gravity sub-Planckian quantum fluctuations should remain quantum and never become larger than the Hubble horizon and freeze in an expanding universe. TCC leads to conditions that are similar to the refined dS Swampland conjecture. For example, applied to the case of cosmologies driven only by a scalar field, the TCC imposes an upper bound of $2/\sqrt{d-2}$ on the asymptotic value of $|V'|/V$. Additionally, it implies that a monotonically decreasing potential across $[\phi_1,\phi_2]$ satisfies $V(\phi_2)\leq A\cdot\exp(-2(\phi_2-\phi_1))/\sqrt{(d-1)(d-2)})$ for some $\mathcal{O}(1)$ constant $A$. Like the dS Swampland conjecture, the TCC forbids long-lived meta-stable dS spaces, but allows sufficiently short-lived ones.

[ { "created": "Tue, 24 Sep 2019 17:32:44 GMT", "version": "v1" }, { "created": "Tue, 15 Oct 2019 18:00:31 GMT", "version": "v2" }, { "created": "Mon, 24 May 2021 17:59:38 GMT", "version": "v3" }, { "created": "Fri, 23 Jun 2023 17:37:38 GMT", "version": "v4" }, { "created": "Mon, 7 Aug 2023 17:57:57 GMT", "version": "v5" } ]

2023-08-08

[ [ "Bedroya", "Alek", "" ], [ "Vafa", "Cumrun", "" ] ]

In this paper, we propose a new Swampland condition, the Trans-Planckian Censorship Conjecture (TCC), based on the idea that in a consistent quantum theory of gravity sub-Planckian quantum fluctuations should remain quantum and never become larger than the Hubble horizon and freeze in an expanding universe. TCC leads to conditions that are similar to the refined dS Swampland conjecture. For example, applied to the case of cosmologies driven only by a scalar field, the TCC imposes an upper bound of $2/\sqrt{d-2}$ on the asymptotic value of $|V'|/V$. Additionally, it implies that a monotonically decreasing potential across $[\phi_1,\phi_2]$ satisfies $V(\phi_2)\leq A\cdot\exp(-2(\phi_2-\phi_1))/\sqrt{(d-1)(d-2)})$ for some $\mathcal{O}(1)$ constant $A$. Like the dS Swampland conjecture, the TCC forbids long-lived meta-stable dS spaces, but allows sufficiently short-lived ones.

5.913879

6.035127

6.590697

5.59128

5.973636

5.793835

5.984097

5.981643

6.096611

6.142342

5.925784

5.617916

5.693931

5.589284

5.65057

5.860145

5.649492

5.741037

5.51247

5.856431

5.805857

1112.4611

Ralph Blumenhagen

Nonassociativity in String Theory

13 pages, contribution to the "Max Kreuzer Memorial Volume"

null

MPP-2011-152

hep-th

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

I summarize some of the ideas and motivations behind a recently performed conformal field theory analysis of closed strings in both geometric and nongeometric three-form flux backgrounds. This suggests an underlying nonassociative structure for the coordinates.

[ { "created": "Tue, 20 Dec 2011 09:00:11 GMT", "version": "v1" } ]

2011-12-21

[ [ "Blumenhagen", "Ralph", "" ] ]

I summarize some of the ideas and motivations behind a recently performed conformal field theory analysis of closed strings in both geometric and nongeometric three-form flux backgrounds. This suggests an underlying nonassociative structure for the coordinates.

27.495625

16.463806

27.994703

16.432434

16.965567

19.952396

18.02442

18.370068

18.690578

26.357361

15.448698

18.158073

21.554642

18.749962

18.056858

18.458918

18.136242

18.148855

18.773638

20.690937

18.25783

1007.4761

Jos\'e M. Figueroa-O'Farrill

Paul de Medeiros and Jos\'e Figueroa-O'Farrill

Half-BPS M2-brane orbifolds

51 pages; v3: substantial revision (20% longer): we had missed some cases, but the paper now includes a check of our results via comparison with extant classification of finite subgroups of SO(4)

null

EMPG-10-14

hep-th math.DG math.GR

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

Smooth Freund-Rubin backgrounds of eleven-dimensional supergravity of the form AdS_4 x X^7 and preserving at least half of the supersymmetry have been recently classified. Requiring that amount of supersymmetry forces X to be a spherical space form, whence isometric to the quotient of the round 7-sphere by a freely-acting finite subgroup of SO(8). The classification is given in terms of ADE subgroups of the quaternions embedded in SO(8) as the graph of an automorphism. In this paper we extend this classification by dropping the requirement that the background be smooth, so that X is now allowed to be an orbifold of the round 7-sphere. We find that if the background preserves more than half of the supersymmetry, then it is automatically smooth in accordance with the homogeneity conjecture, but that there are many half-BPS orbifolds, most of them new. The classification is now given in terms of pairs of ADE subgroups of quaternions fibred over the same finite group. We classify such subgroups and then describe the resulting orbifolds in terms of iterated quotients. In most cases the resulting orbifold can be described as a sequence of cyclic quotients.

[ { "created": "Tue, 27 Jul 2010 15:52:22 GMT", "version": "v1" }, { "created": "Tue, 3 Aug 2010 02:24:12 GMT", "version": "v2" }, { "created": "Wed, 25 Aug 2010 17:11:04 GMT", "version": "v3" } ]

2010-08-26

[ [ "de Medeiros", "Paul", "" ], [ "Figueroa-O'Farrill", "José", "" ] ]

Smooth Freund-Rubin backgrounds of eleven-dimensional supergravity of the form AdS_4 x X^7 and preserving at least half of the supersymmetry have been recently classified. Requiring that amount of supersymmetry forces X to be a spherical space form, whence isometric to the quotient of the round 7-sphere by a freely-acting finite subgroup of SO(8). The classification is given in terms of ADE subgroups of the quaternions embedded in SO(8) as the graph of an automorphism. In this paper we extend this classification by dropping the requirement that the background be smooth, so that X is now allowed to be an orbifold of the round 7-sphere. We find that if the background preserves more than half of the supersymmetry, then it is automatically smooth in accordance with the homogeneity conjecture, but that there are many half-BPS orbifolds, most of them new. The classification is now given in terms of pairs of ADE subgroups of quaternions fibred over the same finite group. We classify such subgroups and then describe the resulting orbifolds in terms of iterated quotients. In most cases the resulting orbifold can be described as a sequence of cyclic quotients.

6.703427

6.679066

7.012714

6.312558

6.397065

6.564074

6.679565

6.6753

6.565447

7.552299

6.81122

6.237512

6.439797

5.939939

6.058778

6.060188

6.132333

5.880514

5.923886

6.133515

6.534659

0912.4261

Meng-Chwan Tan

Integration Over The u-Plane In Donaldson Theory With Surface Operators

114 pages. Published version; typos corrected. See also sequel arXiv:1006.3313

JHEP 1105:007,2011

10.1007/JHEP05(2011)007

null

hep-th math.DG math.GT

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

We generalize the analysis by Moore and Witten in [arXiv:hep-th/9709193], and consider integration over the u-plane in Donaldson theory with surface operators on a smooth four-manifold X. Several novel aspects will be developed in the process; like a physical interpretation of the "ramified" Donaldson and Seiberg-Witten invariants, and the concept of curved surface operators which are necessarily topological at the outset. Elegant physical proofs -- rooted in R-anomaly cancellations and modular invariance over the u-plane -- of various seminal results in four-dimensional geometric topology obtained by Kronheimer and Mrowka [1,2] -- such as a universal formula relating the "ramified" and ordinary Donaldson invariants, and a generalization of the celebrated Thom conjecture -- will be furnished. Wall-crossing and blow-up formulas of these "ramified" invariants which have not been computed in the mathematical literature before, as well as a generalization and a Seiberg-Witten analog of the universal formula as implied by an electric-magnetic duality of trivially-embedded surface operators in X, will also be presented, among other things.

[ { "created": "Mon, 21 Dec 2009 21:15:56 GMT", "version": "v1" }, { "created": "Thu, 1 Apr 2010 17:26:55 GMT", "version": "v2" }, { "created": "Thu, 5 May 2011 15:59:03 GMT", "version": "v3" } ]

2011-05-09

[ [ "Tan", "Meng-Chwan", "" ] ]

We generalize the analysis by Moore and Witten in [arXiv:hep-th/9709193], and consider integration over the u-plane in Donaldson theory with surface operators on a smooth four-manifold X. Several novel aspects will be developed in the process; like a physical interpretation of the "ramified" Donaldson and Seiberg-Witten invariants, and the concept of curved surface operators which are necessarily topological at the outset. Elegant physical proofs -- rooted in R-anomaly cancellations and modular invariance over the u-plane -- of various seminal results in four-dimensional geometric topology obtained by Kronheimer and Mrowka [1,2] -- such as a universal formula relating the "ramified" and ordinary Donaldson invariants, and a generalization of the celebrated Thom conjecture -- will be furnished. Wall-crossing and blow-up formulas of these "ramified" invariants which have not been computed in the mathematical literature before, as well as a generalization and a Seiberg-Witten analog of the universal formula as implied by an electric-magnetic duality of trivially-embedded surface operators in X, will also be presented, among other things.

