LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1204.4482

Max Atkin

Max R. Atkin, Stefan Zohren

FZZT Brane Relations in the Presence of Boundary Magnetic Fields

23 pages, 5 figures (3 new). Two new sections added giving examples of the construction. Explanations clarified. Minor changes to the conclusion but main results unchanged. Matches published version

JHEP 1211 (2012) 163

10.1007/JHEP11(2012)163

null

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

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

We show how a boundary state different from the (1,1) Cardy state may be realised in the (m,m+1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural generalisation of the free spin boundary state in the Ising model. The resolvent for the auxiliary matrix is computed using an extension of the saddle-point method of Zinn-Justin to the case of non-identical potentials. The structure of the saddle-point equations result in a Seiberg-Shih like relation between the boundary states which is valid away from the continuum limit, in addition to an expression for the spectral curve of the free spin boundary state. We then show how the technique may be used to analyse boundary states corresponding to a boundary magnetic field, thereby allowing us to generalise the work of Carroll et al. on the boundary renormalisation flow of the Ising model, to any (m,m+1) model.

[ { "created": "Thu, 19 Apr 2012 21:49:54 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2012 09:49:18 GMT", "version": "v2" } ]

2012-12-18

[ [ "Atkin", "Max R.", "" ], [ "Zohren", "Stefan", "" ] ]

We show how a boundary state different from the (1,1) Cardy state may be realised in the (m,m+1) minimal string by the introduction of an auxiliary matrix into the standard two hermitian matrix model. This boundary is a natural generalisation of the free spin boundary state in the Ising model. The resolvent for the auxiliary matrix is computed using an extension of the saddle-point method of Zinn-Justin to the case of non-identical potentials. The structure of the saddle-point equations result in a Seiberg-Shih like relation between the boundary states which is valid away from the continuum limit, in addition to an expression for the spectral curve of the free spin boundary state. We then show how the technique may be used to analyse boundary states corresponding to a boundary magnetic field, thereby allowing us to generalise the work of Carroll et al. on the boundary renormalisation flow of the Ising model, to any (m,m+1) model.

9.425816

9.608599

10.750955

9.237244

9.887367

10.015111

9.782141

9.169666

9.527077

11.751756

9.362351

9.265812

9.837438

9.09071

9.094718

9.439519

9.105773

9.113976

9.113839

9.670785

9.092741

1104.4804

Elena M. Murchikova

E. M. Murchikova

Splitting of folded strings in AdS_3

18 pages, 2 figures; v2: typos corrected

Phys.Rev.D84:026002,2011

10.1103/PhysRevD.84.026002

Imperial-TP-EM-2011-01

hep-th

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

In this paper we present semiclassical computations of the splitting of folded spinning strings in AdS_3, which may be of interest in the context of AdS/CFT duality. We start with a classical closed string and assume that it can split on two closed string fragments, if at a given time two points on it coincide in target space and their velocities agree. First we consider the case of the folded string with large spin. Assuming the formal large-spin approximation of the folded string solution in AdS_3, we can completely describe the process of splitting: compute the full set of charges and obtain the string solutions describing the evolution of the final states. We find that, in this limit, the world surface does not change in the process and the final states are described by the solutions of the same type as the initial string, i.e. the formal large-spin approximation of the folded string in AdS_3. Then we consider the general case --- splitting of string given by the exact folded string solution. We find the expressions for the charges of the final fragments, the coordinate transformations diagonalizing them and, finally, their energies and spins. Due to the complexity of the initial string profile, we cannot find the solutions describing the evolution of the final fragments, but we can predict their qualitative behavior. We also generalize the results to include circular rotations and windings in S^5.

[ { "created": "Mon, 25 Apr 2011 20:34:48 GMT", "version": "v1" }, { "created": "Mon, 20 Jun 2011 09:53:10 GMT", "version": "v2" } ]

2015-03-19

[ [ "Murchikova", "E. M.", "" ] ]

In this paper we present semiclassical computations of the splitting of folded spinning strings in AdS_3, which may be of interest in the context of AdS/CFT duality. We start with a classical closed string and assume that it can split on two closed string fragments, if at a given time two points on it coincide in target space and their velocities agree. First we consider the case of the folded string with large spin. Assuming the formal large-spin approximation of the folded string solution in AdS_3, we can completely describe the process of splitting: compute the full set of charges and obtain the string solutions describing the evolution of the final states. We find that, in this limit, the world surface does not change in the process and the final states are described by the solutions of the same type as the initial string, i.e. the formal large-spin approximation of the folded string in AdS_3. Then we consider the general case --- splitting of string given by the exact folded string solution. We find the expressions for the charges of the final fragments, the coordinate transformations diagonalizing them and, finally, their energies and spins. Due to the complexity of the initial string profile, we cannot find the solutions describing the evolution of the final fragments, but we can predict their qualitative behavior. We also generalize the results to include circular rotations and windings in S^5.

10.170074

10.850729

10.762416

10.049283

10.109826

9.650288

10.582444

9.921886

9.955931

11.535628

9.558228

9.573927

9.606586

9.719788

9.743254

9.57421

9.603095

9.518825

9.40637

9.860038

9.694198

1908.08514

Ibrahim Akal

Reflections on Virasoro circuit complexity and Berry phase

32 pages

null

hep-th quant-ph

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

Recently, the notion of circuit complexity defined in symmetry group manifolds has been related to geometric actions which generally arise in the coadjoint orbit method in representation theory and play an important role in geometric quantization. On the other hand, it is known that there exists a precise relation between geometric actions and Berry phases defined in group representations. Motivated by these connections, we elaborate on a relation between circuit complexity and the group theoretic Berry phase. As the simplest setup relevant for holography, we discuss the case of two dimensional conformal field theories. In the large central charge limit, we identify the computational cost function with the Berry connection in the unitary representation of the Virasoro group. We then use the latter identification to express the Berry phase in terms of the Virasoro circuit complexity. The former can be seen as the holonomy of the Berry connection along the path in the group manifold which defines the protocol. In addition, we derive a proportionality relation between Virasoro circuit complexity and the logarithm of the inner product between a particularly chosen reference state and the prepared target state. In this sense, the logarithmic formula turns out to be approximating the complexity up to some additive constant if the building blocks of the circuit are taken to be the underlying symmetry gates. Predictions based on this formula have recently been shown to coincide with the holographic complexity proposals and the path integral optimization procedure. The found connections may therefore help to better understand such coincidences. We also discuss that our findings, put together with earlier observations, may suggest a connection between the Virasoro Berry phase and the complexity measure in the path integral optimization proposal.

[ { "created": "Thu, 22 Aug 2019 17:46:13 GMT", "version": "v1" } ]

2019-08-23

[ [ "Akal", "Ibrahim", "" ] ]

Recently, the notion of circuit complexity defined in symmetry group manifolds has been related to geometric actions which generally arise in the coadjoint orbit method in representation theory and play an important role in geometric quantization. On the other hand, it is known that there exists a precise relation between geometric actions and Berry phases defined in group representations. Motivated by these connections, we elaborate on a relation between circuit complexity and the group theoretic Berry phase. As the simplest setup relevant for holography, we discuss the case of two dimensional conformal field theories. In the large central charge limit, we identify the computational cost function with the Berry connection in the unitary representation of the Virasoro group. We then use the latter identification to express the Berry phase in terms of the Virasoro circuit complexity. The former can be seen as the holonomy of the Berry connection along the path in the group manifold which defines the protocol. In addition, we derive a proportionality relation between Virasoro circuit complexity and the logarithm of the inner product between a particularly chosen reference state and the prepared target state. In this sense, the logarithmic formula turns out to be approximating the complexity up to some additive constant if the building blocks of the circuit are taken to be the underlying symmetry gates. Predictions based on this formula have recently been shown to coincide with the holographic complexity proposals and the path integral optimization procedure. The found connections may therefore help to better understand such coincidences. We also discuss that our findings, put together with earlier observations, may suggest a connection between the Virasoro Berry phase and the complexity measure in the path integral optimization proposal.

9.397686

9.705975

10.298398

9.591757

9.988906

9.689375

10.295098

9.021955

9.38672

11.165668

9.482097

9.165115

9.457159

8.98898

9.12322

9.397507

9.20785

8.800894

8.951009

9.411798

9.024755

1108.6331

David Turton

Stefano Giusto, Rodolfo Russo, David Turton

New D1-D5-P geometries from string amplitudes

48 pages, 2 figures, v2: typos corrected

JHEP11(2011)062

10.1007/JHEP11(2011)062

DFPD-11-TH-14, QMUL-PH-11-12

hep-th

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

We derive the long range supergravity fields sourced by a D1-D5-P bound state from disk amplitudes for massless closed string emission. We suggest that since the parameter controlling the string perturbation expansion for this calculation decreases with distance from the bound state, the resulting asymptotic fields are valid even in the regime of parameters in which there is a classical black hole solution with the same charges. The supergravity fields differ from the black hole solution by multipole moments and are more general than those contained within known classes of solutions in the literature, whilst still preserving four supersymmetries. Our results support the conjecture that the black hole solution should be interpreted as a coarse-grained description rather than an exact description of the gravitational field sourced by D1-D5-P bound states in this regime of parameters.

[ { "created": "Wed, 31 Aug 2011 19:59:41 GMT", "version": "v1" }, { "created": "Thu, 24 Nov 2011 16:18:58 GMT", "version": "v2" } ]

2011-11-28

[ [ "Giusto", "Stefano", "" ], [ "Russo", "Rodolfo", "" ], [ "Turton", "David", "" ] ]

We derive the long range supergravity fields sourced by a D1-D5-P bound state from disk amplitudes for massless closed string emission. We suggest that since the parameter controlling the string perturbation expansion for this calculation decreases with distance from the bound state, the resulting asymptotic fields are valid even in the regime of parameters in which there is a classical black hole solution with the same charges. The supergravity fields differ from the black hole solution by multipole moments and are more general than those contained within known classes of solutions in the literature, whilst still preserving four supersymmetries. Our results support the conjecture that the black hole solution should be interpreted as a coarse-grained description rather than an exact description of the gravitational field sourced by D1-D5-P bound states in this regime of parameters.

9.350424

7.975633

10.8164

8.102337

9.043111

8.498592

8.25737

8.647986

8.493291

10.906135

8.409851

8.681546

9.41973

8.546123

8.787882

8.576124

8.780738

8.404359

8.422401

9.402887

8.814672

2011.08231

Raquel Santos

Enrique Alvarez, Jesus Anero and Raquel Santos-Garcia

Weighing the Vacuum Energy

32 pages. Minor corrections

Phys. Rev. D 103, 084032 (2021)

10.1103/PhysRevD.103.084032

null

hep-th gr-qc

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

We discuss the weight of vacuum energy in various contexts. First, we compute the vacuum energy for flat spacetimes of the form $\mathbb{T}^3 \times \mathbb{R}$, where $\mathbb{T}^3$ stands for a general 3-torus. We discover a quite simple relationship between energy at radius $R$ and energy at radius $\frac{l_s^2}{ R}$. Then we consider quantum gravity effects in the vacuum energy of a scalar field in $\mathbb{M}_3 \times S^1$ where $\mathbb{M}_3$ is a general curved spacetime, and the circle $S^1$ refers to a spacelike coordinate. We compute it for General Relativity and generic transverse {\em TDiff} theories. In the particular case of Unimodular Gravity vacuum energy does not gravitate.

[ { "created": "Mon, 16 Nov 2020 19:20:28 GMT", "version": "v1" }, { "created": "Fri, 20 Nov 2020 16:39:37 GMT", "version": "v2" }, { "created": "Tue, 5 Jan 2021 15:22:58 GMT", "version": "v3" } ]

2021-04-28

[ [ "Alvarez", "Enrique", "" ], [ "Anero", "Jesus", "" ], [ "Santos-Garcia", "Raquel", "" ] ]

We discuss the weight of vacuum energy in various contexts. First, we compute the vacuum energy for flat spacetimes of the form $\mathbb{T}^3 \times \mathbb{R}$, where $\mathbb{T}^3$ stands for a general 3-torus. We discover a quite simple relationship between energy at radius $R$ and energy at radius $\frac{l_s^2}{ R}$. Then we consider quantum gravity effects in the vacuum energy of a scalar field in $\mathbb{M}_3 \times S^1$ where $\mathbb{M}_3$ is a general curved spacetime, and the circle $S^1$ refers to a spacelike coordinate. We compute it for General Relativity and generic transverse {\em TDiff} theories. In the particular case of Unimodular Gravity vacuum energy does not gravitate.

8.492085

8.839368

8.742358

8.358617

8.342932

9.258097

9.488433

8.39675

8.452084

9.258334

8.395872

8.288495

8.42804

8.249153

7.995206

8.328424

8.500733

8.464672

8.284789

8.422017

8.151814

hep-th/9601030

Hagen Kleinert

H. Kleinert (http://www.physik.fu-berlin.de/~kleinert/institution.html) and A.M. Chervyakov

Evidence for Negative Stiffness of QCD Strings

LaTeX and figure files tarred and gzipped. New Version contains a number of improvements

null

hep-th

null

QCD strings are color-electric flux tubes between quarks with a finite thickness and thus a finite curvature stiffness. Contrary to an earlier rigid-string by Polyakov and Kleinert, and motivated by the properties of a magnetic flux tubes in type-II superconductors we put forward the hypothesis that QCD strings have a {\em negative\/ stiffness. We set up a new string model with this property and show that it is free of the three principal problems of rigid-strings --- particle states with negative norm, nonexistence of a lowest-energy state, and wrong high-temperature behavior of string tension --- thus making it a better candidate for a string description of quark forces than previous models.

[ { "created": "Tue, 9 Jan 1996 10:02:40 GMT", "version": "v1" }, { "created": "Tue, 16 Apr 1996 07:10:17 GMT", "version": "v2" }, { "created": "Thu, 18 Apr 1996 05:34:54 GMT", "version": "v3" } ]

2008-02-03

[ [ "Kleinert", "H.", "", "http://www.physik.fu-berlin.de/~kleinert/institution.html" ], [ "Chervyakov", "A. M.", "" ] ]

QCD strings are color-electric flux tubes between quarks with a finite thickness and thus a finite curvature stiffness. Contrary to an earlier rigid-string by Polyakov and Kleinert, and motivated by the properties of a magnetic flux tubes in type-II superconductors we put forward the hypothesis that QCD strings have a {\em negative\/ stiffness. We set up a new string model with this property and show that it is free of the three principal problems of rigid-strings --- particle states with negative norm, nonexistence of a lowest-energy state, and wrong high-temperature behavior of string tension --- thus making it a better candidate for a string description of quark forces than previous models.

16.324047

17.229662

17.667664

14.529937

19.465334

16.739595

16.689823

15.613416

15.606489

18.681913

16.014969

14.830287

15.427623

15.08916

15.34972

14.638057

15.355717

14.847396

15.383405

14.950868

15.065417

hep-th/0401131

Luca Lusanna

Luca Lusanna (INFN, Firenze)

On the Anticipatory Aspects of the Four Interactions: what the Known Classical and Semi-Classical Solutions Teach us

12 pages, Talk and "best contribution" at The Sixth International Conference on Computing Anticipatory Systems CASYS'03, Liege August 11-16, 2003

null

10.1063/1.1787316

null

hep-th

null

The four (electro-magnetic, weak, strong and gravitational) interactions are described by singular Lagrangians and by Dirac-Bergmann theory of Hamiltonian constraints. As a consequence a subset of the original configuration variables are {\it gauge variables}, not determined by the equations of motion. Only at the Hamiltonian level it is possible to separate the gauge variables from the deterministic physical degrees of freedom, the {\it Dirac observables}, and to formulate a well posed Cauchy problem for them both in special and general relativity. Then the requirement of {\it causality} dictates the choice of {\it retarded} solutions at the classical level. However both the problems of the classical theory of the electron, leading to the choice of ${1\over 2} (retarded + advanced)$ solutions, and the regularization of quantum field teory, leading to the Feynman propagator, introduce {\it anticipatory} aspects. The determination of the relativistic Darwin potential as a semi-classical approximation to the Lienard-Wiechert solution for particles with Grassmann-valued electric charges, regularizing the Coulomb self-energies, shows that these anticipatory effects live beyond the semi-classical approximation (tree level) under the form of radiative corrections, at least for the electro-magnetic interaction.

[ { "created": "Tue, 20 Jan 2004 13:25:40 GMT", "version": "v1" } ]

2009-11-10

[ [ "Lusanna", "Luca", "", "INFN, Firenze" ] ]

The four (electro-magnetic, weak, strong and gravitational) interactions are described by singular Lagrangians and by Dirac-Bergmann theory of Hamiltonian constraints. As a consequence a subset of the original configuration variables are {\it gauge variables}, not determined by the equations of motion. Only at the Hamiltonian level it is possible to separate the gauge variables from the deterministic physical degrees of freedom, the {\it Dirac observables}, and to formulate a well posed Cauchy problem for them both in special and general relativity. Then the requirement of {\it causality} dictates the choice of {\it retarded} solutions at the classical level. However both the problems of the classical theory of the electron, leading to the choice of ${1\over 2} (retarded + advanced)$ solutions, and the regularization of quantum field teory, leading to the Feynman propagator, introduce {\it anticipatory} aspects. The determination of the relativistic Darwin potential as a semi-classical approximation to the Lienard-Wiechert solution for particles with Grassmann-valued electric charges, regularizing the Coulomb self-energies, shows that these anticipatory effects live beyond the semi-classical approximation (tree level) under the form of radiative corrections, at least for the electro-magnetic interaction.

10.118528

11.18891

10.390529

9.740251

10.51048

10.647052

10.679479

10.060886

10.261287

10.98464

9.906612

9.773378

10.094339

9.724346

9.548853

9.872632

9.863502

10.094717

9.47003

9.733887

9.962418

hep-th/0008197

Uzawa

K.Uzawa, J.Soda

Self-Tuning Dark Energy in Brane World Cosmology

11pages, LaTex

Mod.Phys.Lett. A16 (2001) 1089-1100

10.1142/S0217732301004273

null

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

null

Recently, the self-tuning mechanism of cancellation of vacuum energy has been proposed in which our universe is a flat 3-brane in a 5-dimensional spacetime. In this letter, the self-tuning mechanism of dark energy is proposed by considering the cosmological matter in the brane world. In our model, the bulk scalar field takes the role of the dark energy and its value is slowly varying in time. The claim is that even if the enormous amount of vacuum energy exists on the brane we can adjust the present value of the dark energy to be consistent with the current observations. In this self-tuning mechanism, the existence of the constant of integration associated with the bulk scalar is crucial.

[ { "created": "Fri, 25 Aug 2000 10:36:43 GMT", "version": "v1" } ]

2009-10-31

[ [ "Uzawa", "K.", "" ], [ "Soda", "J.", "" ] ]

Recently, the self-tuning mechanism of cancellation of vacuum energy has been proposed in which our universe is a flat 3-brane in a 5-dimensional spacetime. In this letter, the self-tuning mechanism of dark energy is proposed by considering the cosmological matter in the brane world. In our model, the bulk scalar field takes the role of the dark energy and its value is slowly varying in time. The claim is that even if the enormous amount of vacuum energy exists on the brane we can adjust the present value of the dark energy to be consistent with the current observations. In this self-tuning mechanism, the existence of the constant of integration associated with the bulk scalar is crucial.

9.08862

7.584894

7.644323

7.417684

7.180163

7.236818

7.202574

7.770533

7.47848

8.088773

7.015053

7.636978

7.738633

7.303061

7.51574

7.331191

7.515656

7.418733

7.52856

7.553025

7.563194

2306.07318

Diego Delmastro

Marieke van Beest, Philip Boyle Smith, Diego Delmastro, Zohar Komargodski, David Tong

Monopoles, Scattering, and Generalized Symmetries

60 pages

null

hep-th cond-mat.str-el

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

We reconsider the problem of electrically charged, massless fermions scattering off magnetic monopoles. The interpretation of the outgoing states has long been a puzzle as, in certain circumstances, they necessarily carry fractional quantum numbers. We argue that consistency requires such outgoing particles to be attached to a topological co-dimension 1 surface, which ends on the monopole. This surface cannot participate in a 2-group with the magnetic 1-form symmetry and is often non-invertible. Equivalently, the outgoing radiation lies in a twisted sector and not in the original Fock space. The outgoing radiation therefore not only carries unconventional flavor quantum numbers, but is often trailed by a topological field theory. We exemplify these ideas in the 1+1 dimensional, chiral 3450 model which shares many of the same features. We comment on the effects of gauge field fluctuations on the lowest angular momentum fermion scattering states in the presence of a magnetic monopole. While, to leading order, these zero modes can penetrate into the monopole core, in the full theory some of the zero modes are lifted and develop a small centrifugal barrier. The dynamics of the zero modes is that of a multi-flavor Schwinger model with a space-dependent gauge coupling. Symmetries and anomalies constrain the fate of the pseudo-zero modes.

[ { "created": "Mon, 12 Jun 2023 18:00:01 GMT", "version": "v1" } ]

2023-06-14

[ [ "van Beest", "Marieke", "" ], [ "Smith", "Philip Boyle", "" ], [ "Delmastro", "Diego", "" ], [ "Komargodski", "Zohar", "" ], [ "Tong", "David", "" ] ]

We reconsider the problem of electrically charged, massless fermions scattering off magnetic monopoles. The interpretation of the outgoing states has long been a puzzle as, in certain circumstances, they necessarily carry fractional quantum numbers. We argue that consistency requires such outgoing particles to be attached to a topological co-dimension 1 surface, which ends on the monopole. This surface cannot participate in a 2-group with the magnetic 1-form symmetry and is often non-invertible. Equivalently, the outgoing radiation lies in a twisted sector and not in the original Fock space. The outgoing radiation therefore not only carries unconventional flavor quantum numbers, but is often trailed by a topological field theory. We exemplify these ideas in the 1+1 dimensional, chiral 3450 model which shares many of the same features. We comment on the effects of gauge field fluctuations on the lowest angular momentum fermion scattering states in the presence of a magnetic monopole. While, to leading order, these zero modes can penetrate into the monopole core, in the full theory some of the zero modes are lifted and develop a small centrifugal barrier. The dynamics of the zero modes is that of a multi-flavor Schwinger model with a space-dependent gauge coupling. Symmetries and anomalies constrain the fate of the pseudo-zero modes.

13.481292

13.46364

14.350654

12.880986

13.518991

14.148041

13.238913

12.79445

12.690145

16.72303

12.742716

12.961797

13.118617

12.628362

13.266288

12.902899

13.14369

12.72178

13.199066

13.778055

12.980991

0704.3920

Seong Chan Park

Seong Chan Park (Seoul National University)

Orbifold GUT inflation

12 pages, 6 figures, JCAP accepted version

JCAP0711:001,2007

10.1088/1475-7516/2007/11/001

null

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

null

We consider a scenario of cosmological inflation coming from a grand unified theory in higher dimensional orbifold. Flatness of the potential is automatically guaranteed in this orbifold setup thanks to the nonlocality of the Wilson line on higher dimensions and the local quantum gravitational corrections are exponentially suppressed. The spectral index of scalar perturbation (n_s =0.92 - 0.97) and a significant production of gravitational waves are predicted (r= T/S= 0.01 - 0.12) in the perturbative regime of gauge interaction, (1/g_4 = (5-20) X 2 pi R Mpl) where the size of compactification is constrained (R Mpl = 20- 45) by the measurement of scalar power spectrum (Delta_R = 5 X 10^-5).

[ { "created": "Mon, 30 Apr 2007 12:17:25 GMT", "version": "v1" }, { "created": "Wed, 17 Oct 2007 16:53:47 GMT", "version": "v2" } ]

2008-11-26

[ [ "Park", "Seong Chan", "", "Seoul National University" ] ]

We consider a scenario of cosmological inflation coming from a grand unified theory in higher dimensional orbifold. Flatness of the potential is automatically guaranteed in this orbifold setup thanks to the nonlocality of the Wilson line on higher dimensions and the local quantum gravitational corrections are exponentially suppressed. The spectral index of scalar perturbation (n_s =0.92 - 0.97) and a significant production of gravitational waves are predicted (r= T/S= 0.01 - 0.12) in the perturbative regime of gauge interaction, (1/g_4 = (5-20) X 2 pi R Mpl) where the size of compactification is constrained (R Mpl = 20- 45) by the measurement of scalar power spectrum (Delta_R = 5 X 10^-5).

12.933217

13.188855

12.891871

12.347613

14.587821

13.840097

14.193182

13.337527

11.932024

15.392734

13.153236

12.376527

12.60765

12.050245

12.032156

12.239098

12.293005

12.818981

12.344543

12.564015

12.448528

hep-th/9809141

Taro Kashiwa

Taro Kashiwa (Kyushu University)

The Auxiliary Field Method as a Powerful Tool for Nonperturbative Study

18 pages, 5 figures

Phys.Rev. D59 (1999) 085002

10.1103/PhysRevD.59.085002

KYUSHU-HET-42

hep-th

null

The auxiliary field method, defined through introducing an auxiliary (also called as the Hubbard-Stratonovich or the Mean-) field and utilizing a loop-expansion, gives an excellent result for a wide range of a coupling constant. The analysis is made for Anharmonic-Oscillator and Double-Well examples in 0-(a simple integral) and 1-(quantum mechanics)dimension. It is shown that the result becomes more and more accurate by taking a higher loop into account in a weak coupling region, however, it is not the case in a strong coupling region. The 2-loop approximation is shown to be still insufficient for the Double-Well case in quantum mechanics.

