LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1411.1969

Micha{\l} Spali\'nski

Jakub Jankowski, Grzegorz Plewa, Michal Spalinski

Statistics of thermalization in Bjorken Flow

Various small improvements, including additional references. Version to appear in JHEP

null

10.1007/JHEP12(2014)105

null

hep-th hep-ph nucl-th

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

The apparent early thermalization of quark-gluon plasma produced at RHIC and LHC has motivated a number of studies of strongly coupled ${\mathcal N}=4$ supersymmetric Yang-Mills theory using the AdS/CFT correspondence. Here we present the results of numerical simulations of Bjorken flow aimed at establishing typical features of the dynamics. This is done by evolving a large number of far from equilibrium initial states well into the hydrodynamic regime. The results strongly suggest that early thermalization is generic in this theory, taking place at proper times around $0.6$ in units of inverse local temperature. We also find that the scale which determines the rate of hydrodynamic cooling is linearly correlated with the entropy of initial states defined by the area of the apparent horizon in the dual geometry. Our results also suggest that entropy production during the hydrodynamic stage of evolution is not negligible despite the low value of $\eta/s$.

[ { "created": "Fri, 7 Nov 2014 16:45:48 GMT", "version": "v1" }, { "created": "Mon, 15 Dec 2014 19:54:29 GMT", "version": "v2" } ]

2015-06-23

[ [ "Jankowski", "Jakub", "" ], [ "Plewa", "Grzegorz", "" ], [ "Spalinski", "Michal", "" ] ]

The apparent early thermalization of quark-gluon plasma produced at RHIC and LHC has motivated a number of studies of strongly coupled ${\mathcal N}=4$ supersymmetric Yang-Mills theory using the AdS/CFT correspondence. Here we present the results of numerical simulations of Bjorken flow aimed at establishing typical features of the dynamics. This is done by evolving a large number of far from equilibrium initial states well into the hydrodynamic regime. The results strongly suggest that early thermalization is generic in this theory, taking place at proper times around $0.6$ in units of inverse local temperature. We also find that the scale which determines the rate of hydrodynamic cooling is linearly correlated with the entropy of initial states defined by the area of the apparent horizon in the dual geometry. Our results also suggest that entropy production during the hydrodynamic stage of evolution is not negligible despite the low value of $\eta/s$.

7.497492

7.307099

7.535632

6.733433

7.024706

7.445576

6.984741

7.360421

7.079492

8.255687

6.529284

7.456059

7.338934

6.983889

6.96836

7.205545

7.314121

7.376929

7.270994

7.127976

6.957429

1612.00033

Giovanni Cabass

Giovanni Cabass, Enrico Pajer, Fabian Schmidt

How Gaussian can our Universe be?

26 + 18 pages, 2 figures. References added and minor typos corrected. Matches published version

null

10.1088/1475-7516/2017/01/003

null

hep-th astro-ph.CO gr-qc

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

Gravity is a non-linear theory, and hence, barring cancellations, the initial super-horizon perturbations produced by inflation must contain some minimum amount of mode coupling, or primordial non-Gaussianity. In single-field slow-roll models, where this lower bound is saturated, non-Gaussianity is controlled by two observables: the tensor-to-scalar ratio, which is uncertain by more than fifty orders of magnitude; and the scalar spectral index, or tilt, which is relatively well measured. It is well known that to leading and next-to-leading order in derivatives, the contributions proportional to the tilt disappear from any local observable, and suspicion has been raised that this might happen to all orders, allowing for an arbitrarily low amount of primordial non-Gaussianity. Employing Conformal Fermi Coordinates, we show explicitly that this is not the case. Instead, a contribution of order the tilt appears in local observables. In summary, the floor of physical primordial non-Gaussianity in our Universe has a squeezed-limit scaling of $k_\ell^2/k_s^2$, similar to equilateral and orthogonal shapes, and a dimensionless amplitude of order $0.1\times(n_\mathrm{s}-1)$.

[ { "created": "Wed, 30 Nov 2016 21:19:09 GMT", "version": "v1" }, { "created": "Thu, 29 Dec 2016 12:00:59 GMT", "version": "v2" } ]

2017-01-11

[ [ "Cabass", "Giovanni", "" ], [ "Pajer", "Enrico", "" ], [ "Schmidt", "Fabian", "" ] ]

Gravity is a non-linear theory, and hence, barring cancellations, the initial super-horizon perturbations produced by inflation must contain some minimum amount of mode coupling, or primordial non-Gaussianity. In single-field slow-roll models, where this lower bound is saturated, non-Gaussianity is controlled by two observables: the tensor-to-scalar ratio, which is uncertain by more than fifty orders of magnitude; and the scalar spectral index, or tilt, which is relatively well measured. It is well known that to leading and next-to-leading order in derivatives, the contributions proportional to the tilt disappear from any local observable, and suspicion has been raised that this might happen to all orders, allowing for an arbitrarily low amount of primordial non-Gaussianity. Employing Conformal Fermi Coordinates, we show explicitly that this is not the case. Instead, a contribution of order the tilt appears in local observables. In summary, the floor of physical primordial non-Gaussianity in our Universe has a squeezed-limit scaling of $k_\ell^2/k_s^2$, similar to equilateral and orthogonal shapes, and a dimensionless amplitude of order $0.1\times(n_\mathrm{s}-1)$.

6.79722

9.693886

9.639984

8.271225

8.914801

8.707084

8.901083

8.640141

8.412827

9.526307

8.301948

7.469558

7.28769

7.425348

7.531921

7.182031

7.635332

7.404598

7.541346

7.416427

7.452357

1008.0571

Akira Kokado

Akira Kokado, Gaku Konisi and Takesi Saito

Closed Superstrings in a Uniform Magnetic Field and Regularization Criterion

13 pages, No figures

Phys.Rev.D82:107901,2010

10.1103/PhysRevD.82.107901

null

hep-th

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

We summarize exact solutions of closed superstrings in a constant magnetic field, from a view point of the regularization criterion. Some models will be excluded according to this criterion. The spectrum-generating algebra is also constructed in these interacting models.

[ { "created": "Tue, 3 Aug 2010 15:23:35 GMT", "version": "v1" }, { "created": "Thu, 5 Aug 2010 07:20:01 GMT", "version": "v2" } ]

2010-12-13

[ [ "Kokado", "Akira", "" ], [ "Konisi", "Gaku", "" ], [ "Saito", "Takesi", "" ] ]

We summarize exact solutions of closed superstrings in a constant magnetic field, from a view point of the regularization criterion. Some models will be excluded according to this criterion. The spectrum-generating algebra is also constructed in these interacting models.

37.649181

28.656118

30.313812

26.676878

29.209467

30.853842

26.851177

29.681787

30.145443

35.92963

28.056589

28.038849

33.641499

29.32872

28.627274

28.797117

30.435316

31.013111

30.719831

33.942326

27.982143

hep-th/9601023

Andrei Johansen

D. Anselmi, M. Grisaru, A. Johansen

A Critical Behaviour of Anomalous Currents, Electric-Magnetic Universality and CFT_4

harvmac tex, 28 pages, 3 figures. Version to be published in Nucl. Phys. B

Nucl.Phys. B491 (1997) 221-248

10.1016/S0550-3213(97)00108-9

HUTP--95/A048, BRX-TH-388

hep-th

null

We discuss several aspects of superconformal field theories in four dimensions (CFT_4), in the context of electric-magnetic duality. We analyse the behaviour of anomalous currents under RG flow to a conformal fixed point in N=1, D=4 supersymmetric gauge theories. We prove that the anomalous dimension of the Konishi current is related to the slope of the beta function at the critical point. We extend the duality map to the (nonchiral) Konishi current. As a byproduct we compute the slope of the beta function in the strong coupling regime. We note that the OPE of $T_{\mu\nu}$ with itself does not close, but mixes with a special additional operator $\Sigma$ which in general is the Konishi current. We discuss the implications of this fact in generic interacting conformal theories. In particular, a SCFT_4 seems to be naturally equipped with a privileged off-critical deformation $\Sigma$ and this allows us to argue that electric-magnetic duality can be extended to a neighborhood of the critical point. We also stress that in SCFT_4 there are two central charges, c and c', associated with the stress tensor and $\Sigma$, respectively; c and c' allow us to count both the vector multiplet and the matter multiplet effective degrees of freedom of the theory.

[ { "created": "Sun, 7 Jan 1996 19:13:03 GMT", "version": "v1" }, { "created": "Sun, 9 Jun 1996 16:51:08 GMT", "version": "v2" }, { "created": "Tue, 28 Jan 1997 16:37:35 GMT", "version": "v3" } ]

2009-10-30

[ [ "Anselmi", "D.", "" ], [ "Grisaru", "M.", "" ], [ "Johansen", "A.", "" ] ]

We discuss several aspects of superconformal field theories in four dimensions (CFT_4), in the context of electric-magnetic duality. We analyse the behaviour of anomalous currents under RG flow to a conformal fixed point in N=1, D=4 supersymmetric gauge theories. We prove that the anomalous dimension of the Konishi current is related to the slope of the beta function at the critical point. We extend the duality map to the (nonchiral) Konishi current. As a byproduct we compute the slope of the beta function in the strong coupling regime. We note that the OPE of $T_{\mu\nu}$ with itself does not close, but mixes with a special additional operator $\Sigma$ which in general is the Konishi current. We discuss the implications of this fact in generic interacting conformal theories. In particular, a SCFT_4 seems to be naturally equipped with a privileged off-critical deformation $\Sigma$ and this allows us to argue that electric-magnetic duality can be extended to a neighborhood of the critical point. We also stress that in SCFT_4 there are two central charges, c and c', associated with the stress tensor and $\Sigma$, respectively; c and c' allow us to count both the vector multiplet and the matter multiplet effective degrees of freedom of the theory.

7.765676

7.736945

8.155289

7.717818

7.86378

8.58336

8.204816

8.50136

7.790485

9.018456

7.585313

7.799328

7.908232

7.584745

7.41378

7.439226

7.584335

7.692056

7.536309

7.762316

7.410582

hep-th/9903002

D'Hoker Eric

E. D'Hoker, D.H. Phong

Lax Pairs and Spectral Curves for Calogero-Moser and Spin Calogero-Moser Systems

18 pages, no figures, Plain TeX; Contribution to "Regular and Chaotic Dynamics" dedicated to J. Moser; several references added

null

UCLA/99/TEP/3, Columbia/99/Math

hep-th nlin.SI solv-int

null

We summarize recent results on the construction of Lax pairs with spectral parameter for the twisted and untwisted elliptic Calogero-Moser systems associated with arbitrary simple Lie algebras, their scaling limits to Toda systems, and their role in Seiberg-Witten theory. We extend part of this work by presenting a new parametrization for the spectral curves for elliptic spin Calogero-Moser systems associated with SL(N).

[ { "created": "Sat, 27 Feb 1999 01:33:35 GMT", "version": "v1" }, { "created": "Wed, 10 Mar 1999 21:26:50 GMT", "version": "v2" } ]

2007-05-23

[ [ "D'Hoker", "E.", "" ], [ "Phong", "D. H.", "" ] ]

We summarize recent results on the construction of Lax pairs with spectral parameter for the twisted and untwisted elliptic Calogero-Moser systems associated with arbitrary simple Lie algebras, their scaling limits to Toda systems, and their role in Seiberg-Witten theory. We extend part of this work by presenting a new parametrization for the spectral curves for elliptic spin Calogero-Moser systems associated with SL(N).

8.589984

6.276713

10.461679

6.294199

6.515162

6.326414

6.309158

6.332401

6.083443

10.12679

6.39371

7.001945

8.431031

7.139517

7.18524

6.989955

6.980181

6.887136

7.161865

8.573538

7.12408

2406.13364

Masanori Hanada

Vaibhav Gautam, Masanori Hanada, and Antal Jevicki

Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom

39 pages

null

hep-th

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

For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the bulk geometry can be constructed. We pay attention to the subtle difference between the notions of wave packets that describe low-energy excitations: QFT wave packet associated with the spatial dimensions of QFT, matrix wave packet associated with the emergent dimensions from matrix degrees of freedom, and bulk wave packet which is a combination of QFT and matrix wave packets. In QFT, there is an intriguing interplay between QFT wave packet and matrix wave packet that connects quantum entanglement and emergent geometry. We propose that the bulk wave packet is the physical object in QFT that describes the emergent geometry from entanglement. This proposal sets a unified view on two seemingly different mechanisms of holographic emergent geometry: one based on matrix eigenvalues and the other based on quantum entanglement. Further intuition comes from the similarity to a traversable wormhole discussed as the dual description of the coupled SYK model by Maldacena and Qi: the bulk can be seen as an eternal traversable wormhole connecting boundary regions.

[ { "created": "Wed, 19 Jun 2024 09:09:11 GMT", "version": "v1" } ]

2024-06-21

[ [ "Gautam", "Vaibhav", "" ], [ "Hanada", "Masanori", "" ], [ "Jevicki", "Antal", "" ] ]

For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the bulk geometry can be constructed. We pay attention to the subtle difference between the notions of wave packets that describe low-energy excitations: QFT wave packet associated with the spatial dimensions of QFT, matrix wave packet associated with the emergent dimensions from matrix degrees of freedom, and bulk wave packet which is a combination of QFT and matrix wave packets. In QFT, there is an intriguing interplay between QFT wave packet and matrix wave packet that connects quantum entanglement and emergent geometry. We propose that the bulk wave packet is the physical object in QFT that describes the emergent geometry from entanglement. This proposal sets a unified view on two seemingly different mechanisms of holographic emergent geometry: one based on matrix eigenvalues and the other based on quantum entanglement. Further intuition comes from the similarity to a traversable wormhole discussed as the dual description of the coupled SYK model by Maldacena and Qi: the bulk can be seen as an eternal traversable wormhole connecting boundary regions.

10.157279

10.50454

11.444681

10.338901

10.8004

10.565687

10.358829

10.042285

10.420465

13.013333

9.9146

9.971623

9.982706

9.737935

9.97749

9.964841

10.192357

9.889823

10.192977

10.538491

9.813648

2210.00011

Jun Tsujimura

Jun Tsujimura and Yasusada Nambu

Entanglement Renyi entropy of two disjoint intervals for large $c$ Liouville field theory

14 pages, 3 figures

null

10.3390/e24121758

null

hep-th

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

Entanglement entropy (EE) is a quantitative measure of the effective degrees of freedom and the correlation between the sub-systems of a physical system. Using the replica trick, we can obtain the EE by evaluating the entanglement Renyi entropy (ERE). The ERE is a $q$-analogue of the EE and expressed by the $q$ replicated partition function. In the semi-classical approximation, it is apparently easy to calculate the EE because the classical action represents the partition function by the saddle point approximation and we do not need to perform the path integral for the evaluation of the partition function. In previous studies, it has been assumed that only the minimal-valued saddle point contributes to the EE. In this paper, we propose that all the saddle points contribute equally to the EE by dealing carefully with the semi-classical limit and then the $q \to 1$ limit. For example, we numerically evaluate the ERE of two disjoint intervals for the large $c$ Liouville field theory with $q \sim 1$. We exploit the BPZ equation with the four twist operators, whose solution is given by the Heun function. We determine the ERE by tuning the behavior of the Heun function such that it becomes consistent with the geometry of the replica manifold. We find the same two saddle points as previous studies for $q \sim 1$ in the above system. Then, we provide the ERE for the large but finite $c$ and the $q \sim 1$ in case that all the saddle points contribute equally to the ERE. Based on this work, it shall be of interest to reconsider EE in other semi-classical physical systems with multiple saddle points.

[ { "created": "Fri, 30 Sep 2022 18:00:00 GMT", "version": "v1" } ]

2022-12-14

[ [ "Tsujimura", "Jun", "" ], [ "Nambu", "Yasusada", "" ] ]

Entanglement entropy (EE) is a quantitative measure of the effective degrees of freedom and the correlation between the sub-systems of a physical system. Using the replica trick, we can obtain the EE by evaluating the entanglement Renyi entropy (ERE). The ERE is a $q$-analogue of the EE and expressed by the $q$ replicated partition function. In the semi-classical approximation, it is apparently easy to calculate the EE because the classical action represents the partition function by the saddle point approximation and we do not need to perform the path integral for the evaluation of the partition function. In previous studies, it has been assumed that only the minimal-valued saddle point contributes to the EE. In this paper, we propose that all the saddle points contribute equally to the EE by dealing carefully with the semi-classical limit and then the $q \to 1$ limit. For example, we numerically evaluate the ERE of two disjoint intervals for the large $c$ Liouville field theory with $q \sim 1$. We exploit the BPZ equation with the four twist operators, whose solution is given by the Heun function. We determine the ERE by tuning the behavior of the Heun function such that it becomes consistent with the geometry of the replica manifold. We find the same two saddle points as previous studies for $q \sim 1$ in the above system. Then, we provide the ERE for the large but finite $c$ and the $q \sim 1$ in case that all the saddle points contribute equally to the ERE. Based on this work, it shall be of interest to reconsider EE in other semi-classical physical systems with multiple saddle points.

7.201542

7.552906

7.714987

6.986582

7.684535

7.460243

7.606614

7.421557

7.210207

8.380559

6.855984

7.105233

7.487826

6.976321

7.044638

6.991267

7.186697

7.141639

6.951005

7.315449

7.099973

1212.2921

Azadeh Maleknejad

A. Maleknejad, M. M. Sheikh-Jabbari, J. Soda

Gauge Fields and Inflation

This is a review article prepared for Physics Reports. All comments are welcomed. 161 pages, 46 figures. v3: figures and references added, minor improvements and clarifications

null

10.1016/j.physrep.2013.03.003

IPM/P-2012/049; KUNS-2430

hep-th astro-ph.CO hep-ph

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

The isotropy and homogeneity of the cosmic microwave background (CMB) favors "scalar driven" early Universe inflationary models. Non-scalar fields, and in particular gauge fields, are on the other hand commonplace in all high energy particle physics models proposed to be at work at the upper bound on energy scale of inflation set by the current CMB observations. In this review we consider the role and consequences, theoretical and observational, that gauge fields can have during inflationary era. Gauge fields may be turned on in the background during inflation, or may become relevant at the level of cosmic perturbations. There have been two main class of models with gauge fields in the background, models which show violation of cosmic no-hair theorem and those which lead to isotropic FLRW cosmology, respecting the cosmic no-hair theorem. Models in which gauge fields are only turned on at the cosmic perturbation level, may source primordial magnetic fields. We also review specific observational features of these models on the CMB and/or the primordial cosmic magnetic fields. Our discussions will be mainly focused on the inflation period, with only a brief discussion on the post inflationary (p)reheating era.

[ { "created": "Wed, 12 Dec 2012 18:35:45 GMT", "version": "v1" }, { "created": "Tue, 15 Jan 2013 11:27:49 GMT", "version": "v2" }, { "created": "Sat, 2 Mar 2013 12:28:57 GMT", "version": "v3" } ]

2015-06-12

[ [ "Maleknejad", "A.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ], [ "Soda", "J.", "" ] ]

The isotropy and homogeneity of the cosmic microwave background (CMB) favors "scalar driven" early Universe inflationary models. Non-scalar fields, and in particular gauge fields, are on the other hand commonplace in all high energy particle physics models proposed to be at work at the upper bound on energy scale of inflation set by the current CMB observations. In this review we consider the role and consequences, theoretical and observational, that gauge fields can have during inflationary era. Gauge fields may be turned on in the background during inflation, or may become relevant at the level of cosmic perturbations. There have been two main class of models with gauge fields in the background, models which show violation of cosmic no-hair theorem and those which lead to isotropic FLRW cosmology, respecting the cosmic no-hair theorem. Models in which gauge fields are only turned on at the cosmic perturbation level, may source primordial magnetic fields. We also review specific observational features of these models on the CMB and/or the primordial cosmic magnetic fields. Our discussions will be mainly focused on the inflation period, with only a brief discussion on the post inflationary (p)reheating era.

8.272018

10.169297

9.656137

8.594832

9.115758

10.159969

9.656233

9.086454

8.964979

9.30518

8.329168

8.522505

8.713637

8.575376

8.747014

8.433867

8.806922

8.76772

8.461907

8.580529

8.353692

2405.11970

Wei-Zhong Zhao

Fan Liu, Rui Wang, Jie Yang and Wei-Zhong Zhao

Generalized $\beta$ and $(q,t)$-deformed partition functions with $W$-representations and Nekrasov partition functions

29 pages. Revised version accepted for publication in Eur. Phys. J. C

Eur. Phys. J. C 84 (2024) 756

null

hep-th math-ph math.MP

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

We construct the generalized $\beta$ and $(q,t)$-deformed partition functions through $W$ representations, where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by $N$-tuple of Young diagrams. We find that there are the profound interrelations between our deformed partition functions and the $4d$ and $5d$ Nekrasov partition functions. Since the corresponding Nekrasov partition functions can be given by vertex operators, the remarkable connection between our $\beta$ and $(q,t)$-deformed $W$-operators and vertex operators is revealed in this paper. In addition, we investigate the higher Hamiltonians for the generalized Jack and Macdonald polynomials.

[ { "created": "Mon, 20 May 2024 11:56:07 GMT", "version": "v1" }, { "created": "Wed, 5 Jun 2024 09:49:29 GMT", "version": "v2" }, { "created": "Wed, 31 Jul 2024 01:40:11 GMT", "version": "v3" } ]

2024-08-01

[ [ "Liu", "Fan", "" ], [ "Wang", "Rui", "" ], [ "Yang", "Jie", "" ], [ "Zhao", "Wei-Zhong", "" ] ]

We construct the generalized $\beta$ and $(q,t)$-deformed partition functions through $W$ representations, where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by $N$-tuple of Young diagrams. We find that there are the profound interrelations between our deformed partition functions and the $4d$ and $5d$ Nekrasov partition functions. Since the corresponding Nekrasov partition functions can be given by vertex operators, the remarkable connection between our $\beta$ and $(q,t)$-deformed $W$-operators and vertex operators is revealed in this paper. In addition, we investigate the higher Hamiltonians for the generalized Jack and Macdonald polynomials.

8.707874

8.482666

9.932611

8.472576

8.489414

7.709623

8.201486

7.875771

8.075533

10.015613

8.395782

8.256952

8.70943

8.284869

8.058519

8.101501

8.199053

8.292336

8.583241

8.918334

8.080194

hep-th/9802002

Bogus{\l}aw Broda

Boguslaw Broda and Malgorzata Bakalarska (Department of Theoretical Physics, University of Lodz)

Topology of 3-dimensional Seiberg-Witten theory

5 pages, uses Acta Phys.Polon.B sty (included), presented at: ``Gauge Theories of Gravitation'', Jadwisin, Poland, 4-10 September 1997

Acta Phys.Polon. B29 (1998) 995-999

null

hep-th

null

A dual description of 3-dimensional topological Seiberg-Witten theory in terms of the Alexander invariant on manifolds obtained via surgery on a knot is proposed. The description directly follows from a low-energy analysis of the corresponding SUSY theory, in full analogy to the 4-dimensional case.

[ { "created": "Sat, 31 Jan 1998 08:59:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Broda", "Boguslaw", "", "Department of Theoretical\n Physics, University of Lodz" ], [ "Bakalarska", "Malgorzata", "", "Department of Theoretical\n Physics, University of Lodz" ] ]

A dual description of 3-dimensional topological Seiberg-Witten theory in terms of the Alexander invariant on manifolds obtained via surgery on a knot is proposed. The description directly follows from a low-energy analysis of the corresponding SUSY theory, in full analogy to the 4-dimensional case.

13.850336

12.370797

12.733674

10.52504

12.287883

12.649865

10.406731

11.226024

10.405248

12.790835

11.956394

11.009974

12.097806

11.246535

11.554998

11.474795

11.82861

11.437032

11.298885

11.578375

11.369209

hep-th/9207106

Eduardo Marino

E.C.Marino

The New Charged Massless States of Quantum Electrodynamics

10 pages, Princeton report PUPT-1331

null

hep-th

null

Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge therefore acts physically as an electric charge. The topologically nontrivial, electrically charged sector contains massless quantum states orthogonal to the vacuum in spite of the absence of classical topological solutions. These states are created by a gauge invariant local operator and can be interpreted as coherent states of photons. The obtainment of a quantity like charge, which is usually associated with matter, as a property of some peculiar states of the gauge field points towards the possibility of describing both the matter and the fields which mediate its interactions within the same unified framework.

[ { "created": "Thu, 30 Jul 1992 17:33:38 GMT", "version": "v1" } ]

2007-05-23

[ [ "Marino", "E. C.", "" ] ]

Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge therefore acts physically as an electric charge. The topologically nontrivial, electrically charged sector contains massless quantum states orthogonal to the vacuum in spite of the absence of classical topological solutions. These states are created by a gauge invariant local operator and can be interpreted as coherent states of photons. The obtainment of a quantity like charge, which is usually associated with matter, as a property of some peculiar states of the gauge field points towards the possibility of describing both the matter and the fields which mediate its interactions within the same unified framework.

10.644047

9.500641

11.364368

9.111361

9.955175

10.365068

10.361173

9.288253

9.588121

11.096869

10.071242

10.159788

9.956186

10.064733

9.922706

9.578986

10.159916

10.123016

9.985867

10.249457

9.788732

hep-th/9902069

null

M. Sakamoto(Kobe Univ.), M. Tachibana(Kobe Univ.), K.Takenaga (I.N.F.N, Pisa)

Spontaneously Broken Translational Invariance of Compactified Space

9 pages, No figure

Phys.Lett. B457 (1999) 33-38

10.1016/S0370-2693(99)00555-9

KOBE-TH-99-01, IFUP-TH 6/99

hep-th

null

We propose a mechanism to break the translational invariance of compactified space spontaneously. As a simple model, we study a real $\phi^4$ model compactified on $M^{D-1}\otimes S^1$ in detail, where we impose a nontrivial boundary condition on $\phi$ for the $S^1$-direction. It is shown that the translational invariance for the $S^1$-direction is spontaneously broken when the radius $R$ of $S^1$ becomes larger than a critical radius $R^*$ and also that the model behaves like a $\phi^4$ model on a single kink background for $R \to \infty$. It is pointed out that spontaneous breakdown of translational invariance is accompanied by that of some global symmetries, in general, in our mechanism.