12.418531

12.264538

14.568247

11.696138

11.777584

11.942084

12.017743

11.076138

11.807039

15.129503

11.711132

11.704871

12.275332

11.821033

11.98927

12.128551

11.776436

11.808323

11.823239

12.413811

11.952498

hep-th/9805093

Bert Schroer

B. Schroer (FU-Berlin)

Localization and Nonperturbative Local Quantum Physics

This is a collection of lecture notes which will appear as CBPF "Notas de Aula". There are 3 parts: the tcilatex-file of the main text (235 pages), a picture and an appendix which consists of a scanned article related to chapter 6.8. Because of its length this last file should only be openend after having read that chapter. Updated main file

null

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

null

The main content of this treatise is a new concept in nonperturbative non-Lagrangian QFT which explains and extends the ad hoc constructions in low-dimensional models and incorporates them together with the higher dimensional theories into a new construction method. Thermal and entropical properties, which were hitherto restricted to situations with classical horizons (Killing vectors), are now generic (nonperturbative) aspects of "modular localization". The underlying more algebraic (and less geometric) mode of thinking also gives rise to interesting questions in renormalizable deformatioms of higher spin fields, in particular gauge theories.

[ { "created": "Fri, 15 May 1998 11:38:03 GMT", "version": "v1" } ]

2009-09-25

[ [ "Schroer", "B.", "", "FU-Berlin" ] ]

The main content of this treatise is a new concept in nonperturbative non-Lagrangian QFT which explains and extends the ad hoc constructions in low-dimensional models and incorporates them together with the higher dimensional theories into a new construction method. Thermal and entropical properties, which were hitherto restricted to situations with classical horizons (Killing vectors), are now generic (nonperturbative) aspects of "modular localization". The underlying more algebraic (and less geometric) mode of thinking also gives rise to interesting questions in renormalizable deformatioms of higher spin fields, in particular gauge theories.

29.309244

28.835102

29.114195

25.424208

28.849054

27.091953

27.918617

26.421928

27.275484

36.1642

26.304554

26.538263

28.814636

27.32251

25.722767

25.169624

25.974472

26.703562

26.9195

28.303282

26.561298

1003.5985

Taichiro Kugo

Taichiro Kugo and Tsutomu T. Yanagida

Coupling Supersymmetric Nonlinear Sigma Models to Supergravity

14 pages, LaTeX2e

Prog.Theor.Phys.124:555-565,2010

10.1143/PTP.124.555

IPMU 10-0052, YITP-10-24

hep-th hep-ph

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

It is known that supersymmetric nonlinear sigma models for the compact Kahler manifolds G/H cannot be consistently coupled to supergravity, since the Kahler potentials are not invariant under the G transformation. We show that the supersymmetric nonlinear sigma models can be deformed such that the Kahler potential be exactly G-invariant if and only if one enlarges the manifolds by dropping all the U(1)'s in the unbroken subgroup H. Then, those nonlinear sigma models can be coupled to supergravity without losing the G invariance.

[ { "created": "Wed, 31 Mar 2010 07:29:27 GMT", "version": "v1" } ]

2011-02-03

[ [ "Kugo", "Taichiro", "" ], [ "Yanagida", "Tsutomu T.", "" ] ]

It is known that supersymmetric nonlinear sigma models for the compact Kahler manifolds G/H cannot be consistently coupled to supergravity, since the Kahler potentials are not invariant under the G transformation. We show that the supersymmetric nonlinear sigma models can be deformed such that the Kahler potential be exactly G-invariant if and only if one enlarges the manifolds by dropping all the U(1)'s in the unbroken subgroup H. Then, those nonlinear sigma models can be coupled to supergravity without losing the G invariance.

7.715459

7.410828

7.884654

7.441308

7.806794

7.058177

8.017245

7.46336

7.330924

8.488477

6.981686

7.07672

7.373116

7.342011

7.407171

7.539555

7.385832

7.243786

6.893586

7.131718

7.385345

2002.02742

Harold Steinacker

Harold C. Steinacker

Higher-spin gravity and torsion on quantized space-time in matrix models

37 pages, 1 figure. V2: improved discussion, published version. V3: minor corrections

null

10.1007/JHEP04(2020)111

UWThPh-2020-5

hep-th gr-qc

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

A geometric formalism is developed which allows to describe the non-linear regime of higher-spin gravity emerging on a cosmological quantum space-time in the IKKT matrix model. The vacuum solutions are Ricci-flat up to an effective vacuum energy-momentum tensor quadratic in the torsion, which arises from a Weitzenb\"ock-type higher spin connection. Torsion is expected to be significant only at cosmic scales and around very massive objects, and could behave like dark matter. A non-linear equation for the torsion tensor is found, which encodes the Yang-Mills equations of the matrix model. The metric and torsion transform covariantly under a higher-spin generalization of volume-preserving diffeomorphisms, which arises from the gauge invariance of the matrix model.

[ { "created": "Fri, 7 Feb 2020 12:41:42 GMT", "version": "v1" }, { "created": "Mon, 30 Mar 2020 15:39:49 GMT", "version": "v2" }, { "created": "Tue, 22 Sep 2020 16:43:41 GMT", "version": "v3" } ]

2020-09-23

[ [ "Steinacker", "Harold C.", "" ] ]

A geometric formalism is developed which allows to describe the non-linear regime of higher-spin gravity emerging on a cosmological quantum space-time in the IKKT matrix model. The vacuum solutions are Ricci-flat up to an effective vacuum energy-momentum tensor quadratic in the torsion, which arises from a Weitzenb\"ock-type higher spin connection. Torsion is expected to be significant only at cosmic scales and around very massive objects, and could behave like dark matter. A non-linear equation for the torsion tensor is found, which encodes the Yang-Mills equations of the matrix model. The metric and torsion transform covariantly under a higher-spin generalization of volume-preserving diffeomorphisms, which arises from the gauge invariance of the matrix model.

10.229653

10.345592

9.940469

9.592402

9.742722

9.972639

10.316876

9.237981

9.70444

10.476823

9.963374

10.255075

10.148473

9.964686

9.952114

9.717134

9.967352

9.789348

10.074375

9.611737

10.214344

hep-th/0610123

My. Brahim Sedra

A. El Boukili, E. H. Saidi, M. B. Sedra

Zeeman Effect In The Framework of Moyal Noncommutativity and String Theory

Latex file, 3 figures

null

hep-th

null

Stimulated by the importance of noncommutative geometry in recent developments in string theory, D-branes and integrable systems, one intends in this work to present a new insight towards adapting the famous idea of Zeeman effect to noncommutativity \`a la Moyal and develop an analysis leading to connect our results to the Bigatti-Suskind (BS) formulation.

[ { "created": "Tue, 10 Oct 2006 23:25:39 GMT", "version": "v1" }, { "created": "Wed, 30 May 2007 02:59:12 GMT", "version": "v2" } ]

2007-06-13

[ [ "Boukili", "A. El", "" ], [ "Saidi", "E. H.", "" ], [ "Sedra", "M. B.", "" ] ]

Stimulated by the importance of noncommutative geometry in recent developments in string theory, D-branes and integrable systems, one intends in this work to present a new insight towards adapting the famous idea of Zeeman effect to noncommutativity \`a la Moyal and develop an analysis leading to connect our results to the Bigatti-Suskind (BS) formulation.

24.680288

26.678801

22.667633

21.730581

23.710033

23.214207

23.358053

22.211872

21.564465

27.000156

22.617643

20.105429

22.80636

20.084627

21.443163

19.74835

19.893839

20.020058

20.730093

22.061169

20.318781

1502.00583

Wen-Yu Wen

Finiteness of Entanglement Entropy in Quantum Black Hole

8 pages, version submitted to EPL

EPL, 113 (2016) 60003

10.1209/0295-5075/113/60003

CYCU-HEP-15-02

hep-th

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

A logarithmic but divergent term usually appears in the computation of entanglement entropy circumferencing a black hole, while the leading quantum correction to the Bekenstein-Hawking entropy also takes the logarithmic form. A quench model of CFT within finite Euclidean time was proposed in the \cite{Kuwakino:2014nra} to regard this logarithmic term as entanglement between radiation and the black hole, and this proposal was justified by the alternative sign for $n$-partite quantum information. However, this preliminary form suffers from the notorious divergence at its low temperature limit. In this letter, we propose a modified form for black hole entanglement entropy such that the divergence sickness can be cured. We discuss the final stage of black hole due to this modification and its relation to R{\`e}nyi entropy, higher loop quantum correction and higher spin black holes.

