LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2011.04688

Ricardo Zambujal Ferreira

Ricardo Z. Ferreira and Carlo Heissenberg

Super-Hawking Radiation

46 pages, 5 figures

JHEP 02 (2021) 038

10.1007/JHEP02(2021)038

null

hep-th gr-qc

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

We discuss modifications to the Hawking spectrum that arise when the asymptotic states are supertranslated or superrotated. For supertranslations we find nontrivial off-diagonal phases in the two-point correlator although the emission spectrum is eventually left unchanged, as previously pointed out in the literature. In contrast, superrotations give rise to modifications which manifest themselves in the emission spectrum and depend nontrivially on the associated conformal factor at future null infinity. We study Lorentz boosts and a class of superrotations whose conformal factors do not depend on the azimuthal angle on the celestial sphere and whose singularities at the north and south poles have been associated to the presence of a cosmic string. In spite of such singularities, superrotations still lead to finite spectral emission rates of particles and energy which display a distinctive power-law behavior at high frequencies for each angular momentum state. The integrated particle emission rate and emitted power, on the contrary, while finite for boosts, do exhibit ultraviolet divergences for superrotations, between logarithmic and quadratic. Such divergences can be ascribed to modes with support along the cosmic string. In the logarithimic case, corresponding to a superrotation which covers the sphere twice, the total power emitted still presents the Stefan-Boltzmann form but with an effective area which diverges logarithmically in the ultraviolet.

[ { "created": "Mon, 9 Nov 2020 19:13:14 GMT", "version": "v1" } ]

2021-02-09

[ [ "Ferreira", "Ricardo Z.", "" ], [ "Heissenberg", "Carlo", "" ] ]

We discuss modifications to the Hawking spectrum that arise when the asymptotic states are supertranslated or superrotated. For supertranslations we find nontrivial off-diagonal phases in the two-point correlator although the emission spectrum is eventually left unchanged, as previously pointed out in the literature. In contrast, superrotations give rise to modifications which manifest themselves in the emission spectrum and depend nontrivially on the associated conformal factor at future null infinity. We study Lorentz boosts and a class of superrotations whose conformal factors do not depend on the azimuthal angle on the celestial sphere and whose singularities at the north and south poles have been associated to the presence of a cosmic string. In spite of such singularities, superrotations still lead to finite spectral emission rates of particles and energy which display a distinctive power-law behavior at high frequencies for each angular momentum state. The integrated particle emission rate and emitted power, on the contrary, while finite for boosts, do exhibit ultraviolet divergences for superrotations, between logarithmic and quadratic. Such divergences can be ascribed to modes with support along the cosmic string. In the logarithimic case, corresponding to a superrotation which covers the sphere twice, the total power emitted still presents the Stefan-Boltzmann form but with an effective area which diverges logarithmically in the ultraviolet.

10.456445

10.42915

10.735258

10.169094

11.606129

10.695055

10.649362

10.782485

10.5043

11.132271

10.554259

10.396829

9.970939

10.08614

10.021402

10.183324

10.095114

10.055793

9.972548

10.401911

10.214996

hep-th/9903094

In Yong Park

F. Gonzalez-Rey, B. Kulik, I.Y. Park

Non-renormalization of two and three Point Correlators of N=4 SYM in N=1 Superspace

10 pages, 20 eps figures, references added

Phys.Lett. B455 (1999) 164-170

10.1016/S0370-2693(99)00416-5

null

hep-th

null

Certain two and three point functions of gauge invariant primary operators of ${\cal N}=4$ SYM are computed in ${\cal N}=1$ superspace keeping all the $\th$-components. This allows one to read off many component descendent correlators. Our results show the only possible $g^2_{YM}$ corrections to the free field correlators are contact terms. Therefore they vanish for operators at separate points, verifying the known non-renormalization theorems. This also implies the results are consistent with ${\cal N}=4$ supersymmetry even though the Lagrangian we use has only ${\cal N}=1$ manifest supersymmetry. We repeat some of the calculations using supersymmetric Landau gauge and obtain, as expected, the same results as those of supersymmetric Feynman gauge.

[ { "created": "Thu, 11 Mar 1999 02:16:07 GMT", "version": "v1" }, { "created": "Mon, 22 Mar 1999 23:46:09 GMT", "version": "v2" }, { "created": "Tue, 8 Jun 1999 22:10:48 GMT", "version": "v3" } ]

2009-10-31

[ [ "Gonzalez-Rey", "F.", "" ], [ "Kulik", "B.", "" ], [ "Park", "I. Y.", "" ] ]

Certain two and three point functions of gauge invariant primary operators of ${\cal N}=4$ SYM are computed in ${\cal N}=1$ superspace keeping all the $\th$-components. This allows one to read off many component descendent correlators. Our results show the only possible $g^2_{YM}$ corrections to the free field correlators are contact terms. Therefore they vanish for operators at separate points, verifying the known non-renormalization theorems. This also implies the results are consistent with ${\cal N}=4$ supersymmetry even though the Lagrangian we use has only ${\cal N}=1$ manifest supersymmetry. We repeat some of the calculations using supersymmetric Landau gauge and obtain, as expected, the same results as those of supersymmetric Feynman gauge.

8.579534

8.352878

8.32699

7.540339

7.999655

7.700816

8.01685

7.549138

8.139343

9.401614

7.935532

8.071219

8.374347

8.007797

8.033562

7.89083

8.115718

7.816445

8.036403

8.573315

8.002526

1408.6040

Konstantin Zarembo

Xinyi Chen-Lin, James Gordon and Konstantin Zarembo

N=2* Super-Yang-Mills Theory at Strong Coupling

34 pages, 9 figures; v2: the name of one author changed

null

10.1007/JHEP11(2014)057

NORDITA-2014-101, UUITP-10/14

hep-th

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

The planar N=2* Super-Yang-Mills (SYM) theory is solved at large 't Hooft coupling using localization on S(4). The solution permits detailed investigation of the resonance phenomena responsible for quantum phase transitions in infinite volume, and leads to quantitative predictions for the semiclassical string dual of the N=2* theory.

[ { "created": "Tue, 26 Aug 2014 07:50:11 GMT", "version": "v1" }, { "created": "Mon, 1 Sep 2014 12:37:23 GMT", "version": "v2" } ]

2015-06-22

[ [ "Chen-Lin", "Xinyi", "" ], [ "Gordon", "James", "" ], [ "Zarembo", "Konstantin", "" ] ]

The planar N=2* Super-Yang-Mills (SYM) theory is solved at large 't Hooft coupling using localization on S(4). The solution permits detailed investigation of the resonance phenomena responsible for quantum phase transitions in infinite volume, and leads to quantitative predictions for the semiclassical string dual of the N=2* theory.

13.617002

11.060342

16.219938

11.001249

10.720017

10.814646

11.398507

11.379389

10.522807

17.065878

11.447227

12.10727

12.824617

11.534066

11.682149

11.670081

11.76872

12.258902

11.30269

13.520164

11.575383

hep-th/9708021

Oleg Soloviev

Oleg A. Soloviev (Queen Mary College)

On the Schild action for D=0 and D=1 strings

12pp, latex file. Minor corrections

Mod.Phys.Lett.A13:2415-2426,1998

10.1142/S0217732398002576

QMW-PH-97-24

hep-th

null

It is shown that the integration measure over the matrix $Y$ in the matrix representation of the Schild action can be fixed by comparing the Schild matrix model with the random lattice string model for D=0. It is further checked that the given measure is consistent with the case D=1 as well.

[ { "created": "Tue, 5 Aug 1997 14:08:21 GMT", "version": "v1" }, { "created": "Wed, 6 Aug 1997 11:55:16 GMT", "version": "v2" }, { "created": "Tue, 12 Aug 1997 10:21:29 GMT", "version": "v3" }, { "created": "Thu, 27 Nov 1997 14:22:23 GMT", "version": "v4" } ]

2014-11-18

[ [ "Soloviev", "Oleg A.", "", "Queen Mary College" ] ]

It is shown that the integration measure over the matrix $Y$ in the matrix representation of the Schild action can be fixed by comparing the Schild matrix model with the random lattice string model for D=0. It is further checked that the given measure is consistent with the case D=1 as well.

17.27947

12.190755

15.467381

11.314059

10.922507

12.683057

12.47003

11.462887

12.169147

16.620634

10.744556

11.530195

12.00476

10.797302

10.961592

11.668675

11.945169

11.287275

11.33426

12.914932

11.127224

0808.2752

Delsate T\'erence

T. Delsate

New stable phase of non uniform black strings in ${AdS}_d$

Results extended. 14 pages, 5 figures

JHEP 0812:085,2008

10.1088/1126-6708/2008/12/085

null

hep-th

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

We consider the non uniform $AdS$ black string equations in arbitrary number of dimension in a perturbative approach up to order 2 and in a non perturbative. We restrict the study in the perturbative approach to the backreacting modes, since they provide the first relevant corrections on the thermodynamical quantities of the solutions. We also present some preliminary results in the construction of non-perturbative solutions, in particular, we present a first part of the non uniform - uniform black string phase diagram. Our results suggests the existence of a new stable phase for $AdS$ non uniform black strings, namely long non uniform black string, with the extra direction length of the order of the $AdS$ curvature.

[ { "created": "Wed, 20 Aug 2008 13:28:52 GMT", "version": "v1" }, { "created": "Wed, 22 Oct 2008 15:35:13 GMT", "version": "v2" } ]

2010-05-28

[ [ "Delsate", "T.", "" ] ]

We consider the non uniform $AdS$ black string equations in arbitrary number of dimension in a perturbative approach up to order 2 and in a non perturbative. We restrict the study in the perturbative approach to the backreacting modes, since they provide the first relevant corrections on the thermodynamical quantities of the solutions. We also present some preliminary results in the construction of non-perturbative solutions, in particular, we present a first part of the non uniform - uniform black string phase diagram. Our results suggests the existence of a new stable phase for $AdS$ non uniform black strings, namely long non uniform black string, with the extra direction length of the order of the $AdS$ curvature.

11.26735

11.409073

11.719098

10.541579

12.135948

11.645842

11.396

11.256227

10.849102

11.74913

10.667288

10.50176

10.948903

10.689082

10.681875

10.829904

10.458482

10.540781

10.421659

10.874548

10.462674

hep-th/9312024

Put

Wojciech Mulak

Quantum $SU(2,2)$-Harmonic Oscillator

10 pages, LaTex file

null

10.1016/0034-4877(93)90051-F

null

hep-th

null

The $SU(2,2)$-harmonic oscillator on the phase space ${\cal A}(2,2)= {SU(2,2)}/{S(U(2)\times U(2))}$ is quantized using the coherent states. The quantum Hamiltonian is the Toeplitz operator corresponding to the square of the distance with respect to the $SU(2,2)$-invariant K\"ahler metric on the phase space. Its spectrum, depending on the choice of representation of $SU(2,2)$, is computed.

[ { "created": "Fri, 3 Dec 1993 08:50:37 GMT", "version": "v1" } ]

2009-10-22

[ [ "Mulak", "Wojciech", "" ] ]

The $SU(2,2)$-harmonic oscillator on the phase space ${\cal A}(2,2)= {SU(2,2)}/{S(U(2)\times U(2))}$ is quantized using the coherent states. The quantum Hamiltonian is the Toeplitz operator corresponding to the square of the distance with respect to the $SU(2,2)$-invariant K\"ahler metric on the phase space. Its spectrum, depending on the choice of representation of $SU(2,2)$, is computed.

4.901812

4.623672

5.150198

4.546109

4.48815

4.563253

4.846459

4.735864

4.883027

5.355048

4.676564

4.854049

4.974349

4.5745

4.731845

4.55995

4.616858

4.566501

4.756463

4.963765

4.487989

hep-th/9503124

Edward Witten

String Theory Dynamics In Various Dimensions

54 pages, harvmac. Some references have been added and discussion of five-dimensional heterotic string expanded.

Nucl.Phys.B443:85-126,1995

10.1016/0550-3213(95)00158-O

null

hep-th

null

The strong coupling dynamics of string theories in dimension $d\geq 4$ are studied. It is argued, among other things, that eleven-dimensional supergravity arises as a low energy limit of the ten-dimensional Type IIA superstring, and that a recently conjectured duality between the heterotic string and Type IIA superstrings controls the strong coupling dynamics of the heterotic string in five, six, and seven dimensions and implies $S$ duality for both heterotic and Type II strings.

[ { "created": "Mon, 20 Mar 1995 15:17:17 GMT", "version": "v1" }, { "created": "Fri, 24 Mar 1995 15:42:49 GMT", "version": "v2" } ]

2010-04-07

[ [ "Witten", "Edward", "" ] ]

The strong coupling dynamics of string theories in dimension $d\geq 4$ are studied. It is argued, among other things, that eleven-dimensional supergravity arises as a low energy limit of the ten-dimensional Type IIA superstring, and that a recently conjectured duality between the heterotic string and Type IIA superstrings controls the strong coupling dynamics of the heterotic string in five, six, and seven dimensions and implies $S$ duality for both heterotic and Type II strings.

7.069744

6.119767

8.026464

6.288356

6.757406

6.859386

6.330718

6.4357

6.563856

8.034565

6.471798

6.467356

7.28223

6.662637

6.377937

6.644039

6.429463

6.361429

6.561171

7.192493

6.272163

2303.04836

Wen-Xin Lai

Luis Apolo, Peng-Xiang Hao, Wen-Xin Lai, Wei Song

Glue-on AdS holography for $T\bar T$-deformed CFTs

33 pages, 1 figure; v2: clarifications and references added, matches published version

JHEP06 (2023) 117

10.1007/JHEP06(2023)117

null

hep-th

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

The $T\bar T$ deformation is a solvable irrelevant deformation whose properties depend on the sign of the deformation parameter $\mu$. In particular, $T\bar T$-deformed CFTs with $\mu<0$ have been proposed to be holographically dual to Einstein gravity where the metric satisfies Dirichlet boundary conditions at a finite cutoff surface. In this paper, we put forward a holographic proposal for $T\bar T$-deformed CFTs with $\mu>0$, in which case the bulk geometry is constructed by gluing a patch of AdS$_3$ to the original spacetime. As evidence, we show that the $T\bar T$ trace flow equation, the spectrum on the cylinder, and the partition function on the torus and the sphere, among other results, can all be reproduced from bulk calculations in glue-on AdS$_3$.

[ { "created": "Wed, 8 Mar 2023 19:13:37 GMT", "version": "v1" }, { "created": "Fri, 23 Jun 2023 14:38:58 GMT", "version": "v2" } ]

2023-06-26

[ [ "Apolo", "Luis", "" ], [ "Hao", "Peng-Xiang", "" ], [ "Lai", "Wen-Xin", "" ], [ "Song", "Wei", "" ] ]

The $T\bar T$ deformation is a solvable irrelevant deformation whose properties depend on the sign of the deformation parameter $\mu$. In particular, $T\bar T$-deformed CFTs with $\mu<0$ have been proposed to be holographically dual to Einstein gravity where the metric satisfies Dirichlet boundary conditions at a finite cutoff surface. In this paper, we put forward a holographic proposal for $T\bar T$-deformed CFTs with $\mu>0$, in which case the bulk geometry is constructed by gluing a patch of AdS$_3$ to the original spacetime. As evidence, we show that the $T\bar T$ trace flow equation, the spectrum on the cylinder, and the partition function on the torus and the sphere, among other results, can all be reproduced from bulk calculations in glue-on AdS$_3$.

5.23907

4.653525

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4.368347

4.305447

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4.672296

4.209942

4.581655

6.308382

4.486776

4.635038

5.201355

4.736651

4.713884

4.617583

4.555361

4.625164

4.686012

5.244317

4.749903

0812.1975

Alfonso V. Ramallo

Alfonso V. Ramallo, Jonathan P. Shock and Dimitrios Zoakos

Holographic flavor in N=4 gauge theories in 3d from wrapped branes

44 pages, 6 figures

JHEP 0902:001,2009

10.1088/1126-6708/2009/02/001

null

hep-th

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

We study the addition of flavor to the gravity dual of N=4 three-dimensional gauge theories obtained by wrapping $N_c$ D4-branes on a two-cycle of a non-compact Calabi-Yau two-fold. In this setup the flavor is introduced by adding another set of D4-branes that are extended along the non-compact directions of the Calabi-Yau which are normal to the cycle which the color branes wrap. The analysis is performed both in the quenched and unquenched approximations. In this latter case we compute the backreacted metric and we show that it reproduces the running of the gauge coupling. The meson spectrum and the behavior of Wilson loops are also discussed and the holographic realization of the Higgs branch is analyzed. Other aspects of this system studied are the entanglement entropy and the non-relativistic version of our backgrounds.

[ { "created": "Wed, 10 Dec 2008 19:59:41 GMT", "version": "v1" } ]

2009-02-24

[ [ "Ramallo", "Alfonso V.", "" ], [ "Shock", "Jonathan P.", "" ], [ "Zoakos", "Dimitrios", "" ] ]

We study the addition of flavor to the gravity dual of N=4 three-dimensional gauge theories obtained by wrapping $N_c$ D4-branes on a two-cycle of a non-compact Calabi-Yau two-fold. In this setup the flavor is introduced by adding another set of D4-branes that are extended along the non-compact directions of the Calabi-Yau which are normal to the cycle which the color branes wrap. The analysis is performed both in the quenched and unquenched approximations. In this latter case we compute the backreacted metric and we show that it reproduces the running of the gauge coupling. The meson spectrum and the behavior of Wilson loops are also discussed and the holographic realization of the Higgs branch is analyzed. Other aspects of this system studied are the entanglement entropy and the non-relativistic version of our backgrounds.

6.61435

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7.366301

6.069974

6.515127

5.993571

6.124097

5.918558

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5.94762

6.53952

6.112205

6.150555

6.261356

6.08671

5.920561

6.191247

6.649134

6.036241

1502.02686

Pascal Anastasopoulos

Pascal Anastasopoulos, Robert Richter, A. N. Schellekens

Discrete symmetries from hidden sectors

20 pages

null

TUW-15-03, ZMP-HH/15-2, Nikhef/2015-004

hep-th

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

We study the presence of abelian discrete symmetries in globally consistent orientifold compactifications based on rational conformal field theory. We extend previous work [1] by allowing the discrete symmetries to be a linear combination of U(1) gauge factors of the visible as well as the hidden sector. This more general ansatz significantly increases the probability of finding a discrete symmetry in the low energy effective action. Applied to globally consistent MSSM-like Gepner constructions we find multiple models that allow for matter parity or Baryon triality.

[ { "created": "Mon, 9 Feb 2015 21:11:16 GMT", "version": "v1" } ]

2015-02-11

[ [ "Anastasopoulos", "Pascal", "" ], [ "Richter", "Robert", "" ], [ "Schellekens", "A. N.", "" ] ]

We study the presence of abelian discrete symmetries in globally consistent orientifold compactifications based on rational conformal field theory. We extend previous work [1] by allowing the discrete symmetries to be a linear combination of U(1) gauge factors of the visible as well as the hidden sector. This more general ansatz significantly increases the probability of finding a discrete symmetry in the low energy effective action. Applied to globally consistent MSSM-like Gepner constructions we find multiple models that allow for matter parity or Baryon triality.

8.78368

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9.893717

8.814008

8.59093

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8.628001

8.085873

8.152591

8.345258

8.106499

8.206848

8.077805

8.97871

8.113547

2001.03172

Wilke van der Schee

M\'ark Mezei and Wilke van der Schee

Black holes often saturate entanglement entropy the fastest

5 pages and 5 figures + supplemental material. v2: improved text, matches published version, v3: fixed a typo

Phys. Rev. Lett. 124, 201601 (2020)

10.1103/PhysRevLett.124.201601

null

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

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

There is a simple bound on how fast the entanglement entropy of a subregion of a many-body quantum system can saturate in a quench: $t_\text{sat}\geq R/v_B$, where $t_\text{sat}$ is the saturation time, $R$ the radius of the largest inscribed sphere, and $v_B$ the butterfly velocity characterizing operator growth. By combining analytic and numerical approaches, we show that in systems with a holographic dual, the saturation time is equal to this lower bound for a variety of differently shaped entangling surfaces, implying that the dual black holes saturate the entanglement entropy as fast as possible. This finding adds to the growing list of tasks that black holes are the fastest at. We furthermore analyze the complete time evolution of entanglement entropy for large regions with a variety of shapes, yielding more detailed information about the process of thermalization in these systems.

[ { "created": "Thu, 9 Jan 2020 19:00:00 GMT", "version": "v1" }, { "created": "Fri, 12 Jun 2020 10:54:36 GMT", "version": "v2" }, { "created": "Wed, 9 Dec 2020 15:40:57 GMT", "version": "v3" } ]

2020-12-10

[ [ "Mezei", "Márk", "" ], [ "van der Schee", "Wilke", "" ] ]

There is a simple bound on how fast the entanglement entropy of a subregion of a many-body quantum system can saturate in a quench: $t_\text{sat}\geq R/v_B$, where $t_\text{sat}$ is the saturation time, $R$ the radius of the largest inscribed sphere, and $v_B$ the butterfly velocity characterizing operator growth. By combining analytic and numerical approaches, we show that in systems with a holographic dual, the saturation time is equal to this lower bound for a variety of differently shaped entangling surfaces, implying that the dual black holes saturate the entanglement entropy as fast as possible. This finding adds to the growing list of tasks that black holes are the fastest at. We furthermore analyze the complete time evolution of entanglement entropy for large regions with a variety of shapes, yielding more detailed information about the process of thermalization in these systems.

6.720318

6.186501

6.732579

6.368331

6.385772

6.760231

6.362041

6.300527

6.076593

7.923259

6.107146

6.31166

6.74229

6.550453

6.460757

6.413937

6.317687

6.350934

6.577839

6.693209

6.480115

hep-th/9208005

Shahn Majid

S. Majid

Quantum Random Walks and Time Reversal

32 pages, LATEX, (DAMTP/92-20)

Int.J.Mod.Phys. A8 (1993) 4521-4546

10.1142/S0217751X93001818

null

hep-th

null

Classical random walks and Markov processes are easily described by Hopf algebras. It is also known that groups and Hopf algebras (quantum groups) lead to classical and quantum diffusions. We study here the more primitive notion of a quantum random walk associated to a general Hopf algebra and show that it has a simple physical interpretation in quantum mechanics. This is by means of a representation theorem motivated from the theory of Kac algebras: If $H$ is any Hopf algebra, it may be realised in $\Lin(H)$ in such a way that $\Delta h=W(h\tens 1)W^{-1}$ for an operator $W$. This $W$ is interpreted as the time evolution operator for the system at time $t$ coupled quantum-mechanically to the system at time $t+\delta$. Finally, for every Hopf algebra there is a dual one, leading us to a duality operation for quantum random walks and quantum diffusions and a notion of the coentropy of an observable. The dual system has its time reversed with respect to the original system, leading us to a CTP-type theorem.

[ { "created": "Mon, 3 Aug 1992 11:30:58 GMT", "version": "v1" } ]

2015-06-26

[ [ "Majid", "S.", "" ] ]

Classical random walks and Markov processes are easily described by Hopf algebras. It is also known that groups and Hopf algebras (quantum groups) lead to classical and quantum diffusions. We study here the more primitive notion of a quantum random walk associated to a general Hopf algebra and show that it has a simple physical interpretation in quantum mechanics. This is by means of a representation theorem motivated from the theory of Kac algebras: If $H$ is any Hopf algebra, it may be realised in $\Lin(H)$ in such a way that $\Delta h=W(h\tens 1)W^{-1}$ for an operator $W$. This $W$ is interpreted as the time evolution operator for the system at time $t$ coupled quantum-mechanically to the system at time $t+\delta$. Finally, for every Hopf algebra there is a dual one, leading us to a duality operation for quantum random walks and quantum diffusions and a notion of the coentropy of an observable. The dual system has its time reversed with respect to the original system, leading us to a CTP-type theorem.

10.527693

11.394416

10.805984

10.463552

11.053938

12.220154

11.575516

11.082112

10.272066

11.158025

9.927582

10.058485

10.174594

9.93657

9.785775

10.087271

9.892215

10.034889

9.844542

10.618456

9.885389

hep-th/9407064

Roberto Emparan

R. Emparan

Heat kernels and thermodynamics in Rindler space

9 pages , LaTex, EHU-FT-94/5 (Revised version: the role played by regularization is clarified)

Phys.Rev.D51:5716-5719,1995

10.1103/PhysRevD.51.5716

null

hep-th gr-qc

null

We point out that using the heat kernel on a cone to compute the first quantum correction to the entropy of Rindler space does not yield the correct temperature dependence. In order to obtain the physics at arbitrary temperature one must compute the heat kernel in a geometry with different topology (without a conical singularity). This is done in two ways, which are shown to agree with computations performed by other methods. Also, we discuss the ambiguities in the regularization procedure.

[ { "created": "Wed, 13 Jul 1994 09:09:00 GMT", "version": "v1" }, { "created": "Tue, 16 Aug 1994 15:33:00 GMT", "version": "v2" } ]

2010-11-01

[ [ "Emparan", "R.", "" ] ]

We point out that using the heat kernel on a cone to compute the first quantum correction to the entropy of Rindler space does not yield the correct temperature dependence. In order to obtain the physics at arbitrary temperature one must compute the heat kernel in a geometry with different topology (without a conical singularity). This is done in two ways, which are shown to agree with computations performed by other methods. Also, we discuss the ambiguities in the regularization procedure.