[ { "created": "Wed, 10 Feb 1999 11:09:35 GMT", "version": "v1" } ]

2009-10-31

[ [ "Sakamoto", "M.", "", "Kobe Univ." ], [ "Tachibana", "M.", "", "Kobe Univ." ], [ "Takenaga", "K.", "", "I.N.F.N, Pisa" ] ]

We propose a mechanism to break the translational invariance of compactified space spontaneously. As a simple model, we study a real $\phi^4$ model compactified on $M^{D-1}\otimes S^1$ in detail, where we impose a nontrivial boundary condition on $\phi$ for the $S^1$-direction. It is shown that the translational invariance for the $S^1$-direction is spontaneously broken when the radius $R$ of $S^1$ becomes larger than a critical radius $R^*$ and also that the model behaves like a $\phi^4$ model on a single kink background for $R \to \infty$. It is pointed out that spontaneous breakdown of translational invariance is accompanied by that of some global symmetries, in general, in our mechanism.

5.129488

4.762625

5.058496

4.683475

4.528081

4.627317

4.598585

4.738444

4.391109

4.839903

4.688592

4.810781

4.898401

4.841343

4.799239

4.676716

4.748381

4.849219

4.787293

5.145726

4.856471

hep-th/9901143

Karl Landsteiner

String Corrections to the Hawking-Page Phase Transition

7 pages, harvmac, some typos corrected

Mod.Phys.Lett. A14 (1999) 379-386

10.1142/S0217732399000432

TUW-99-01

hep-th

null

We compute the O(alpha'^3) corrections to the AdS_5 Black hole metric in type IIB string theory. Contrary to previous work in this direction we keep the Black Hole radius finite. Thus the topology of the boundary is S^3 x S^1. We find the corrections to the free energy and the critical temperature of the phase transition.

[ { "created": "Wed, 27 Jan 1999 16:18:17 GMT", "version": "v1" }, { "created": "Thu, 28 Jan 1999 15:59:47 GMT", "version": "v2" } ]

2009-10-31

[ [ "Landsteiner", "Karl", "" ] ]

We compute the O(alpha'^3) corrections to the AdS_5 Black hole metric in type IIB string theory. Contrary to previous work in this direction we keep the Black Hole radius finite. Thus the topology of the boundary is S^3 x S^1. We find the corrections to the free energy and the critical temperature of the phase transition.

11.072729

8.267138

10.603295

9.235545

9.583281

8.516677

8.564795

7.670137

8.122652

11.095379

7.644831

8.148811

10.510192

9.169052

8.610782

8.570137

9.07876

8.618152

9.339578

10.963155

8.478174

2202.05726

Mikhail Zubkov Dr

J. Miller, G.E.Volovik, M.A.Zubkov

Fundamental scalar field with zero dimension from anomaly cancelations

Latex, 12 pages, 3 figures

Phys. Rev. D 106 (2022), 015021

10.1103/PhysRevD.106.015021

null

hep-th

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

In this article a novel mechanism for dynamical electroweak symmetry breaking and the ensuing appearance of fermion mass terms in the action is proposed. The action contains massless fermions of the SM coupled to gravity through a new type of non-minimal coupling to the vielbein field. The corresponding coupling constants in our approach become zero-dimension scalar fields. Such scalar fields provide the cancellation of the Weyl anomaly \cite{Boyle:2021jaz}.

[ { "created": "Fri, 11 Feb 2022 16:02:54 GMT", "version": "v1" }, { "created": "Sat, 25 Jun 2022 22:03:44 GMT", "version": "v2" } ]

2022-09-14

[ [ "Miller", "J.", "" ], [ "Volovik", "G. E.", "" ], [ "Zubkov", "M. A.", "" ] ]

In this article a novel mechanism for dynamical electroweak symmetry breaking and the ensuing appearance of fermion mass terms in the action is proposed. The action contains massless fermions of the SM coupled to gravity through a new type of non-minimal coupling to the vielbein field. The corresponding coupling constants in our approach become zero-dimension scalar fields. Such scalar fields provide the cancellation of the Weyl anomaly \cite{Boyle:2021jaz}.

18.938347

18.247393

15.920589

15.429914

15.843452

14.902056

14.239417

14.94579

13.851194

17.484455

14.362569

14.727484

14.982609

14.690086

15.246384

14.5586

15.305192

14.448194

14.643687

14.881379

14.949393

1909.10789

Boris Merzlikin

I.L. Buchbinder, A.S. Budekhina, B.S. Merzlikin

On the component structure of one-loop effective actions in $6D$, ${\cal N}=(1,0)$ and ${\cal N}=(1,1)$ supersymmetric gauge theories

1+12 pages

null

10.1142/S0217732320500601

null

hep-th

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

We study the six-dimensional ${\cal N}=(1,0)$ and ${\cal N}=(1,1)$ supersymmetric Yang-Mills (SYM) theories in the component formulation. The one-loop divergencies of effective action are calculated. The leading one-loop low-energy contributions to bosonic sector of effective action are found. It is explicitly demonstrated that the contribution to effective potential for the constant background scalar fields are absent in the ${\cal N}=(1,1)$ SYM theory.

[ { "created": "Tue, 24 Sep 2019 10:16:49 GMT", "version": "v1" } ]

2020-04-22

[ [ "Buchbinder", "I. L.", "" ], [ "Budekhina", "A. S.", "" ], [ "Merzlikin", "B. S.", "" ] ]

We study the six-dimensional ${\cal N}=(1,0)$ and ${\cal N}=(1,1)$ supersymmetric Yang-Mills (SYM) theories in the component formulation. The one-loop divergencies of effective action are calculated. The leading one-loop low-energy contributions to bosonic sector of effective action are found. It is explicitly demonstrated that the contribution to effective potential for the constant background scalar fields are absent in the ${\cal N}=(1,1)$ SYM theory.

6.130619

4.727469

5.667762

4.836431

5.13772

4.926025

5.169776

5.072435

5.170415

5.868721

4.838484

5.410954

5.535882

5.39444

5.445311

5.312381

5.288817

5.358919

5.553339

5.691884

5.492239

1704.05493

Christopher Pope

H. Lu, A. Perkins, C.N. Pope, K.S. Stelle

Lichnerowicz Modes and Black Hole Families in Ricci Quadratic Gravity

33 pages, 8 figures

Phys. Rev. D 96, 046006 (2017)

10.1103/PhysRevD.96.046006

Imperial/TP/17/KSS/01, MI-TH-1750

hep-th gr-qc

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

A new branch of black hole solutions occurs along with the standard Schwarzschild branch in $n$-dimensional extensions of general relativity including terms quadratic in the Ricci tensor. The standard and new branches cross at a point determined by a static negative-eigenvalue eigenfunction of the Lichnerowicz operator, analogous to the Gross-Perry-Yaffe eigenfunction for the Schwarzschild solution in standard $n=4$ dimensional general relativity. This static eigenfunction has two r\^oles: both as a perturbation away from Schwarzschild along the new black-hole branch and also as a threshold unstable mode lying at the edge of a domain of Gregory-Laflamme-type instability of the Schwarzschild solution for small-radius black holes. A thermodynamic analogy with the Gubser and Mitra conjecture on the relation between quantum thermodynamic and classical dynamical instabilities leads to a suggestion that there may be a switch of stability properties between the old and new black-hole branches for small black holes with radii below the branch crossing point.

[ { "created": "Tue, 18 Apr 2017 18:42:16 GMT", "version": "v1" } ]

2017-08-23

[ [ "Lu", "H.", "" ], [ "Perkins", "A.", "" ], [ "Pope", "C. N.", "" ], [ "Stelle", "K. S.", "" ] ]

A new branch of black hole solutions occurs along with the standard Schwarzschild branch in $n$-dimensional extensions of general relativity including terms quadratic in the Ricci tensor. The standard and new branches cross at a point determined by a static negative-eigenvalue eigenfunction of the Lichnerowicz operator, analogous to the Gross-Perry-Yaffe eigenfunction for the Schwarzschild solution in standard $n=4$ dimensional general relativity. This static eigenfunction has two r\^oles: both as a perturbation away from Schwarzschild along the new black-hole branch and also as a threshold unstable mode lying at the edge of a domain of Gregory-Laflamme-type instability of the Schwarzschild solution for small-radius black holes. A thermodynamic analogy with the Gubser and Mitra conjecture on the relation between quantum thermodynamic and classical dynamical instabilities leads to a suggestion that there may be a switch of stability properties between the old and new black-hole branches for small black holes with radii below the branch crossing point.

9.846091

9.23379

10.217093

9.201138

10.114368

9.3457

10.267399

9.59808

9.610525

10.688568

9.260969

9.571853

9.568263

9.514924

9.491349

9.689918

9.9803

9.800899

9.643039

9.740055

9.516224

hep-th/0110220

Wolfgang Lucha

Richard L. Hall, Wolfgang Lucha, and F. F. Schoberl

Discrete spectra of semirelativistic Hamiltonians from envelope theory

20 pages, 2 tables, 4 figures

Int.J.Mod.Phys.A17:1931-1952,2002

10.1142/S0217751X02010522

HEPHY-PUB 740/01, UWThPh-2001-27, CUQM-86

hep-th hep-ph math-ph math.MP nucl-th

null

We analyze the (discrete) spectrum of the semirelativistic ``spinless-Salpeter'' Hamiltonian H = \beta \sqrt{m^2 + p^2} + V(r), beta > 0, where V(r) represents an attractive, spherically symmetric potential in three dimensions. In order to locate the eigenvalues of H, we extend the ``envelope theory,'' originally formulated only for nonrelativistic Schroedinger operators, to the case of Hamiltonians H involving the relativistic kinetic-energy operator. If V(r) is a convex transformation of the Coulomb potential -1/r and a concave transformation of the harmonic-oscillator potential r^2, both upper and lower bounds on the discrete eigenvalues of H can be constructed, which may all be expressed in the form E = min_{r>0} [ \beta \sqrt{m^2 + P^2/r^2} + V(r) ] for suitable values of the numbers P here provided. At the critical point, the relative growth to the Coulomb potential h(r) = -1/r must be bounded by dV/dh < 2 \beta/\pi.

[ { "created": "Wed, 24 Oct 2001 13:25:56 GMT", "version": "v1" } ]

2014-11-18

[ [ "Hall", "Richard L.", "" ], [ "Lucha", "Wolfgang", "" ], [ "Schoberl", "F. F.", "" ] ]

We analyze the (discrete) spectrum of the semirelativistic ``spinless-Salpeter'' Hamiltonian H = \beta \sqrt{m^2 + p^2} + V(r), beta > 0, where V(r) represents an attractive, spherically symmetric potential in three dimensions. In order to locate the eigenvalues of H, we extend the ``envelope theory,'' originally formulated only for nonrelativistic Schroedinger operators, to the case of Hamiltonians H involving the relativistic kinetic-energy operator. If V(r) is a convex transformation of the Coulomb potential -1/r and a concave transformation of the harmonic-oscillator potential r^2, both upper and lower bounds on the discrete eigenvalues of H can be constructed, which may all be expressed in the form E = min_{r>0} [ \beta \sqrt{m^2 + P^2/r^2} + V(r) ] for suitable values of the numbers P here provided. At the critical point, the relative growth to the Coulomb potential h(r) = -1/r must be bounded by dV/dh < 2 \beta/\pi.

8.047065

8.826188

8.734076

7.567802

8.173255

8.317798

7.64812

7.477839

7.425999

8.883024

7.640972

7.788584

7.726676

7.518278

7.522612

7.197137

7.514995

7.293486

7.96872

7.901903

7.676249

2112.08391

Gregory Loges

Gregory J. Loges, Gary Shiu

Breeding realistic D-brane models

19 pages + appendices, 9 figures

null

10.1002/prop.202200038

null

hep-th cs.LG hep-ph

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

Intersecting branes provide a useful mechanism to construct particle physics models from string theory with a wide variety of desirable characteristics. The landscape of such models can be enormous, and navigating towards regions which are most phenomenologically interesting is potentially challenging. Machine learning techniques can be used to efficiently construct large numbers of consistent and phenomenologically desirable models. In this work we phrase the problem of finding consistent intersecting D-brane models in terms of genetic algorithms, which mimic natural selection to evolve a population collectively towards optimal solutions. For a four-dimensional ${\cal N}=1$ supersymmetric type IIA orientifold with intersecting D6-branes, we demonstrate that $\mathcal{O}(10^6)$ unique, fully consistent models can be easily constructed, and, by a judicious choice of search environment and hyper-parameters, $\mathcal{O}(30\%)$ of the found models contain the desired Standard Model gauge group factor. Having a sizable sample allows us to draw some preliminary landscape statistics of intersecting brane models both with and without the restriction of having the Standard Model gauge factor.

[ { "created": "Wed, 15 Dec 2021 19:00:04 GMT", "version": "v1" } ]

2022-05-18

[ [ "Loges", "Gregory J.", "" ], [ "Shiu", "Gary", "" ] ]

Intersecting branes provide a useful mechanism to construct particle physics models from string theory with a wide variety of desirable characteristics. The landscape of such models can be enormous, and navigating towards regions which are most phenomenologically interesting is potentially challenging. Machine learning techniques can be used to efficiently construct large numbers of consistent and phenomenologically desirable models. In this work we phrase the problem of finding consistent intersecting D-brane models in terms of genetic algorithms, which mimic natural selection to evolve a population collectively towards optimal solutions. For a four-dimensional ${\cal N}=1$ supersymmetric type IIA orientifold with intersecting D6-branes, we demonstrate that $\mathcal{O}(10^6)$ unique, fully consistent models can be easily constructed, and, by a judicious choice of search environment and hyper-parameters, $\mathcal{O}(30\%)$ of the found models contain the desired Standard Model gauge group factor. Having a sizable sample allows us to draw some preliminary landscape statistics of intersecting brane models both with and without the restriction of having the Standard Model gauge factor.

9.490052

8.666019

9.780466

8.780798

9.274301

8.898382

8.988035

8.967805

8.606898

9.678313

8.278059

8.373938

9.115822

8.631813

8.548756

8.6395

8.571151

8.614177

8.628789

8.91316

8.415654

2206.06353

Alexandre Vieira PhD

A. R. Vieira

The unambiguous Lorentz-violating induced terms

Presented at the Ninth Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, May 17-26, 2022

Proceedings of the Ninth Meeting on CPT and Lorentz Symmetry, pp. 144-147 (2023)

10.1142/9789811275388_0031

null

hep-th hep-ph

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

In this work, we show that surface terms, which map dependence on regularization, can be fixed requiring momentum routing invariance of tadpoles or diagrams with more external legs. This condition makes the Lorentz-violating terms induced by quantum corrections determined and uniques.

[ { "created": "Mon, 13 Jun 2022 17:50:38 GMT", "version": "v1" } ]

2023-07-06

[ [ "Vieira", "A. R.", "" ] ]

In this work, we show that surface terms, which map dependence on regularization, can be fixed requiring momentum routing invariance of tadpoles or diagrams with more external legs. This condition makes the Lorentz-violating terms induced by quantum corrections determined and uniques.

42.766708

34.764462

34.750759

31.11166

34.389503

37.819016

40.073418

34.300644

32.480469

40.484306

32.656235

35.363838

37.367638

36.417004

35.412006

38.352989

35.217957

36.570156

35.248695

38.631344

36.445946

hep-th/9201068

null

M. Martellini, M. Spreafico and K. Yoshida

On the Black-Hole Conformal Field Theory Coupled to the Polyakov's String Theory. A Non Perturbative Analysis

5 pages

Mod. Phys. Lett. A7 (1992) 1281-1286

10.1142/S0217732392003761

null

hep-th

null

We couple the 2D black-hole conformal field theory discovered by Witten to a $D-1$ dimensional Euclidean bosonic string. We demonstrate that the resulting planar (=zero genus) string susceptibility is real for any $0\leq D \leq 4$.

[ { "created": "Wed, 29 Jan 1992 14:10:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Martellini", "M.", "" ], [ "Spreafico", "M.", "" ], [ "Yoshida", "K.", "" ] ]

We couple the 2D black-hole conformal field theory discovered by Witten to a $D-1$ dimensional Euclidean bosonic string. We demonstrate that the resulting planar (=zero genus) string susceptibility is real for any $0\leq D \leq 4$.

16.178532

13.36546

15.50058

12.590335

13.432334

12.293412

15.148814

12.908868

13.856281

15.681168

12.589372

13.033195

15.293213

12.440998

13.306141

12.842484

12.561341

13.208879

13.009031

14.716757

12.984917

hep-th/9908074

Yigal Shamir

A. Casher, Y. Shamir

Feynman rules for non-perturbative sectors and anomalous supersymmetry Ward identities

57 pages, 13 figures, latex2e, epsf

null

TAUP-2582-99

hep-th hep-lat hep-ph

null

We show that supersymmetry Ward identities contain an anomalous term which takes the form of a surface term in Hilbert space. In the one-instanton sector the anomalous term is the integral of a total rho-derivative where rho is the instanton's size. There are cases where the anomalous term is non-zero, and cannot be modified by subtractions. This constitutes a supersymmetry anomaly. The derivation is based on Feynman rules suitable for any non-perturbative sector of a weakly-coupled, renormalizable gauge theory.

[ { "created": "Mon, 9 Aug 1999 23:20:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Casher", "A.", "" ], [ "Shamir", "Y.", "" ] ]

We show that supersymmetry Ward identities contain an anomalous term which takes the form of a surface term in Hilbert space. In the one-instanton sector the anomalous term is the integral of a total rho-derivative where rho is the instanton's size. There are cases where the anomalous term is non-zero, and cannot be modified by subtractions. This constitutes a supersymmetry anomaly. The derivation is based on Feynman rules suitable for any non-perturbative sector of a weakly-coupled, renormalizable gauge theory.

9.261262

9.916251

9.864837

8.861799

8.657723

9.127811

9.058883

9.117138

8.92928

9.771288

8.596179

8.896452

9.220931

8.85435

8.768527

9.10424

8.939808

8.482254

8.648994

9.013568

8.683782

1305.6389

Naoki Sasakura

Quantum canonical tensor model and an exact wave function

17 pages. Section 2 expanded to include fuzzy-space interpretation, and other minor changes

null

10.1142/S0217751X1350111X

YITP-13-36

hep-th gr-qc

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

Tensor models in various forms are being studied as models of quantum gravity. Among them the canonical tensor model has a canonical pair of rank-three tensors as dynamical variables, and is a pure constraint system with first-class constraints. The Poisson algebra of the first-class constraints has structure functions, and provides an algebraically consistent way of discretizing the Dirac first-class constraint algebra for general relativity. This paper successfully formulates the Wheeler-DeWitt scheme of quantization of the canonical tensor model; the ordering of operators in the constraints is determined without ambiguity by imposing Hermiticity and covariance on the constraints, and the commutation algebra of constraints takes essentially the same from as the classical Poisson algebra, i.e. is first-class. Thus one could consistently obtain, at least locally in the configuration space, wave functions of "universe" by solving the partial differential equations representing the constraints, i.e. the Wheeler-DeWitt equations for the quantum canonical tensor model. The unique wave function for the simplest non-trivial case is exactly and globally obtained. Although this case is far from being realistic, the wave function has a few physically interesting features; it shows that locality is favored, and that there exists a locus of configurations with features of beginning of universe.

[ { "created": "Tue, 28 May 2013 07:28:55 GMT", "version": "v1" }, { "created": "Fri, 13 Sep 2013 05:31:58 GMT", "version": "v2" } ]

2015-06-16

[ [ "Sasakura", "Naoki", "" ] ]

Tensor models in various forms are being studied as models of quantum gravity. Among them the canonical tensor model has a canonical pair of rank-three tensors as dynamical variables, and is a pure constraint system with first-class constraints. The Poisson algebra of the first-class constraints has structure functions, and provides an algebraically consistent way of discretizing the Dirac first-class constraint algebra for general relativity. This paper successfully formulates the Wheeler-DeWitt scheme of quantization of the canonical tensor model; the ordering of operators in the constraints is determined without ambiguity by imposing Hermiticity and covariance on the constraints, and the commutation algebra of constraints takes essentially the same from as the classical Poisson algebra, i.e. is first-class. Thus one could consistently obtain, at least locally in the configuration space, wave functions of "universe" by solving the partial differential equations representing the constraints, i.e. the Wheeler-DeWitt equations for the quantum canonical tensor model. The unique wave function for the simplest non-trivial case is exactly and globally obtained. Although this case is far from being realistic, the wave function has a few physically interesting features; it shows that locality is favored, and that there exists a locus of configurations with features of beginning of universe.

12.975747

12.563701

12.600326

12.909123

12.898396

12.580214

12.85667

12.957297

12.41394

13.533113

12.229

12.659969

12.195043

11.917189

12.313251

12.448549

12.64836

12.24232

12.630774

12.748934

12.713387

2208.03534

Giorgio Comitini

Fabio Siringo and Giorgio Comitini

The Nielsen identities in screened theories

null

Phys. Rev. D 106, 076014 (2022)

10.1103/PhysRevD.106.076014

null

hep-th hep-lat hep-ph

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

One-loop explicit expressions are derived for the gluon Nielsen identity in the formalism of the screened massive expansion for Yang-Mills theory. The gauge-parameter-independence of the poles and residues is discussed in a strict perturbative context and, more generally, in extended resummation schemes. No exact formal proof was reached by the approximate resummation schemes, but some evidence is gathered in favor of an exact invariance of the phase, consistently with previous numerical studies.

[ { "created": "Sat, 6 Aug 2022 15:43:27 GMT", "version": "v1" }, { "created": "Mon, 29 Aug 2022 18:56:11 GMT", "version": "v2" } ]

2022-11-08

[ [ "Siringo", "Fabio", "" ], [ "Comitini", "Giorgio", "" ] ]

One-loop explicit expressions are derived for the gluon Nielsen identity in the formalism of the screened massive expansion for Yang-Mills theory. The gauge-parameter-independence of the poles and residues is discussed in a strict perturbative context and, more generally, in extended resummation schemes. No exact formal proof was reached by the approximate resummation schemes, but some evidence is gathered in favor of an exact invariance of the phase, consistently with previous numerical studies.

23.538931

23.83036

21.049252

20.715528

21.026054

21.619642

20.328526

22.276058

19.26853

22.580166

21.023417

21.135637

21.682871

21.192497

21.159122

21.370642

20.601114

21.4594

20.91087

21.921484

21.36297

hep-th/9112007

Gustav Delius

G.W. Delius, M.T. Grisaru and D. Zanon

Exact s-Matrices for the Nonsimply-Laced Affine Toda Theories $a_{2n-1}^{(2)}$

11 pages

Phys.Lett. B277 (1992) 414-422

10.1016/0370-2693(92)91804-I

null

hep-th

null

We derive the exact, factorized, purely elastic scattering matrices for the $a_{2n-1}^{(2)}$ family of nonsimply-laced affine Toda theories. The derivation takes into account the distortion of the classical mass spectrum by radiative correction, as well as modifications of the usual bootstrap assumptions since for these theories anomalous threshold singularities lead to a displacement of some single particle poles.

[ { "created": "Wed, 4 Dec 1991 14:41:18 GMT", "version": "v1" } ]

2009-10-22

[ [ "Delius", "G. W.", "" ], [ "Grisaru", "M. T.", "" ], [ "Zanon", "D.", "" ] ]

We derive the exact, factorized, purely elastic scattering matrices for the $a_{2n-1}^{(2)}$ family of nonsimply-laced affine Toda theories. The derivation takes into account the distortion of the classical mass spectrum by radiative correction, as well as modifications of the usual bootstrap assumptions since for these theories anomalous threshold singularities lead to a displacement of some single particle poles.

16.466974

12.357574

21.682106

12.572499

13.045087

13.043427

12.676634

12.338297

12.256964

21.589077

13.050932

13.166419

18.696892

14.248709

13.037447

13.50427

12.954319

13.731211

14.020848

18.160637

12.93801

1801.03248

Angel Rincon

Angel Rincon, Grigoris Panotopoulos

Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory

8 pages, 4 figures, 3 tables, to appear in: Physical Review D

null

10.1103/PhysRevD.97.024027

null

hep-th gr-qc

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

We study for the first time the stability against scalar perturbations, and we compute the spectrum of quasinormal modes of three-dimensional charged black holes in Einstein-power-Maxwell non-linear electrodynamics assuming running couplings. Adopting the 6th order WKB approximation we investigate how the running of the couplings change the spectrum of the classical theory. Our results show that all modes corresponding to non-vanishing angular momentum are unstable both in the classical theory and with the running of the couplings, while the fundamental mode can be stable or unstable depending on the running parameter and the electric charge.

[ { "created": "Wed, 10 Jan 2018 06:07:01 GMT", "version": "v1" } ]

2018-02-14

[ [ "Rincon", "Angel", "" ], [ "Panotopoulos", "Grigoris", "" ] ]

We study for the first time the stability against scalar perturbations, and we compute the spectrum of quasinormal modes of three-dimensional charged black holes in Einstein-power-Maxwell non-linear electrodynamics assuming running couplings. Adopting the 6th order WKB approximation we investigate how the running of the couplings change the spectrum of the classical theory. Our results show that all modes corresponding to non-vanishing angular momentum are unstable both in the classical theory and with the running of the couplings, while the fundamental mode can be stable or unstable depending on the running parameter and the electric charge.