[ { "created": "Mon, 2 Feb 2015 19:14:28 GMT", "version": "v1" }, { "created": "Fri, 27 Feb 2015 14:39:17 GMT", "version": "v2" }, { "created": "Sun, 25 Sep 2016 09:59:32 GMT", "version": "v3" } ]

2016-09-27

[ [ "Wen", "Wen-Yu", "" ] ]

A logarithmic but divergent term usually appears in the computation of entanglement entropy circumferencing a black hole, while the leading quantum correction to the Bekenstein-Hawking entropy also takes the logarithmic form. A quench model of CFT within finite Euclidean time was proposed in the \cite{Kuwakino:2014nra} to regard this logarithmic term as entanglement between radiation and the black hole, and this proposal was justified by the alternative sign for $n$-partite quantum information. However, this preliminary form suffers from the notorious divergence at its low temperature limit. In this letter, we propose a modified form for black hole entanglement entropy such that the divergence sickness can be cured. We discuss the final stage of black hole due to this modification and its relation to R{\`e}nyi entropy, higher loop quantum correction and higher spin black holes.

15.704813

16.671103

16.548782

15.142199

16.862316

16.71155

18.311134

16.370016

15.18063

18.593441

16.231831

15.027424

15.214012

14.600692

15.00185

15.061693

14.911172

15.182788

14.79143

15.337845

15.047436

1308.5775

Kourosh Nozari

Kourosh Nozari, M. Moafi and F. Rezaee Balef

Some Aspects of Supersymmetric Field Theories with Minimal Length and Maximal Momentum

11 pages

Advances in High Energy Physics 2013 (2013) 252178

null

hep-th

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

We consider a real scalar field and a Majorana fermion field to construct a supersymmetric quantum theory of free fermion fields based on the deformed Heisenberg algebra $[x,p]=i\hbar\big(1-\beta p+2\beta^{2}p^{2}\big)$, where $\beta $ is a deformation parameter. We present a deformed supersymmetric algebra in the presence of minimal length and maximal momentum.

[ { "created": "Tue, 27 Aug 2013 07:20:17 GMT", "version": "v1" } ]

2013-08-28

[ [ "Nozari", "Kourosh", "" ], [ "Moafi", "M.", "" ], [ "Balef", "F. Rezaee", "" ] ]

We consider a real scalar field and a Majorana fermion field to construct a supersymmetric quantum theory of free fermion fields based on the deformed Heisenberg algebra $[x,p]=i\hbar\big(1-\beta p+2\beta^{2}p^{2}\big)$, where $\beta $ is a deformation parameter. We present a deformed supersymmetric algebra in the presence of minimal length and maximal momentum.

6.343618

4.843168

5.175401

5.465129

6.877631

5.998952

6.144703

5.482469

5.217364

5.662112

5.94147

5.636284

5.521266

5.558431

5.570581

5.538979

5.313407

5.579659

5.557176

5.898522

5.636106

hep-th/0010076

Henning Samtleben

H. Nicolai, H. Samtleben

Maximal gauged supergravity in three dimensions

10 pages, LaTeX2e, minor changes in text, references added, version to appear in Phys. Rev. Lett

Phys.Rev.Lett. 86 (2001) 1686-1689

10.1103/PhysRevLett.86.1686

AEI-2000-065, LPTENS-00/36

hep-th

null

We construct maximally supersymmetric gauged N=16 supergravity in three dimensions, thereby obtaining an entirely new class of AdS supergravities. These models are not derivable from any known higher-dimensional theory, indicating the existence of a new type of supergravity beyond D=11. They are expected to be of special importance also for the conjectured AdS/CFT correspondence. One of their noteworthy features is a nonabelian generalization of the duality between scalar and vector fields in three dimensions. Among the possible gauge groups, SO(8)xSO(8) is distinguished as the maximal compact gauge group, but there are also more exotic possibilities such as F_4 x G_2.

[ { "created": "Wed, 11 Oct 2000 18:34:36 GMT", "version": "v1" }, { "created": "Sun, 7 Jan 2001 16:13:11 GMT", "version": "v2" } ]

2009-10-31

[ [ "Nicolai", "H.", "" ], [ "Samtleben", "H.", "" ] ]

We construct maximally supersymmetric gauged N=16 supergravity in three dimensions, thereby obtaining an entirely new class of AdS supergravities. These models are not derivable from any known higher-dimensional theory, indicating the existence of a new type of supergravity beyond D=11. They are expected to be of special importance also for the conjectured AdS/CFT correspondence. One of their noteworthy features is a nonabelian generalization of the duality between scalar and vector fields in three dimensions. Among the possible gauge groups, SO(8)xSO(8) is distinguished as the maximal compact gauge group, but there are also more exotic possibilities such as F_4 x G_2.

7.955874

6.906097

8.139638

6.679914

7.538239

7.134001

7.270592

6.436297

6.937544

9.462669

6.712822

7.220449

7.810724

7.319557

7.304372

7.581533

7.378878

7.132178

7.174471

7.920412

7.167142

2209.05207

Sabyasachi Maulik

More on entanglement properties of $Lif_4^{(2)}\times {S}^1\times S^5$ spacetime with string excitations

Comments and references added. Published version

Eur. Phys. J. Plus 138, 288 (2023)

10.1140/epjp/s13360-023-03893-7

null

hep-th

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

The $Lif_{4}^{(2)} \times S^1 \times S^5$ spacetime is an exact solution of $F1-D2-D8$ configuration in type IIA supergravity and can accommodate charged excitations of the fundamental string. By gauge/gravity duality, it is related to an excited state of a non-relativistic QFT with anisotropic Lifshitz scaling symmetry. We study mutual and tripartite information and entanglement wedge cross-section in bulk gravity for boundary subsystems that are disjoint strips of very narrow width. Our work helps understand the nature of entanglement in the QFT excited state, which is in general a mixed one.

[ { "created": "Mon, 12 Sep 2022 12:45:07 GMT", "version": "v1" }, { "created": "Wed, 29 Mar 2023 05:22:06 GMT", "version": "v2" } ]

2023-03-30

[ [ "Maulik", "Sabyasachi", "" ] ]

The $Lif_{4}^{(2)} \times S^1 \times S^5$ spacetime is an exact solution of $F1-D2-D8$ configuration in type IIA supergravity and can accommodate charged excitations of the fundamental string. By gauge/gravity duality, it is related to an excited state of a non-relativistic QFT with anisotropic Lifshitz scaling symmetry. We study mutual and tripartite information and entanglement wedge cross-section in bulk gravity for boundary subsystems that are disjoint strips of very narrow width. Our work helps understand the nature of entanglement in the QFT excited state, which is in general a mixed one.

12.772132

11.107356

13.491443

11.268403

11.811389

12.240233

11.488026

10.74562

9.988254

16.060589

10.531459

11.415916

11.704664

11.101531

11.006832

10.554609

11.299284

11.193778

11.44634

12.24114

11.255681

2302.07892

Raphael Bousso

Raphael Bousso and Geoff Penington

Holograms In Our World

26 pages, 5 figures. v2: minor fixes

null

hep-th gr-qc quant-ph

http://creativecommons.org/licenses/by-nc-nd/4.0/

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any gravitating region $a$, we define a max- and a min-entanglement wedge, $e_{\rm max}(a)$ and $e_{\rm min}(a)$, such that $e_{\rm min}(a)\supset e_{\rm max}(a)\supset a$. Unlike their analogues in AdS/CFT, these two spacetime regions can differ already at the classical level, when the generalized entropy is approximated by the area. All information outside $a$ in $e_{\rm max}(a)$ can flow inwards towards $a$, through quantum channels whose capacity is controlled by the areas of intermediate homology surfaces. In contrast, all information outside $e_{\rm min}(a)$ can flow outwards. The generalized entropies of appropriate entanglement wedges obey strong subadditivity, suggesting that they represent the von Neumann entropies of ordinary quantum systems. The entanglement wedges of suitably independent regions satisfy a no-cloning relation. This suggests that it may be possible for an observer in $a$ to summon information from spacelike related points in $e_{\rm max}(a)$, using resources that transcend the semiclassical description of $a$.