12.523521

10.771852

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10.226562

2212.03262

Yi Pang

Liang Ma, Yi Pang, H. Lu

Negative Corrections to Black Hole Entropy from String Theory

Latex, 12 pages, 4 graphs grouped into 1 figure, correct a crucial typo

Sci.China Phys.Mech.Astron. 66 (2023) 12, 121011

10.1007/s11433-023-2257-6

null

hep-th gr-qc

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

We report for the first time that in heterotic string compactified on 4-torus or equivalently IIA string compactified on K3, the leading $\alpha'$ corrections to the rotating black string entropy at fixed conserved charges can be negative. This further implies that the correction to the mass of extremal rotating string is positive, opposite to the standard expectation from the weak gravity conjecture. Our result suggests that the validity of positivity of entropy shift due to higher order operators depends on other factors omitted previously in the effective field theory analysis.

[ { "created": "Tue, 6 Dec 2022 19:00:01 GMT", "version": "v1" }, { "created": "Wed, 10 May 2023 06:58:09 GMT", "version": "v2" }, { "created": "Wed, 18 Oct 2023 01:24:11 GMT", "version": "v3" } ]

2023-11-20

[ [ "Ma", "Liang", "" ], [ "Pang", "Yi", "" ], [ "Lu", "H.", "" ] ]

We report for the first time that in heterotic string compactified on 4-torus or equivalently IIA string compactified on K3, the leading $\alpha'$ corrections to the rotating black string entropy at fixed conserved charges can be negative. This further implies that the correction to the mass of extremal rotating string is positive, opposite to the standard expectation from the weak gravity conjecture. Our result suggests that the validity of positivity of entropy shift due to higher order operators depends on other factors omitted previously in the effective field theory analysis.

16.722946

15.761541

15.392422

13.064366

16.214582

13.853464

13.678323

14.983187

13.088705

17.505188

14.113482

14.194674

14.39059

14.564822

14.060987

14.03688

14.786189

14.655482

13.526939

14.84982

14.248482

hep-th/9312144

null

H.Aratyn, L.A. Ferreira and A.H. Zimerman

On Discrete Symmetries of the Multi-Boson KP Hierarchies

11 pgs, LaTeX, IFT-P/75/93, UICHEP-TH/93-17

Phys.Lett. B327 (1994) 266-273

10.1016/0370-2693(94)90727-7

null

hep-th nlin.SI solv-int

null

We show that the multi-boson KP hierarchies possess a class of discrete symmetries linking them to the discrete Toda systems. These discrete symmetries are generated by the similarity transformation of the corresponding Lax operator. This establishes a canonical nature of the discrete transformations. The spectral equation, which defines both the lattice system and the corresponding Lax operator, plays a key role in determining pertinent symmetry structure. We also introduce a concept of the square-root lattice leading to a family of new pseudo-differential operators with covariance under additional B\"{a}cklund transformations.

[ { "created": "Thu, 16 Dec 1993 13:43:09 GMT", "version": "v1" } ]

2009-10-22

[ [ "Aratyn", "H.", "" ], [ "Ferreira", "L. A.", "" ], [ "Zimerman", "A. H.", "" ] ]

We show that the multi-boson KP hierarchies possess a class of discrete symmetries linking them to the discrete Toda systems. These discrete symmetries are generated by the similarity transformation of the corresponding Lax operator. This establishes a canonical nature of the discrete transformations. The spectral equation, which defines both the lattice system and the corresponding Lax operator, plays a key role in determining pertinent symmetry structure. We also introduce a concept of the square-root lattice leading to a family of new pseudo-differential operators with covariance under additional B\"{a}cklund transformations.

14.215375

14.73135

16.036617

13.256372

14.049167

14.877505

13.520239

13.098445

13.069677

14.952819

12.524627

13.29526

13.713714

12.833077

13.123881

13.490928

13.357318

12.961267

13.306568

13.041193

12.494741

hep-th/9705054

Harrison Sheinblatt

Harrison J. Sheinblatt

Statistical Entropy of an Extremal Black Hole with 0- and 6-Brane Charge

13 pages using harvmac, minor correction, ref added

Phys. Rev. D 57, 2421 (1998)

10.1103/PhysRevD.57.2421

null

hep-th

null

A black hole solution to low energy type IIA string theory which is extremal, non-supersymmetric, and carries 0- and 6-brane charge is presented. For large values of the charges it is metastable and a corresponding D-brane picture can be found. The mass and statistical entropy of the two descriptions agree at a correspondence point up to factors of order one, providing more evidence that the correspondence principle for black holes and strings of Horowitz and Polchinski may be extended to include black holes with more than one Ramond-Ramond charge.

[ { "created": "Thu, 8 May 1997 20:14:08 GMT", "version": "v1" }, { "created": "Thu, 15 May 1997 22:58:15 GMT", "version": "v2" } ]

2016-08-25

[ [ "Sheinblatt", "Harrison J.", "" ] ]

A black hole solution to low energy type IIA string theory which is extremal, non-supersymmetric, and carries 0- and 6-brane charge is presented. For large values of the charges it is metastable and a corresponding D-brane picture can be found. The mass and statistical entropy of the two descriptions agree at a correspondence point up to factors of order one, providing more evidence that the correspondence principle for black holes and strings of Horowitz and Polchinski may be extended to include black holes with more than one Ramond-Ramond charge.

11.806706

8.962084

13.083785

9.624285

10.353996

9.785728

8.218198

9.275834

9.224639

11.70541

8.958889

9.304706

11.119907

9.222588

9.959366

9.223049

9.306533

9.673345

9.030905

10.537906

9.137452

2306.12175

Richard Szabo

Richard J. Szabo, Guillaume Trojani

Homotopy double copy of noncommutative gauge theories

78 pages, 1 figure; v2: new concluding section added; Contribution to the Special Issue of Symmetry on "Quantum Geometry and Symmetries of String Theory"

null

EMPG-23-10

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

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

We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour symmetries taking the role of the zeroth copy, where the deformed colour algebra plays the role of a kinematic algebra; some of these theories have a trivial classical limit but exhibit colour-kinematics duality, from which we construct the double copy theory explicitly. We show that noncommutative gauge theories exhibit a twisted form of colour-kinematics duality, which we use to show that their double copies match with the commutative case. We illustrate this explicitly for Chern-Simons theory, and also for Yang-Mills theory where we obtain a modified Kawai-Lewellen-Tye relation whose momentum kernel is linked to a binoncommutative biadjoint scalar theory. We reinterpret rank one noncommutative gauge theories as double copy theories, and discuss how our findings tie in with recent discussions of Moyal-Weyl deformations of self-dual Yang-Mills theory and gravity.

[ { "created": "Wed, 21 Jun 2023 11:10:14 GMT", "version": "v1" }, { "created": "Tue, 1 Aug 2023 09:03:58 GMT", "version": "v2" } ]

2023-08-02

[ [ "Szabo", "Richard J.", "" ], [ "Trojani", "Guillaume", "" ] ]

We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour symmetries taking the role of the zeroth copy, where the deformed colour algebra plays the role of a kinematic algebra; some of these theories have a trivial classical limit but exhibit colour-kinematics duality, from which we construct the double copy theory explicitly. We show that noncommutative gauge theories exhibit a twisted form of colour-kinematics duality, which we use to show that their double copies match with the commutative case. We illustrate this explicitly for Chern-Simons theory, and also for Yang-Mills theory where we obtain a modified Kawai-Lewellen-Tye relation whose momentum kernel is linked to a binoncommutative biadjoint scalar theory. We reinterpret rank one noncommutative gauge theories as double copy theories, and discuss how our findings tie in with recent discussions of Moyal-Weyl deformations of self-dual Yang-Mills theory and gravity.

9.561994

8.635013

10.162709

8.651474

9.087213

8.82075

8.659044

8.651642

8.374739

11.354383

8.721795

8.968023

9.667286

9.002101

9.225345

8.917077

8.892554

8.844038

8.900825

9.773834

8.62466

1010.0860

Jutta Kunz

Yves Brihaye, Burkhard Kleihaus, Jutta Kunz, Eugen Radu

Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory

25 pages, 7 figures

JHEP 1011:098,2010

10.1007/JHEP11(2010)098

null

hep-th gr-qc

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

We construct rotating black hole solutions in Einstein-Gauss-Bonnet theory in five spacetime dimensions. These black holes are asymptotically flat, and possess a regular horizon of spherical topology and two equal-magnitude angular momenta associated with two distinct planes of rotation. The action and global charges of the solutions are obtained by using the quasilocal formalism with boundary counterterms generalized for the case of Einstein-Gauss-Bonnet theory. We discuss the general properties of these black holes and study their dependence on the Gauss-Bonnet coupling constant $\alpha$. We argue that most of the properties of the configurations are not affected by the higher derivative terms. For fixed $\alpha$ the set of black hole solutions terminates at an extremal black hole with a regular horizon, where the Hawking temperature vanishes and the angular momenta attain their extremal values. The domain of existence of regular black hole solutions is studied. The near horizon geometry of the extremal solutions is determined by employing the entropy function formalism.

[ { "created": "Tue, 5 Oct 2010 12:19:58 GMT", "version": "v1" } ]

2015-03-17

[ [ "Brihaye", "Yves", "" ], [ "Kleihaus", "Burkhard", "" ], [ "Kunz", "Jutta", "" ], [ "Radu", "Eugen", "" ] ]

We construct rotating black hole solutions in Einstein-Gauss-Bonnet theory in five spacetime dimensions. These black holes are asymptotically flat, and possess a regular horizon of spherical topology and two equal-magnitude angular momenta associated with two distinct planes of rotation. The action and global charges of the solutions are obtained by using the quasilocal formalism with boundary counterterms generalized for the case of Einstein-Gauss-Bonnet theory. We discuss the general properties of these black holes and study their dependence on the Gauss-Bonnet coupling constant $\alpha$. We argue that most of the properties of the configurations are not affected by the higher derivative terms. For fixed $\alpha$ the set of black hole solutions terminates at an extremal black hole with a regular horizon, where the Hawking temperature vanishes and the angular momenta attain their extremal values. The domain of existence of regular black hole solutions is studied. The near horizon geometry of the extremal solutions is determined by employing the entropy function formalism.

5.987724

6.308587

5.110479

5.100054

5.905954

5.913172

6.167329

5.22584

5.675093

5.695392

5.963096

5.89322

5.501451

5.517011

5.581766

5.519194

5.588531

5.546793

5.779355

5.854579

5.59764

2202.11111

Ren\'e Meyer

Suting Zhao, Christian Northe, Konstantin Weisenberger, Ren\'e Meyer

Charged Moments in $W_3$ Higher Spin Holography

28 pages, no figures, v2: accepted for publication in JHEP

null

10.1007/JHEP05(2022)166

null

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

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

We consider the charged moments in $SL(3,\mathbb{R})$ higher spin holography, as well as in the dual two-dimensional conformal field theory with $W_3$ symmetry. For the vacuum state and a single entangling interval, we show that the $W_3$ algebra of the conformal field theory induces an entanglement $W_3$ algebra acting on the quantum state in the entangling interval. The algebra contains a spin 3 modular charge which commutes with the modular Hamiltonian. The reduced density matrix is characterized by the modular energy and modular charge, hence our definition of the charged moments is also with respect to these conserved quantities. We evaluate the logarithm of the charged moments perturbatively in the spin 3 modular chemical potential, by computing the corresponding connected correlation functions of the modular charge operator up to quartic order in the chemical potential. This method provides access to the charged moments without using charged twist fields. Our result matches known results for the charged moment obtained from the charged topological black hole picture in $SL(3,\mathbb{R})$ higher spin gravity. Since our charged moments are not Gaussian in the chemical potential any longer, we conclude that the dual $W_3$ conformal field theories must feature breakdown of equipartition of entanglement to leading order in the large $c$ expansion.

[ { "created": "Tue, 22 Feb 2022 19:00:05 GMT", "version": "v1" }, { "created": "Tue, 3 May 2022 09:49:34 GMT", "version": "v2" } ]

2022-06-15

[ [ "Zhao", "Suting", "" ], [ "Northe", "Christian", "" ], [ "Weisenberger", "Konstantin", "" ], [ "Meyer", "René", "" ] ]

We consider the charged moments in $SL(3,\mathbb{R})$ higher spin holography, as well as in the dual two-dimensional conformal field theory with $W_3$ symmetry. For the vacuum state and a single entangling interval, we show that the $W_3$ algebra of the conformal field theory induces an entanglement $W_3$ algebra acting on the quantum state in the entangling interval. The algebra contains a spin 3 modular charge which commutes with the modular Hamiltonian. The reduced density matrix is characterized by the modular energy and modular charge, hence our definition of the charged moments is also with respect to these conserved quantities. We evaluate the logarithm of the charged moments perturbatively in the spin 3 modular chemical potential, by computing the corresponding connected correlation functions of the modular charge operator up to quartic order in the chemical potential. This method provides access to the charged moments without using charged twist fields. Our result matches known results for the charged moment obtained from the charged topological black hole picture in $SL(3,\mathbb{R})$ higher spin gravity. Since our charged moments are not Gaussian in the chemical potential any longer, we conclude that the dual $W_3$ conformal field theories must feature breakdown of equipartition of entanglement to leading order in the large $c$ expansion.

8.689684

9.191526

9.762939

8.92075

9.471321

9.03635

8.656729

8.679868

8.461992

11.060402

8.51936

8.741081

8.98236

8.6398

9.20165

8.797095

9.014421

8.62763

8.839601

8.84975

8.544544

hep-th/9604001

null

Fiorenzo Bastianelli and Ulf Lindstrom

C-theorem for two dimensional chiral theories

7 pages, uses harvmac.tex

Phys.Lett. B380 (1996) 341-345

10.1016/0370-2693(96)00510-2

null

hep-th cond-mat

null

We discuss an extension of the $C$-theorem to chiral theories. We show that two monotonically decreasing $C$-functions can be introduced. However, their difference is a constant of the renormalization group flow. This constant reproduces the 't Hooft anomaly matching conditions.

[ { "created": "Mon, 1 Apr 1996 09:48:46 GMT", "version": "v1" } ]

2009-10-30

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Lindstrom", "Ulf", "" ] ]

We discuss an extension of the $C$-theorem to chiral theories. We show that two monotonically decreasing $C$-functions can be introduced. However, their difference is a constant of the renormalization group flow. This constant reproduces the 't Hooft anomaly matching conditions.

8.20761

6.7576

6.616696

6.330193

7.373588

6.623018

6.829032

6.590969

6.449719

7.719163

6.106011

7.325005

7.623579

7.000661

6.88316

7.391653

6.923617

7.168251

7.420334

7.193432

7.303838

0905.3451

Shlomo S. Razamat

Ari Pakman, Leonardo Rastelli, and Shlomo S. Razamat

Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds

36 pages, 3 figures, v2: minor improvements

Phys.Rev.D80:086009,2009

10.1103/PhysRevD.80.086009

Brown-HET-1582, YITP-SB-09-12

hep-th

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

We study correlation functions of single-cycle chiral operators in the symmetric product orbifold of N supersymmetric four-tori. Correlators of twist operators are evaluated on covering surfaces, generally of different genera, where fields are single-valued. We compute some simple four-point functions and study how the sum over inequivalent branched covering maps splits under OPEs. We then discuss extremal n-point correlators, i.e. correlators of n-1 chiral and one anti-chiral operators. They obey simple recursion relations involving numbers obtained from counting branched covering maps with particular properties. In most cases we are able to solve explicitly the recursion relations. Remarkably, extremal correlators turn out to be equal to Hurwitz numbers.

[ { "created": "Thu, 21 May 2009 19:40:28 GMT", "version": "v1" }, { "created": "Wed, 21 Oct 2009 23:23:08 GMT", "version": "v2" } ]

2009-11-05

[ [ "Pakman", "Ari", "" ], [ "Rastelli", "Leonardo", "" ], [ "Razamat", "Shlomo S.", "" ] ]

We study correlation functions of single-cycle chiral operators in the symmetric product orbifold of N supersymmetric four-tori. Correlators of twist operators are evaluated on covering surfaces, generally of different genera, where fields are single-valued. We compute some simple four-point functions and study how the sum over inequivalent branched covering maps splits under OPEs. We then discuss extremal n-point correlators, i.e. correlators of n-1 chiral and one anti-chiral operators. They obey simple recursion relations involving numbers obtained from counting branched covering maps with particular properties. In most cases we are able to solve explicitly the recursion relations. Remarkably, extremal correlators turn out to be equal to Hurwitz numbers.

12.314971

13.069728

15.113124

12.19515

13.569162

12.175618

11.720031

10.855977

11.497149

16.338497

11.414572

12.068712

13.035825

11.103209

11.763888

11.79498

11.659444

11.720165

11.698546

13.108881

11.556334

1409.0559

Keshav Dasgupta

Keshav Dasgupta, Charles Gale, Mohammed Mia, Michael Richard, Olivier Trottier

Infrared Dynamics of a Large N QCD Model, the Massless String Sector and Mesonic Spectra

47 pages, 7 pdf figures, 24 tables, JHEP format; Detailed mathematica file of the computations is available on request; Version 2: Text elaborated, typos corrected, a new appendix added to discuss the regimes of validity, and a word in the abstract changed. Results unchanged. Final version to appear in JHEP

null

hep-th hep-ph nucl-th

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

A consistency check for any UV complete model for large N QCD should be, among other things, the existence of a well-defined vector and scalar mesonic spectra. In this paper, we use our UV complete model in type IIB string theory to study the IR dynamics and use this to predict the mesonic spectra in the dual type IIA side. The advantage of this approach is two-fold: not only will this justify the consistency of the supergravity approach, but it will also give us a way to compare the IR spectra and the model with the ones proposed earlier by Sakai and Sugimoto. Interestingly, the spectra coming from the massless stringy sector are independent of the UV physics, although the massive string sector may pose certain subtleties regarding the UV contributions as well as the mappings to actual QCD. Additionally, we find that a component of the string landscape enters the picture: there are points in the landscape where the spectra can be considerably improved over the existing results in the literature. These points in the landscape in-turn also determine certain background supergravity components and fix various pathologies that eventually lead to a consistent low energy description of the theory.

[ { "created": "Mon, 1 Sep 2014 20:27:28 GMT", "version": "v1" }, { "created": "Wed, 22 Jul 2015 00:56:03 GMT", "version": "v2" } ]

2015-07-23

[ [ "Dasgupta", "Keshav", "" ], [ "Gale", "Charles", "" ], [ "Mia", "Mohammed", "" ], [ "Richard", "Michael", "" ], [ "Trottier", "Olivier", "" ] ]

A consistency check for any UV complete model for large N QCD should be, among other things, the existence of a well-defined vector and scalar mesonic spectra. In this paper, we use our UV complete model in type IIB string theory to study the IR dynamics and use this to predict the mesonic spectra in the dual type IIA side. The advantage of this approach is two-fold: not only will this justify the consistency of the supergravity approach, but it will also give us a way to compare the IR spectra and the model with the ones proposed earlier by Sakai and Sugimoto. Interestingly, the spectra coming from the massless stringy sector are independent of the UV physics, although the massive string sector may pose certain subtleties regarding the UV contributions as well as the mappings to actual QCD. Additionally, we find that a component of the string landscape enters the picture: there are points in the landscape where the spectra can be considerably improved over the existing results in the literature. These points in the landscape in-turn also determine certain background supergravity components and fix various pathologies that eventually lead to a consistent low energy description of the theory.

17.888496

18.333572

17.327278

17.071501

17.596413

17.86891

18.581205

16.727644

16.027225

16.66151

16.116743

16.098394

16.971762

16.403851

16.563007

15.716024

15.448665

15.662646

15.43882

16.792044

15.776581

1508.03340

Alfredo Perez

Claudio Bunster and Alfredo Perez

Space-filling branes of gravitational ancestry

Improved and final version of the manuscript previously entitled "G-branes." Matches published version in Physical Review D

null

10.1103/PhysRevD.92.124070

null

hep-th gr-qc

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

We introduce a new kind of space-filling brane, which we term "G-brane" because its action is a descendant of the gravitational action. The G-brane may be thought of as the remanent of the gravitational field when the propagating gravitons are removed. The G-brane is different from the Dirac or Nambu space-filling branes. Its properties in any spacetime dimension D are exhibited. When the spacetime dimension D is greater than or equal to three, the G-brane does not possess propagating degrees of freedom, just as the Dirac or Nambu branes. For D=3 the G-brane yields a reformulation of gravitation theory in which the Hamiltonian constraints can be solved explicitly, while keeping the spacetime structure manifest. For D=2 the G-brane provides a realization of the conformal algebra, i.e. a conformal field theory, in terms of two scalar fields and their conjugates, which possesses a classical central charge. In the G-brane reformulation of (2+1) gravity, the boundary degrees of freedom of the gravitational field in asymptotically anti-de Sitter space appear as "matter" coupled to the (1+1) G-brane on the boundary.

[ { "created": "Thu, 13 Aug 2015 20:07:55 GMT", "version": "v1" }, { "created": "Mon, 4 Jan 2016 21:09:39 GMT", "version": "v2" } ]

2016-01-06

[ [ "Bunster", "Claudio", "" ], [ "Perez", "Alfredo", "" ] ]

We introduce a new kind of space-filling brane, which we term "G-brane" because its action is a descendant of the gravitational action. The G-brane may be thought of as the remanent of the gravitational field when the propagating gravitons are removed. The G-brane is different from the Dirac or Nambu space-filling branes. Its properties in any spacetime dimension D are exhibited. When the spacetime dimension D is greater than or equal to three, the G-brane does not possess propagating degrees of freedom, just as the Dirac or Nambu branes. For D=3 the G-brane yields a reformulation of gravitation theory in which the Hamiltonian constraints can be solved explicitly, while keeping the spacetime structure manifest. For D=2 the G-brane provides a realization of the conformal algebra, i.e. a conformal field theory, in terms of two scalar fields and their conjugates, which possesses a classical central charge. In the G-brane reformulation of (2+1) gravity, the boundary degrees of freedom of the gravitational field in asymptotically anti-de Sitter space appear as "matter" coupled to the (1+1) G-brane on the boundary.

6.484169

5.978867

6.595046

5.999371

6.301578

6.430953

6.801455

6.044828

6.13813

6.999052

6.154483

5.931154

6.292735

5.929879

5.941316

5.889638

5.994378

5.988294

5.985541

6.155014

6.141215

1801.03199

Napat Poovuttikul

Sa\v{s}o Grozdanov and Napat Poovuttikul

Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography

v3: 15+5 pages, 6 figures, references and further explanations added. Version to appear in PRD

Phys. Rev. D 97, 106005 (2018)

10.1103/PhysRevD.97.106005

MIT-CTP/4966

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

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

In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalised global symmetries even when the microscopic origins of these symmetries are unknown. Using this philosophy, we build an effective theory of a $2+1$-dimensional fluid state with two perpendicular sets of immersed elastic line defects. When the number of defects is independently conserved in each set, then the state possesses two one-form symmetries. Normally, such viscoelastic states are described as fluids coupled to Goldstone bosons associated with spontaneous breaking of translational symmetry caused by the underlying microscopic structure---the principle feature of which is a transverse sound mode. At the linear, non-dissipative level, we verify that our theory, based entirely on symmetry principles, is equivalent to a viscoelastic theory. We then build a simple holographic dual of such a state containing dynamical gravity and two two-form gauge fields, and use it to study its hydrodynamic and higher-energy spectral properties characterised by non-hydrodynamic, gapped modes. Based on the holographic analysis of transverse two-point functions, we study consistency between low-energy predictions of the bulk theory and the effective boundary theory. Various new features of the holographic dictionary are explained in theories with higher-form symmetries, such as the mixed-boundary-condition modification of the quasinormal mode prescription that depends on the running coupling of the boundary double-trace deformations. Furthermore, we examine details of low- and high-energy parts of the spectrum that depend on temperature, line defect densities and the renormalisation group scale.

[ { "created": "Wed, 10 Jan 2018 00:37:45 GMT", "version": "v1" }, { "created": "Mon, 22 Jan 2018 17:23:24 GMT", "version": "v2" }, { "created": "Tue, 24 Apr 2018 16:39:00 GMT", "version": "v3" } ]

2018-05-18

[ [ "Grozdanov", "Sašo", "" ], [ "Poovuttikul", "Napat", "" ] ]

In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalised global symmetries even when the microscopic origins of these symmetries are unknown. Using this philosophy, we build an effective theory of a $2+1$-dimensional fluid state with two perpendicular sets of immersed elastic line defects. When the number of defects is independently conserved in each set, then the state possesses two one-form symmetries. Normally, such viscoelastic states are described as fluids coupled to Goldstone bosons associated with spontaneous breaking of translational symmetry caused by the underlying microscopic structure---the principle feature of which is a transverse sound mode. At the linear, non-dissipative level, we verify that our theory, based entirely on symmetry principles, is equivalent to a viscoelastic theory. We then build a simple holographic dual of such a state containing dynamical gravity and two two-form gauge fields, and use it to study its hydrodynamic and higher-energy spectral properties characterised by non-hydrodynamic, gapped modes. Based on the holographic analysis of transverse two-point functions, we study consistency between low-energy predictions of the bulk theory and the effective boundary theory. Various new features of the holographic dictionary are explained in theories with higher-form symmetries, such as the mixed-boundary-condition modification of the quasinormal mode prescription that depends on the running coupling of the boundary double-trace deformations. Furthermore, we examine details of low- and high-energy parts of the spectrum that depend on temperature, line defect densities and the renormalisation group scale.