8.976356

8.107686

6.659846

6.837173

7.69033

7.421468

7.329863

6.617492

7.679151

7.114601

8.518414

8.380157

7.465266

7.432356

7.885154

8.076351

7.762818

7.2274

8.43292

7.641547

8.046708

hep-th/9804025

Jose Gaite Cuesta

Jos\'e Gaite

On thermodynamic approaches to conformal field theory

14 pages, LaTeX, submitted to Nucl. Phys. B

Nucl.Phys.B525:627-640,1998

10.1016/S0550-3213(98)00340-X

FFUOV-98-04

hep-th cond-mat

null

We present the thermodynamic Bethe ansatz as a way to factorize the partition function of a 2d field theory, in particular, a conformal field theory and we compare it with another approach to factorization due to K. Schoutens which consists of diagonalizing matrix recursion relations between the partition functions at consecutive levels. We prove that both are equivalent, taking as examples the SU(2) spinons and the 3-state Potts model. In the latter case we see that there are two different thermodynamic Bethe ansatz equation systems with the same physical content, of which the second is new and corresponds to a one-quasiparticle representation, as opposed to the usual two-quasiparticle representation. This new thermodynamic Bethe ansatz system leads to a new dilogarithmic formula for the central charge of that model.

[ { "created": "Thu, 2 Apr 1998 19:41:34 GMT", "version": "v1" } ]

2016-08-15

[ [ "Gaite", "José", "" ] ]

We present the thermodynamic Bethe ansatz as a way to factorize the partition function of a 2d field theory, in particular, a conformal field theory and we compare it with another approach to factorization due to K. Schoutens which consists of diagonalizing matrix recursion relations between the partition functions at consecutive levels. We prove that both are equivalent, taking as examples the SU(2) spinons and the 3-state Potts model. In the latter case we see that there are two different thermodynamic Bethe ansatz equation systems with the same physical content, of which the second is new and corresponds to a one-quasiparticle representation, as opposed to the usual two-quasiparticle representation. This new thermodynamic Bethe ansatz system leads to a new dilogarithmic formula for the central charge of that model.

8.048487

8.681865

9.137999

7.667883

8.639366

8.628064

8.313044

7.944626

8.322061

8.846523

7.910487

7.85693

8.155818

7.716293

7.956885

7.895397

7.960486

7.815603

7.818859

7.933553

7.755534

2001.01725

Bogdan Stoica

An Huang, Dan Mao, and Bogdan Stoica

From $p$-adic to Archimedean Physics: Renormalization Group Flow and Berkovich Spaces

27 pages, 3 figures

null

hep-th math-ph math.MP math.NT

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

We introduce the $p$-adic particle-in-a-box as a free particle with periodic boundary conditions in the $p$-adic spatial domain. We compute its energy spectrum, and show that the spectrum of the Archimedean particle-in-a-box can be recovered from the $p$-adic spectrum via an Euler product formula. This product formula arises from a flow equation in Berkovich space, which we interpret as a space of theories connected by a kind of renormalization group flow. We propose that Berkovich spaces can be used to relate $p$-adic and Archimedean quantities generally.

[ { "created": "Mon, 6 Jan 2020 19:00:02 GMT", "version": "v1" } ]

2020-01-08

[ [ "Huang", "An", "" ], [ "Mao", "Dan", "" ], [ "Stoica", "Bogdan", "" ] ]

We introduce the $p$-adic particle-in-a-box as a free particle with periodic boundary conditions in the $p$-adic spatial domain. We compute its energy spectrum, and show that the spectrum of the Archimedean particle-in-a-box can be recovered from the $p$-adic spectrum via an Euler product formula. This product formula arises from a flow equation in Berkovich space, which we interpret as a space of theories connected by a kind of renormalization group flow. We propose that Berkovich spaces can be used to relate $p$-adic and Archimedean quantities generally.

7.64928

8.39627

8.529615

7.434653

8.491766

8.005829

8.05209

7.667164

7.769386

9.066491

7.627195

7.337667

7.847077

7.222646

7.493863

7.443945

7.43636

7.464725

7.157387

8.288807

7.244212

1311.3434

Kostya Trachenko

K. Trachenko and V. V. Brazhkin

Non-perturbative treatment of strongly-interacting fields: insights from liquid theory

null

Annals of Physics 347, 92 (2014)

10.1016/j.aop.2014.04.025

null

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

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

We outline a new programme of solving the problem of treating strong interactions in field theories. The programme does not involve perturbation theories and associated problems of divergences. We apply our recent idea of treating strongly interacting liquids to field theories by showing the equivalence of Hamiltonians of liquids and interacting fields. In this approach, the motion of the field results in the disappearance of $n-1$ transverse modes with frequency smaller than the Frenkel frequency $\omega_{\rm F}$, similar to the loss of two transverse modes in a liquid with frequency $\omega<\omega_{\rm F}$. We illustrate the proposed programme with the calculation of the energy and propagator, and show that the results can not be obtained in perturbation theory to any finite order. Importantly, the Frenkel energy gap $E_{\rm F}=\hbar\omega_{\rm F}$ and the associated massive Frenkel particle naturally appear in our consideration, the result that is relevant for current efforts to demonstrate a mass gap in interacting field theories such as Yang-Mills theory. Notably, our mechanism involves a physically sensible starting point in terms of real masses (frequencies) in the harmonic non-interacting field, in contrast to the Higgs effect involving the imaginary mass as a starting point. We further note that the longitudinal mode in our approach remains gapless, implying that both short-range and long-range forces with massive and massless particles naturally emerge and unify in a single interacting field, a result not hitherto anticipated. Finally, we comment on the relationship between our results and hydrodynamic description of the quark-gluon plasma.

[ { "created": "Thu, 14 Nov 2013 09:58:44 GMT", "version": "v1" }, { "created": "Mon, 25 Nov 2013 16:56:54 GMT", "version": "v2" }, { "created": "Wed, 21 May 2014 16:20:08 GMT", "version": "v3" } ]

2014-05-22

[ [ "Trachenko", "K.", "" ], [ "Brazhkin", "V. V.", "" ] ]

We outline a new programme of solving the problem of treating strong interactions in field theories. The programme does not involve perturbation theories and associated problems of divergences. We apply our recent idea of treating strongly interacting liquids to field theories by showing the equivalence of Hamiltonians of liquids and interacting fields. In this approach, the motion of the field results in the disappearance of $n-1$ transverse modes with frequency smaller than the Frenkel frequency $\omega_{\rm F}$, similar to the loss of two transverse modes in a liquid with frequency $\omega<\omega_{\rm F}$. We illustrate the proposed programme with the calculation of the energy and propagator, and show that the results can not be obtained in perturbation theory to any finite order. Importantly, the Frenkel energy gap $E_{\rm F}=\hbar\omega_{\rm F}$ and the associated massive Frenkel particle naturally appear in our consideration, the result that is relevant for current efforts to demonstrate a mass gap in interacting field theories such as Yang-Mills theory. Notably, our mechanism involves a physically sensible starting point in terms of real masses (frequencies) in the harmonic non-interacting field, in contrast to the Higgs effect involving the imaginary mass as a starting point. We further note that the longitudinal mode in our approach remains gapless, implying that both short-range and long-range forces with massive and massless particles naturally emerge and unify in a single interacting field, a result not hitherto anticipated. Finally, we comment on the relationship between our results and hydrodynamic description of the quark-gluon plasma.

11.348301

12.596838

11.694516

11.331266

12.090785

12.467514

12.214526

11.569592

11.651312

12.386693

11.54239

11.262692

11.238642

10.994335

10.947835

11.282152

11.048731

11.290543

10.957726

11.113406

11.031285

2211.12291

Cesar Romaniega

Guglielmo Fucci and C\'esar Romaniega Sancho

Casimir energy for spinor fields with $\delta$-shell potentials

2 figures

null

10.1088/1751-8121/acd892

null

hep-th math-ph math.MP

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

This work analyzes the Casimir energy of a massive spinor field propagating in flat space endowed with a spherically symmetric $\delta$-function potential. By utilizing the spectral zeta function regularization method, the Casimir energy is evaluated after performing a suitable analytic continuation. Explicit numerical results are provided for specific cases in which the Casimir energy is unambiguously defined. The results described in this work represent a generalization of the MIT bag model for spinor fields.

[ { "created": "Tue, 22 Nov 2022 14:08:53 GMT", "version": "v1" }, { "created": "Thu, 15 Jun 2023 07:50:44 GMT", "version": "v2" } ]

2023-06-16

[ [ "Fucci", "Guglielmo", "" ], [ "Sancho", "César Romaniega", "" ] ]

This work analyzes the Casimir energy of a massive spinor field propagating in flat space endowed with a spherically symmetric $\delta$-function potential. By utilizing the spectral zeta function regularization method, the Casimir energy is evaluated after performing a suitable analytic continuation. Explicit numerical results are provided for specific cases in which the Casimir energy is unambiguously defined. The results described in this work represent a generalization of the MIT bag model for spinor fields.

7.306626

6.645836

7.922862

6.483558

6.534864

6.502329

6.30364

6.170907

6.302327

8.798668

6.40524

6.847013

7.505245

6.924408

6.790659

6.872012

6.854174

6.776616

6.776136

7.422213

6.859956

hep-th/0304002

Sergei V. Ketov

More on the gauge-fixed D3-brane action with dilaton-axion coupling from N=1 superspace

10 pages, LaTeX, minor improvements in sect.3

Mod.Phys.Lett. A18 (2003) 1887-1894

10.1142/S0217732303011733

null

hep-th

null

The gauge-fixed action of a `spacetime-filling' D3-brane with dilaton-axion coupling is formulated in N=1 superspace. We investigate its symmetries by paying special attention to a possible non-linearly realized extra (hidden) supersymmetry, and emphasize the need of a linear superfield coupled to an abelian Chern-Simons superfield to represent a dilaton-axion supermultiplet in the off-shell manifestly supersymmetric approach.

[ { "created": "Tue, 1 Apr 2003 08:03:13 GMT", "version": "v1" }, { "created": "Thu, 17 Jul 2003 04:47:02 GMT", "version": "v2" } ]

2009-11-10

[ [ "Ketov", "Sergei V.", "" ] ]

The gauge-fixed action of a `spacetime-filling' D3-brane with dilaton-axion coupling is formulated in N=1 superspace. We investigate its symmetries by paying special attention to a possible non-linearly realized extra (hidden) supersymmetry, and emphasize the need of a linear superfield coupled to an abelian Chern-Simons superfield to represent a dilaton-axion supermultiplet in the off-shell manifestly supersymmetric approach.

11.201859

10.178112

10.729949

9.201821

10.165573

9.501023

9.63662

9.849298

9.722466

11.672266

9.586938

10.184067

10.869773

10.148005

9.91546

10.223548

10.052101

10.186206

10.094709

10.758516

10.192165

hep-th/9306041

Steve Giddings

S.B. Giddings

Black Holes and Quantum Predictability

24 pages (harvmac l mode). [insignificant change] UCSBTH-93-16

null

hep-th gr-qc

null

A brief review of the confrontation between black hole physics and quantum-mechanical unitarity is presented. Possibile reconciliations are modifying the laws of physics to allow fundamental loss of information, escape of information during the Hawking process, or black hole remnants. Each of these faces serious objections. A better understanding of the problem and its possible solutions can be had by studying two-dimensional models of dilaton gravity. Recent developments in these investigations are summarized. (Linear superposition of talks presented at the 7th Nishinomiya Yukawa Memorial Symposium and at the 1992 YITP Workshop on Quantum Gravity, November 1992.)

[ { "created": "Tue, 8 Jun 1993 00:15:00 GMT", "version": "v1" }, { "created": "Tue, 8 Jun 1993 21:26:47 GMT", "version": "v2" } ]

2008-02-03

[ [ "Giddings", "S. B.", "" ] ]

A brief review of the confrontation between black hole physics and quantum-mechanical unitarity is presented. Possibile reconciliations are modifying the laws of physics to allow fundamental loss of information, escape of information during the Hawking process, or black hole remnants. Each of these faces serious objections. A better understanding of the problem and its possible solutions can be had by studying two-dimensional models of dilaton gravity. Recent developments in these investigations are summarized. (Linear superposition of talks presented at the 7th Nishinomiya Yukawa Memorial Symposium and at the 1992 YITP Workshop on Quantum Gravity, November 1992.)

13.063216

11.623565

12.629244

11.583066

12.612191

12.77112

12.025975

11.560627

11.165971

12.915203

12.467892

11.135709

12.001715

11.443319

11.811232

11.812952

11.791884

11.449853

11.647477

12.880486

11.063541

hep-th/0201022

Elena Perazzi

Elena Perazzi (LBNL)

Duality in N=1 Supersymmetric gauge theories and recent developments

11 pages, to appear in the Proceedings of "HEP-MAD'01: 1st High-Energy Physics Conference In Madagascar", 27 Sep - 5 Oct 2001, Antananarivo, Madagascar

null

10.1142/9789812776983_0015

null

hep-th

null

We discuss a number of exact results in N=1 supersymmetric field theories. We review the results obtained by Seiberg in Super-Yang-Mills (SYM) theories with matter in fundamental representation. We then consider Kutasov-type SYM theories, which also contain matter in the adjoint representation and an appropriate tree--level superpotential. We finally focus on one particular case in the latter theories, a generalization of the theories with equal number of flavors and colors studied by Seiberg, in which non--trivial superconformal theories appear at certain sections of the quantum--modified moduli space. Throughout the paper we stress the role played by duality in the search for exact results.

[ { "created": "Fri, 4 Jan 2002 15:48:35 GMT", "version": "v1" } ]

2017-08-23

[ [ "Perazzi", "Elena", "", "LBNL" ] ]

We discuss a number of exact results in N=1 supersymmetric field theories. We review the results obtained by Seiberg in Super-Yang-Mills (SYM) theories with matter in fundamental representation. We then consider Kutasov-type SYM theories, which also contain matter in the adjoint representation and an appropriate tree--level superpotential. We finally focus on one particular case in the latter theories, a generalization of the theories with equal number of flavors and colors studied by Seiberg, in which non--trivial superconformal theories appear at certain sections of the quantum--modified moduli space. Throughout the paper we stress the role played by duality in the search for exact results.

9.497391

9.48511

9.526907

8.813194

9.212179

9.355018

9.428222

9.019406

8.639862

11.052505

9.299052

9.698234

9.230291

9.191866

9.145823

9.077703

9.707039

9.503744

9.225695

9.680637

9.055862

2001.00040

Robert Brandenberger

Vahid Kamali and Robert Brandenberger

Relaxing the TCC Bound on Inflationary Cosmology?

5 pages, no figures; a few minor algebra errors corrected, matches with the published version (European Journal of Physics C)

null

10.1140/epjc/s10052-020-7908-8

null

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

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

We demonstrate that the strict upper bounds on the energy scale of inflation and on the tensor-to-scalar ratio can be somewhat relaxed if we assume that - after an initial period of slow rolling when scales probed today in CMB experiments exit the Hubble radius - the equation of state of the background changes to correspond to an almost marginally accelerating universe. Constructing an actual model in which this happens appears, however, to be unnatural.

[ { "created": "Tue, 31 Dec 2019 19:07:46 GMT", "version": "v1" }, { "created": "Sat, 4 Jan 2020 16:35:09 GMT", "version": "v2" }, { "created": "Thu, 23 Apr 2020 12:57:17 GMT", "version": "v3" } ]

2020-05-20

[ [ "Kamali", "Vahid", "" ], [ "Brandenberger", "Robert", "" ] ]

We demonstrate that the strict upper bounds on the energy scale of inflation and on the tensor-to-scalar ratio can be somewhat relaxed if we assume that - after an initial period of slow rolling when scales probed today in CMB experiments exit the Hubble radius - the equation of state of the background changes to correspond to an almost marginally accelerating universe. Constructing an actual model in which this happens appears, however, to be unnatural.

13.818852

15.81379

12.791286

14.113623

13.825869

14.302356

14.086901

14.783119

12.644434

13.241788

13.135172

13.382628

13.02739

12.555254

13.501758

13.485583

13.017889

13.008467

13.054159

13.400887

12.586304

hep-th/0203063

Gesualdo Delfino

G. Delfino, P. Grinza and G. Mussardo

On the fermion-boson correspondence for correlation functions of disorder operators

9 pages, latex

Phys.Lett. B536 (2002) 169-176

10.1016/S0370-2693(02)01805-1

null

hep-th cond-mat

null

When a quantum field theory possesses topological excitations in a phase with spontaneously broken symmetry, these are created by operators which are non-local with respect to the order parameter. Due to non-locality, such disorder operators have non-trivial correlation functions even in free massive theories. In two dimensions, these correlators can be expressed exactly in terms of solutions of non-linear differential equations. The correlation functions of the one-parameter family of non-local operators in the free charged bosonic and fermionic models are the inverse of each other. We point out a simple derivation of this correspondence within the form factor approach

[ { "created": "Thu, 7 Mar 2002 12:38:18 GMT", "version": "v1" } ]

2009-11-07

[ [ "Delfino", "G.", "" ], [ "Grinza", "P.", "" ], [ "Mussardo", "G.", "" ] ]

When a quantum field theory possesses topological excitations in a phase with spontaneously broken symmetry, these are created by operators which are non-local with respect to the order parameter. Due to non-locality, such disorder operators have non-trivial correlation functions even in free massive theories. In two dimensions, these correlators can be expressed exactly in terms of solutions of non-linear differential equations. The correlation functions of the one-parameter family of non-local operators in the free charged bosonic and fermionic models are the inverse of each other. We point out a simple derivation of this correspondence within the form factor approach

9.649874

9.104236

9.930819

8.533136

9.436602

9.210146

8.852876

8.837476

8.511194

10.45295

8.574141

8.638581

9.569575

8.830218

8.827644

8.785706

8.693085

8.954091

8.912529

9.898349

8.685419

hep-th/0610140

Mu-In Park

Mu-in Park

Can Hawking temperatures be negative ?

Some more explanations about the boundary stress- tensor and CFT generators added, References added, Accepted in PLB

Phys.Lett.B663:259-264,2008

10.1016/j.physletb.2008.04.009

null

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

null

It has been widely believed that the Hawking temperature for a black hole is $uniquely$ determined by its metric and $positive$. But, I find that this does ``not'' seem to be true in the recently discovered black holes which include the exotic black holes and the black holes in the three-dimensional higher curvature gravities. I show that the Hawking temperatures, which are measured by the quantum fields in thermal equilibrium with the black holes, are $not$ the usual Hawking temperature but the $new$ temperatures that have been proposed recently and can be $negative$. The associated new entropy formulae, which are defined by the first law of thermodynamics, versus the black hole masses show some genuine effects of the black holes which do not occur in the spin systems. Some cosmological implications and physical origin of the discrepancy with the standard analysis are noted also.

[ { "created": "Thu, 12 Oct 2006 15:48:32 GMT", "version": "v1" }, { "created": "Mon, 5 Mar 2007 13:29:11 GMT", "version": "v2" }, { "created": "Tue, 6 Mar 2007 05:35:49 GMT", "version": "v3" }, { "created": "Thu, 17 Jan 2008 06:51:44 GMT", "version": "v4" }, { "created": "Mon, 7 Apr 2008 01:50:55 GMT", "version": "v5" } ]

2008-11-26

[ [ "Park", "Mu-in", "" ] ]

It has been widely believed that the Hawking temperature for a black hole is $uniquely$ determined by its metric and $positive$. But, I find that this does ``not'' seem to be true in the recently discovered black holes which include the exotic black holes and the black holes in the three-dimensional higher curvature gravities. I show that the Hawking temperatures, which are measured by the quantum fields in thermal equilibrium with the black holes, are $not$ the usual Hawking temperature but the $new$ temperatures that have been proposed recently and can be $negative$. The associated new entropy formulae, which are defined by the first law of thermodynamics, versus the black hole masses show some genuine effects of the black holes which do not occur in the spin systems. Some cosmological implications and physical origin of the discrepancy with the standard analysis are noted also.

12.808502

13.291333

12.209018

12.410265

13.002029

11.989128

13.625477

12.185983

12.434302

12.699624

12.761736

12.092988

12.186407

12.302328

12.477104

12.25096

12.549089

12.304338

12.200601

12.606432

11.979453

2202.05278

Elizabeth Wildenhain

Raphael Bousso and Elizabeth Wildenhain

Islands in Closed and Open Universes

23 pages, 7 figures

null

10.1103/PhysRevD.105.086012

null

hep-th

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

We show that spatial curvature has a significant effect on the existence of entanglement islands in cosmology. We consider a homogeneous, isotropic universe with thermal radiation purified by a reference spacetime. Arbitrarily small positive curvature guarantees that the entire universe is an island. Proper subsets of the time-symmetric slice of a closed or open universe can be islands, but only if the cosmological constant is negative and sufficiently large in magnitude.

[ { "created": "Thu, 10 Feb 2022 19:00:01 GMT", "version": "v1" } ]

2022-04-27

[ [ "Bousso", "Raphael", "" ], [ "Wildenhain", "Elizabeth", "" ] ]

We show that spatial curvature has a significant effect on the existence of entanglement islands in cosmology. We consider a homogeneous, isotropic universe with thermal radiation purified by a reference spacetime. Arbitrarily small positive curvature guarantees that the entire universe is an island. Proper subsets of the time-symmetric slice of a closed or open universe can be islands, but only if the cosmological constant is negative and sufficiently large in magnitude.

14.744667

12.722386

14.321342

12.221014

16.262878

12.949676

14.985017

12.831283

13.129496

14.77323

13.141868

12.802851

14.5666

12.726858

13.329993

13.232202

12.983561

12.828689

13.43466

14.330467

12.485361

hep-th/0412166

Jussi Kalkkinen

Holonomies of Intersecting Branes

8 pages, LaTeX, talk given in the RTN Workshop "The quantum structure of spacetime and the geometric nature of fundamental interactions," (Kolymbari, Greece, September 2004)

Fortsch.Phys. 53 (2005) 913-918

10.1002/prop.200410240

Imperial/TP/041202

hep-th

null

We discuss the geometry of string and M-theory gauge fields in Deligne cohomology. In particular, we show how requiring string structure (or loop space Spin-C structure) on the five-brane leads to topological conditions on the flux in the relative Deligne cohomology of the bulk - brain pair.

[ { "created": "Wed, 15 Dec 2004 17:35:10 GMT", "version": "v1" } ]

2009-11-10

[ [ "Kalkkinen", "Jussi", "" ] ]

We discuss the geometry of string and M-theory gauge fields in Deligne cohomology. In particular, we show how requiring string structure (or loop space Spin-C structure) on the five-brane leads to topological conditions on the flux in the relative Deligne cohomology of the bulk - brain pair.

20.889826

21.864725

28.32749

16.239513

23.487909

19.433689

20.104914

18.993912

16.921135

30.203434

18.479721

20.535572

18.96014

19.159649

19.66416

19.571995

18.794252

19.107918

17.44396

21.260855

17.780033

0708.0888

Florian Payen

An Action For Chan-Paton Factors

1+9 pages, no figures

Phys.Lett.B654:121-126,2007

10.1016/j.physletb.2007.08.050

CP3-07-23

hep-th

null

We show that Chan-Paton factors can be derived from a classical action describing the dynamics of a new group-valued degree of freedom attached to the boundary of an open bosonic string. We discuss the free and the interacting string in the oriented and unoriented cases, as well as the coupling of the string to an external Yang-Mills gauge field, and recover by this approach well-known results.

[ { "created": "Tue, 7 Aug 2007 09:00:32 GMT", "version": "v1" } ]

2008-11-26

[ [ "Payen", "Florian", "" ] ]

We show that Chan-Paton factors can be derived from a classical action describing the dynamics of a new group-valued degree of freedom attached to the boundary of an open bosonic string. We discuss the free and the interacting string in the oriented and unoriented cases, as well as the coupling of the string to an external Yang-Mills gauge field, and recover by this approach well-known results.

10.844427

9.108437

9.994835

8.212105

9.135537

9.478981

9.386404

9.097176

8.534395

9.853312

8.726222

9.162112

9.312349

8.6297

9.00584

9.175247

8.933464

8.65108

9.058484

9.639174

8.713131

hep-th/0204176

Zhou Bang Rong

Zhou Bang-Rong (Graduate School at Beijing, USTC, Academia Sinica and CCAST, Beijing)

Real-time thermal field theory analyses of 2D Gross-Neveu model

8 pages, Latex, no figures

Commun.Theor.Phys.33:451-456,2000

null

hep-th

null

Discrete symmetry breaking and possible restoration at finite temperature $T$ are analysed in 2D Gross-Neveu model by the real-time thermal field theory in the fermion bubble approximation. The dynamical fermion mass $m$ is proven to be scale-independent and this fact indicates the equivalence between the fermion bubble diagram approximation and the mean field approximation used in the auxialiary scalar field approach. Reproducing of the non-zero critical temperature $T_c=0.567 m(0)$, ($m(0)$ is the dynamical fermion mass at T=0), shows the equivalence between the real-time and the imaginary-time thermal field theory in this problem. However, in the real-time formalism, more results including absence of scalar bound state, the equation of criticality curve of chemical potential-temperature and the $\ln(T_c/T)$ behavior of $m^2$ at $T\stackrel{<}{\sim} T_c$ can be easily obtained. The last one indicates the second-order phase transition feature of the symmetry restoration.