[ { "created": "Wed, 15 Feb 2023 19:00:01 GMT", "version": "v1" }, { "created": "Tue, 5 Sep 2023 18:39:38 GMT", "version": "v2" } ]

2023-09-07

[ [ "Bousso", "Raphael", "" ], [ "Penington", "Geoff", "" ] ]

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any gravitating region $a$, we define a max- and a min-entanglement wedge, $e_{\rm max}(a)$ and $e_{\rm min}(a)$, such that $e_{\rm min}(a)\supset e_{\rm max}(a)\supset a$. Unlike their analogues in AdS/CFT, these two spacetime regions can differ already at the classical level, when the generalized entropy is approximated by the area. All information outside $a$ in $e_{\rm max}(a)$ can flow inwards towards $a$, through quantum channels whose capacity is controlled by the areas of intermediate homology surfaces. In contrast, all information outside $e_{\rm min}(a)$ can flow outwards. The generalized entropies of appropriate entanglement wedges obey strong subadditivity, suggesting that they represent the von Neumann entropies of ordinary quantum systems. The entanglement wedges of suitably independent regions satisfy a no-cloning relation. This suggests that it may be possible for an observer in $a$ to summon information from spacelike related points in $e_{\rm max}(a)$, using resources that transcend the semiclassical description of $a$.

6.583435

6.639733

6.798877

6.460176

7.647817

6.860857

6.730295

6.419565

6.619077

7.262682

6.63425

6.392797

6.546207

6.326735

6.528715

6.497746

6.362773

6.46827

6.473012

6.703418

6.400118

0803.1776

Alexander Seel

H. Frahm, A. Seel and T. Wirth

Separation of Variables in the open XXX chain

19 pages, references added; to appear in Nucl. Phys. B

Nucl.Phys.B802:351-367,2008

10.1016/j.nuclphysb.2008.04.008

null

hep-th cond-mat.other math-ph math.MP

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

We apply the Sklyanin method of separation of variables to the reflection algebra underlying the open spin-1/2 XXX chain with non-diagonal boundary fields. The spectral problem can be formulated in terms of a TQ-equation which leads to the known Bethe equations for boundary parameters satisfying a constraint. For generic boundary parameters we study the asymptotic behaviour of the solutions of the TQ-equation.

[ { "created": "Wed, 12 Mar 2008 14:05:55 GMT", "version": "v1" }, { "created": "Mon, 14 Apr 2008 14:54:08 GMT", "version": "v2" } ]

2008-11-26

[ [ "Frahm", "H.", "" ], [ "Seel", "A.", "" ], [ "Wirth", "T.", "" ] ]

We apply the Sklyanin method of separation of variables to the reflection algebra underlying the open spin-1/2 XXX chain with non-diagonal boundary fields. The spectral problem can be formulated in terms of a TQ-equation which leads to the known Bethe equations for boundary parameters satisfying a constraint. For generic boundary parameters we study the asymptotic behaviour of the solutions of the TQ-equation.

7.308829

5.732421

9.565549

6.346814

5.895452

5.703601

6.375721

6.561193

6.014277

10.829084

6.505103

6.482764

8.124982

6.851199

6.47184

6.374609

6.396291

6.22709

6.599286

9.132793

6.398478

0901.1142

Konstantin Zarembo

J. A. Minahan, W. Schulgin, K. Zarembo

Two loop integrability for Chern-Simons theories with N=6 supersymmetry

23 pages, 4 figures; v2: minor misprints corrected, reference added

null

10.1088/1126-6708/2009/03/057

ITEP-TH-01/09, LPTENS-09/01, UUITP-01/09

hep-th

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

We consider two-loop anomalous dimensions for fermionic operators in the ABJM model and the ABJ model. We find the appropriate Hamiltonian and show that it is consistent with a previously predicted Bethe ansatz for the ABJM model. The difference between the ABJ and ABJM models is invisible at the two-loop level by cancelation of parity violating diagrams. We then construct a Hamiltonian for the full two-loop OSp(6|4) spin chain by first constructing the Hamiltonian for an SL(2|1) subgroup, and then lifting to OSp(6|4). We show that this Hamiltonian is consistent with the Hamiltonian found for the fermionic operators.

[ { "created": "Fri, 9 Jan 2009 20:49:38 GMT", "version": "v1" }, { "created": "Thu, 29 Jan 2009 20:15:18 GMT", "version": "v2" } ]

2009-11-13

[ [ "Minahan", "J. A.", "" ], [ "Schulgin", "W.", "" ], [ "Zarembo", "K.", "" ] ]

We consider two-loop anomalous dimensions for fermionic operators in the ABJM model and the ABJ model. We find the appropriate Hamiltonian and show that it is consistent with a previously predicted Bethe ansatz for the ABJM model. The difference between the ABJ and ABJM models is invisible at the two-loop level by cancelation of parity violating diagrams. We then construct a Hamiltonian for the full two-loop OSp(6|4) spin chain by first constructing the Hamiltonian for an SL(2|1) subgroup, and then lifting to OSp(6|4). We show that this Hamiltonian is consistent with the Hamiltonian found for the fermionic operators.

7.633983

6.93429

9.567139

6.805112

7.050101

6.964769

7.515832

6.875763

6.720068

8.413648

7.165151

6.845138

7.813789

7.288552

7.325579

6.682295

7.078744

7.256598

7.211303

7.73289

6.859731

hep-th/0703041

Vladimir Bazhanov

Vladimir V. Bazhanov, Vladimir V. Mangazeev and Sergey M. Sergeev

Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry

26 pages, 18 color figures, minor corrections

Nucl.Phys.B784:234-258,2007

10.1016/j.nuclphysb.2007.05.013

null

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

null

The Faddeev-Volkov solution of the star-triangle relation is connected with the modular double of the quantum group U_q(sl_2). It defines an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. The free energy of the model is exactly calculated in the thermodynamic limit. The model describes quantum fluctuations of circle patterns and the associated discrete conformal transformations connected with the Thurston's discrete analogue of the Riemann mappings theorem. In particular, in the quasi-classical limit the model precisely describe the geometry of integrable circle patterns with prescribed intersection angles.

[ { "created": "Mon, 5 Mar 2007 15:48:05 GMT", "version": "v1" }, { "created": "Fri, 30 Mar 2007 05:17:51 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bazhanov", "Vladimir V.", "" ], [ "Mangazeev", "Vladimir V.", "" ], [ "Sergeev", "Sergey M.", "" ] ]

The Faddeev-Volkov solution of the star-triangle relation is connected with the modular double of the quantum group U_q(sl_2). It defines an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. The free energy of the model is exactly calculated in the thermodynamic limit. The model describes quantum fluctuations of circle patterns and the associated discrete conformal transformations connected with the Thurston's discrete analogue of the Riemann mappings theorem. In particular, in the quasi-classical limit the model precisely describe the geometry of integrable circle patterns with prescribed intersection angles.

9.216721

10.102147

11.988562

8.604422

11.771284

10.846008

11.214405

10.443188

9.852817

11.718807

9.569018

9.11844

9.914875

9.095809

9.039237

8.938277

9.124847

9.133473

8.625439

8.900264

8.989723

hep-th/0412314

Nicolas Boulanger

A Weyl-covariant tensor calculus

LaTeX, 10 pages. Minor corrections and a reference added

J.Math.Phys. 46 (2005) 053508

10.1063/1.1896381

null

hep-th

null

On a (pseudo-) Riemannian manifold of dimension n > 2, the space of tensors which transform covariantly under Weyl rescalings of the metric is built. This construction is related to a Weyl-covariant operator D whose commutator [D,D] gives the conformally invariant Weyl tensor plus the Cotton tensor. So-called generalized connections and their transformation laws under diffeomorphisms and Weyl rescalings are also derived. These results are obtained by application of BRST techniques.

[ { "created": "Tue, 28 Dec 2004 22:04:50 GMT", "version": "v1" }, { "created": "Fri, 14 Jan 2005 18:30:03 GMT", "version": "v2" } ]

2009-11-10

[ [ "Boulanger", "Nicolas", "" ] ]

On a (pseudo-) Riemannian manifold of dimension n > 2, the space of tensors which transform covariantly under Weyl rescalings of the metric is built. This construction is related to a Weyl-covariant operator D whose commutator [D,D] gives the conformally invariant Weyl tensor plus the Cotton tensor. So-called generalized connections and their transformation laws under diffeomorphisms and Weyl rescalings are also derived. These results are obtained by application of BRST techniques.

8.024033

7.71112

7.476997

7.228704

8.048281

7.891213

7.388014

7.148449

7.185155

7.505576

6.870929

6.727026

7.182745

7.201112

6.735954

6.615951

6.645695

6.863322

6.83358

7.400959

6.771638

1012.0496

Veselin Filev

Johanna Erdmenger, Veselin Filev

Mesons from global Anti-de Sitter space

43 pages, 8 figures, references edited, few typos corrected, updated to match the published version

JHEP 1101:119,2011

10.1007/JHEP01(2011)119

MPP-2010-159, DIAS-STP-10-13

hep-th

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

In the context of gauge/gravity duality, we study both probe D7-- and probe D5--branes in global Anti-de Sitter space. The dual field theory is N=4 theory on R x S^3 with added flavour. The branes undergo a geometrical phase transition in this geometry as function of the bare quark mass m_q in units of 1/R with R the S^3 radius. The meson spectra are obtained from fluctuations of the brane probes. First, we study them numerically for finite quark mass through the phase transition. Moreover, at zero quark mass we calculate the meson spectra analytically both in supergravity and in free field theory on R x S^3 and find that the results match: For the chiral primaries, the lowest level is given by the zero point energy or by the scaling dimension of the operator corresponding to the fluctuations, respectively. The higher levels are equidistant. Similar results apply to the descendents. Our results confirm the physical interpretation that the mesons cannot pair-produce any further when their zero-point energy exceeds their binding energy.