11.673451

12.886168

13.690319

12.264508

12.787049

13.594496

13.209371

12.726669

12.377527

14.010348

12.454599

12.093771

12.330979

11.97117

11.720235

11.806631

12.031539

12.141953

11.624113

12.504803

11.803041

2007.11611

Keshav Dasgupta

Suddhasattwa Brahma, Keshav Dasgupta, Radu Tatar

de Sitter Space as a Glauber-Sudarshan State

124 pages, 1 figure; v2: Typos corrected and references added; v3: Some approximate results in sec 3.2 replaced by exact ones, typos corrected and references updated; v4: sec 3.3 elaborated, typos corrected and references updated. Final version to appear in JHEP

null

10.1007/JHEP02(2021)104

null

hep-th gr-qc

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

Glauber-Sudarshan states, sometimes simply referred to as Glauber states, or alternatively as coherent and squeezed-coherent states, are interesting states in the configuration spaces of any quantum field theories, that closely resemble classical trajectories in space-time. In this paper, we identify four-dimensional de Sitter space as a coherent state over a supersymmetric Minkowski vacuum. Although such an identification is not new, what is new however is the claim that this is realizable in full string theory, but only in conjunction with temporally varying degrees of freedom and quantum corrections resulting from them. Furthermore, fluctuations over the de Sitter space is governed by a generalized graviton (and flux)-added coherent state, also known as the Agarwal-Tara state. The realization of de Sitter space as a state, and not as a vacuum, resolves many issues associated with its entropy, zero-point energy and trans-Planckian censorship, amongst other things.

[ { "created": "Wed, 22 Jul 2020 18:15:35 GMT", "version": "v1" }, { "created": "Mon, 3 Aug 2020 19:17:15 GMT", "version": "v2" }, { "created": "Sat, 12 Sep 2020 05:48:02 GMT", "version": "v3" }, { "created": "Tue, 12 Jan 2021 19:46:06 GMT", "version": "v4" } ]

2021-03-17

[ [ "Brahma", "Suddhasattwa", "" ], [ "Dasgupta", "Keshav", "" ], [ "Tatar", "Radu", "" ] ]

Glauber-Sudarshan states, sometimes simply referred to as Glauber states, or alternatively as coherent and squeezed-coherent states, are interesting states in the configuration spaces of any quantum field theories, that closely resemble classical trajectories in space-time. In this paper, we identify four-dimensional de Sitter space as a coherent state over a supersymmetric Minkowski vacuum. Although such an identification is not new, what is new however is the claim that this is realizable in full string theory, but only in conjunction with temporally varying degrees of freedom and quantum corrections resulting from them. Furthermore, fluctuations over the de Sitter space is governed by a generalized graviton (and flux)-added coherent state, also known as the Agarwal-Tara state. The realization of de Sitter space as a state, and not as a vacuum, resolves many issues associated with its entropy, zero-point energy and trans-Planckian censorship, amongst other things.

14.416417

16.560339

16.910358

14.529497

16.092575

15.318651

14.469874

13.928477

14.766458

18.533577

14.559981

14.355448

14.767776

13.981688

14.154425

13.771737

13.863985

14.178899

14.286123

14.365014

14.178179

0710.1059

Pietro Fre

Pietro Fr\'e and Alexander S. Sorin

The arrow of time and the Weyl group: all supergravity billiards are integrable

73 pages 34 figures. Research paper, not review

null

hep-th astro-ph nlin.SI

null

In this paper we show that all supergravity billiards corresponding to sigma-models on any U/H non compact-symmetric space and obtained by compactifying supergravity to D=3 are fully integrable. The key point in establishing the integration algorithm is provided by an upper triangular embedding of the solvable Lie algebra associated with U/H into SL(N,R) which always exists. In this context we establish a remarkable relation between the arrow of time and the properties of the Weyl group. The asymptotic states of the developing Universe are in one-to-one correspondence with the elements of the Weyl group which is a property of the Tits Satake universality classes and not of their single representatives. Furthermore the Weyl group admits a natural ordering in terms of L(T), the number of reflections with respect to the simple roots and the direction of time flows is always towards increasing L(T), which plays the unexpected role of an entropy.

[ { "created": "Thu, 4 Oct 2007 17:49:24 GMT", "version": "v1" } ]

2008-07-09

[ [ "Fré", "Pietro", "" ], [ "Sorin", "Alexander S.", "" ] ]

In this paper we show that all supergravity billiards corresponding to sigma-models on any U/H non compact-symmetric space and obtained by compactifying supergravity to D=3 are fully integrable. The key point in establishing the integration algorithm is provided by an upper triangular embedding of the solvable Lie algebra associated with U/H into SL(N,R) which always exists. In this context we establish a remarkable relation between the arrow of time and the properties of the Weyl group. The asymptotic states of the developing Universe are in one-to-one correspondence with the elements of the Weyl group which is a property of the Tits Satake universality classes and not of their single representatives. Furthermore the Weyl group admits a natural ordering in terms of L(T), the number of reflections with respect to the simple roots and the direction of time flows is always towards increasing L(T), which plays the unexpected role of an entropy.

15.321794

16.160904

17.608625

15.211255

15.914794

15.019411

14.33097

14.783663

14.468612

19.274433

14.166694

14.384271

14.801167

14.028736

14.734786

14.374548

14.335177

13.786112

14.39782

14.996197

13.966686

hep-th/0005172

Chris Pope

P. Hoxha, R.R. Martinez-Acosta and C.N. Pope

Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces

Latex, 43 pages, references added and typos corrected

Class.Quant.Grav.17:4207-4240,2000

10.1088/0264-9381/17/20/305

null

hep-th

null

We make a detailed investigation of all spaces Q_{n_1... n_N}^{q_1... q_N} of the form of U(1) bundles over arbitrary products \prod_i CP^{n_i} of complex projective spaces, with arbitrary winding numbers q_i over each factor in the base. Special cases, including Q_{11}^{11} (sometimes known as T^{11}), Q_{111}^{111} and Q_{21}^{32}, are relevant for compactifications of type IIB and D=11 supergravity. Remarkable ``conspiracies'' allow consistent Kaluza-Klein S^5, S^4 and S^7 sphere reductions of these theories that retain all the Yang-Mills fields of the isometry group in a massless truncation. We prove that such conspiracies do not occur for the reductions on the Q_{n_1... n_N}^{q_1... q_N} spaces, and that it is inconsistent to make a massless truncation in which the non-abelian SU(n_i+1) factors in their isometry groups are retained. In the course of proving this we derive many properties of the spaces Q_{n_1... n_N}^{q_1... q_N} of more general utility. In particular, we show that they always admit Einstein metrics, and that the spaces where q_i=(n_i+1)/\ell all admit two Killing spinors. We also obtain an iterative construction for real metrics on CP^n, and construct the Killing vectors on Q_{n_1... n_N}^{q_1... q_N} in terms of scalar eigenfunctions on CP^{n_i}. We derive bounds that allow us to prove that certain Killing-vector identities on spheres, necessary for consistent Kaluza-Klein reductions, are never satisfied on Q_{n_1... n_N}^{q_1... q_N}.

[ { "created": "Thu, 18 May 2000 21:28:11 GMT", "version": "v1" }, { "created": "Fri, 26 May 2000 12:46:34 GMT", "version": "v2" } ]

2009-10-07

[ [ "Hoxha", "P.", "" ], [ "Martinez-Acosta", "R. R.", "" ], [ "Pope", "C. N.", "" ] ]

We make a detailed investigation of all spaces Q_{n_1... n_N}^{q_1... q_N} of the form of U(1) bundles over arbitrary products \prod_i CP^{n_i} of complex projective spaces, with arbitrary winding numbers q_i over each factor in the base. Special cases, including Q_{11}^{11} (sometimes known as T^{11}), Q_{111}^{111} and Q_{21}^{32}, are relevant for compactifications of type IIB and D=11 supergravity. Remarkable ``conspiracies'' allow consistent Kaluza-Klein S^5, S^4 and S^7 sphere reductions of these theories that retain all the Yang-Mills fields of the isometry group in a massless truncation. We prove that such conspiracies do not occur for the reductions on the Q_{n_1... n_N}^{q_1... q_N} spaces, and that it is inconsistent to make a massless truncation in which the non-abelian SU(n_i+1) factors in their isometry groups are retained. In the course of proving this we derive many properties of the spaces Q_{n_1... n_N}^{q_1... q_N} of more general utility. In particular, we show that they always admit Einstein metrics, and that the spaces where q_i=(n_i+1)/\ell all admit two Killing spinors. We also obtain an iterative construction for real metrics on CP^n, and construct the Killing vectors on Q_{n_1... n_N}^{q_1... q_N} in terms of scalar eigenfunctions on CP^{n_i}. We derive bounds that allow us to prove that certain Killing-vector identities on spheres, necessary for consistent Kaluza-Klein reductions, are never satisfied on Q_{n_1... n_N}^{q_1... q_N}.

7.333508

7.017627

7.743712

6.704161

6.963264

7.490238

7.057224

7.009089

6.808699

8.513614

6.465158

6.683477

6.65837

6.713242

6.7572

6.739987

6.799847

6.618663

6.665833

6.900148

6.758096

hep-th/0101164

Kazuya Koyama

Kazuya Koyama and Jiro Soda

Strongly Coupled CFT in FRW Universe from AdS/CFT Correspondence

23 pages, no figure, version to appear in JHEP

JHEP 0105:027,2001

10.1088/1126-6708/2001/05/027

null

hep-th astro-ph gr-qc

null

We develop a formalism to calculate the effective action of the strongly coupled conformal field theory (CFT) in curved spacetime. The effective action of the CFT is obtained from AdS/CFT correspondence. The anti de-Sitter (AdS) spacetime has various slicing which give various curved spacetime on its boundary. We show the de Sitter spacetime and the Friedmann-Robertson-Walker (FRW) universe can be embedded in the AdS spacetime and derive the scalar two-point function of the conformal fields in those spacetime. In curved spacetime, the two-point function depends on the vacuum state of the CFT. A method to specify the vacuum state in AdS/CFT calculations is shown. Because the classical action in AdS spacetime diverges near the boundary, we need the counter terms to regulate the result. The simple derivation of the counter terms using the Hamilton-Jacobi equation is also presented in the appendix.

[ { "created": "Thu, 25 Jan 2001 10:06:12 GMT", "version": "v1" }, { "created": "Mon, 28 May 2001 07:11:57 GMT", "version": "v2" } ]

2010-02-03

[ [ "Koyama", "Kazuya", "" ], [ "Soda", "Jiro", "" ] ]

We develop a formalism to calculate the effective action of the strongly coupled conformal field theory (CFT) in curved spacetime. The effective action of the CFT is obtained from AdS/CFT correspondence. The anti de-Sitter (AdS) spacetime has various slicing which give various curved spacetime on its boundary. We show the de Sitter spacetime and the Friedmann-Robertson-Walker (FRW) universe can be embedded in the AdS spacetime and derive the scalar two-point function of the conformal fields in those spacetime. In curved spacetime, the two-point function depends on the vacuum state of the CFT. A method to specify the vacuum state in AdS/CFT calculations is shown. Because the classical action in AdS spacetime diverges near the boundary, we need the counter terms to regulate the result. The simple derivation of the counter terms using the Hamilton-Jacobi equation is also presented in the appendix.

6.10558

5.802224

6.10823

5.834566

6.121559

6.064898

6.087533

5.961187

5.891076

6.440747

6.002493

5.957983

5.936072

5.895776

6.018261

5.760941

5.89234

5.871764

5.975585

6.055035

5.822831

hep-th/9908068

Vassili Ivanov

A.T. Filippov, V.G. Ivanov

Global Properties of Exact Solutions in Integrable Dilaton-Gravity Models

5 pages, LaTeX, Conf. Report, Dubna, July 13-17, 1998

XI Intl. Conf., Problems of QFT, JINR, Dubna, July 13-17, 1998, (publ. Dubna 1999, edited by B.M. Barbashov, G.V. Efimov, A.V. Efremov)

null

hep-th gr-qc

null

Global canonical transformations to free chiral fields are constructed for DG models minimally coupled to scalar fields. The boundary terms for such canonical transformations are shown to vanish in asymptotically static coordinates if there is no scalar field.

[ { "created": "Mon, 9 Aug 1999 14:00:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Filippov", "A. T.", "" ], [ "Ivanov", "V. G.", "" ] ]

Global canonical transformations to free chiral fields are constructed for DG models minimally coupled to scalar fields. The boundary terms for such canonical transformations are shown to vanish in asymptotically static coordinates if there is no scalar field.

32.178154

33.776192

28.497908

30.519468

32.39555

36.021408

35.155651

30.118423

29.264933

33.672916

32.083248

27.021317

23.158192

26.678831

27.435858

26.110903

25.913773

24.180468

25.88232

24.352711

28.253466

hep-th/0607120

John March-Russell

A. Hebecker, J. March-Russell

The Ubiquitous Throat

References added, typos fixed. LaTex, 17 pages, 1 figure

Nucl.Phys.B781:99-111,2007

10.1016/j.nuclphysb.2007.05.003

HD-THEP-06-12, OUTP-DR-06 01P

hep-th hep-ph

null

We attempt to quantify the widely-held belief that large hierarchies induced by strongly-warped geometries are common in the string theory landscape. To this end, we focus on the arguably best-understood subset of vacua -- type IIB Calabi-Yau orientifolds with non-perturbative Kaehler stabilization and a SUSY-breaking uplift (the KKLT setup). Within this framework, vacua with a realistically small cosmological constant are expected to come from Calabi-Yaus with a large number of 3-cycles. For appropriate choices of flux numbers, many of these 3-cycles can, in general, shrink to produce near-conifold geometries. Thus, a simple statistical analysis in the spirit of Denef and Douglas allows us to estimate the expected number and length of Klebanov-Strassler throats in the given set of vacua. We find that throats capable of explaining the electroweak hierarchy are expected to be present in a large fraction of the landscape vacua while shorter throats are essentially unavoidable in a statistical sense.

[ { "created": "Tue, 18 Jul 2006 16:13:50 GMT", "version": "v1" }, { "created": "Tue, 15 Aug 2006 13:01:24 GMT", "version": "v2" }, { "created": "Fri, 25 Aug 2006 13:00:16 GMT", "version": "v3" } ]

2008-11-26

[ [ "Hebecker", "A.", "" ], [ "March-Russell", "J.", "" ] ]

We attempt to quantify the widely-held belief that large hierarchies induced by strongly-warped geometries are common in the string theory landscape. To this end, we focus on the arguably best-understood subset of vacua -- type IIB Calabi-Yau orientifolds with non-perturbative Kaehler stabilization and a SUSY-breaking uplift (the KKLT setup). Within this framework, vacua with a realistically small cosmological constant are expected to come from Calabi-Yaus with a large number of 3-cycles. For appropriate choices of flux numbers, many of these 3-cycles can, in general, shrink to produce near-conifold geometries. Thus, a simple statistical analysis in the spirit of Denef and Douglas allows us to estimate the expected number and length of Klebanov-Strassler throats in the given set of vacua. We find that throats capable of explaining the electroweak hierarchy are expected to be present in a large fraction of the landscape vacua while shorter throats are essentially unavoidable in a statistical sense.

8.949976

9.165232

9.452774

8.534316

9.637106

10.053411

9.489594

9.275544

8.954255

11.007383

8.958277

8.454055

8.592004

8.370884

8.550261

8.592972

8.321738

8.693259

8.38369

8.461124

8.790536

hep-th/9712247

Stefano Bellucci

S. Bellucci and A. Galajinsky

On the complex structure in the Gupta-Bleuler quantization method

12 pages, LaTeX

Phys.Lett. B423 (1998) 274-280

10.1016/S0370-2693(98)00168-3

null

hep-th

null

We examine the general conditions for the existence of the complex structure intrinsic in the Gupta-Bleuler quantization method for the specific case of mixed first and second class fermionic constraints in an arbitrary space-time dimension. The cases d=3 and 10 are shown to be of prime importance. The explicit solution for d=10 is presented.

[ { "created": "Mon, 29 Dec 1997 13:47:19 GMT", "version": "v1" } ]

2009-10-30

[ [ "Bellucci", "S.", "" ], [ "Galajinsky", "A.", "" ] ]

We examine the general conditions for the existence of the complex structure intrinsic in the Gupta-Bleuler quantization method for the specific case of mixed first and second class fermionic constraints in an arbitrary space-time dimension. The cases d=3 and 10 are shown to be of prime importance. The explicit solution for d=10 is presented.

14.515505

15.532853

13.312262

12.421597

12.995918

12.16541

13.16448

12.650743

12.277621

13.83848

13.850492

13.655699

13.677735

13.319017

13.413761

13.131963

13.59015

13.172103

13.410565

13.745914

12.8922

1704.05856

Shahar Hod

Onset of superradiant instabilities in rotating spacetimes of exotic compact objects

9 pages

Journal of High Energy Physics 06, 132 (2017)

10.1007/JHEP06(2017)132

null

hep-th astro-ph.HE gr-qc

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

Exotic compact objects, horizonless spacetimes with reflective properties, have intriguingly been suggested by some quantum-gravity models as alternatives to classical black-hole spacetimes. A remarkable feature of spinning horizonless compact objects with reflective boundary conditions is the existence of a {\it discrete} set of critical surface radii, $\{r_{\text{c}}({\bar a};n)\}^{n=\infty}_{n=1}$, which can support spatially regular static ({\it marginally-stable}) scalar field configurations (here ${\bar a}\equiv J/M^2$ is the dimensionless angular momentum of the exotic compact object). Interestingly, the outermost critical radius $r^{\text{max}}_{\text{c}}\equiv \text{max}_n\{r_{\text{c}}({\bar a};n)\}$ marks the boundary between stable and unstable exotic compact objects: spinning objects whose reflecting surfaces are situated in the region $r_{\text{c}}>r^{\text{max}}_{\text{c}}({\bar a})$ are stable, whereas spinning objects whose reflecting surfaces are situated in the region $r_{\text{c}}<r^{\text{max}}_{\text{c}}({\bar a})$ are superradiantly unstable to scalar perturbation modes. In the present paper we use analytical techniques in order to explore the physical properties of the critical (marginally-stable) spinning exotic compact objects. In particular, we derive a remarkably compact {\it analytical} formula for the discrete spectrum $\{r^{\text{max}}_{\text{c}}({\bar a})\}$ of critical radii which characterize the marginally-stable exotic compact objects. We explicitly demonstrate that the analytically derived resonance spectrum agrees remarkably well with numerical results that recently appeared in the physics literature.

[ { "created": "Wed, 19 Apr 2017 18:00:07 GMT", "version": "v1" } ]

2017-08-02

[ [ "Hod", "Shahar", "" ] ]

Exotic compact objects, horizonless spacetimes with reflective properties, have intriguingly been suggested by some quantum-gravity models as alternatives to classical black-hole spacetimes. A remarkable feature of spinning horizonless compact objects with reflective boundary conditions is the existence of a {\it discrete} set of critical surface radii, $\{r_{\text{c}}({\bar a};n)\}^{n=\infty}_{n=1}$, which can support spatially regular static ({\it marginally-stable}) scalar field configurations (here ${\bar a}\equiv J/M^2$ is the dimensionless angular momentum of the exotic compact object). Interestingly, the outermost critical radius $r^{\text{max}}_{\text{c}}\equiv \text{max}_n\{r_{\text{c}}({\bar a};n)\}$ marks the boundary between stable and unstable exotic compact objects: spinning objects whose reflecting surfaces are situated in the region $r_{\text{c}}>r^{\text{max}}_{\text{c}}({\bar a})$ are stable, whereas spinning objects whose reflecting surfaces are situated in the region $r_{\text{c}}<r^{\text{max}}_{\text{c}}({\bar a})$ are superradiantly unstable to scalar perturbation modes. In the present paper we use analytical techniques in order to explore the physical properties of the critical (marginally-stable) spinning exotic compact objects. In particular, we derive a remarkably compact {\it analytical} formula for the discrete spectrum $\{r^{\text{max}}_{\text{c}}({\bar a})\}$ of critical radii which characterize the marginally-stable exotic compact objects. We explicitly demonstrate that the analytically derived resonance spectrum agrees remarkably well with numerical results that recently appeared in the physics literature.

4.689045

4.989293

4.032159

3.953826

4.808896

4.672089

5.405778

3.71611

4.850254

4.185274

4.905849

4.679476

4.297103

4.312497

4.4902

4.678485

4.743311

4.220936

4.574972

4.368418

4.765848

hep-th/0606071

Lorenzo Salcedo L.

L.L. Salcedo

The method of covariant symbols in curved space-time

28 pages, no figures. References added. To appear in European Physical Journal C

Eur.Phys.J.C49:831-850,2007

10.1140/epjc/s10052-006-0133-2

null

hep-th gr-qc

null

Diagonal matrix elements of pseudodifferential operators are needed in order to compute effective Lagrangians and currents. For this purpose the method of symbols is often used, which however lacks manifest covariance. In this work the method of covariant symbols, introduced by Pletnev and Banin, is extended to curved space-time with arbitrary gauge and coordinate connections. For the Riemannian connection we compute the covariant symbols corresponding to external fields, the covariant derivative and the Laplacian, to fourth order in a covariant derivative expansion. This allows to obtain the covariant symbol of general operators to the same order. The procedure is illustrated by computing the diagonal matrix element of a nontrivial operator to second order. Applications of the method are discussed.

[ { "created": "Thu, 8 Jun 2006 10:38:50 GMT", "version": "v1" }, { "created": "Mon, 11 Sep 2006 09:45:30 GMT", "version": "v2" } ]

2008-11-26

[ [ "Salcedo", "L. L.", "" ] ]

Diagonal matrix elements of pseudodifferential operators are needed in order to compute effective Lagrangians and currents. For this purpose the method of symbols is often used, which however lacks manifest covariance. In this work the method of covariant symbols, introduced by Pletnev and Banin, is extended to curved space-time with arbitrary gauge and coordinate connections. For the Riemannian connection we compute the covariant symbols corresponding to external fields, the covariant derivative and the Laplacian, to fourth order in a covariant derivative expansion. This allows to obtain the covariant symbol of general operators to the same order. The procedure is illustrated by computing the diagonal matrix element of a nontrivial operator to second order. Applications of the method are discussed.

7.206159

7.920886

9.249898

7.969985

9.00161

8.865956

8.25776

8.422503

7.7877

9.253588

7.541945

7.131796

7.674789

7.292598

7.069766

6.644126

6.713706

7.045546

7.271424

7.475186

7.096305

2311.17015

Subham Dutta Chowdhury

Subham Dutta Chowdhury, Vipul Kumar, Suman Kundu, Asikur Rahaman

Regge constraints on local four-point scattering amplitudes of massive particles with spin

References added, Scales in dRGT gravity analysis corrected

null

hep-th gr-qc

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

In this work, we classify all the possible local four-point couplings relevant for tree-level flat space $2 \rightarrow 2$ scattering of external massive particles of spin one and spin two which do not grow faster than $s^2$ at large $s$ and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for $D\geq 8$ but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in $D=4$. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large $N$ conformal field theories (CFTs), can also be interpreted as bulk $AdS$ counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large $N$ CFTs.

[ { "created": "Tue, 28 Nov 2023 18:09:31 GMT", "version": "v1" }, { "created": "Tue, 26 Dec 2023 18:56:38 GMT", "version": "v2" } ]

2023-12-27

[ [ "Chowdhury", "Subham Dutta", "" ], [ "Kumar", "Vipul", "" ], [ "Kundu", "Suman", "" ], [ "Rahaman", "Asikur", "" ] ]

In this work, we classify all the possible local four-point couplings relevant for tree-level flat space $2 \rightarrow 2$ scattering of external massive particles of spin one and spin two which do not grow faster than $s^2$ at large $s$ and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for $D\geq 8$ but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in $D=4$. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large $N$ conformal field theories (CFTs), can also be interpreted as bulk $AdS$ counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large $N$ CFTs.

11.383418

11.666588

12.185585

10.684298

11.649679

10.961616

11.488945

10.834293

10.505483

13.093025

10.387821

10.675062

11.317825

10.725276

10.90888

10.624207

11.023396

10.498028

10.723831

11.430425

10.540629

hep-th/0206243

Neil Constable

Neil R. Constable and Neil D. Lambert

Calibrations, Monopoles and Fuzzy Funnels

19 pages. Latex. v2: added references and acknowledgment

Phys.Rev. D66 (2002) 065016

10.1103/PhysRevD.66.065016

null

hep-th

null

We present new non-Abelian solitonic configurations in the low energy effective theory describing a collection of N parallel D1--branes. These configurations preserve 1/4, 1/8, 1/16 and 1/32 of the spacetime supersymmetry. They are solutions to a set of generalised Nahm's equations which are related to self-duality equations in eight dimensions. Our solutions represent D1--branes which expand into fuzzy funnel configurations ending on collections of intersecting D3--branes. Supersymmetry dictates that such intersecting D3--branes must lie on a calibrated three-surface of spacetime and we argue that the generalised Nahm's equations encode the data for the construction of magnetic monopoles on the relevant three-surfaces.

[ { "created": "Thu, 27 Jun 2002 19:34:27 GMT", "version": "v1" }, { "created": "Tue, 9 Jul 2002 14:48:48 GMT", "version": "v2" } ]

2009-11-07

[ [ "Constable", "Neil R.", "" ], [ "Lambert", "Neil D.", "" ] ]

We present new non-Abelian solitonic configurations in the low energy effective theory describing a collection of N parallel D1--branes. These configurations preserve 1/4, 1/8, 1/16 and 1/32 of the spacetime supersymmetry. They are solutions to a set of generalised Nahm's equations which are related to self-duality equations in eight dimensions. Our solutions represent D1--branes which expand into fuzzy funnel configurations ending on collections of intersecting D3--branes. Supersymmetry dictates that such intersecting D3--branes must lie on a calibrated three-surface of spacetime and we argue that the generalised Nahm's equations encode the data for the construction of magnetic monopoles on the relevant three-surfaces.