[ { "created": "Mon, 22 Apr 2002 04:08:13 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bang-Rong", "Zhou", "", "Graduate School at Beijing, USTC, Academia Sinica and\n CCAST, Beijing" ] ]

Discrete symmetry breaking and possible restoration at finite temperature $T$ are analysed in 2D Gross-Neveu model by the real-time thermal field theory in the fermion bubble approximation. The dynamical fermion mass $m$ is proven to be scale-independent and this fact indicates the equivalence between the fermion bubble diagram approximation and the mean field approximation used in the auxialiary scalar field approach. Reproducing of the non-zero critical temperature $T_c=0.567 m(0)$, ($m(0)$ is the dynamical fermion mass at T=0), shows the equivalence between the real-time and the imaginary-time thermal field theory in this problem. However, in the real-time formalism, more results including absence of scalar bound state, the equation of criticality curve of chemical potential-temperature and the $\ln(T_c/T)$ behavior of $m^2$ at $T\stackrel{<}{\sim} T_c$ can be easily obtained. The last one indicates the second-order phase transition feature of the symmetry restoration.

9.924624

10.1219

9.447942

9.102087

9.245125

10.308556

9.970045

9.939606

9.272787

10.368862

9.16542

8.834538

9.034316

8.78736

9.051221

9.152189

9.003224

9.173328

8.680482

8.828694

8.99268

2002.03558

Mehmet Ozkan

Oguzhan Kasikci, Nese Ozdemir, Mehmet Ozkan, Utku Zorba

Three-Dimensional Higher-Order Schr\"odinger Algebras and Lie Algebra Expansions

v3., typos fixed, reference added, version appeared in JHEP

null

10.1007/JHEP04(2020)067 10.1007/JHEP04(2020)067 10.1007/JHEP04(2020)067

null

hep-th gr-qc

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

We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schr\"odinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra. In particular, we reproduce the extended Schr\"odinger algebra and provide a new higher-order Schr\"odinger algebra. The structure of this new algebra leads to a discussion on the uniqueness of the higher-order non-relativistic algebras. Especially, we show that the recent d-dimensional symmetry algebra of an action principle for Newtonian gravity is not uniquely defined but can accommodate three discrete parameters. For a particular choice of these parameters, the Bargmann algebra becomes a subalgebra of that extended algebra which allows one to introduce a mass current in a Bargmann-invariant sense to the extended theory.

[ { "created": "Mon, 10 Feb 2020 05:38:26 GMT", "version": "v1" }, { "created": "Sat, 15 Feb 2020 08:07:09 GMT", "version": "v2" }, { "created": "Tue, 14 Apr 2020 09:51:08 GMT", "version": "v3" } ]

2020-04-15

[ [ "Kasikci", "Oguzhan", "" ], [ "Ozdemir", "Nese", "" ], [ "Ozkan", "Mehmet", "" ], [ "Zorba", "Utku", "" ] ]

We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schr\"odinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra. In particular, we reproduce the extended Schr\"odinger algebra and provide a new higher-order Schr\"odinger algebra. The structure of this new algebra leads to a discussion on the uniqueness of the higher-order non-relativistic algebras. Especially, we show that the recent d-dimensional symmetry algebra of an action principle for Newtonian gravity is not uniquely defined but can accommodate three discrete parameters. For a particular choice of these parameters, the Bargmann algebra becomes a subalgebra of that extended algebra which allows one to introduce a mass current in a Bargmann-invariant sense to the extended theory.

10.759494

10.847424

11.275425

10.179845

10.221169

10.348945

10.165562

9.952141

10.129313

11.29989

9.838378

10.039843

10.368015

10.115176

10.145272

10.360238

10.10631

10.106579

10.02628

10.777288

9.937895

2209.04988

Akikazu Hashimoto

Akikazu Hashimoto, Nissan Itzhaki, and Uri Peleg

A Worldsheet Description of Instant Folded Strings

31 pages, 9 figures

null

10.1007/JHEP02(2023)088

null

hep-th

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

Time-like linear dilaton backgrounds admit a classical solution that describes a closed folded string that is created at an instant. We refer to such strings as Instant Folded Strings (IFS). We study an exact worldsheet CFT description of an IFS that involves two vertex operators which describe two open string modes that propagate on a time-like FZZT-brane, which plays the role of a regulator to the IFS. We take advantage of this description to calculate the most basic quantity associated with IFSs - their production rate. Some implications of this calculation to stringy cosmology and black hole interior are briefly discussed.

[ { "created": "Mon, 12 Sep 2022 02:16:40 GMT", "version": "v1" } ]

2023-03-01

[ [ "Hashimoto", "Akikazu", "" ], [ "Itzhaki", "Nissan", "" ], [ "Peleg", "Uri", "" ] ]

Time-like linear dilaton backgrounds admit a classical solution that describes a closed folded string that is created at an instant. We refer to such strings as Instant Folded Strings (IFS). We study an exact worldsheet CFT description of an IFS that involves two vertex operators which describe two open string modes that propagate on a time-like FZZT-brane, which plays the role of a regulator to the IFS. We take advantage of this description to calculate the most basic quantity associated with IFSs - their production rate. Some implications of this calculation to stringy cosmology and black hole interior are briefly discussed.

13.830719

11.846801

14.230824

11.123439

11.494249

11.670418

11.187612

11.434041

11.141227

14.313439

11.131926

11.279078

12.164111

11.577665

11.696551

12.08532

11.023934

12.044612

11.415846

12.346651

11.540838

1603.05665

Patrick Jefferson

Robbert Dijkgraaf, Ben Heidenreich, Patrick Jefferson, Cumrun Vafa

Negative Branes, Supergroups and the Signature of Spacetime

66 pages, 12 figures. V2: additional references, minor typo corrections

JHEP 02 (2018) 050

10.1007/JHEP02(2018)050

null

hep-th

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

We study the realization of supergroup gauge theories using negative branes in string theory. We show that negative branes are intimately connected with the possibility of timelike compactification and exotic spacetime signatures previously studied by Hull. Isolated negative branes dynamically generate a change in spacetime signature near their worldvolumes, and are related by string dualities to a smooth M-theory geometry with closed timelike curves. Using negative D3 branes, we show that $SU(0|N)$ supergroup theories are holographically dual to an exotic variant of type IIB string theory on $dS_{3,2} \times \bar S^5$, for which the emergent dimensions are timelike. Using branes, mirror symmetry and Nekrasov's instanton calculus, all of which agree, we derive the Seiberg-Witten curve for $\mathcal N=2 ~SU(N|M)$ gauge theories. Together with our exploration of holography and string dualities for negative branes, this suggests that supergroup gauge theories may be non-perturbatively well-defined objects, though several puzzles remain.

[ { "created": "Thu, 17 Mar 2016 20:00:11 GMT", "version": "v1" }, { "created": "Fri, 6 May 2016 19:39:54 GMT", "version": "v2" } ]

2022-11-08

[ [ "Dijkgraaf", "Robbert", "" ], [ "Heidenreich", "Ben", "" ], [ "Jefferson", "Patrick", "" ], [ "Vafa", "Cumrun", "" ] ]

We study the realization of supergroup gauge theories using negative branes in string theory. We show that negative branes are intimately connected with the possibility of timelike compactification and exotic spacetime signatures previously studied by Hull. Isolated negative branes dynamically generate a change in spacetime signature near their worldvolumes, and are related by string dualities to a smooth M-theory geometry with closed timelike curves. Using negative D3 branes, we show that $SU(0|N)$ supergroup theories are holographically dual to an exotic variant of type IIB string theory on $dS_{3,2} \times \bar S^5$, for which the emergent dimensions are timelike. Using branes, mirror symmetry and Nekrasov's instanton calculus, all of which agree, we derive the Seiberg-Witten curve for $\mathcal N=2 ~SU(N|M)$ gauge theories. Together with our exploration of holography and string dualities for negative branes, this suggests that supergroup gauge theories may be non-perturbatively well-defined objects, though several puzzles remain.

8.875851

10.150152

11.34202

9.396016

9.583174

9.667568

10.398311

9.166382

9.357545

11.968091

9.160876

9.111526

9.387671

8.962293

8.840017

9.296153

8.978682

8.975785

8.66548

9.689225

9.099689

1701.08782

Ke Ye

Laura Fredrickson, Du Pei, Wenbin Yan and Ke Ye

Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters

47+20 pages, 3 figures. v2: reference added, misprints corrected. v3: added corrections according to journal referee

null

10.1007/JHEP01(2018)150

CALT-TH-2016-038

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

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

We use Coulomb branch indices of Argyres-Douglas theories on $S^1 \times L(k,1)$ to quantize moduli spaces ${\cal M}_H$ of wild/irregular Hitchin systems. In particular, we obtain formulae for the "wild Hitchin characters" -- the graded dimensions of the Hilbert spaces from quantization -- for four infinite families of ${\cal M}_H$, giving access to many interesting geometric and topological data of these moduli spaces. We observe that the wild Hitchin characters can always be written as a sum over fixed points in ${\cal M}_H$ under the $U(1)$ Hitchin action, and a limit of them can be identified with matrix elements of the modular transform $ST^kS$ in certain two-dimensional chiral algebras. Although naturally fitting into the geometric Langlands program, the appearance of chiral algebras, which was known previously to be associated with Schur operators but not Coulomb branch operators, is somewhat surprising.

[ { "created": "Mon, 30 Jan 2017 19:02:39 GMT", "version": "v1" }, { "created": "Tue, 14 Mar 2017 17:11:34 GMT", "version": "v2" }, { "created": "Sun, 6 May 2018 17:56:16 GMT", "version": "v3" } ]

2018-05-08

[ [ "Fredrickson", "Laura", "" ], [ "Pei", "Du", "" ], [ "Yan", "Wenbin", "" ], [ "Ye", "Ke", "" ] ]

We use Coulomb branch indices of Argyres-Douglas theories on $S^1 \times L(k,1)$ to quantize moduli spaces ${\cal M}_H$ of wild/irregular Hitchin systems. In particular, we obtain formulae for the "wild Hitchin characters" -- the graded dimensions of the Hilbert spaces from quantization -- for four infinite families of ${\cal M}_H$, giving access to many interesting geometric and topological data of these moduli spaces. We observe that the wild Hitchin characters can always be written as a sum over fixed points in ${\cal M}_H$ under the $U(1)$ Hitchin action, and a limit of them can be identified with matrix elements of the modular transform $ST^kS$ in certain two-dimensional chiral algebras. Although naturally fitting into the geometric Langlands program, the appearance of chiral algebras, which was known previously to be associated with Schur operators but not Coulomb branch operators, is somewhat surprising.

7.664528

7.891864

9.836504

7.533497

8.94908

8.073641

8.568308

8.029364

8.211234

11.059202

7.76947

7.800148

8.951969

7.584165

7.660951

7.799752

7.853191

7.464599

7.710254

8.179123

7.611561

1705.02272

Antoine Van Proeyen

Sergio Ferrara, Marine Samsonyan, Magnus Tournoy and Antoine Van Proeyen

The Supercurrent and Einstein equations in the Superconformal formulation

43 pages; v2: Typos corrected. A subsection, an appendix and references added

null

10.1007/JHEP08(2017)119

CERN-TH-2017-035

hep-th

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

We give a new expression for the supercurrent and its conservation in curved ${\cal N}=1$, $D=4$ superspace using the superconformal approach. The first component of the superfield, whose lowest component is the vector auxiliary field gives the (super)Einstein equations. Its trace and couplings to conformal and non-conformal matter is presented. In a suitable dilatational gauge, the conformal gauge, we obtain an update of the Callan-Coleman-Jackiw improved currents for conformal matter, containing $R$-symmetry corrections for a new traceless covariantly conserved energy--momentum tensor. We observe that in the Poincar\'e gauge, where standard Poincar\'e supergravity is usually formulated, the currents are not improved and then the higher conformal symmetry of the matter sector is obscured. The curvature multiplets are used to find supersymmetric curved backgrounds and some examples are exhibited in agreement with existing results.

[ { "created": "Fri, 5 May 2017 15:40:18 GMT", "version": "v1" }, { "created": "Fri, 30 Jun 2017 14:38:22 GMT", "version": "v2" } ]

2017-09-13

[ [ "Ferrara", "Sergio", "" ], [ "Samsonyan", "Marine", "" ], [ "Tournoy", "Magnus", "" ], [ "Van Proeyen", "Antoine", "" ] ]

We give a new expression for the supercurrent and its conservation in curved ${\cal N}=1$, $D=4$ superspace using the superconformal approach. The first component of the superfield, whose lowest component is the vector auxiliary field gives the (super)Einstein equations. Its trace and couplings to conformal and non-conformal matter is presented. In a suitable dilatational gauge, the conformal gauge, we obtain an update of the Callan-Coleman-Jackiw improved currents for conformal matter, containing $R$-symmetry corrections for a new traceless covariantly conserved energy--momentum tensor. We observe that in the Poincar\'e gauge, where standard Poincar\'e supergravity is usually formulated, the currents are not improved and then the higher conformal symmetry of the matter sector is obscured. The curvature multiplets are used to find supersymmetric curved backgrounds and some examples are exhibited in agreement with existing results.

13.554309

14.067522

15.424232

12.47403

15.222416

13.810734

13.482635

13.768007

13.370862

15.8135

12.778548

13.241024

13.70949

13.149395

12.615572

13.084244

12.646801

13.04938

12.679117

13.488142

12.701328

2105.08863

Pablo Rafael Mora

Pablo Mora

Actions, equations of motion and boundary conditions for Chern-Simons Branes

16 pages

null

10.1016/j.physletb.2021.136428

null

hep-th

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

Actions for extended objects based on Transgression and Chern-Simons forms for space-time groups and supergroups provide a gauge theoretic framework in which to embed previously studied String and Brane actions, extending them in interesting ways that may be useful in a future non perturbative formulation of String Theory. In this Letter I investigate aspects of the actions of these theories, including equations of motion and boundary conditions, gauge and space-time symmetries, and Dirac quantization of tensions. This theoretical framework is shown to include in certain limit and for a suitable gauge group the standard Bosonic String Theory.

[ { "created": "Wed, 19 May 2021 00:32:56 GMT", "version": "v1" } ]

2021-06-09

[ [ "Mora", "Pablo", "" ] ]

Actions for extended objects based on Transgression and Chern-Simons forms for space-time groups and supergroups provide a gauge theoretic framework in which to embed previously studied String and Brane actions, extending them in interesting ways that may be useful in a future non perturbative formulation of String Theory. In this Letter I investigate aspects of the actions of these theories, including equations of motion and boundary conditions, gauge and space-time symmetries, and Dirac quantization of tensions. This theoretical framework is shown to include in certain limit and for a suitable gauge group the standard Bosonic String Theory.

18.894493

16.670042

16.457268

14.367628

14.168582

14.317583

14.083988

14.154123

14.42503

16.94236

13.808637

14.208828

14.069789

14.161419

13.798907

14.208581

14.252881

13.958826

13.50921

13.926921

14.011536

0803.4167

Jerzy Lukierski

A. Borowiec (Univ. of Wroclaw, JINR Dubna), J. Lukierski (Univ. of Wroclaw) and V.N. Tolstoy (Moscow State Univ.)

New twisted quantum deformations of D=4 super-Poincare algebra

12 pages, to appear in the Proc. of Inter. Workshop ''Supersymmetries and Quantum Symmetries'' (SQS'07) (Dubna,30.07 - 4.08, 2007), eds S.Fedoruk, E.Ivanov

null

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

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

We show how some classical r-matrices for the D=4 Poincare algebra can be supersymmetrized by an addition of part depending on odd supercharges. These r-matrices for D=4 super-Poincare algebra can be presented as a sum of the so-called subordinated r-matrices of super-Abelian and super-Jordanian type. Corresponding twists describing quantum deformations are obtained in an explicit form. These twists are the super-extensions of twists obtained in the paper arXiv:0712.3962.

[ { "created": "Fri, 28 Mar 2008 17:08:49 GMT", "version": "v1" }, { "created": "Sun, 30 Mar 2008 16:26:08 GMT", "version": "v2" } ]

2008-04-28

[ [ "Borowiec", "A.", "", "Univ. of Wroclaw, JINR Dubna" ], [ "Lukierski", "J.", "", "Univ. of\n Wroclaw" ], [ "Tolstoy", "V. N.", "", "Moscow State Univ." ] ]

We show how some classical r-matrices for the D=4 Poincare algebra can be supersymmetrized by an addition of part depending on odd supercharges. These r-matrices for D=4 super-Poincare algebra can be presented as a sum of the so-called subordinated r-matrices of super-Abelian and super-Jordanian type. Corresponding twists describing quantum deformations are obtained in an explicit form. These twists are the super-extensions of twists obtained in the paper arXiv:0712.3962.

9.80923

9.844263

11.764404

9.676805

9.69475

9.54654

9.802492

9.547144

9.317228

11.856868

8.8245

8.980606

9.770397

8.8138

8.818723

8.973505

9.014014

9.029906

8.926145

9.360633

8.851585

1806.03308

Nemanja Kaloper

Irrational Monodromies of Vacuum Energy

21 pages LaTeX, 1 .pdf figure v3: additional discussion, comments and refs added; final version accepted in JHEP

null

10.1007/JHEP11(2019)106

null

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

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

We present a theory with axion flux monodromies coupled to gravity, that reduces to the local vacuum energy sequester below the axion mass scales. If the axion potentials include a term generated by nonperturbative couplings to gauge sectors, with a decay constant incommensurate with monodromy periods, the low energy potential germinates a landscape of irrational axion vacua, with arbitrarily small cosmological constants. The sensitivity of the values of cosmological constants to unknown UV physics can be greatly reduced. The variation of the cosmological constant in each vacuum, from one order in perturbation theory to the next, can be much smaller than the na\"ive cutoff. The nonperturbative transitions in the early universe between the vacua populate this landscape, similar to the case of irrational axion. In such a landscape of vacua a small cosmological constant can naturally emerge.

[ { "created": "Fri, 8 Jun 2018 18:01:06 GMT", "version": "v1" }, { "created": "Sun, 29 Jul 2018 07:17:46 GMT", "version": "v2" }, { "created": "Fri, 8 Nov 2019 05:02:24 GMT", "version": "v3" } ]

2020-01-29

[ [ "Kaloper", "Nemanja", "" ] ]

We present a theory with axion flux monodromies coupled to gravity, that reduces to the local vacuum energy sequester below the axion mass scales. If the axion potentials include a term generated by nonperturbative couplings to gauge sectors, with a decay constant incommensurate with monodromy periods, the low energy potential germinates a landscape of irrational axion vacua, with arbitrarily small cosmological constants. The sensitivity of the values of cosmological constants to unknown UV physics can be greatly reduced. The variation of the cosmological constant in each vacuum, from one order in perturbation theory to the next, can be much smaller than the na\"ive cutoff. The nonperturbative transitions in the early universe between the vacua populate this landscape, similar to the case of irrational axion. In such a landscape of vacua a small cosmological constant can naturally emerge.

14.174143

13.925758

14.345674

13.690705

13.419179

13.572069

13.345677

13.780533

14.187992

15.860396

13.694164

12.989726

13.792784

13.423839

13.260277

12.971441

13.137055

13.018988

13.219765

14.050478

13.218342

2207.06735

Naoki Ogawa

Naoki Ogawa, Tadashi Takayanagi, Takashi Tsuda, Takahiro Waki

Wedge Holography in Flat Space and Celestial Holography

42 pages, 12 figures

null

10.1103/PhysRevD.107.026001

YITP-22-71, IPMU22-0036

hep-th gr-qc

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

In this paper, we study codimension two holography in flat spacetimes, based on the idea of the wedge holography. We propose that a region in a $d+1$ dimensional flat spacetime surrounded by two end of the world-branes, which are given by $d$ dimensional hyperbolic spaces, is dual to a conformal field theory (CFT) on a $d-1$ dimensional sphere. Similarly, we also propose that a $d+1$ dimensional region in the flat spacetime bounded by two $d$ dimensional de Sitter spaces is holographically dual to a CFT on a $d-1$ dimensional sphere. Our calculations of the partition function, holographic entanglement entropy and two point functions, support these duality relations and imply that such CFTs are non-unitary. Finally, we glue these two dualities along null surfaces to realize a codimension two holography for a full Minkowski spacetime and discuss a possible connection to the celestial holography.

[ { "created": "Thu, 14 Jul 2022 08:43:10 GMT", "version": "v1" }, { "created": "Sun, 31 Jul 2022 07:05:54 GMT", "version": "v2" } ]

2023-01-18

[ [ "Ogawa", "Naoki", "" ], [ "Takayanagi", "Tadashi", "" ], [ "Tsuda", "Takashi", "" ], [ "Waki", "Takahiro", "" ] ]

In this paper, we study codimension two holography in flat spacetimes, based on the idea of the wedge holography. We propose that a region in a $d+1$ dimensional flat spacetime surrounded by two end of the world-branes, which are given by $d$ dimensional hyperbolic spaces, is dual to a conformal field theory (CFT) on a $d-1$ dimensional sphere. Similarly, we also propose that a $d+1$ dimensional region in the flat spacetime bounded by two $d$ dimensional de Sitter spaces is holographically dual to a CFT on a $d-1$ dimensional sphere. Our calculations of the partition function, holographic entanglement entropy and two point functions, support these duality relations and imply that such CFTs are non-unitary. Finally, we glue these two dualities along null surfaces to realize a codimension two holography for a full Minkowski spacetime and discuss a possible connection to the celestial holography.

5.226374

4.770333

5.776196

4.672961

4.820544

4.767612

4.712767

4.934205

4.778975

5.770392

5.041205

4.922305

5.326838

5.016814

4.95385

4.985127

5.074067

5.046443

5.136429

5.130386

4.873545

hep-th/0701182

Sergey Fedoruk

Sergey Fedoruk, Jerzy Lukierski

Twistorial and space-time descriptions of D=4 string models

9 pages, talk given by S. Fedoruk at the XXII Max Born Symposium, Wroclaw, Poland, September 27 - 29, 2006; to be published in the Proceedings

null

hep-th

null

We derive twistorial tensionful bosonic string action by considering on the world sheet the canonical twistorial 2-form in two-twistor space. We demonstrate the equivalence of or model to two known momentum formulations of D=4 bosonic string, with covariant worldsheet vectorial string momenta $P_\mu^m(\tau,\sigma)$ and the one with tensorial string momenta $P_{[\mu\nu]}(\tau,\sigma)$. All considered here string actions, in twistorial and mixed spinor-spacetime formulations, are classically equivalent to the Nambu-Goto action.

[ { "created": "Fri, 19 Jan 2007 15:22:05 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fedoruk", "Sergey", "" ], [ "Lukierski", "Jerzy", "" ] ]

We derive twistorial tensionful bosonic string action by considering on the world sheet the canonical twistorial 2-form in two-twistor space. We demonstrate the equivalence of or model to two known momentum formulations of D=4 bosonic string, with covariant worldsheet vectorial string momenta $P_\mu^m(\tau,\sigma)$ and the one with tensorial string momenta $P_{[\mu\nu]}(\tau,\sigma)$. All considered here string actions, in twistorial and mixed spinor-spacetime formulations, are classically equivalent to the Nambu-Goto action.

15.825607

13.2101

16.440573

13.26904

18.026487

17.282566

16.423561

13.568478

13.267104

17.884449

13.728028

14.323318

15.121126

14.330816

15.111362

15.670688

14.945486

14.329019

14.191185

15.046206

14.338966

2310.00520

Akshay Yelleshpur Srikant

Adam Ball and Shounak De and Akshay Yelleshpur Srikant and Anastasia Volovich

Scalar-Graviton Amplitudes and Celestial Holography

null

hep-th

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

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the coordinates of the gravitons. Such correlators of gravitons are well-defined and do not suffer from divergences associated with the Mellin transform of usual graviton amplitudes. Moreover, they are non-distributional and take the form of standard CFT correlators. We show that they are consistent with the usual OPEs but the statement of the soft theorem is modified.

[ { "created": "Sat, 30 Sep 2023 22:59:17 GMT", "version": "v1" } ]

2023-10-03

[ [ "Ball", "Adam", "" ], [ "De", "Shounak", "" ], [ "Srikant", "Akshay Yelleshpur", "" ], [ "Volovich", "Anastasia", "" ] ]

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the coordinates of the gravitons. Such correlators of gravitons are well-defined and do not suffer from divergences associated with the Mellin transform of usual graviton amplitudes. Moreover, they are non-distributional and take the form of standard CFT correlators. We show that they are consistent with the usual OPEs but the statement of the soft theorem is modified.

9.561454

9.170542

10.749932

8.611671

9.164513

8.814479

8.856307

8.566835

8.749068

10.730171

8.95827

9.258327

9.397655

9.171246

9.039198

9.013738

9.126712

9.068335

9.678422

9.977283

8.892318

1604.06998

Meng-Sen Ma

Meng-Sen Ma, Ren Zhao, Yan-Song Liu

Phase transition and thermodynamic stability of topological black holes in Ho\v{r}ava-Lifshitz gravity

10 pages, 11 figures

Classical and Quantum Gravity, 34, 165009 (2017)

10.1088/1361-6382/aa8000

null

hep-th

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

On the basis of horizon thermodynamics, we study the thermodynamic stability and $P-V$ criticality of topological black holes constructed in Ho\v{r}ava-Lifshitz (HL) gravity without the detailed-balance condition (with general $\epsilon$). In the framework of horizon thermodynamics, we do not need the concrete black hole solution (the metric function) and the concrete matter fields. It is shown that the HL black hole for $k=0$ is always thermodynamically stable. For $k=1$, the thermodynamic behaviors and $P-V$ criticality of the HL black hole are similar to those of RN-AdS black hole for some $\epsilon$. For $k=-1$, the temperature is classified into six types by their different features. Among them, we mainly focus on the type with triply degenerate thermodynamic state. It is also shown that there is a "thermodynamic singularity" for the $k=-1$ HL black hole, where the temperature and Gibbs free energy both diverge apart from a special pressure $P_s$.