[ { "created": "Thu, 2 Dec 2010 17:00:19 GMT", "version": "v1" }, { "created": "Tue, 25 Jan 2011 12:52:54 GMT", "version": "v2" } ]

2015-03-17

[ [ "Erdmenger", "Johanna", "" ], [ "Filev", "Veselin", "" ] ]

In the context of gauge/gravity duality, we study both probe D7-- and probe D5--branes in global Anti-de Sitter space. The dual field theory is N=4 theory on R x S^3 with added flavour. The branes undergo a geometrical phase transition in this geometry as function of the bare quark mass m_q in units of 1/R with R the S^3 radius. The meson spectra are obtained from fluctuations of the brane probes. First, we study them numerically for finite quark mass through the phase transition. Moreover, at zero quark mass we calculate the meson spectra analytically both in supergravity and in free field theory on R x S^3 and find that the results match: For the chiral primaries, the lowest level is given by the zero point energy or by the scaling dimension of the operator corresponding to the fluctuations, respectively. The higher levels are equidistant. Similar results apply to the descendents. Our results confirm the physical interpretation that the mesons cannot pair-produce any further when their zero-point energy exceeds their binding energy.

9.761177

9.873251

11.886917

9.575703

9.047359

9.707617

9.898455

9.770235

9.488091

11.862124

9.169483

9.523469

9.909378

9.606715

10.061452

9.660115

9.594948

9.493139

9.490258

9.567009

9.398131

2312.02281

Sylvain Fichet

Philippe Brax, Sylvain Fichet

Casimir Forces in CFT with Defects and Boundaries

27 pages, 3 figures. Invited paper to the Special Issue of the Journal Physics: 75 Years of the Casimir Effect. v2: references added, matches journal version

Physics 2024, 6(2), 544-567

10.3390/physics6020036

null

hep-th

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

We investigate the quantum forces occurring between the defects and/or boundaries of a conformal field theory (CFT). We propose to model imperfect defects and boundaries as localized relevant double-trace operators that deform the CFT. Our focus is on pointlike and codimension-one planar defects. In the case of two parallel membranes, we point out that the CFT 2-point function tends to get confined and develops a tower of resonances with constant decay rate when the operator dimension approaches the free field dimension. Using a functional formalism, we compute the quantum forces induced by the CFT between a variety of configurations of pointlike defects, infinite plates and membranes. Consistency arguments imply that these quantum forces are attractive at any distance. Forces of Casimir-Polder type appear in the UV, while forces of Casimir type appear in the IR, in which case the CFT gets repelled from the defects. Most of the forces behave as a non-integer power of the separation, controlled by the dimension of the double-trace deformation. In the Casimir regime of the membrane-membrane configuration, the quantum pressure behaves universally as $1/\ell^d$, however information about the double-trace nature of the defects still remains encoded in the strength of the pressure.

[ { "created": "Mon, 4 Dec 2023 19:00:57 GMT", "version": "v1" }, { "created": "Tue, 30 Apr 2024 22:06:35 GMT", "version": "v2" } ]

2024-05-14

[ [ "Brax", "Philippe", "" ], [ "Fichet", "Sylvain", "" ] ]

We investigate the quantum forces occurring between the defects and/or boundaries of a conformal field theory (CFT). We propose to model imperfect defects and boundaries as localized relevant double-trace operators that deform the CFT. Our focus is on pointlike and codimension-one planar defects. In the case of two parallel membranes, we point out that the CFT 2-point function tends to get confined and develops a tower of resonances with constant decay rate when the operator dimension approaches the free field dimension. Using a functional formalism, we compute the quantum forces induced by the CFT between a variety of configurations of pointlike defects, infinite plates and membranes. Consistency arguments imply that these quantum forces are attractive at any distance. Forces of Casimir-Polder type appear in the UV, while forces of Casimir type appear in the IR, in which case the CFT gets repelled from the defects. Most of the forces behave as a non-integer power of the separation, controlled by the dimension of the double-trace deformation. In the Casimir regime of the membrane-membrane configuration, the quantum pressure behaves universally as $1/\ell^d$, however information about the double-trace nature of the defects still remains encoded in the strength of the pressure.

12.471067

12.737634

12.648254

11.809581

13.089083

12.638112

13.097799

11.807828

12.065433

13.520071

11.89534

11.765058

11.952091

11.355049

11.740545

12.11238

11.60872

11.684739

11.723779

12.2654

11.58298

hep-th/0608181

Kazuyuki Furuuchi

Kazuyuki Furuuchi (Harish-Chandra Res. Inst.)

Lectures On AdS-CFT At Weak 't Hooft Coupling At Finite Temperature

Based on lectures delivered at IPM String School and Workshop April 2006, Strings 2006 Shanghai Workshop and Hangzhou Workshop June, ICTS-USTC March 2006 and Chulalongkorn University April 2006. 50 pages, 18 figures; v2 minor corrections

null

hep-th

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

This is an introductory lecture note aiming at providing an overview of the AdS-CFT correspondence at weak 't Hooft coupling at finite temperature. The first aim of this note is to describe the equivalence of three interesting thermodynamical phenomena in theoretical physics, namely, Hawking-Page transition to black hole geometry, deconfinement transition in gauge theories, and vortex condensation on string worldsheets. The Hawking-Page transition and the deconfinement transition in weakly coupled gauge theories are briefly reviewed. Emphasis is on the study of 't Hooft-Feynman diagrams in the large $N$ gauge theories, which are supposed to describe closed string worldsheets and probe the above equivalence. Nature of the 't Hooft-Feynman diagrams at finite temperature is analyzed, both in the Euclidean signature (the imaginary time formalism) and in the Lorentzian signature (the real time formalism). The second aim of this note is to give an introduction to the real time formalism applied to AdS-CFT.

[ { "created": "Fri, 25 Aug 2006 15:26:31 GMT", "version": "v1" }, { "created": "Mon, 30 Jun 2008 11:13:53 GMT", "version": "v2" } ]

2008-06-30

[ [ "Furuuchi", "Kazuyuki", "", "Harish-Chandra Res. Inst." ] ]

This is an introductory lecture note aiming at providing an overview of the AdS-CFT correspondence at weak 't Hooft coupling at finite temperature. The first aim of this note is to describe the equivalence of three interesting thermodynamical phenomena in theoretical physics, namely, Hawking-Page transition to black hole geometry, deconfinement transition in gauge theories, and vortex condensation on string worldsheets. The Hawking-Page transition and the deconfinement transition in weakly coupled gauge theories are briefly reviewed. Emphasis is on the study of 't Hooft-Feynman diagrams in the large $N$ gauge theories, which are supposed to describe closed string worldsheets and probe the above equivalence. Nature of the 't Hooft-Feynman diagrams at finite temperature is analyzed, both in the Euclidean signature (the imaginary time formalism) and in the Lorentzian signature (the real time formalism). The second aim of this note is to give an introduction to the real time formalism applied to AdS-CFT.

6.401594

6.456016

6.875568

6.00547

6.08062

6.451693

6.177184

6.101099

6.374822

6.640413

5.843695

6.062967

6.221816

6.015338

6.254219

6.158957

6.092191

6.237564

5.893924

6.247278

6.042244

hep-th/9905140

Lars Kjaergaard

Lars Kjaergaard and Paul Mansfield

Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation

9 pages, 3 Postscript figures, uses AMS-LaTeX

Phys.Lett. B462 (1999) 103-108

10.1016/S0370-2693(99)00895-3

DTP/99/33

hep-th cond-mat.stat-mech

null

We illustrate a method for improving Renormalisation Group improved perturbation theory by calculating the infrared central charge of a perturbed conformal field theory. The additional input is a dispersion relation that exploits analyticity of the energy-momentum tensor correlator.

[ { "created": "Wed, 19 May 1999 10:02:31 GMT", "version": "v1" }, { "created": "Mon, 1 Nov 1999 10:39:15 GMT", "version": "v2" } ]

2009-10-31

[ [ "Kjaergaard", "Lars", "" ], [ "Mansfield", "Paul", "" ] ]

We illustrate a method for improving Renormalisation Group improved perturbation theory by calculating the infrared central charge of a perturbed conformal field theory. The additional input is a dispersion relation that exploits analyticity of the energy-momentum tensor correlator.