7.268816

6.305589

8.556846

6.195758

6.551478

6.237038

6.315984

6.653345

6.057387

9.837675

6.24338

6.612576

7.579792

6.897525

6.81547

6.717893

6.612442

6.844188

6.787656

7.363993

6.78838

hep-th/0604179

Meng Chwan Tan

Meng-Chwan Tan

Two-Dimensional Twisted Sigma Models And The Theory of Chiral Differential Operators

93 pages, no figures. Published version. See also companion paper arXiv:0705.0790

Adv.Theor.Math.Phys.10:759-851,2006

null

hep-th math.AG math.QA

null

In this paper, we study the perturbative aspects of a twisted version of the two-dimensional $(0,2)$ heterotic sigma model on a holomorphic gauge bundle $\mathcal E$ over a complex, hermitian manifold $X$. We show that the model can be naturally described in terms of the mathematical theory of ``Chiral Differential Operators". In particular, the physical anomalies of the sigma model can be reinterpreted in terms of an obstruction to a global definition of the associated sheaf of vertex superalgebras derived from the free conformal field theory describing the model locally on $X$. One can also obtain a novel understanding of the sigma model one-loop beta function solely in terms of holomorphic data. At the $(2,2)$ locus, where the obstruction vanishes for $\it{any}$ smooth manifold $X$, we obtain a purely mathematical description of the half-twisted variant of the topological A-model and (if $c_1(X) =0$) its elliptic genus. By studying the half-twisted $(2,2)$ model on $X=\mathbb {CP}^1$, one can show that a subset of the infinite-dimensional space of physical operators generates an underlying super-affine Lie algebra. Furthermore, on a non-K\"ahler, parallelised, group manifold with torsion, we uncover a direct relationship between the modulus of the corresponding sheaves of chiral de Rham complex, and the level of the underlying WZW theory.

[ { "created": "Tue, 25 Apr 2006 16:23:40 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 2006 14:28:29 GMT", "version": "v2" }, { "created": "Mon, 23 Apr 2007 14:49:19 GMT", "version": "v3" } ]

2009-05-28

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

In this paper, we study the perturbative aspects of a twisted version of the two-dimensional $(0,2)$ heterotic sigma model on a holomorphic gauge bundle $\mathcal E$ over a complex, hermitian manifold $X$. We show that the model can be naturally described in terms of the mathematical theory of ``Chiral Differential Operators". In particular, the physical anomalies of the sigma model can be reinterpreted in terms of an obstruction to a global definition of the associated sheaf of vertex superalgebras derived from the free conformal field theory describing the model locally on $X$. One can also obtain a novel understanding of the sigma model one-loop beta function solely in terms of holomorphic data. At the $(2,2)$ locus, where the obstruction vanishes for $\it{any}$ smooth manifold $X$, we obtain a purely mathematical description of the half-twisted variant of the topological A-model and (if $c_1(X) =0$) its elliptic genus. By studying the half-twisted $(2,2)$ model on $X=\mathbb {CP}^1$, one can show that a subset of the infinite-dimensional space of physical operators generates an underlying super-affine Lie algebra. Furthermore, on a non-K\"ahler, parallelised, group manifold with torsion, we uncover a direct relationship between the modulus of the corresponding sheaves of chiral de Rham complex, and the level of the underlying WZW theory.

9.724555

8.810936

11.834563

8.542324

9.897243

10.104244

10.383078

9.065488

8.499275

12.229475

8.64432

9.230734

10.228205

9.307355

9.52327

9.571457

9.872866

9.533501

9.441609

10.235262

9.543939

hep-th/0401055

Filipe Freire

Mboyo Esole and Filipe Freire

On the renormalisability of gauge invariant extensions of the squared gauge potential

1+13 pages. Revised version. New title and abstract. Extended introduction and several sentences have been inserted. Final version to appear in Physics Letters B

Phys.Lett. B593 (2004) 287-295

10.1016/j.physletb.2004.04.046

null

hep-th

null

We show that gauge invariant extensions of the local functional $\cO = \frac12\int d^4x A^2$ have long range non localities which can only be ``renormalised'' with reference to a specific gauge. Consequently, there is no gauge independent way of claiming the perturbative renormalisability of these extensions. In particular, they are not renormalisable in the modern sense of Weinberg and Gomis. Critically, our study does not support the view that ghost fields play an indispensable role in the extension of a local operator into a non-local one as claimed recently in the literature.

[ { "created": "Fri, 9 Jan 2004 14:17:36 GMT", "version": "v1" }, { "created": "Tue, 20 Apr 2004 11:56:23 GMT", "version": "v2" } ]

2009-11-10

[ [ "Esole", "Mboyo", "" ], [ "Freire", "Filipe", "" ] ]

We show that gauge invariant extensions of the local functional $\cO = \frac12\int d^4x A^2$ have long range non localities which can only be ``renormalised'' with reference to a specific gauge. Consequently, there is no gauge independent way of claiming the perturbative renormalisability of these extensions. In particular, they are not renormalisable in the modern sense of Weinberg and Gomis. Critically, our study does not support the view that ghost fields play an indispensable role in the extension of a local operator into a non-local one as claimed recently in the literature.

12.176271

12.895041

12.34663

11.624032

12.046599

13.575586

11.492064

12.164207

11.633867

14.133511

11.52865

11.045286

11.803247

11.280423

11.670115

11.413277

11.107459

11.854661

11.509796

11.819538

11.285107

hep-th/0112224

Masato Ito

Masato Ito (Nagoya Univ.)

Newton's law in braneworlds with an infinite extra dimension

null

Phys.Lett. B528 (2002) 269-273

10.1016/S0370-2693(02)01228-5

DPNU-01-33

hep-th

null

We study the behavior of the four$-$dimensional Newton's law in warped braneworlds. The setup considered here is a $(3+n)$-brane embedded in $(5+n)$ dimensions, where $n$ extra dimensions are compactified and a dimension is infinite. We show that the wave function of gravity is described in terms of the Bessel functions of $(2+n/2)$-order and that estimate the correction to Newton's law. In particular, the Newton's law for $n=1$ can be exactly obtained.

[ { "created": "Sun, 23 Dec 2001 23:07:55 GMT", "version": "v1" }, { "created": "Sun, 20 Jan 2002 23:50:59 GMT", "version": "v2" }, { "created": "Mon, 1 Apr 2002 05:10:40 GMT", "version": "v3" } ]

2009-11-07

[ [ "Ito", "Masato", "", "Nagoya Univ." ] ]

We study the behavior of the four$-$dimensional Newton's law in warped braneworlds. The setup considered here is a $(3+n)$-brane embedded in $(5+n)$ dimensions, where $n$ extra dimensions are compactified and a dimension is infinite. We show that the wave function of gravity is described in terms of the Bessel functions of $(2+n/2)$-order and that estimate the correction to Newton's law. In particular, the Newton's law for $n=1$ can be exactly obtained.

9.388037

7.268945

8.694343

8.140143

8.029115

8.230241

8.561818

7.989757

8.209986

9.492228

7.844151

7.870196

8.289721

7.956086

8.079121

8.109333

7.822498

8.388746

7.680161

7.752596

7.969655

1103.1163

Andrea Prinsloo

Jeff Murugan and Andrea Prinsloo

ABJM Dibaryon Spectroscopy

26 pages

null

10.1007/JHEP05(2011)129

null

hep-th

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

We extend the proposal for a detailed map between wrapped D-branes in Anti-de Sitter space and baryon-like operators in the associated dual conformal field theory provided in hep-th/0202150 to the recently formulated AdS_4 \times CP^3/ABJM correspondence. In this example, the role of the dibaryon operator of the 3-dimensional CFT is played by a D4-brane wrapping a CP^2 \subset CP^3. This topologically stable D-brane in the AdS_4 \times CP^3 is nothing but one-half of the maximal giant graviton on CP^3.

[ { "created": "Sun, 6 Mar 2011 21:00:07 GMT", "version": "v1" }, { "created": "Tue, 29 Mar 2011 10:18:08 GMT", "version": "v2" } ]

2015-05-27

[ [ "Murugan", "Jeff", "" ], [ "Prinsloo", "Andrea", "" ] ]

We extend the proposal for a detailed map between wrapped D-branes in Anti-de Sitter space and baryon-like operators in the associated dual conformal field theory provided in hep-th/0202150 to the recently formulated AdS_4 \times CP^3/ABJM correspondence. In this example, the role of the dibaryon operator of the 3-dimensional CFT is played by a D4-brane wrapping a CP^2 \subset CP^3. This topologically stable D-brane in the AdS_4 \times CP^3 is nothing but one-half of the maximal giant graviton on CP^3.

9.78932

8.201073

11.132549

8.766744

8.54396

7.719699

8.017732

8.026337

8.374577

11.641953

7.488249

8.25318

9.327605

8.27411

8.348948

8.689933

8.250338

8.231209

8.343894

9.189769

7.94753

hep-th/9604150

null

Kayoko Maeda and Makoto Sakamoto ( Kobe univ. )

Strong Coupling Quantum Gravity and Physics beyond the Planck Scale

27 pages, LaTeX file. To be published in Phys. Rev. D

Phys.Rev.D54:1500-1513,1996

10.1103/PhysRevD.54.1500

KOBE-TH-96-01

hep-th

null

We propose a renormalization prescription for the Wheeler-DeWitt equation of (3+1)-dimensional Einstein gravity and also propose a strong coupling expansion as an approximation scheme to probe quantum geometry at length scales much smaller than the Planck length. We solve the Wheeler-DeWitt equation to the second order in the expansion in a class of local solutions and discuss problems arising in our approach.

[ { "created": "Wed, 24 Apr 1996 01:39:28 GMT", "version": "v1" } ]

2011-09-09

[ [ "Maeda", "Kayoko", "", "Kobe univ." ], [ "Sakamoto", "Makoto", "", "Kobe univ." ] ]

We propose a renormalization prescription for the Wheeler-DeWitt equation of (3+1)-dimensional Einstein gravity and also propose a strong coupling expansion as an approximation scheme to probe quantum geometry at length scales much smaller than the Planck length. We solve the Wheeler-DeWitt equation to the second order in the expansion in a class of local solutions and discuss problems arising in our approach.

9.461287

8.049759

8.474451

8.355172

8.722826

8.560473

9.153773

7.850936

8.173571

9.137559

8.251497

8.520296

8.652047

8.431183

8.418565

8.588841

8.513105

8.18923

8.687082

8.716327

8.270267

0905.4116

Esmaeil Ebrahimi

E. Ebrahimi, N. Riazi

Expanding $(n+1)$-Dimensional Wormhole Solutions in Brans-Dicke Cosmology

15 pages, 16 figures, The version to appear in Phys. Rev. D

Phys.Rev.D81:024036,2010

10.1103/PhysRevD.81.024036

null

hep-th

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

We have obtained two classes of $(n+1)$-dimensional wormhole solutions using a traceless energy-momentum tensor in Brans-Dicke theory of gravity. The first class contains wormhole solutions in an open geometry while the second contains wormhole solutions in both open and closed universes. In addition to wormhole geometries, naked singularities and maximally symmetric spacetime also appear among the solutions as special cases. We have also considered the travesibility of the wormhole solutions and have shown that they are indeed traverseable. Finally, we have discussed the energy-momentum tensor which supports this geometry and have checked for the energy conditions. We have found that wormhole solutions in the first class of solutions violate weak energy condition (WEC). In the second class, the wormhole geometries in a closed universe do violate WEC, but in an open universe with suitable choice of constants the supporting matter energy-momentum tensor can satisfy WEC. However, even in this case the full effective energy-momentum tensor including the scalar field and the matter energy-momentum tensor still violates the WEC.

[ { "created": "Tue, 26 May 2009 05:16:08 GMT", "version": "v1" }, { "created": "Tue, 29 Dec 2009 12:14:03 GMT", "version": "v2" } ]

2010-04-06

[ [ "Ebrahimi", "E.", "" ], [ "Riazi", "N.", "" ] ]

We have obtained two classes of $(n+1)$-dimensional wormhole solutions using a traceless energy-momentum tensor in Brans-Dicke theory of gravity. The first class contains wormhole solutions in an open geometry while the second contains wormhole solutions in both open and closed universes. In addition to wormhole geometries, naked singularities and maximally symmetric spacetime also appear among the solutions as special cases. We have also considered the travesibility of the wormhole solutions and have shown that they are indeed traverseable. Finally, we have discussed the energy-momentum tensor which supports this geometry and have checked for the energy conditions. We have found that wormhole solutions in the first class of solutions violate weak energy condition (WEC). In the second class, the wormhole geometries in a closed universe do violate WEC, but in an open universe with suitable choice of constants the supporting matter energy-momentum tensor can satisfy WEC. However, even in this case the full effective energy-momentum tensor including the scalar field and the matter energy-momentum tensor still violates the WEC.

6.390322

6.677859

6.26443

6.066778

6.477408

6.571028

6.766148

5.831078

6.428169

6.041647

6.052454

6.045786

5.907022

5.803733

6.008445

5.867785

5.947531

5.894348

5.963543

5.909838

5.929839

2303.14921

James T. Wheeler

Sources of torsion in Poincare gauge theory

28 pp. Introductory Sections condensed; 2 and 3 dimensional examples added

Eur. Phys. J. C 83, 665 (2023)

10.1140/epjc/s10052-023-11812-4

null

hep-th gr-qc

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

We study sources for torsion in Poincare gauge theory of any dimension, signature, and spin. We find that symmetric kinetic terms for non-Yang-Mills bosonic fields of arbitrary rank drive torsion. Our detailed discussion of spin-3/2 Rarita-Schwinger fields shows that they source all independent parts of the torsion. We develop systematic notation for spin-(2k+1)/2 fields and find the spin tensor for arbitrary k in n > 2k dimensions. For k > 0 there is a novel direct coupling between torsion and spinor fields. We also cast the well-known gauge relation between the canonical and Belinfante-Rosenfield energy tensors in terms of different choices of independent variables.

[ { "created": "Mon, 27 Mar 2023 05:35:17 GMT", "version": "v1" }, { "created": "Wed, 28 Jun 2023 21:33:51 GMT", "version": "v2" } ]

2024-01-01

[ [ "Wheeler", "James T.", "" ] ]

We study sources for torsion in Poincare gauge theory of any dimension, signature, and spin. We find that symmetric kinetic terms for non-Yang-Mills bosonic fields of arbitrary rank drive torsion. Our detailed discussion of spin-3/2 Rarita-Schwinger fields shows that they source all independent parts of the torsion. We develop systematic notation for spin-(2k+1)/2 fields and find the spin tensor for arbitrary k in n > 2k dimensions. For k > 0 there is a novel direct coupling between torsion and spinor fields. We also cast the well-known gauge relation between the canonical and Belinfante-Rosenfield energy tensors in terms of different choices of independent variables.

16.507431

17.368988

17.171621

14.904672

17.672707

17.892126

18.7754

16.636587

15.754324

19.643393

16.215797

15.378197

15.842627

15.530005

15.260505

14.999451

15.300222

15.305805

15.295182

16.260033

15.160155

hep-th/9310026

Gregory Moore

Symmetries of the Bosonic String S-Matrix

37pp.,YCTP-P19-93. (Important revision: An error has been fixed and the conclusions altered. The analysis only applies in a straightforward way to $N$-particle scattering for $N\leq 26$.)

null

hep-th

null

The bracket operation on mutually local BRST classes may be combined with Lorentz invariance and analyticity to write an infinite set of finite difference relations on string scattering amplitudes. When combined with some simple physical criteria these relations uniquely determine the genus zero string $S$-matrix for $N\leq 26$-particle scattering in $\IR^{25,1}$ in terms of a single parameter, $\kappa$, the string coupling. We propose that the high-energy limit of the relations are the Ward identities for the high-energy symmetries of string theory.

[ { "created": "Thu, 7 Oct 1993 02:45:38 GMT", "version": "v1" }, { "created": "Sun, 10 Oct 1993 21:54:39 GMT", "version": "v2" } ]

2008-02-03

[ [ "Moore", "Gregory", "" ] ]

The bracket operation on mutually local BRST classes may be combined with Lorentz invariance and analyticity to write an infinite set of finite difference relations on string scattering amplitudes. When combined with some simple physical criteria these relations uniquely determine the genus zero string $S$-matrix for $N\leq 26$-particle scattering in $\IR^{25,1}$ in terms of a single parameter, $\kappa$, the string coupling. We propose that the high-energy limit of the relations are the Ward identities for the high-energy symmetries of string theory.

13.976883

11.476993

14.678173

11.605661

12.386877

11.864835

12.034554

11.185468

11.426005

15.613941

12.077583

12.564276

13.272805

12.461374

12.303675

12.679301

12.061432

12.175424

11.875138

13.650399

11.611119

hep-th/0608152

Mark G. Jackson

Cosmic Superstring Scattering in Backgrounds

12 pages, 2 figures; v2: references added

JHEP 0609:071,2006

10.1088/1126-6708/2006/09/071

FERMILAB-PUB-06-288-A

hep-th astro-ph hep-ph

null

We generalize the calculation of cosmic superstring reconnection probability to non-trivial backgrounds. This is done by modeling cosmic strings as wound tachyon modes in the 0B theory, and the spacetime effective action is then used to couple this to background fields. Simple examples are given including trivial and warped compactifications. Generalization to $(p,q)$ strings is discussed.

[ { "created": "Tue, 22 Aug 2006 06:39:38 GMT", "version": "v1" }, { "created": "Wed, 27 Sep 2006 12:56:29 GMT", "version": "v2" } ]

2014-11-18

[ [ "Jackson", "Mark G.", "" ] ]

We generalize the calculation of cosmic superstring reconnection probability to non-trivial backgrounds. This is done by modeling cosmic strings as wound tachyon modes in the 0B theory, and the spacetime effective action is then used to couple this to background fields. Simple examples are given including trivial and warped compactifications. Generalization to $(p,q)$ strings is discussed.

22.370714

18.528257

23.518053

16.648932

20.686039

19.126974

15.058125

16.827694

16.772867

27.368681

17.816669

17.694761

20.893902

17.947344

18.426521

18.242395

17.190784

18.580975

17.870079

20.140957

18.413223

2210.02966

Kirsty Gledhill

Kirsty Gledhill and Amihay Hanany

Poisson Brackets for some Coulomb Branches

null

10.1007/JHEP03(2023)154

null

hep-th

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

We construct Poisson bracket relations between the operators which generate the chiral ring of the Coulomb branch of certain $3d$ $\mathcal{N}=4$ quiver gauge theories. In the case where the Coulomb branch is a free space, $ADE$ Klein singularity, or the minimal $A_2$ nilpotent orbit, we explicitly compute the Poisson brackets between the generators using either inherited properties of the abstract Coulomb branch variety, or the expected charges of these operators under the global symmetry (known through use of the monopole formula). We also conjecture Poisson brackets for Higgs branches that originate from $6d$ theories with tensionless strings or $5d$ theories with massless instantons for which the HWG is known, based on representation theoretic and operator content constraints known from the study of their magnetic quiver.

[ { "created": "Thu, 6 Oct 2022 14:59:09 GMT", "version": "v1" }, { "created": "Fri, 24 Mar 2023 12:46:58 GMT", "version": "v2" } ]

2023-04-05

[ [ "Gledhill", "Kirsty", "" ], [ "Hanany", "Amihay", "" ] ]

We construct Poisson bracket relations between the operators which generate the chiral ring of the Coulomb branch of certain $3d$ $\mathcal{N}=4$ quiver gauge theories. In the case where the Coulomb branch is a free space, $ADE$ Klein singularity, or the minimal $A_2$ nilpotent orbit, we explicitly compute the Poisson brackets between the generators using either inherited properties of the abstract Coulomb branch variety, or the expected charges of these operators under the global symmetry (known through use of the monopole formula). We also conjecture Poisson brackets for Higgs branches that originate from $6d$ theories with tensionless strings or $5d$ theories with massless instantons for which the HWG is known, based on representation theoretic and operator content constraints known from the study of their magnetic quiver.

14.662532

14.870532

15.477207

13.245622

13.673448

13.567021

14.535793

13.465815

13.369249

17.23876

13.121556

13.543283

14.966822

13.534781

13.538703

13.757357

13.454284

13.615245

13.298152

15.057148

13.583464

hep-th/0201122

Andrea Quadri

Algebraic Properties of BRST Coupled Doublets

Some explanations enlarged, references added

JHEP 0205 (2002) 051

10.1088/1126-6708/2002/05/051

IFUM 693/FT

hep-th

null

We characterize the dependence on doublets of the cohomology of an arbitrary nilpotent differential s (including BRST differentials and classical linearized Slavnov-Taylor (ST) operators) in terms of the cohomology of the doublets-independent component of s. All cohomologies are computed in the space of local integrated formal power series. We drop the usual assumption that the counting operator for the doublets commutes with s (decoupled doublets) and discuss the general case where the counting operator does not commute with s (coupled doublets). The results are purely algebraic and do not rely on power-counting arguments.

[ { "created": "Wed, 16 Jan 2002 16:32:06 GMT", "version": "v1" }, { "created": "Thu, 23 May 2002 08:23:19 GMT", "version": "v2" } ]

2009-11-07

[ [ "Quadri", "Andrea", "" ] ]

We characterize the dependence on doublets of the cohomology of an arbitrary nilpotent differential s (including BRST differentials and classical linearized Slavnov-Taylor (ST) operators) in terms of the cohomology of the doublets-independent component of s. All cohomologies are computed in the space of local integrated formal power series. We drop the usual assumption that the counting operator for the doublets commutes with s (decoupled doublets) and discuss the general case where the counting operator does not commute with s (coupled doublets). The results are purely algebraic and do not rely on power-counting arguments.

10.280313

8.636377

10.550493

9.248056

10.736296

9.178096

10.185385

9.090345

8.883955

11.0358

9.010766

9.656822

9.308558

8.764211

9.430925

9.435692

9.058619

9.136999

8.772406

9.467885

9.143864

1201.4697

Daniel Puigdomenech

Jorge Alfaro, Dom\`enec Espriu, Daniel Puigdom\`enech

Spontaneous generation of geometry in four dimensions

null

Phys. Rev. D 86, 025015 (2012)

10.1103/PhysRevD.86.025015

null

hep-th gr-qc

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

We present the extension to 4 dimensions of an euclidean 2-dimensional model that exhibits spontaneous generation of a metric. In this model gravitons emerge as Goldstone bosons of a global SO(D) X GL(D) symmetry broken down to SO(D). The microscopic theory can be formulated without having to appeal to any particular space-time metric and only assumes the pre-existence of a manifold endowed with an affine connection. We emphasize that not even a flat metric needs to be assumed; in this sense the microscopic theory is quasi-topological. The vierbein appears as a condensate of the fundamental fermions. In spite of having non-standard characteristics, the microscopic theory appears to be renormalizable. The effective long-distance theory is obtained perturbatively around a vacuum that, if the background affine connection is set to zero, is (euclidean) de Sitter space-time. If perturbatively small connections are introduced on this background, fluctuations of the metric (i.e. gravitons) appear; they are described by an effective theory at long distances whose more relevant operators correspond to the Einstein-Hilbert action with a cosmological constant. This effective action is derived in the large N limit, N being the number of fermion species in the fundamental theory. The counterterms required by the microscopic theory are directly related to the cosmological constant and Newton constant and their couplings could eventually be adjusted to the physical values of Mp and \Lambda.

[ { "created": "Mon, 23 Jan 2012 12:13:25 GMT", "version": "v1" } ]

2012-09-17

[ [ "Alfaro", "Jorge", "" ], [ "Espriu", "Domènec", "" ], [ "Puigdomènech", "Daniel", "" ] ]

We present the extension to 4 dimensions of an euclidean 2-dimensional model that exhibits spontaneous generation of a metric. In this model gravitons emerge as Goldstone bosons of a global SO(D) X GL(D) symmetry broken down to SO(D). The microscopic theory can be formulated without having to appeal to any particular space-time metric and only assumes the pre-existence of a manifold endowed with an affine connection. We emphasize that not even a flat metric needs to be assumed; in this sense the microscopic theory is quasi-topological. The vierbein appears as a condensate of the fundamental fermions. In spite of having non-standard characteristics, the microscopic theory appears to be renormalizable. The effective long-distance theory is obtained perturbatively around a vacuum that, if the background affine connection is set to zero, is (euclidean) de Sitter space-time. If perturbatively small connections are introduced on this background, fluctuations of the metric (i.e. gravitons) appear; they are described by an effective theory at long distances whose more relevant operators correspond to the Einstein-Hilbert action with a cosmological constant. This effective action is derived in the large N limit, N being the number of fermion species in the fundamental theory. The counterterms required by the microscopic theory are directly related to the cosmological constant and Newton constant and their couplings could eventually be adjusted to the physical values of Mp and \Lambda.

9.425421

10.320709

9.460402

9.505743

10.138009

9.859648

10.402493

9.786201

9.467982

10.544141

9.575347

9.356529

9.127829

9.218247

8.979277

9.173147

9.238648

9.368711

9.341835

9.176975

9.329401

1502.07909

Peter West

Nicolas Boulanger, Per Sundell and Peter West

Gauge fields and infinite chains of dualities

37 pages

null

hep-th

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

We show that the particle states of Maxwell's theory, in $D$ dimensions, can be represented in an infinite number of ways by using different gauge fields. Using this result we formulate the dynamics in terms of an infinite set of duality relations which are first order in space-time derivatives. We derive a similar result for the three form in eleven dimensions where such a possibility was first observed in the context of E11. We also give an action formulation for some of the gauge fields. In this paper we give a pedagogical account of the Lorentz and gauge covariant formulation of the irreducible representations of the Poincar\'e group, used previously in higher spin theories, as this plays a key role in our constructions. It is clear that our results can be generalised to any particle.

[ { "created": "Fri, 27 Feb 2015 14:26:19 GMT", "version": "v1" } ]

2015-03-02

[ [ "Boulanger", "Nicolas", "" ], [ "Sundell", "Per", "" ], [ "West", "Peter", "" ] ]

We show that the particle states of Maxwell's theory, in $D$ dimensions, can be represented in an infinite number of ways by using different gauge fields. Using this result we formulate the dynamics in terms of an infinite set of duality relations which are first order in space-time derivatives. We derive a similar result for the three form in eleven dimensions where such a possibility was first observed in the context of E11. We also give an action formulation for some of the gauge fields. In this paper we give a pedagogical account of the Lorentz and gauge covariant formulation of the irreducible representations of the Poincar\'e group, used previously in higher spin theories, as this plays a key role in our constructions. It is clear that our results can be generalised to any particle.