[ { "created": "Sun, 24 Apr 2016 09:02:47 GMT", "version": "v1" }, { "created": "Mon, 3 Apr 2017 09:36:28 GMT", "version": "v2" }, { "created": "Fri, 28 Jul 2017 08:52:34 GMT", "version": "v3" } ]

2017-07-31

[ [ "Ma", "Meng-Sen", "" ], [ "Zhao", "Ren", "" ], [ "Liu", "Yan-Song", "" ] ]

On the basis of horizon thermodynamics, we study the thermodynamic stability and $P-V$ criticality of topological black holes constructed in Ho\v{r}ava-Lifshitz (HL) gravity without the detailed-balance condition (with general $\epsilon$). In the framework of horizon thermodynamics, we do not need the concrete black hole solution (the metric function) and the concrete matter fields. It is shown that the HL black hole for $k=0$ is always thermodynamically stable. For $k=1$, the thermodynamic behaviors and $P-V$ criticality of the HL black hole are similar to those of RN-AdS black hole for some $\epsilon$. For $k=-1$, the temperature is classified into six types by their different features. Among them, we mainly focus on the type with triply degenerate thermodynamic state. It is also shown that there is a "thermodynamic singularity" for the $k=-1$ HL black hole, where the temperature and Gibbs free energy both diverge apart from a special pressure $P_s$.

7.024325

6.773238

6.473634

6.519811

6.965558

6.909227

6.806496

6.270327

6.749194

7.067345

6.757778

6.453906

6.426163

6.387366

6.38166

6.483293

6.413051

6.376606

6.474792

6.70333

6.548979

hep-th/0312091

Bogdan Stefanski jr.

B. Stefanski Jr

Open Spinning Strings

null

JHEP 0403 (2004) 057

10.1088/1126-6708/2004/03/057

null

hep-th

null

We find classical open string solutions in the $AdS_5\times S^5/\Zop_2$ orientifold with angular momenta along the five-sphere. The energy of these solutions has an expansion in integral powers of $\lambda$ with sigma-model corrections suppressed by inverse powers of $J$ - the total angular momentum. This gives a prediction for the exact anomalous dimensions of operators in the large $N$ limit of an ${\cal N}=2$ $Sp(N)$ Super-Yang-Mills theory with matter. We also find a simple map between open and closed string solutions. This gives a prediction for an all-loop planar relationship between the anomalous dimensions of single-trace and two-quark operators in the dual gauge theory.

[ { "created": "Tue, 9 Dec 2003 15:53:55 GMT", "version": "v1" } ]

2009-11-10

[ [ "Stefanski", "B.", "Jr" ] ]

We find classical open string solutions in the $AdS_5\times S^5/\Zop_2$ orientifold with angular momenta along the five-sphere. The energy of these solutions has an expansion in integral powers of $\lambda$ with sigma-model corrections suppressed by inverse powers of $J$ - the total angular momentum. This gives a prediction for the exact anomalous dimensions of operators in the large $N$ limit of an ${\cal N}=2$ $Sp(N)$ Super-Yang-Mills theory with matter. We also find a simple map between open and closed string solutions. This gives a prediction for an all-loop planar relationship between the anomalous dimensions of single-trace and two-quark operators in the dual gauge theory.

7.288482

6.05749

8.282768

5.791111

5.766295

6.150337

5.780545

5.935684

5.88527

8.897599

5.523371

6.275949

7.530631

6.46973

6.504142

6.333648

6.220696

6.59618

6.450729

7.472423

6.455659

1404.1838

Kentaroh Yoshida

Takuya Matsumoto, Kentaroh Yoshida

Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence

18 pages, no figure, LaTeX, v2:references and further clarifications added

null

10.1007/JHEP06(2014)135

KUNS-2488, ITP-UU-14/12, SPIN-14/12

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

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

We consider \gamma-deformations of the AdS_5xS^5 superstring as Yang-Baxter sigma models with classical r-matrices satisfying the classical Yang-Baxter equation (CYBE). An essential point is that the classical r-matrices are composed of Cartan generators only and then generate abelian twists. We present examples of the r-matrices that lead to real \gamma-deformations of the AdS_5xS^5 superstring. Finally we discuss a possible classification of integrable deformations and the corresponding gravity solution in terms of solutions of CYBE. This classification may be called the gravity/CYBE correspondence.

[ { "created": "Mon, 7 Apr 2014 16:27:39 GMT", "version": "v1" }, { "created": "Tue, 22 Apr 2014 17:08:50 GMT", "version": "v2" } ]

2015-06-19

[ [ "Matsumoto", "Takuya", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We consider \gamma-deformations of the AdS_5xS^5 superstring as Yang-Baxter sigma models with classical r-matrices satisfying the classical Yang-Baxter equation (CYBE). An essential point is that the classical r-matrices are composed of Cartan generators only and then generate abelian twists. We present examples of the r-matrices that lead to real \gamma-deformations of the AdS_5xS^5 superstring. Finally we discuss a possible classification of integrable deformations and the corresponding gravity solution in terms of solutions of CYBE. This classification may be called the gravity/CYBE correspondence.

6.656252

6.074909

8.824536

6.157504

6.892744

6.211993

6.139026

6.312648

6.160737

8.787355

6.162004

6.330884

7.58195

6.731659

6.609241

6.496135

6.67742

6.452109

6.763577

7.172987

6.357506

2403.02980

Kevin Tam

Holger Gies, Kevin K. K. Tam

Fermionic Fixed-Point Structure of Asymptotically Safe QED with a Pauli Term

null

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

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

We test the physical viability of a recent proposal for an asymptotically safe modification of quantum electrodynamics (QED), whose ultraviolet physics is dominated by a non-perturbative Pauli spin-field coupling. We focus in particular on its compatibility with the absence of dynamical generation of fermion mass in QED. Studying the renormalization group flow of chiral four-fermion operators and their fixed points, we discover a distinct class of behavior compared to the standard picture of fixed-point annihilation at large gauge couplings and the ensuing formation of chiral condensates. Instead, transcritical bifurcations, where the fixed points merely exchange infrared stability, are observed. Provided that non-chiral operators remain irrelevant, our theory accommodates a universality class of light fermions for $N_{\text{f}} > 1$ irreducible Dirac flavors. On the contrary, in the special case of $N_{\text{f}} = 1$ flavor, this comes only at the expense of introducing one additional relevant parameter.

[ { "created": "Tue, 5 Mar 2024 13:59:20 GMT", "version": "v1" } ]

2024-03-06

[ [ "Gies", "Holger", "" ], [ "Tam", "Kevin K. K.", "" ] ]

We test the physical viability of a recent proposal for an asymptotically safe modification of quantum electrodynamics (QED), whose ultraviolet physics is dominated by a non-perturbative Pauli spin-field coupling. We focus in particular on its compatibility with the absence of dynamical generation of fermion mass in QED. Studying the renormalization group flow of chiral four-fermion operators and their fixed points, we discover a distinct class of behavior compared to the standard picture of fixed-point annihilation at large gauge couplings and the ensuing formation of chiral condensates. Instead, transcritical bifurcations, where the fixed points merely exchange infrared stability, are observed. Provided that non-chiral operators remain irrelevant, our theory accommodates a universality class of light fermions for $N_{\text{f}} > 1$ irreducible Dirac flavors. On the contrary, in the special case of $N_{\text{f}} = 1$ flavor, this comes only at the expense of introducing one additional relevant parameter.

9.839931

10.068107

10.142109

9.148225

9.707531

9.583485

10.148555

10.051033

9.392745

10.797099

9.243901

9.583929

9.25999

9.100551

9.460623

9.330337

9.350986

9.228563

9.180567

9.333868

9.044135

hep-th/9205064

Andre LeClair

D. Bernard and A. LeClair

The Quantum Double in Integrable Quantum Field Theory

43 pages

Nucl.Phys.B399:709-748,1993

10.1016/0550-3213(93)90515-Q

CLNS 92/1147, SPht-92-054

hep-th

null

Various aspects of recent works on affine quantum group symmetry of integrable 2d quantum field theory are reviewed and further clarified. A geometrical meaning is given to the quantum double, and other properties of quantum groups. Multiplicative presentations of the Yangian double are analyzed.

[ { "created": "Mon, 18 May 1992 23:36:30 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bernard", "D.", "" ], [ "LeClair", "A.", "" ] ]

Various aspects of recent works on affine quantum group symmetry of integrable 2d quantum field theory are reviewed and further clarified. A geometrical meaning is given to the quantum double, and other properties of quantum groups. Multiplicative presentations of the Yangian double are analyzed.

17.908468

17.996199

18.188686

14.27293

13.383275

14.849375

17.646843

14.109747

15.018075

20.442593

14.084079

14.122271

18.141085

15.084042

14.653112

14.340249

14.414227

15.104799

14.962628

18.735064

15.309046

2310.03100

Rodrigo Andrade e Silva

Quantization of causal diamonds in (2+1)-dimensional gravity -- Part II: Group-theoretic quantization

121 pages, 0 figures. See also Part I: Classical reduction (arXiv:2308.11741)

null

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

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

We develop the non-perturbative reduced phase space quantization of causal diamonds in (2+1)-dimensional gravity with a nonpositive cosmological constant. In Part I we described the classical reduction process and the reduced phase space, $\widetilde{\mathcal P} = T^*(\text{Diff}^+\!(S^1)/\text{PSL}(2, \mathbb R))$, while in Part II we discuss the quantization of the phase space and quantum aspects of the causal diamonds. Because the phase space does not have a natural linear structure, a generalization of the standard canonical (coordinate) quantization is required. In particular, as the configuration space is a homogeneous space for the $\text{Diff}^+\!(S^1)$ group, we apply Isham's group-theoretic quantization scheme. We propose a quantization based on (projective) unitary irreducible representations of the $\text{BMS}_3$ group, which is obtained from a natural prescription for extending $\text{Diff}^+\!(S^1)$ into a transitive group of symplectic symmetries of the phase space. We find a class of suitable quantum theories labelled by a choice of a coadjoint orbit of the Virasoro group and an irreducible unitary representation of the corresponding little group. The most natural choice, justified by a Casimir matching principle, corresponds to a Hilbert space realized by wavefunctions on $\text{Diff}^+\!(S^1)/\text{PSL}(2, \mathbb R)$ valued in some unitary irreducible representation of $\text{SL}(2, \mathbb R)$. A surprising result is that the twist of the diamond corner loop is quantized in terms of the ratio of the Planck length to the corner perimeter.

[ { "created": "Wed, 4 Oct 2023 18:29:18 GMT", "version": "v1" } ]

2023-10-06

[ [ "Silva", "Rodrigo Andrade e", "" ] ]

We develop the non-perturbative reduced phase space quantization of causal diamonds in (2+1)-dimensional gravity with a nonpositive cosmological constant. In Part I we described the classical reduction process and the reduced phase space, $\widetilde{\mathcal P} = T^*(\text{Diff}^+\!(S^1)/\text{PSL}(2, \mathbb R))$, while in Part II we discuss the quantization of the phase space and quantum aspects of the causal diamonds. Because the phase space does not have a natural linear structure, a generalization of the standard canonical (coordinate) quantization is required. In particular, as the configuration space is a homogeneous space for the $\text{Diff}^+\!(S^1)$ group, we apply Isham's group-theoretic quantization scheme. We propose a quantization based on (projective) unitary irreducible representations of the $\text{BMS}_3$ group, which is obtained from a natural prescription for extending $\text{Diff}^+\!(S^1)$ into a transitive group of symplectic symmetries of the phase space. We find a class of suitable quantum theories labelled by a choice of a coadjoint orbit of the Virasoro group and an irreducible unitary representation of the corresponding little group. The most natural choice, justified by a Casimir matching principle, corresponds to a Hilbert space realized by wavefunctions on $\text{Diff}^+\!(S^1)/\text{PSL}(2, \mathbb R)$ valued in some unitary irreducible representation of $\text{SL}(2, \mathbb R)$. A surprising result is that the twist of the diamond corner loop is quantized in terms of the ratio of the Planck length to the corner perimeter.

6.208341

5.883024

6.510875

5.778942

6.249836

5.677619

6.089368

5.76511

5.709195

6.872623

5.666347

6.036174

6.079434

5.887715

5.956377

6.07294

6.057311

5.901215

5.933792

6.114478

5.845158

1702.05101

Madalena Lemos

Martina Cornagliotto, Madalena Lemos, Volker Schomerus

Long Multiplet Bootstrap

39 pages (32 plus one appendix), 4 figures; v2: added discussion on the non-saturation of the analytic central charge bound; v3: footnote added, small typos corrected

null

10.1007/JHEP10(2017)119

DESY 17-026

hep-th

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

Applications of the bootstrap program to superconformal field theories promise unique new insights into their landscape and could even lead to the discovery of new models. Most existing results of the superconformal bootstrap were obtained form correlation functions of very special fields in short (BPS) representations of the superconformal algebra. Our main goal is to initiate a superconformal bootstrap for long multiplets, one that exploits all constraints from superprimaries and their descendants. To this end, we work out the Casimir equations for four-point correlators of long multiplets of the two-dimensional global $\mathcal{N}=2$ superconformal algebra. After constructing the full set of conformal blocks we discuss two different applications. The first one concerns two-dimensional (2,0) theories. The numerical bootstrap analysis we perform serves a twofold purpose, as a feasibility study of our long multiplet bootstrap and also as an exploration of (2,0) theories. A second line of applications is directed towards four-dimensional $\mathcal{N}=3$ SCFTs. In this context, our results imply a new bound $c \geqslant \tfrac{13}{24}$ for the central charge of such models, which we argue cannot be saturated by an interacting SCFT.

[ { "created": "Thu, 16 Feb 2017 19:00:07 GMT", "version": "v1" }, { "created": "Mon, 16 Oct 2017 09:27:28 GMT", "version": "v2" }, { "created": "Mon, 11 Jun 2018 09:57:39 GMT", "version": "v3" } ]

2018-06-12

[ [ "Cornagliotto", "Martina", "" ], [ "Lemos", "Madalena", "" ], [ "Schomerus", "Volker", "" ] ]

Applications of the bootstrap program to superconformal field theories promise unique new insights into their landscape and could even lead to the discovery of new models. Most existing results of the superconformal bootstrap were obtained form correlation functions of very special fields in short (BPS) representations of the superconformal algebra. Our main goal is to initiate a superconformal bootstrap for long multiplets, one that exploits all constraints from superprimaries and their descendants. To this end, we work out the Casimir equations for four-point correlators of long multiplets of the two-dimensional global $\mathcal{N}=2$ superconformal algebra. After constructing the full set of conformal blocks we discuss two different applications. The first one concerns two-dimensional (2,0) theories. The numerical bootstrap analysis we perform serves a twofold purpose, as a feasibility study of our long multiplet bootstrap and also as an exploration of (2,0) theories. A second line of applications is directed towards four-dimensional $\mathcal{N}=3$ SCFTs. In this context, our results imply a new bound $c \geqslant \tfrac{13}{24}$ for the central charge of such models, which we argue cannot be saturated by an interacting SCFT.

8.35079

8.05035

9.139136

7.675393

8.085589

8.136214

8.177206

8.032331

7.87899

9.244227

7.544492

7.373415

8.050995

7.347551

7.399239

7.61694

7.446272

7.308844

7.431955

7.593318

7.243149

hep-th/9403144

Warren Siegel

W. Siegel

Randomizing the Superstring

15 pg., (uuencoded compressed postscript file; revision: fixed notational ambiguity---too many phi's) ITP-SB-94-08

Phys.Rev. D50 (1994) 2799-2805

10.1103/PhysRevD.50.2799

null

hep-th

null

We find a simpler formulation of the Green-Schwarz action, for which the Wess-Zumino term is the square of supersymmetric currents, like the rest of the action. On a random lattice it gives Feynman diagrams of a particle superfield theory.

[ { "created": "Wed, 23 Mar 1994 17:05:28 GMT", "version": "v1" }, { "created": "Mon, 18 Apr 1994 19:24:18 GMT", "version": "v2" } ]

2009-10-28

[ [ "Siegel", "W.", "" ] ]

We find a simpler formulation of the Green-Schwarz action, for which the Wess-Zumino term is the square of supersymmetric currents, like the rest of the action. On a random lattice it gives Feynman diagrams of a particle superfield theory.

19.656094

17.927303

22.721558

17.381435

16.900612

17.913832

17.055874

16.348717

16.147778

26.334421

16.204227

16.803959

18.216757

17.260359

16.7001

17.244204

17.110435

17.206158

16.69742

20.471785

17.668665

1605.00603

Poul Olesen

P. Olesen

A center vortex representaton of the classical SU(2) vacuum

Some references are added and a more detailed discussion of the quantum case is given

null

hep-th astro-ph.HE

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

The classical massless SU(2) field theory has an infinite number of gauge equivalent representations of the vacuum. We show that among these there exists a non-perturbative center vortex representation with some similarity to the quantum vacuum of the same theory. This classical SU(2) vacuum consists of a lattice of center vortex pairs combining to triviality. However, this triviality can be broken by perturbations, for example by adding a mass term, or by considering the electroweak theory where the Higgs field does the breaking, or by quantum fluctuations like in QCD.

[ { "created": "Mon, 2 May 2016 18:26:34 GMT", "version": "v1" }, { "created": "Mon, 13 Jun 2016 16:06:55 GMT", "version": "v2" }, { "created": "Wed, 9 Nov 2016 10:30:58 GMT", "version": "v3" } ]

2016-11-10

[ [ "Olesen", "P.", "" ] ]

The classical massless SU(2) field theory has an infinite number of gauge equivalent representations of the vacuum. We show that among these there exists a non-perturbative center vortex representation with some similarity to the quantum vacuum of the same theory. This classical SU(2) vacuum consists of a lattice of center vortex pairs combining to triviality. However, this triviality can be broken by perturbations, for example by adding a mass term, or by considering the electroweak theory where the Higgs field does the breaking, or by quantum fluctuations like in QCD.

11.181327

10.342058

11.752501

9.599646

10.645191

11.113188

10.386844

10.078318

9.637904

12.193955

10.044315

9.595087

9.961415

10.10132

9.737657

10.022704

9.658874

9.733126

9.623108

10.050026

9.681404

1603.02442

Ali Seraj

Conserved charges, surface degrees of freedom, and black hole entropy

PhD thesis

null

hep-th gr-qc

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

In this thesis, we study the Hamiltonian and covariant phase space description of gravitational theories. The phase space represents the allowed field configurations and is accompanied by a closed nondegenerate 2 form- the symplectic form. We will show that local/gauge symmetries of the action fall into two different categories in the phase space formulation. Those corresponding to constraints in the phase space, and those associated with nontrivial conserved charges. We argue that while the former is related to redundant gauge degrees of freedom, the latter leads to physically distinct states of the system, known as surface degrees of freedom and can induce a lower dimensional dynamics on the system. These ideas are then implemented to build the phase space of specific gravitational systems: 1) asymptotically AdS3 spacetimes, and 2) near horizon geometries of extremal black holes (NHEG) in arbitrary dimension. In the AdS3 phase space, we show that Brown-Henneaux asymptotic symmetries can be extended inside the bulk of spacetime and hence become symplectic symmetries of the phase space. We will show that in the NHEG phase space, surface gravitons form a Virasoro algebra in four dimensions, and a novel generalization of Virasoro in higher dimensions. The central charge of the algebra is proportional to the entropy of the corresponding extremal black hole. We study the holographic description of NHEG phase space and show that the charges can be computed through a Liouville type stress tensor defined over a lower dimensional torus. We will discuss whether surface gravitons can serve as the microscopic origin of black hole entropy.

[ { "created": "Tue, 8 Mar 2016 09:45:35 GMT", "version": "v1" } ]

2016-03-09

[ [ "Seraj", "Ali", "" ] ]

In this thesis, we study the Hamiltonian and covariant phase space description of gravitational theories. The phase space represents the allowed field configurations and is accompanied by a closed nondegenerate 2 form- the symplectic form. We will show that local/gauge symmetries of the action fall into two different categories in the phase space formulation. Those corresponding to constraints in the phase space, and those associated with nontrivial conserved charges. We argue that while the former is related to redundant gauge degrees of freedom, the latter leads to physically distinct states of the system, known as surface degrees of freedom and can induce a lower dimensional dynamics on the system. These ideas are then implemented to build the phase space of specific gravitational systems: 1) asymptotically AdS3 spacetimes, and 2) near horizon geometries of extremal black holes (NHEG) in arbitrary dimension. In the AdS3 phase space, we show that Brown-Henneaux asymptotic symmetries can be extended inside the bulk of spacetime and hence become symplectic symmetries of the phase space. We will show that in the NHEG phase space, surface gravitons form a Virasoro algebra in four dimensions, and a novel generalization of Virasoro in higher dimensions. The central charge of the algebra is proportional to the entropy of the corresponding extremal black hole. We study the holographic description of NHEG phase space and show that the charges can be computed through a Liouville type stress tensor defined over a lower dimensional torus. We will discuss whether surface gravitons can serve as the microscopic origin of black hole entropy.

7.075458

7.731825

7.804683

7.246334

7.688807

7.493017

7.434781

7.537464

7.252684

8.520834

7.320175

7.246016

7.361453

7.105937

7.007285

7.247476

7.179574

7.150869

7.022263

7.355844

7.128103

2004.09738

Anindya Dey

Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories

(14+82) pages + appendices, many figures.Section 1 provides a brief summary of the paper. V2:Minor typos fixed, and references added, V3: Minor edits

null

10.1007/JHEP07(2021)199

null

hep-th

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

Mirror symmetry, a three dimensional $\mathcal{N}=4$ IR duality, has been studied in detail for quiver gauge theories of the $ADE$-type (as well as their affine versions) with unitary gauge groups. The $A$-type quivers (also known as linear quivers) and the associated mirror dualities have a particularly simple realization in terms of a Type IIB system of D3-D5-NS5-branes. In this paper, we present a systematic field theory prescription for constructing 3d mirror pairs beyond the $ADE$ quiver gauge theories, starting from a dual pair of $A$-type quivers with unitary gauge groups. The construction involves a certain generalization of the $S$ and the $T$ operations, which arise in the context of the $SL(2,\mathbb{Z})$ action on a 3d CFT with a $U(1)$ 0-form global symmetry. We implement this construction in terms of two supersymmetric observables -- the round sphere partition function and the superconformal index on $S^2 \times S^1$. We discuss explicit examples of various (non-$ADE$) infinite families of mirror pairs that can be obtained in this fashion. In addition, we use the above construction to conjecture explicit 3d $\mathcal{N}=4$ Lagrangians for 3d SCFTs, which arise in the deep IR limit of certain Argyres-Douglas theories compactified on a circle.

[ { "created": "Tue, 21 Apr 2020 03:34:03 GMT", "version": "v1" }, { "created": "Mon, 1 Mar 2021 19:04:40 GMT", "version": "v2" }, { "created": "Tue, 21 Feb 2023 02:46:31 GMT", "version": "v3" } ]

2023-02-22

[ [ "Dey", "Anindya", "" ] ]

Mirror symmetry, a three dimensional $\mathcal{N}=4$ IR duality, has been studied in detail for quiver gauge theories of the $ADE$-type (as well as their affine versions) with unitary gauge groups. The $A$-type quivers (also known as linear quivers) and the associated mirror dualities have a particularly simple realization in terms of a Type IIB system of D3-D5-NS5-branes. In this paper, we present a systematic field theory prescription for constructing 3d mirror pairs beyond the $ADE$ quiver gauge theories, starting from a dual pair of $A$-type quivers with unitary gauge groups. The construction involves a certain generalization of the $S$ and the $T$ operations, which arise in the context of the $SL(2,\mathbb{Z})$ action on a 3d CFT with a $U(1)$ 0-form global symmetry. We implement this construction in terms of two supersymmetric observables -- the round sphere partition function and the superconformal index on $S^2 \times S^1$. We discuss explicit examples of various (non-$ADE$) infinite families of mirror pairs that can be obtained in this fashion. In addition, we use the above construction to conjecture explicit 3d $\mathcal{N}=4$ Lagrangians for 3d SCFTs, which arise in the deep IR limit of certain Argyres-Douglas theories compactified on a circle.

5.886412

5.262952

7.046771

5.505929

5.326299

5.422123

5.414194

5.294768

5.330078

7.056639

5.413302

5.310871

5.960122

5.440331

5.517263

5.408895

5.469275

5.516904

5.352811

5.977495

5.416735

0806.3252

Tomoyoshi Hirata

Tatsuo Azeyanagi, Masanori Hanada, Tomoyoshi Hirata

On Matrix Model Formulations of Noncommutative Yang-Mills Theories

24 pages, no figure, reference added, minor corrections, to be published in PRD

Phys.Rev.D78:105017,2008

10.1103/PhysRevD.78.105017

KUNS-2146, WIS/13/08-Jun-DPP

hep-th hep-lat

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

We study stability of noncommutative spaces in matrix models and discuss the continuum limit which leads to noncommutative Yang-Mills theories (NCYM). It turns out that most of noncommutative spaces in bosonic models are unstable. This indicates perturbative instability of fuzzy R^D pointed out by Van Raamsdonk and Armoni et al. persists to nonperturbative level in these cases. In this sense, these bosonic NCYM are not well-defined, or at least their matrix model formulations studied in this paper do not work. We also show that noncommutative backgrounds are stable in a supersymmetric matrix model deformed by a cubic Myers term, though the deformation itself breaks supersymmetry.