16.763786

13.744462

15.667008

13.076516

13.535094

15.064994

13.471549

13.57747

13.481841

15.42021

14.319951

14.477725

15.223145

14.429821

14.397024

14.155727

13.839173

14.420478

13.627702

14.662118

14.527623

0809.0507

Kyriakos Papadodimas

Jan de Boer, Jan Manschot, Kyriakos Papadodimas and Erik Verlinde

The chiral ring of AdS3/CFT2 and the attractor mechanism

72 pages (60 + appendices)

JHEP 0903:030,2009

10.1088/1126-6708/2009/03/030

ITFA 2008-34

hep-th

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

We study the moduli dependence of the chiral ring in N = (4,4) superconformal field theories, with special emphasis on those CFTs that are dual to type IIB string theory on AdS3xS3xX4. The chiral primary operators are sections of vector bundles, whose connection describes the operator mixing under motion on the moduli space. This connection can be exactly computed using the constraints from N = (4,4) supersymmetry. Its curvature can be determined using the tt* equations, for which we give a derivation in the physical theory which does not rely on the topological twisting. We show that for N = (4,4) theories the chiral ring is covariantly constant over the moduli space, a fact which can be seen as a non-renormalization theorem for the three-point functions of chiral primaries in AdS3/CFT2. From the spacetime point of view our analysis has the following applications. First, in the case of a D1/D5 black string, we can see the matching of the attractor flow in supergravity to RG-flow in the boundary field theory perturbed by irrelevant operators, to first order away from the fixed point. Second, under spectral flow the chiral primaries become the Ramond ground states of the CFT. These ground states represent the microstates of a small black hole in five dimensions consisting of a D1/D5 bound state. The connection that we compute can be considered as an example of Berry's phase for the internal microstates of a supersymmetric black hole.

[ { "created": "Wed, 3 Sep 2008 17:56:50 GMT", "version": "v1" } ]

2009-03-27

[ [ "de Boer", "Jan", "" ], [ "Manschot", "Jan", "" ], [ "Papadodimas", "Kyriakos", "" ], [ "Verlinde", "Erik", "" ] ]

We study the moduli dependence of the chiral ring in N = (4,4) superconformal field theories, with special emphasis on those CFTs that are dual to type IIB string theory on AdS3xS3xX4. The chiral primary operators are sections of vector bundles, whose connection describes the operator mixing under motion on the moduli space. This connection can be exactly computed using the constraints from N = (4,4) supersymmetry. Its curvature can be determined using the tt* equations, for which we give a derivation in the physical theory which does not rely on the topological twisting. We show that for N = (4,4) theories the chiral ring is covariantly constant over the moduli space, a fact which can be seen as a non-renormalization theorem for the three-point functions of chiral primaries in AdS3/CFT2. From the spacetime point of view our analysis has the following applications. First, in the case of a D1/D5 black string, we can see the matching of the attractor flow in supergravity to RG-flow in the boundary field theory perturbed by irrelevant operators, to first order away from the fixed point. Second, under spectral flow the chiral primaries become the Ramond ground states of the CFT. These ground states represent the microstates of a small black hole in five dimensions consisting of a D1/D5 bound state. The connection that we compute can be considered as an example of Berry's phase for the internal microstates of a supersymmetric black hole.

6.787826

7.188793

8.852786

6.820684

7.157912

7.315651

7.233638

7.400012

7.416328

8.717642

7.143523

6.848701

7.322196

6.898009

6.870074

6.911142

6.805049

6.876209

6.783017

7.411149

6.678545

hep-th/9506044

T. Schucker

Bruno IOCHUM, Daniel KASTLER, Thomas SCH\"UCKER (Marseille)

Fuzzy Mass Relations for the Higgs

26 pages, LaTeX

J.Math.Phys. 36 (1995) 6232-6254

10.1063/1.531242

CPT-95/P.33197

hep-th

null

The non-commutative approach of the standard model produces a relation between the top and the Higgs masses. We show that, for a given top mass, the Higgs mass is constrained to lie in an interval. The length of this interval is of the order of $m_\tau^2/m_t$.

[ { "created": "Wed, 7 Jun 1995 17:58:09 GMT", "version": "v1" } ]

2009-10-28

[ [ "IOCHUM", "Bruno", "", "Marseille" ], [ "KASTLER", "Daniel", "", "Marseille" ], [ "SCHÜCKER", "Thomas", "", "Marseille" ] ]

The non-commutative approach of the standard model produces a relation between the top and the Higgs masses. We show that, for a given top mass, the Higgs mass is constrained to lie in an interval. The length of this interval is of the order of $m_\tau^2/m_t$.

7.009389

5.61535

6.078732

5.261974

5.569516

5.572332

5.71502

5.731167

5.469491

6.056987

5.63589

5.605845

6.105529

5.881038

6.154822

5.798995

5.897413

5.904855

6.201124

6.085376

5.960657

2304.04457

Chanyong Park

Holographic RG flow triggered by gluon condensate

12 pages, no figure, "Contribution to the Proceedings of the 6th International Conference on Holography, String Theory and Spacetime, Da Nang, Vietnam, February 2023"

null

hep-th

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

By applying the holographic method, we study a non-perturbative renormalization group (RG) flow triggered by a gluon condensate. After introducing a bulk scalar field in an AdS space related to the gluon condensate, we investigate the trace anomaly proportional to the gluon condensate. The holographic calculation reproduces the one-loop trace anomaly known in the lattice QCD. We also show that higher loop corrections give rise to additional contributions and modify the one-loop trace anomaly.

[ { "created": "Mon, 10 Apr 2023 08:53:37 GMT", "version": "v1" } ]

2023-04-11

[ [ "Park", "Chanyong", "" ] ]

By applying the holographic method, we study a non-perturbative renormalization group (RG) flow triggered by a gluon condensate. After introducing a bulk scalar field in an AdS space related to the gluon condensate, we investigate the trace anomaly proportional to the gluon condensate. The holographic calculation reproduces the one-loop trace anomaly known in the lattice QCD. We also show that higher loop corrections give rise to additional contributions and modify the one-loop trace anomaly.

7.440872

6.330457

6.753437

6.486915

6.676851

6.710246

6.433738

6.757577

6.468049

6.846084

6.386183

6.565476

6.628715

6.342559

6.662254

6.48079

6.201957

6.528949

6.420142

6.894696

6.318741

hep-th/9903061

Kei Ito

Seiberg's Duality from Monodromy of Conifold Singularity

11 pages, LaTex

Phys.Lett. B457 (1999) 285-290

10.1016/S0370-2693(99)00549-3

null

hep-th

null

Duality between N=1 supersymmetric gauge theories(Seiberg's duality) is geometrized, in the framework of AdS/CFT correspodences. It is shown that Seiberg's duality corresponds to monodromy of wrapped D5 branes on the homology cycles of a generalized conifold where D3 branes are located. The celebrated \tilde{N}_c=N_f-N_c, \tilde{N}_f=N_f rule is reproduced and a braid group structure in a sequence of dualities, is found.

[ { "created": "Mon, 8 Mar 1999 07:01:12 GMT", "version": "v1" } ]

2009-10-31

[ [ "Ito", "Kei", "" ] ]

Duality between N=1 supersymmetric gauge theories(Seiberg's duality) is geometrized, in the framework of AdS/CFT correspodences. It is shown that Seiberg's duality corresponds to monodromy of wrapped D5 branes on the homology cycles of a generalized conifold where D3 branes are located. The celebrated \tilde{N}_c=N_f-N_c, \tilde{N}_f=N_f rule is reproduced and a braid group structure in a sequence of dualities, is found.

9.580487

10.01685

9.907932

8.834737

9.370833

10.297765

10.244393

9.464655

9.005874

11.408075

8.01758

8.494226

9.267436

8.585085

9.020494

8.856914

8.749452

8.591019

8.673167

8.774907

8.596844

0810.0188

Fiorenzo Bastianelli

Fiorenzo Bastianelli, Olindo Corradini, Emanuele Latini

Spinning particles and higher spin fields on (A)dS backgrounds

35 pages, added references

JHEP 0811:054,2008

10.1088/1126-6708/2008/11/054

null

hep-th

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

Spinning particle models can be used to describe higher spin fields in first quantization. In this paper we discuss how spinning particles with gauged O(N) supersymmetries on the worldline can be consistently coupled to conformally flat spacetimes, both at the classical and at the quantum level. In particular, we consider canonical quantization on flat and on (A)dS backgrounds, and discuss in detail how the constraints due to the worldline gauge symmetries produce geometrical equations for higher spin fields, i.e. equations written in terms of generalized curvatures. On flat space the algebra of constraints is linear, and one can integrate part of the constraints by introducing gauge potentials. This way the equivalence of the geometrical formulation with the standard formulation in terms of gauge potentials is made manifest. On (A)dS backgrounds the algebra of constraints becomes quadratic, nevertheless one can use it to extend much of the previous analysis to this case. In particular, we derive general formulas for expressing the curvatures in terms of gauge potentials and discuss explicitly the cases of spin 2, 3 and 4.