10.085979

9.435109

10.883457

9.402782

9.322573

9.208069

9.08335

9.445742

9.029715

10.505666

9.611334

9.475382

9.837021

9.280311

9.420314

9.349545

9.067928

9.481687

9.189274

9.809019

9.150286

1704.03395

Raoul Letschka

Cesar Gomez and Raoul Letschka

Memory and the Infrared

null

10.1007/JHEP10(2017)010

null

hep-th

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

Memory effects in scattering processes are described in terms of the asymptotic retarded fields. These fields are completely determined by the scattering data and the zero mode part is set by the soft photon theorem. The dressed asymptotic states defining an infrared finite S- matrix for charged particles can be defined as quantum coherent states using the corpuscular resolution of the asymptotic retarded fields. Im- posing that the net radiated energy in the scattering is zero leads to the new set of conservation laws for the scattering S-matrix which are equivalent to the decoupling of the soft modes. The actual observabil- ity of the memory requires a non vanishing radiated energy and could be described using the infrared part of the differential cross section that only depends on the scattering data and the radiated energy. This is the IR safe cross section with any number of emitted pho- tons carrying total energy equal to the energy involved in the actual memory detection.

[ { "created": "Tue, 11 Apr 2017 16:18:16 GMT", "version": "v1" }, { "created": "Sat, 9 Sep 2017 22:19:17 GMT", "version": "v2" }, { "created": "Sun, 17 Sep 2017 16:20:56 GMT", "version": "v3" } ]

2017-10-25

[ [ "Gomez", "Cesar", "" ], [ "Letschka", "Raoul", "" ] ]

Memory effects in scattering processes are described in terms of the asymptotic retarded fields. These fields are completely determined by the scattering data and the zero mode part is set by the soft photon theorem. The dressed asymptotic states defining an infrared finite S- matrix for charged particles can be defined as quantum coherent states using the corpuscular resolution of the asymptotic retarded fields. Im- posing that the net radiated energy in the scattering is zero leads to the new set of conservation laws for the scattering S-matrix which are equivalent to the decoupling of the soft modes. The actual observabil- ity of the memory requires a non vanishing radiated energy and could be described using the infrared part of the differential cross section that only depends on the scattering data and the radiated energy. This is the IR safe cross section with any number of emitted pho- tons carrying total energy equal to the energy involved in the actual memory detection.

19.165392

17.132919

18.080027

15.474112

19.929329

19.407732

19.446949

17.375647

16.544092

19.374575

16.041008

16.220171

16.43239

15.668252

16.206629

16.27359

16.711771

15.301192

15.554095

15.901075

16.732307

2302.02961

Burkhard Eden

Burkhard Eden, Dennis le Plat, Anne Spiering

Double excitations in the AdS(5)/CFT(4) integrable system and the Lagrange operator

LaTeX, 18 pp, 3 figures

null

HU-EP-23/05

hep-th

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

It is argued that the integrable model for the planar spectrum of the AdS/CFT correspondence can accommodate for the full spectrum of excitations $D^{\alpha \dot \alpha}, \phi^{[IJ]}, \psi^I, \bar \psi_I, F^{\alpha \beta}, \tilde F^{\dot \alpha \dot \beta}$ (with $I,J \in 1 \ldots 4$) if double excitations are allowed for all three raising operators of the internal $SU(4)$ symmetry. We present a tree-level analysis of related creation amplitudes in the nested Bethe ansatz as well as in the original level-1 picture in which excitations of various flavours scatter by a true $S$-matrix. In the latter case, the creation amplitudes for all double excitations we encounter take a perfectly universal form. Building on these ideas we work out Bethe solutions and states relevant in the mixing problem concerning the on-shell Lagrangian of ${\cal N} = 4$ super Yang-Mills theory. Owing to the very existence of double excitations, the chiral Yang-Mills field strength tensor can be represented by the four fermions $\{\psi^{31}, \psi^{32}, \psi^{41}, \psi^{42}\}$ moving on a spin chain of length two. Our analysis remains restricted to leading order in the coupling, where the conformal eigenstate corresponding to the on-shell Lagrangian only comprises the pure Yang-Mills action. It should eventually be possible to augment our analysis to higher loop orders by incorporating coupling corrections in the relevant ingredients from the Bethe ansatz. Finally, it was recently realised how structure constants for operators containing the hitherto hidden half of the excitations can be computed by the hexagon formalism. We use this for a first test of our conjecture for the on-shell Lagrangian, namely that its three-point function with two half-BPS operators of equal length ought to vanish.

[ { "created": "Mon, 6 Feb 2023 17:45:30 GMT", "version": "v1" } ]

2023-02-07

[ [ "Eden", "Burkhard", "" ], [ "Plat", "Dennis le", "" ], [ "Spiering", "Anne", "" ] ]

It is argued that the integrable model for the planar spectrum of the AdS/CFT correspondence can accommodate for the full spectrum of excitations $D^{\alpha \dot \alpha}, \phi^{[IJ]}, \psi^I, \bar \psi_I, F^{\alpha \beta}, \tilde F^{\dot \alpha \dot \beta}$ (with $I,J \in 1 \ldots 4$) if double excitations are allowed for all three raising operators of the internal $SU(4)$ symmetry. We present a tree-level analysis of related creation amplitudes in the nested Bethe ansatz as well as in the original level-1 picture in which excitations of various flavours scatter by a true $S$-matrix. In the latter case, the creation amplitudes for all double excitations we encounter take a perfectly universal form. Building on these ideas we work out Bethe solutions and states relevant in the mixing problem concerning the on-shell Lagrangian of ${\cal N} = 4$ super Yang-Mills theory. Owing to the very existence of double excitations, the chiral Yang-Mills field strength tensor can be represented by the four fermions $\{\psi^{31}, \psi^{32}, \psi^{41}, \psi^{42}\}$ moving on a spin chain of length two. Our analysis remains restricted to leading order in the coupling, where the conformal eigenstate corresponding to the on-shell Lagrangian only comprises the pure Yang-Mills action. It should eventually be possible to augment our analysis to higher loop orders by incorporating coupling corrections in the relevant ingredients from the Bethe ansatz. Finally, it was recently realised how structure constants for operators containing the hitherto hidden half of the excitations can be computed by the hexagon formalism. We use this for a first test of our conjecture for the on-shell Lagrangian, namely that its three-point function with two half-BPS operators of equal length ought to vanish.

11.061246

12.539557

12.578172

10.93637

11.988285

12.615073

11.896877

11.353157

11.280835

13.285644

11.082636

10.998619

11.532227

10.911742

10.82865

10.790756

10.855606

11.044265

10.821115

11.183744

10.869498

hep-th/9709132

null

Jens Hoppe

On the Construction of Zero Energy States in Supersymmetric Matrix Models

By accident, the wrong file was submitted

null

hep-th

null

For the SU(N) invariant supersymmetric matrix model related to membranes in 4 space-time dimensions, the general solution to the equation(s) $Q^{\dagger}\Psi=0$ $(Q\chi =0)$ is determined for N odd. For any such (bosonic) solution of $Q^{\dagger}\Psi=0$, a (fermionic) $\Phi$ is found that (formally) satisfies $Q^{\dagger}\Phi=\Psi$. For the analogous model in 11 dimensions the solution of $Q^{\dagger}\Psi=0 (Q\Psi=0)$ is outlined.

[ { "created": "Thu, 18 Sep 1997 14:55:03 GMT", "version": "v1" }, { "created": "Fri, 19 Sep 1997 21:10:10 GMT", "version": "v2" } ]

2016-09-06

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

For the SU(N) invariant supersymmetric matrix model related to membranes in 4 space-time dimensions, the general solution to the equation(s) $Q^{\dagger}\Psi=0$ $(Q\chi =0)$ is determined for N odd. For any such (bosonic) solution of $Q^{\dagger}\Psi=0$, a (fermionic) $\Phi$ is found that (formally) satisfies $Q^{\dagger}\Phi=\Psi$. For the analogous model in 11 dimensions the solution of $Q^{\dagger}\Psi=0 (Q\Psi=0)$ is outlined.

8.387743

6.669168

8.237569

7.004391

8.024706

7.628901

7.60608

6.865413

6.707648

8.561357

6.729577

6.686016

8.005262

7.127106

7.16422

7.404187

7.006662

6.972621

7.332073

8.130829

7.141201

1508.02401

Kurt Hinterbichler

Kurt Hinterbichler, Mehdi Saravani

A Stueckelberg Approach to Quadratic Curvature Gravity and its Decoupling Limits

17 pages. v2 minus sign fixed, other small changes

Phys. Rev. D 93, 065006 (2016)

10.1103/PhysRevD.93.065006

null

hep-th gr-qc

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

Curvature squared terms, when added to the Einstein-Hilbert action and treated non-perturbatively, generically result in the propagation of an extra massive scalar state and an extra massive spin-2 ghost state. Using the Stueckelberg trick, we study the high-energy limit in which the mass of the spin-2 state is taken to zero, with strong- coupling scales held fixed. The Stueckelberg approach makes transparent the interplay between the ghost graviton and the healthy graviton which allows the theory to evade the usual lambda-3 strong coupling scale of massive gravity and become renormalizable, at the expense of stability.

[ { "created": "Mon, 10 Aug 2015 20:08:55 GMT", "version": "v1" }, { "created": "Tue, 26 Apr 2016 15:57:37 GMT", "version": "v2" } ]

2016-04-27

[ [ "Hinterbichler", "Kurt", "" ], [ "Saravani", "Mehdi", "" ] ]

Curvature squared terms, when added to the Einstein-Hilbert action and treated non-perturbatively, generically result in the propagation of an extra massive scalar state and an extra massive spin-2 ghost state. Using the Stueckelberg trick, we study the high-energy limit in which the mass of the spin-2 state is taken to zero, with strong- coupling scales held fixed. The Stueckelberg approach makes transparent the interplay between the ghost graviton and the healthy graviton which allows the theory to evade the usual lambda-3 strong coupling scale of massive gravity and become renormalizable, at the expense of stability.

10.772295

9.368053

11.004622

9.897448

11.330726

10.026206

9.760952

9.168807

9.319865

11.435323

9.778354

9.903029

9.782309

9.374665

9.48261

9.615116

9.417406

9.864198

9.27809

9.783398

9.77802

2402.00117

Motoo Suzuki

Daniel Aloni, Eduardo Garc\'ia-Valdecasas, Matthew Reece, Motoo Suzuki

Spontaneously Broken $(-1)$-Form U(1) Symmetries

42 pages; v2: minor changes, accepted for publication in SciPost

null

hep-th hep-ph

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

Spontaneous breaking of symmetries leads to universal phenomena. We extend this notion to $(-1)$-form U(1) symmetries. The spontaneous breaking is diagnosed by a dependence of the vacuum energy on a constant background field $\theta$, which can be probed by the topological susceptibility. This leads to a reinterpretation of the Strong CP problem as arising from a spontaneously broken instantonic symmetry in QCD. We discuss how known solutions to the problem are unified in this framework and explore some, so far unsuccessful, attempts to find new solutions.

[ { "created": "Wed, 31 Jan 2024 19:00:03 GMT", "version": "v1" }, { "created": "Wed, 31 Jul 2024 21:00:45 GMT", "version": "v2" } ]

2024-08-02

[ [ "Aloni", "Daniel", "" ], [ "García-Valdecasas", "Eduardo", "" ], [ "Reece", "Matthew", "" ], [ "Suzuki", "Motoo", "" ] ]

Spontaneous breaking of symmetries leads to universal phenomena. We extend this notion to $(-1)$-form U(1) symmetries. The spontaneous breaking is diagnosed by a dependence of the vacuum energy on a constant background field $\theta$, which can be probed by the topological susceptibility. This leads to a reinterpretation of the Strong CP problem as arising from a spontaneously broken instantonic symmetry in QCD. We discuss how known solutions to the problem are unified in this framework and explore some, so far unsuccessful, attempts to find new solutions.

12.765635

11.128269

12.127751

11.330609

11.494066

10.444555

10.421102

11.139705

11.142401

13.120465

10.683375

10.60597

11.283412

11.407037

10.820622

11.315435

10.61678

10.703881

10.962054

11.659457

10.941719

1602.06878

Aradhya Shukla

Aradhya Shukla, Kumar Abhinav and Prasanta K. Panigrahi

Conservation Law for Massive Scale-Invariant Photons in Weyl-Invariant Gravity

11 pages, title modified, minor corrections, typos fixed, references updated, no figures

Classical and Quantum Gravity, 33 (2016) 235008

10.1088/0264-9381/33/23/235008

null

hep-th

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

It is demonstrated that a Stueckelberg-type gauge theory, coupled to the scalar-tensor theory of gravity, is invariant under both gauge and Weyl transformations. Unlike the pure Stueckelberg theory, this coupled Lagrangian has a genuine Weyl symmetry, with a non-vanishing current. The above is true in the Jordan frame, whereas in the Einstein frame, the same theory manifests as Proca theory in presence of pure gravity. It is found that broken scale invariance leads to simultaneous spontaneous breaking of the gauge symmetry.

[ { "created": "Mon, 22 Feb 2016 18:08:57 GMT", "version": "v1" }, { "created": "Fri, 26 Feb 2016 07:21:46 GMT", "version": "v2" }, { "created": "Thu, 10 Mar 2016 09:37:07 GMT", "version": "v3" }, { "created": "Wed, 12 Oct 2016 18:13:36 GMT", "version": "v4" }, { "created": "Fri, 4 Nov 2016 10:27:00 GMT", "version": "v5" } ]

2016-11-07

[ [ "Shukla", "Aradhya", "" ], [ "Abhinav", "Kumar", "" ], [ "Panigrahi", "Prasanta K.", "" ] ]

It is demonstrated that a Stueckelberg-type gauge theory, coupled to the scalar-tensor theory of gravity, is invariant under both gauge and Weyl transformations. Unlike the pure Stueckelberg theory, this coupled Lagrangian has a genuine Weyl symmetry, with a non-vanishing current. The above is true in the Jordan frame, whereas in the Einstein frame, the same theory manifests as Proca theory in presence of pure gravity. It is found that broken scale invariance leads to simultaneous spontaneous breaking of the gauge symmetry.

9.684416

8.909774

8.677043

8.53109

8.279159

8.700177

9.078868

8.152287

8.679732

9.112124

8.720658

9.097457

8.781067

8.745654

8.658064

8.676073

8.825668

8.435554

8.494838

8.982471

8.966665

2108.09453

Hirohumi Sawayanagi

Condensates, massive gauge fields and confinement in the SU(3) gauge theory

null

hep-th

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

SU(3) gauge theory in the nonlinear gauge of the Curci--Ferrari type is studied. In the low-energy region, ghost condensation and subsequent gauge field condensation can happen. The latter condensation makes classical gauge fields massive. If the color electric potential with string is chosen as the classical gauge field, it produces the static potential with the linear potential. We apply this static potential to the three-quark system, and show, different from the $Y$-type potential, infrared divergence remains in the $\Delta$-type potential. The color electric flux is also studied, and show that the current which plays the role of the magnetic current appears.

[ { "created": "Sat, 21 Aug 2021 07:36:56 GMT", "version": "v1" }, { "created": "Tue, 9 Nov 2021 01:49:31 GMT", "version": "v2" } ]

2021-11-10

[ [ "Sawayanagi", "Hirohumi", "" ] ]

SU(3) gauge theory in the nonlinear gauge of the Curci--Ferrari type is studied. In the low-energy region, ghost condensation and subsequent gauge field condensation can happen. The latter condensation makes classical gauge fields massive. If the color electric potential with string is chosen as the classical gauge field, it produces the static potential with the linear potential. We apply this static potential to the three-quark system, and show, different from the $Y$-type potential, infrared divergence remains in the $\Delta$-type potential. The color electric flux is also studied, and show that the current which plays the role of the magnetic current appears.

15.213576

14.700745

14.121462

13.644559

15.807126

14.094302

14.325129

13.890834

14.343932

14.871381

14.449907

14.121153

14.464611

13.983643

14.30182

13.509592

14.063951

13.901304

13.974673

14.228066

13.914331

2406.08422

Oliver Janssen

KSW criterion in large field models

15 pages

null

hep-th gr-qc

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

We extend the analytic description of complex no-boundary solutions in the context of inflation to large field models. We discuss the Kontsevich-Segal-Witten (KSW) criterion and find it is satisfied in small field models, while in large field models it depends on an integral involving $V'(\phi)$ over the range of inflation. It follows that the criterion does not truly constrain inflationary phenomenology since one can complete any inflaton potential beyond observable scales so as to satisfy KSW.

[ { "created": "Wed, 12 Jun 2024 17:05:21 GMT", "version": "v1" } ]

2024-06-13

[ [ "Janssen", "Oliver", "" ] ]

We extend the analytic description of complex no-boundary solutions in the context of inflation to large field models. We discuss the Kontsevich-Segal-Witten (KSW) criterion and find it is satisfied in small field models, while in large field models it depends on an integral involving $V'(\phi)$ over the range of inflation. It follows that the criterion does not truly constrain inflationary phenomenology since one can complete any inflaton potential beyond observable scales so as to satisfy KSW.

16.024157

15.150674

15.803023

15.294296

16.49402

15.372064

15.178922

14.653731

15.156822

18.059906

15.182367

14.962347

16.663465

15.897263

15.736099

15.349442

15.552913

15.411672

14.864153

16.693747

15.179161

2205.06274

Matti Jarvinen

Romuald A. Janik, Matti Jarvinen, Hesam Soltanpanahi, Jacob Sonnenschein

A perfect fluid hydrodynamic picture of domain wall velocities at strong coupling

7 pages, 7 figures

null

10.1103/PhysRevLett.129.081601

APCTP Pre2022 - 008

hep-th hep-ph

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

We show that for a range of strongly coupled theories with a first order phase transition, the domain wall or bubble velocity can be expressed in a simple way in terms of a perfect fluid hydrodynamic formula, and thus in terms of the equation of state. We test the predictions for the domain wall velocities using the gauge/gravity duality.

[ { "created": "Thu, 12 May 2022 18:00:01 GMT", "version": "v1" } ]

2022-08-31

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

We show that for a range of strongly coupled theories with a first order phase transition, the domain wall or bubble velocity can be expressed in a simple way in terms of a perfect fluid hydrodynamic formula, and thus in terms of the equation of state. We test the predictions for the domain wall velocities using the gauge/gravity duality.

10.010261

8.365874

9.169789

8.197019

8.846357

8.930136

8.778946

8.523134

8.657678

9.002863

8.474187

9.029458

8.827964

8.349305

8.890833

8.545377

8.688462

8.851561

8.808812

9.107605

8.401693

1512.03362

Irina Aref'eva

D.S. Ageev, I.Ya. Aref'eva and M.D. Tikhanovskaya

Holographic Dual to Conical Defects: I. Moving Massive Particle

Latex, 40 pages, 24 figures, comments added, some figures improved, refs added

THEORETICAL AND MATHEMATICAL PHYSICS, 188, 2016, 1038

10.1134/S0040577916070060

null

hep-th gr-qc

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

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic approximation and the renormalized image method. We compare results of the renormalized image method with direct calculations using tracing of winding geodesics around the cone singularities, and show on examples that they are equivalent. We demonstrate that in the geodesic approximation the correlators exhibit a zone structure. This structure substantially depends on the mass and velocity of the particle.

[ { "created": "Thu, 10 Dec 2015 18:34:57 GMT", "version": "v1" }, { "created": "Thu, 5 May 2016 16:49:18 GMT", "version": "v2" } ]

2016-12-15

[ [ "Ageev", "D. S.", "" ], [ "Aref'eva", "I. Ya.", "" ], [ "Tikhanovskaya", "M. D.", "" ] ]

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic approximation and the renormalized image method. We compare results of the renormalized image method with direct calculations using tracing of winding geodesics around the cone singularities, and show on examples that they are equivalent. We demonstrate that in the geodesic approximation the correlators exhibit a zone structure. This structure substantially depends on the mass and velocity of the particle.

10.411518

9.266042

10.386477

9.264977

9.325891

9.262034

9.248312

8.886111

9.081743

11.270695

9.647442

9.226728

10.227819

9.556114

9.539174

9.294052

9.226294

9.004441

9.446046

9.789394

9.459044

hep-th/9410167

Chris Hull

C. M. Hull and P. K. Townsend

Unity of Superstring Dualities

45 pages. Some minor corrections made and some references added

Nucl.Phys.B438:109-137,1995

10.1016/0550-3213(94)00559-W

QMW-94-30, R/94/33

hep-th

null

The effective action for type II string theory compactified on a six torus is $N=8$ supergravity, which is known to have an $E_{7}$ duality symmetry. We show that this is broken by quantum effects to a discrete subgroup, $E_7(\Z)$, which contains both the T-duality group $SO(6,6;\Z)$ and the S-duality group $SL(2;\Z)$. We present evidence for the conjecture that $E_7(\Z)$ is an exact \lq U-duality' symmetry of type II string theory. This conjecture requires certain extreme black hole states to be identified with massive modes of the fundamental string. The gauge bosons from the Ramond-Ramond sector couple not to string excitations but to solitons. We discuss similar issues in the context of toroidal string compactifications to other dimensions, compactifications of the type II string on $K_3\times T^2$ and compactifications of eleven-dimensional supermembrane theory.

[ { "created": "Fri, 21 Oct 1994 16:53:51 GMT", "version": "v1" }, { "created": "Fri, 13 Jan 1995 18:34:49 GMT", "version": "v2" } ]

2009-07-09

[ [ "Hull", "C. M.", "" ], [ "Townsend", "P. K.", "" ] ]

The effective action for type II string theory compactified on a six torus is $N=8$ supergravity, which is known to have an $E_{7}$ duality symmetry. We show that this is broken by quantum effects to a discrete subgroup, $E_7(\Z)$, which contains both the T-duality group $SO(6,6;\Z)$ and the S-duality group $SL(2;\Z)$. We present evidence for the conjecture that $E_7(\Z)$ is an exact \lq U-duality' symmetry of type II string theory. This conjecture requires certain extreme black hole states to be identified with massive modes of the fundamental string. The gauge bosons from the Ramond-Ramond sector couple not to string excitations but to solitons. We discuss similar issues in the context of toroidal string compactifications to other dimensions, compactifications of the type II string on $K_3\times T^2$ and compactifications of eleven-dimensional supermembrane theory.

5.259956

5.494946

6.268805

5.215713

5.447618

5.31846

5.425364

5.161362

5.219437

6.155225

5.100726

5.322395

5.537997

5.293083

5.244842

5.149726

5.204999

5.194442

5.334056

5.664401

5.13223

1506.01017

Nicolas Rey-Le Lorier

Antonio Amariti, Csaba Cs\'aki, Mario Martone, and Nicolas Rey-Le Lorier

From S-confinement to 3D Chiral Theories: Dressing the Monopoles

6 pages + appendices and references

Phys. Rev. D 93, 105027 (2016)

10.1103/PhysRevD.93.105027

null

hep-th hep-ph

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

Monopole operators play a central role in 3 dimensional supersymmetric dualities: a careful understanding of their spectrum is necessary to match chiral operators on either sides of a conjectured duality. In Chern-Simons theories ($k\neq0$), monopole operators acquire an electric charge, thus they need to be "dressed" by chiral matter superfields to be made gauge-invariant. Here we present strong evidence that "dressed" monopoles appear in $SU(N)$ chiral theories even for $k=0$ because of mixed CS terms generated along certain Coulomb branch directions. Our analysis is based on the dimensional reduction of 4-dimensional dualities which, for the simplest s-confining case, allows us to easily identify the spectrum of the electric chiral operators.

[ { "created": "Tue, 2 Jun 2015 20:00:19 GMT", "version": "v1" } ]

2016-05-25

[ [ "Amariti", "Antonio", "" ], [ "Csáki", "Csaba", "" ], [ "Martone", "Mario", "" ], [ "Lorier", "Nicolas Rey-Le", "" ] ]

Monopole operators play a central role in 3 dimensional supersymmetric dualities: a careful understanding of their spectrum is necessary to match chiral operators on either sides of a conjectured duality. In Chern-Simons theories ($k\neq0$), monopole operators acquire an electric charge, thus they need to be "dressed" by chiral matter superfields to be made gauge-invariant. Here we present strong evidence that "dressed" monopoles appear in $SU(N)$ chiral theories even for $k=0$ because of mixed CS terms generated along certain Coulomb branch directions. Our analysis is based on the dimensional reduction of 4-dimensional dualities which, for the simplest s-confining case, allows us to easily identify the spectrum of the electric chiral operators.

9.230376

9.059402

10.438247

8.816446

9.957699

9.773789

9.589631

9.285299

8.794394

9.968405

9.205527

8.729634

9.115054

8.683849

8.705937

8.987767

9.111437

8.745063

8.666459

8.760628

8.60916

2005.07830

Andrea Erdas

Andrea Erdas (Department of Physics, Loyola University Maryland)

Casimir effect of a Lorentz-violating scalar in magnetic field

10 pages, no figures

Int.J.Mod.Phys.A 35 (2020) 31, 2050209

10.1142/S0217751X20502097

null

hep-th

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

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed (Dirichlet-Neumann) boundary conditions on a pair of very large plane parallel plates. The case of Neumann boundary conditions is straightforward and will not be examined in detail. I use the $\zeta$-function regularization technique to study the effect of a constant magnetic field, orthogonal to the plates, on the Casimir energy and pressure. I investigate the cases of a timelike Lorentz asymmetry, a spacelike Lorentz asymmetry in the direction perpendicular to the plates, and a spacelike asymmetry in the plane of the plates and, in all those cases, derive simple analytic expressions for the zeta function, Casimir energy and pressure in the limits of small plate distance, strong magnetic field and large scalar field mass. I discover that the Casimir energy and pressure, and their magnetic corrections, all strongly depend on the direction of the unit vector that implements the breaking of the Lorentz symmetry.