[ { "created": "Sat, 19 Sep 1998 09:19:33 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kashiwa", "Taro", "", "Kyushu University" ] ]

The auxiliary field method, defined through introducing an auxiliary (also called as the Hubbard-Stratonovich or the Mean-) field and utilizing a loop-expansion, gives an excellent result for a wide range of a coupling constant. The analysis is made for Anharmonic-Oscillator and Double-Well examples in 0-(a simple integral) and 1-(quantum mechanics)dimension. It is shown that the result becomes more and more accurate by taking a higher loop into account in a weak coupling region, however, it is not the case in a strong coupling region. The 2-loop approximation is shown to be still insufficient for the Double-Well case in quantum mechanics.

13.2859

13.949404

15.882749

13.168865

12.692104

14.042085

15.178304

14.050306

13.219496

14.938063

12.969833

13.036895

13.289558

13.222162

13.341875

12.549277

12.860626

12.998694

13.316124

13.621462

13.349983

hep-th/9809075

George Siopsis

Newtonian versus black-hole scattering

11 pages, ReVTeX

Phys. Rev. D 59, 044015 (1999)

10.1103/PhysRevD.59.044015

null

hep-th

null

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which should be the weak-field limit of any quantum theory of gravity. This behavior arises independently of the presence of supersymmetry. The connection to two-dimensional conformal field theory is also discussed.

[ { "created": "Thu, 10 Sep 1998 21:58:23 GMT", "version": "v1" } ]

2016-08-25

[ [ "Siopsis", "George", "" ] ]

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which should be the weak-field limit of any quantum theory of gravity. This behavior arises independently of the presence of supersymmetry. The connection to two-dimensional conformal field theory is also discussed.

9.028227

6.137825

8.158752

6.587119

6.681269

6.752693

6.557852

7.030021

6.968974

8.633678

6.853196

7.469546

7.889964

7.540182

7.407118

7.644556

7.658095

7.484358

7.47142

7.991646

7.295956

1904.00922

Alesandro Santos

S. C. Ulhoa, A. F. Santos, T. F. Furtado and F. C. Khanna

On Gravitational Casimir Effect and Stefan-Boltzmann Law at Finite Temperature

12 pages, accepted for publication in Advances in High Energy Physics

null

hep-th

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

Gravitons are described by the propagator in Teleparallel gravity in nearly flat space-time. Finite temperature is introduced by using Thermo Field Dynamics formalism. The Gravitational Casimir effect and Stefan-Boltzmann law are calculated as a function of temperature. Then an equation of state for gravitons is determined.

[ { "created": "Mon, 1 Apr 2019 15:51:03 GMT", "version": "v1" } ]

2019-04-02

[ [ "Ulhoa", "S. C.", "" ], [ "Santos", "A. F.", "" ], [ "Furtado", "T. F.", "" ], [ "Khanna", "F. C.", "" ] ]

Gravitons are described by the propagator in Teleparallel gravity in nearly flat space-time. Finite temperature is introduced by using Thermo Field Dynamics formalism. The Gravitational Casimir effect and Stefan-Boltzmann law are calculated as a function of temperature. Then an equation of state for gravitons is determined.

11.167031

8.26405

9.670621

8.755103

9.300975

9.122431

8.60657

8.326633

9.187053

8.935244

9.133872

8.916681

9.933549

9.857144

9.796523

9.410291

9.768095

9.66041

9.872602

9.665764

9.114917

1004.4567

Delia Schwartz-Perlov

Delia Schwartz-Perlov and Alexander Vilenkin

Measures for a Transdimensional Multiverse

30 pages, 1 figure Minor revisions, reference added

JCAP 1006:024,2010

10.1088/1475-7516/2010/06/024

null

hep-th gr-qc

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

The multiverse/landscape paradigm that has emerged from eternal inflation and string theory, describes a large-scale multiverse populated by "pocket universes" which come in a huge variety of different types, including different dimensionalities. In order to make predictions in the multiverse, we need a probability measure. In $(3+1)d$ landscapes, the scale factor cutoff measure has been previously shown to have a number of attractive properties. Here we consider possible generalizations of this measure to a transdimensional multiverse. We find that a straightforward extension of scale factor cutoff to the transdimensional case gives a measure that strongly disfavors large amounts of slow-roll inflation and predicts low values for the density parameter $\Omega$, in conflict with observations. A suitable generalization, which retains all the good properties of the original measure, is the "volume factor" cutoff, which regularizes the infinite spacetime volume using cutoff surfaces of constant volume expansion factor.

[ { "created": "Mon, 26 Apr 2010 16:29:30 GMT", "version": "v1" }, { "created": "Tue, 25 May 2010 14:44:44 GMT", "version": "v2" } ]

2014-11-20

[ [ "Schwartz-Perlov", "Delia", "" ], [ "Vilenkin", "Alexander", "" ] ]

The multiverse/landscape paradigm that has emerged from eternal inflation and string theory, describes a large-scale multiverse populated by "pocket universes" which come in a huge variety of different types, including different dimensionalities. In order to make predictions in the multiverse, we need a probability measure. In $(3+1)d$ landscapes, the scale factor cutoff measure has been previously shown to have a number of attractive properties. Here we consider possible generalizations of this measure to a transdimensional multiverse. We find that a straightforward extension of scale factor cutoff to the transdimensional case gives a measure that strongly disfavors large amounts of slow-roll inflation and predicts low values for the density parameter $\Omega$, in conflict with observations. A suitable generalization, which retains all the good properties of the original measure, is the "volume factor" cutoff, which regularizes the infinite spacetime volume using cutoff surfaces of constant volume expansion factor.

9.254189

8.890417

10.379573

8.852499

9.677942

9.061382

9.18257

8.990154

8.552427

9.497481

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8.556169

8.81066

8.454972

8.825011

8.736526

8.82364

8.384439

8.606529

9.067135

8.414629

1510.09020

Javier Molina Dr

Javier Molina-Vilaplana

Entanglement Renormalization and Two Dimensional String Theory

20 pages. v3 minor corrections. Accepted for publication in Physics Letters B

Phys.Lett. B755 (2016) 421-425

10.1016/j.physletb.2016.02.050

null

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

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

The entanglement renormalization flow of a (1+1) free boson is formulated as a path integral over some auxiliary scalar fields. The resulting effective theory for these fields amounts to the dilaton term of non-critical string theory in two spacetime dimensions. A connection between the scalar fields in the two theories is provided, allowing to acquire novel insights into how a theory of gravity emerges from the entanglement structure of another one without gravity.

[ { "created": "Fri, 30 Oct 2015 09:24:28 GMT", "version": "v1" }, { "created": "Thu, 17 Dec 2015 11:14:44 GMT", "version": "v2" }, { "created": "Mon, 29 Feb 2016 09:22:46 GMT", "version": "v3" } ]

2016-03-29

[ [ "Molina-Vilaplana", "Javier", "" ] ]

The entanglement renormalization flow of a (1+1) free boson is formulated as a path integral over some auxiliary scalar fields. The resulting effective theory for these fields amounts to the dilaton term of non-critical string theory in two spacetime dimensions. A connection between the scalar fields in the two theories is provided, allowing to acquire novel insights into how a theory of gravity emerges from the entanglement structure of another one without gravity.

11.019671

10.857691

12.874328

10.550463

10.424789

11.608995

11.34732

11.240872

10.493782

12.000555

10.782925

10.498684

10.802252

10.259173

10.313402

10.288986

10.27333

9.61543

10.932175

11.021089

10.415334

1911.06305

Raphael Bousso

Raphael Bousso, Marija Tomasevic

Unitarity From a Smooth Horizon?

28 pages, 5 figures; v2: minor updates

Phys. Rev. D 102, 106019 (2020)

10.1103/PhysRevD.102.106019

null

hep-th gr-qc

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

Under semiclassical evolution, black holes retain a smooth horizon but fail to return information. Yet, the Ryu-Takayanagi prescription computes the boundary entropy expected from unitary CFT evolution. We demonstrate this in a novel setting with an asymptotic bulk detector, eliminating an assumption about the entanglement wedge of auxiliary systems. We consider three interpretations of this result. (i) At face value, information is lost in the bulk but not in the CFT. This conflicts with the AdS/CFT dictionary. (ii) No unique QFT state (pure or mixed) governs all detector responses to the bulk Hawking radiation. This conflicts with the existence of an S-matrix. (iii) Nonlocal couplings to the black hole interior cause asymptotic detectors to respond as though the radiation was pure, even though it is naively thermal. This invalidates the standard interpretation of the semiclassical state, including its smoothness at the horizon. We conclude that unitary boundary evolution requires asymptotic bulk detectors to become unambiguously pure at late times. We ask whether the RT prescription can still reproduce the boundary entropy in this bulk scenario. We find that this requires a substantial failure of semiclassical gravity in a low-curvature region, such as a firewall that purifies the Hawking radiation. Finally, we allow that the dual to semiclassical gravity may be an ensemble of unitary theories. This appears to relax the tensions we found: the ensemble average of out-states would be mixed, but the ensemble average of final entropies would vanish.

[ { "created": "Thu, 14 Nov 2019 18:47:51 GMT", "version": "v1" }, { "created": "Thu, 26 Mar 2020 16:14:50 GMT", "version": "v2" } ]

2020-11-25

[ [ "Bousso", "Raphael", "" ], [ "Tomasevic", "Marija", "" ] ]

Under semiclassical evolution, black holes retain a smooth horizon but fail to return information. Yet, the Ryu-Takayanagi prescription computes the boundary entropy expected from unitary CFT evolution. We demonstrate this in a novel setting with an asymptotic bulk detector, eliminating an assumption about the entanglement wedge of auxiliary systems. We consider three interpretations of this result. (i) At face value, information is lost in the bulk but not in the CFT. This conflicts with the AdS/CFT dictionary. (ii) No unique QFT state (pure or mixed) governs all detector responses to the bulk Hawking radiation. This conflicts with the existence of an S-matrix. (iii) Nonlocal couplings to the black hole interior cause asymptotic detectors to respond as though the radiation was pure, even though it is naively thermal. This invalidates the standard interpretation of the semiclassical state, including its smoothness at the horizon. We conclude that unitary boundary evolution requires asymptotic bulk detectors to become unambiguously pure at late times. We ask whether the RT prescription can still reproduce the boundary entropy in this bulk scenario. We find that this requires a substantial failure of semiclassical gravity in a low-curvature region, such as a firewall that purifies the Hawking radiation. Finally, we allow that the dual to semiclassical gravity may be an ensemble of unitary theories. This appears to relax the tensions we found: the ensemble average of out-states would be mixed, but the ensemble average of final entropies would vanish.

11.766385

12.491156

13.737013

12.064273

12.994121

13.282647

13.63401

12.640522

12.360718

14.087355

12.13552

11.869534

11.996624

11.675876

11.830009

11.580973

11.818259

12.104349

11.714252

12.554027

11.575127

0911.0012

I\~naki Garc\'ia-Etxebarria

Mirjam Cveti\v{c}, I\~naki Garc\'ia-Etxebarria and Robert Richter

Branes and instantons at angles and the F-theory lift of O(1) instantons

15 pages, 1 figure. Based in part on talks given at various conferences

AIP Conf.Proc.1200:246-260,2010

10.1063/1.3327564

ROM2F/2009/21, UPR-1214-T

hep-th

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

We discuss the physics of D-branes and D-brane instantons intersecting at angles, focusing on the (non)generation of a superpotential in the worldvolume theory of the branes. This is a short review of the results in arXiv:0905.1694, where we further emphasize both the macroscopic and microscopic structure of the manifestly supersymmetric instanton action. We also comment on the lift of O(1) instantons to F-theory.

[ { "created": "Mon, 2 Nov 2009 04:22:15 GMT", "version": "v1" } ]

2015-05-14

[ [ "Cvetič", "Mirjam", "" ], [ "García-Etxebarria", "Iñaki", "" ], [ "Richter", "Robert", "" ] ]

We discuss the physics of D-branes and D-brane instantons intersecting at angles, focusing on the (non)generation of a superpotential in the worldvolume theory of the branes. This is a short review of the results in arXiv:0905.1694, where we further emphasize both the macroscopic and microscopic structure of the manifestly supersymmetric instanton action. We also comment on the lift of O(1) instantons to F-theory.

10.192726

9.340406

10.166788

9.158437

10.048106

10.054314

9.982686

9.390034

9.582226

10.544158

8.881381

9.216554

10.784253

9.725065

9.423998

9.858795

9.33179

9.616491

9.649694

10.663511

9.102771

1104.0706

Evgeny Ivanov

M. Goykhman, E. Ivanov

Worldsheet Supersymmetry of Pohlmeyer-Reduced AdS_n x S^n Superstrings

1+18 pages, minor corrections, published version

JHEP 1109:078,2011

10.1007/JHEP09(2011)078

null

hep-th math-ph math.MP

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

As was observed by Grigoriev and Tseytlin, the Pohlmeyer-reduced AdS_2 x S^2 superstring theory possesses N=(2,2) worldsheet supersymmetry. We show, at the classical level, that the AdS_3 x S^3 and AdS_5 x S^5 superstring theories in the Pohlmeyer-reduced form reveal hidden N=(4,4) and N=(8,8) worldsheet supersymmetries. Our consideration is based on the modified mass-deformed gauged WZW action for the superstring equations. We present the explicit form of the supersymmetry transformations for both the off-shell action and the superstring equations. The characteristic feature of these transformations is the presence of non-local terms.

[ { "created": "Mon, 4 Apr 2011 22:59:39 GMT", "version": "v1" }, { "created": "Wed, 20 Apr 2011 20:09:15 GMT", "version": "v2" }, { "created": "Wed, 16 Nov 2011 20:28:34 GMT", "version": "v3" } ]

2011-11-17

[ [ "Goykhman", "M.", "" ], [ "Ivanov", "E.", "" ] ]

As was observed by Grigoriev and Tseytlin, the Pohlmeyer-reduced AdS_2 x S^2 superstring theory possesses N=(2,2) worldsheet supersymmetry. We show, at the classical level, that the AdS_3 x S^3 and AdS_5 x S^5 superstring theories in the Pohlmeyer-reduced form reveal hidden N=(4,4) and N=(8,8) worldsheet supersymmetries. Our consideration is based on the modified mass-deformed gauged WZW action for the superstring equations. We present the explicit form of the supersymmetry transformations for both the off-shell action and the superstring equations. The characteristic feature of these transformations is the presence of non-local terms.

5.375167

4.885279

5.682014

4.881744

4.762872

5.030942

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4.841953

4.494036

6.384895

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5.255616

4.719294

4.722634

4.906675

4.900667

4.76158

4.856441

5.20921

5.05319

2107.14227

Miguel Montero

Arun Debray, Markus Dierigl, Jonathan J. Heckman, Miguel Montero

The anomaly that was not meant IIB

40 pages + appendices, 4 figures, 331776 bordism classes. v2: Added references, expanded discussion on quadratic refinement

null

10.1002/prop.202100168

LMU-ASC 24/21

hep-th math.AT

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

Type IIB supergravity enjoys a discrete non-Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them, modulo some physically motivated assumptions. Quite surprisingly, we find that they do not vanish, which naively would signal an inconsistency of F-theory. Remarkably, a subtle modification of the standard 10d Chern-Simons term cancels these anomalies, a fact which relies on the ***specific*** field content of type IIB supergravity. We also discover other ways to cancel this anomaly, via a topological analog of the Green-Schwarz mechanism. These alternative type IIB theories have the same low energy supergravity limit as ordinary type IIB, but a different spectrum of extended objects. They could either be part of the Swampland, or connect to the standard theory via domain walls.

[ { "created": "Thu, 29 Jul 2021 17:58:14 GMT", "version": "v1" }, { "created": "Mon, 22 Nov 2021 14:02:14 GMT", "version": "v2" } ]

2022-02-09

[ [ "Debray", "Arun", "" ], [ "Dierigl", "Markus", "" ], [ "Heckman", "Jonathan J.", "" ], [ "Montero", "Miguel", "" ] ]

Type IIB supergravity enjoys a discrete non-Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them, modulo some physically motivated assumptions. Quite surprisingly, we find that they do not vanish, which naively would signal an inconsistency of F-theory. Remarkably, a subtle modification of the standard 10d Chern-Simons term cancels these anomalies, a fact which relies on the ***specific*** field content of type IIB supergravity. We also discover other ways to cancel this anomaly, via a topological analog of the Green-Schwarz mechanism. These alternative type IIB theories have the same low energy supergravity limit as ordinary type IIB, but a different spectrum of extended objects. They could either be part of the Swampland, or connect to the standard theory via domain walls.

11.053042

9.560467

11.698092

9.759195

10.088305

10.131856

10.491635

10.689801

10.018745

12.526546

9.928037

10.244425

10.570306

10.171383

10.076662

10.131148

9.977288

10.399865

10.121045

10.617767

9.744482

1505.02647

Enrico Brehm

Enrico M. Brehm and Ilka Brunner

Entanglement entropy through conformal interfaces in the 2D Ising model

27 pages, 3 figures, v2: additional references and minor corrections

null

LMU-ASC 23/15

hep-th cond-mat.stat-mech

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

We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves conformal invariance. Using the replica trick, we compute the entanglement entropy between the two subsystems. We observe that the entropy, just like in the case without defects, shows a logarithmic scaling behavior with respect to the size of the system. Here, the prefactor of the logarithm depends on the strength of the defect encoded in the transmission coefficient. We also comment on the supersymmetric case.

[ { "created": "Mon, 11 May 2015 14:47:32 GMT", "version": "v1" }, { "created": "Fri, 22 May 2015 12:23:33 GMT", "version": "v2" } ]

2015-05-25

[ [ "Brehm", "Enrico M.", "" ], [ "Brunner", "Ilka", "" ] ]

We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves conformal invariance. Using the replica trick, we compute the entanglement entropy between the two subsystems. We observe that the entropy, just like in the case without defects, shows a logarithmic scaling behavior with respect to the size of the system. Here, the prefactor of the logarithm depends on the strength of the defect encoded in the transmission coefficient. We also comment on the supersymmetric case.

5.093686

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4.983107

4.910858

4.401205

4.731304

4.671038

5.306509

4.635591

4.79128

5.06458

4.841105

4.810211

4.911323

4.894405

4.843237

4.879658

4.980916

4.724624

1105.0591

Mark Goodsell

P.Anastasopoulos, I.Antoniadis, K.Benakli, M.D.Goodsell and A.Vichi

One-loop adjoint masses for non-supersymmetric intersecting branes

40 pages

null

10.1007/JHEP08(2011)120

CERN-PH-TH/2011-095; DESY 11-069; TUW-11-09

hep-th

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

We consider breaking of supersymmetry in intersecting D-brane configurations by slight deviation of the angles from their supersymmetric values. We compute the masses generated by radiative corrections for the adjoint scalars on the brane world-volumes. In the open string channel, the string two-point function receives contributions only from the infrared and the ultraviolet limits. The latter is due to tree-level closed string uncanceled NS-NS tadpoles, which we explicitly reproduce from the effective Born-Infeld action. On the other hand, the infrared region reproduces the one-loop mediation of supersymmetry breaking in the effective gauge theory, via messengers and their Kaluza-Klein excitations. In the toroidal set-up considered here, it receives contributions only from broken N=4 and N=2 supersymmetric configurations, and thus always leads at leading order to a tachyonic direction, in agreement with effective field theory expectations.

[ { "created": "Tue, 3 May 2011 14:20:50 GMT", "version": "v1" } ]

2015-05-28

[ [ "Anastasopoulos", "P.", "" ], [ "Antoniadis", "I.", "" ], [ "Benakli", "K.", "" ], [ "Goodsell", "M. D.", "" ], [ "Vichi", "A.", "" ] ]

We consider breaking of supersymmetry in intersecting D-brane configurations by slight deviation of the angles from their supersymmetric values. We compute the masses generated by radiative corrections for the adjoint scalars on the brane world-volumes. In the open string channel, the string two-point function receives contributions only from the infrared and the ultraviolet limits. The latter is due to tree-level closed string uncanceled NS-NS tadpoles, which we explicitly reproduce from the effective Born-Infeld action. On the other hand, the infrared region reproduces the one-loop mediation of supersymmetry breaking in the effective gauge theory, via messengers and their Kaluza-Klein excitations. In the toroidal set-up considered here, it receives contributions only from broken N=4 and N=2 supersymmetric configurations, and thus always leads at leading order to a tachyonic direction, in agreement with effective field theory expectations.

9.287066

8.405708

10.358438

8.582291

8.428699

8.473312

8.022847

8.88114

8.284492

10.494285

8.331456

9.084558

9.65787

8.927452

8.798974

8.695522

8.858223

8.866797

8.826708

9.598253

8.97864

hep-th/9608140

Kechkin O. V.

O.Kechkin and M.Yurova

U(1,1)--Invariant Generation of Charges for Einstein--Maxwell--Dilaton--Axion Theory

14 pages, RevTex, no figuries

Gen.Rel.Grav. 29 (1997) 1283-1293

10.1023/A:1018815930628

null

hep-th

null

The action of the isometry subgroup which preserves the trivial values of the fields is studied for the stationary D=4 Einstein--Maxwell--Dilaton--Axion theory. The technique for generation of charges and the corresponding procedure for construction of new solutions is formulated. A solution describing the double rotating dyon with independent values of all physical charges is presented.

[ { "created": "Wed, 21 Aug 1996 17:02:18 GMT", "version": "v1" } ]

2015-06-26

[ [ "Kechkin", "O.", "" ], [ "Yurova", "M.", "" ] ]

The action of the isometry subgroup which preserves the trivial values of the fields is studied for the stationary D=4 Einstein--Maxwell--Dilaton--Axion theory. The technique for generation of charges and the corresponding procedure for construction of new solutions is formulated. A solution describing the double rotating dyon with independent values of all physical charges is presented.

18.377926

17.058977

16.220133

15.200764

16.972721

16.560074

15.103969

14.25882

16.447567

18.266422

15.84451

15.919848

16.693989

15.505081

15.983735

16.181198

15.49063

16.180437

15.652675

17.289585

15.02994

1803.01379

Shai Chester

Shai M. Chester

AdS$_4$/CFT$_3$ for Unprotected Operators

22 pages, 1 figure, v4, fixed typos

Journal of High Energy Physics, 2018, 1-30

10.1007/JHEP07(2018)030

PUPT-2553

hep-th

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

We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in $\mathcal{N}=8$ ABJ(M) theory \cite{Aharony:2008ug, Aharony:2008gk}. At large central charge $c_T\sim N^{3/2}$, this correlator is given by the corresponding holographic correlation function in 11d supergravity on $AdS_4\times S^7$. We use Mellin space techniques to compute the leading $1/c_T$ correction to anomalous dimensions and OPE coefficients of operators that appear in this holographic correlator. For half and quarter-BPS operators, we find exact agreement with previously computed localization results. For the other BPS and non-BPS operators, our results match the $\mathcal{N}=8$ numerical bootstrap for ABJ(M) at large $c_T$, which provides a precise check of unprotected observables in AdS/CFT.

[ { "created": "Sun, 4 Mar 2018 16:50:53 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2018 20:36:06 GMT", "version": "v2" }, { "created": "Thu, 2 Aug 2018 23:44:48 GMT", "version": "v3" }, { "created": "Mon, 17 Jun 2019 15:50:11 GMT", "version": "v4" } ]

2019-06-18

[ [ "Chester", "Shai M.", "" ] ]

We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in $\mathcal{N}=8$ ABJ(M) theory \cite{Aharony:2008ug, Aharony:2008gk}. At large central charge $c_T\sim N^{3/2}$, this correlator is given by the corresponding holographic correlation function in 11d supergravity on $AdS_4\times S^7$. We use Mellin space techniques to compute the leading $1/c_T$ correction to anomalous dimensions and OPE coefficients of operators that appear in this holographic correlator. For half and quarter-BPS operators, we find exact agreement with previously computed localization results. For the other BPS and non-BPS operators, our results match the $\mathcal{N}=8$ numerical bootstrap for ABJ(M) at large $c_T$, which provides a precise check of unprotected observables in AdS/CFT.

5.083865

5.109689

6.740543

4.806859

5.430315

5.549294

5.870341

4.720838

5.19803

7.4477

4.924234

4.796683

5.662628

4.848404

4.875391

4.821085

4.965435

4.963969

4.861779

5.481987

4.905198

0806.4777

Paul K. Townsend

Igor A. Bandos and Paul K. Townsend

Light-cone M5 and multiple M2-branes

21 pages, revised to clarify some points, to include a discussion of SDiff gauge invariance, and to add two references

Class.Quant.Grav.25:245003,2008

10.1088/0264-9381/25/24/245003

IFIC-08-33, FTUV-08-2506, DAMTP-2008-53

hep-th

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

We present the light-cone gauge fixed Lagrangian for the M5-brane; it has a residual `exotic' gauge invariance with the group of 5-volume preserving diffeomorphisms, SDiff(5), as gauge group. For an M5-brane of topology R2 x M3, for closed 3-manifold M3, we find an infinite tension limit that yields an SO(8)-invariant (1+2)-dimensional field theory with `exotic' SDiff(3) gauge invariance. We show that this field theory is the Carrollian limit of the Nambu bracket realization of the `BLG' model for multiple M2-branes.

[ { "created": "Sun, 29 Jun 2008 18:41:20 GMT", "version": "v1" }, { "created": "Sat, 19 Jul 2008 22:23:07 GMT", "version": "v2" } ]

2008-12-18

[ [ "Bandos", "Igor A.", "" ], [ "Townsend", "Paul K.", "" ] ]

We present the light-cone gauge fixed Lagrangian for the M5-brane; it has a residual `exotic' gauge invariance with the group of 5-volume preserving diffeomorphisms, SDiff(5), as gauge group. For an M5-brane of topology R2 x M3, for closed 3-manifold M3, we find an infinite tension limit that yields an SO(8)-invariant (1+2)-dimensional field theory with `exotic' SDiff(3) gauge invariance. We show that this field theory is the Carrollian limit of the Nambu bracket realization of the `BLG' model for multiple M2-branes.