[ { "created": "Wed, 1 Oct 2008 14:58:14 GMT", "version": "v1" }, { "created": "Tue, 14 Oct 2008 09:52:04 GMT", "version": "v2" } ]

2011-02-07

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Corradini", "Olindo", "" ], [ "Latini", "Emanuele", "" ] ]

Spinning particle models can be used to describe higher spin fields in first quantization. In this paper we discuss how spinning particles with gauged O(N) supersymmetries on the worldline can be consistently coupled to conformally flat spacetimes, both at the classical and at the quantum level. In particular, we consider canonical quantization on flat and on (A)dS backgrounds, and discuss in detail how the constraints due to the worldline gauge symmetries produce geometrical equations for higher spin fields, i.e. equations written in terms of generalized curvatures. On flat space the algebra of constraints is linear, and one can integrate part of the constraints by introducing gauge potentials. This way the equivalence of the geometrical formulation with the standard formulation in terms of gauge potentials is made manifest. On (A)dS backgrounds the algebra of constraints becomes quadratic, nevertheless one can use it to extend much of the previous analysis to this case. In particular, we derive general formulas for expressing the curvatures in terms of gauge potentials and discuss explicitly the cases of spin 2, 3 and 4.

7.502066

6.756796

7.850106

6.757143

7.423526

7.501497

7.339157

6.953211

6.831939

8.167281

6.953671

7.071727

7.303096

6.775396

7.013008

6.95639

6.924714

7.021644

6.841752

7.257387

6.961085

hep-th/0512078

Tonnis ter Veldhuis

T.E. Clark, S.T. Love, Muneto Nitta, and T. ter Veldhuis

Gauging Nonlinear Supersymmetry

20 pages, no figures

Phys.Rev.D73:125006,2006

10.1103/PhysRevD.73.125006

null

hep-th gr-qc hep-ph

null

Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local supersymmetries. The resulting action is an invariant form of the Einstein-Hilbert action, which in addition to the gravitational vierbein, also includes a massive gravitino field. Invariant interactions with matter and gauge fields are also constructed. The effective Lagrangian describing processes involving the emission or absorption of a single light gravitino is analyzed.

[ { "created": "Tue, 6 Dec 2005 20:55:19 GMT", "version": "v1" } ]

2008-11-26

[ [ "Clark", "T. E.", "" ], [ "Love", "S. T.", "" ], [ "Nitta", "Muneto", "" ], [ "ter Veldhuis", "T.", "" ] ]

Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local supersymmetries. The resulting action is an invariant form of the Einstein-Hilbert action, which in addition to the gravitational vierbein, also includes a massive gravitino field. Invariant interactions with matter and gauge fields are also constructed. The effective Lagrangian describing processes involving the emission or absorption of a single light gravitino is analyzed.

11.465697

7.226188

10.387199

8.012306

7.676229

7.951643

7.431709

8.018046

8.048496

11.828856

8.187885

8.771895

10.090255

9.263912

9.309527

9.478209

9.051624

9.210262

9.486621

9.927348

9.258816

2107.00519

Luca Martinoia

Andrea Amoretti, Daniel Arean, Daniel K. Brattan, Luca Martinoia

Hydrodynamic magneto-transport in holographic charge density wave states

33 pages, 3 figures

JHEP 11 (2021) 011

10.1007/JHEP11(2021)011

null

hep-th cond-mat.str-el

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

We employ hydrodynamics and gauge/gravity to study magneto-transport in phases of matter where translations are broken (pseudo-)spontaneously. First we provide a hydrodynamic description of systems where translations are broken homogeneously at nonzero lattice pressure and magnetic field. This allows us to determine analytic expressions for all the relevant transport coefficients. Next we construct holographic models of those phases and determine all the DC conductivities in terms of the dual black hole geometry. Combining the hydrodynamic and holographic descriptions we obtain analytic expression for the AC thermo-electric correlators. These are fixed in terms of the black hole geometry and a pinning frequency we determine numerically. We find an excellent agreement between our hydrodynamic and holographic descriptions and show that the holographic models are good avatars for the study of magneto-phonons.

[ { "created": "Thu, 1 Jul 2021 15:06:32 GMT", "version": "v1" }, { "created": "Fri, 23 Jul 2021 13:15:07 GMT", "version": "v2" } ]

2023-06-21

[ [ "Amoretti", "Andrea", "" ], [ "Arean", "Daniel", "" ], [ "Brattan", "Daniel K.", "" ], [ "Martinoia", "Luca", "" ] ]

We employ hydrodynamics and gauge/gravity to study magneto-transport in phases of matter where translations are broken (pseudo-)spontaneously. First we provide a hydrodynamic description of systems where translations are broken homogeneously at nonzero lattice pressure and magnetic field. This allows us to determine analytic expressions for all the relevant transport coefficients. Next we construct holographic models of those phases and determine all the DC conductivities in terms of the dual black hole geometry. Combining the hydrodynamic and holographic descriptions we obtain analytic expression for the AC thermo-electric correlators. These are fixed in terms of the black hole geometry and a pinning frequency we determine numerically. We find an excellent agreement between our hydrodynamic and holographic descriptions and show that the holographic models are good avatars for the study of magneto-phonons.

12.105842

11.320071

13.849279

11.859351

11.70058

11.790678

11.924174

11.227747

11.492425

13.523063

10.891886

11.628068

12.684908

11.586837

12.12604

11.713204

11.512329

11.673571

11.828131

12.340982

11.382909

0809.2701

Terry Pilling

Quasi-classical Hawking Temperatures and Black Hole Thermodynamics

9 pages, Talk given at Quarks 2008, 15th international seminar on high energy physics, Sergiev Posad, Russia, May 2008

null

hep-th

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

The semi-classical derivation of Hawking radiation for axially symmetric, stationary spacetimes with a Killing horizon is examined following the recent quasi-classical tunneling analysis and a simple formula is found for the inverse Hawking temperature $\beta = 1/T_H$. The formula is invariant under canonical transformations and is shown to be equivalent to the integral of a closed differential 1-form around the horizon enclosing a pole. The Hawking temperature is then given in terms of the winding number in the first homotopy group of the torus formed from the compactified imaginary parts of the analytically continued radial and time variables.

[ { "created": "Tue, 16 Sep 2008 13:30:54 GMT", "version": "v1" } ]

2008-09-17

[ [ "Pilling", "Terry", "" ] ]

The semi-classical derivation of Hawking radiation for axially symmetric, stationary spacetimes with a Killing horizon is examined following the recent quasi-classical tunneling analysis and a simple formula is found for the inverse Hawking temperature $\beta = 1/T_H$. The formula is invariant under canonical transformations and is shown to be equivalent to the integral of a closed differential 1-form around the horizon enclosing a pole. The Hawking temperature is then given in terms of the winding number in the first homotopy group of the torus formed from the compactified imaginary parts of the analytically continued radial and time variables.

11.463805

12.209033

11.982218

10.009449

12.534139

12.251956

12.052331

10.824612

10.428978

11.020744

10.540251

10.69475

10.923476

10.369033

10.174512

10.689568

10.031464

10.083171

10.804504

10.805249

10.375834

1907.04737

Nat Levine

Ben Hoare, Nat Levine, Arkady A. Tseytlin

Integrable 2d sigma models: quantum corrections to geometry from RG flow

17 pages; v2: minor corrections

null

10.1016/j.nuclphysb.2019.114798

Imperial-TP-AT-2019-05

hep-th

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

Classically integrable $\sigma$-models are known to be solutions of the 1-loop RG equations, or "Ricci flow", with only a few couplings running. In some of the simplest examples of integrable deformations we find that in order to preserve this property at 2 (and higher) loops the classical $\sigma$-model should be corrected by quantum counterterms. The pattern is similar to that of effective $\sigma$-models associated to gauged WZW theories. We consider in detail the examples of the $\eta$-deformation of $S^2$ ("sausage model") and $H^2$, as well as the closely related $\lambda$-deformation of the $SO(1,2)/SO(2)$ coset. We also point out that similar counterterms are required in order for non-abelian duality to commute with RG flow beyond the 1-loop order.