[ { "created": "Sat, 16 May 2020 00:02:35 GMT", "version": "v1" }, { "created": "Fri, 30 Oct 2020 20:50:03 GMT", "version": "v2" } ]

2020-12-02

[ [ "Erdas", "Andrea", "", "Department of Physics, Loyola University Maryland" ] ]

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed (Dirichlet-Neumann) boundary conditions on a pair of very large plane parallel plates. The case of Neumann boundary conditions is straightforward and will not be examined in detail. I use the $\zeta$-function regularization technique to study the effect of a constant magnetic field, orthogonal to the plates, on the Casimir energy and pressure. I investigate the cases of a timelike Lorentz asymmetry, a spacelike Lorentz asymmetry in the direction perpendicular to the plates, and a spacelike asymmetry in the plane of the plates and, in all those cases, derive simple analytic expressions for the zeta function, Casimir energy and pressure in the limits of small plate distance, strong magnetic field and large scalar field mass. I discover that the Casimir energy and pressure, and their magnetic corrections, all strongly depend on the direction of the unit vector that implements the breaking of the Lorentz symmetry.

6.074893

4.993689

5.864304

5.084485

5.450957

4.973497

5.15472

4.962656

5.049615

6.585072

5.389411

5.526351

5.841187

5.573229

5.50868

5.350145

5.420367

5.572946

5.423925

5.766159

5.634142

1405.7829

Dmitriy Uvarov

D.V. Uvarov

Conformal higher-spin symmetries in twistor string theory

20 pages, LaTeX. v2: section 3 undergone major revision, others - minor improvements including correction of typos. Version accepted to Nuclear Physics B

Nucl. Phys. B v.889 (2014) pp.207-227

10.1016/j.nuclphysb.2014.10.013

null

hep-th

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

It is shown that similarly to massless superparticle, classical global symmetry of the Berkovits twistor string action is infinite-dimensional. We identify its superalgebra, whose finite-dimensional subalgebra contains $psl(4|4,\mathbb R)$ superalgebra. In quantum theory this infinite-dimensional symmetry breaks down to $SL(4|4,\mathbb R)$ one.

[ { "created": "Fri, 30 May 2014 11:58:36 GMT", "version": "v1" }, { "created": "Tue, 11 Nov 2014 09:57:47 GMT", "version": "v2" } ]

2014-11-12

[ [ "Uvarov", "D. V.", "" ] ]

It is shown that similarly to massless superparticle, classical global symmetry of the Berkovits twistor string action is infinite-dimensional. We identify its superalgebra, whose finite-dimensional subalgebra contains $psl(4|4,\mathbb R)$ superalgebra. In quantum theory this infinite-dimensional symmetry breaks down to $SL(4|4,\mathbb R)$ one.

9.629783

8.730699

11.436763

8.883419

9.723113

8.534939

8.81332

9.669542

8.654919

12.412114

8.993413

8.479583

9.912779

8.202913

8.695682

8.778693

9.17944

8.506622

8.497392

9.371468

8.673965

0804.3973

Domenico Seminara

Antonio Bassetto (Padua U., INFN), Luca Griguolo (Parma U., INFN), Fabrizio Pucci (Florence U., INFN) and Domenico Seminara (Florence U., INFN)

Supersymmetric Wilson loops at two loops

35 pages, 14 figures, typos corrected, references added

JHEP 0806:083,2008

10.1088/1126-6708/2008/06/083

null

hep-th

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

We study the quantum properties of certain BPS Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on $S^3$ with a fraction of supersymmetry. When restricted to $S^2$, their quantum average has been further conjectured to be exactly computed by the matrix model governing the zero-instanton sector of YM$_2$ on the sphere. We perform a complete two-loop analysis on a class of cusped Wilson loops lying on a two-dimensional sphere, finding perfect agreement with the conjecture. The perturbative computation reproduces the matrix-model expectation through a highly non-trivial interplay between ladder diagrams and self-energies/vertex contributions, suggesting the existence of a localization procedure.

[ { "created": "Thu, 24 Apr 2008 19:52:32 GMT", "version": "v1" }, { "created": "Mon, 5 May 2008 18:39:13 GMT", "version": "v2" } ]

2014-11-18

[ [ "Bassetto", "Antonio", "", "Padua U., INFN" ], [ "Griguolo", "Luca", "", "Parma U., INFN" ], [ "Pucci", "Fabrizio", "", "Florence U., INFN" ], [ "Seminara", "Domenico", "", "Florence U., INFN" ] ]

We study the quantum properties of certain BPS Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on $S^3$ with a fraction of supersymmetry. When restricted to $S^2$, their quantum average has been further conjectured to be exactly computed by the matrix model governing the zero-instanton sector of YM$_2$ on the sphere. We perform a complete two-loop analysis on a class of cusped Wilson loops lying on a two-dimensional sphere, finding perfect agreement with the conjecture. The perturbative computation reproduces the matrix-model expectation through a highly non-trivial interplay between ladder diagrams and self-energies/vertex contributions, suggesting the existence of a localization procedure.

10.719176

9.442731

12.921

9.67954

10.430799

9.316211

9.940065

8.982078

9.726572

12.754837

9.158755

10.03073

11.533843

10.115243

9.903433

10.378734

9.691998

9.880599

9.828721

10.809519

9.948278

hep-th/0511104

David Berenstein

David Berenstein, Diego H. Correa

Emergent geometry from q-deformations of N=4 super Yang-Mills

22 pages, 1 figure. v2: added references. v3:final published version

JHEP0608:006,2006

10.1088/1126-6708/2006/08/006

NSF-KITP-05-91, CECS-PHY-05/13

hep-th

null

We study BPS states in a marginal deformation of super Yang-Mills on R x S^3 using a quantum mechanical system of q-commuting matrices. We focus mainly on the case where the parameter q is a root of unity, so that the AdS dual of the field theory can be associated to an orbifold of AdS_5x S^5. We show that in the large N limit, BPS states are described by density distributions of eigenvalues and we assign to these distributions a geometrical spacetime interpretation. We go beyond BPS configurations by turning on perturbative non-q-commuting excitations. Considering states in an appropriate BMN limit, we use a saddle point approximation to compute the BMN energy to all perturbative orders in the 't Hooft coupling. We also examine some BMN like states that correspond to twisted sector string states in the orbifold and we show that our geometrical interpretation of the system is consistent with the quantum numbers of the corresponding states under the quantum symmetry of the orbifold.

[ { "created": "Wed, 9 Nov 2005 11:50:01 GMT", "version": "v1" }, { "created": "Mon, 21 Nov 2005 13:11:01 GMT", "version": "v2" }, { "created": "Mon, 26 Jun 2006 21:26:14 GMT", "version": "v3" } ]

2009-11-11

[ [ "Berenstein", "David", "" ], [ "Correa", "Diego H.", "" ] ]

We study BPS states in a marginal deformation of super Yang-Mills on R x S^3 using a quantum mechanical system of q-commuting matrices. We focus mainly on the case where the parameter q is a root of unity, so that the AdS dual of the field theory can be associated to an orbifold of AdS_5x S^5. We show that in the large N limit, BPS states are described by density distributions of eigenvalues and we assign to these distributions a geometrical spacetime interpretation. We go beyond BPS configurations by turning on perturbative non-q-commuting excitations. Considering states in an appropriate BMN limit, we use a saddle point approximation to compute the BMN energy to all perturbative orders in the 't Hooft coupling. We also examine some BMN like states that correspond to twisted sector string states in the orbifold and we show that our geometrical interpretation of the system is consistent with the quantum numbers of the corresponding states under the quantum symmetry of the orbifold.

9.391108

9.122543

11.337216

8.893126

10.114327

9.560326

8.877145

9.221958

9.602154

12.764007

8.926158

9.097598

10.033815

9.024728

9.372866

8.921621

9.123401

9.082438

9.240624

9.89279

9.124123

hep-th/9609024

Emil Yuzbashyan

Andrei N. Leznov and Emil A. Yuzbashyan

Integrable mappings for noncommuting objects

11 pages, language improved

Rept. Math. Phys. 43:207-214, (1999)

10.1016/S0034-4877(99)80028-7

null

hep-th

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

We construct hierarchies of integrable systems invariant under the two-dimensional Darboux-Toda mapping for noncommuting objects, thus generalizing to the noncommutative case the integrable mapping approach to nonlinear dynamical systems. Besides the usual setup with one time and two space dimensions, we consider the case when the unknown functions also depend on two Grassman variables.

[ { "created": "Mon, 2 Sep 1996 10:44:48 GMT", "version": "v1" }, { "created": "Mon, 4 Sep 2023 16:14:05 GMT", "version": "v2" } ]

2023-09-06

[ [ "Leznov", "Andrei N.", "" ], [ "Yuzbashyan", "Emil A.", "" ] ]

We construct hierarchies of integrable systems invariant under the two-dimensional Darboux-Toda mapping for noncommuting objects, thus generalizing to the noncommutative case the integrable mapping approach to nonlinear dynamical systems. Besides the usual setup with one time and two space dimensions, we consider the case when the unknown functions also depend on two Grassman variables.

16.039951

15.543159

15.498451

15.531798

18.4701

14.510349

16.787109

15.37897

16.065071

20.153734

14.663374

14.6505

15.854864

14.919482

15.841436

14.663146

16.09149

15.238945

15.522751

16.230247

13.544484

1207.3220

Song He

Bo Feng, Song He

Graphs, determinants and gravity amplitudes

19 pages, 3 figures

null

10.1007/JHEP10(2012)121

AEI-2012-068

hep-th

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

We apply the matrix-tree theorem to establish a link between various diagrammatic and determinant expressions, which naturally appear in scattering amplitudes of gravity theories. Using this link we are able to give a general graph-theoretical formulation for the tree-level maximally-helicity-violated gravity amplitudes. Furthermore, we use the link to prove two identities for half-soft functions of gravity amplitudes. Finally we recast the diagrammatic formulation of one-loop rational part of $\mathcal{N}=4$ supergravity into a matrix form.

[ { "created": "Fri, 13 Jul 2012 12:34:06 GMT", "version": "v1" } ]

2015-06-05

[ [ "Feng", "Bo", "" ], [ "He", "Song", "" ] ]

We apply the matrix-tree theorem to establish a link between various diagrammatic and determinant expressions, which naturally appear in scattering amplitudes of gravity theories. Using this link we are able to give a general graph-theoretical formulation for the tree-level maximally-helicity-violated gravity amplitudes. Furthermore, we use the link to prove two identities for half-soft functions of gravity amplitudes. Finally we recast the diagrammatic formulation of one-loop rational part of $\mathcal{N}=4$ supergravity into a matrix form.

10.829498

10.677606

12.222893

10.310378

9.498786

9.803112

9.569043

9.597787

9.169406

12.262506

9.429961

9.912271

9.782705

9.813857

10.202281

10.380364

9.887673

9.999495

9.99817

9.703713

9.995681

1812.08758

Kallosh Renata

Murat Gunaydin and Renata Kallosh

Supersymmetry constraints on U-duality invariant deformations of $N \geq 5$ Supergravity

24 p, 8 Tables

null

10.1007/JHEP09(2019)105

null

hep-th

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

Candidate counterterms break E7 type U-duality symmetry of $N \geq 5$ supergravity theories in four dimensions \cite{Kallosh:2011dp}. A proposal was made in \cite{Bossard:2011ij} to restore it, starting with a double set of vector fields and argued that a supersymmetric extension of their proposal should exist. We show that the extra vectors, needed for the deformation, can not be auxiliary fields in an eventual off-shell formulation $N \geq 5$ supergravity, assuming that such a formulation exists. Furthermore we show that these extra vector fields can not be dynamical either since that changes the unitary supermultiplets underlying these theories and requires one to go beyond the standard framework of extended simple supergravities. To show this we list all relevant unitary conformal supermultiplets of $SU(2,2|N+n)$. We find that doubling of vectors consistent with linearized supersymmetry requires to change the number of scalars, violating the coset structure of the theory, and also to add a finite number of higher spin fields, which do not admit consistent couplings to theories with spins $\leq 2$. Thus, the proposed duality restoring deformation along the lines of \cite{Bossard:2011ij} can not be implemented within the standard framework of extended supergravity theories. We argue therefore that, in the absence of anomalies, E7 type duality together with supersymmetry, might protect $N \geq 5$ supergravity from UV divergences, in particular, $N=5$ supergravity at 4 loops in d=4.

[ { "created": "Thu, 20 Dec 2018 18:39:47 GMT", "version": "v1" }, { "created": "Sun, 13 Jan 2019 04:26:48 GMT", "version": "v2" }, { "created": "Mon, 26 Aug 2019 04:01:06 GMT", "version": "v3" }, { "created": "Tue, 27 Aug 2019 17:32:04 GMT", "version": "v4" } ]

2019-10-02

[ [ "Gunaydin", "Murat", "" ], [ "Kallosh", "Renata", "" ] ]

Candidate counterterms break E7 type U-duality symmetry of $N \geq 5$ supergravity theories in four dimensions \cite{Kallosh:2011dp}. A proposal was made in \cite{Bossard:2011ij} to restore it, starting with a double set of vector fields and argued that a supersymmetric extension of their proposal should exist. We show that the extra vectors, needed for the deformation, can not be auxiliary fields in an eventual off-shell formulation $N \geq 5$ supergravity, assuming that such a formulation exists. Furthermore we show that these extra vector fields can not be dynamical either since that changes the unitary supermultiplets underlying these theories and requires one to go beyond the standard framework of extended simple supergravities. To show this we list all relevant unitary conformal supermultiplets of $SU(2,2|N+n)$. We find that doubling of vectors consistent with linearized supersymmetry requires to change the number of scalars, violating the coset structure of the theory, and also to add a finite number of higher spin fields, which do not admit consistent couplings to theories with spins $\leq 2$. Thus, the proposed duality restoring deformation along the lines of \cite{Bossard:2011ij} can not be implemented within the standard framework of extended supergravity theories. We argue therefore that, in the absence of anomalies, E7 type duality together with supersymmetry, might protect $N \geq 5$ supergravity from UV divergences, in particular, $N=5$ supergravity at 4 loops in d=4.

9.552567

9.815335

10.452948

9.77959

10.346645

10.724049

10.23495

9.469796

9.650976

11.635989

9.366006

9.191371

9.378341

9.129861

9.083395

9.012395

9.169044

9.227688

9.355097

9.416778

9.387127

hep-th/9802037

Yamawaki

Koichi Yamawaki (Nagoya University)

Zero-Mode Problem on the Light Front

63 pages, LaTex, 3 EPS figures, Lectures given at 10 th Annual Summer School and Symposium on Nuclear Physics (NUSS 97), ``QCD, Lightcone Physics and Hadron Phenomenology'', Seoul, Korea, June 23-28, 1997, a minor correction on cover page

null

DPNU-98-07

hep-th hep-ph nucl-th

null

A series of lectures are given to discuss the zero-mode problem on the light-front (LF) quantization with special emphasis on the peculiar realization of the trivial vacuum, the spontaneous symmetry breaking (SSB) and the Lorentz invariance. We discuss Discrete Light-Cone Quantization (DLCQ) which was first introduced by Maskawa and Yamawaki (MY). Following MY, we present canonical formalism of DLCQ and the zero-mode constraint through which the zero mode can actually be solved away in terms of other modes,thus establishing the trivial vacuum. Due to this trivial vacuum, existence of the massless Nambu-Goldstone (NG) boson coupled to the current is guaranteed by the non-conserved charge such that Q |0> = 0 and dot{Q} ne 0. The SSB (NG phase) in DLCQ can be realized on the trivial vacuum only when an explicit symmetry-breaking mass of the NG boson m_{pi} is introduced so that the NG-boson zero mode integrated over the LF exhibits singular behavior sim 1/m_{pi}^2 in such a way that dot{Q} ne 0 in the symmetric limit m_{pi} -> 0. We also demonstrate this realization more explicitly in the linear sigma model where the role of zero-mode constraint is clarified. We fur ther point out, in disagreement with Wilson et al., that for SSB in the continuum LF theory, the trivial vacuum collapses due to the special nature of the zero mode as the accumulating point P^+ -> 0, in sharp contrast to DLCQ. Finally, we discuss the no-go theorem of Nakanishi and Yamawaki, which forbids exact LF r estriction of the field theory. Thus DLCQ as well as any other regularization on the exact LF has no Lorentz-invariant limit as the theory itself, although the Lorentz-invariant limit can be realized on the c-number quantity like S matrix which has no reference to the fixed LF.

[ { "created": "Fri, 6 Feb 1998 16:48:37 GMT", "version": "v1" }, { "created": "Wed, 11 Feb 1998 14:20:04 GMT", "version": "v2" } ]

2007-05-23

[ [ "Yamawaki", "Koichi", "", "Nagoya University" ] ]

A series of lectures are given to discuss the zero-mode problem on the light-front (LF) quantization with special emphasis on the peculiar realization of the trivial vacuum, the spontaneous symmetry breaking (SSB) and the Lorentz invariance. We discuss Discrete Light-Cone Quantization (DLCQ) which was first introduced by Maskawa and Yamawaki (MY). Following MY, we present canonical formalism of DLCQ and the zero-mode constraint through which the zero mode can actually be solved away in terms of other modes,thus establishing the trivial vacuum. Due to this trivial vacuum, existence of the massless Nambu-Goldstone (NG) boson coupled to the current is guaranteed by the non-conserved charge such that Q |0> = 0 and dot{Q} ne 0. The SSB (NG phase) in DLCQ can be realized on the trivial vacuum only when an explicit symmetry-breaking mass of the NG boson m_{pi} is introduced so that the NG-boson zero mode integrated over the LF exhibits singular behavior sim 1/m_{pi}^2 in such a way that dot{Q} ne 0 in the symmetric limit m_{pi} -> 0. We also demonstrate this realization more explicitly in the linear sigma model where the role of zero-mode constraint is clarified. We fur ther point out, in disagreement with Wilson et al., that for SSB in the continuum LF theory, the trivial vacuum collapses due to the special nature of the zero mode as the accumulating point P^+ -> 0, in sharp contrast to DLCQ. Finally, we discuss the no-go theorem of Nakanishi and Yamawaki, which forbids exact LF r estriction of the field theory. Thus DLCQ as well as any other regularization on the exact LF has no Lorentz-invariant limit as the theory itself, although the Lorentz-invariant limit can be realized on the c-number quantity like S matrix which has no reference to the fixed LF.

11.98047

12.770371

12.436339

11.675674

12.331876

11.670588

12.271318

12.104584

11.319126

13.388596

11.93624

11.728442

11.879935

11.600665

11.493384

12.122889

11.858786

11.667286

11.896849

12.049463

11.639826

hep-th/9906124

Carlos A. S. Almeida

Deusdedit M. Medeiros, R. R. Landim, C. A. S. Almeida (Departamento de Fisica-UFC-Brazil)

Non-Chern-Simons Topological Mass Generation in (2+1) Dimensions

8 pages, no figures, RevTEX

Europhys.Lett.48:610-615,1999

10.1209/epl/i1999-00527-x

null

hep-th

null

By dimensional reduction of a massive BF theory, a new topological field theory is constructed in (2+1) dimensions. Two different topological terms, one involving a scalar and a Kalb-Ramond fields and another one equivalent to the four-dimensional BF term, are present. We constructed two actions with these topological terms and show that a topological mass generation mechanism can be implemented. Using the non-Chern-Simons topological term, an action is proposed leading to a classical duality relation between Klein-Gordon and Maxwell actions. We also have shown that an action in (2+1) dimensions with the Kalb-Ramond field is related by Buscher's duality transformation to a massive gauge-invariant Stuckelberg-type theory.

[ { "created": "Wed, 16 Jun 1999 19:43:04 GMT", "version": "v1" } ]

2019-08-17

[ [ "Medeiros", "Deusdedit M.", "", "Departamento de\n Fisica-UFC-Brazil" ], [ "Landim", "R. R.", "", "Departamento de\n Fisica-UFC-Brazil" ], [ "Almeida", "C. A. S.", "", "Departamento de\n Fisica-UFC-Brazil" ] ]

By dimensional reduction of a massive BF theory, a new topological field theory is constructed in (2+1) dimensions. Two different topological terms, one involving a scalar and a Kalb-Ramond fields and another one equivalent to the four-dimensional BF term, are present. We constructed two actions with these topological terms and show that a topological mass generation mechanism can be implemented. Using the non-Chern-Simons topological term, an action is proposed leading to a classical duality relation between Klein-Gordon and Maxwell actions. We also have shown that an action in (2+1) dimensions with the Kalb-Ramond field is related by Buscher's duality transformation to a massive gauge-invariant Stuckelberg-type theory.

10.22503

8.318301

9.816122

8.465289

8.983087

8.446886

8.584717

8.59795

8.723615

11.146894

8.500573

8.893983

9.672957

9.17726

9.133022

9.300453

9.184247

9.016213

9.032996

9.597437

9.088679

1101.0872

Yutaka Yoshida

Localization of Vortex Partition Functions in $\mathcal{N}=(2,2) $ Super Yang-Mills theory

15 pages

null

KEK-TH 1433

hep-th

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

In this article, we study the localizaiton of the partition function of BPS vortices in $\mathcal{N}=(2,2)$ $U(N)$ super Yang-Mills theory with $N$-flavor on $\R^2$. The vortex partition function for $\mathcal{N}=(2,2)$ super Yang-Mills theory is obtained from the one in $\mathcal{N}=(4,4)$ super Yang-Mills theory by mass deformation. We show that the partition function can be written as $Q$-exact form and integration in the partition functions is localized to the fixed points which are related to $N$-tuple one dimensional partitions of positive integers.

[ { "created": "Wed, 5 Jan 2011 02:43:49 GMT", "version": "v1" } ]

2011-01-06

[ [ "Yoshida", "Yutaka", "" ] ]

In this article, we study the localizaiton of the partition function of BPS vortices in $\mathcal{N}=(2,2)$ $U(N)$ super Yang-Mills theory with $N$-flavor on $\R^2$. The vortex partition function for $\mathcal{N}=(2,2)$ super Yang-Mills theory is obtained from the one in $\mathcal{N}=(4,4)$ super Yang-Mills theory by mass deformation. We show that the partition function can be written as $Q$-exact form and integration in the partition functions is localized to the fixed points which are related to $N$-tuple one dimensional partitions of positive integers.

6.076753

5.568409

6.438479

5.811789

5.915902

6.209596

5.538407

5.797288

5.547658

7.242571

5.447632

5.34032

5.775479

5.570248

5.30092

5.479713

5.414577

5.652521

5.650467

6.02292

5.419997

hep-th/9903242

Amihay Hanany

Amihay Hanany and Alberto Zaffaroni

Issues on Orientifolds: On the brane construction of gauge theories with SO(2n) global symmetry

38 pages, 23 figures, uses bibtex and (provided) utphys.bst

JHEP 9907 (1999) 009

10.1088/1126-6708/1999/07/009

CERN-TH/99-82, MIT-CTP-2845

hep-th

null

We discuss issues related to orientifolds and the brane realization for gauge theories with orthogonal and symplectic groups. We specifically discuss the case of theories with (hidden) global SO(2n) symmetry, from three to six dimensions. We analyze mirror symmetry for three dimensional N=4 gauge theories, Brane Box Models and six-dimensional gauge theories. We also discuss the issue of T-duality for D_n space-time singularities. Stuck D branes on ON^0 planes play an interesting role.

[ { "created": "Mon, 29 Mar 1999 16:51:28 GMT", "version": "v1" } ]

2009-10-31

[ [ "Hanany", "Amihay", "" ], [ "Zaffaroni", "Alberto", "" ] ]

We discuss issues related to orientifolds and the brane realization for gauge theories with orthogonal and symplectic groups. We specifically discuss the case of theories with (hidden) global SO(2n) symmetry, from three to six dimensions. We analyze mirror symmetry for three dimensional N=4 gauge theories, Brane Box Models and six-dimensional gauge theories. We also discuss the issue of T-duality for D_n space-time singularities. Stuck D branes on ON^0 planes play an interesting role.

17.864872

17.194408

21.753452

16.973024

18.29426

16.763027

16.030336

16.580629

15.767037

23.047489

15.845852

16.720449

18.67071

16.2715

17.132626

16.792662

17.055822

17.182577

16.274616

17.249983

16.462019

1704.02863

Harold Steinacker

Marcus Sperling, Harold C. Steinacker

Covariant 4-dimensional fuzzy spheres, matrix models and higher spin

41+7 pages, 4 figures

null

10.1088/1751-8121/aa8295

UWThPh-2017-08

hep-th math-ph math.MP

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

We study in detail generalized 4-dimensional fuzzy spheres with twisted extra dimensions. These spheres can be viewed as $SO(5)$-equivariant projections of quantized coadjoint orbits of $SO(6)$. We show that they arise as solutions in Yang-Mills matrix models, which naturally leads to higher-spin gauge theories on $S^4$. Several types of embeddings in matrix models are found, including one with self-intersecting fuzzy extra dimensions $S^4 \times \mathcal{K}$, which is expected to entail 2+1 generations.

[ { "created": "Mon, 10 Apr 2017 14:11:25 GMT", "version": "v1" } ]

2017-09-13

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

We study in detail generalized 4-dimensional fuzzy spheres with twisted extra dimensions. These spheres can be viewed as $SO(5)$-equivariant projections of quantized coadjoint orbits of $SO(6)$. We show that they arise as solutions in Yang-Mills matrix models, which naturally leads to higher-spin gauge theories on $S^4$. Several types of embeddings in matrix models are found, including one with self-intersecting fuzzy extra dimensions $S^4 \times \mathcal{K}$, which is expected to entail 2+1 generations.