7.542453

7.671595

8.69969

6.902166

7.428833

7.046586

7.000479

6.87247

6.740937

9.08692

7.158169

7.202256

7.781281

7.11593

7.005722

7.200788

6.99755

7.140913

7.093183

8.047892

7.193214

hep-th/0408032

Bin Wang

Bin Wang, Yungui Gong and Ru-Keng Su

Probing the curvature of the Universe from supernova measurement

8 pages, 3 figures, revised version, accepted for publication in Physics Letters B

Phys.Lett. B605 (2005) 9-14

10.1016/j.physletb.2004.11.027

null

hep-th astro-ph gr-qc

null

We study the possibility to probe the spatial geometry of the Universe by supernova measurement of the cubic correction to the luminosity distance. We illustrate with an accelerating universe model with infinite-volume extra dimensions, for which the 1$\sigma$ level supernova results indicate that the Universe is closed.

[ { "created": "Wed, 4 Aug 2004 08:17:26 GMT", "version": "v1" }, { "created": "Wed, 10 Nov 2004 02:34:55 GMT", "version": "v2" } ]

2009-11-10

[ [ "Wang", "Bin", "" ], [ "Gong", "Yungui", "" ], [ "Su", "Ru-Keng", "" ] ]

We study the possibility to probe the spatial geometry of the Universe by supernova measurement of the cubic correction to the luminosity distance. We illustrate with an accelerating universe model with infinite-volume extra dimensions, for which the 1$\sigma$ level supernova results indicate that the Universe is closed.

19.99579

19.120979

20.695484

18.421917

17.724218

20.186522

18.629082

19.045362

19.554802

19.095644

19.60605

21.06362

17.569563

17.147404

17.050041

18.002645

17.594185

18.335445

17.274158

17.175316

19.091206

1608.02957

Thomas T. Dumitrescu

An introduction to supersymmetric field theories in curved space

This is a contribution to the review volume `Localization techniques in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17 Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf

null

10.1088/1751-8121/aa62f5

null

hep-th math-ph math.MP

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

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background fields. We present the general principles, which broadly apply to theories with different amounts of supersymmetry in diverse dimensions, as well as specific applications to N=1 theories in four dimensions and their three-dimensional cousins with N=2 supersymmetry.

[ { "created": "Tue, 9 Aug 2016 20:01:42 GMT", "version": "v1" }, { "created": "Sun, 14 Aug 2016 14:22:07 GMT", "version": "v2" }, { "created": "Sat, 15 Oct 2016 18:05:10 GMT", "version": "v3" } ]

2017-10-25

[ [ "Dumitrescu", "Thomas T.", "" ] ]

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background fields. We present the general principles, which broadly apply to theories with different amounts of supersymmetry in diverse dimensions, as well as specific applications to N=1 theories in four dimensions and their three-dimensional cousins with N=2 supersymmetry.

6.290746

5.230212

6.885642

5.957861

5.514607

5.110347

5.191606

5.497336

5.564203

7.046628

5.127507

5.411639

6.005885

5.600476

5.548538

5.58725

5.617017

5.5026

5.652398

5.952538

5.562416

1501.07842

Mario Trigiante

Laura Andrianopoli, Riccardo D'Auria, Sergio Ferrara and Mario Trigiante

Observations on the Partial Breaking of $N=2$ Rigid Supersymmetry

7 pages, LaTeX source

null

10.1016/j.physletb.2015.03.032

null

hep-th

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

We study the partial breaking of $N=2$ rigid supersymmetry for a generic rigid special geometry of $n$ abelian vector multiplets in the presence of Fayet-Iliopoulos terms induced by the Hyper-K\"ahler momentum map. By exhibiting the symplectic structure of the problem we give invariant conditions for the breaking to occur, which rely on a quartic invariant of the Fayet-Iliopoulos charges as well as on a modification of the $N=2$ rigid symmetry algebra by a vector central charge.

[ { "created": "Fri, 30 Jan 2015 17:02:03 GMT", "version": "v1" } ]

2015-06-23

[ [ "Andrianopoli", "Laura", "" ], [ "D'Auria", "Riccardo", "" ], [ "Ferrara", "Sergio", "" ], [ "Trigiante", "Mario", "" ] ]

We study the partial breaking of $N=2$ rigid supersymmetry for a generic rigid special geometry of $n$ abelian vector multiplets in the presence of Fayet-Iliopoulos terms induced by the Hyper-K\"ahler momentum map. By exhibiting the symplectic structure of the problem we give invariant conditions for the breaking to occur, which rely on a quartic invariant of the Fayet-Iliopoulos charges as well as on a modification of the $N=2$ rigid symmetry algebra by a vector central charge.

10.230593

9.230619

9.803062

8.800663

8.341997

9.076578

8.872228

9.041408

9.053804

10.773992

8.622801

8.757109

9.590631

9.251807

9.114841

8.96754

8.943361

9.040076

9.396676

9.734126

8.893413

1212.3532

Kurt Lechner

Francesco Azzurli, Kurt Lechner

The Lienard-Wiechert field of accelerated massless charges

9 pages, no figures

null

10.1016/j.physleta.2013.02.046

DFPD/2012/TH25

hep-th math-ph math.MP

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

We determine for the first time the electromagnetic field generated by a generic massless accelerated charge, solving exactly Maxwell's equations. This result may shed new light on the possible existence of such particles in nature.

[ { "created": "Fri, 14 Dec 2012 17:16:40 GMT", "version": "v1" } ]

2015-06-12

[ [ "Azzurli", "Francesco", "" ], [ "Lechner", "Kurt", "" ] ]

We determine for the first time the electromagnetic field generated by a generic massless accelerated charge, solving exactly Maxwell's equations. This result may shed new light on the possible existence of such particles in nature.

15.926602

14.330269

13.13676

11.142231

12.399893

12.778699

13.699409

10.941672

13.153731

10.869222

14.164556

13.211342

12.533779

12.833741

12.834021

13.145298

13.061912

11.96414

13.067864

13.615238

13.819901

1608.02965

Leonardo Rastelli

Leonardo Rastelli and Shlomo S. Razamat

The supersymmetric index in four dimensions

This is a contribution to the review volume `Localization techniques in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17 Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf

null

10.1088/1751-8121/aa76a6

null

hep-th math-ph math.MP

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

We review the calculation and properties of the supersymmetric index for four dimensional N=1 theories, illustrating its physical significance in several examples.

[ { "created": "Tue, 9 Aug 2016 20:01:50 GMT", "version": "v1" }, { "created": "Sun, 14 Aug 2016 14:22:45 GMT", "version": "v2" }, { "created": "Sat, 15 Oct 2016 17:48:01 GMT", "version": "v3" } ]

2017-10-25

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

We review the calculation and properties of the supersymmetric index for four dimensional N=1 theories, illustrating its physical significance in several examples.

16.164047

9.411155

13.101376

10.007573

9.15412

9.107411

9.777048

9.7623

9.234493

13.684687

9.501876

11.932757

15.289553

11.76706

10.853437

11.286944

10.601081

11.580913

11.398554

13.743538

11.193505

hep-th/9703129

Daniele Guido

Daniele Guido (U. Roma "Tor Vergata"), Roberto Longo (U. Roma "Tor Vergata"), Hans-Werner Wiesbrock (Freie Universitaet Berlin)

Extensions of Conformal Nets and Superselection Structures

34 pages, Latex2e. Some points have been clarified and some references have been added. To appear in Communications in Mathematical Physics

Commun.Math.Phys.192:217-244,1998

10.1007/s002200050297

null

hep-th funct-an math.FA

null

Starting with a conformal Quantum Field Theory on the real line, we show that the dual net is still conformal with respect to a new representation of the Moebius group. We infer from this that every conformal net is normal and conormal, namely the local von Neumann algebra associated with an interval coincides with its double relative commutant inside the local von Neumann algebra associated with any larger interval. The net and the dual net give together rise to an infinite dimensional symmetry group, of which we study a class of positive energy irreducible representations. We mention how superselsection sectors extend to the dual net and we illustrate by examples how, in general, this process generates solitonic sectors. We describe the free theories associated with the lowest weight n representations of PSL(2,R), showing that they violate 3-regularity for n>2. When n>1, we obtain examples of non Moebius-covariant sectors of a 3-regular (non 4-regular) net.

[ { "created": "Tue, 18 Mar 1997 18:50:07 GMT", "version": "v1" }, { "created": "Fri, 11 Jul 1997 11:04:46 GMT", "version": "v2" } ]

2011-04-06

[ [ "Guido", "Daniele", "", "U. Roma \"Tor Vergata\"" ], [ "Longo", "Roberto", "", "U. Roma \"Tor\n Vergata\"" ], [ "Wiesbrock", "Hans-Werner", "", "Freie Universitaet Berlin" ] ]

Starting with a conformal Quantum Field Theory on the real line, we show that the dual net is still conformal with respect to a new representation of the Moebius group. We infer from this that every conformal net is normal and conormal, namely the local von Neumann algebra associated with an interval coincides with its double relative commutant inside the local von Neumann algebra associated with any larger interval. The net and the dual net give together rise to an infinite dimensional symmetry group, of which we study a class of positive energy irreducible representations. We mention how superselsection sectors extend to the dual net and we illustrate by examples how, in general, this process generates solitonic sectors. We describe the free theories associated with the lowest weight n representations of PSL(2,R), showing that they violate 3-regularity for n>2. When n>1, we obtain examples of non Moebius-covariant sectors of a 3-regular (non 4-regular) net.

13.985553

16.115702

16.720562

15.05535

15.38956

15.720124

18.484413

14.895563

13.860302

17.346685

14.524208

14.08096

14.470137

14.257215

13.805292

14.449207

14.017877

14.434088

13.953991

14.681221

13.489573

hep-th/0507028

Kourosh Nozari

Kourosh Nozari and Mojdeh Karami

Minimal Length and Generalized Dirac Equation

10 pages, no figure

Mod.Phys.Lett. A20 (2005) 3095-3104

10.1142/S0217732305018517

null

hep-th

null

Existence of a minimal observable length which has been indicated by string theory and quantum gravity, leads to a modification of Dirac equation. In this letter we find this modified Dirac equation and solve its eigenvalue problem for a free particle. We will show that due to background spacetime fluctuation, it is impossible to have free particle in Planck scale.

[ { "created": "Sun, 3 Jul 2005 03:35:42 GMT", "version": "v1" } ]

2009-11-11

[ [ "Nozari", "Kourosh", "" ], [ "Karami", "Mojdeh", "" ] ]

Existence of a minimal observable length which has been indicated by string theory and quantum gravity, leads to a modification of Dirac equation. In this letter we find this modified Dirac equation and solve its eigenvalue problem for a free particle. We will show that due to background spacetime fluctuation, it is impossible to have free particle in Planck scale.

11.291652

8.452084

9.414745

8.476597

8.782801

8.438072

7.917697

7.973462

9.403583

9.463357

8.896356

8.780763

9.09479

8.913481

8.828734

8.739033

8.874766

8.761388

8.750844

9.590726

9.311236

1604.05195

Marc Geiller

Bianca Dittrich, Marc Geiller

Quantum gravity kinematics from extended TQFTs

81 pages

New J. Phys. 19 (2017) 013003

10.1088/1367-2630/aa54e2

null

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

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

We show how extended topological quantum field theories (TQFTs) can be used to obtain a kinematical setup for quantum gravity, i.e. a kinematical Hilbert space together with a representation of the observable algebra including operators of quantum geometry. In particular, we consider the holonomy-flux algebra of (2+1)-dimensional Euclidean loop quantum gravity, and construct a new representation of this algebra that incorporates a positive cosmological constant. The vacuum state underlying our representation is defined by the Turaev-Viro TQFT. We therefore construct here a generalization, or more precisely a quantum deformation at root of unity, of the previously-introduced SU(2) BF representation. The extended Turaev-Viro TQFT provides a description of the excitations on top of the vacuum, which are essential to allow for a representation of the holonomies and fluxes. These excitations agree with the ones induced by massive and spinning particles, and therefore the framework presented here allows automatically for a description of the coupling of such matter to (2+1)-dimensional gravity with a cosmological constant. The new representation presents a number of advantages over the representations which exist so far. It possesses a very useful finiteness property which guarantees the discreteness of spectra for a wide class of quantum (intrinsic and extrinsic) geometrical operators. The notion of basic excitations leads to a fusion basis which offers exciting possibilities for constructing states with interesting global properties. The work presented here showcases how the framework of extended TQFTs can help design new representations and understand the associated notion of basic excitations. This is essential for the construction of the dynamics of quantum gravity, and will enable the study of possible phases of spin foam models and group field theories from a new perspective.

[ { "created": "Mon, 18 Apr 2016 15:07:27 GMT", "version": "v1" }, { "created": "Fri, 6 Jan 2017 23:40:55 GMT", "version": "v2" } ]

2017-01-10

[ [ "Dittrich", "Bianca", "" ], [ "Geiller", "Marc", "" ] ]

We show how extended topological quantum field theories (TQFTs) can be used to obtain a kinematical setup for quantum gravity, i.e. a kinematical Hilbert space together with a representation of the observable algebra including operators of quantum geometry. In particular, we consider the holonomy-flux algebra of (2+1)-dimensional Euclidean loop quantum gravity, and construct a new representation of this algebra that incorporates a positive cosmological constant. The vacuum state underlying our representation is defined by the Turaev-Viro TQFT. We therefore construct here a generalization, or more precisely a quantum deformation at root of unity, of the previously-introduced SU(2) BF representation. The extended Turaev-Viro TQFT provides a description of the excitations on top of the vacuum, which are essential to allow for a representation of the holonomies and fluxes. These excitations agree with the ones induced by massive and spinning particles, and therefore the framework presented here allows automatically for a description of the coupling of such matter to (2+1)-dimensional gravity with a cosmological constant. The new representation presents a number of advantages over the representations which exist so far. It possesses a very useful finiteness property which guarantees the discreteness of spectra for a wide class of quantum (intrinsic and extrinsic) geometrical operators. The notion of basic excitations leads to a fusion basis which offers exciting possibilities for constructing states with interesting global properties. The work presented here showcases how the framework of extended TQFTs can help design new representations and understand the associated notion of basic excitations. This is essential for the construction of the dynamics of quantum gravity, and will enable the study of possible phases of spin foam models and group field theories from a new perspective.

8.585353

9.581604

8.863513

8.9178

10.026199

9.279922

10.577483

8.77624

9.596229

9.500162

9.484716

8.953942

8.499872

8.390133

8.694364

8.660979

8.782555

8.687004

8.490359

8.663072

8.720419

1608.03919

Seok Kim

Hee-Cheol Kim, Seok Kim, Jaemo Park

6d strings from new chiral gauge theories

54 pages, no figures

null

SNUTP16-002

hep-th

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

We study the 6d $\mathcal{N}=(1,0)$ superconformal field theory with smallest non-Higgsable gauge symmetry $SU(3)$. In particular, we propose new 2d gauge theory descriptions of its self-dual strings in the tensor branch. We use our gauge theories to compute the elliptic genera of the self-dual strings, which completely agree with the partial data known from topological strings. We further study the strings of the $(E_6,E_6)$ conformal matter by generalizing our 2d gauge theories. We also show that anomalies of all our gauge theories agree with the self-dual string anomalies computed by inflows from 6d.

[ { "created": "Fri, 12 Aug 2016 22:25:32 GMT", "version": "v1" } ]

2016-08-16

[ [ "Kim", "Hee-Cheol", "" ], [ "Kim", "Seok", "" ], [ "Park", "Jaemo", "" ] ]

We study the 6d $\mathcal{N}=(1,0)$ superconformal field theory with smallest non-Higgsable gauge symmetry $SU(3)$. In particular, we propose new 2d gauge theory descriptions of its self-dual strings in the tensor branch. We use our gauge theories to compute the elliptic genera of the self-dual strings, which completely agree with the partial data known from topological strings. We further study the strings of the $(E_6,E_6)$ conformal matter by generalizing our 2d gauge theories. We also show that anomalies of all our gauge theories agree with the self-dual string anomalies computed by inflows from 6d.

7.037291

6.129078

8.924315

5.948109

6.240785

6.189236

6.214952

6.023289

6.181597

8.627413

5.884062

6.212303

7.338852

6.105403

6.338462

6.42268

6.157321

6.315501

6.218609

6.981585

6.422166

1903.09309

Ichiro Oda

Planck and Electroweak Scales Emerging from Weyl Conformal Gravity

12 pages; Contribution to the Proceedings of the Corfu Summer Institute 2018, Aug-Sep 2018, Corfu, Greece

null

DPUR/TH/63

hep-th gr-qc hep-ph

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

We show that the Planck mass scale can be generated from conformal gravity in the Weyl conformal geometry via the Coleman-Weinberg mechanism of dimensional transmutation where quantum corrections stemming from the gravitational field and the Weyl gauge field trigger the symmetry breakdown of a local Weyl symmetry. It is also shown that the vacuum expectation value of a scalar field is transmitted to a sector of the standard model through a potential involving the scale invariant part and the contribution from the Coleman-Weinberg mechanism, thereby generating the electroweak scale.

[ { "created": "Fri, 22 Mar 2019 02:01:16 GMT", "version": "v1" } ]

2019-03-25

[ [ "Oda", "Ichiro", "" ] ]

We show that the Planck mass scale can be generated from conformal gravity in the Weyl conformal geometry via the Coleman-Weinberg mechanism of dimensional transmutation where quantum corrections stemming from the gravitational field and the Weyl gauge field trigger the symmetry breakdown of a local Weyl symmetry. It is also shown that the vacuum expectation value of a scalar field is transmitted to a sector of the standard model through a potential involving the scale invariant part and the contribution from the Coleman-Weinberg mechanism, thereby generating the electroweak scale.

9.257754

7.714427

8.431437

7.89869

9.318891

8.984421

9.104071

7.427804

8.284838

8.576979

8.275652

8.810707

8.585955

8.407453

8.767105

8.51862

8.779121

8.612283

8.688749

8.375351

8.750823

1810.03768

Toshiaki Fujimori

Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai

Bion non-perturbative contributions versus infrared renormalons in two-dimensional $\mathbb C P^{N-1}$ models

42 pages,

JHEP 02 (2019) 190

10.1007/JHEP02(2019)190

null

hep-th

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

We derive the semiclassical contributions from the real and complex bions in the two-dimensional $\mathbb C P^{N-1}$ sigma model on ${\mathbb R} \times S^{1}$ with a twisted boundary condition. The bion configurations are saddle points of the complexified Euclidean action, which can be viewed as bound states of a pair of fractional instantons with opposite topological charges. We first derive the bion solutions by solving the equation of motion in the model with a potential which simulates an interaction induced by fermions in the $\mathbb C P^{N-1}$ quantum mechanics. The bion solutions have quasi-moduli parameters corresponding to the relative distance and phase between the constituent fractional instantons. By summing over the Kaluza-Klein modes of the quantum fluctuations around the bion backgrounds, we find that the effective action for the quasi-moduli parameters is renormalized and becomes a function of the dynamical scale (or the renormalized coupling constant). Based on the renormalized effective action, we obtain the semiclassical bion contribution in a weak coupling limit by making use of the Lefschetz thimble method. We find that the non-perturbative contribution vanishes in the supersymmetric case and it has an imaginary ambiguity which is consistent with the expected infrared renormalon ambiguity in non-supersymmetric cases. This is the first explicit result indicating the relation between the complex bion and the infrared renormalon.

[ { "created": "Tue, 9 Oct 2018 01:44:24 GMT", "version": "v1" } ]

2019-03-04

[ [ "Fujimori", "Toshiaki", "" ], [ "Kamata", "Syo", "" ], [ "Misumi", "Tatsuhiro", "" ], [ "Nitta", "Muneto", "" ], [ "Sakai", "Norisuke", "" ] ]

We derive the semiclassical contributions from the real and complex bions in the two-dimensional $\mathbb C P^{N-1}$ sigma model on ${\mathbb R} \times S^{1}$ with a twisted boundary condition. The bion configurations are saddle points of the complexified Euclidean action, which can be viewed as bound states of a pair of fractional instantons with opposite topological charges. We first derive the bion solutions by solving the equation of motion in the model with a potential which simulates an interaction induced by fermions in the $\mathbb C P^{N-1}$ quantum mechanics. The bion solutions have quasi-moduli parameters corresponding to the relative distance and phase between the constituent fractional instantons. By summing over the Kaluza-Klein modes of the quantum fluctuations around the bion backgrounds, we find that the effective action for the quasi-moduli parameters is renormalized and becomes a function of the dynamical scale (or the renormalized coupling constant). Based on the renormalized effective action, we obtain the semiclassical bion contribution in a weak coupling limit by making use of the Lefschetz thimble method. We find that the non-perturbative contribution vanishes in the supersymmetric case and it has an imaginary ambiguity which is consistent with the expected infrared renormalon ambiguity in non-supersymmetric cases. This is the first explicit result indicating the relation between the complex bion and the infrared renormalon.

5.48726

5.176441

5.710406

5.07157

5.303367

5.254063

5.313024

5.153457

5.23469

6.330059

4.969503

5.332184

5.479068

5.358207

5.368275

5.213372

5.280982

5.260784

5.325615

5.573246

5.318578

1709.04897

Andrei Mironov

G. Aminov, A. Mironov and A. Morozov

Modular properties of 6d (DELL) systems

23 pages

JHEP, 23 (2017) 2017

10.1007/JHEP11(2017)023

FIAN/TD-22/17; IITP/TH-15/17; ITEP/TH-24/17

hep-th

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

If super-Yang-Mills theory possesses the exact conformal invariance, there is an additional modular invariance under the change of the complex bare charge $\tau = \frac{\theta}{2\pi}+ \frac{4\pi\imath}{g^2}\longrightarrow -\frac{1}{\tau}$. The low-energy Seiberg-Witten prepotential ${\cal F}(a)$, however, is not explicitly invariant, because the flat moduli also change $a \longrightarrow a_D = \partial{\cal F}/\partial a$. In result, the prepotential is not a modular form and depends also on the anomalous Eisenstein series $E_2$. This dependence is usually described by the universal MNW modular anomaly equation. We demonstrate that, in the $6d$ $SU(N)$ theory with {\it two} independent modular parameters $\tau$ and $\hat \tau$, the modular anomaly equation changes, because the modular transform of $\tau$ is accompanied by an ($N$-dependent!) shift of $\hat\tau$ and vice versa. This is a new peculiarity of double-elliptic systems, which deserves further investigation.

[ { "created": "Thu, 14 Sep 2017 17:37:30 GMT", "version": "v1" } ]

2017-11-17

[ [ "Aminov", "G.", "" ], [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ] ]

If super-Yang-Mills theory possesses the exact conformal invariance, there is an additional modular invariance under the change of the complex bare charge $\tau = \frac{\theta}{2\pi}+ \frac{4\pi\imath}{g^2}\longrightarrow -\frac{1}{\tau}$. The low-energy Seiberg-Witten prepotential ${\cal F}(a)$, however, is not explicitly invariant, because the flat moduli also change $a \longrightarrow a_D = \partial{\cal F}/\partial a$. In result, the prepotential is not a modular form and depends also on the anomalous Eisenstein series $E_2$. This dependence is usually described by the universal MNW modular anomaly equation. We demonstrate that, in the $6d$ $SU(N)$ theory with {\it two} independent modular parameters $\tau$ and $\hat \tau$, the modular anomaly equation changes, because the modular transform of $\tau$ is accompanied by an ($N$-dependent!) shift of $\hat\tau$ and vice versa. This is a new peculiarity of double-elliptic systems, which deserves further investigation.

8.403319

8.558406

9.759367

8.363417

8.359709

8.696086

8.938288

8.336103

7.718118

9.715742

8.338997

7.901641

8.156267

7.948157

8.017342

7.852476

7.710829

7.809273

7.96808

8.121023

7.749911

0712.2717

Pantelis Manousselis

A. Chatzistavrakidis, P. Manousselis, N. Prezas, G. Zoupanos

Coset Space Dimensional Reduction of Einstein--Yang--Mills theory

15 pages, Contribution to the workshop "Challenges Beyond the Standard Model", September 2-9, 2007, Kladovo, Serbia. To appear in Fortsch.Phys

Fortsch.Phys.56:389-399,2008

10.1002/prop.200710510

null

hep-th

null

In the present contribution we extend our previous work by considering the coset space dimensional reduction of higher-dimensional Einstein--Yang--Mills theories including scalar fluctuations as well as Kaluza--Klein excitations of the compactification metric and we describe the gravity-modified rules for the reduction of non-abelian gauge theories.

[ { "created": "Mon, 17 Dec 2007 13:30:33 GMT", "version": "v1" } ]

2008-11-26

[ [ "Chatzistavrakidis", "A.", "" ], [ "Manousselis", "P.", "" ], [ "Prezas", "N.", "" ], [ "Zoupanos", "G.", "" ] ]

In the present contribution we extend our previous work by considering the coset space dimensional reduction of higher-dimensional Einstein--Yang--Mills theories including scalar fluctuations as well as Kaluza--Klein excitations of the compactification metric and we describe the gravity-modified rules for the reduction of non-abelian gauge theories.