[ { "created": "Wed, 10 Jul 2019 14:07:39 GMT", "version": "v1" }, { "created": "Thu, 31 Oct 2019 16:03:54 GMT", "version": "v2" } ]

2020-01-08

[ [ "Hoare", "Ben", "" ], [ "Levine", "Nat", "" ], [ "Tseytlin", "Arkady A.", "" ] ]

Classically integrable $\sigma$-models are known to be solutions of the 1-loop RG equations, or "Ricci flow", with only a few couplings running. In some of the simplest examples of integrable deformations we find that in order to preserve this property at 2 (and higher) loops the classical $\sigma$-model should be corrected by quantum counterterms. The pattern is similar to that of effective $\sigma$-models associated to gauged WZW theories. We consider in detail the examples of the $\eta$-deformation of $S^2$ ("sausage model") and $H^2$, as well as the closely related $\lambda$-deformation of the $SO(1,2)/SO(2)$ coset. We also point out that similar counterterms are required in order for non-abelian duality to commute with RG flow beyond the 1-loop order.

8.060637

6.944653

7.333967

6.642994

6.690954

6.77387

6.696821

7.107141

6.728959

8.183521

6.648144

6.824758

6.93105

6.570662

6.69168

6.722803

6.66246

6.750755

6.717661

7.627055

6.657587

1412.8492

Wilami Teixeira da Cruz

W. T. Cruz, R. V. Maluf, L. J. S. Sousa and C. A. S. Almeida

Gravity localization in sine-Gordon braneworlds

Revtex style, 16 pages, 6 figures, improved text, published version

Annals of Phys. 364 (2016) 25-34

10.1016/j.aop.2015.10.016

null

hep-th

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

In this work we study two types of five-dimensional braneworld models given by sine-Gordon potentials. In both scenarios, the thick brane is generated by a real scalar field coupled to gravity. We focus our investigation on the localization of graviton field and the behaviour of the massive spectrum. In particular, we analyse the localization of massive modes by means of a relative probability method in a Quantum Mechanics context. Initially, considering a scalar field sine-Gordon potential, we find a localized state to the graviton at zero mode. However, when we consider a double sine-Gordon potential, the brane structure is changed allowing the existence of massive resonant states. The new results show how the existence of an internal structure can aid in the emergence of massive resonant modes on the brane.

[ { "created": "Mon, 29 Dec 2014 21:31:30 GMT", "version": "v1" }, { "created": "Wed, 25 Nov 2015 17:28:18 GMT", "version": "v2" } ]

2015-11-26

[ [ "Cruz", "W. T.", "" ], [ "Maluf", "R. V.", "" ], [ "Sousa", "L. J. S.", "" ], [ "Almeida", "C. A. S.", "" ] ]

In this work we study two types of five-dimensional braneworld models given by sine-Gordon potentials. In both scenarios, the thick brane is generated by a real scalar field coupled to gravity. We focus our investigation on the localization of graviton field and the behaviour of the massive spectrum. In particular, we analyse the localization of massive modes by means of a relative probability method in a Quantum Mechanics context. Initially, considering a scalar field sine-Gordon potential, we find a localized state to the graviton at zero mode. However, when we consider a double sine-Gordon potential, the brane structure is changed allowing the existence of massive resonant states. The new results show how the existence of an internal structure can aid in the emergence of massive resonant modes on the brane.

10.069436

8.140924

9.528354

8.250709

8.767613

8.791267

8.296561

8.445605

8.176224

10.578549

8.224113

8.749706

9.431142

8.866493

8.757535

8.93614

8.744743

9.158272

9.140392

9.703475

8.996593

0907.1804

Alikram Aliev

Haji Ahmedov and Alikram N. Aliev

Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity

Dedicated to Nihat Berker on the occasion of his 60th birthday; 13 pages, REVTeX

Phys.Lett.B679:396-400,2009

10.1016/j.physletb.2009.07.070

null

hep-th gr-qc

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

We study a five-dimensional spacetime admitting, in the presence of torsion, a non-degenerate conformal Killing-Yano 2-form which is closed with respect to both the usual exterior differentiation and the exterior differentiation with torsion. Furthermore, assuming that the torsion is closed and co-closed with respect to the exterior differentiation with torsion, we prove that such a spacetime is the only spacetime given by the Chong-Cvetic-Lu-Pope solution for stationary, rotating charged black holes with two independent angular momenta in five-dimensional minimal gauged supergravity.

[ { "created": "Fri, 10 Jul 2009 13:27:52 GMT", "version": "v1" }, { "created": "Sat, 11 Jul 2009 19:22:07 GMT", "version": "v2" }, { "created": "Thu, 13 Aug 2009 06:12:42 GMT", "version": "v3" } ]

2009-09-28

[ [ "Ahmedov", "Haji", "" ], [ "Aliev", "Alikram N.", "" ] ]

We study a five-dimensional spacetime admitting, in the presence of torsion, a non-degenerate conformal Killing-Yano 2-form which is closed with respect to both the usual exterior differentiation and the exterior differentiation with torsion. Furthermore, assuming that the torsion is closed and co-closed with respect to the exterior differentiation with torsion, we prove that such a spacetime is the only spacetime given by the Chong-Cvetic-Lu-Pope solution for stationary, rotating charged black holes with two independent angular momenta in five-dimensional minimal gauged supergravity.

6.664566

5.719281

5.621031

5.543571

5.333419

5.334334

5.517554

5.146605

5.370252

6.846575

5.45954

5.797594

6.487015

5.839725

6.079632

6.530615

5.961469

5.960835

5.915518

6.699122

5.703395

1607.02030

Daniel Litim

Daniel F. Litim and Edouard Marchais

Critical $O(N)$ models in the complex field plane

36 pages, 9 figures, Sec IV H and Refs added

Phys. Rev. D 95, 025026 (2017)

10.1103/PhysRevD.95.025026

null

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

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

Local and global scaling solutions for $O(N)$ symmetric scalar field theories are studied in the complexified field plane with the help of the renormalisation group. Using expansions of the effective action about small, large, and purely imaginary fields, we obtain and solve exact recursion relations for all couplings and determine the $3d$ Wilson-Fisher fixed point analytically. For all $O(N)$ universality classes, we further establish that Wilson-Fisher fixed point solutions display singularities in the complex field plane, which dictate the radius of convergence for real-field expansions of the effective action. At infinite $N$, we find closed expressions for the convergence-limiting singularities and prove that local expansions of the effective action are powerful enough to uniquely determine the global Wilson-Fisher fixed point for any value of the fields. Implications of our findings for interacting fixed points in more complicated theories are indicated.

[ { "created": "Thu, 7 Jul 2016 14:18:15 GMT", "version": "v1" }, { "created": "Thu, 19 Jan 2017 10:15:27 GMT", "version": "v2" } ]

2017-02-08

[ [ "Litim", "Daniel F.", "" ], [ "Marchais", "Edouard", "" ] ]

Local and global scaling solutions for $O(N)$ symmetric scalar field theories are studied in the complexified field plane with the help of the renormalisation group. Using expansions of the effective action about small, large, and purely imaginary fields, we obtain and solve exact recursion relations for all couplings and determine the $3d$ Wilson-Fisher fixed point analytically. For all $O(N)$ universality classes, we further establish that Wilson-Fisher fixed point solutions display singularities in the complex field plane, which dictate the radius of convergence for real-field expansions of the effective action. At infinite $N$, we find closed expressions for the convergence-limiting singularities and prove that local expansions of the effective action are powerful enough to uniquely determine the global Wilson-Fisher fixed point for any value of the fields. Implications of our findings for interacting fixed points in more complicated theories are indicated.

10.852333

10.920538

11.03102

10.527306

10.647722

10.953626

10.149593

9.976604

10.453018

12.06201

10.786592

10.484928

10.952772

10.45444

10.244427

10.690846

10.510828

10.249433

10.43257

10.863718

10.374224

hep-th/9307196

Sergei Lukyanov

S.Lukyanov

Free Field Representation For Massive Integrable Models

49 pages, RU-93-30

Commun.Math.Phys.167:183-226,1995

10.1007/BF02099357

null

hep-th

null

A new approach to massive integrable models is considered. It allows one to find symmetry algebras which define spaces of local operators and to get general integral representations for form-factors in the\ $ SU(2)$\ Thirring and Sine-Gordon models.

[ { "created": "Sat, 31 Jul 1993 17:42:03 GMT", "version": "v1" } ]

2010-11-01

[ [ "Lukyanov", "S.", "" ] ]

A new approach to massive integrable models is considered. It allows one to find symmetry algebras which define spaces of local operators and to get general integral representations for form-factors in the\ $ SU(2)$\ Thirring and Sine-Gordon models.

16.502728

13.261377

17.864147

13.044325

12.876832

12.113123

12.369455

13.648626

12.367792

17.285576

12.155008

13.493227

15.637512

13.552791

13.55404

12.993201

12.798187

13.75979

13.609571

14.822005

12.735912