12.67485

11.529755

12.795075

11.409732

13.333228

11.227504

11.858865

11.090775

10.597101

14.323718

11.446545

10.684213

11.450707

10.66953

10.782745

10.593124

10.744982

10.851626

10.872977

11.940892

10.275702

hep-th/9311046

Klaus Lang

Klaus Lang, Werner Ruehl

Critical O(N) - vector nonlinear sigma - models: A resume of their field structure

16 pages, Latex. To appear in the Proceedings of the XXII Conference on Differential Methods in Theoretical Physics, Ixtapa, Mexico, September 20-24, 1993

null

KL-TH-93/23

hep-th

null

The classification of quasi - primary fields is outlined. It is proved that the only conserved quasi - primary currents are the energy - momentum tensor and the O(N) - Noether currents. Derivation of all quasi - primary fields and the resolution of degeneracy is sketched. Finally the limits d=2 and d=4 of the space dimension are discussed. Whereas the latter is trivial the former is only almost so.

[ { "created": "Mon, 8 Nov 1993 15:25:35 GMT", "version": "v1" } ]

2009-09-25

[ [ "Lang", "Klaus", "" ], [ "Ruehl", "Werner", "" ] ]

The classification of quasi - primary fields is outlined. It is proved that the only conserved quasi - primary currents are the energy - momentum tensor and the O(N) - Noether currents. Derivation of all quasi - primary fields and the resolution of degeneracy is sketched. Finally the limits d=2 and d=4 of the space dimension are discussed. Whereas the latter is trivial the former is only almost so.

7.125488

9.556275

10.161687

8.846172

10.643686

9.835763

10.176377

9.13295

8.301429

9.68452

9.316067

8.811697

9.885147

9.017387

9.07554

8.820478

9.049902

9.170125

9.139114

9.310604

8.956796

hep-th/0012259

El Mostapha Sahraoui

El Mostapha Sahraoui and El Hassan Saidi

Solitons on compact and noncompact spaces in large noncommutativity

25 pages, Latex, 1 figure (use epsfig.sty), corrected formula

Class.Quant.Grav.18:3339-3358,2001

10.1088/0264-9381/18/17/302

null

hep-th

null

We study solutions at the minima of scalar field potentials for Moyal spaces and torii in the large non-commutativity and interprete these solitons in terms of non-BPS D-branes of string theory. We derive a mass spectrum formula linking different D-branes together on quantum torii and suggest that it describes general systems of D-brane bound states extending the D2-D0 one. Then we propose a shape for the effective potential approaching these quasi-stable bound states. We give the gauge symmetries of these systems of branes and show that they depend on the quantum torii representations.

[ { "created": "Thu, 28 Dec 2000 18:58:10 GMT", "version": "v1" }, { "created": "Sat, 6 Jan 2001 17:07:51 GMT", "version": "v2" } ]

2014-11-18

[ [ "Sahraoui", "El Mostapha", "" ], [ "Saidi", "El Hassan", "" ] ]

We study solutions at the minima of scalar field potentials for Moyal spaces and torii in the large non-commutativity and interprete these solitons in terms of non-BPS D-branes of string theory. We derive a mass spectrum formula linking different D-branes together on quantum torii and suggest that it describes general systems of D-brane bound states extending the D2-D0 one. Then we propose a shape for the effective potential approaching these quasi-stable bound states. We give the gauge symmetries of these systems of branes and show that they depend on the quantum torii representations.

21.986992

20.469349

22.555614

20.807249

21.4352

21.814312

23.332239

22.303688

21.15494

26.342201

21.45225

21.118956

21.67886

20.816994

21.573692

20.919611

20.988453

21.568436

21.553677

22.424101

20.293671

hep-th/9310178

null

Yasumasa Imamura

Supercurrents on Asymmetric Orbifolds

7 pages, Latex, KOBE-TH-93-08

Prog.Theor.Phys.91:591-598,1994

10.1143/PTP.91.591

null

hep-th

null

We study $E_8 \times E_8$-heterotic string on asymmetric orbifolds associated with semi-simple simply-laced Lie algebras. Using the fact that $E_6$-model allows different twists, we present a new N=1 space-time supersymmetric model whose supercurrent appears from twisted sectors but not untwisted sector.

[ { "created": "Wed, 27 Oct 1993 09:28:22 GMT", "version": "v1" } ]

2010-11-01

[ [ "Imamura", "Yasumasa", "" ] ]

We study $E_8 \times E_8$-heterotic string on asymmetric orbifolds associated with semi-simple simply-laced Lie algebras. Using the fact that $E_6$-model allows different twists, we present a new N=1 space-time supersymmetric model whose supercurrent appears from twisted sectors but not untwisted sector.

12.384236

9.765886

11.924681

9.100384

9.676897

10.261898

9.669115

8.752851

9.200001

12.488905

9.704926

10.604668

10.912207

10.859609

10.976548

10.443146

10.485411

10.316298

10.36265

11.19476

10.04073

1005.1911

A. Yu. Petrov

C. Furtado, J. R. Nascimento, A. Yu. Petrov, A. F. Santos

Dynamical Chern-Simons modified gravity and Friedmann-Robertson-Walker metric

11 pages, revised version, new material added

null

hep-th gr-qc

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

We study the conditions for the consistency of the Friedmann-Robertson-Walker (FRW) metric with the dynamical Chern-Simons modified gravity. It turns out to be that in this situation the accelerated expansion of the Universe takes place, with the time dependence of the scale factor turns out to be similar to the case of presence of the Chaplygin gas. Also we found that this modification changes the total density of the Universe and therefore gives a nontrivial impact to a cosmological scenario.

[ { "created": "Tue, 11 May 2010 19:01:58 GMT", "version": "v1" }, { "created": "Fri, 21 May 2010 13:12:02 GMT", "version": "v2" }, { "created": "Wed, 13 Jul 2011 18:06:55 GMT", "version": "v3" } ]

2011-07-14

[ [ "Furtado", "C.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "Santos", "A. F.", "" ] ]

We study the conditions for the consistency of the Friedmann-Robertson-Walker (FRW) metric with the dynamical Chern-Simons modified gravity. It turns out to be that in this situation the accelerated expansion of the Universe takes place, with the time dependence of the scale factor turns out to be similar to the case of presence of the Chaplygin gas. Also we found that this modification changes the total density of the Universe and therefore gives a nontrivial impact to a cosmological scenario.

8.68187

7.735656

7.690237

7.597046

7.563181

7.321793

8.2981

7.773138

7.544141

7.744828

7.806241

7.830477

8.076083

7.658412

7.817461

7.723791

7.690499

7.616223

7.740226

7.809156

7.81406

hep-th/0512214

Hossein Yavartanoo

Mohsen Alishahiha and Hossein Yavartanoo

On 1/2 BPS Solutions in M-theory

19 pages, 3 figures, LaTeX, reference added

null

IPM/P-2005/086

hep-th

null

We study singular 1/2 BPS solutions in M-theory using 11-dimensional superstar solutions. The superstar solutions and their corresponding plane wave limits could give an insight how one may deform the boundary conditions to get singular, but still physically acceptable, solutions. Starting from M-theory solutions with an isometry, we will also study 10-dimensional solutions coming from these M-theory solutions compactified on a circle.

[ { "created": "Sat, 17 Dec 2005 09:20:25 GMT", "version": "v1" }, { "created": "Thu, 19 Jan 2006 11:14:11 GMT", "version": "v2" } ]

2007-05-23

[ [ "Alishahiha", "Mohsen", "" ], [ "Yavartanoo", "Hossein", "" ] ]

We study singular 1/2 BPS solutions in M-theory using 11-dimensional superstar solutions. The superstar solutions and their corresponding plane wave limits could give an insight how one may deform the boundary conditions to get singular, but still physically acceptable, solutions. Starting from M-theory solutions with an isometry, we will also study 10-dimensional solutions coming from these M-theory solutions compactified on a circle.

15.842142

13.769659

17.211426

14.051938

13.792336

14.913146

13.49834

15.83136

12.729999

20.680861

13.77226

14.851548

15.572002

13.848676

13.96034

14.060979

13.730277

14.155154

14.020314

15.352204

13.785499

hep-th/0401025

Martijn Wijnholt

Five-Dimensional Gauge Theories and Unitary Matrix Models

29 p, 4 fig, harvmac

null

PUPT-2106

hep-th

null

The matrix model computations of effective superpotential terms in N=1 supersymmetric gauge theories in four dimensions have been proposed to apply more generally to gauge theories in higher dimensions. We discuss aspects of five-dimensional gauge theory compactified on a circle, which leads to a unitary matrix model.

[ { "created": "Tue, 6 Jan 2004 20:37:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wijnholt", "Martijn", "" ] ]

The matrix model computations of effective superpotential terms in N=1 supersymmetric gauge theories in four dimensions have been proposed to apply more generally to gauge theories in higher dimensions. We discuss aspects of five-dimensional gauge theory compactified on a circle, which leads to a unitary matrix model.

11.090097

7.776147

10.403113

8.406301

8.960765

8.190339

8.447561

8.335399

7.613525

11.655313

7.887154

8.666289

10.75531

9.188478

9.028054

8.929632

9.296266

9.128201

9.029131

10.591756

8.905171

2208.02823

Sam S. C. Wong

Justin Khoury, Toshifumi Noumi, Mark Trodden, Sam S. C. Wong

Stability of Hairy Black Holes in Shift-Symmetric Scalar-Tensor Theories via the Effective Field Theory Approach

25 pages, JCAP version

null

10.1088/1475-7516/2023/04/035

null

hep-th astro-ph.CO gr-qc

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

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild-de Sitter black hole solutions exhibiting time-dependent scalar hair. The properties of these solutions may be studied via a bottom-up effective field theory (EFT) based on the background symmetries. This is in part possible by making use of a convenient coordinate choice -- Lema\^itre-type coordinates -- in which the profile of the Horndeski scalar field is linear in the relevant time coordinate. We construct this EFT, and use it to understand the stability of hairy black holes in shift-symmetric Horndeski theories, providing a set of constraints that the otherwise-free functions appearing in the Horndeski Lagrangian must satisfy in order to admit stable black hole solutions. The EFT is analyzed in the decoupling limit to understand potential sources of instability. We also perform a complete analysis of the EFT with odd-parity linear perturbations around general spherically symmetric space-time.

[ { "created": "Thu, 4 Aug 2022 18:00:00 GMT", "version": "v1" }, { "created": "Fri, 28 Apr 2023 03:33:59 GMT", "version": "v2" } ]

2023-05-01

[ [ "Khoury", "Justin", "" ], [ "Noumi", "Toshifumi", "" ], [ "Trodden", "Mark", "" ], [ "Wong", "Sam S. C.", "" ] ]

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild-de Sitter black hole solutions exhibiting time-dependent scalar hair. The properties of these solutions may be studied via a bottom-up effective field theory (EFT) based on the background symmetries. This is in part possible by making use of a convenient coordinate choice -- Lema\^itre-type coordinates -- in which the profile of the Horndeski scalar field is linear in the relevant time coordinate. We construct this EFT, and use it to understand the stability of hairy black holes in shift-symmetric Horndeski theories, providing a set of constraints that the otherwise-free functions appearing in the Horndeski Lagrangian must satisfy in order to admit stable black hole solutions. The EFT is analyzed in the decoupling limit to understand potential sources of instability. We also perform a complete analysis of the EFT with odd-parity linear perturbations around general spherically symmetric space-time.

8.685508

8.267271

7.811042

7.471359

8.382265

8.089843

8.631577

7.549316

7.943578

8.421058

8.283761

7.795104

7.661005

7.640014

7.642522

7.858856

7.782629

7.471986

7.962006

7.802304

8.143723

hep-th/0509062

Ulrich Ellwanger

Brane Universes and the Cosmological Constant

corrected typos, added references, 13 pages, accepted by MPLA as brief review

Mod.Phys.Lett. A20 (2005) 2521-2532

10.1142/S0217732305018773

LPT Orsay 05-51

hep-th

null

The cosmological constant problem and brane universes are reviewed briefly. We discuss how the cosmological constant problem manifests itself in various scenarios for brane universes. We review attempts - and their difficulties - that aim at a solution of the cosmological constant problem.

[ { "created": "Fri, 9 Sep 2005 12:53:08 GMT", "version": "v1" }, { "created": "Fri, 16 Sep 2005 09:21:35 GMT", "version": "v2" } ]

2009-11-11

[ [ "Ellwanger", "Ulrich", "" ] ]

The cosmological constant problem and brane universes are reviewed briefly. We discuss how the cosmological constant problem manifests itself in various scenarios for brane universes. We review attempts - and their difficulties - that aim at a solution of the cosmological constant problem.

10.021132

8.79483

9.165738

8.346621

8.474601

9.044344

7.826862

9.13342

8.269485

8.136875

9.093204

8.794248

9.414479

9.07146

8.989568

9.414505

9.102878

9.519853

9.467275

9.183108

8.909697

1712.02803

ChunJun Cao

ChunJun Cao, Sean M. Carroll

Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space

29 pages, 2 figures

Phys. Rev. D 97, 086003 (2018)

10.1103/PhysRevD.97.086003

CALT-TH-2017-069

hep-th gr-qc quant-ph

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

We consider the emergence from quantum entanglement of spacetime geometry in a bulk region. For certain classes of quantum states in an appropriately factorized Hilbert space, a spatial geometry can be defined by associating areas along codimension-one surfaces with the entanglement entropy between either side. We show how Radon transforms can be used to convert this data into a spatial metric. Under a particular set of assumptions, the time evolution of such a state traces out a four-dimensional spacetime geometry, and we argue using a modified version of Jacobson's "entanglement equilibrium" that the geometry should obey Einstein's equation in the weak-field limit. We also discuss how entanglement equilibrium is related to a generalization of the Ryu-Takayanagi formula in more general settings, and how quantum error correction can help specify the emergence map between the full quantum-gravity Hilbert space and the semiclassical limit of quantum fields propagating on a classical spacetime.

[ { "created": "Thu, 7 Dec 2017 19:00:11 GMT", "version": "v1" } ]

2018-04-11

[ [ "Cao", "ChunJun", "" ], [ "Carroll", "Sean M.", "" ] ]

We consider the emergence from quantum entanglement of spacetime geometry in a bulk region. For certain classes of quantum states in an appropriately factorized Hilbert space, a spatial geometry can be defined by associating areas along codimension-one surfaces with the entanglement entropy between either side. We show how Radon transforms can be used to convert this data into a spatial metric. Under a particular set of assumptions, the time evolution of such a state traces out a four-dimensional spacetime geometry, and we argue using a modified version of Jacobson's "entanglement equilibrium" that the geometry should obey Einstein's equation in the weak-field limit. We also discuss how entanglement equilibrium is related to a generalization of the Ryu-Takayanagi formula in more general settings, and how quantum error correction can help specify the emergence map between the full quantum-gravity Hilbert space and the semiclassical limit of quantum fields propagating on a classical spacetime.

7.456034

8.243416

8.895798

8.082317

8.528384

8.240808

8.169333

7.863818

8.254457

8.769779

8.290689

7.887295

7.874218

7.642568

7.79698

7.98875

7.780246

7.418906

7.848125

7.956594

7.515705

hep-th/0312254

H{\aa}kon Enger

H. Enger and C.A. L\"utken

Non-linear Yang-Mills instantons from strings are $\pi$-stable D-branes

v3: Minor revision; 14 pages

Nucl.Phys. B695 (2004) 73-83

10.1016/j.nuclphysb.2004.06.051

null

hep-th

null

We show that B-type $\Pi$-stable D-branes do not in general reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We show that solutions of the almost Hermitian Yang--Mills equations for the non-linear deformations of Yang--Mills instantons that appear in the low-energy geometric limit of strings exist iff they are $\pi$-stable, a geometric large volume version of $\Pi$-stability. This shows that $\pi$-stability is the correct physical stability concept. We speculate that this string-canonical choice of stable objects, which is encoded in and derived from the central charge of the string-\emph{algebra}, should find applications to algebraic geometry where there is no canonical choice of stable \emph{geometrical} objects.

[ { "created": "Sun, 21 Dec 2003 15:54:39 GMT", "version": "v1" }, { "created": "Wed, 14 Apr 2004 14:25:59 GMT", "version": "v2" }, { "created": "Tue, 1 Jun 2004 14:14:53 GMT", "version": "v3" } ]

2009-11-10

[ [ "Enger", "H.", "" ], [ "Lütken", "C. A.", "" ] ]

We show that B-type $\Pi$-stable D-branes do not in general reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We show that solutions of the almost Hermitian Yang--Mills equations for the non-linear deformations of Yang--Mills instantons that appear in the low-energy geometric limit of strings exist iff they are $\pi$-stable, a geometric large volume version of $\Pi$-stability. This shows that $\pi$-stability is the correct physical stability concept. We speculate that this string-canonical choice of stable objects, which is encoded in and derived from the central charge of the string-\emph{algebra}, should find applications to algebraic geometry where there is no canonical choice of stable \emph{geometrical} objects.

11.521212

13.044835

13.474154

12.495158

13.659284

12.750398

14.385866

13.613978

12.590755

16.263168

12.981128

11.442083

12.875967

11.83647

11.273366

11.248355

11.754959

11.519396

11.569495

12.206558

11.430517

2210.14196

Gabriel Wong

Thomas G. Mertens, Joan Sim\'on, Gabriel Wong

A proposal for 3d quantum gravity and its bulk factorization

Revised introduction and summary. Journal version

null

10.1007/JHEP06(2023)134

null

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

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

Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However, little is known about how spacetime emerges directly from the bulk quantum theory. We address this question in an effective 3d quantum theory of pure gravity, which describes the high temperature regime of a holographic CFT. This theory can be viewed as a $q$-deformation and dimensional uplift of JT gravity. Using this model, we show that the Bekenstein-Hawking entropy of a two-sided black hole equals the bulk entanglement entropy of gravitational edge modes. In the conventional Chern-Simons description, these black holes correspond to Wilson lines in representations of $\PSL(2,\mathbb{R})\otimes \PSL(2,\mathbb{R}) $. We show that the correct calculation of gravitational entropy suggests we should interpret the bulk theory as an extended topological quantum field theory associated to the quantum semi-group $\SL^+_{q}(2,\mathbb{R})\otimes \SL^+_{q}(2,\mathbb{R})$. Our calculation suggests an effective description of bulk microstates in terms of collective, anyonic degrees of freedom whose entanglement leads to the emergence of the bulk spacetime.

[ { "created": "Tue, 25 Oct 2022 17:41:25 GMT", "version": "v1" }, { "created": "Wed, 23 Nov 2022 15:59:34 GMT", "version": "v2" }, { "created": "Sun, 12 Mar 2023 01:49:00 GMT", "version": "v3" }, { "created": "Thu, 20 Jul 2023 20:19:50 GMT", "version": "v4" } ]

2023-07-24

[ [ "Mertens", "Thomas G.", "" ], [ "Simón", "Joan", "" ], [ "Wong", "Gabriel", "" ] ]

Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However, little is known about how spacetime emerges directly from the bulk quantum theory. We address this question in an effective 3d quantum theory of pure gravity, which describes the high temperature regime of a holographic CFT. This theory can be viewed as a $q$-deformation and dimensional uplift of JT gravity. Using this model, we show that the Bekenstein-Hawking entropy of a two-sided black hole equals the bulk entanglement entropy of gravitational edge modes. In the conventional Chern-Simons description, these black holes correspond to Wilson lines in representations of $\PSL(2,\mathbb{R})\otimes \PSL(2,\mathbb{R}) $. We show that the correct calculation of gravitational entropy suggests we should interpret the bulk theory as an extended topological quantum field theory associated to the quantum semi-group $\SL^+_{q}(2,\mathbb{R})\otimes \SL^+_{q}(2,\mathbb{R})$. Our calculation suggests an effective description of bulk microstates in terms of collective, anyonic degrees of freedom whose entanglement leads to the emergence of the bulk spacetime.

6.105901

5.908335

6.517443

5.928941

6.059059

5.857509

6.086785

5.969991

5.646842

7.797361

5.879431

5.804071

6.179551

5.815819

5.827755

5.930623

5.790474

6.055338

5.999401

6.259903

5.881331

2202.08127

Xuhang Jiang

Jiaqi Chen, Xuhang Jiang, Chichuan Ma, Xiaofeng Xu, Li Lin Yang

Baikov representations, intersection theory, and canonical Feynman integrals

v2: published version in JHEP

null

10.1007/JHEP07(2022)066

null

hep-th hep-ph

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

The method of canonical differential equations is an important tool in the calculation of Feynman integrals in quantum field theories. It has been realized that the canonical bases are closely related to $d$-dimensional $d\log$-form integrands. In this work, we introduce the concept of generalized loop-by-loop Baikov representation, and clarify its relation and difference with Feynman integrals using the language of intersection theory. We then utilize the generalized Baikov representation to construct $d$-dimensional $d\log$-form integrands, and discuss how to convert them to Feynman integrals. We describe the technical details of our method, in particular how to deal with the difficulties encountered in the construction procedure. Our method provides a constructive approach to the problem of finding canonical bases of Feynman integrals, and we demonstrate its applicability to complicated scattering amplitudes involving multiple physical scales.

[ { "created": "Wed, 16 Feb 2022 15:07:06 GMT", "version": "v1" }, { "created": "Sat, 17 Sep 2022 06:18:22 GMT", "version": "v2" } ]

2022-09-28

[ [ "Chen", "Jiaqi", "" ], [ "Jiang", "Xuhang", "" ], [ "Ma", "Chichuan", "" ], [ "Xu", "Xiaofeng", "" ], [ "Yang", "Li Lin", "" ] ]

The method of canonical differential equations is an important tool in the calculation of Feynman integrals in quantum field theories. It has been realized that the canonical bases are closely related to $d$-dimensional $d\log$-form integrands. In this work, we introduce the concept of generalized loop-by-loop Baikov representation, and clarify its relation and difference with Feynman integrals using the language of intersection theory. We then utilize the generalized Baikov representation to construct $d$-dimensional $d\log$-form integrands, and discuss how to convert them to Feynman integrals. We describe the technical details of our method, in particular how to deal with the difficulties encountered in the construction procedure. Our method provides a constructive approach to the problem of finding canonical bases of Feynman integrals, and we demonstrate its applicability to complicated scattering amplitudes involving multiple physical scales.

7.387788

7.666994

6.834557

6.846309

7.163578

7.187244

7.033174

6.739799

6.790377

7.811837

6.817572

7.133958

6.843606

6.800589

6.856583

7.050832

6.843752

6.92178

6.861368

7.094538

6.813875

2004.04050

Francesco Becattini

F. Becattini (University of Florence)

Polarization in relativistic fluids: a quantum field theoretical derivation

24 pages, 1 figure; version published in Lecture Notes in Physics

null

10.1007/978-3-030-71427-7_2

null

hep-th nucl-th

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

We review the calculation of polarization in a relativistic fluid within the framework of statistical quantum field theory. We derive the expressions of the spin density matrix and the mean spin vector both for a single quantum relativistic particle and for a quantum free field. After introducing the formalism of the covariant Wigner function for the scalar and the Dirac field, the relation between spin density matrix and the covariant Wigner function is obtained. The formula is applied to the fluid produced in relativistic nuclear collisions by using the local thermodynamic equilibrium density operator and recovering previously known formulae. The dependence of these results on the spin tensor and pseudo-gauge transformations of the stress-energy tensor is addressed.

[ { "created": "Tue, 7 Apr 2020 16:30:44 GMT", "version": "v1" }, { "created": "Mon, 1 Jun 2020 17:56:29 GMT", "version": "v2" }, { "created": "Fri, 28 Jul 2023 17:13:56 GMT", "version": "v3" } ]

2023-07-31

[ [ "Becattini", "F.", "", "University of Florence" ] ]

We review the calculation of polarization in a relativistic fluid within the framework of statistical quantum field theory. We derive the expressions of the spin density matrix and the mean spin vector both for a single quantum relativistic particle and for a quantum free field. After introducing the formalism of the covariant Wigner function for the scalar and the Dirac field, the relation between spin density matrix and the covariant Wigner function is obtained. The formula is applied to the fluid produced in relativistic nuclear collisions by using the local thermodynamic equilibrium density operator and recovering previously known formulae. The dependence of these results on the spin tensor and pseudo-gauge transformations of the stress-energy tensor is addressed.

10.643668

10.271562

10.16456

9.694683

10.67758

10.377531

11.449034

10.16443

10.778955

11.23293

10.177835

10.60484

10.680631

10.350139

10.252476

10.515025

10.386044

10.61632

10.378144

10.684721

10.614973

1101.1524

Stephen G. Naculich

Stephen G. Naculich and Howard J. Schnitzer

Eikonal methods applied to gravitational scattering amplitudes

16 pages, 3 figures; v2: title change and minor rewording (published version); v3: typos corrected in eqs.(3.2),(4.1)

null

10.1007/JHEP05(2011)087

BOW-PH-148, BRX-TH-628

hep-th gr-qc hep-ph

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

We apply factorization and eikonal methods from gauge theories to scattering amplitudes in gravity. We hypothesize that these amplitudes factor into an IR-divergent soft function and an IR-finite hard function, with the former given by the expectation value of a product of gravitational Wilson line operators. Using this approach, we show that the IR-divergent part of the n-graviton scattering amplitude is given by the exponential of the one-loop IR divergence, as originally discovered by Weinberg, with no additional subleading IR-divergent contributions in dimensional regularization.