[ { "created": "Thu, 19 Jun 2008 17:54:08 GMT", "version": "v1" }, { "created": "Fri, 20 Jun 2008 11:30:35 GMT", "version": "v2" }, { "created": "Thu, 26 Jun 2008 18:23:03 GMT", "version": "v3" }, { "created": "Mon, 1 Dec 2008 09:57:38 GMT", "version": "v4" } ]

2009-02-23

[ [ "Azeyanagi", "Tatsuo", "" ], [ "Hanada", "Masanori", "" ], [ "Hirata", "Tomoyoshi", "" ] ]

We study stability of noncommutative spaces in matrix models and discuss the continuum limit which leads to noncommutative Yang-Mills theories (NCYM). It turns out that most of noncommutative spaces in bosonic models are unstable. This indicates perturbative instability of fuzzy R^D pointed out by Van Raamsdonk and Armoni et al. persists to nonperturbative level in these cases. In this sense, these bosonic NCYM are not well-defined, or at least their matrix model formulations studied in this paper do not work. We also show that noncommutative backgrounds are stable in a supersymmetric matrix model deformed by a cubic Myers term, though the deformation itself breaks supersymmetry.

9.01786

8.961733

9.835819

8.886958

8.500552

8.507343

9.18951

8.454321

8.216164

10.924354

8.572142

8.585453

9.042649

8.150703

8.15857

8.384713

8.582967

8.07021

8.413582

8.919578

8.601413

2012.05227

Jean-Fran\c{c}ois Fortin

Jean-Fran\c{c}ois Fortin, Wen-Jie Ma, Valentina Prilepina, Witold Skiba

Conformal Conserved Currents in Embedding Space

1+27 pages + appendixes

null

hep-th

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

We study conformal conserved currents in arbitrary irreducible representations of the Lorentz group using the embedding space formalism. With the help of the operator product expansion, we first show that conservation conditions can be fully investigated by considering only two- and three-point correlation functions. We then find an explicitly conformally-covariant differential operator in embedding space that implements conservation based on the standard position space operator product expansion differential operator $\partial_\mu$, although the latter does not uplift to embedding space covariantly. The differential operator in embedding space that imposes conservation is the same differential operator $\mathcal{D}_{ijA}$ used in the operator product expansion in embedding space. We provide several examples including conserved currents in irreducible representations that are not symmetric and traceless. With an eye on four-point conformal bootstrap equations for four conserved vector currents $\langle JJJJ\rangle$ and four energy-momentum tensors $\langle TTTT\rangle$, we mostly focus on conservation conditions for $\langle JJ\mathcal{O}\rangle$ and $\langle TT\mathcal{O}\rangle$. Finally, we reproduce and extend the consequences of conformal Ward identities at coincident points by determining three-point coefficients in terms of charges.

[ { "created": "Wed, 9 Dec 2020 18:47:00 GMT", "version": "v1" } ]

2020-12-10

[ [ "Fortin", "Jean-François", "" ], [ "Ma", "Wen-Jie", "" ], [ "Prilepina", "Valentina", "" ], [ "Skiba", "Witold", "" ] ]

We study conformal conserved currents in arbitrary irreducible representations of the Lorentz group using the embedding space formalism. With the help of the operator product expansion, we first show that conservation conditions can be fully investigated by considering only two- and three-point correlation functions. We then find an explicitly conformally-covariant differential operator in embedding space that implements conservation based on the standard position space operator product expansion differential operator $\partial_\mu$, although the latter does not uplift to embedding space covariantly. The differential operator in embedding space that imposes conservation is the same differential operator $\mathcal{D}_{ijA}$ used in the operator product expansion in embedding space. We provide several examples including conserved currents in irreducible representations that are not symmetric and traceless. With an eye on four-point conformal bootstrap equations for four conserved vector currents $\langle JJJJ\rangle$ and four energy-momentum tensors $\langle TTTT\rangle$, we mostly focus on conservation conditions for $\langle JJ\mathcal{O}\rangle$ and $\langle TT\mathcal{O}\rangle$. Finally, we reproduce and extend the consequences of conformal Ward identities at coincident points by determining three-point coefficients in terms of charges.

8.899331

8.624681

10.181643

8.428268

8.937097

8.886397

8.827149

8.674828

8.88705

11.080076

8.709033

8.551991

9.321586

8.621302

8.608742

8.662191

8.631797

8.81307

8.530668

9.10021

8.262504

hep-th/0702115

Roni Harnik

Raphael Bousso, Roni Harnik, Graham D. Kribs and Gilad Perez

Predicting the Cosmological Constant from the Causal Entropic Principle

38 pages, 9 figures, minor correction in Figure 2

Phys.Rev.D76:043513,2007

10.1103/PhysRevD.76.043513

YITP-SB-07-04, SLAC-PUB-12353

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

null

We compute the expected value of the cosmological constant in our universe from the Causal Entropic Principle. Since observers must obey the laws of thermodynamics and causality, the principle asserts that physical parameters are most likely to be found in the range of values for which the total entropy production within a causally connected region is maximized. Despite the absence of more explicit anthropic criteria, the resulting probability distribution turns out to be in excellent agreement with observation. In particular, we find that dust heated by stars dominates the entropy production, demonstrating the remarkable power of this thermodynamic selection criterion. The alternative approach - weighting by the number of "observers per baryon" - is less well-defined, requires problematic assumptions about the nature of observers, and yet prefers values larger than present experimental bounds.

[ { "created": "Thu, 15 Feb 2007 20:23:09 GMT", "version": "v1" }, { "created": "Mon, 16 Apr 2007 17:30:17 GMT", "version": "v2" }, { "created": "Sat, 15 Sep 2007 04:57:50 GMT", "version": "v3" } ]

2008-11-26

[ [ "Bousso", "Raphael", "" ], [ "Harnik", "Roni", "" ], [ "Kribs", "Graham D.", "" ], [ "Perez", "Gilad", "" ] ]

We compute the expected value of the cosmological constant in our universe from the Causal Entropic Principle. Since observers must obey the laws of thermodynamics and causality, the principle asserts that physical parameters are most likely to be found in the range of values for which the total entropy production within a causally connected region is maximized. Despite the absence of more explicit anthropic criteria, the resulting probability distribution turns out to be in excellent agreement with observation. In particular, we find that dust heated by stars dominates the entropy production, demonstrating the remarkable power of this thermodynamic selection criterion. The alternative approach - weighting by the number of "observers per baryon" - is less well-defined, requires problematic assumptions about the nature of observers, and yet prefers values larger than present experimental bounds.

10.186459

13.372957

12.47926

11.843838

13.008103

12.619429

12.805763

14.667643

12.171569

14.346299

11.318195

11.507763

11.575568

11.596346

11.867715

10.836762

11.545693

11.573148

11.812939

11.850795

10.898167

1004.5007

Kourosh Nozari

Kourosh Nozari and Siamak Akhshabi

Evolution of Perturbations in a Noncommutative Braneworld Inflation

13 pages, 3 figures

Research in Astronomy and Astrophys, 12 (2012) 625-635

10.1088/1674-4527/12/6/002

null

hep-th gr-qc

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

Following our previous work in noncommutative braneworld inflation (arXiv:0911.4418), in this paper we use the smeared, coherent state picture of noncommutativity to study evolution of perturbations in a noncommutative braneworld scenario. We show that in this setup, the early stage of the universe evolution has a phantom evolution with imaginary effective sound speed. We show also that the amplitude of perturbations in the commutative regime decays faster than the noncommutative regime with the same parameter values, and as a result we need smaller number of e-folds in the noncommutative regime to have a successful braneworld inflation.

[ { "created": "Wed, 28 Apr 2010 12:10:51 GMT", "version": "v1" } ]

2015-05-18

[ [ "Nozari", "Kourosh", "" ], [ "Akhshabi", "Siamak", "" ] ]

Following our previous work in noncommutative braneworld inflation (arXiv:0911.4418), in this paper we use the smeared, coherent state picture of noncommutativity to study evolution of perturbations in a noncommutative braneworld scenario. We show that in this setup, the early stage of the universe evolution has a phantom evolution with imaginary effective sound speed. We show also that the amplitude of perturbations in the commutative regime decays faster than the noncommutative regime with the same parameter values, and as a result we need smaller number of e-folds in the noncommutative regime to have a successful braneworld inflation.

8.058222

8.102517

7.178626

7.363995

7.817802

8.083469

7.74898

7.225492

7.587699

7.523435

7.673101

7.751875

7.479686

7.403069

7.668024

7.218651

7.762218

7.402953

7.634673

7.596074

7.275441

1905.02816

Ratul Mahanta

Ratul Mahanta, Anshuman Maharana

Crossing, Modular Averages and $N \leftrightarrow k $ in WZW Models

v2, typos corrected

null

10.1007/JHEP10(2019)061

null

hep-th

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

We consider the construction of genus zero correlators of $SU(N)_k$ WZW models involving two Kac Moody primaries in the fundamental and two in the anti-fundamental representation from modular averaging of the contribution of the vacuum conformal block. In cases where we find the orbit of the vacuum conformal block to be finite, modular averaging reproduces the exact result for the correlators. In other cases, we perform the modular averaging numerically, the results are in agreement with the exact answers. We find a close relationship between the modular averaging sums of the theories related by level rank duality. We establish a one to one correspondence between elements of the orbits of the vacuum conformal blocks of dual theories. The contributions of paired terms to their respective correlators are simply related. One consequence of this is that the ratio between the OPE coefficients associated with dual correlators can be obtained analytically without performing the sums involved in the modular averagings. The pairing of terms in the modular averaging sums for dual theories suggests an interesting connection between level rank duality and semi-classical holographic computations of the correlators in the theories.

[ { "created": "Tue, 7 May 2019 21:29:19 GMT", "version": "v1" }, { "created": "Tue, 4 Jun 2019 19:12:36 GMT", "version": "v2" } ]

2020-01-08

[ [ "Mahanta", "Ratul", "" ], [ "Maharana", "Anshuman", "" ] ]

We consider the construction of genus zero correlators of $SU(N)_k$ WZW models involving two Kac Moody primaries in the fundamental and two in the anti-fundamental representation from modular averaging of the contribution of the vacuum conformal block. In cases where we find the orbit of the vacuum conformal block to be finite, modular averaging reproduces the exact result for the correlators. In other cases, we perform the modular averaging numerically, the results are in agreement with the exact answers. We find a close relationship between the modular averaging sums of the theories related by level rank duality. We establish a one to one correspondence between elements of the orbits of the vacuum conformal blocks of dual theories. The contributions of paired terms to their respective correlators are simply related. One consequence of this is that the ratio between the OPE coefficients associated with dual correlators can be obtained analytically without performing the sums involved in the modular averagings. The pairing of terms in the modular averaging sums for dual theories suggests an interesting connection between level rank duality and semi-classical holographic computations of the correlators in the theories.

9.653038

10.523828

10.332273

9.454429

9.976905

10.512832

10.653473

9.918438

10.172802

11.388759

9.708362

9.613568

9.932599

9.500346

9.610459

9.419003

9.795397

9.539326

9.519183

10.00419

9.404347

1709.00995

Yuri Makeenko

J. Ambjorn and Y. Makeenko

The use of Pauli-Villars' regularization in string theory

1+22 pp

null

10.1142/S0217751X17501871

null

hep-th hep-lat

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

The proper-time regularization of bosonic string reproduces the results of canonical quantization in a special scaling limit where the length in target space has to be renormalized. We repeat the analysis for the Pauli-Villars regularization and demonstrate the universality of the results. In the mean-field approximation we compute the susceptibility anomalous dimension and show it equals 1/2. We discuss the relation with the previously known results on lattice strings.

[ { "created": "Mon, 4 Sep 2017 15:13:29 GMT", "version": "v1" } ]

2017-11-22

[ [ "Ambjorn", "J.", "" ], [ "Makeenko", "Y.", "" ] ]

The proper-time regularization of bosonic string reproduces the results of canonical quantization in a special scaling limit where the length in target space has to be renormalized. We repeat the analysis for the Pauli-Villars regularization and demonstrate the universality of the results. In the mean-field approximation we compute the susceptibility anomalous dimension and show it equals 1/2. We discuss the relation with the previously known results on lattice strings.

15.503063

14.466928

15.024977

12.8025

13.136144

13.585856

12.842211

13.952149

13.512834

15.10187

13.320871

13.714103

15.26762

13.964754

13.375276

13.551872

14.218103

13.644621

13.963908

14.821691

14.511948

hep-th/9311066

null

P. Gaete, J. Gamboa and I. Schmidt

Path Integral Approach to Two-Dimensional QCD in the Light-Front

13pp, Plain-TeX, Si-93-10, IF-UFRJ-93-13, USM-TH-63

Phys.Rev. D49 (1994) 5621-5624

10.1103/PhysRevD.49.5621

null

hep-th

null

Two-dimensional quantum cromodynamics in the light-front frame is studied following hamiltonian methods. The theory is quantized using the path integral formalism and an effective theory similar to the Nambu-Jona Lasinio model is obtained. Confinement in two dimensions is derived analyzing directly the constraints in the path integral.

[ { "created": "Wed, 10 Nov 1993 16:52:26 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gaete", "P.", "" ], [ "Gamboa", "J.", "" ], [ "Schmidt", "I.", "" ] ]

Two-dimensional quantum cromodynamics in the light-front frame is studied following hamiltonian methods. The theory is quantized using the path integral formalism and an effective theory similar to the Nambu-Jona Lasinio model is obtained. Confinement in two dimensions is derived analyzing directly the constraints in the path integral.

14.641045

11.960886

13.136112

11.727324

11.956646

12.965498

13.361526

11.687654

12.100852

12.974581

11.986216

12.193565

12.28165

12.051653

12.807579

12.4298

12.506641

12.368299

12.437952

12.484073

12.219193

hep-th/0307194

Carlos A. R. Herdeiro

C.A.R.Herdeiro

The Kerr-Newman-Godel Black Hole

12 pages, LaTeX, no figures; v2: one reference added, very minor changes; to appear in CQG

Class.Quant.Grav. 20 (2003) 4891-4900

10.1088/0264-9381/20/22/013

null

hep-th gr-qc

null

By applying a set of Hassan-Sen transformations and string dualities to the Kerr-Godel solution of minimal D=5 supergravity we derive a four parameter family of five dimensional solutions in type II string theory. They describe rotating, charged black holes in a rotating background. For zero background rotation, the solution is D=5 Kerr-Newman; for zero charge it is Kerr-Godel. In a particular extremal limit the solution describes an asymptotically Godel BMPV black hole.

[ { "created": "Sun, 20 Jul 2003 21:06:20 GMT", "version": "v1" }, { "created": "Wed, 24 Sep 2003 12:20:15 GMT", "version": "v2" } ]

2009-11-10

[ [ "Herdeiro", "C. A. R.", "" ] ]

By applying a set of Hassan-Sen transformations and string dualities to the Kerr-Godel solution of minimal D=5 supergravity we derive a four parameter family of five dimensional solutions in type II string theory. They describe rotating, charged black holes in a rotating background. For zero background rotation, the solution is D=5 Kerr-Newman; for zero charge it is Kerr-Godel. In a particular extremal limit the solution describes an asymptotically Godel BMPV black hole.

13.381534

11.848801

11.910605

10.303484

13.154083

11.84174

11.286859

12.550151

11.926367

14.838531

10.899573

10.630932

11.047648

10.397688

10.433269

11.01284

10.681756

10.732607

10.345666

11.864424

10.545759

1603.09063

Alessio Marrani

Rita Fioresi, Emanuele Latini, Alessio Marrani

Klein and Conformal Superspaces, Split Algebras and Spinor Orbits

1+31 pages; v2: one Ref. added, and other minor changes. To be published in Reviews in Mathematical Physics (2017)

null

10.1142/S0129055X17500118

DFPD/2016/TH/1

hep-th math-ph math.MP

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

We discuss $\mathcal{N}=1$ Klein and Klein-Conformal superspaces in $D=(2,2)$ space-time dimensions, realizing them in terms of their functor of points over the split composition algebra $\mathbb{C}_{s}$. We exploit the observation that certain split form of orthogonal groups can be realized in terms of matrix groups over split composition algebras; this leads to a natural interpretation of the the sections of the spinor bundle in the critical split dimensions $D=4$, $6$ and $10$ as $\mathbb{C}_{s}^{2}$, $\mathbb{H}_{s}^{2}$ and $\mathbb{O}_{s}^{2}$, respectively. Within this approach, we also analyze the non-trivial spinor orbit stratification that is relevant in our construction since it affects the Klein-Conformal superspace structure.

[ { "created": "Wed, 30 Mar 2016 07:45:30 GMT", "version": "v1" }, { "created": "Wed, 19 Apr 2017 17:23:52 GMT", "version": "v2" } ]

2017-05-24

[ [ "Fioresi", "Rita", "" ], [ "Latini", "Emanuele", "" ], [ "Marrani", "Alessio", "" ] ]

We discuss $\mathcal{N}=1$ Klein and Klein-Conformal superspaces in $D=(2,2)$ space-time dimensions, realizing them in terms of their functor of points over the split composition algebra $\mathbb{C}_{s}$. We exploit the observation that certain split form of orthogonal groups can be realized in terms of matrix groups over split composition algebras; this leads to a natural interpretation of the the sections of the spinor bundle in the critical split dimensions $D=4$, $6$ and $10$ as $\mathbb{C}_{s}^{2}$, $\mathbb{H}_{s}^{2}$ and $\mathbb{O}_{s}^{2}$, respectively. Within this approach, we also analyze the non-trivial spinor orbit stratification that is relevant in our construction since it affects the Klein-Conformal superspace structure.

9.809726

10.961388

10.63383

10.225666

11.357464

11.709685

10.261017

10.383788

10.115511

11.338455

9.965711

9.655399

10.010966

9.250597

9.185901

9.263845

9.054666

9.51928

8.977629

10.060337

8.831711

1812.00322

Shek Kit Chu

Shek Kit Chu, Yi Wang, Siyi Zhou

Operator Method and Recursion Relations for Inflationary Correlator

17 pages, 15 figures

null

10.1088/1475-7516/2019/03/042

null

hep-th astro-ph.CO gr-qc

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

We develop the systematics for applying operators on Minkowski correlation functions to get the inflationary correlation functions. Simple structures and recursion relations are known for Minkowski correlation functions. Using the operator technique, various novel recursion relations for inflationary correlation functions are obtained.

[ { "created": "Sun, 2 Dec 2018 04:17:38 GMT", "version": "v1" } ]

2019-04-10

[ [ "Chu", "Shek Kit", "" ], [ "Wang", "Yi", "" ], [ "Zhou", "Siyi", "" ] ]

We develop the systematics for applying operators on Minkowski correlation functions to get the inflationary correlation functions. Simple structures and recursion relations are known for Minkowski correlation functions. Using the operator technique, various novel recursion relations for inflationary correlation functions are obtained.

21.046146

16.583168

20.079212

16.844576

17.593044

17.099188

20.800871

15.221076

16.817278

18.683987

16.699045

17.663317

18.774286

17.215029

18.775101

18.099232

16.885378

16.930971

16.706181

17.884361

16.916119

1304.6724

Takahiro Nishinaka

Takahiro Nishinaka, Satoshi Yamaguchi and Yutaka Yoshida

Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities

72 pages, 44 figures

null

10.1007/JHEP05(2014)139

null

hep-th math.AG math.CO

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

We construct a two-dimensional crystal melting model which reproduces the BPS index of D2-D0 states bound to a non-compact D4-brane on an arbitrary toric Calabi-Yau singularity. The crystalline structure depends on the toric divisor wrapped by the D4-brane. The molten crystals are in one-to-one correspondence with the torus fixed points of the moduli space of the quiver gauge theory on D-branes. The F- and D-term constraints of the gauge theory are regarded as a generalization of the ADHM constraints on instantons. We also show in several examples that our model is consistent with the wall-crossing formula for the BPS index.

[ { "created": "Wed, 24 Apr 2013 20:00:03 GMT", "version": "v1" } ]

2015-06-15

[ [ "Nishinaka", "Takahiro", "" ], [ "Yamaguchi", "Satoshi", "" ], [ "Yoshida", "Yutaka", "" ] ]

We construct a two-dimensional crystal melting model which reproduces the BPS index of D2-D0 states bound to a non-compact D4-brane on an arbitrary toric Calabi-Yau singularity. The crystalline structure depends on the toric divisor wrapped by the D4-brane. The molten crystals are in one-to-one correspondence with the torus fixed points of the moduli space of the quiver gauge theory on D-branes. The F- and D-term constraints of the gauge theory are regarded as a generalization of the ADHM constraints on instantons. We also show in several examples that our model is consistent with the wall-crossing formula for the BPS index.

7.403924

6.563394

9.372752

6.348954

6.429419

5.87982

6.374608

6.325354

6.468713

9.754012

6.14442

6.727398

8.268065

6.727204

6.693367

6.93569

7.071019

6.90631

6.586971

7.861434

6.573991

1304.1155

Dimitri Skliros

Dimitri P. Skliros, Edmund J. Copeland and Paul M. Saffin

Duality and Decay of Macroscopic F-Strings

5 pages

Phys. Rev. Lett. 111, 041601 (2013)

10.1103/PhysRevLett.111.041601

null

hep-th

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

We study the decay of fundamental string loops of arbitrary size L/min(n,m)>>\sqrt{\alpha'}, labelled by (n,m;\lambda_n,\bar{\lambda}_m), where n,m correspond to left- and right-mover harmonics and \lambda_n,\bar{\lambda}_m to polarisation tensors, and find that a description in terms of the recent coherent vertex operator construction of Hindmarsh and Skliros is computationally very efficient. We primarily show that the decay rates and mass shifts of vertex operators (n,m;\lambda_n,\bar{\lambda}_m) and their "duals" (n,m;\lambda_n,\bar{\lambda}_m^*) are equal to leading order in the string coupling, implying for instance that decay rates of epicycloids equal those of hypocycloids. We then compute the power and decay rates associated to massless IR radiation for the trajectory (1,1;\lambda_1,\bar{\lambda}_1), and find that it is precisely reproduced by the low energy effective theory of Dabholkar and Harvey. Guided by this correspondence, we conjecture the result for arbitrary trajectories (n,m;\lambda_n,\bar{\lambda}_m) and discover a curious relation between gravitational and axion plus dilaton radiation. It is now possible to start exploring string evolution in regimes where a low energy effective description is less useful, such as in the vicinity of cusps.

[ { "created": "Wed, 3 Apr 2013 20:00:01 GMT", "version": "v1" }, { "created": "Wed, 24 Jul 2013 10:23:01 GMT", "version": "v2" } ]

2013-07-25

[ [ "Skliros", "Dimitri P.", "" ], [ "Copeland", "Edmund J.", "" ], [ "Saffin", "Paul M.", "" ] ]

We study the decay of fundamental string loops of arbitrary size L/min(n,m)>>\sqrt{\alpha'}, labelled by (n,m;\lambda_n,\bar{\lambda}_m), where n,m correspond to left- and right-mover harmonics and \lambda_n,\bar{\lambda}_m to polarisation tensors, and find that a description in terms of the recent coherent vertex operator construction of Hindmarsh and Skliros is computationally very efficient. We primarily show that the decay rates and mass shifts of vertex operators (n,m;\lambda_n,\bar{\lambda}_m) and their "duals" (n,m;\lambda_n,\bar{\lambda}_m^*) are equal to leading order in the string coupling, implying for instance that decay rates of epicycloids equal those of hypocycloids. We then compute the power and decay rates associated to massless IR radiation for the trajectory (1,1;\lambda_1,\bar{\lambda}_1), and find that it is precisely reproduced by the low energy effective theory of Dabholkar and Harvey. Guided by this correspondence, we conjecture the result for arbitrary trajectories (n,m;\lambda_n,\bar{\lambda}_m) and discover a curious relation between gravitational and axion plus dilaton radiation. It is now possible to start exploring string evolution in regimes where a low energy effective description is less useful, such as in the vicinity of cusps.

10.073499

11.453236

11.37184

10.394017

10.607133

10.699661

10.747572

10.683997

10.236614

11.285976

9.965487

10.167312

10.096724

9.95397

10.124684

9.921378

10.112355

10.00545

9.882561

10.051124

9.888807

1707.04128

Aleksander Garus

Untwisting the symmetries of $\beta$-deformed Super-Yang--Mills

6 pages + Appendices, references updated

null

10.1007/JHEP10(2017)007

null

hep-th

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

We demonstrate that the planar real-$\beta$-deformed Super-Yang--Mills theory possesses an infinitely-dimensional Yangian symmetry algebra and thus is classically integrable. This is achieved by the introduction of the twisted coproduct which allows us to lift the apparent $\mathcal{N}=1$ supersymmetry first to the full $\mathcal{N}=4$ symmetry of the parent $\mathcal{N} = 4$ SYM theory, and subsequently to its Yangian.

[ { "created": "Thu, 13 Jul 2017 13:56:34 GMT", "version": "v1" }, { "created": "Tue, 25 Jul 2017 09:03:58 GMT", "version": "v2" } ]

2017-10-25

[ [ "Garus", "Aleksander", "" ] ]

We demonstrate that the planar real-$\beta$-deformed Super-Yang--Mills theory possesses an infinitely-dimensional Yangian symmetry algebra and thus is classically integrable. This is achieved by the introduction of the twisted coproduct which allows us to lift the apparent $\mathcal{N}=1$ supersymmetry first to the full $\mathcal{N}=4$ symmetry of the parent $\mathcal{N} = 4$ SYM theory, and subsequently to its Yangian.

7.169815

6.663312

8.087891

6.39498

6.816119

6.412668

6.288114

6.429055

6.546063

7.132378

6.770378

6.45843

6.59433

6.287011

6.152142

6.541118

6.35462

6.36892

6.144214

6.654785

6.125741

1310.5078

Dalimil Mazac

Davide Gaiotto, Dalimil Mazac, Miguel F. Paulos

Bootstrapping the 3d Ising twist defect

24+8 pages, 12 figures, references added

null

10.1007/JHEP03(2014)100

null

hep-th cond-mat.stat-mech

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

Recent numerical results point to the existence of a conformally invariant twist defect in the critical 3d Ising model. In this note we show that this fact is supported by both epsilon expansion and conformal bootstrap calculations. We find that our results are in good agreement with the numerical data. We also make new predictions for operator dimensions and OPE coefficients from the bootstrap approach. In the process we derive universal bounds on one-dimensional conformal field theories and conformal line defects.