14.416345

12.491529

11.66861

11.17464

12.234025

13.318092

12.912417

12.89989

13.182203

12.814361

11.527942

12.117664

11.533087

12.427183

13.045373

12.311882

12.113489

11.91899

12.349532

12.318663

12.112956

hep-th/0506003

Jerzy Kr\'ol

Model theory and the AdS/CFT correspondence

17 pages, presented at the IPM String School and Workshop, Queshm Island, Iran, 05-14. 01. 2005. Some bibliographical corrections included

null

hep-th

null

We give arguments that exotic smooth structures on compact and noncompact 4-manifolds are essential for some approaches to quantum gravity. We rely on the recently developed model-theoretic approach to exotic smoothness in dimension four. It is possible to conjecture that exotic $R^4$'s play fundamental role in quantum gravity similarily as standard local 4-spacetime patches do for classical general relativity. Renormalization in gravity--field theory limit of AdS/CFT correspondence is reformulated in terms of exotic $R^4$'s. We show how doubly special relativity program can be related to some model-theoretic self-dual $R^4$'s. The relevance of the structures for the Maldacena conjecture is discussed, though explicit calculations refer to the would be noncompact smooth 4-invariants based on the intuitionistic logic.

[ { "created": "Wed, 1 Jun 2005 08:23:35 GMT", "version": "v1" }, { "created": "Sat, 11 Jun 2005 10:46:25 GMT", "version": "v2" } ]

2007-05-23

[ [ "Król", "Jerzy", "" ] ]

We give arguments that exotic smooth structures on compact and noncompact 4-manifolds are essential for some approaches to quantum gravity. We rely on the recently developed model-theoretic approach to exotic smoothness in dimension four. It is possible to conjecture that exotic $R^4$'s play fundamental role in quantum gravity similarily as standard local 4-spacetime patches do for classical general relativity. Renormalization in gravity--field theory limit of AdS/CFT correspondence is reformulated in terms of exotic $R^4$'s. We show how doubly special relativity program can be related to some model-theoretic self-dual $R^4$'s. The relevance of the structures for the Maldacena conjecture is discussed, though explicit calculations refer to the would be noncompact smooth 4-invariants based on the intuitionistic logic.

14.505341

16.212296

13.786103

13.941923

14.526615

13.978385

15.802533

13.71838

13.668989

14.478933

13.972454

13.26346

14.337125

13.233813

13.95819

13.596246

13.882921

13.510536

13.86418

14.537585

14.183662

1805.04194

Sean A. Hartnoll

Luca V. Delacr\'etaz, Thomas Hartman, Sean A. Hartnoll and Aitor Lewkowycz

Thermalization, Viscosity and the Averaged Null Energy Condition

28 pages, 3 figures

null

10.1007/JHEP10(2018)028

null

hep-th cond-mat.str-el

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

We explore the implications of the averaged null energy condition for thermal states of relativistic quantum field theories. A key property of such thermal states is the thermalization length. This lengthscale generalizes the notion of a mean free path beyond weak coupling, and allows finite size regions to independently thermalize. Using the eigenstate thermalization hypothesis, we show that thermal fluctuations in finite size `fireballs' can produce states that violate the averaged null energy condition if the thermalization length is too short or if the shear viscosity is too large. These bounds become very weak with a large number N of degrees of freedom but can constrain real-world systems, such as the quark-gluon plasma.

[ { "created": "Thu, 10 May 2018 22:18:17 GMT", "version": "v1" } ]

2018-11-14

[ [ "Delacrétaz", "Luca V.", "" ], [ "Hartman", "Thomas", "" ], [ "Hartnoll", "Sean A.", "" ], [ "Lewkowycz", "Aitor", "" ] ]

We explore the implications of the averaged null energy condition for thermal states of relativistic quantum field theories. A key property of such thermal states is the thermalization length. This lengthscale generalizes the notion of a mean free path beyond weak coupling, and allows finite size regions to independently thermalize. Using the eigenstate thermalization hypothesis, we show that thermal fluctuations in finite size `fireballs' can produce states that violate the averaged null energy condition if the thermalization length is too short or if the shear viscosity is too large. These bounds become very weak with a large number N of degrees of freedom but can constrain real-world systems, such as the quark-gluon plasma.

9.679381

10.665123

10.557463

9.71571

11.06968

11.387536

11.23202

10.487501

9.327343

10.071168

9.32123

9.584373

9.857595

9.809873

9.573627

9.46503

9.938707

9.675257

9.986129

10.278053

9.496218

hep-th/9803054

Angel Uranga

Angel M. Uranga

Towards Mass Deformed N=4 SO(n) and Sp(k) gauge configurations

48 pages, 6 figures (included). One reference corrected

Nucl.Phys.B526:241-277,1998

10.1016/S0550-3213(98)00370-8

IASSNS-HEP-98/8

hep-th

null

We study the introduction of orientifold six-planes in the type IIA brane configurations known as elliptic models. The N=4 SO(n) and $Sp(k)$ theories softly broken to N=2 through a mass for the adjoint hypermultiplet can be realized in this framework in the presence of two orientifold planes with opposite RR charge. A large class of $\b=0$ models is solved for vanishing sum of hypermultiplet masses by embedding the type IIA configuration into M-theory. We also find a geometric interpretation of Montonen-Olive duality based on the properties of the curves. We make a proposal for the introduction of non-vanishing sum of hypermultiplet masses in a sub-class of models. In the presence of two negatively charged orientifold planes and four D6-branes other interesting $\beta=0$ theories are constructed, e.g. $Sp(k)$ with four flavours and a massive antisymmetric hypermultiplet. We comment on the difficulties in obtaining the curves within our framework due to the arbitrary positions of the D6-branes.

[ { "created": "Fri, 6 Mar 1998 03:19:35 GMT", "version": "v1" }, { "created": "Tue, 17 Mar 1998 23:22:12 GMT", "version": "v2" } ]

2009-10-09

[ [ "Uranga", "Angel M.", "" ] ]

We study the introduction of orientifold six-planes in the type IIA brane configurations known as elliptic models. The N=4 SO(n) and $Sp(k)$ theories softly broken to N=2 through a mass for the adjoint hypermultiplet can be realized in this framework in the presence of two orientifold planes with opposite RR charge. A large class of $\b=0$ models is solved for vanishing sum of hypermultiplet masses by embedding the type IIA configuration into M-theory. We also find a geometric interpretation of Montonen-Olive duality based on the properties of the curves. We make a proposal for the introduction of non-vanishing sum of hypermultiplet masses in a sub-class of models. In the presence of two negatively charged orientifold planes and four D6-branes other interesting $\beta=0$ theories are constructed, e.g. $Sp(k)$ with four flavours and a massive antisymmetric hypermultiplet. We comment on the difficulties in obtaining the curves within our framework due to the arbitrary positions of the D6-branes.

9.691762

9.102458

10.902338

8.603202

8.969058

9.187473

9.343292

9.42591

9.279846

11.640623

8.549954

8.948615

9.407837

9.065843

9.150849

9.036633

8.73388

9.028057

8.931044

9.858249

9.033368

1009.5386

I\~naki Garc\'ia-Etxebarria

Mirjam Cveti\v{c}, I\~naki Garc\'ia-Etxebarria and James Halverson

On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective

52 pages. v2: Added refs, fixed typos

null

10.1002/prop.201000093

UPR-1219-T, NSF-KITP-10-124

hep-th hep-ph math.AG

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

We discuss a number of issues arising when computing non-perturbative effects systematically across the string theory landscape. In particular, we cast the study of fairly generic physical properties into the language of computability/number theory and show that this amounts to solving systems of diophantine equations. In analogy to the negative solution to Hilbert's 10th problem, we argue that in such systematic studies there may be no algorithm by which one can determine all physical effects. We take large volume type IIB compactifications as an example, with the physical property of interest being the low-energy non-perturbative F-terms of a generic compactification. A similar analysis is expected to hold for other kinds of string vacua, and we discuss in particular the extension of our ideas to F-theory. While these results imply that it may not be possible to answer systematically certain physical questions about generic type IIB compactifications, we identify particular Calabi-Yau manifolds in which the diophantine equations become linear, and thus can be systematically solved. As part of the study of the required systematics of F-terms, we develop technology for computing Z_2 equivariant line bundle cohomology on toric varieties, which determines the presence of particular instanton zero modes via the Koszul complex. This is of general interest for realistic IIB model building on complete intersections in toric ambient spaces.

[ { "created": "Mon, 27 Sep 2010 20:06:43 GMT", "version": "v1" }, { "created": "Tue, 2 Nov 2010 16:28:57 GMT", "version": "v2" } ]

2015-05-20

[ [ "Cvetič", "Mirjam", "" ], [ "García-Etxebarria", "Iñaki", "" ], [ "Halverson", "James", "" ] ]

We discuss a number of issues arising when computing non-perturbative effects systematically across the string theory landscape. In particular, we cast the study of fairly generic physical properties into the language of computability/number theory and show that this amounts to solving systems of diophantine equations. In analogy to the negative solution to Hilbert's 10th problem, we argue that in such systematic studies there may be no algorithm by which one can determine all physical effects. We take large volume type IIB compactifications as an example, with the physical property of interest being the low-energy non-perturbative F-terms of a generic compactification. A similar analysis is expected to hold for other kinds of string vacua, and we discuss in particular the extension of our ideas to F-theory. While these results imply that it may not be possible to answer systematically certain physical questions about generic type IIB compactifications, we identify particular Calabi-Yau manifolds in which the diophantine equations become linear, and thus can be systematically solved. As part of the study of the required systematics of F-terms, we develop technology for computing Z_2 equivariant line bundle cohomology on toric varieties, which determines the presence of particular instanton zero modes via the Koszul complex. This is of general interest for realistic IIB model building on complete intersections in toric ambient spaces.

10.396206

10.543113

11.212587

10.680059

11.146307

11.579775

10.640152

10.57918

10.66882

12.147293

10.033438

10.248477

10.542444

9.959178

10.070608

10.252921

10.146612

9.962016

10.108177

10.529161

10.034545

0711.1045

Shinsuke Kawai

Shinsuke Kawai, Yuji Sugawara

Mirrorfolds with K3 Fibrations

Eqns (2.61) and (3.17) corrected

JHEP0802:065,2008

10.1088/1126-6708/2008/02/065

UT-07-36, HIP-07-59/TH

hep-th

null

We study a class of non-geometric string vacua realized as completely soluble superconformal field theory (SCFT). These models are defined as `interpolating orbifolds' of $K3 \times S^1$ by the mirror transformation acting on the $K3$ fiber combined with the half-shift on the $S^1$-base. They are variants of the T-folds, the interpolating orbifolds by T-duality transformations, and thus may be called `mirrorfolds'. Starting with arbitrary (compact or non-compact) Gepner models for the $K3$ fiber, we construct modular invariant partition functions of general mirrorfold models. In the case of compact $K3$ fiber the mirrorfolds only yield non-supersymmetric string vacua. They exhibit IR instability due to winding tachyon condensation which is similar to the Scherk-Schwarz type circle compactification. When the fiber SCFT is non-compact (say, the ALE space in the simplest case), on the other hand, both supersymmetric and non-supersymmetric vacua can be constructed. The non-compact non-supersymmetric mirrorfolds can get stabilised at the level of string perturbation theory. We also find that in the non-compact supersymmeric mirrorfolds D-branes are {\em always} non-BPS. These D-branes can get stabilized against both open- and closed-string marginal deformations.

[ { "created": "Wed, 7 Nov 2007 09:49:51 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2008 17:10:51 GMT", "version": "v2" }, { "created": "Tue, 6 May 2008 22:16:35 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kawai", "Shinsuke", "" ], [ "Sugawara", "Yuji", "" ] ]

We study a class of non-geometric string vacua realized as completely soluble superconformal field theory (SCFT). These models are defined as `interpolating orbifolds' of $K3 \times S^1$ by the mirror transformation acting on the $K3$ fiber combined with the half-shift on the $S^1$-base. They are variants of the T-folds, the interpolating orbifolds by T-duality transformations, and thus may be called `mirrorfolds'. Starting with arbitrary (compact or non-compact) Gepner models for the $K3$ fiber, we construct modular invariant partition functions of general mirrorfold models. In the case of compact $K3$ fiber the mirrorfolds only yield non-supersymmetric string vacua. They exhibit IR instability due to winding tachyon condensation which is similar to the Scherk-Schwarz type circle compactification. When the fiber SCFT is non-compact (say, the ALE space in the simplest case), on the other hand, both supersymmetric and non-supersymmetric vacua can be constructed. The non-compact non-supersymmetric mirrorfolds can get stabilised at the level of string perturbation theory. We also find that in the non-compact supersymmeric mirrorfolds D-branes are {\em always} non-BPS. These D-branes can get stabilized against both open- and closed-string marginal deformations.

8.063956

8.38469

9.790049

8.012501

8.587379

8.687588

8.117717

8.252966

7.868774

9.769418

7.914427

8.023776

7.961451

7.806755

7.894625

8.015465

8.000145

7.851784

7.89481

8.098369

7.709643

hep-th/0208130

Klaus Kirsten

Peter Gilkey, Klaus Kirsten and Dmitri Vassilevich

Heat trace asymptotics defined by transfer boundary conditions

7 pages

Lett.Math.Phys. 63 (2003) 29-37

null

hep-th

null

We compute the first 5 terms in the short-time heat trace asymptotics expansion for an operator of Laplace type with transfer boundary conditions using the functorial properties of these invariants.

[ { "created": "Mon, 19 Aug 2002 08:27:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gilkey", "Peter", "" ], [ "Kirsten", "Klaus", "" ], [ "Vassilevich", "Dmitri", "" ] ]

We compute the first 5 terms in the short-time heat trace asymptotics expansion for an operator of Laplace type with transfer boundary conditions using the functorial properties of these invariants.

22.981131

20.378771

30.621435

22.069832

22.000137

24.362223

26.744383

24.481285

18.993565

33.850201

19.922997

22.873169

23.363947

23.801817

22.179253

21.379633

21.532808

23.42658

21.709904

25.267902

21.95186

0912.1489

Antonio Capolupo Dr

Massimo Blasone, Antonio Capolupo and Giuseppe Vitiello

Particle mixing, flavor condensate and dark energy

3 pages, Presented at the Conference Neutrinos in Cosmology, Astro-, Particle- and Nuclear Physics, Erice School on Nuclear Physics, Erice, Italy, 16-24 Sep 2009

Prog.Part.Nucl.Phys.64:451-453,2010

10.1016/j.ppnp.2009.12.073

null

hep-th

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

The mixing of neutrinos and quarks generate a vacuum condensate that, at the present epoch, behaves as a cosmological constant. The value of the dark energy is constrained today by the very small breaking of the Lorentz invariance.

[ { "created": "Tue, 8 Dec 2009 13:20:13 GMT", "version": "v1" } ]

2014-11-20

[ [ "Blasone", "Massimo", "" ], [ "Capolupo", "Antonio", "" ], [ "Vitiello", "Giuseppe", "" ] ]

The mixing of neutrinos and quarks generate a vacuum condensate that, at the present epoch, behaves as a cosmological constant. The value of the dark energy is constrained today by the very small breaking of the Lorentz invariance.

14.71555

11.540544

13.073239

11.734834

11.965138

13.335464

13.762753

12.199934

13.097812

14.229515

11.365463

12.858384

13.271287

13.473875

12.617052

12.320965

12.617756

13.229154

12.798474

12.82515

12.402651

1907.13491

David Pirtskhalava

Gregory Gabadadze, Daniel Older, David Pirtskhalava

Resolving the vDVZ and Strong Coupling Problems in Massive Gravity and Bigravity

29 + 14 pages

Phys. Rev. D 100, 124017 (2019)

10.1103/PhysRevD.100.124017

null

hep-th gr-qc hep-ph

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

As is well known, both massive gravity and bigravity exhibit the linear van Dam-Veltman-Zakharov (vDVZ) discontinuity that is cured classically by the nonlinear Vainshtein mechanism due to certain low scale strongly coupled interactions. Here we show how both the vDVZ and strong coupling problems can be removed by embedding 4D covariant massive gravity into a certain 5D warped geometry. The 4D theory is a nonlinear strongly coupled massive gravity, that is being coupled to a 5D bulk theory that generates a bulk graviton mass via a one loop diagram. This induced mass leads to an additional 4D kinetic term for the 4D longitudinal mode, even on flat space. Due to this kinetic term the 4D massive theory becomes weakly coupled all the way up to a high energy scale set by the bulk cosmological constant. The same effect leads to a suppression of the interactions of the 4D longitudinal mode with a 4D matter stress-tensor, thus removing the vDVZ discontinuity. The proposed mechanism has a pure 4D holographic interpretation: a 4D nonlinear massive gravity mixes to a non-conserved symmetric tensor of a 4D CFT that has a cutoff; the latter mixing generates a large kinetic term for the longitudinal mode, and this makes the longitudinal mode be weakly coupled to a matter stress-tensor, and weakly self-coupled, all the way up to the scale of the 4D CFT cutoff.

[ { "created": "Wed, 31 Jul 2019 13:24:39 GMT", "version": "v1" } ]

2019-12-11

[ [ "Gabadadze", "Gregory", "" ], [ "Older", "Daniel", "" ], [ "Pirtskhalava", "David", "" ] ]

As is well known, both massive gravity and bigravity exhibit the linear van Dam-Veltman-Zakharov (vDVZ) discontinuity that is cured classically by the nonlinear Vainshtein mechanism due to certain low scale strongly coupled interactions. Here we show how both the vDVZ and strong coupling problems can be removed by embedding 4D covariant massive gravity into a certain 5D warped geometry. The 4D theory is a nonlinear strongly coupled massive gravity, that is being coupled to a 5D bulk theory that generates a bulk graviton mass via a one loop diagram. This induced mass leads to an additional 4D kinetic term for the 4D longitudinal mode, even on flat space. Due to this kinetic term the 4D massive theory becomes weakly coupled all the way up to a high energy scale set by the bulk cosmological constant. The same effect leads to a suppression of the interactions of the 4D longitudinal mode with a 4D matter stress-tensor, thus removing the vDVZ discontinuity. The proposed mechanism has a pure 4D holographic interpretation: a 4D nonlinear massive gravity mixes to a non-conserved symmetric tensor of a 4D CFT that has a cutoff; the latter mixing generates a large kinetic term for the longitudinal mode, and this makes the longitudinal mode be weakly coupled to a matter stress-tensor, and weakly self-coupled, all the way up to the scale of the 4D CFT cutoff.

7.637027

7.863551

8.026335

7.353775

7.558739

7.875384

7.891199

7.897504

7.761668

7.984655

7.481487

7.362366

7.695899

7.315411

7.348553

7.205054

7.240902

7.414649

7.318861

7.474874

7.372623

1309.0821

Alessio Marrani

L.G.C. Gentile, P.A. Grassi, A. Marrani, and A. Mezzalira

Fermions, Wigs, and Attractors

v2 : 1+11 pages; paper reorganized in Sections; Sec. 5 added, with detailed treatment of the axion-dilaton model; some typos fixed and references added

null

10.1016/j.physletb.2014.03.046

DFPD-13/TH/16

hep-th

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

We compute the modifications to the attractor mechanism due to fermionic corrections. In N=2, D=4 supergravity, at the fourth order, we find a new contribution to the horizon values of the scalar fields of the vector multiplets.

[ { "created": "Tue, 3 Sep 2013 20:00:10 GMT", "version": "v1" }, { "created": "Wed, 4 Jun 2014 13:50:18 GMT", "version": "v2" } ]

2015-06-17

[ [ "Gentile", "L. G. C.", "" ], [ "Grassi", "P. A.", "" ], [ "Marrani", "A.", "" ], [ "Mezzalira", "A.", "" ] ]

We compute the modifications to the attractor mechanism due to fermionic corrections. In N=2, D=4 supergravity, at the fourth order, we find a new contribution to the horizon values of the scalar fields of the vector multiplets.

11.457977

7.503474

12.744991

7.862981

8.495904

8.351995

9.020728

9.264369

8.101756

13.456953

8.245863

8.703522

10.008658

8.85699

9.136076

9.090044

8.653415

8.724938

9.045517

9.993318

8.631519

0909.0503

Neil Barnaby

Neil Barnaby, J. Richard Bond, Zhiqi Huang and Lev Kofman

Preheating After Modular Inflation

34 pages, 10 figures. Accepted for publication in JCAP

JCAP 0912:021,2009

10.1088/1475-7516/2009/12/021

null

hep-th astro-ph.CO hep-ph

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

We study (p)reheating in modular (closed string) inflationary scenarios, with a special emphasis on Kahler moduli/Roulette models. It is usually assumed that reheating in such models occurs through perturbative decays. However, we find that there are very strong non-perturbative preheating decay channels related to the particular shape of the inflaton potential (which is highly nonlinear and has a very steep minimum). Preheating after modular inflation, proceeding through a combination of tachyonic instability and broad-band parametric resonance, is perhaps the most violent example of preheating after inflation known in the literature. Further, we consider the subsequent transfer of energy to the standard model sector in scenarios where the standard model particles are confined to a D7-brane wrapping the inflationary blow-up cycle of the compactification manifold or, more interestingly, a non-inflationary blow up cycle. We explicitly identify the decay channels of the inflaton in these two scenarios. We also consider the case where the inflationary cycle shrinks to the string scale at the end of inflation; here a field theoretical treatment of reheating is insufficient and one must turn instead to a stringy description. We estimate the decay rate of the inflaton and the reheat temperature for various scenarios.

[ { "created": "Wed, 2 Sep 2009 20:18:05 GMT", "version": "v1" }, { "created": "Sun, 13 Dec 2009 18:10:32 GMT", "version": "v2" } ]

2010-01-15

[ [ "Barnaby", "Neil", "" ], [ "Bond", "J. Richard", "" ], [ "Huang", "Zhiqi", "" ], [ "Kofman", "Lev", "" ] ]

We study (p)reheating in modular (closed string) inflationary scenarios, with a special emphasis on Kahler moduli/Roulette models. It is usually assumed that reheating in such models occurs through perturbative decays. However, we find that there are very strong non-perturbative preheating decay channels related to the particular shape of the inflaton potential (which is highly nonlinear and has a very steep minimum). Preheating after modular inflation, proceeding through a combination of tachyonic instability and broad-band parametric resonance, is perhaps the most violent example of preheating after inflation known in the literature. Further, we consider the subsequent transfer of energy to the standard model sector in scenarios where the standard model particles are confined to a D7-brane wrapping the inflationary blow-up cycle of the compactification manifold or, more interestingly, a non-inflationary blow up cycle. We explicitly identify the decay channels of the inflaton in these two scenarios. We also consider the case where the inflationary cycle shrinks to the string scale at the end of inflation; here a field theoretical treatment of reheating is insufficient and one must turn instead to a stringy description. We estimate the decay rate of the inflaton and the reheat temperature for various scenarios.

8.610359

8.952744

9.322563

9.144049

9.278304

9.435365

10.135572

9.339783

8.285849

9.544991

8.669735

8.686173

8.689034

8.484126

8.515528

8.4064

8.655373

8.607518

8.54444

8.763818

8.541375

hep-th/9206082

null

J. A. Dixon

BRS Operators and Covariant Derivatives in Loop Space for P-Branes Coupled to Yang-Mills

21 pages, CTP-TAMU-50/92

Nucl.Phys.B407:73-87,1993

10.1016/0550-3213(93)90274-S

null

hep-th

null

Canonical forms are given for the nilpotent BRS operator $\d$ and the covariant `loop space' derivative ${\cal D}_{\m}$ for the p-brane fields for all odd p. The defining characteristic of ${\cal D}_{\m}$ is that it is a functional derivative operator which generalizes the ordinary functional derivative and also commutes with $\d$. Methods of construction for the canonical forms are discussed.

[ { "created": "Mon, 22 Jun 1992 19:58:15 GMT", "version": "v1" } ]

2008-11-26

[ [ "Dixon", "J. A.", "" ] ]

Canonical forms are given for the nilpotent BRS operator $\d$ and the covariant `loop space' derivative ${\cal D}_{\m}$ for the p-brane fields for all odd p. The defining characteristic of ${\cal D}_{\m}$ is that it is a functional derivative operator which generalizes the ordinary functional derivative and also commutes with $\d$. Methods of construction for the canonical forms are discussed.

12.541001

9.797648

11.137737

10.445711

11.597988

10.857688

10.769349

11.140966

10.760879

13.62749

10.648063

10.465299

11.383649

10.790344

10.521421

10.303047

10.659392

10.548901

10.363688

11.761188

11.075707

hep-th/9801149

Andrei Mironov

A.Mironov

On N=2 SUSY gauge theories and integrable systems

LaTeX, 7 pages; contribution to the 31st Ahrenshoop Symposium, Buckow, Germany, 2-6 September 1997

null

FIAN/TD-02/98; ITEP/TH-4/98

hep-th

null

This note gives a brief review of the integrable structures presented in the Seiberg-Witten approach to the N=2 SUSY gauge theories with emphasize on the case of the gauge theories with matter hypermultiplets included (described by spin chains). The web of different N=2 SUSY theories is discussed.

[ { "created": "Thu, 22 Jan 1998 15:17:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mironov", "A.", "" ] ]

This note gives a brief review of the integrable structures presented in the Seiberg-Witten approach to the N=2 SUSY gauge theories with emphasize on the case of the gauge theories with matter hypermultiplets included (described by spin chains). The web of different N=2 SUSY theories is discussed.