[ { "created": "Fri, 7 Jan 2011 21:01:35 GMT", "version": "v1" }, { "created": "Tue, 17 May 2011 17:13:53 GMT", "version": "v2" }, { "created": "Mon, 24 Jun 2013 19:37:29 GMT", "version": "v3" } ]

2015-05-20

[ [ "Naculich", "Stephen G.", "" ], [ "Schnitzer", "Howard J.", "" ] ]

We apply factorization and eikonal methods from gauge theories to scattering amplitudes in gravity. We hypothesize that these amplitudes factor into an IR-divergent soft function and an IR-finite hard function, with the former given by the expectation value of a product of gravitational Wilson line operators. Using this approach, we show that the IR-divergent part of the n-graviton scattering amplitude is given by the exponential of the one-loop IR divergence, as originally discovered by Weinberg, with no additional subleading IR-divergent contributions in dimensional regularization.

7.126027

7.039156

6.743091

6.029915

6.224435

6.413216

6.557802

5.7223

6.170557

7.6135

6.666125

6.286508

6.605323

6.126828

5.987504

6.79383

6.217382

6.543488

6.043295

6.522005

6.398529

1304.5172

Michal P. Heller

Michal P. Heller, David Mateos, Wilke van der Schee and Miquel Triana

Holographic isotropization linearized

30 pages, 14 figures; v2: minor changes in the text, matches the published version

JHEP 1309:026, 2013

10.1007/JHEP09(2013)026

null

hep-th gr-qc

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

The holographic isotropization of a highly anisotropic, homogeneous, strongly coupled, non-Abelian plasma was simplified in arXiv:1202.0981 by linearizing Einstein's equations around the final, equilibrium state. This approximation reproduces the expectation value of the boundary stress tensor with a 20% accuracy. Here we elaborate on these results and extend them to observables that are directly sensitive to the bulk interior, focusing for simplicity on the entropy production on the event horizon. We also consider next-to-leading-order corrections and show that the leading terms alone provide a better description of the isotropization process for the states that are furthest from equilibrium.

[ { "created": "Thu, 18 Apr 2013 16:04:09 GMT", "version": "v1" }, { "created": "Tue, 10 Sep 2013 08:01:46 GMT", "version": "v2" } ]

2013-09-11

[ [ "Heller", "Michal P.", "" ], [ "Mateos", "David", "" ], [ "van der Schee", "Wilke", "" ], [ "Triana", "Miquel", "" ] ]

The holographic isotropization of a highly anisotropic, homogeneous, strongly coupled, non-Abelian plasma was simplified in arXiv:1202.0981 by linearizing Einstein's equations around the final, equilibrium state. This approximation reproduces the expectation value of the boundary stress tensor with a 20% accuracy. Here we elaborate on these results and extend them to observables that are directly sensitive to the bulk interior, focusing for simplicity on the entropy production on the event horizon. We also consider next-to-leading-order corrections and show that the leading terms alone provide a better description of the isotropization process for the states that are furthest from equilibrium.

10.590925

10.207318

11.507219

10.007394

11.041182

9.943689

9.677705

9.648349

9.77256

12.465579

9.838843

10.387365

10.919263

10.299151

10.103077

10.315311

10.887161

10.296717

10.223475

10.992469

10.473953

1306.3071

Huaifan Li

Huai-Fan Li

Further studies on holographic insulator/superconductor phase transitions from Sturm-Liouville eigenvalue problems

16 page, 4 figures, minor corrections made and Refs. added

Journal High Energy Physics, 2013, (1107): 135

10.1007/JHEP07(2013)135

null

hep-th gr-qc

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

We take advantage of the Sturm-Liouville eigenvalue problem to analytically study the holographic insulator/superconductor phase transition in the probe limit. The interesting point is that this analytical method can not only estimate the most stable mode of the phase transition, but also the second stable mode. We find that this analytical method perfectly matches with other numerical methods, such as the shooting method. Besides, we argue that only Dirichlet boundary condition of the trial function is enough under certain circumstances, which will lead to a more precise estimation. This relaxation for the boundary condition of the trial function is first observed in this paper as far as we know.

[ { "created": "Thu, 13 Jun 2013 10:40:41 GMT", "version": "v1" }, { "created": "Mon, 17 Jun 2013 09:21:50 GMT", "version": "v2" }, { "created": "Tue, 2 Jul 2013 10:13:33 GMT", "version": "v3" } ]

2013-08-26

[ [ "Li", "Huai-Fan", "" ] ]

We take advantage of the Sturm-Liouville eigenvalue problem to analytically study the holographic insulator/superconductor phase transition in the probe limit. The interesting point is that this analytical method can not only estimate the most stable mode of the phase transition, but also the second stable mode. We find that this analytical method perfectly matches with other numerical methods, such as the shooting method. Besides, we argue that only Dirichlet boundary condition of the trial function is enough under certain circumstances, which will lead to a more precise estimation. This relaxation for the boundary condition of the trial function is first observed in this paper as far as we know.

8.748509

7.7806

8.011455

7.491338

7.848059

7.998059

7.729329

7.933553

7.708702

8.737962

7.817112

7.851353

7.98846

7.898034

7.896936

7.881607

7.88247

7.529626

8.007515

8.101843

8.035414

2309.12869

Daniel Baldwin Mr

Bobby Samir Acharya, Daniel Andrew Baldwin

Coulomb and Higgs Phases of $G_2$-manifolds

22 pages

null

hep-th math.DG

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

Ricci flat manifolds of special holonomy are a rich framework as models of the extra dimensions in string/$M$-theory. At special points in vacuum moduli space, special kinds of singularities occur and demand a physical interpretation. In this paper we show that the topologically distinct $G_2$-holonomy manifolds arising from desingularisations of codimension four orbifold singularities due to Joyce and Karigiannis correspond physically to Coulomb and Higgs phases of four dimensional gauge theories. The results suggest generalisations of the Joyce-Karigiannis construction to arbitrary ADE-singularities and higher order twists which we explore in detail in explicitly solvable local models. These models allow us to derive an isomorphism between moduli spaces of Ricci flat metrics on these non-compact $G_2$-manifolds and flat ADE-connections on compact flat 3-manifolds which we establish explicitly for $\operatorname{SU}(n)$.

[ { "created": "Fri, 22 Sep 2023 13:46:46 GMT", "version": "v1" } ]

2023-09-25

[ [ "Acharya", "Bobby Samir", "" ], [ "Baldwin", "Daniel Andrew", "" ] ]

Ricci flat manifolds of special holonomy are a rich framework as models of the extra dimensions in string/$M$-theory. At special points in vacuum moduli space, special kinds of singularities occur and demand a physical interpretation. In this paper we show that the topologically distinct $G_2$-holonomy manifolds arising from desingularisations of codimension four orbifold singularities due to Joyce and Karigiannis correspond physically to Coulomb and Higgs phases of four dimensional gauge theories. The results suggest generalisations of the Joyce-Karigiannis construction to arbitrary ADE-singularities and higher order twists which we explore in detail in explicitly solvable local models. These models allow us to derive an isomorphism between moduli spaces of Ricci flat metrics on these non-compact $G_2$-manifolds and flat ADE-connections on compact flat 3-manifolds which we establish explicitly for $\operatorname{SU}(n)$.

9.982503

10.67308

11.106717

10.087448

10.235994

10.501333

10.2655

10.75558

10.044517

11.405633

9.377327

9.142122

9.738024

9.324808

9.657069

9.32273

9.244476

9.530697

9.548676

9.713309

9.293777

2305.06034

Leonardo Castellani

Leonardo Castellani and Pietro Antonio Grassi

Hodge Duality and Supergravity

30 pages, LaTeX

null

hep-th math-ph math.MP

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

The Hodge dual operator, recently introduced for supermanifolds, is used to reformulate super Yang-Mills and supergravity in $D=4$. We first recall the definition of the Hodge dual operator for flat and curved supermanifolds. Then we show how to recover the usual super-Yang-Mills equations of motion for $N=1,2$ supersymmetry, and the obstacles (as seen from Hodge dual point of view) in the case $N \geq 3$. We reconsider several ingredients of supergeometry, relevant for a superspace formulation of supergravity, in terms of the Hodge dual operator. Finally we discuss how $D=4$ and $N=1$ supergravity is obtained in this framework.

[ { "created": "Wed, 10 May 2023 10:35:15 GMT", "version": "v1" } ]

2023-05-11

[ [ "Castellani", "Leonardo", "" ], [ "Grassi", "Pietro Antonio", "" ] ]

The Hodge dual operator, recently introduced for supermanifolds, is used to reformulate super Yang-Mills and supergravity in $D=4$. We first recall the definition of the Hodge dual operator for flat and curved supermanifolds. Then we show how to recover the usual super-Yang-Mills equations of motion for $N=1,2$ supersymmetry, and the obstacles (as seen from Hodge dual point of view) in the case $N \geq 3$. We reconsider several ingredients of supergeometry, relevant for a superspace formulation of supergravity, in terms of the Hodge dual operator. Finally we discuss how $D=4$ and $N=1$ supergravity is obtained in this framework.

6.849924

6.128812

7.269944

6.386047

6.817352

6.187472

6.403456

6.2804

6.36783

7.07425

6.244109

6.540175

6.738587

6.583901

6.675992

6.529236

6.629744

6.491028

6.322673

6.69881

6.416885

hep-th/9612179

Reinhold W. Gebert

R. W. Gebert (IAS, Princeton, U.S.A.)

Beyond the Frenkel-Kac-Segal construction of affine Lie algebras

6 pages, LaTeX209 with twoside, fleqn, amsmath, amsfonts, amssymb, amsthm style files; contribution to Proceedings of the 30th Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, August 27-31, 1996

Nucl.Phys.Proc.Suppl. 56B (1997) 263-268

10.1016/S0920-5632(97)00334-4

null

hep-th

null

This contribution reviews recent progress in constructing affine Lie algebras at arbitrary level in terms of vertex operators. The string model describes a completely compactified subcritical chiral bosonic string whose momentum lattice is taken to be the (Lorentzian) affine weight lattice. The main feature of the new realization is the replacement of the ordinary string oscillators by physical DDF operators, whereas the unphysical position operators are substituted by certain linear combinations of the Lorentz generators. As a side result we obtain simple expressions for the affine Weyl translations as Lorentz boosts. Various applications of the construction are discussed.

[ { "created": "Tue, 17 Dec 1996 15:57:13 GMT", "version": "v1" } ]

2009-10-30

[ [ "Gebert", "R. W.", "", "IAS, Princeton, U.S.A." ] ]

This contribution reviews recent progress in constructing affine Lie algebras at arbitrary level in terms of vertex operators. The string model describes a completely compactified subcritical chiral bosonic string whose momentum lattice is taken to be the (Lorentzian) affine weight lattice. The main feature of the new realization is the replacement of the ordinary string oscillators by physical DDF operators, whereas the unphysical position operators are substituted by certain linear combinations of the Lorentz generators. As a side result we obtain simple expressions for the affine Weyl translations as Lorentz boosts. Various applications of the construction are discussed.

16.242752

13.537473

17.77951

14.177346

13.702363

14.536388

14.895205

13.168664

12.793029

18.768213

13.920729

14.269014

15.842781

13.814178

14.826949

14.474307

14.543464

13.905625

13.63753

14.382319

14.425381

1508.01116

Stephan Stieberger

Stephan Stieberger, Tomasz R. Taylor

Subleading Terms in the Collinear Limit of Yang-Mills Amplitudes

8 pages

null

10.1016/j.physletb.2015.09.075

MPP-2015-183

hep-th hep-ph

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

For two massless particles i and j, the collinear limit is a special kinematic configuration in which the particles propagate with parallel four-momentum vectors, with the total momentum P distributed as p_i=xP and p_j=(1-x)P, so that s_{ij}=(p_i+p_j)^2=P^2=0. In Yang-Mills theory, if i and j are among N gauge bosons participating in a scattering process, it is well known that the partial amplitudes associated to the (single trace) group factors with adjacent i and j are singular in the collinear limit and factorize at the leading order into N-1-particle amplitudes times the universal, x-dependent Altarelli-Parisi factors. We give a precise definition of the collinear limit and show that at the tree level, the subleading, non-singular terms are related to the amplitudes with a single graviton inserted instead of two collinear gauge bosons. To that end, we argue that in one-graviton Einstein-Yang-Mills amplitudes, the graviton with momentum P can be replaced by a pair of collinear gauge bosons carrying arbitrary momentum fractions xP and (1-x)P.

[ { "created": "Wed, 5 Aug 2015 16:12:59 GMT", "version": "v1" } ]

2015-10-14

[ [ "Stieberger", "Stephan", "" ], [ "Taylor", "Tomasz R.", "" ] ]

For two massless particles i and j, the collinear limit is a special kinematic configuration in which the particles propagate with parallel four-momentum vectors, with the total momentum P distributed as p_i=xP and p_j=(1-x)P, so that s_{ij}=(p_i+p_j)^2=P^2=0. In Yang-Mills theory, if i and j are among N gauge bosons participating in a scattering process, it is well known that the partial amplitudes associated to the (single trace) group factors with adjacent i and j are singular in the collinear limit and factorize at the leading order into N-1-particle amplitudes times the universal, x-dependent Altarelli-Parisi factors. We give a precise definition of the collinear limit and show that at the tree level, the subleading, non-singular terms are related to the amplitudes with a single graviton inserted instead of two collinear gauge bosons. To that end, we argue that in one-graviton Einstein-Yang-Mills amplitudes, the graviton with momentum P can be replaced by a pair of collinear gauge bosons carrying arbitrary momentum fractions xP and (1-x)P.

7.505596

9.293163

8.341603

7.723123

7.810201

8.659662

8.58446

7.766686

7.653235

8.86956

7.266991

7.236629

7.258052

7.167587

7.043257

7.215648

7.354051

7.318699

7.211598

7.465014

7.035938

hep-th/0002044

Daniela

Daniela Bigatti and Leonard Susskind

TASI lectures on the Holographic Principle

LaTex, 37 pages + 20 figures in .eps format (embedded in the paper)

null

10.1142/9789812799630_0012

SU-ITP 99-14, KUL-TF-2000/03

hep-th

null

These TASI lectures review the Holographic principle. The first lecture describes the puzzle of black hole information loss that led to the idea of Black Hole Complementarity and subsequently to the Holographic Principle itself. The second lecture discusses the holographic entropy bound in general space-times. The final two lectures are devoted to the ADS/CFT duality as a special case of the principle. The presentation is self contained and emphasizes the physical principles. Very little technical knowledge of string theory or supergravity is assumed.

[ { "created": "Sat, 5 Feb 2000 23:36:12 GMT", "version": "v1" } ]

2017-08-23

[ [ "Bigatti", "Daniela", "" ], [ "Susskind", "Leonard", "" ] ]

These TASI lectures review the Holographic principle. The first lecture describes the puzzle of black hole information loss that led to the idea of Black Hole Complementarity and subsequently to the Holographic Principle itself. The second lecture discusses the holographic entropy bound in general space-times. The final two lectures are devoted to the ADS/CFT duality as a special case of the principle. The presentation is self contained and emphasizes the physical principles. Very little technical knowledge of string theory or supergravity is assumed.

8.036196

7.104685

7.313946

7.329018

7.383759

7.450448

7.066199

6.840116

7.110831

8.42054

6.819264

7.304338

7.21623

6.893213

6.870398

7.26271

6.932679

7.007105

6.97105

7.217451

6.523415

1403.0786

A. Yu. Petrov

J. R. Nascimento, A. Yu. Petrov, C. Wotzasek, C. A. D. Zarro

Three-dimensional Lorentz-violating action

12 pages, accepted to PRD

Phys. Rev. D 89, 065030 (2014)

10.1103/PhysRevD.89.065030

null

hep-th

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

We demonstrate the generation of the three-dimensional Chern-Simons-like Lorentz-breaking ``mixed" quadratic action via an appropriate Lorentz-breaking coupling of vector and scalar fields to the spinor field and study some features of the scalar QED with such a term. We show that the same term emerges through a nonpertubative method, namely the Julia-Toulouse approach of condensation of charges and defects.

[ { "created": "Tue, 4 Mar 2014 13:37:53 GMT", "version": "v1" } ]

2014-04-29

[ [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "Wotzasek", "C.", "" ], [ "Zarro", "C. A. D.", "" ] ]

We demonstrate the generation of the three-dimensional Chern-Simons-like Lorentz-breaking ``mixed" quadratic action via an appropriate Lorentz-breaking coupling of vector and scalar fields to the spinor field and study some features of the scalar QED with such a term. We show that the same term emerges through a nonpertubative method, namely the Julia-Toulouse approach of condensation of charges and defects.

21.533543

11.916533

21.344765

16.561811

14.521012

14.733899

14.67916

14.671134

14.01779

23.044582

14.214025

17.639187

19.525009

18.207685

16.419632

17.210556

16.77347

16.969023

17.418867

18.860044

18.148941

hep-th/9711094

Sunil Mukhi

Keshav Dasgupta and Sunil Mukhi

BPS Nature of 3-String Junctions

7 pages, harvmac (b), 3 figures

Phys.Lett. B423 (1998) 261-264

10.1016/S0370-2693(98)00140-3

TIFR/TH/97-58

hep-th

null

We study BPS-saturated classical solutions for the world-sheet theory of a D-string in the presence of a point charge. These solutions are interpreted as describing planar 3-string junctions, which arise because the original D-string is deformed by the presence of the inserted charge. We compute the angles of the junctions and show that the vector sum of string tensions is zero, confirming a conjecture of Schwarz that such configurations are BPS states.

[ { "created": "Thu, 13 Nov 1997 10:54:24 GMT", "version": "v1" } ]

2009-10-30

[ [ "Dasgupta", "Keshav", "" ], [ "Mukhi", "Sunil", "" ] ]

We study BPS-saturated classical solutions for the world-sheet theory of a D-string in the presence of a point charge. These solutions are interpreted as describing planar 3-string junctions, which arise because the original D-string is deformed by the presence of the inserted charge. We compute the angles of the junctions and show that the vector sum of string tensions is zero, confirming a conjecture of Schwarz that such configurations are BPS states.

11.21885

10.836978

11.794289

10.058368

9.702364

9.895741

9.339152

10.463859

10.660408

12.073875

9.812943

10.406173

11.355525

9.852184

9.972541

10.554153

10.180533

9.925641

10.223711

10.909531

9.915251

hep-th/0211282

Konishi

Roberto Auzzi (Scuola Normale Superiore, Pisa), Roberto Grena (Univ. Pisa), Kenichi Konishi (Univ. Pisa)

Almost Conformal Vacua and Confinement

27 pages, 11 figures, LaTex file

Nucl.Phys. B653 (2003) 204-226

10.1016/S0550-3213(03)00046-4

IFUP-TH 2002/46

hep-th

null

Dynamics of confining vacua which appear as deformed superconformal theory with a non-Abelian gauge symmetry, is studied by taking a concrete example of the sextet vacua of ${\cal N}=2$, SU(3) gauge theory with $n_f=4$, with equal quark masses. We show that the low-energy "matter" degrees of freedom of this theory consist of four magnetic monopole doublets of the low-energy effective SU(2) gauge group, one dyon doublet, and one electric doublet. We find a mechanism of cancellation of the beta function, which naturally but nontrivially generalizes that of Argyres-Douglas. Study of our SCFT theory as a limit of six colliding ${\cal N}=1$ vacua, suggests that the confinement in the present theory occurs in an essentially different manner from those vacua with dynamical Abelianization, and involves strongly interacting non-Abelian magnetic monopoles.

[ { "created": "Thu, 28 Nov 2002 17:04:33 GMT", "version": "v1" } ]

2010-04-05

[ [ "Auzzi", "Roberto", "", "Scuola Normale Superiore, Pisa" ], [ "Grena", "Roberto", "", "Univ.\n Pisa" ], [ "Konishi", "Kenichi", "", "Univ. Pisa" ] ]

Dynamics of confining vacua which appear as deformed superconformal theory with a non-Abelian gauge symmetry, is studied by taking a concrete example of the sextet vacua of ${\cal N}=2$, SU(3) gauge theory with $n_f=4$, with equal quark masses. We show that the low-energy "matter" degrees of freedom of this theory consist of four magnetic monopole doublets of the low-energy effective SU(2) gauge group, one dyon doublet, and one electric doublet. We find a mechanism of cancellation of the beta function, which naturally but nontrivially generalizes that of Argyres-Douglas. Study of our SCFT theory as a limit of six colliding ${\cal N}=1$ vacua, suggests that the confinement in the present theory occurs in an essentially different manner from those vacua with dynamical Abelianization, and involves strongly interacting non-Abelian magnetic monopoles.

11.501282

10.946011

13.365753

11.780383

10.933764

12.958317

11.719408

10.858858

11.172815

13.003074

10.817826

10.529392

11.46629

10.5512

10.980174

10.709079

10.437814

10.995614

10.309735

11.395825

10.594958

hep-th/9608078

Jan De Boer

Jan de Boer and Kostas Skenderis

Covariant Computation of the Low Energy Effective Action of the Heterotic Superstring

59 pages, LaTeX, with two figures (needs epsfig)

Nucl.Phys. B481 (1996) 129-187

10.1016/S0550-3213(96)90127-3

ITP-SB-96-40

hep-th

null

We derive the low energy effective action of the heterotic superstring in superspace. This is achieved by coupling the covariantly quantized Green-Schwarz superstring of Berkovits to a curved background and requiring that the sigma model has superconformal invariance at tree level and at one loop in $\a'$. Tree level superconformal invariance yields the complete supergravity algebra, and one-loop superconformal invariance the equations of motion of the low energy theory. The resulting low energy theory is old-minimal supergravity coupled to a tensor multiplet. The dilaton is part of the compensator multiplet.

[ { "created": "Mon, 12 Aug 1996 21:29:06 GMT", "version": "v1" } ]

2015-06-26

[ [ "de Boer", "Jan", "" ], [ "Skenderis", "Kostas", "" ] ]

We derive the low energy effective action of the heterotic superstring in superspace. This is achieved by coupling the covariantly quantized Green-Schwarz superstring of Berkovits to a curved background and requiring that the sigma model has superconformal invariance at tree level and at one loop in $\a'$. Tree level superconformal invariance yields the complete supergravity algebra, and one-loop superconformal invariance the equations of motion of the low energy theory. The resulting low energy theory is old-minimal supergravity coupled to a tensor multiplet. The dilaton is part of the compensator multiplet.

5.964283

5.036836

7.519823

5.694992

5.291825

5.171805

5.164986

5.060542

5.14702

7.052267

5.268609

5.577368

6.144569

5.495947

5.602484

5.731642

5.642006

5.710351

5.420452

6.14896

5.464149

hep-th/9212112

null

A. Brandhuber, M. Langer, M. Schweda, O. Piguet and S.P. Sorella

A short comment on the supersymmetric structure of Chern-Simons theory in the axial gauge

7 pages, LATEX, UGVA---DPT 1992/11--793

Phys.Lett. B300 (1993) 92-95

10.1016/0370-2693(93)90753-5

null

hep-th

null

The topological supersymmetry of the pure Chern-Simons model in three dimensions is established in the case where the theory is defined in the axial gauge.

[ { "created": "Fri, 18 Dec 1992 13:00:14 GMT", "version": "v1" } ]

2009-10-22

[ [ "Brandhuber", "A.", "" ], [ "Langer", "M.", "" ], [ "Schweda", "M.", "" ], [ "Piguet", "O.", "" ], [ "Sorella", "S. P.", "" ] ]

The topological supersymmetry of the pure Chern-Simons model in three dimensions is established in the case where the theory is defined in the axial gauge.

12.086568

8.746545

12.176292

10.803936

9.841871

9.611643

9.819151

9.325805

8.696755

14.377557

9.059837

9.96023

10.430564

9.525742

9.506222

9.678547

9.416985

9.298071

9.557317

10.281882

9.701272

hep-th/0106147

Dr. Bikash Chandra Paul

B. C. Paul (North Bengal University) and S. Chakraborty (Jadavpur University)

Inflaton Field and Primordial Blackhole

5 pages, LaTeX, Submitted to Int. J. Mod. Phys. D

Int.J.Mod.Phys. D11 (2002) 1435-1438

10.1142/S0218271802002293

null

hep-th

null

Primordial black hole formation has been studied using an inflaton field with a variable cosmological term as the potential.

[ { "created": "Sun, 17 Jun 2001 04:02:46 GMT", "version": "v1" } ]

2015-06-25

[ [ "Paul", "B. C.", "", "North Bengal University" ], [ "Chakraborty", "S.", "", "Jadavpur\n University" ] ]

Primordial black hole formation has been studied using an inflaton field with a variable cosmological term as the potential.

29.088642

14.943292

13.197883

13.599556

12.848551

14.103148

16.300226

13.842193

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hep-th/0401197

Akikazu Hashimoto

Akikazu Hashimoto and Leopoldo Pando Zayas

Correspondence Principle for Black Holes in Plane Waves

20 pages, References Added

JHEP 0403:014,2004

10.1088/1126-6708/2004/03/014

MAD-TH-04-1, MCTP-04-04

hep-th

null

We compare the entropy as a function of energy of excited strings and black strings in an asymptotically plane wave background at the level of the correspondence principle. For the plane wave supported by the NSNS 3-form flux, neither the entropy formula nor the cross-over scale is affected by the presence of the flux and the correspondence is found to hold. For the plane wave supported by the RR 3-form flux, both the entropy and the cross-over point are modified, but the correspondence is still found to hold.

[ { "created": "Mon, 26 Jan 2004 17:32:52 GMT", "version": "v1" }, { "created": "Wed, 21 Apr 2004 22:06:42 GMT", "version": "v2" } ]

2010-02-03

[ [ "Hashimoto", "Akikazu", "" ], [ "Zayas", "Leopoldo Pando", "" ] ]

We compare the entropy as a function of energy of excited strings and black strings in an asymptotically plane wave background at the level of the correspondence principle. For the plane wave supported by the NSNS 3-form flux, neither the entropy formula nor the cross-over scale is affected by the presence of the flux and the correspondence is found to hold. For the plane wave supported by the RR 3-form flux, both the entropy and the cross-over point are modified, but the correspondence is still found to hold.

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