[ { "created": "Fri, 18 Oct 2013 16:26:21 GMT", "version": "v1" }, { "created": "Sat, 26 Oct 2013 20:32:17 GMT", "version": "v2" } ]

2015-06-17

[ [ "Gaiotto", "Davide", "" ], [ "Mazac", "Dalimil", "" ], [ "Paulos", "Miguel F.", "" ] ]

Recent numerical results point to the existence of a conformally invariant twist defect in the critical 3d Ising model. In this note we show that this fact is supported by both epsilon expansion and conformal bootstrap calculations. We find that our results are in good agreement with the numerical data. We also make new predictions for operator dimensions and OPE coefficients from the bootstrap approach. In the process we derive universal bounds on one-dimensional conformal field theories and conformal line defects.

9.065042

7.954756

9.927876

7.093947

8.488339

7.961804

7.820945

8.203731

8.082335

9.914544

8.048792

8.125181

8.850364

8.02423

8.221

8.014018

7.967538

7.979413

8.135201

9.55515

8.071193

hep-th/0502215

Carlos Nunez

R. Jackiw, Carlos Nunez and S.-Y. Pi

Quantum Relaxation of the Cosmological Constant

Einstein Memorial Issue, Physics Letters A. Presented at the Kummerfest, Vienna, January 2005, 5 pages. Latex

Phys.Lett. A347 (2005) 47-50

10.1016/j.physleta.2005.04.020

BUHEP-05-04. MIT-CPT 3609

hep-th gr-qc hep-ph

null

We describe a mechanism that drives the Cosmological Constant to zero value. This mechanism is based on the quantum triviality of $\lambda \phi^4$ field theory and works in $AdS$ space. Some subtleties of the model are discussed.

[ { "created": "Wed, 23 Feb 2005 21:01:16 GMT", "version": "v1" } ]

2010-04-05

[ [ "Jackiw", "R.", "" ], [ "Nunez", "Carlos", "" ], [ "Pi", "S. -Y.", "" ] ]

We describe a mechanism that drives the Cosmological Constant to zero value. This mechanism is based on the quantum triviality of $\lambda \phi^4$ field theory and works in $AdS$ space. Some subtleties of the model are discussed.

10.112747

8.621464

8.698298

8.270717

8.782749

8.464318

8.924453

8.345737

9.180641

9.199039

8.382861

8.108529

8.37385

8.217925

8.683525

8.424988

8.277998

8.3792

8.29423

8.529508

8.101974

1301.5669

Naser Ahmadiniaz

N. Ahmadiniaz, A. Huet, A. Raya and C. Schubert

QED effective action for an O(2)xO(3) symmetric field in the full mass range

6 pages, 3 figures, Poster presented by N. Ahmadiniaz at the "XV Mexican School on Particles and Fields", September 6-15, 2012, Puebla, Mexico

null

10.1088/1742-6596/468/1/012008

null

hep-th hep-ph

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

An interesting class of background field configurations in QED are the O(2)xO(3) symmetric fields. Those backgrounds have some instanton-like properties and yield a one-loop effective action that is highly nontrivial but amenable to numerical calculation, for both scalar and spinor QED. Here we use the recently developed "partial-wave-cutoff method" for a numerical analysis of both effective actions in the full mass range. In particular, at large mass we are able to match the asymptotic behavior of the physically renormalized effective action against the leading two mass levels of the inverse mass (or heat kernel) expansion. At small mass we obtain good numerical results even in the massless case for the appropriately (unphysically) renormalized effective action after the removal of the chiral anomaly term through a small radial cutoff factor. In particular, we show that the effective action after this removal remains finite in the massless limit, which also provides indirect support for M. Fry's hypothesis that the QED effective action in this limit is dominated by the chiral anomaly term.

[ { "created": "Wed, 23 Jan 2013 23:07:03 GMT", "version": "v1" } ]

2015-06-12

[ [ "Ahmadiniaz", "N.", "" ], [ "Huet", "A.", "" ], [ "Raya", "A.", "" ], [ "Schubert", "C.", "" ] ]

An interesting class of background field configurations in QED are the O(2)xO(3) symmetric fields. Those backgrounds have some instanton-like properties and yield a one-loop effective action that is highly nontrivial but amenable to numerical calculation, for both scalar and spinor QED. Here we use the recently developed "partial-wave-cutoff method" for a numerical analysis of both effective actions in the full mass range. In particular, at large mass we are able to match the asymptotic behavior of the physically renormalized effective action against the leading two mass levels of the inverse mass (or heat kernel) expansion. At small mass we obtain good numerical results even in the massless case for the appropriately (unphysically) renormalized effective action after the removal of the chiral anomaly term through a small radial cutoff factor. In particular, we show that the effective action after this removal remains finite in the massless limit, which also provides indirect support for M. Fry's hypothesis that the QED effective action in this limit is dominated by the chiral anomaly term.

14.183409

12.984933

14.487002

12.607653

12.316915

13.186424

13.970919

12.763486

12.038927

15.485648

12.381045

13.046736

12.833408

12.83908

12.696856

12.844318

12.848309

13.192972

12.908123

13.326177

12.878263

hep-th/9603032

null

Rashmi Ray, Joan Soto

Multiple Edges of a Quantum Hall System in a Strong Electric Field

21 pages, Plain TeX, No Figures

null

10.1103/PhysRevB.54.10709

UB-ECM-PF 96/1

hep-th cond-mat

null

In this article we show that if the electrons in a quantum Hall sample are subjected to a constant electric field in the plane of the material, comparable in magnitude to the background magnetic field on the system of electrons, a multiplicity of edge states localised in different regions of space is produced in the sample. The actions governing the dynamics of these edge states are obtained starting from the well-known Schr\"odinger field theory for a system of non-relativistic electrons, where on top of the constant background electric and magnetic fields, the electrons are further subject to slowly varying weak electromagnetic fields. In the regions between the edges, dubbed as the "bulk", the fermions can be integrated out entirely and the dynamics expressed in terms of a local effective action involving the slowly varying electromagnetic potentials. It is further shown how the "bulk" action is gauge non-invariant in a particular way and how the edge states conspire to restore the U(1) electromagnetic gauge invariance of the system.

[ { "created": "Wed, 6 Mar 1996 17:56:04 GMT", "version": "v1" } ]

2009-10-30

[ [ "Ray", "Rashmi", "" ], [ "Soto", "Joan", "" ] ]

In this article we show that if the electrons in a quantum Hall sample are subjected to a constant electric field in the plane of the material, comparable in magnitude to the background magnetic field on the system of electrons, a multiplicity of edge states localised in different regions of space is produced in the sample. The actions governing the dynamics of these edge states are obtained starting from the well-known Schr\"odinger field theory for a system of non-relativistic electrons, where on top of the constant background electric and magnetic fields, the electrons are further subject to slowly varying weak electromagnetic fields. In the regions between the edges, dubbed as the "bulk", the fermions can be integrated out entirely and the dynamics expressed in terms of a local effective action involving the slowly varying electromagnetic potentials. It is further shown how the "bulk" action is gauge non-invariant in a particular way and how the edge states conspire to restore the U(1) electromagnetic gauge invariance of the system.

10.063109

10.121518

10.805002

9.476941

9.49649

9.194196

9.26921

9.418221

9.233315

10.405473

9.290011

9.922952

9.807977

9.55618

9.25454

9.298512

9.360363

9.263835

9.417167

9.659093

9.52351

hep-th/9811204

Marco Fabbrichesi

M. Fabbrichesi

Graviton scattering in matrix theory and supergravity

Talk given at the TMR meeting, Kerkyria, September 1998, to appear in the proceedings

null

10.1007/BFb0104252

null

hep-th

null

I briefly review recent work on the comparison between two and three graviton scattering in supergravity and matrix theory

[ { "created": "Tue, 24 Nov 1998 10:18:46 GMT", "version": "v1" } ]

2009-10-31

[ [ "Fabbrichesi", "M.", "" ] ]

I briefly review recent work on the comparison between two and three graviton scattering in supergravity and matrix theory

34.096096

18.63723

20.182089

16.193134

16.540594

18.072252

15.712465

16.457947

13.785604

18.079613

17.811375

17.762245

19.607281

17.461048

16.76302

17.62826

16.405943

19.779219

17.99888

18.368135

17.919504

hep-th/0601168

Chris Austin

A BPHZ convergence proof in Euclidean position space

LaTeX2e transcription of 1993 paper, with preface and references added. 252 pages. Needs amsfonts

null

hep-th

null

Two BPHZ convergence theorems are proved directly in Euclidean position space, without exponentiating the propagators, making use of the Cluster Convergence Theorem presented previously. The first theorem proves the absolute convergence of arbitrary BPHZ-renormalized Feynman diagrams, when counterterms are allowed for one-line-reducible subdiagrams, as well as for one-line-irreducible subdiagrams. The second theorem proves the conditional convergence of arbitrary BPHZ-renormalized Feynman diagrams, when counterterms are allowed only for one-line-irreducible subdiagrams. Although the convergence in this case is only conditional, there is only one natural way to approach the limit, namely from propagators smoothly regularized at short distances, so that the integrations by parts needed to reach an absolutely convergent integrand can be carried out, without picking up short-distance surface terms. Neither theorem requires translation invariance, but the second theorem assumes a much weaker property, called "translation smoothness". Both theorems allow the propagators in the counterterms to differ, at long distances, from the propagators in the direct terms. For massless theories, this makes it possible to eliminate all the long-distance divergences from the counterterms, without altering the propagators in the direct terms. Massless theories can thus be studied directly, without introducing a regulator mass and taking the limit as it tends to zero, and without infra-red subtractions.

[ { "created": "Mon, 23 Jan 2006 20:58:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Austin", "Chris", "" ] ]

Two BPHZ convergence theorems are proved directly in Euclidean position space, without exponentiating the propagators, making use of the Cluster Convergence Theorem presented previously. The first theorem proves the absolute convergence of arbitrary BPHZ-renormalized Feynman diagrams, when counterterms are allowed for one-line-reducible subdiagrams, as well as for one-line-irreducible subdiagrams. The second theorem proves the conditional convergence of arbitrary BPHZ-renormalized Feynman diagrams, when counterterms are allowed only for one-line-irreducible subdiagrams. Although the convergence in this case is only conditional, there is only one natural way to approach the limit, namely from propagators smoothly regularized at short distances, so that the integrations by parts needed to reach an absolutely convergent integrand can be carried out, without picking up short-distance surface terms. Neither theorem requires translation invariance, but the second theorem assumes a much weaker property, called "translation smoothness". Both theorems allow the propagators in the counterterms to differ, at long distances, from the propagators in the direct terms. For massless theories, this makes it possible to eliminate all the long-distance divergences from the counterterms, without altering the propagators in the direct terms. Massless theories can thus be studied directly, without introducing a regulator mass and taking the limit as it tends to zero, and without infra-red subtractions.

7.941026

8.687381

8.057895

7.638755

7.976979

8.315018

8.581919

8.399538

7.581043

8.468731

7.730278

7.676966

7.512745

7.551514

7.657058

7.590972

7.624199

7.60121

7.355094

7.758082

7.449202

hep-th/9710071

Andrea Cappelli

Andrea Cappelli and Filippo Colomo

Solving the Frustrated Spherical Model with q-Polynomials

Latex, 14 pages, 2 eps figures

J.Phys.A31:3141-3151,1998

10.1088/0305-4470/31/14/004

preprint DFF 289/9/97

hep-th cond-mat

null

We analyse the Spherical Model with frustration induced by an external gauge field. In infinite dimensions, this has been recently mapped onto a problem of q-deformed oscillators, whose real parameter q measures the frustration. We find the analytic solution of this model by suitably representing the q-oscillator algebra with q-Hermite polynomials. We also present a related Matrix Model which possesses the same diagrammatic expansion in the planar approximation. Its interaction potential is oscillating at infinity with period log(q), and may lead to interesting metastability phenomena beyond the planar approximation. The Spherical Model is similarly q-periodic, but does not exhibit such phenomena: actually its low-temperature phase is not glassy and depends smoothly on q.

[ { "created": "Wed, 8 Oct 1997 17:14:41 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cappelli", "Andrea", "" ], [ "Colomo", "Filippo", "" ] ]

We analyse the Spherical Model with frustration induced by an external gauge field. In infinite dimensions, this has been recently mapped onto a problem of q-deformed oscillators, whose real parameter q measures the frustration. We find the analytic solution of this model by suitably representing the q-oscillator algebra with q-Hermite polynomials. We also present a related Matrix Model which possesses the same diagrammatic expansion in the planar approximation. Its interaction potential is oscillating at infinity with period log(q), and may lead to interesting metastability phenomena beyond the planar approximation. The Spherical Model is similarly q-periodic, but does not exhibit such phenomena: actually its low-temperature phase is not glassy and depends smoothly on q.

17.638905

17.069565

19.357214

17.112951

19.890039

17.306099

18.899609

18.360258

17.702394

21.422871

16.693905

16.440813

17.713596

17.098413

17.336887

16.730227

16.498877

16.553278

16.733313

17.762594

16.243652

0907.4229

Franziska Synatschke

Franziska Synatschke, Holger Gies and Andreas Wipf

Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models

22 pages, 10 figures, typos corrected, to be published in Phys. Rev. D

Phys.Rev.D80:085007,2009

10.1103/PhysRevD.80.085007

null

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

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

We study the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge. Our work is based on the functional renormalization group formulated in terms of a manifestly off-shell supersymmetric flow equation for the effective action. Within the derivative expansion, we solve the flow of the superpotential also including the anomalous dimension of the superfield. The models exhibit a surprisingly rich fixed-point structure with a discrete number of fixed-point superpotentials. Each fixed-point superpotential is characterized by its number of nodes and by the number of RG relevant directions. In limiting cases, we find periodic superpotentials and potentials which confine the fields to a compact target space. The maximally IR-attractive fixed point has one relevant direction, the tuning of which distinguishes between supersymmetric and broken phases. For the Wess-Zumino model defined near the Gaussian fixed point, we determine the phase diagram and compute the corresponding ground-state masses.

[ { "created": "Fri, 24 Jul 2009 07:13:38 GMT", "version": "v1" }, { "created": "Mon, 28 Sep 2009 13:55:20 GMT", "version": "v2" } ]

2009-11-06

[ [ "Synatschke", "Franziska", "" ], [ "Gies", "Holger", "" ], [ "Wipf", "Andreas", "" ] ]

We study the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge. Our work is based on the functional renormalization group formulated in terms of a manifestly off-shell supersymmetric flow equation for the effective action. Within the derivative expansion, we solve the flow of the superpotential also including the anomalous dimension of the superfield. The models exhibit a surprisingly rich fixed-point structure with a discrete number of fixed-point superpotentials. Each fixed-point superpotential is characterized by its number of nodes and by the number of RG relevant directions. In limiting cases, we find periodic superpotentials and potentials which confine the fields to a compact target space. The maximally IR-attractive fixed point has one relevant direction, the tuning of which distinguishes between supersymmetric and broken phases. For the Wess-Zumino model defined near the Gaussian fixed point, we determine the phase diagram and compute the corresponding ground-state masses.

8.602049

7.930603

10.203887

7.892937

9.100398

8.64983

8.082335

8.133138

7.924953

9.190407

8.408623

8.120354

8.732184

8.278881

8.188211

8.085025

8.213514

8.223685

8.139685

9.09857

8.328517

hep-th/9909217

null

C.R. Hagen

Soluble field theory with a massless gauge invariant limit

7 pages, revtex, no figures

Phys.Rev. D61 (2000) 085004

10.1103/PhysRevD.61.085004

null

hep-th quant-ph

null

It is shown that there exists a soluble four parameter model in (1+1) dimensions all of whose propagators can be determined in terms of the corresponding known propagators of the vector coupling theory. Unlike the latter case, however, the limit of zero bare mass is nonsingular and yields a nontrivial theory with a rigorously unbroken gauge invariance.

[ { "created": "Wed, 29 Sep 1999 18:22:19 GMT", "version": "v1" } ]

2009-10-31

[ [ "Hagen", "C. R.", "" ] ]

It is shown that there exists a soluble four parameter model in (1+1) dimensions all of whose propagators can be determined in terms of the corresponding known propagators of the vector coupling theory. Unlike the latter case, however, the limit of zero bare mass is nonsingular and yields a nontrivial theory with a rigorously unbroken gauge invariance.

14.02476

12.007868

11.45427

11.525332

12.029672

11.319262

10.527939

11.021273

10.946838

11.767015

11.211384

11.219588

10.95437

11.112003

11.211975

11.201552

11.256773

10.924638

11.216445

11.541661

10.617274

hep-th/0110143

Noureddine Mohammedi

B. Abdesselam and N. Mohammedi

Brane World Cosmology with Gauss-Bonnet Interaction

9 pages, revtex style

Phys.Rev. D65 (2002) 084018

10.1103/PhysRevD.65.084018

null

hep-th gr-qc

null

We study a Randall-Sundrum model modified by a Gauss-Bonnet interaction term. We consider, in particular, a Friedmann-Robertson-Walker metric on the brane and analyse the resulting cosmological scenario. It is shown that the usual Friedmann equations are recovered on the brane. The equation of state relating the enery density and the pressure is uniquely determined by the matching conditions. A cosmological solution with negative pressure is found.

[ { "created": "Tue, 16 Oct 2001 15:28:47 GMT", "version": "v1" } ]

2009-11-07

[ [ "Abdesselam", "B.", "" ], [ "Mohammedi", "N.", "" ] ]

We study a Randall-Sundrum model modified by a Gauss-Bonnet interaction term. We consider, in particular, a Friedmann-Robertson-Walker metric on the brane and analyse the resulting cosmological scenario. It is shown that the usual Friedmann equations are recovered on the brane. The equation of state relating the enery density and the pressure is uniquely determined by the matching conditions. A cosmological solution with negative pressure is found.

7.262508

5.972363

6.740386

6.309331

6.448727

6.629607

6.453071

6.380148

6.597898

6.599615

6.408815

6.307424

6.422162

6.340713

6.358948

6.292397

6.502498

6.33389

6.400894

6.224922

6.463238

0907.2968

Toshiya Imoto

Toshiya Imoto, Tadakatsu Sakai, Shigeki Sugimoto

O(N) and USp(N) QCD from String Theory

20 pages, 2 figures, v2: discussions of flux tubes clarified, references added, v3: minor changes, final version published in PTP

Prog.Theor.Phys.122:1433-1453,2010

10.1143/PTP.122.1433

IPMU 09-0085

hep-th

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

We propose a holographic dual of large N_c QCD with the gauge group O(N_c) and USp(N_c) and N_f flavors of massless quarks. This is constructed by adding O6-planes to an intersecting D4-D8 system in type IIA superstring theory. The holographic dual description is formulated in the Witten's D4-brane background with D8-branes and O6-planes embedded in it as probes. The D4-brane background gives rise to a smooth interpolation of D8-anti-D8 pairs and an O6-anti-O6 pair. We show that the resultant brane configuration explains geometrically the flavor symmetry breaking patterns in O(N_c) and USp(N_c) QCD that are caused by quark bilinear condensates. We next discuss that baryons can be realized as D4-anti-D4 pairs wrapped on S^4 that intersect with the O6-plane. By analyzing the tachyons on it, we reproduce the stability conditions of the baryons that are expected from the gauge theory viewpoint. The stable baryon configurations are classified systematically by using K-theory. We also give a similar analysis for the flux tubes and again reproduce the results that are consistent with QCD.

[ { "created": "Fri, 17 Jul 2009 02:26:37 GMT", "version": "v1" }, { "created": "Tue, 8 Sep 2009 09:22:04 GMT", "version": "v2" }, { "created": "Tue, 5 Jan 2010 05:55:45 GMT", "version": "v3" } ]

2011-03-17

[ [ "Imoto", "Toshiya", "" ], [ "Sakai", "Tadakatsu", "" ], [ "Sugimoto", "Shigeki", "" ] ]

We propose a holographic dual of large N_c QCD with the gauge group O(N_c) and USp(N_c) and N_f flavors of massless quarks. This is constructed by adding O6-planes to an intersecting D4-D8 system in type IIA superstring theory. The holographic dual description is formulated in the Witten's D4-brane background with D8-branes and O6-planes embedded in it as probes. The D4-brane background gives rise to a smooth interpolation of D8-anti-D8 pairs and an O6-anti-O6 pair. We show that the resultant brane configuration explains geometrically the flavor symmetry breaking patterns in O(N_c) and USp(N_c) QCD that are caused by quark bilinear condensates. We next discuss that baryons can be realized as D4-anti-D4 pairs wrapped on S^4 that intersect with the O6-plane. By analyzing the tachyons on it, we reproduce the stability conditions of the baryons that are expected from the gauge theory viewpoint. The stable baryon configurations are classified systematically by using K-theory. We also give a similar analysis for the flux tubes and again reproduce the results that are consistent with QCD.

7.478056

6.898903

7.759938

6.820423

6.955391

7.084126

6.762132

6.643099

6.807972

8.992954

7.045436

7.197211

7.521141

7.093065

6.908939

7.143694

7.039734

6.989683

7.043687

7.926228

7.114771

hep-th/0401013

Modeso

Leonardo Modesto

Tree Level Gravity - Scalar Matter Interactions in Analogy with Fermi Theory of Weak Interactions using Only a Massive Vector Field

7 pages Latex

Gen.Rel.Grav.37:207-213,2005

10.1007/s10714-005-0009-z

null

hep-th

null

In this paper we work in perturbative Quantum Gravity coupled to Scalar Matter at tree level and we introduce a new effective model in analogy with the Fermi theory of weak interaction and in relation with a previous work where we have studied only the gravity and its self-interaction. This is an extension of the I.T.B model (Intermediate-Tensor-Boson) for gravity also to gravitational interacting scalar matter. We show that in a particular gauge the infinite series of interactions containing "n" gravitons and two scalars could be rewritten in terms of only two Lagrangians containing a massive field, the graviton and, obviously, the scalar field. Using the S-matrix we obtain that the low energy limit of the amplitude reproduce the local Lagrangian for the scalar matter coupled to gravity.

[ { "created": "Sun, 4 Jan 2004 21:35:10 GMT", "version": "v1" } ]

2011-07-19

[ [ "Modesto", "Leonardo", "" ] ]

In this paper we work in perturbative Quantum Gravity coupled to Scalar Matter at tree level and we introduce a new effective model in analogy with the Fermi theory of weak interaction and in relation with a previous work where we have studied only the gravity and its self-interaction. This is an extension of the I.T.B model (Intermediate-Tensor-Boson) for gravity also to gravitational interacting scalar matter. We show that in a particular gauge the infinite series of interactions containing "n" gravitons and two scalars could be rewritten in terms of only two Lagrangians containing a massive field, the graviton and, obviously, the scalar field. Using the S-matrix we obtain that the low energy limit of the amplitude reproduce the local Lagrangian for the scalar matter coupled to gravity.

14.416837

15.171046

14.15272

14.047392

14.907866

14.694364

15.032068

14.185992

14.564826

15.907063

13.699318

13.56545

13.552405

13.25868

13.903043

14.161561

13.996274

13.783513

13.571752

13.840727

13.56709

2108.10166

Yuan Zhong

Yuan Zhong, Fei-Yu Li and Xu-Dong Liu

K-field kinks in two-dimensional dilaton gravity

8 pages, 1 figure, accepted for publication by Phys. Letts. B

null

10.1016/j.physletb.2021.136716

null

hep-th gr-qc

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

In this work, kinks with non-canonical kinetic energy terms are studied in a type of two-dimensional dilaton gravity model. The linear stability issue is generally discussed for arbitrary static solutions, and the stability criteria are obtained. As an explicit example, a model with cuscuton term is studied. After rewriting the equations of motion into simpler first-order formalism and choosing a polynomial superpotential, an exact self-gravitating kink solution is obtained. The impacts of the cuscuton term are discussed.

[ { "created": "Mon, 23 Aug 2021 13:28:34 GMT", "version": "v1" }, { "created": "Wed, 13 Oct 2021 00:37:22 GMT", "version": "v2" } ]

2021-10-20

[ [ "Zhong", "Yuan", "" ], [ "Li", "Fei-Yu", "" ], [ "Liu", "Xu-Dong", "" ] ]

In this work, kinks with non-canonical kinetic energy terms are studied in a type of two-dimensional dilaton gravity model. The linear stability issue is generally discussed for arbitrary static solutions, and the stability criteria are obtained. As an explicit example, a model with cuscuton term is studied. After rewriting the equations of motion into simpler first-order formalism and choosing a polynomial superpotential, an exact self-gravitating kink solution is obtained. The impacts of the cuscuton term are discussed.

12.073717

11.477635

10.198914

9.474619

11.327755

10.339839

12.252251

9.883579

10.404771

10.482886

11.142632

10.95137

10.560573

10.923923

10.995538

11.429885

11.153511

11.121851

11.093173

10.765623

11.125802

hep-th/9611154

Slavnov

A.A. Slavnov

Bosonized Formulation of Lattice QCD

6 pages, latex, no figures Talk, presented at XYIII International Seminar "Relativistic nuclear physics and Quantum Chromodynamics", Dubna, September 1996

null

hep-th

null

Problems in lattice gauge models with fermions are discussed. A new bosonic Hermitean effective action for lattice QCD with dynamical quarks is presented. In distinction of the previous version, it does not include constraints and is better suited for Monte-Carlo simulations.