13.142961

11.609599

13.232437

11.232506

10.498633

11.811567

10.709145

10.393653

10.627138

16.60536

11.592033

10.773542

12.009509

11.396294

12.268153

11.552974

11.110836

10.845422

11.364756

12.442722

11.097127

1207.1109

Sergei Alexandrov

Sergei Alexandrov, Jan Manschot, Boris Pioline

D3-instantons, Mock Theta Series and Twistors

42 pages; discussion of isometries is amended; misprints corrected

JHEP 1304 (2013) 002

10.1007/JHEP04(2013)002

L2C:12-090; Bonn-TH-2012-13; CERN-PH-TH/2012-157

hep-th math-ph math.MP

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

The D-instanton corrected hypermultiplet moduli space of type II string theory compactified on a Calabi-Yau threefold is known in the type IIA picture to be determined in terms of the generalized Donaldson-Thomas invariants, through a twistorial construction. At the same time, in the mirror type IIB picture, and in the limit where only D3-D1-D(-1)-instanton corrections are retained, it should carry an isometric action of the S-duality group SL(2,Z). We prove that this is the case in the one-instanton approximation, by constructing a holomorphic action of SL(2,Z) on the linearized twistor space. Using the modular invariance of the D4-D2-D0 black hole partition function, we show that the standard Darboux coordinates in twistor space have modular anomalies controlled by period integrals of a Siegel-Narain theta series, which can be canceled by a contact transformation generated by a holomorphic mock theta series.

[ { "created": "Wed, 4 Jul 2012 20:03:45 GMT", "version": "v1" }, { "created": "Mon, 20 Aug 2012 10:19:24 GMT", "version": "v2" }, { "created": "Fri, 17 Feb 2017 19:08:40 GMT", "version": "v3" } ]

2017-02-21

[ [ "Alexandrov", "Sergei", "" ], [ "Manschot", "Jan", "" ], [ "Pioline", "Boris", "" ] ]

The D-instanton corrected hypermultiplet moduli space of type II string theory compactified on a Calabi-Yau threefold is known in the type IIA picture to be determined in terms of the generalized Donaldson-Thomas invariants, through a twistorial construction. At the same time, in the mirror type IIB picture, and in the limit where only D3-D1-D(-1)-instanton corrections are retained, it should carry an isometric action of the S-duality group SL(2,Z). We prove that this is the case in the one-instanton approximation, by constructing a holomorphic action of SL(2,Z) on the linearized twistor space. Using the modular invariance of the D4-D2-D0 black hole partition function, we show that the standard Darboux coordinates in twistor space have modular anomalies controlled by period integrals of a Siegel-Narain theta series, which can be canceled by a contact transformation generated by a holomorphic mock theta series.

5.929512

5.570212

7.893645

5.667911

5.594209

5.725657

5.187613

5.476338

5.732674

8.588188

5.541857

5.796794

6.522103

5.792336

5.728411

5.657626

5.637921

5.861236

5.900974

6.307243

5.689516

hep-th/0504145

Subodh Patil

Subodh P. Patil

Moduli (Dilaton, Volume and Shape) Stabilization via Massless F and D String Modes

22 pages, 2 appendices, 2 EPS figs

null

hep-th astro-ph

null

Finding a consistent way to stabilize the various moduli fields which generically appear in string theory compactifications, is essential if string theory is to make contact with the physics we see around us. We present, in this paper, a mechanism to stabilize the dilaton within a framework that has already proven itself capable of stabilizing the volume and shape moduli of extra dimensions, namely string gas cosmology. Building on previous work, which uncovered the special role played by massless F-string modes in stabilizing extra dimensions once the dilaton has stabilized, we find that the string gas cosmology of such modes also offers a consistent mechanism to stabilize the dilaton itself, given the stabilization of the extra dimensions. We then generalize the model to include D-string gases, and find that in the case of bosonic string theory, it is possible to simultaneously stabilize all the moduli we consider consistent with weak coupling. We find that our stabilization mechanism is robust, phenomenologically consistent and evades certain difficulties which might previously have seemed to generically plague moduli stabilization mechanisms, without the need for any fine tuning.

[ { "created": "Mon, 18 Apr 2005 19:29:37 GMT", "version": "v1" }, { "created": "Wed, 15 Feb 2006 10:27:12 GMT", "version": "v2" } ]

2007-05-23

[ [ "Patil", "Subodh P.", "" ] ]

Finding a consistent way to stabilize the various moduli fields which generically appear in string theory compactifications, is essential if string theory is to make contact with the physics we see around us. We present, in this paper, a mechanism to stabilize the dilaton within a framework that has already proven itself capable of stabilizing the volume and shape moduli of extra dimensions, namely string gas cosmology. Building on previous work, which uncovered the special role played by massless F-string modes in stabilizing extra dimensions once the dilaton has stabilized, we find that the string gas cosmology of such modes also offers a consistent mechanism to stabilize the dilaton itself, given the stabilization of the extra dimensions. We then generalize the model to include D-string gases, and find that in the case of bosonic string theory, it is possible to simultaneously stabilize all the moduli we consider consistent with weak coupling. We find that our stabilization mechanism is robust, phenomenologically consistent and evades certain difficulties which might previously have seemed to generically plague moduli stabilization mechanisms, without the need for any fine tuning.

9.623406

9.996566

8.920144

8.479393

9.762579

9.966452

9.846843

9.35578

8.867201

9.092812

9.253595

8.925548

8.652099

8.620635

8.945338

8.871422

8.890228

8.478576

8.752052

8.862125

9.117887

1902.04307

Sosuke Imai

Sosuke Imai, Yoshiyuki Tatsuta

Wavefunctions on $S^2$ with flux and branes

31 pages, 7 figures

null

10.1007/JHEP07(2019)005

WU-HEP-19-03, DESY 19-018

hep-th hep-ph

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

We formulate a six dimensional $U(1)$ gauge theory compactified on a (two dimensional) sphere $S^2$ with flux and localized brane sources. Profiles of the lowest Kaluza-Klein (KK) wavefunctions and their masses are derived analytically. In contrast to ordinary sphere compactifications, the above setup can lead to the degeneracy of and the sharp localizations of the linearly independent lowest KK modes, depending on the number of branes and their tensions. Moreover, it can naturally accommodate CP violation in Yukawa interactions.

[ { "created": "Tue, 12 Feb 2019 09:56:00 GMT", "version": "v1" } ]

2020-01-08

[ [ "Imai", "Sosuke", "" ], [ "Tatsuta", "Yoshiyuki", "" ] ]

We formulate a six dimensional $U(1)$ gauge theory compactified on a (two dimensional) sphere $S^2$ with flux and localized brane sources. Profiles of the lowest Kaluza-Klein (KK) wavefunctions and their masses are derived analytically. In contrast to ordinary sphere compactifications, the above setup can lead to the degeneracy of and the sharp localizations of the linearly independent lowest KK modes, depending on the number of branes and their tensions. Moreover, it can naturally accommodate CP violation in Yukawa interactions.

11.852547

12.302818

9.70336

9.618692

10.255255

11.789683

11.154577

11.244975

10.083098

10.398058

10.822539

10.724573

9.927637

10.516541

10.521108

10.897427

10.906085

11.023039

10.339598

10.449068

10.598782

hep-th/9605041

Steffen Meissner

B.-D. Doerfel and St. Meissner (HU Berlin)

Ground State Structure and Low Temperature Behaviour of an Integrable Chain with Alternating Spins

22 pages, LaTeX, uses ioplppt.sty and PicTeX macros

J.Phys.A29:6471-6487,1996

10.1088/0305-4470/29/20/006

SFB 288 preprint

hep-th

null

In this paper we continue the investigation of an anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, started in our paper \cite{meissner}. The thermodynamic Bethe ansatz is analysed especially for the case, when the signs of the two couplings $\bar{c}$ and $\tilde{c}$ differ. For the conformally invariant model ($\bar{c}=\tilde{c}$) we have calculated heat capacity and magnetic susceptibility at low temperature. In the isotropic limit our analysis is carried out further and susceptibilities are calculated near phase transition lines (at $T=0$).

[ { "created": "Tue, 7 May 1996 09:41:10 GMT", "version": "v1" } ]

2008-11-26

[ [ "Doerfel", "B. -D.", "", "HU Berlin" ], [ "Meissner", "St.", "", "HU Berlin" ] ]

In this paper we continue the investigation of an anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, started in our paper \cite{meissner}. The thermodynamic Bethe ansatz is analysed especially for the case, when the signs of the two couplings $\bar{c}$ and $\tilde{c}$ differ. For the conformally invariant model ($\bar{c}=\tilde{c}$) we have calculated heat capacity and magnetic susceptibility at low temperature. In the isotropic limit our analysis is carried out further and susceptibilities are calculated near phase transition lines (at $T=0$).

7.987037

6.836781

8.110677

7.084391

7.408051

7.789547

7.157307

6.947704

6.828275

9.036248

7.159089

6.988877

7.787286

7.081949

6.984155

7.299561

7.153428

7.098757

7.342506

7.710742

7.056478

1408.6057

Kellogg S. Stelle

K.S. Stelle

Symmetry Orbits of Supergravity Black Holes - In Honor of Andrei Slavnov's 75th Birthday

13 pages, 1 figure

null

Imperial/TP/14/KSS/01

hep-th

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

Black hole solutions of supergravity theories form families that realizing the deep nonlinear "duality" symmetries of these theories. They form orbits under the action of these symmetry groups, with extremal (i.e. BPS) solutions at the limits of such orbits. An important technique in the analysis of such solution families employs timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. Families of extremal or BPS solutions are characterized by nilpotent orbits under the duality symmetries, based upon a tri-graded or penta-graded decomposition of the corresponding duality-group algebra.

[ { "created": "Tue, 26 Aug 2014 09:04:36 GMT", "version": "v1" } ]

2014-08-27

[ [ "Stelle", "K. S.", "" ] ]

Black hole solutions of supergravity theories form families that realizing the deep nonlinear "duality" symmetries of these theories. They form orbits under the action of these symmetry groups, with extremal (i.e. BPS) solutions at the limits of such orbits. An important technique in the analysis of such solution families employs timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. Families of extremal or BPS solutions are characterized by nilpotent orbits under the duality symmetries, based upon a tri-graded or penta-graded decomposition of the corresponding duality-group algebra.

17.418783

15.32215

18.041828

15.885021

17.925756

15.844363

18.524557

18.237017

16.950483

20.02931

15.993757

15.62324

16.111675

14.617748

16.02096

15.454578

15.481308

15.172731

14.798347

15.647799

15.22076

hep-th/9909025

Heiyoung Shin

Glueball Mass Spectrum in KK Monopole Background

4 pages Latex

null

hep-th

null

We consider typeIIA supergravity solution of D2-branes and D3-branes localized within D6-branes in the near-core region of D6-branes. With these solutions we can calculate the spectrum of the glueball mass in QCD3 and QCD4. The equation of motion describing the dilaton has the same eigenvalues and the same glueball masses in QCD3 and QCD4. Glueball mass spectrum is the same in the near core region of D6-branes of their M-theory counterpart is KK monopole. We conclude that the glueball mass spectrum is the same in QCD3 and QCD4 by considering the `near-core' limit of D6-branes of which M-theory counterpart (KK monopole background) becomes an ALE space with an $A_{N-1}$ singularity times 7 dimensional Minkowski space $M^{(6,1)}$.

[ { "created": "Sat, 4 Sep 1999 09:22:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Shin", "Heiyoung", "" ] ]

We consider typeIIA supergravity solution of D2-branes and D3-branes localized within D6-branes in the near-core region of D6-branes. With these solutions we can calculate the spectrum of the glueball mass in QCD3 and QCD4. The equation of motion describing the dilaton has the same eigenvalues and the same glueball masses in QCD3 and QCD4. Glueball mass spectrum is the same in the near core region of D6-branes of their M-theory counterpart is KK monopole. We conclude that the glueball mass spectrum is the same in QCD3 and QCD4 by considering the `near-core' limit of D6-branes of which M-theory counterpart (KK monopole background) becomes an ALE space with an $A_{N-1}$ singularity times 7 dimensional Minkowski space $M^{(6,1)}$.

7.922242

8.401703

8.442364

7.687326

7.867956

7.814755

7.966237

7.800665

7.730443

9.238157

7.250218

7.484187

7.730168

7.294191

7.28459

7.498459

7.363415

7.148217

7.107163

7.70595

6.943222

hep-th/0007140

Hyun Seok Yang

Bum-Hoon Lee, Kimyeong Lee, and Hyun Seok Yang

The CP(n) Model on Noncommutative Plane

v3: 14 pages, Latex, Published version in Phys. Lett. B

Phys.Lett. B498 (2001) 277-284

10.1016/S0370-2693(01)00006-5

KIAS-P00045, NBI-HE-00-32, SOGANG-HEP 274/00

hep-th

null

We construct the consistent CP(n) model on noncommutative plane. The Bogomolny bound on the energy is saturated by (anti-)self-dual solitons with integer topological charge, which is independent of their scaling and orientation. This integer quantization is satisfied for our general solutions, which turns out regular everywhere. We discuss the possible implication of our result to the instanton physics in Yang-Mills theories on noncommutative R^4.

[ { "created": "Tue, 18 Jul 2000 09:17:20 GMT", "version": "v1" }, { "created": "Sat, 23 Sep 2000 03:32:51 GMT", "version": "v2" }, { "created": "Sun, 18 Mar 2001 17:31:41 GMT", "version": "v3" } ]

2009-10-31

[ [ "Lee", "Bum-Hoon", "" ], [ "Lee", "Kimyeong", "" ], [ "Yang", "Hyun Seok", "" ] ]

We construct the consistent CP(n) model on noncommutative plane. The Bogomolny bound on the energy is saturated by (anti-)self-dual solitons with integer topological charge, which is independent of their scaling and orientation. This integer quantization is satisfied for our general solutions, which turns out regular everywhere. We discuss the possible implication of our result to the instanton physics in Yang-Mills theories on noncommutative R^4.

13.769521

11.053069

12.754886

10.748645

10.87429

10.959969

10.715929

10.276429

11.079696

14.035939

10.871728

12.446968

13.845272

12.130445

12.173326

12.469402

11.584846

12.3213

12.275265

13.238746

12.167208

2209.12696

Sunjin Choi

Sunjin Choi, Seok Kim, Eunwoo Lee, Jaemo Park

The shape of non-graviton operators for $SU(2)$

8 pages

null

KIAS-P22052

hep-th

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

The BPS spectrum of AdS/CFT exhibits multi-gravitons at low energies, while having black hole states at higher energies. This can be studied concretely in AdS$_5$/CFT$_4$ in terms of classical cohomologies, even in the quantum regimes at finite $1/N$. Recently, Chang and Lin found a threshold for non-graviton states in the $SU(2)$ maximal super-Yang-Mills theory. We explicitly construct and present this threshold cohomology.

[ { "created": "Mon, 26 Sep 2022 13:45:23 GMT", "version": "v1" }, { "created": "Thu, 29 Sep 2022 16:11:19 GMT", "version": "v2" }, { "created": "Fri, 9 Jun 2023 07:00:33 GMT", "version": "v3" }, { "created": "Mon, 1 Jul 2024 17:32:38 GMT", "version": "v4" } ]

2024-07-02

[ [ "Choi", "Sunjin", "" ], [ "Kim", "Seok", "" ], [ "Lee", "Eunwoo", "" ], [ "Park", "Jaemo", "" ] ]

The BPS spectrum of AdS/CFT exhibits multi-gravitons at low energies, while having black hole states at higher energies. This can be studied concretely in AdS$_5$/CFT$_4$ in terms of classical cohomologies, even in the quantum regimes at finite $1/N$. Recently, Chang and Lin found a threshold for non-graviton states in the $SU(2)$ maximal super-Yang-Mills theory. We explicitly construct and present this threshold cohomology.

17.396692

14.323792

18.994106

13.772081

14.047338

15.385399

14.739153

13.314571

14.17294

19.497713

14.488346

14.379807

16.408747

15.116847

14.952807

14.361773

15.221634

14.65949

14.598276

16.316801

14.098486

1007.3843

Kang Sin Choi

Kang-Sin Choi

SU(3) x SU(2) x U(1) Vacua in F-Theory

40 pages, 1 figure

Nucl.Phys.B842:1-32,2011

10.1016/j.nuclphysb.2010.08.012

KUNS-2282

hep-th

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

The Standard Model group and matter spectrum is obtained in vacua of F-theory, without resorting to an intermediate unification group. The group SU(3) x SU(2) x U(1)_Y is the commutant to SU(5)_t \times U(1)_Y structure group of a Higgs bundle in E_8 and is geometrically realized as a deformation of I_5 singularity. Lying along the unification groups of E_n, our vacua naturally inherit their unification structure. By modding SU(5)_t out by Z_4 monodromy group, we can distinguish Higgses from lepton doublets by matter parity. Turning on universal G-flux on this part, the spectrum contains three generations of quarks and leptons, as well as vectorlike pairs of electroweak and colored Higgses. Minimal Yukawa couplings is obtained at the renormalizable level.

[ { "created": "Thu, 22 Jul 2010 10:01:54 GMT", "version": "v1" } ]

2014-11-21

[ [ "Choi", "Kang-Sin", "" ] ]

The Standard Model group and matter spectrum is obtained in vacua of F-theory, without resorting to an intermediate unification group. The group SU(3) x SU(2) x U(1)_Y is the commutant to SU(5)_t \times U(1)_Y structure group of a Higgs bundle in E_8 and is geometrically realized as a deformation of I_5 singularity. Lying along the unification groups of E_n, our vacua naturally inherit their unification structure. By modding SU(5)_t out by Z_4 monodromy group, we can distinguish Higgses from lepton doublets by matter parity. Turning on universal G-flux on this part, the spectrum contains three generations of quarks and leptons, as well as vectorlike pairs of electroweak and colored Higgses. Minimal Yukawa couplings is obtained at the renormalizable level.

13.136435

13.888794

14.17662

11.884425

15.674006

13.434852

13.481738

13.283594

12.578951

14.365096

12.75314

12.452126

13.01662

12.382447

13.086452

12.699584

13.072728

12.382081

12.77694

13.538974

12.380827

hep-th/9911003

Justin David

Justin R. David

String Theory and Black Holes

106 pages, PhD thesis at TIFR

null

hep-th

null

This thesis aims to make precise the microscopic understanding of Hawking radiation from the D1/D5 black hole. We present an explict construction of all the shortmultiplets of the ${\cal N}=(4,4)$ SCFT on the symmetric product $\tilde{T}^4/S(Q_1Q_5)$. An investigation of the symmerties of this SCFT enables us to make a one-to-one correspondence beween the supergravity moduli and the marginal opeerators of the SCFT. We analyse the gauge theory dynamics of the splitting of the D1/D5 system into subsystems and show that it agrees with supergravity. We have shown that the fixed scalars of the D1/D5 system couple only to (2,2) operators thus removing earlier discrepancies between D-brane calculations and semiclassical calculations. The absorption cross-section of the minimal scalars is determined from first principles upto a propotionality constant. We show that the absorption cross-section of the minimal scalars computed in supergravity and the SCFT is independent of the moduli.

[ { "created": "Tue, 2 Nov 1999 05:56:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "David", "Justin R.", "" ] ]

This thesis aims to make precise the microscopic understanding of Hawking radiation from the D1/D5 black hole. We present an explict construction of all the shortmultiplets of the ${\cal N}=(4,4)$ SCFT on the symmetric product $\tilde{T}^4/S(Q_1Q_5)$. An investigation of the symmerties of this SCFT enables us to make a one-to-one correspondence beween the supergravity moduli and the marginal opeerators of the SCFT. We analyse the gauge theory dynamics of the splitting of the D1/D5 system into subsystems and show that it agrees with supergravity. We have shown that the fixed scalars of the D1/D5 system couple only to (2,2) operators thus removing earlier discrepancies between D-brane calculations and semiclassical calculations. The absorption cross-section of the minimal scalars is determined from first principles upto a propotionality constant. We show that the absorption cross-section of the minimal scalars computed in supergravity and the SCFT is independent of the moduli.

10.815364

10.605208

11.571584

10.249707

10.311373

10.818425

10.754795

10.41982

10.464723

13.153563

10.46719

10.00518

10.74072

10.059188

10.506527

10.325735

10.283363

10.249066

10.178189

11.300784

10.464678

1912.11422

Gang Yang

Qingjun Jin and Gang Yang

Hidden Analytic Structure of Higgs Amplitudes and Maximal Transcendentality Principle

11 pages, 2 figures; Proceedings of the 14th International Symposium on Radiative Corrections (RADCOR2019) 9-13 September 2019, Avignon, France

PoS(RADCOR2019)071

null

hep-th hep-ph

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

We present the computation of two-loop Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. The computation is based on the combination of unitarity cut and integration by parts methods in an unconventional way. The analytic results take remarkably simple form. In particular, the results show that the QCD and N=4 SYM results share the same leading transcendental parts. This generalizes the so-call maximal transcendentality principle to the Higgs amplitudes with high dimension operators and also with fundamental external quark states. Further simplicity also exists in lower transcendental parts, suggesting hidden structures beyond maximal transcendentality.

[ { "created": "Tue, 24 Dec 2019 15:59:06 GMT", "version": "v1" } ]

2019-12-25

[ [ "Jin", "Qingjun", "" ], [ "Yang", "Gang", "" ] ]

We present the computation of two-loop Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. The computation is based on the combination of unitarity cut and integration by parts methods in an unconventional way. The analytic results take remarkably simple form. In particular, the results show that the QCD and N=4 SYM results share the same leading transcendental parts. This generalizes the so-call maximal transcendentality principle to the Higgs amplitudes with high dimension operators and also with fundamental external quark states. Further simplicity also exists in lower transcendental parts, suggesting hidden structures beyond maximal transcendentality.

12.424793

12.562983

12.017697

11.481823

13.259208

11.285962

11.73278

10.632916

11.139355

15.001113

11.655258

12.620337

12.06702

11.59016

12.391685

12.571141

12.474148

11.703144

12.274735

12.102612

12.150012

2211.14021

Nikolay Kozyrev

Nikolay Kozyrev, Sergey Krivonos

Generalized Schwarzians

12 pages, 0 figures

null

10.1103/PhysRevD.107.026018

null

hep-th math-ph math.MP

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

In this paper we demonstrate that the different generalizations of the Schwarzians, supersymmetric or purely bosonic, can be easily constructed by using the nonlinear realizations technique.

[ { "created": "Fri, 25 Nov 2022 10:52:38 GMT", "version": "v1" } ]

2023-02-01

[ [ "Kozyrev", "Nikolay", "" ], [ "Krivonos", "Sergey", "" ] ]

In this paper we demonstrate that the different generalizations of the Schwarzians, supersymmetric or purely bosonic, can be easily constructed by using the nonlinear realizations technique.

20.030861

10.726905

17.261557

13.423858

12.113455

13.705951

12.313573

13.328255

11.894324

18.88376

12.706338

14.711138

17.496622

15.512568

14.795338

14.591304

15.523273

13.944552

15.00488

15.567614

15.165498

hep-th/0308201

Sayed Fawad Hassan

S. F. Hassan

N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory

30 pages, LaTeX

null

USITP-03-07

hep-th

null

A systematic construction is given for N=1 open string boundary coupling to Abelian and non-Abelian Dp-brane worldvolume fields, in general curved backgrounds. The basic ingredient is a set of four ``boundary vectors'' that provide a unified description of boundary conditions and boundary couplings. We then turn to the problem of apparent inconsistency of non-Abelian worldvolume scalar couplings (obtained by T-duality), with general covariance. It means that the couplings cannot be obtained from a covariant action by gauge fixing ordinary general coordinate transformations (GCT). It is shown that the corresponding worldsheet theory has the same problem, but is also invariant under certain matrix-valued coordinate transformations (MCT) that can be used to restore its covariance. The same transformations act on the worldvolume, leading to a covariant action. Then the non-Abelian Dp-brane action obtained by T-duality corresponds to gauge fixing the MCT and not GCT, hence the apparent incompatibility with general covariance.

[ { "created": "Thu, 28 Aug 2003 20:54:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hassan", "S. F.", "" ] ]

A systematic construction is given for N=1 open string boundary coupling to Abelian and non-Abelian Dp-brane worldvolume fields, in general curved backgrounds. The basic ingredient is a set of four ``boundary vectors'' that provide a unified description of boundary conditions and boundary couplings. We then turn to the problem of apparent inconsistency of non-Abelian worldvolume scalar couplings (obtained by T-duality), with general covariance. It means that the couplings cannot be obtained from a covariant action by gauge fixing ordinary general coordinate transformations (GCT). It is shown that the corresponding worldsheet theory has the same problem, but is also invariant under certain matrix-valued coordinate transformations (MCT) that can be used to restore its covariance. The same transformations act on the worldvolume, leading to a covariant action. Then the non-Abelian Dp-brane action obtained by T-duality corresponds to gauge fixing the MCT and not GCT, hence the apparent incompatibility with general covariance.

10.114651

10.120719

11.047483

8.984551

11.01439

10.550737

10.127077

9.457286

9.542738

11.197109

9.086606

9.678498

9.633836

9.231256

9.490225

9.599085

9.420581

9.310966

9.179137

9.683283

9.119516

hep-th/0610189

Ying-Qiu Gu

Test of Einstein's Mass-Energy Relation

6 pages, 1 figure

Applied Physics Research, Vol. 10, No. 1, 1-4(2018)

10.5539/apr.v10n1p1

null

hep-th hep-ex

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

The Einstein's mass-energy relation $E=mc^2$ is one of the most fundamental formulae in physics, but it has not been seriously tested by an elaborated experiment, and only some indirect evidences in nuclear reaction suggested that it holds to high precision. Manifestly, for a particle, different self potential leads to different energy-speed relation, which can be used as the fingerprints of them. In this letter, we propose an experiment to test this relation. The experiment only involves low energy of particles and measurement of speed, which can be easily realized. The experiment may shed lights on a number of fundamental puzzles in physics.

[ { "created": "Tue, 17 Oct 2006 08:56:47 GMT", "version": "v1" }, { "created": "Sun, 16 Jan 2011 16:48:58 GMT", "version": "v2" }, { "created": "Fri, 2 Jun 2017 03:10:24 GMT", "version": "v3" } ]

2018-01-09

[ [ "Gu", "Ying-Qiu", "" ] ]

The Einstein's mass-energy relation $E=mc^2$ is one of the most fundamental formulae in physics, but it has not been seriously tested by an elaborated experiment, and only some indirect evidences in nuclear reaction suggested that it holds to high precision. Manifestly, for a particle, different self potential leads to different energy-speed relation, which can be used as the fingerprints of them. In this letter, we propose an experiment to test this relation. The experiment only involves low energy of particles and measurement of speed, which can be easily realized. The experiment may shed lights on a number of fundamental puzzles in physics.

13.490978

12.915475

12.6134

12.18239

12.832647

12.999519

13.745252

11.746411

13.450787

11.856483

12.96221

12.562686

11.99152

11.879488

11.890026

12.606239

12.258554

12.092382

12.127343

11.374409

12.386602

hep-th/0006229

Gerald V. Dunne

I. J. R. Aitchison and G. V. Dunne

Nontopological Finite Temperature Induced Fermion Number

7 pp, 2 figs; refs + comments added; to appear in PRL

Phys.Rev.Lett. 86 (2001) 1690-1693

10.1103/PhysRevLett.86.1690

null

hep-th cond-mat.soft hep-ph

null

We show that while the zero temperature induced fermion number in a chiral sigma model background depends only on the asymptotic values of the chiral field, at finite temperature the induced fermion number depends also on the detailed shape of the chiral background. We resum the leading low temperature terms to all orders in the derivative expansion, producing a simple result that can be interpreted physically as the different effect of the chiral background on virtual pairs of the Dirac sea and on the real particles of the thermal plasma. By contrast, for a kink background, not of sigma model form, the finite temperature induced fermion number is temperature dependent but topological.

[ { "created": "Thu, 29 Jun 2000 02:10:18 GMT", "version": "v1" }, { "created": "Tue, 20 Feb 2001 13:47:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Aitchison", "I. J. R.", "" ], [ "Dunne", "G. V.", "" ] ]

We show that while the zero temperature induced fermion number in a chiral sigma model background depends only on the asymptotic values of the chiral field, at finite temperature the induced fermion number depends also on the detailed shape of the chiral background. We resum the leading low temperature terms to all orders in the derivative expansion, producing a simple result that can be interpreted physically as the different effect of the chiral background on virtual pairs of the Dirac sea and on the real particles of the thermal plasma. By contrast, for a kink background, not of sigma model form, the finite temperature induced fermion number is temperature dependent but topological.

9.058801

8.982887

9.469464

8.541515

9.325533

9.920543

8.644923

8.771799

8.361473

10.468778

9.200325

8.537814

9.144844

8.429418

8.794285

8.573425

8.944999

8.720944

8.96382

8.92755

8.633138

2103.02998

Reza Pirmoradian

Reza Pirmoradian and Mohammad Reza Tanhayi

Non-local Probes of Entanglement in the Scale Invariant Gravity

14 pages, 3 figures

null

hep-th gr-qc

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

In this paper, we study the generic action for the scale-invariant theory of gravity and then by making use of the holographic methods, we compute some specific holographic measures of entanglement. Precisely, we calculate the entanglement entropy, mutual and tripartite information and show that the mutual information is always positive while the tripartite information becomes negative. This indeed recovers the monogamy property of mutual information in this context.

[ { "created": "Thu, 4 Mar 2021 12:46:01 GMT", "version": "v1" }, { "created": "Wed, 14 Apr 2021 09:13:46 GMT", "version": "v2" }, { "created": "Fri, 16 Apr 2021 07:08:46 GMT", "version": "v3" } ]

2021-04-19

[ [ "Pirmoradian", "Reza", "" ], [ "Tanhayi", "Mohammad Reza", "" ] ]

In this paper, we study the generic action for the scale-invariant theory of gravity and then by making use of the holographic methods, we compute some specific holographic measures of entanglement. Precisely, we calculate the entanglement entropy, mutual and tripartite information and show that the mutual information is always positive while the tripartite information becomes negative. This indeed recovers the monogamy property of mutual information in this context.

9.364401

8.161741

7.890474

7.737199

7.736512

7.733541

7.177831

7.076861

7.717967

9.863057

7.793001

8.015572

7.991376

7.576155

7.677953

7.705225

7.722996

7.697098

7.834141

7.978356

7.867637

1504.05745

Razvan-Gheorghe Gurau

Thibault Delepouve, Razvan Gurau

Phase Transition in Tensor Models

null

JHEP 06 (2015) 178

10.1007/JHEP06(2015)178

null

hep-th math-ph math.MP

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

Generalizing matrix models, tensor models generate dynamical triangulations in any dimension and support a $1/N$ expansion. Using the intermediate field representation we explicitly rewrite a quartic tensor model as a field theory for a fluctuation field around a vacuum state corresponding to the resummation of the entire leading order in $1/N$ (a resummation of the melonic family). We then prove that the critical regime in which the continuum limit in the sense of dynamical triangulations is reached is precisely a phase transition in the field theory sense for the fluctuation field.

[ { "created": "Wed, 22 Apr 2015 11:42:29 GMT", "version": "v1" } ]

2015-07-09

[ [ "Delepouve", "Thibault", "" ], [ "Gurau", "Razvan", "" ] ]

Generalizing matrix models, tensor models generate dynamical triangulations in any dimension and support a $1/N$ expansion. Using the intermediate field representation we explicitly rewrite a quartic tensor model as a field theory for a fluctuation field around a vacuum state corresponding to the resummation of the entire leading order in $1/N$ (a resummation of the melonic family). We then prove that the critical regime in which the continuum limit in the sense of dynamical triangulations is reached is precisely a phase transition in the field theory sense for the fluctuation field.

13.624594

12.453373

12.493731

10.58673

12.609224

12.53542

13.629525

10.324025

11.720967

15.18958

11.394217

11.865353

12.016419

11.009717

12.0143

11.596896

11.900344

11.453356

11.528328

11.60061

11.095916

hep-th/0604124

Nadav Drukker

Nadav Drukker and Shoichi Kawamoto

Small deformations of supersymmetric Wilson loops and open spin-chains

40 pages, amstex, 4 figures. V2: Corrected eqn (2.14) and some equations in section 5. Version to appear in JHEP

JHEP0607:024,2006

10.1088/1126-6708/2006/07/024

null

hep-th

null

We study insertions of composite operators into Wilson loops in N=4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of the gauge group. This provides a gauge invariant way to define the correlator of non-singlet operators. Since the basic loop preserves an SL(2,R) subgroup of the conformal group, we can assign a conformal dimension to those insertions and calculate the corrections to the classical dimension in perturbation theory. The calculation turns out to be very similar to that of single-trace local operators and may also be expressed in terms of a spin-chain. In this case the spin-chain is open and at one-loop order has Neumann boundary conditions on the type of scalar insertions that we consider. This system is integrable and we write the Bethe ansatz describing it. We compare the spectrum in the limit of large angular momentum both in the dilute gas approximation and the thermodynamic limit to the relevant string solution in the BMN limit and in the full AdS_5 x S^5 metric and find agreement.

[ { "created": "Tue, 18 Apr 2006 20:00:28 GMT", "version": "v1" }, { "created": "Thu, 13 Jul 2006 14:42:14 GMT", "version": "v2" } ]

2009-11-11

[ [ "Drukker", "Nadav", "" ], [ "Kawamoto", "Shoichi", "" ] ]

We study insertions of composite operators into Wilson loops in N=4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of the gauge group. This provides a gauge invariant way to define the correlator of non-singlet operators. Since the basic loop preserves an SL(2,R) subgroup of the conformal group, we can assign a conformal dimension to those insertions and calculate the corrections to the classical dimension in perturbation theory. The calculation turns out to be very similar to that of single-trace local operators and may also be expressed in terms of a spin-chain. In this case the spin-chain is open and at one-loop order has Neumann boundary conditions on the type of scalar insertions that we consider. This system is integrable and we write the Bethe ansatz describing it. We compare the spectrum in the limit of large angular momentum both in the dilute gas approximation and the thermodynamic limit to the relevant string solution in the BMN limit and in the full AdS_5 x S^5 metric and find agreement.

8.37293

7.960985

10.027477

8.04282

8.391438

8.301291

8.0764

8.395107

8.221022

10.921234

7.917032

8.17846

8.906201

7.899746

8.055713

8.143233

7.994257

8.114565

8.045388

8.674468

7.879048

1507.08659

Jun Bourdier

Jun Bourdier, Nadav Drukker and Jan Felix

The exact Schur index of $\mathcal{N}=4$ SYM

11 pages; v2: typos corrected

null

10.1007/JHEP11(2015)210

null

hep-th

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

The Witten index counts the difference in the number of bosonic and fermionic states of a quantum mechanical system. The Schur index, which can be defined for theories with at least $\mathcal{N}=2$ supersymmetry in four dimensions is a particular refinement of the index, dependent on one parameter $q$ serving as the fugacity for a particular set of charges which commute with the hamiltonian and some supersymmetry generators. This index has a known expression for all Lagrangian and some non-Lagrangian theories as a finite dimensional integral or a complicated infinite sum. In the case of $\mathcal{N}=4$ SYM with gauge group $U(N)$ we rewrite this as the partition function of a gas of $N$ non interacting and translationally invariant fermions on a circle. This allows us to perform the integrals and write down explicit expressions for fixed $N$ as well as the exact all orders large $N$ expansion.

[ { "created": "Thu, 30 Jul 2015 20:05:15 GMT", "version": "v1" }, { "created": "Mon, 5 Oct 2015 13:47:42 GMT", "version": "v2" } ]

2016-01-27

[ [ "Bourdier", "Jun", "" ], [ "Drukker", "Nadav", "" ], [ "Felix", "Jan", "" ] ]

The Witten index counts the difference in the number of bosonic and fermionic states of a quantum mechanical system. The Schur index, which can be defined for theories with at least $\mathcal{N}=2$ supersymmetry in four dimensions is a particular refinement of the index, dependent on one parameter $q$ serving as the fugacity for a particular set of charges which commute with the hamiltonian and some supersymmetry generators. This index has a known expression for all Lagrangian and some non-Lagrangian theories as a finite dimensional integral or a complicated infinite sum. In the case of $\mathcal{N}=4$ SYM with gauge group $U(N)$ we rewrite this as the partition function of a gas of $N$ non interacting and translationally invariant fermions on a circle. This allows us to perform the integrals and write down explicit expressions for fixed $N$ as well as the exact all orders large $N$ expansion.

7.333411

6.197529

7.744885

6.379921

7.034371

6.926212

6.821114

6.545921

6.388857

9.122315

6.336773

6.913399

6.927835

6.576869

6.917273

6.880555

6.572079

6.579892

6.62797

7.289323

6.601212

hep-th/0105293

Nicholas Jones

Eanna Flanagan, Richard J. Hill, Nicholas Jones, S.-H. Henry Tye, Ira Wasserman

Probe Brane Dynamics and the Cosmological Constant

13 pages, 1 figure, REVTEX

Phys.Lett. B515 (2001) 161-169

10.1016/S0370-2693(01)00837-1

CLNS 01/1738

hep-th

null

Recently a brane world perspective on the cosmological constant and the hierarchy problems was presented. Here, we elaborate on some aspects of that particular scenario and discuss the stability of the stationary brane solution and the dynamics of a probe brane. Even though the brane is unstable under a small perturbation from its stationary position, such instability is harmless when the 4-D cosmological constant is very small, as is the case of our universe. One may also introduce radion stabilizing potentials in a more realistic scenario.

[ { "created": "Tue, 29 May 2001 16:44:04 GMT", "version": "v1" } ]

2009-11-07

[ [ "Flanagan", "Eanna", "" ], [ "Hill", "Richard J.", "" ], [ "Jones", "Nicholas", "" ], [ "Tye", "S. -H. Henry", "" ], [ "Wasserman", "Ira", "" ] ]

Recently a brane world perspective on the cosmological constant and the hierarchy problems was presented. Here, we elaborate on some aspects of that particular scenario and discuss the stability of the stationary brane solution and the dynamics of a probe brane. Even though the brane is unstable under a small perturbation from its stationary position, such instability is harmless when the 4-D cosmological constant is very small, as is the case of our universe. One may also introduce radion stabilizing potentials in a more realistic scenario.

10.476336

9.063791

9.55927

9.149785

9.857817

9.900652

9.488471

8.843239

8.990118

9.743425

8.94045

9.33972

9.912648

9.68712

9.854517

9.950093

9.586987

9.729014

9.429563

10.274594

9.761773

2406.03764

Shuo Zhang

More on spin-2 operators in holographic quantum mechanics

18 pages, 3 figures, v2: added references

null

hep-th

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

We study the spectrum, unitarity bound and holographic central charge of spin-2 operators in a warped $\text{AdS}_2 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_\psi \times \mathcal{I}_\rho$ background in the Type IIB theory. We were able to identify a class of solutions that is completely independent of the functions that define the background solution. We comment on the relation of our results to the previous ones in the literature.

[ { "created": "Thu, 6 Jun 2024 05:59:15 GMT", "version": "v1" }, { "created": "Wed, 12 Jun 2024 09:01:46 GMT", "version": "v2" } ]

2024-06-13

[ [ "Zhang", "Shuo", "" ] ]

We study the spectrum, unitarity bound and holographic central charge of spin-2 operators in a warped $\text{AdS}_2 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_\psi \times \mathcal{I}_\rho$ background in the Type IIB theory. We were able to identify a class of solutions that is completely independent of the functions that define the background solution. We comment on the relation of our results to the previous ones in the literature.

8.175064

6.395659

7.914274

6.242286

6.686602

6.756115

6.571442

6.522428

6.14382

8.215325

6.29557

6.689285

7.791276

6.792644

6.881014

7.145478

6.922771

6.803954

7.024983

7.65222

6.638255

0712.2989

Recai Erdem

A way to get rid of cosmological constant and zero point energy problems of quantum fields through metric reversal symmetry

Presentation and content are improved, references are added. I would like to thank the anonymous referee for his valuable comments and suggestions to improve the paper

J.Phys.A41:235401,2008

10.1088/1751-8113/41/23/235401

IZTECH-P-07-06

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

null

In this paper a framework is introduced to remove the huge discrepancy between the empirical value of the cosmological constant and the contribution to the cosmological constant predicted from the vacuum energy of quantum fields. An extra dimensional space with metric reversal symmetry and $R^2$ gravity is considered to this end. The resulting 4-dimensional energy-momentum tensor (obtained after integration over extra dimensions) consists of terms that contain off-diagonally coupled pair of Kaluza-Klein modes. This, in turn, generically results in vanishing of the vacuum expectation value of the energy-momentum tensor for quantum fields, and offers a way to solve the problem of huge contribution of quantum fields to the vacuum energy density.

[ { "created": "Tue, 18 Dec 2007 16:16:52 GMT", "version": "v1" }, { "created": "Tue, 29 Apr 2008 15:50:36 GMT", "version": "v2" } ]

2008-11-26

[ [ "Erdem", "Recai", "" ] ]

In this paper a framework is introduced to remove the huge discrepancy between the empirical value of the cosmological constant and the contribution to the cosmological constant predicted from the vacuum energy of quantum fields. An extra dimensional space with metric reversal symmetry and $R^2$ gravity is considered to this end. The resulting 4-dimensional energy-momentum tensor (obtained after integration over extra dimensions) consists of terms that contain off-diagonally coupled pair of Kaluza-Klein modes. This, in turn, generically results in vanishing of the vacuum expectation value of the energy-momentum tensor for quantum fields, and offers a way to solve the problem of huge contribution of quantum fields to the vacuum energy density.

9.993431

8.944912

8.850033

9.260818

9.221712

9.83543

9.350374

9.463317

8.994601

8.960506

9.795033

9.287706

9.096012

8.906984

8.878923

8.96387

9.034136

8.894842

8.721022

9.003817

9.522951

1007.3301

Christian Saemann

Constructing Self-Dual Strings

1+19 pages, presentation improved, minor corrections, published version

Commun.Math.Phys.305:513-532,2011

10.1007/s00220-011-1257-2

HWM-10-25, EMPG-10-12

hep-th math-ph math.MP

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

We present an ADHMN-like construction which generates self-dual string solutions to the effective M5-brane worldvolume theory from solutions to the Basu-Harvey equation. Our construction finds a natural interpretation in terms of gerbes, which we develop in some detail. We also comment on a possible extension to stacks of multiple M5-branes.

[ { "created": "Mon, 19 Jul 2010 22:34:24 GMT", "version": "v1" }, { "created": "Fri, 6 Aug 2010 15:01:30 GMT", "version": "v2" }, { "created": "Thu, 2 Jun 2011 18:42:58 GMT", "version": "v3" } ]

2011-06-03

[ [ "Saemann", "Christian", "" ] ]

We present an ADHMN-like construction which generates self-dual string solutions to the effective M5-brane worldvolume theory from solutions to the Basu-Harvey equation. Our construction finds a natural interpretation in terms of gerbes, which we develop in some detail. We also comment on a possible extension to stacks of multiple M5-branes.

11.261742

8.604346

12.492477

8.908329

9.059671

8.45697

9.250553

8.852128

8.637201

12.325992

8.627077

9.744961

11.357814

9.81777

10.318931

9.354553

9.583524

9.720967

10.047067

11.828766

9.866632

1103.6068

Tadashi Takayanagi

Shinsei Ryu, Tadashi Takayanagi, and Tomonori Ugajin

Holographic Conductivity in Disordered Systems

43 pages, 28 figures, latex, references added, minor corrections

null

10.1007/JHEP04(2011)115

IPMU11-0053

hep-th cond-mat.str-el

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

The main purpose of this paper is to holographically study the behavior of conductivity in 2+1 dimensional disordered systems. We analyze probe D-brane systems in AdS/CFT with random closed string and open string background fields. We give a prescription of calculating the DC conductivity holographically in disordered systems. In particular, we find an analytical formula of the conductivity in the presence of codimension one randomness. We also systematically study the AC conductivity in various probe brane setups without disorder and find analogues of Mott insulators.

[ { "created": "Thu, 31 Mar 2011 00:27:58 GMT", "version": "v1" }, { "created": "Mon, 11 Apr 2011 21:55:04 GMT", "version": "v2" } ]

2015-05-27

[ [ "Ryu", "Shinsei", "" ], [ "Takayanagi", "Tadashi", "" ], [ "Ugajin", "Tomonori", "" ] ]

The main purpose of this paper is to holographically study the behavior of conductivity in 2+1 dimensional disordered systems. We analyze probe D-brane systems in AdS/CFT with random closed string and open string background fields. We give a prescription of calculating the DC conductivity holographically in disordered systems. In particular, we find an analytical formula of the conductivity in the presence of codimension one randomness. We also systematically study the AC conductivity in various probe brane setups without disorder and find analogues of Mott insulators.

11.343784

10.271778

13.913803

10.061632

10.143894

9.882978

9.664248

9.746203

10.212782

13.809954

10.139367

10.399676

12.001802

10.479231

10.682522

10.831411

10.495306

10.316358

11.078672

12.352242

11.038587

2302.03041

Christian Ferko

Chih-Kai Chang, Christian Ferko, Savdeep Sethi

Holography and Irrelevant Operators

44 pages, LaTeX; v2: references and a new section added

null

10.1103/PhysRevD.107.126021

EFI-21-8

hep-th gr-qc

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

We explore the holographic proposal involving spacetimes with linear dilaton asymptotics in three dimensions from a gravity perspective. The holographic dual shares some properties with a symmetric product conformal field theory deformed by a single-trace analogue of the $T \overline{T}$ deformation. We present solutions of ten-dimensional supergravity which interpolate from BTZ black holes in the interior to either a linear dilaton spacetime near infinity, or to flat space. This allows a precise identification of field theory parameters with gravity parameters. The solutions manifestly exhibit the square root structure that is characteristic of $T \overline{T}$-deformed conformal field theories. We compute the mass of the spacetimes using the covariant phase space formalism and find agreement with the square root formula for the case of black holes without spin. We also discuss whether closed string tachyons might play a role when the deformation parameter becomes too large and the vacuum becomes unstable.

[ { "created": "Mon, 6 Feb 2023 19:00:00 GMT", "version": "v1" }, { "created": "Wed, 26 Apr 2023 05:14:22 GMT", "version": "v2" } ]

2023-07-05

[ [ "Chang", "Chih-Kai", "" ], [ "Ferko", "Christian", "" ], [ "Sethi", "Savdeep", "" ] ]

We explore the holographic proposal involving spacetimes with linear dilaton asymptotics in three dimensions from a gravity perspective. The holographic dual shares some properties with a symmetric product conformal field theory deformed by a single-trace analogue of the $T \overline{T}$ deformation. We present solutions of ten-dimensional supergravity which interpolate from BTZ black holes in the interior to either a linear dilaton spacetime near infinity, or to flat space. This allows a precise identification of field theory parameters with gravity parameters. The solutions manifestly exhibit the square root structure that is characteristic of $T \overline{T}$-deformed conformal field theories. We compute the mass of the spacetimes using the covariant phase space formalism and find agreement with the square root formula for the case of black holes without spin. We also discuss whether closed string tachyons might play a role when the deformation parameter becomes too large and the vacuum becomes unstable.

9.999407

9.433782

11.379066

9.201403

9.542091

8.943898

8.739441

9.300081

8.827153

10.677488

8.318563

8.917379

10.540403

9.72207

9.378128

9.38582

9.580384

9.469429

9.292723

10.413988

9.40567

2406.06704

Hee-Cheol Kim

Hee-Cheol Kim, Cumrun Vafa

Exploring new constraints on Kahler moduli space of 6d N = 1 Supergravity

32 pages, v2: typos fixed, references added

null

hep-th

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

We propose new constraints for 6d (1, 0) supergravity theories based on consistency conditions on the Kahler moduli spaces of their 5d reductions. The requirement that both the metric and the BPS string tensions in the Kahler moduli space are positive imposes specific restrictions on the Chern-Simons coefficients in the 5d effective Lagrangians that are derived from the Kaluza-Klein reductions of 6d theories. Moreover, the emergence of local interacting 5d CFTs when the moduli space metric degenerates introduces additional constraints coming from the analysis of 5d SCFTs. Focusing on the moduli spaces of 6d supergravity theories without a tensor multiplet and their Higgsings, we show that these constraints require the presence of certain primary states in the 2d worldvolume CFTs on 1/2 BPS strings. We specifically analyze a class of SU(2) models and infinite families of U(1) models using these constraints, and demonstrate that the theories featuring a 1-form symmetry in their massless spectra, unless the 1-form symmetry is gauged, fail to satisfy the constraints and therefore belong to the Swampland.

[ { "created": "Mon, 10 Jun 2024 18:07:06 GMT", "version": "v1" }, { "created": "Sat, 20 Jul 2024 19:17:12 GMT", "version": "v2" } ]

2024-07-23

[ [ "Kim", "Hee-Cheol", "" ], [ "Vafa", "Cumrun", "" ] ]

We propose new constraints for 6d (1, 0) supergravity theories based on consistency conditions on the Kahler moduli spaces of their 5d reductions. The requirement that both the metric and the BPS string tensions in the Kahler moduli space are positive imposes specific restrictions on the Chern-Simons coefficients in the 5d effective Lagrangians that are derived from the Kaluza-Klein reductions of 6d theories. Moreover, the emergence of local interacting 5d CFTs when the moduli space metric degenerates introduces additional constraints coming from the analysis of 5d SCFTs. Focusing on the moduli spaces of 6d supergravity theories without a tensor multiplet and their Higgsings, we show that these constraints require the presence of certain primary states in the 2d worldvolume CFTs on 1/2 BPS strings. We specifically analyze a class of SU(2) models and infinite families of U(1) models using these constraints, and demonstrate that the theories featuring a 1-form symmetry in their massless spectra, unless the 1-form symmetry is gauged, fail to satisfy the constraints and therefore belong to the Swampland.

7.91548

7.897183

9.48905

7.200274

7.247807

7.773691

7.714026

7.383089

7.577518

10.163039

7.270482

7.661958

8.516164

7.629676

7.459048

7.672639

7.26149

7.460594

7.647197

8.498847

7.4682

0905.4326

Makoto Sakamoto

Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point

10 pages, Added references

Phys.Rev.D79:124038,2009

10.1103/PhysRevD.79.124038

KOBE-TH-09-04

hep-th

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

We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in D+1 dimensions with D= odd in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Horava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent z>1. Our results support the idea and show that the Wheeler-DeWitt equation possesses a solution associated with a z=2 Lifshitz point but no other z>2 solutions to leading order of the strong coupling expansion.

[ { "created": "Wed, 27 May 2009 04:03:02 GMT", "version": "v1" }, { "created": "Thu, 18 Jun 2009 01:29:49 GMT", "version": "v2" } ]

2009-07-09

[ [ "Sakamoto", "Makoto", "" ] ]

We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in D+1 dimensions with D= odd in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Horava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent z>1. Our results support the idea and show that the Wheeler-DeWitt equation possesses a solution associated with a z=2 Lifshitz point but no other z>2 solutions to leading order of the strong coupling expansion.