[ { "created": "Wed, 20 Nov 1996 16:25:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Slavnov", "A. A.", "" ] ]

Problems in lattice gauge models with fermions are discussed. A new bosonic Hermitean effective action for lattice QCD with dynamical quarks is presented. In distinction of the previous version, it does not include constraints and is better suited for Monte-Carlo simulations.

15.448231

14.741479

11.733927

13.043612

15.09526

15.292426

13.731878

13.119542

13.575496

11.611216

13.026933

12.573902

12.125886

12.384883

11.968761

12.352182

12.178988

12.128297

12.013091

11.899966

13.399287

hep-th/9612003

Carlos Castro

Carlos Castro (University of Texas and World Laboratory, Lausanne, Switzerland)

Incorporating the Scale-Relativity Principle in String Theory and Extended Objects

16 pages, revised tex file, with minor changes

null

hep-th

null

First steps in incorporating Nottale's scale-relativity principle to string theory and extended objects are taken. Scale Relativity is to scales what motion Relativity is to velocities. The universal, absolute, impassible, invariant scale under dilatations, in Nature, is taken to be the Planck scale which is not the same as the string scale. Starting with Nambu-Goto actions for strings and other extended objects, we show that the principle of scale-relativity invariance of the world-volume measure associated with the extended objects ( Lorentzian-scalings transformations with respect to the resolutions of the world-volume coordinates) is compatible with the vanishing of the scale-relativity version of the $\beta$ functions : $\beta^G_{\mu\nu}=\beta^X=0$, of the target spacetime metric and coordinates, respectively. Preliminary steps are taken to merge motion relativity with scale relativity and, in this fashion, analogs of Weyl-Finsler geometries make their appearance. The quantum case remains to be studied.

[ { "created": "Fri, 29 Nov 1996 09:14:57 GMT", "version": "v1" }, { "created": "Tue, 3 Dec 1996 02:16:15 GMT", "version": "v2" } ]

2008-02-03

[ [ "Castro", "Carlos", "", "University of Texas and World Laboratory, Lausanne,\n Switzerland" ] ]

First steps in incorporating Nottale's scale-relativity principle to string theory and extended objects are taken. Scale Relativity is to scales what motion Relativity is to velocities. The universal, absolute, impassible, invariant scale under dilatations, in Nature, is taken to be the Planck scale which is not the same as the string scale. Starting with Nambu-Goto actions for strings and other extended objects, we show that the principle of scale-relativity invariance of the world-volume measure associated with the extended objects ( Lorentzian-scalings transformations with respect to the resolutions of the world-volume coordinates) is compatible with the vanishing of the scale-relativity version of the $\beta$ functions : $\beta^G_{\mu\nu}=\beta^X=0$, of the target spacetime metric and coordinates, respectively. Preliminary steps are taken to merge motion relativity with scale relativity and, in this fashion, analogs of Weyl-Finsler geometries make their appearance. The quantum case remains to be studied.

14.379128

11.219818

15.603752

12.017637

12.294983

12.415548

12.123857

11.522962

11.826775

16.72838

12.462578

12.708153

13.362767

12.740684

12.964506

12.42125

12.251749

12.935465

12.347743

13.286638

12.735827

hep-th/0604121

Nobuhiro Uekusa

Norisuke Sakai and Nobuhiro Uekusa

Selecting Gauge Theories on an Interval by 5D Gauge Transformations

21 pages, 4 figures; typos corrected(v2), a footnote added for section 3(v3), added explanations(v4), typos corrected, a part of section 2.3 restructured and paragraphs added for section 3(v5), presentation modified and typos corrected(v6), PTP version(v7)

Prog.Theor.Phys.118:315-335,2007

10.1143/PTP.118.315

TIT/HEP-552

hep-th hep-ph

null

Gauge symmetry breaking by boundary conditions is studied in a general warped geometry in five dimensions. It has been suggested that a wider class of boundary conditions is allowed by requiring only vanishing surface terms when deriving the field equations for gauge theories on an interval (i.e., employing a variational principle), in comparison to the twist in orbifolding with automorphisms of the Lie algebra. We find that there are classes of boundary conditions allowed by the variational principle which violate the Ward-Takahashi identity and give four-point tree amplitudes that increase with energy in channels that have not yet been explored, leading to cross sections that increase as powers of the energy (which violates the tree level unitarity). We also find that such boundary conditions are forbidden by the requirement that the definitions of the restricted class of five-dimensional (5D) gauge transformations be consistent.

[ { "created": "Tue, 18 Apr 2006 06:39:24 GMT", "version": "v1" }, { "created": "Wed, 19 Apr 2006 11:43:55 GMT", "version": "v2" }, { "created": "Thu, 20 Apr 2006 05:53:37 GMT", "version": "v3" }, { "created": "Wed, 30 Aug 2006 11:04:23 GMT", "version": "v4" }, { "created": "Mon, 29 Jan 2007 10:50:58 GMT", "version": "v5" }, { "created": "Thu, 21 Jun 2007 12:36:26 GMT", "version": "v6" }, { "created": "Fri, 10 Aug 2007 12:36:50 GMT", "version": "v7" } ]

2008-11-26

[ [ "Sakai", "Norisuke", "" ], [ "Uekusa", "Nobuhiro", "" ] ]

Gauge symmetry breaking by boundary conditions is studied in a general warped geometry in five dimensions. It has been suggested that a wider class of boundary conditions is allowed by requiring only vanishing surface terms when deriving the field equations for gauge theories on an interval (i.e., employing a variational principle), in comparison to the twist in orbifolding with automorphisms of the Lie algebra. We find that there are classes of boundary conditions allowed by the variational principle which violate the Ward-Takahashi identity and give four-point tree amplitudes that increase with energy in channels that have not yet been explored, leading to cross sections that increase as powers of the energy (which violates the tree level unitarity). We also find that such boundary conditions are forbidden by the requirement that the definitions of the restricted class of five-dimensional (5D) gauge transformations be consistent.

16.211809

16.467283

14.567635

15.004726

16.592134

16.970058

15.683949

14.923147

13.882339

18.678659

14.595816

14.830955

14.729324

15.006146

15.003854

15.287381

15.255968

15.080986

14.764977

15.278337

15.006436

1412.6863

In\^es Aniceto

Michael C. Abbott, In\^es Aniceto

An improved AFS phase for AdS3 string integrability

7 pages

Phys. Lett. B 743 (2015) 61-65

10.1016/j.physletb.2015.02.016

null

hep-th

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

We propose a number of modifications to the classical term in the dressing phase for integrable strings in AdS3 x S3 x S3 x S1, and check these against existing perturbative calculations, crossing symmetry, and the semiclassical limit of the Bethe equations. The principal change is that the phase for different masses should start with a term Q_1 Q_2, like the one-loop AdS3 dressing phase, rather than Q_2 Q_3 as for the original AdS5 AFS phase.

[ { "created": "Mon, 22 Dec 2014 03:10:14 GMT", "version": "v1" } ]

2015-03-04

[ [ "Abbott", "Michael C.", "" ], [ "Aniceto", "Inês", "" ] ]

We propose a number of modifications to the classical term in the dressing phase for integrable strings in AdS3 x S3 x S3 x S1, and check these against existing perturbative calculations, crossing symmetry, and the semiclassical limit of the Bethe equations. The principal change is that the phase for different masses should start with a term Q_1 Q_2, like the one-loop AdS3 dressing phase, rather than Q_2 Q_3 as for the original AdS5 AFS phase.

13.384048

12.08526

16.081791

11.794916

11.771915

11.92668

12.077184

12.047117

12.058478

16.280529

11.090706

11.708694

12.979188

11.31363

11.721668

11.993776

11.677268

11.938825

11.729222

12.983567

11.212852

hep-th/0107256

Niall MacKay

Niall MacKay and Ben Short

Boundary scattering in the principal chiral model

Updated v2 based on talk at 'IFTs, Solitons and Duality', Sao Paulo 2002; v1 appeared in Proc. QGIS Prague 2001

Czech.J.Phys. 51 (2001) 1380-1384

10.1023/A:1013338507505

null

hep-th

null

An informal introduction to our recent work on the principal chiral model with boundary. We found that both classically integrable boundary conditions and quantum boundary S-matrices were classified by the symmetric spaces G/H. The connection is explained by the presence of a twisted Yangian algebra of non-local charges.

[ { "created": "Mon, 30 Jul 2001 14:07:15 GMT", "version": "v1" }, { "created": "Fri, 18 Oct 2002 14:06:53 GMT", "version": "v2" } ]

2009-11-07

[ [ "MacKay", "Niall", "" ], [ "Short", "Ben", "" ] ]

An informal introduction to our recent work on the principal chiral model with boundary. We found that both classically integrable boundary conditions and quantum boundary S-matrices were classified by the symmetric spaces G/H. The connection is explained by the presence of a twisted Yangian algebra of non-local charges.

20.852749

15.968431

20.584185

13.829231

16.171148

15.292641

14.256746

14.382694

14.602489

23.089237

14.716732

15.173527

19.247686

15.633956

15.887313

16.11182

15.746524

14.401164

16.337709

18.439899

15.912267

hep-th/0405070

Kenichi Konishi

Roberto Auzzi, Stefano Bolognesi, Jarah Evslin, Kenichi Konishi, Hitoshi Murayama

Nonabelian Monopoles

48 pages, 2 figures, Latex, references added, minor corrections made

Nucl.Phys.B701:207-246,2004

10.1016/j.nuclphysb.2004.08.041

ULB-TH-04/11, IFUP-TH/2004-5

hep-th

null

We study topological as well as dynamical properties of BPS nonabelian magnetic monopoles of Goddard-Nuyts-Olive-Weinberg type in $ G=SU(N)$, $USp(2N)$ and SO(N) gauge theories, spontaneously broken to nonabelian subgroups $H$. We find that monopoles transform under the group dual to $H$ in a tensor representation of rank determined by the corresponding element in $\pi_1(H)$. When the system is embedded in a ${\cal N}=2$ supersymmetric theory with an appropriate set of flavors with appropriate bare masses, the BPS monopoles constructed semiclassically persist in the full quantum theory. This result supports the identification of ``dual quarks'' found at $r$-vacua of ${\cal N}=2$ theories with the nonabelian magnetic monopoles. We present several consistency checks of our monopole spectra.

[ { "created": "Sun, 9 May 2004 00:35:23 GMT", "version": "v1" }, { "created": "Thu, 17 Jun 2004 16:15:08 GMT", "version": "v2" }, { "created": "Wed, 23 Jun 2004 16:29:18 GMT", "version": "v3" } ]

2009-09-29

[ [ "Auzzi", "Roberto", "" ], [ "Bolognesi", "Stefano", "" ], [ "Evslin", "Jarah", "" ], [ "Konishi", "Kenichi", "" ], [ "Murayama", "Hitoshi", "" ] ]

We study topological as well as dynamical properties of BPS nonabelian magnetic monopoles of Goddard-Nuyts-Olive-Weinberg type in $ G=SU(N)$, $USp(2N)$ and SO(N) gauge theories, spontaneously broken to nonabelian subgroups $H$. We find that monopoles transform under the group dual to $H$ in a tensor representation of rank determined by the corresponding element in $\pi_1(H)$. When the system is embedded in a ${\cal N}=2$ supersymmetric theory with an appropriate set of flavors with appropriate bare masses, the BPS monopoles constructed semiclassically persist in the full quantum theory. This result supports the identification of ``dual quarks'' found at $r$-vacua of ${\cal N}=2$ theories with the nonabelian magnetic monopoles. We present several consistency checks of our monopole spectra.

8.434637

7.237365

9.455671

7.546933

7.96086

7.833652

7.466471

7.215738

7.521852

10.490395

7.463403

7.63389

8.253057

7.825414

7.814097

7.862596

7.815051

7.814138

7.678512

8.376667

7.512883

2207.02814

Yu-Kun Yan

Yu-Kun Yan, Shanquan Lan, Yu Tian, Peng Yang, Shunhui Yao and Hongbao Zhang

Holographic dissipation prefers the Landau over the Keldysh form

some changes in presentation, version to appear in PRD as a Letter

Phys. Rev. D 107, L121901 (2023)

10.1103/PhysRevD.107.L121901

null

hep-th cond-mat.quant-gas physics.flu-dyn

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

Although holographic duality has been regarded as a complementary tool in helping understand the non-equilibrium dynamics of strongly coupled many-body systems, it still remains a remarkable challenge how to confront its predictions quantitatively with the real experimental scenarios. By matching the holographic vortex dynamics with the phenomenological dissipative Gross-Pitaeviskii models, we find that the holographic dissipation mechanism can be well captured by the Landau form rather than the Keldysh one, although the latter is much more widely used in numerical simulations. Our finding is expected to open up novel avenues for facilitating the quantitative test of the holographic predictions against the upcoming experimental data. Our result also provides a prime example how holographic duality can help select proper phenomenological models to describe far-from-equilibrium nonlinear dynamics beyond the hydrodynamic regime.

[ { "created": "Wed, 6 Jul 2022 17:06:34 GMT", "version": "v1" }, { "created": "Thu, 7 Jul 2022 14:55:20 GMT", "version": "v2" }, { "created": "Fri, 26 May 2023 08:14:31 GMT", "version": "v3" } ]

2023-06-09

[ [ "Yan", "Yu-Kun", "" ], [ "Lan", "Shanquan", "" ], [ "Tian", "Yu", "" ], [ "Yang", "Peng", "" ], [ "Yao", "Shunhui", "" ], [ "Zhang", "Hongbao", "" ] ]

Although holographic duality has been regarded as a complementary tool in helping understand the non-equilibrium dynamics of strongly coupled many-body systems, it still remains a remarkable challenge how to confront its predictions quantitatively with the real experimental scenarios. By matching the holographic vortex dynamics with the phenomenological dissipative Gross-Pitaeviskii models, we find that the holographic dissipation mechanism can be well captured by the Landau form rather than the Keldysh one, although the latter is much more widely used in numerical simulations. Our finding is expected to open up novel avenues for facilitating the quantitative test of the holographic predictions against the upcoming experimental data. Our result also provides a prime example how holographic duality can help select proper phenomenological models to describe far-from-equilibrium nonlinear dynamics beyond the hydrodynamic regime.

10.725749

11.414999

10.785177

10.056236

10.577887

11.411919

11.297084

9.971915

12.273486

12.174689

10.552934

10.653687

10.319393

10.12143

10.215216

10.447193

10.230702

9.983137

10.189796

10.2582

10.12676

1008.1574

Dmitry V. Belyaev

Dmitry V. Belyaev, Tom G. Pugh

The supermultiplet of boundary conditions in supergravity

22 pages. JHEP format; references added; published version

JHEP 1010:031,2010

10.1007/JHEP10(2010)031

null

hep-th

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

Boundary conditions in supergravity on a manifold with boundary relate the bulk gravitino to the boundary supercurrent, and the normal derivative of the bulk metric to the boundary energy-momentum tensor. In the 3D N=1 setting, we show that these boundary conditions can be stated in a manifestly supersymmetric form. We identify the Extrinsic Curvature Tensor Multiplet, and show that boundary conditions set it equal to (a conjugate of) the boundary supercurrent multiplet. Extension of our results to higher-dimensional models (including the Randall-Sundrum and Horava-Witten scenarios) is discussed.

[ { "created": "Mon, 9 Aug 2010 19:56:21 GMT", "version": "v1" }, { "created": "Wed, 27 Oct 2010 20:00:00 GMT", "version": "v2" } ]

2010-10-29

[ [ "Belyaev", "Dmitry V.", "" ], [ "Pugh", "Tom G.", "" ] ]

Boundary conditions in supergravity on a manifold with boundary relate the bulk gravitino to the boundary supercurrent, and the normal derivative of the bulk metric to the boundary energy-momentum tensor. In the 3D N=1 setting, we show that these boundary conditions can be stated in a manifestly supersymmetric form. We identify the Extrinsic Curvature Tensor Multiplet, and show that boundary conditions set it equal to (a conjugate of) the boundary supercurrent multiplet. Extension of our results to higher-dimensional models (including the Randall-Sundrum and Horava-Witten scenarios) is discussed.

8.748982

8.830633

9.665937

8.752294

8.479928

8.19659

8.62697

8.056202

8.401423

10.141052

8.438076

8.422353

8.588288

8.62083

8.584702

8.68933

8.387423

8.787701

8.372035

8.569312

8.430485

hep-th/0205282

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Entropy bounds and Cardy-Verlinde formula in Yang-Mills theory

LaTeX file, 11 pages, a reference is added

Phys.Lett.B540:167-172,2002

10.1016/S0370-2693(02)02149-4

null

hep-th hep-ph

null

Using gauge formulation of gravity the three-dimensional SU(2) YM theory equations of motion are presented in equivalent form as FRW cosmological equations. With the radiation, the particular (periodic, big bang-big crunch) three-dimensional universe is constructed. Cosmological entropy bounds (so-called Cardy-Verlinde formula) have the standard form in such universe. Mapping such universe back to YM formulation we got the thermal solution of YM theory. The corresponding holographic entropy bounds (Cardy-Verlinde formula) in YM theory are constructed. This indicates to universal character of holographic relations.

[ { "created": "Tue, 28 May 2002 09:56:30 GMT", "version": "v1" }, { "created": "Tue, 18 Jun 2002 23:07:40 GMT", "version": "v2" } ]

2009-09-17

[ [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]

Using gauge formulation of gravity the three-dimensional SU(2) YM theory equations of motion are presented in equivalent form as FRW cosmological equations. With the radiation, the particular (periodic, big bang-big crunch) three-dimensional universe is constructed. Cosmological entropy bounds (so-called Cardy-Verlinde formula) have the standard form in such universe. Mapping such universe back to YM formulation we got the thermal solution of YM theory. The corresponding holographic entropy bounds (Cardy-Verlinde formula) in YM theory are constructed. This indicates to universal character of holographic relations.

18.169897

17.266253

16.753941

18.062601

17.780474

18.477343

17.167189

16.802029

17.652599

18.373789

16.609779

16.840717

17.603043

16.590452

17.611082

16.684793

17.009459

16.972834

16.858273

17.464615

17.33353

hep-th/0106135

Larisa Jonke

Larisa Jonke, Stjepan Meljanac (Rudjer Boskovic Institute)

Bosonic realization of algebras in the Calogero model

10 pages, Revtex, v2. mapping clarified, references changed

Phys.Lett. B526 (2002) 149-156

10.1016/S0370-2693(01)01464-2

null

hep-th math-ph math.MP

null

We study an N-body Calogero model in the S_N-symmetric subspace of the positive definite Fock space. We construct a new algebra of S_N-symmetric operators represented on the symmetric Fock space, and find a natural orthogonal basis by mapping the algebra onto the Heisenberg algebra. Our main result is the bosonic realization of nonlinear symmetry algebra describing the structure of degenerate levels of Calogero model.

[ { "created": "Fri, 15 Jun 2001 13:30:26 GMT", "version": "v1" }, { "created": "Tue, 11 Dec 2001 13:02:43 GMT", "version": "v2" } ]

2009-11-07

[ [ "Jonke", "Larisa", "", "Rudjer Boskovic Institute" ], [ "Meljanac", "Stjepan", "", "Rudjer Boskovic Institute" ] ]

We study an N-body Calogero model in the S_N-symmetric subspace of the positive definite Fock space. We construct a new algebra of S_N-symmetric operators represented on the symmetric Fock space, and find a natural orthogonal basis by mapping the algebra onto the Heisenberg algebra. Our main result is the bosonic realization of nonlinear symmetry algebra describing the structure of degenerate levels of Calogero model.

13.364335

10.843578

15.326441

12.560243

11.905847

10.910826

12.145972

12.03279

12.288381

15.299949

11.983092

11.695174

14.253671

12.368302

11.848645

11.721962

12.429308

11.858763

12.214317

12.863551

11.755931

hep-th/0501223

Alejandro Jenkins

Michael L. Graesser, Alejandro Jenkins, Mark B. Wise

Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect

11 pages, no figures, revtex4. v4: Replaced to match version to appear in Phys. Lett. B (minor corrections of form)

Phys.Lett. B613 (2005) 5-10

10.1016/j.physletb.2005.03.037

CALT-68-2538

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

null

Lorentz-violating operators involving Standard Model fields are tightly constrained by experimental data. However, bounds are more model-independent for Lorentz violation appearing in purely gravitational couplings. The spontaneous breaking of Lorentz invariance by the vacuum expectation value of a vector field selects a universal rest frame. This affects the propagation of the graviton, leading to a modification of Newton's law of gravity. We compute the size of the long-range preferred-frame effect in terms of the coefficients of the two-derivative operators in the low-energy effective theory that involves only the graviton and the Goldstone bosons.

[ { "created": "Fri, 28 Jan 2005 20:12:39 GMT", "version": "v1" }, { "created": "Mon, 7 Feb 2005 21:36:17 GMT", "version": "v2" }, { "created": "Thu, 10 Feb 2005 23:38:32 GMT", "version": "v3" }, { "created": "Wed, 23 Mar 2005 01:26:50 GMT", "version": "v4" } ]

2010-04-05

[ [ "Graesser", "Michael L.", "" ], [ "Jenkins", "Alejandro", "" ], [ "Wise", "Mark B.", "" ] ]

Lorentz-violating operators involving Standard Model fields are tightly constrained by experimental data. However, bounds are more model-independent for Lorentz violation appearing in purely gravitational couplings. The spontaneous breaking of Lorentz invariance by the vacuum expectation value of a vector field selects a universal rest frame. This affects the propagation of the graviton, leading to a modification of Newton's law of gravity. We compute the size of the long-range preferred-frame effect in terms of the coefficients of the two-derivative operators in the low-energy effective theory that involves only the graviton and the Goldstone bosons.

7.330388

7.232336

6.905518

6.498523

6.888042

7.281172

6.289439

7.654507

6.77338

7.301324

6.974234

7.004838

6.780173

6.553405

6.711508

6.657302

7.079644

6.885697

6.454063

7.024899

6.75138

2008.10290

Carles Batlle

Carles Batlle, V\'ictor Campello, Joaquim Gomis

A canonical realization of the Weyl BMS symmetry

Version accepted for publication in Physics Letters B. Corrected a typo. Added a comment and updated the bibliography and research sponsors

null

10.1016/j.physletb.2020.135920

ICCUB-20-017

hep-th

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

We construct a free field realization of an extension of the BMS algebra in $2+1$ dimensional space-time. Besides the supertranslations and superrotations, the extension contains an infinite set of superdilatations. We also comment the difficulties that appear when trying to extend the algebra to that of the full conformal group.

[ { "created": "Mon, 24 Aug 2020 09:47:02 GMT", "version": "v1" }, { "created": "Fri, 6 Nov 2020 12:04:16 GMT", "version": "v2" } ]

2020-11-11

[ [ "Batlle", "Carles", "" ], [ "Campello", "Víctor", "" ], [ "Gomis", "Joaquim", "" ] ]

We construct a free field realization of an extension of the BMS algebra in $2+1$ dimensional space-time. Besides the supertranslations and superrotations, the extension contains an infinite set of superdilatations. We also comment the difficulties that appear when trying to extend the algebra to that of the full conformal group.

7.79814

6.598764

7.317437

6.298604

6.068484

6.341061

6.773201

6.988894

6.918536

8.30328

7.215973

7.059814

7.864012

7.262204

7.142386

6.850495

6.847124

7.054465

6.97475

7.204137

6.877798

1805.03214

Monica Jinwoo Kang

Mboyo Esole and Monica Jinwoo Kang

The Geometry of the SU(2)$\times$ G$_2$-model

43 pages + references, 14 tables, 11 figures

JHEP {\bf 1902}, 091 (2019)

10.1007/JHEP02(2019)091

null

hep-th math.AG

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

We study elliptic fibrations that geometrically engineer an SU(2)$\times$ G$_2$ gauge theory realized by Weierstrass model for the collision III+$\text{I}_0^{*\text{ns}}$. We construct the four possible crepant resolutions of such a Weierstrass model and show that they form a chain of four minimal models connected by flops. We compute the generating function for the Euler characteristic of these crepant resolutions. In the case of a Calabi-Yau threefold, we consider the compactification of M-theory and F-theory on an SU(2)$\times$ G$_2$-model to a five and six-dimensional supergravity with eight supercharges. By matching each crepant resolution with each Coulomb chamber of the five-dimensional theory, we determine the number of multiplets and compute the prepotential in each Coulomb chamber. In particular, we discuss counting number of hypermultiplets in presence of singularities. We discuss in detail the cancellation of anomalies of the six-dimensional theory.

[ { "created": "Tue, 8 May 2018 18:00:06 GMT", "version": "v1" }, { "created": "Wed, 12 Jun 2019 17:06:36 GMT", "version": "v2" } ]

2019-06-13

[ [ "Esole", "Mboyo", "" ], [ "Kang", "Monica Jinwoo", "" ] ]

We study elliptic fibrations that geometrically engineer an SU(2)$\times$ G$_2$ gauge theory realized by Weierstrass model for the collision III+$\text{I}_0^{*\text{ns}}$. We construct the four possible crepant resolutions of such a Weierstrass model and show that they form a chain of four minimal models connected by flops. We compute the generating function for the Euler characteristic of these crepant resolutions. In the case of a Calabi-Yau threefold, we consider the compactification of M-theory and F-theory on an SU(2)$\times$ G$_2$-model to a five and six-dimensional supergravity with eight supercharges. By matching each crepant resolution with each Coulomb chamber of the five-dimensional theory, we determine the number of multiplets and compute the prepotential in each Coulomb chamber. In particular, we discuss counting number of hypermultiplets in presence of singularities. We discuss in detail the cancellation of anomalies of the six-dimensional theory.

8.631759

8.594168

10.790787

8.201614

9.009174

9.34675

9.093083

9.079858

8.207365

10.290222

8.498319

8.046928

9.075343

8.009084

8.220225

8.599119

8.283937

8.394889

8.110195

9.192907

7.967514