9.178674

9.243172

9.626277

8.348324

9.146609

9.269277

8.878078

8.357832

8.26032

10.599943

8.225122

8.723056

8.947063

8.505413

8.719683

8.250542

8.335822

8.429285

8.623218

9.050284

8.442912

hep-th/9812103

Wifredo Garcia Fuertes

W. Garcia Fuertes (Universidad de Oviedo) and J. Mateos Guilarte (Universidad de Salamanca)

Low Energy Vortex Dynamics in Abelian Higgs Systems

26 pages, 1 figure, to appear in The European Physical Journal C

Eur.Phys.J.C9:535-547,1999

10.1007/s100529900033

FFUOV-98-18, FTUS preprint (Universidad de Salamanca)

hep-th

null

The low energy dynamics of the vortices of the Abelian Chern-Simons-Higgs system is investigated from the adiabatic approach. The difficulties involved in treating the field evolution as motion on the moduli space in this system are shown. Another two generalized Abelian Higgs systems are discusssed with respect to their vortex dynamics at the adiabatic limit. The method works well and we find bound states in the first model and scattering at right angles in the second system.

[ { "created": "Sat, 12 Dec 1998 19:32:58 GMT", "version": "v1" } ]

2008-11-26

[ [ "Fuertes", "W. Garcia", "", "Universidad de Oviedo" ], [ "Guilarte", "J. Mateos", "", "Universidad de Salamanca" ] ]

The low energy dynamics of the vortices of the Abelian Chern-Simons-Higgs system is investigated from the adiabatic approach. The difficulties involved in treating the field evolution as motion on the moduli space in this system are shown. Another two generalized Abelian Higgs systems are discusssed with respect to their vortex dynamics at the adiabatic limit. The method works well and we find bound states in the first model and scattering at right angles in the second system.

15.132752

12.382088

16.129093

13.519546

12.779295

13.114291

13.957685

12.253974

12.187003

16.660549

12.520766

13.083302

15.100098

13.575085

13.906113

13.366184

14.02866

13.190903

13.690629

14.596251

13.296252

1111.5457

Axel Maas

On the structure of the residual gauge orbit

12 pages, 6 figures, talk given at the "II International Workshop on QCD Green"s Functions, Confinement and Phenomenology", Trento, Italy, September 2011. Submitted to the proceedings

PoS(QCD-TNT-II)028 (2011)

null

hep-th hep-lat hep-ph

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

Gauge-fixed correlation functions are a valuable tool in intermediate steps when determining gauge-invariant physics. However, when obtaining them in different calculations, it is necessary to use exactly the same definition of the gauge to ensure comparability. Beyond perturbation theory, this is complicated by the Gribov-Singer ambiguity. In principle, lattice gauge theory can manipulate individual Gribov copies, thus making it an excellent method to deal with the ambiguity. However, to compare to continuum methods this requires to replicate the same treatment outside the lattice, usually in a path integral formulation. Here, the properties of the gauge orbit will be investigated with respect to this question. Especially, the possibility of employing averages over Gribov copies in non-perturbative generalizations of the Landau gauge will be discussed.

[ { "created": "Wed, 23 Nov 2011 11:08:59 GMT", "version": "v1" } ]

2012-01-06

[ [ "Maas", "Axel", "" ] ]

Gauge-fixed correlation functions are a valuable tool in intermediate steps when determining gauge-invariant physics. However, when obtaining them in different calculations, it is necessary to use exactly the same definition of the gauge to ensure comparability. Beyond perturbation theory, this is complicated by the Gribov-Singer ambiguity. In principle, lattice gauge theory can manipulate individual Gribov copies, thus making it an excellent method to deal with the ambiguity. However, to compare to continuum methods this requires to replicate the same treatment outside the lattice, usually in a path integral formulation. Here, the properties of the gauge orbit will be investigated with respect to this question. Especially, the possibility of employing averages over Gribov copies in non-perturbative generalizations of the Landau gauge will be discussed.

12.464849

14.353561

13.813231

13.369195

14.635272

14.705376

15.31454

14.702136

13.306679

14.082118

13.526271

12.908551

12.607403

12.172745

12.18611

12.344082

12.985246

12.573035

12.330817

12.878618

12.592545

hep-th/9502121

null

S.A.Frolov

Hamiltonian lattice gauge models and the Heisenberg double

10 pages, latex, no figures

Mod.Phys.Lett. A10 (1995) 2885-2896

10.1142/S0217732395003021

LMU-TPW 95-3

hep-th

null

Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary space-time dimensions. It is shown that the corresponding generalization of the gauge-invariant Wilson line observables requires to attach to each vertex of the line a vertex operator which goes to the unity in the continuum limit.

[ { "created": "Mon, 20 Feb 1995 12:04:03 GMT", "version": "v1" } ]

2015-06-26

[ [ "Frolov", "S. A.", "" ] ]

Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary space-time dimensions. It is shown that the corresponding generalization of the gauge-invariant Wilson line observables requires to attach to each vertex of the line a vertex operator which goes to the unity in the continuum limit.

15.103172

12.862723

14.274871

11.824424

11.826149

12.996696

12.24444

11.446384

11.608813

15.646544

11.456139

11.496563

13.20685

11.500422

11.890219

11.382425

11.877019

12.369844

12.742427

13.209464

12.294802

0905.3474

Hristu Culetu

Light Dragging Phenomenon and Expanding Wormholes

9 pages, no figures, title changed, version published in J. Korean Phys. Soc. 57 (3), 419 - 423 (2010)

null

10.3938/jkps.57.419

null

hep-th gr-qc

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

The null geodesic congruence for the Lorentzian version of Hawking's wormhole is studied, in spherical Rindler coordinates. One finds that the wormhole throat expands exponentially and the "flare - out" condition is satisfied. A time reversal is equivalent with an inversion applied to the radial coordinate. The stress energy is mostly located near wormhole's throat and the anisotropic fluid is comoving with the spherical distribution of accelerating observers. Far from the throat (the light cone in Cartesian coordinates) the negative energy density acquires an expression similar with the Casimir energy density between two perfectly reflecting plates. We conjecture that the light propagation follows the throat of a preexisting expanding wormhole (a "light dragging" phenomenon).

[ { "created": "Thu, 21 May 2009 11:51:11 GMT", "version": "v1" }, { "created": "Thu, 28 May 2009 12:38:33 GMT", "version": "v2" }, { "created": "Thu, 16 Sep 2010 13:06:57 GMT", "version": "v3" } ]

2015-05-13

[ [ "Culetu", "Hristu", "" ] ]

The null geodesic congruence for the Lorentzian version of Hawking's wormhole is studied, in spherical Rindler coordinates. One finds that the wormhole throat expands exponentially and the "flare - out" condition is satisfied. A time reversal is equivalent with an inversion applied to the radial coordinate. The stress energy is mostly located near wormhole's throat and the anisotropic fluid is comoving with the spherical distribution of accelerating observers. Far from the throat (the light cone in Cartesian coordinates) the negative energy density acquires an expression similar with the Casimir energy density between two perfectly reflecting plates. We conjecture that the light propagation follows the throat of a preexisting expanding wormhole (a "light dragging" phenomenon).

19.863678

21.632128

17.758621

19.115377

20.439468

20.751633

21.163855

19.069052

21.083496

18.008314

19.78858

19.887512

19.281208

18.826237

18.50704

18.837381

19.245451

18.964558

19.686367

18.873991

19.035702

1609.01311

Steven Abel

A Dynamical Mechanism for Large Volumes with Consistent Couplings

28 pages, 8 figures

null

10.1007/JHEP11(2016)085

IPPP/16/68

hep-th hep-ph

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

A mechanism for addressing the 'decompactification problem' is proposed, which consists of balancing the vacuum energy in Scherk-Schwarzed theories against contributions coming from non- perturbative physics. Universality of threshold corrections ensures that, in such situations, the stable minimum will have consistent gauge couplings for any gauge group that shares the same N = 2 beta function for the bulk excitations as the gauge group that takes part in the minimisation. Scherk- Schwarz compactification from 6D to 4D in heterotic strings is discussed explicitly, together with two alternative possibilities for the non-perturbative physics, namely metastable SQCD vacua and a single gaugino condensate. In the former case, it is shown that modular symmetries gives various consistency checks, and allow one to follow soft-terms, playing a similar role to R-symmetry in global SQCD. The latter case is particularly attractive when there is nett Bose-Fermi degeneracy in the massless sector. In such cases, because the original Casimir energy is generated entirely by excited and/or non-physical string modes, it is completely immune to the non-perturbative IR physics. The large separation between UV and IR contributions to the potential greatly simplifies the analysis of stabilisation, and is a general possibility that has not been considered before.

[ { "created": "Mon, 5 Sep 2016 20:11:39 GMT", "version": "v1" } ]

2016-12-21

[ [ "Abel", "Steven", "" ] ]

A mechanism for addressing the 'decompactification problem' is proposed, which consists of balancing the vacuum energy in Scherk-Schwarzed theories against contributions coming from non- perturbative physics. Universality of threshold corrections ensures that, in such situations, the stable minimum will have consistent gauge couplings for any gauge group that shares the same N = 2 beta function for the bulk excitations as the gauge group that takes part in the minimisation. Scherk- Schwarz compactification from 6D to 4D in heterotic strings is discussed explicitly, together with two alternative possibilities for the non-perturbative physics, namely metastable SQCD vacua and a single gaugino condensate. In the former case, it is shown that modular symmetries gives various consistency checks, and allow one to follow soft-terms, playing a similar role to R-symmetry in global SQCD. The latter case is particularly attractive when there is nett Bose-Fermi degeneracy in the massless sector. In such cases, because the original Casimir energy is generated entirely by excited and/or non-physical string modes, it is completely immune to the non-perturbative IR physics. The large separation between UV and IR contributions to the potential greatly simplifies the analysis of stabilisation, and is a general possibility that has not been considered before.

15.9259

17.511362

16.72142

16.073633

16.663073

16.140238

17.80966

16.674843

16.328421

17.97261

16.042496

15.908

15.520703

15.767077

15.883562

15.853274

15.734959

15.71436

15.692672

16.289845

15.785712

hep-th/0109113

Zupnik B. M.

B.M. Zupnik

Static BPS-conditions in N=2 harmonic superspace

Latex file 4 pages, talk at the conference SUSY01, Dubna, June 11-17, 2001

null

10.1142/9789812778192_0080

null

hep-th

null

We analyze superfield representations of BPS-conditions for the self-dual static solutions of D=4, N=2 supersymmetric Yang-Mills theory.

[ { "created": "Fri, 14 Sep 2001 07:49:34 GMT", "version": "v1" } ]

2017-08-23

[ [ "Zupnik", "B. M.", "" ] ]

We analyze superfield representations of BPS-conditions for the self-dual static solutions of D=4, N=2 supersymmetric Yang-Mills theory.

13.713039

8.709068

10.209559

8.082168

8.715929

8.529539

9.643145

8.664135

7.18235

12.889612

8.018354

9.035044

12.3846

9.110919

8.736687

8.920572

9.074674

8.962482

9.448688

11.523105

8.171181

hep-th/0512011

Terry Gannon

P. Bantay and T. Gannon

Conformal characters and the modular representation

17 pages

JHEP0602:005,2006

10.1088/1126-6708/2006/02/005

null

hep-th math.NT math.QA

null

A general procedure is presented to determine, given any suitable representation of the modular group, the characters of all possible Rational Conformal Field Theories whose associated modular representation is the given one. The relevant ideas and methods are illustrated on two non-trivial examples: the Yang-Lee and the Ising models.

[ { "created": "Thu, 1 Dec 2005 15:17:57 GMT", "version": "v1" } ]

2009-11-11

[ [ "Bantay", "P.", "" ], [ "Gannon", "T.", "" ] ]

A general procedure is presented to determine, given any suitable representation of the modular group, the characters of all possible Rational Conformal Field Theories whose associated modular representation is the given one. The relevant ideas and methods are illustrated on two non-trivial examples: the Yang-Lee and the Ising models.

13.405428

8.116341

10.308887

8.223254

8.245198

8.785667

8.226484

9.570696

7.522231

10.970086

8.62104

8.861979

9.880269

8.805228

8.915176

9.278665

8.922213

8.938118

8.874178

9.877888

9.570745

hep-th/0612244

Kazuo Ghoroku

Kazuo Ghoroku, Masafumi Ishihara and Akihiro Nakamura

Flavor quarks in AdS4 and gauge/gravity correspondence

18 pages, 8 figures

Phys.Rev.D75:046005,2007

10.1103/PhysRevD.75.046005

FIT HE - 06-03

hep-th

null

The non-perturbative properties of the gauge theories in the AdS${}_4$ are studied in the dual supergravity by including light flavor quarks, which are introduced by a D7 brane embedding. Contrary to the cases of Minkowski and dS${}_4$, the dilaton does not play any important dynamical role in the AdS${}_4$ case, and the characteristic properties like the quark confinement and the chiral symmetry breaking are realized mainly due to the geometry AdS${}_4$. The possible hadron spectra %in the AdS${}_4$ are also examined, and we find that the meson spectra are well described by the formula given by the field theory in AdS${}_4$, but the characteristic mass scale is modified by the gauge interactions for exited states.

[ { "created": "Fri, 22 Dec 2006 02:15:24 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ghoroku", "Kazuo", "" ], [ "Ishihara", "Masafumi", "" ], [ "Nakamura", "Akihiro", "" ] ]

The non-perturbative properties of the gauge theories in the AdS${}_4$ are studied in the dual supergravity by including light flavor quarks, which are introduced by a D7 brane embedding. Contrary to the cases of Minkowski and dS${}_4$, the dilaton does not play any important dynamical role in the AdS${}_4$ case, and the characteristic properties like the quark confinement and the chiral symmetry breaking are realized mainly due to the geometry AdS${}_4$. The possible hadron spectra %in the AdS${}_4$ are also examined, and we find that the meson spectra are well described by the formula given by the field theory in AdS${}_4$, but the characteristic mass scale is modified by the gauge interactions for exited states.

9.297273

9.612002

10.161999

8.659926

9.358359

9.660929

9.429262

9.406392

8.81235

9.722119

8.899914

8.878748

9.279977

8.809156

8.904819

9.029066

9.136709

8.880616

8.857534

9.534958

8.653237

hep-th/9402153

Juergen Fuchs

J\"urgen Fuchs, Alexander Ganchev, and Peter Vecserny\'es

Towards a classification of rational Hopf algebras

35 pages

null

NIKHEF-H/94-05 and KL-TH-94/4

hep-th math.QA

null

Rational Hopf algebras (certain quasitriangular weak quasi-Hopf $^*$-algebras) are expected to describe the quantum symmetry of rational field theories. In this paper methods are developped which allow for a classification of all rational Hopf algebras that are compatible with some prescribed set of fusion rules. The algebras are parametrized by the solutions of the square, pentagon and hexagon identities. As examples, we classify all solutions for fusion rules with two or three sectors, and for the level three affine $A_1$ fusion rules. We also establish several general properties of rational Hopf algebras, and we present a graphical description of the coassociator in terms of labelled tetrahedra which allows to make contact with conformal field theory fusing matrices and with invariants of three-manifolds and topological lattice field theory.

[ { "created": "Mon, 28 Feb 1994 17:28:20 GMT", "version": "v1" } ]

2008-02-03

[ [ "Fuchs", "Jürgen", "" ], [ "Ganchev", "Alexander", "" ], [ "Vecsernyés", "Peter", "" ] ]

Rational Hopf algebras (certain quasitriangular weak quasi-Hopf $^*$-algebras) are expected to describe the quantum symmetry of rational field theories. In this paper methods are developped which allow for a classification of all rational Hopf algebras that are compatible with some prescribed set of fusion rules. The algebras are parametrized by the solutions of the square, pentagon and hexagon identities. As examples, we classify all solutions for fusion rules with two or three sectors, and for the level three affine $A_1$ fusion rules. We also establish several general properties of rational Hopf algebras, and we present a graphical description of the coassociator in terms of labelled tetrahedra which allows to make contact with conformal field theory fusing matrices and with invariants of three-manifolds and topological lattice field theory.

7.271529

8.793695

8.490455

7.955092

7.294664

7.715077

7.778999

7.804692

7.376643

8.786867

7.534622

6.951139

7.354531

6.871325

6.87616

7.025718

6.920314

6.932247

6.810725

7.236341

7.200689

2402.12924

Eunwoo Lee

Seunggyu Kim and Eunwoo Lee

Holographic Tests for Giant Graviton Expansion

23+10 pages, 4 figures, 1 table, JHEP style

null

hep-th

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

It has been proposed that the superconformal index admits a novel reformulation, called giant graviton expansion. In this paper, we investigate the properties of dual $AdS_5$ black holes using the giant graviton expansion framework. First, we compute the entropy of black holes in $AdS_5\times S^5$ with fixed charges through a large $N$ saddle point analysis on the giant graviton index and further extremize it in the wrapping number. We identify a specific regime of fugacities where our saddle point analysis is valid. It turns out that this condition ensures the absence of closed-time-like curves and the stability of dual black hole solutions with equal charges. In addition, the giant graviton expansion of the index provides insights into how small black holes in AdS can be interpreted as bound states of branes. We extend our study to include the giant graviton expansion with the insertion of a half-BPS surface defect in $\mathcal{N}=4$ SYM with a $U(N)$ gauge group. Finally, we test the giant graviton expansion in various holographic theories whose dual geometries are $AdS_5\times S^5/\mathbb{Z}_k$ and $AdS_5\times SE_5$.

[ { "created": "Tue, 20 Feb 2024 11:19:12 GMT", "version": "v1" } ]

2024-02-21

[ [ "Kim", "Seunggyu", "" ], [ "Lee", "Eunwoo", "" ] ]

It has been proposed that the superconformal index admits a novel reformulation, called giant graviton expansion. In this paper, we investigate the properties of dual $AdS_5$ black holes using the giant graviton expansion framework. First, we compute the entropy of black holes in $AdS_5\times S^5$ with fixed charges through a large $N$ saddle point analysis on the giant graviton index and further extremize it in the wrapping number. We identify a specific regime of fugacities where our saddle point analysis is valid. It turns out that this condition ensures the absence of closed-time-like curves and the stability of dual black hole solutions with equal charges. In addition, the giant graviton expansion of the index provides insights into how small black holes in AdS can be interpreted as bound states of branes. We extend our study to include the giant graviton expansion with the insertion of a half-BPS surface defect in $\mathcal{N}=4$ SYM with a $U(N)$ gauge group. Finally, we test the giant graviton expansion in various holographic theories whose dual geometries are $AdS_5\times S^5/\mathbb{Z}_k$ and $AdS_5\times SE_5$.

6.89493

6.00954

7.337247

6.333958

6.027362

6.008348

6.188323

6.194548

6.201474

8.085084

6.100036

6.492904

6.979987

6.489742

6.463665

6.492989

6.599156

6.261245

6.471455

6.983643

6.380114

1110.6720

Ming Yu

Jian-feng Wu, Ming Yu

Calogero-Sutherland model in interacting fermion picture and explicit construction of Jack states

4 pages, 0 figures, abstract modified, references changed, typo corrected

null

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

http://creativecommons.org/licenses/by/3.0/

The 40-year-old Calogero-Sutherland (CS) model remains a source of inspirations for understanding 1d interacting fermions. At $\beta=1, \text{or}0$, the CS model describes a free non-relativistic fermion, or boson theory, while for generic $\beta$, the system can be interpreted either as interacting fermions or bosons, or free anyons depending on the context. However, we shall show in this letter that the fermionic picture is advantageous in diagonalizing the CS Hamiltonian. Comparing to the previously known multi-integral representation or the Dunkl operator formalism for the CS wave functions, our method depends on the (upper or lower) triangular nature of the fermion interaction, which is resolved in perturbation theory of the second quantized form. The eigenstate is constructed from a multiplet of unperturbed states and the perturbation is of finite order. The full construction is a similarity transformation from the free fermion theory, in the same spirit as the Landau Fermi liquid theory and the 1d Luttinger liquid theory. That means quasi-particles or anyons can be represented in terms of free fermion modes (or bosonic modes via bosonization). The method is applicable to other (higher than one space dimension) systems for which the adiabatic theorem applies.

[ { "created": "Mon, 31 Oct 2011 08:46:39 GMT", "version": "v1" }, { "created": "Fri, 4 Nov 2011 04:42:20 GMT", "version": "v2" } ]

2011-11-07

[ [ "Wu", "Jian-feng", "" ], [ "Yu", "Ming", "" ] ]

The 40-year-old Calogero-Sutherland (CS) model remains a source of inspirations for understanding 1d interacting fermions. At $\beta=1, \text{or}0$, the CS model describes a free non-relativistic fermion, or boson theory, while for generic $\beta$, the system can be interpreted either as interacting fermions or bosons, or free anyons depending on the context. However, we shall show in this letter that the fermionic picture is advantageous in diagonalizing the CS Hamiltonian. Comparing to the previously known multi-integral representation or the Dunkl operator formalism for the CS wave functions, our method depends on the (upper or lower) triangular nature of the fermion interaction, which is resolved in perturbation theory of the second quantized form. The eigenstate is constructed from a multiplet of unperturbed states and the perturbation is of finite order. The full construction is a similarity transformation from the free fermion theory, in the same spirit as the Landau Fermi liquid theory and the 1d Luttinger liquid theory. That means quasi-particles or anyons can be represented in terms of free fermion modes (or bosonic modes via bosonization). The method is applicable to other (higher than one space dimension) systems for which the adiabatic theorem applies.

10.860682

11.38048

11.104289

10.231615

11.03971

11.303816

11.861449

10.872264

10.423909

11.614791

9.954653

10.439265

10.775394

10.127687

10.137436

9.979872

10.379854

10.357505

10.098022

10.536707

9.686402

hep-th/0410168

Don Marolf

Donald Marolf

A few words on Entropy, Thermodynamics, and Horizons

20 pages, for the Proceedings of the GR17 conference, Dublin, Ireland, July 2004

null

10.1142/9789812701688_0008

null

hep-th gr-qc quant-ph

null

We review recent progress in understanding certain aspects of the thermodynamics of black holes and other horizons. Our discussion centers on various ``entropy bounds'' which have been proposed in the literature and on the current understanding of how such bounds are {\it not} required for the semi-classical consistency of black hole thermodynamics. Instead, consistency under certain extreme circumstances is provided by two effects. The first is simply the exponential enhancement of the rate at which a macrostate with large entropy is emitted in any thermal process. The second is a new sense in which the entropy of an ``object'' depends on the observer making the measurement, so that observers crossing the horizon measure a different entropy flux across the horizon than do observers remaining outside. In addition to the review, some recent criticisms are addressed. In particular, additional arguments and detailed numerical calculations showing the observer dependence of entropy are presented in a simple model. This observer-dependence may have further interesting implications for the thermodynamics of black holes.

[ { "created": "Thu, 14 Oct 2004 18:15:49 GMT", "version": "v1" }, { "created": "Fri, 22 Oct 2004 17:52:31 GMT", "version": "v2" } ]

2017-08-23

[ [ "Marolf", "Donald", "" ] ]

We review recent progress in understanding certain aspects of the thermodynamics of black holes and other horizons. Our discussion centers on various ``entropy bounds'' which have been proposed in the literature and on the current understanding of how such bounds are {\it not} required for the semi-classical consistency of black hole thermodynamics. Instead, consistency under certain extreme circumstances is provided by two effects. The first is simply the exponential enhancement of the rate at which a macrostate with large entropy is emitted in any thermal process. The second is a new sense in which the entropy of an ``object'' depends on the observer making the measurement, so that observers crossing the horizon measure a different entropy flux across the horizon than do observers remaining outside. In addition to the review, some recent criticisms are addressed. In particular, additional arguments and detailed numerical calculations showing the observer dependence of entropy are presented in a simple model. This observer-dependence may have further interesting implications for the thermodynamics of black holes.

11.570993

12.216368

11.472883

11.239878

12.492707

12.271259

12.197933

11.90067

11.468529

12.790726

11.681452

10.894338

11.270983

10.665247

10.900631

11.102205

11.210051

10.869892

11.044622

11.091124

10.891723

1607.03897

Diego Regalado

Pierre Corvilain, Thomas W. Grimm, Diego Regalado

Shift-symmetries and gauge coupling functions in orientifolds and F-theory

48 pages. v2: minor corrections

null

10.1007/JHEP05(2017)059

null

hep-th

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

We investigate the field dependence of the gauge coupling functions of four-dimensional Type IIB orientifold and F-theory compactifications with space-time filling seven-branes. In particular, we analyze the constraints imposed by holomorphicity and covariance under shift-symmetries of the bulk and brane axions. This requires introducing quantum corrections that necessarily contain Riemann theta functions on the complex torus spanned by the D7-brane Wilson line moduli. Our findings hint towards a new underlying geometric structure for gauge coupling functions in string compactifications. We generalize this discussion to a genuine F-theory compactification on an elliptically fibered Calabi-Yau fourfold. We perform the first general dimensional reduction of eleven-dimensional supergravity and dualization to the F-theory frame. The resulting effective action is compared with the circle reduction of a four-dimensional N=1 supergravity theory. The F-theory geometry elegantly unifies bulk and brane degrees of freedom and allows us to infer non-trivial results about holomorphicity and shift-symmetries. For instance, we gain new insight into kinetic mixing of bulk and brane gauge fields.

[ { "created": "Wed, 13 Jul 2016 20:00:02 GMT", "version": "v1" }, { "created": "Mon, 22 May 2017 13:21:25 GMT", "version": "v2" } ]

2017-06-07

[ [ "Corvilain", "Pierre", "" ], [ "Grimm", "Thomas W.", "" ], [ "Regalado", "Diego", "" ] ]

We investigate the field dependence of the gauge coupling functions of four-dimensional Type IIB orientifold and F-theory compactifications with space-time filling seven-branes. In particular, we analyze the constraints imposed by holomorphicity and covariance under shift-symmetries of the bulk and brane axions. This requires introducing quantum corrections that necessarily contain Riemann theta functions on the complex torus spanned by the D7-brane Wilson line moduli. Our findings hint towards a new underlying geometric structure for gauge coupling functions in string compactifications. We generalize this discussion to a genuine F-theory compactification on an elliptically fibered Calabi-Yau fourfold. We perform the first general dimensional reduction of eleven-dimensional supergravity and dualization to the F-theory frame. The resulting effective action is compared with the circle reduction of a four-dimensional N=1 supergravity theory. The F-theory geometry elegantly unifies bulk and brane degrees of freedom and allows us to infer non-trivial results about holomorphicity and shift-symmetries. For instance, we gain new insight into kinetic mixing of bulk and brane gauge fields.

8.869527

9.01996

10.480652

8.969291

9.313202

9.444483

9.038078

8.989267

8.646279

11.196546

8.800834

8.560996

9.389177

8.732175

8.496298

8.327759

8.60258

8.598758

8.599803

9.520088

8.485272

hep-th/0511092

Holger Gies

Holger Gies and Klaus Klingmuller

Quantum energies with worldline numerics

8 pages, 2 figures, Submitted to the Proceedings of the Seventh Workshop QFEXT'05 (Barcelona, September 5-9, 2005), Refs updated, version to appear in JPhysA

J.Phys.A39:6415-6422,2006

10.1088/0305-4470/39/21/S36

HD-THEP-05-25

hep-th quant-ph

null

We present new results for Casimir forces between rigid bodies which impose Dirichlet boundary conditions on a fluctuating scalar field. As a universal computational tool, we employ worldline numerics which builds on a combination of the string-inspired worldline approach with Monte-Carlo techniques. Worldline numerics is not only particularly powerful for inhomogeneous background configurations such as involved Casimir geometries, it also provides for an intuitive picture of quantum-fluctuation-induced phenomena. Results for the Casimir geometries of a sphere above a plate and a new perpendicular-plates configuration are presented.

[ { "created": "Tue, 8 Nov 2005 14:47:45 GMT", "version": "v1" }, { "created": "Fri, 24 Mar 2006 10:45:09 GMT", "version": "v2" } ]

2009-11-11

[ [ "Gies", "Holger", "" ], [ "Klingmuller", "Klaus", "" ] ]

We present new results for Casimir forces between rigid bodies which impose Dirichlet boundary conditions on a fluctuating scalar field. As a universal computational tool, we employ worldline numerics which builds on a combination of the string-inspired worldline approach with Monte-Carlo techniques. Worldline numerics is not only particularly powerful for inhomogeneous background configurations such as involved Casimir geometries, it also provides for an intuitive picture of quantum-fluctuation-induced phenomena. Results for the Casimir geometries of a sphere above a plate and a new perpendicular-plates configuration are presented.

10.8647

9.838796

13.702108

10.005657

12.634975

10.622025

11.129609

10.623576

9.79005

13.388519

10.833715

11.016413

10.820462

10.367781

10.774113

10.72747

10.347878

10.319848

10.749038

10.841913

10.706712

2211.05147

Andrea Olzi

Francesco Bigazzi, Aldo L. Cotrone, Andrea Olzi

Hall Droplet Sheets in Holographic QCD

minor improvements

null

10.1007/JHEP02(2023)194

null

hep-th hep-ph nucl-th

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

In single-flavor QCD, the low energy description of baryons as Skyrmions is not available. In this case, it has been proposed by Komargodski that baryons can be viewed as kinds of charged quantum Hall droplets, or "sheets". In this paper we propose a string theory description of the sheets in single-flavor holographic QCD, focusing on the Witten-Sakai-Sugimoto model. The sheets have a "hard" gluonic core, described by D6-branes, and a "soft" mesonic shell, dual to non-trivial D8-brane gauge field configurations. We first provide the description of an infinitely extended sheet with massless or moderately massive quarks. Then, we construct a semi-infinite sheet ending on a one-dimensional boundary, a "vortex string". The holographic description allows for the precise calculation of sheet observables. In particular, we compute the tension and thickness of the sheet and the vortex string, and provide their four dimensional effective actions.

[ { "created": "Wed, 9 Nov 2022 19:00:19 GMT", "version": "v1" }, { "created": "Thu, 18 May 2023 10:51:38 GMT", "version": "v2" } ]

2023-05-19

[ [ "Bigazzi", "Francesco", "" ], [ "Cotrone", "Aldo L.", "" ], [ "Olzi", "Andrea", "" ] ]

In single-flavor QCD, the low energy description of baryons as Skyrmions is not available. In this case, it has been proposed by Komargodski that baryons can be viewed as kinds of charged quantum Hall droplets, or "sheets". In this paper we propose a string theory description of the sheets in single-flavor holographic QCD, focusing on the Witten-Sakai-Sugimoto model. The sheets have a "hard" gluonic core, described by D6-branes, and a "soft" mesonic shell, dual to non-trivial D8-brane gauge field configurations. We first provide the description of an infinitely extended sheet with massless or moderately massive quarks. Then, we construct a semi-infinite sheet ending on a one-dimensional boundary, a "vortex string". The holographic description allows for the precise calculation of sheet observables. In particular, we compute the tension and thickness of the sheet and the vortex string, and provide their four dimensional effective actions.

9.537898

8.932747

9.651406

9.196285

9.64889

9.674481

9.570912

9.596531

9.043588

10.218528

9.068838

9.167271

9.550392

9.275889

9.326299

9.229371

9.128279

8.917245

8.959037

9.347374

9.049113

1406.3038

Shamik Banerjee

Note On The Dilaton Effective Action And Entanglement Entropy

Latex, 9 Pages

null

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

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

In this note we do the analysis of entanglement entropy more carefully when the non-conformal theory flows to a non-trivial IR fixed point. In particular we emphasize the role of the trace of the energy-momentum tensor in these calculations. We also compare the current technique for evaluating the entanglement entropy, particularly the Green's function method for gaussian theories, with the dilaton effective action approach and show that they compute identical quantities. As a result of this, the dilaton effective action approach can be thought of as an extension of Green's function technique to interacting theories.

[ { "created": "Wed, 11 Jun 2014 20:01:09 GMT", "version": "v1" } ]

2014-07-02

[ [ "Banerjee", "Shamik", "" ] ]

In this note we do the analysis of entanglement entropy more carefully when the non-conformal theory flows to a non-trivial IR fixed point. In particular we emphasize the role of the trace of the energy-momentum tensor in these calculations. We also compare the current technique for evaluating the entanglement entropy, particularly the Green's function method for gaussian theories, with the dilaton effective action approach and show that they compute identical quantities. As a result of this, the dilaton effective action approach can be thought of as an extension of Green's function technique to interacting theories.

10.180066

8.929442

9.737854

9.135481

9.483005

9.124878

8.977858

8.302587

8.709957

10.420195

8.583242

9.041127

9.455721

9.020568

9.181213

9.17712

9.284042

8.886219

9.326343

9.509381

8.833118

1307.1109

Denis Dalmazi

D. Dalmazi

A note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields

9 pages, no figures

null

10.1103/PhysRevD.88.045003

null

hep-th

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

It is possible to show that there are three independent families of models describing a massive spin-2 particle via a rank-2 tensor. One of them contains the massive Fierz-Pauli model, the only case described by a symmetric tensor. The three families have different local symmetries in the massless limit and can not be interconnected by any local field redefinition. We show here however, that they can be related with the help of a decoupled and non dynamic (spectator) field. The spectator field may be either an antisymmetric tensor $B_{\mu\nu}=-B_{\nu\mu}$, a vector $A_{\mu}$ or a scalar field $\varphi$, corresponding to each of the three families. The addition of the extra field allows us to formulate master actions which interpolate between the symmetric Fierz-Pauli theory and the other models. We argue that massive gravity models based on the Fierz-Pauli theory are not expected to be equivalent to possible local self-interacting theories built up on the top of the two new families of massive spin-2 models. The approach used here may be useful to investigate dual (nonsymmetric) formulations of higher spin particles.

[ { "created": "Wed, 3 Jul 2013 18:55:20 GMT", "version": "v1" } ]

2013-08-14

[ [ "Dalmazi", "D.", "" ] ]

It is possible to show that there are three independent families of models describing a massive spin-2 particle via a rank-2 tensor. One of them contains the massive Fierz-Pauli model, the only case described by a symmetric tensor. The three families have different local symmetries in the massless limit and can not be interconnected by any local field redefinition. We show here however, that they can be related with the help of a decoupled and non dynamic (spectator) field. The spectator field may be either an antisymmetric tensor $B_{\mu\nu}=-B_{\nu\mu}$, a vector $A_{\mu}$ or a scalar field $\varphi$, corresponding to each of the three families. The addition of the extra field allows us to formulate master actions which interpolate between the symmetric Fierz-Pauli theory and the other models. We argue that massive gravity models based on the Fierz-Pauli theory are not expected to be equivalent to possible local self-interacting theories built up on the top of the two new families of massive spin-2 models. The approach used here may be useful to investigate dual (nonsymmetric) formulations of higher spin particles.

7.976504

7.3645

8.301171

7.516952

7.772799

7.801484

7.565318

7.522768

7.32052

8.94768

7.569065

7.372561

7.816954

7.417465

7.466535

7.370749

7.361317

7.227871

7.455489

7.883831

7.214128

1810.13217

Ritabrata Bhattacharya

Ritabrata Bhattacharya, Dileep P. Jatkar, Arnab Kundu

Chaotic Correlation Functions with Complex Fermions

22 pages, 7 figures, numerical calculations improved, 2 time-fold and 3 time-fold OTO correlators computed

SciPost Phys. Core 4, 018 (2021)

10.21468/SciPostPhysCore.4.2.018

null

hep-th

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

We study correlation functions in the complex fermion SYK model. We focus, specifically, on the h = 2 mode which explicitly breaks conformal invariance and exhibits the chaotic behaviour. We explicitly compute fermion six-point function and extract the corresponding six-point OTOC which exhibits an exponential growth with maximal chaos. Following the program of Gross-Rosenhaus, this correlator contains information of the bulk cubic coupling, at the conformal point as well as perturbatively away from it. Unlike the conformal modes with high values of h, the h = 2 mode has contact interaction dominating over the planar in the large q limit.

[ { "created": "Wed, 31 Oct 2018 11:10:32 GMT", "version": "v1" }, { "created": "Tue, 15 Jan 2019 05:46:02 GMT", "version": "v2" }, { "created": "Sun, 6 Dec 2020 07:46:42 GMT", "version": "v3" }, { "created": "Mon, 22 Feb 2021 05:53:05 GMT", "version": "v4" } ]

2022-03-28

[ [ "Bhattacharya", "Ritabrata", "" ], [ "Jatkar", "Dileep P.", "" ], [ "Kundu", "Arnab", "" ] ]

We study correlation functions in the complex fermion SYK model. We focus, specifically, on the h = 2 mode which explicitly breaks conformal invariance and exhibits the chaotic behaviour. We explicitly compute fermion six-point function and extract the corresponding six-point OTOC which exhibits an exponential growth with maximal chaos. Following the program of Gross-Rosenhaus, this correlator contains information of the bulk cubic coupling, at the conformal point as well as perturbatively away from it. Unlike the conformal modes with high values of h, the h = 2 mode has contact interaction dominating over the planar in the large q limit.

17.62855

18.386223

20.249702

16.606207

16.531345

19.582575

17.731033

16.184401

16.25004

23.54195

15.471861

16.028067

17.894482

15.871622

16.32449

15.940354

15.960335

16.568525

16.132088

17.792467

15.92129

1212.4831

I\~naki Garc\'ia-Etxebarria

I\~naki Garc\'ia-Etxebarria, Hirotaka Hayashi, Raffaele Savelli and Gary Shiu

On quantum corrected K\"ahler potentials in F-theory

57 pages, 2 figures. v2: Added references, version to appear in JHEP

null

CERN-PH-TH/2012-359, MAD-TH-12-09, MPP-2012-185, KIAS P-12085

hep-th

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

We work out the exact in string coupling and perturbatively exact in \alpha' result for the vector multiplet moduli K\"ahler potential in a specific N=2 compactification of F-theory. The well-known correction cubic in \alpha' is absent, but there is a rich structure of corrections at all even orders in \alpha'. Moreover, each of these orders independently displays an SL(2,Z) invariant set of corrections in the string coupling. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated N=1 context, and may have interesting implications for the study of moduli stabilization in string theory.

[ { "created": "Wed, 19 Dec 2012 21:00:00 GMT", "version": "v1" }, { "created": "Wed, 20 Mar 2013 18:49:13 GMT", "version": "v2" } ]

2013-03-21

[ [ "García-Etxebarria", "Iñaki", "" ], [ "Hayashi", "Hirotaka", "" ], [ "Savelli", "Raffaele", "" ], [ "Shiu", "Gary", "" ] ]

We work out the exact in string coupling and perturbatively exact in \alpha' result for the vector multiplet moduli K\"ahler potential in a specific N=2 compactification of F-theory. The well-known correction cubic in \alpha' is absent, but there is a rich structure of corrections at all even orders in \alpha'. Moreover, each of these orders independently displays an SL(2,Z) invariant set of corrections in the string coupling. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated N=1 context, and may have interesting implications for the study of moduli stabilization in string theory.

11.287856

10.008949

10.808267

9.182263

9.801985

9.973915

9.705599

10.252886

9.218476

11.482802

9.525804

9.523927

10.158787

9.388184

9.574621

9.461158

9.407971

9.297696

9.781213

10.22772

9.490616

1911.06339

Jonathan Sorce

Sean Colin-Ellerin, Veronika E. Hubeny, Benjamin E. Niehoff, Jonathan Sorce

Large-$d$ phase transitions in holographic mutual information

35 pages, 12 figures

JHEP 2020, 173 (2020)

10.1007/JHEP04(2020)173

null

hep-th gr-qc

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

In the AdS/CFT correspondence, the entanglement entropy of subregions in the boundary CFT is conjectured to be dual to the area of a bulk extremal surface at leading order in $G_N$ in the holographic limit. Under this dictionary, distantly separated regions in the CFT vacuum state have zero mutual information at leading order, and only attain nonzero mutual information at this order when they lie close enough to develop significant classical and quantum correlations. Previously, the separation at which this phase transition occurs for equal-size ball-shaped regions centered at antipodal points on the boundary was known analytically only in $3$ spacetime dimensions. Inspired by recent explorations of general relativity at large-$d$, we compute the separation at which the phase transition occurs analytically in the limit of infinitely many spacetime dimensions, and find that distant regions cannot develop large correlations without collectively occupying the entire volume of the boundary theory. We interpret this result as illustrating the spatial decoupling of holographic correlations in the large-$d$ limit, and provide intuition for this phenomenon using results from quantum information literature. We also compute the phase transition separation numerically for a range of bulk spacetime dimensions from $4$ to $21$, where analytic results are intractable but numerical results provide insight into the dimension-dependence of holographic correlations. For bulk dimensions above $5$, our exact numerical results are well approximated analytically by working to next-to-leading order in the large-$d$ expansion.

[ { "created": "Thu, 14 Nov 2019 19:00:06 GMT", "version": "v1" }, { "created": "Wed, 1 Apr 2020 16:37:01 GMT", "version": "v2" }, { "created": "Sun, 3 May 2020 17:18:54 GMT", "version": "v3" } ]

2020-05-05

[ [ "Colin-Ellerin", "Sean", "" ], [ "Hubeny", "Veronika E.", "" ], [ "Niehoff", "Benjamin E.", "" ], [ "Sorce", "Jonathan", "" ] ]

In the AdS/CFT correspondence, the entanglement entropy of subregions in the boundary CFT is conjectured to be dual to the area of a bulk extremal surface at leading order in $G_N$ in the holographic limit. Under this dictionary, distantly separated regions in the CFT vacuum state have zero mutual information at leading order, and only attain nonzero mutual information at this order when they lie close enough to develop significant classical and quantum correlations. Previously, the separation at which this phase transition occurs for equal-size ball-shaped regions centered at antipodal points on the boundary was known analytically only in $3$ spacetime dimensions. Inspired by recent explorations of general relativity at large-$d$, we compute the separation at which the phase transition occurs analytically in the limit of infinitely many spacetime dimensions, and find that distant regions cannot develop large correlations without collectively occupying the entire volume of the boundary theory. We interpret this result as illustrating the spatial decoupling of holographic correlations in the large-$d$ limit, and provide intuition for this phenomenon using results from quantum information literature. We also compute the phase transition separation numerically for a range of bulk spacetime dimensions from $4$ to $21$, where analytic results are intractable but numerical results provide insight into the dimension-dependence of holographic correlations. For bulk dimensions above $5$, our exact numerical results are well approximated analytically by working to next-to-leading order in the large-$d$ expansion.

7.900504

7.688415

8.20313

7.576045

7.82151

7.920078

7.498643

7.762692

7.683141

9.785202

7.461376

7.437112

7.756904

7.433072

7.579192

7.850731

7.652188

7.587675

7.642897

8.022866

7.561443

1706.01725

Nicholas Halmagyi

Nick Halmagyi, Dan Israel, Matthieu Sarkis and Eirik Eik Svanes

Heterotic Hyper-Kahler Flux Backgrounds

19 pages

null

10.1007/JHEP08(2017)138

null

hep-th

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

We study Heterotic supergravity on Hyper-Kahler manifolds in the presence of non-trivial warping and three form flux with Abelian bundles in the large charge limit. We find exact, regular solutions for multi-centered Gibbons-Hawking spaces and Atiyah-Hitchin manifolds. In the case of Atiyah-Hitchin, regularity requires that the circle at infinity is of the same order as the instanton number, which is taken to be large. Alternatively there may be a non-trivial density of smeared five branes at the bolt.

[ { "created": "Tue, 6 Jun 2017 12:19:36 GMT", "version": "v1" } ]

2017-09-20

[ [ "Halmagyi", "Nick", "" ], [ "Israel", "Dan", "" ], [ "Sarkis", "Matthieu", "" ], [ "Svanes", "Eirik Eik", "" ] ]

We study Heterotic supergravity on Hyper-Kahler manifolds in the presence of non-trivial warping and three form flux with Abelian bundles in the large charge limit. We find exact, regular solutions for multi-centered Gibbons-Hawking spaces and Atiyah-Hitchin manifolds. In the case of Atiyah-Hitchin, regularity requires that the circle at infinity is of the same order as the instanton number, which is taken to be large. Alternatively there may be a non-trivial density of smeared five branes at the bolt.

10.830985

10.139948

12.687717

10.090381

10.476653

11.591805

10.809806

9.903755

9.59886

15.493368

10.06198

10.650599

11.321488

10.548767

10.24017

10.292669

10.633804

10.175229

10.264725

11.374195

10.277225

hep-th/0205276

J. F. Vazquez-Poritz

J. Gegenberg, S. Vaidya and J.F. Vazquez-Poritz

Thurston Geometries from Eleven Dimensions

Latex, 8 pages, improved presentation in abstract, introduction and section 2, references added

Class.Quant.Grav. 19 (2002) L199-L204

10.1088/0264-9381/19/23/102

null

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

null

In three dimensions, a `master theory' for all Thurston geometries requires imaginary flux. However, these geometries can be obtained from physical three-dimensional theories with various additional scalar fields, which can be interpreted as moduli in various compactifications of a higher-dimensional `master theory'. Three Thurston geometries are of the form N_2 x S^1, where N_2 denotes a two-dimensional Riemannian space of constant curvature. This enables us to twist these spaces, via T-duality, into other Thurston geometries as a U(1) bundle over N_2. In this way, Hopf T-duality relates all but one of the geometries in the higher-dimensional M-theoretic framework. The exception is the `Sol geometry,' which results from the dimensional reduction of the decoupling limit of the D3-brane in a background B-field.

[ { "created": "Mon, 27 May 2002 10:10:25 GMT", "version": "v1" }, { "created": "Fri, 7 Jun 2002 08:55:42 GMT", "version": "v2" }, { "created": "Mon, 2 Sep 2002 09:56:58 GMT", "version": "v3" } ]

2009-11-07

[ [ "Gegenberg", "J.", "" ], [ "Vaidya", "S.", "" ], [ "Vazquez-Poritz", "J. F.", "" ] ]

In three dimensions, a `master theory' for all Thurston geometries requires imaginary flux. However, these geometries can be obtained from physical three-dimensional theories with various additional scalar fields, which can be interpreted as moduli in various compactifications of a higher-dimensional `master theory'. Three Thurston geometries are of the form N_2 x S^1, where N_2 denotes a two-dimensional Riemannian space of constant curvature. This enables us to twist these spaces, via T-duality, into other Thurston geometries as a U(1) bundle over N_2. In this way, Hopf T-duality relates all but one of the geometries in the higher-dimensional M-theoretic framework. The exception is the `Sol geometry,' which results from the dimensional reduction of the decoupling limit of the D3-brane in a background B-field.

10.923635

10.980438

11.544325

10.207706

10.398347

10.470949

11.057916

10.423388

10.023199

12.012498

9.738351

10.201355

10.745509

10.850773

10.176537

10.330446

10.233809

10.375805

10.743234

11.16963

10.052245

1902.06571

Hiroyuki Kitamoto

Hiroyuki Kitamoto, Yoshihisa Kitazawa

Entropy Generation at the Horizon Diffuses Cosmological Constant in 2D de Sitter Space

37 pages, matches published version

Phys. Rev. D 99, 085015 (2019)

10.1103/PhysRevD.99.085015

KEK-TH-2102, NCTS-TH/1902

hep-th gr-qc

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

We investigate a solution of the exactly renormalized Liouville action to foresee the fate of the two-dimensional de Sitter space. We work in the semiclassical region with a large matter central charge $c$. Instead of de Sitter expansion, it performs a slow-roll inflation with the parameters $\epsilon=(1/2)\eta =6/c$. An inflaton field is induced in the effective theory to describe quantum effects of the Liouville theory. The geometric entropy increases logarithmically with the Hubble radius. We propose that de Sitter entropy is carried by superhorizon modes of the metric. It can be directly estimated from the partition function as $S=\log Z$ in Liouville gravity. We formulate a gravitational Fokker-Planck equation to elucidate the Brownian process at the horizon: the superhorizon modes are constantly jolted by newcomers. We show that such a built-in entropy-generating process diffuses the cosmological constant. We evaluate von Neumann entropy associated with the distribution function of superhorizon modes. It always increases under the Fokker-Planck equation in a consistent way with semiclassical estimates. The maximum entropy principle operates in quantum gravity. An analogous entropy production mechanism at the horizon might have increased the Hubble radius much beyond the microscopic physics scale in the Universe.

[ { "created": "Mon, 18 Feb 2019 13:55:36 GMT", "version": "v1" }, { "created": "Wed, 1 May 2019 02:03:24 GMT", "version": "v2" } ]

2019-05-02

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

We investigate a solution of the exactly renormalized Liouville action to foresee the fate of the two-dimensional de Sitter space. We work in the semiclassical region with a large matter central charge $c$. Instead of de Sitter expansion, it performs a slow-roll inflation with the parameters $\epsilon=(1/2)\eta =6/c$. An inflaton field is induced in the effective theory to describe quantum effects of the Liouville theory. The geometric entropy increases logarithmically with the Hubble radius. We propose that de Sitter entropy is carried by superhorizon modes of the metric. It can be directly estimated from the partition function as $S=\log Z$ in Liouville gravity. We formulate a gravitational Fokker-Planck equation to elucidate the Brownian process at the horizon: the superhorizon modes are constantly jolted by newcomers. We show that such a built-in entropy-generating process diffuses the cosmological constant. We evaluate von Neumann entropy associated with the distribution function of superhorizon modes. It always increases under the Fokker-Planck equation in a consistent way with semiclassical estimates. The maximum entropy principle operates in quantum gravity. An analogous entropy production mechanism at the horizon might have increased the Hubble radius much beyond the microscopic physics scale in the Universe.

16.006094

16.236053

15.943258

14.719681

15.531802

16.27281

15.183978

15.815132

14.655017

18.670393

15.291354

15.542593

15.574033

15.984532

15.6936

15.972493

16.306278

15.839079

16.073881

16.343008

15.588837

hep-th/0210293

Dmitri Antonov

D. Antonov (INFN, Pisa & Pisa U.)

Higgs- and quark-inspired modifications of the finite-temperature properties of the Polyakov model

4 pages, LaTeX2e, no figures, uses espcrc2.sty, submitted to Nucl. Phys. B (Proc. Suppl.)

Nucl.Phys.Proc.Suppl.121:301-304,2003

10.1016/S0920-5632(03)01866-8

IFUP-TH 2002/41

hep-th

null

(2+1)-dimensional Georgi-Glashow model, else called the Polyakov model, is explored at nonzero temperatures and in the regime when the Higgs boson is not infinitely heavy. The finiteness of the Higgs-boson mass leads to the appearance of the upper bound on the parameter of the weak-coupling approximation, necessary to maintain the stochasticity of the Higgs vacuum. The modification of the finite-temperature behavior of the model emerging due to the introduction of massless quarks is also discussed.

[ { "created": "Wed, 30 Oct 2002 17:16:55 GMT", "version": "v1" }, { "created": "Thu, 27 Mar 2003 15:51:05 GMT", "version": "v2" } ]

2010-12-09

[ [ "Antonov", "D.", "", "INFN, Pisa & Pisa U." ] ]

(2+1)-dimensional Georgi-Glashow model, else called the Polyakov model, is explored at nonzero temperatures and in the regime when the Higgs boson is not infinitely heavy. The finiteness of the Higgs-boson mass leads to the appearance of the upper bound on the parameter of the weak-coupling approximation, necessary to maintain the stochasticity of the Higgs vacuum. The modification of the finite-temperature behavior of the model emerging due to the introduction of massless quarks is also discussed.

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