LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2307.04190

Yuma Furuta

On the Rationality and the Code Structure of a Narain CFT, and the Simple Current Orbifold

34 pages

null

hep-th math-ph math.MP

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

In this paper, we discuss the simple current orbifold of a rational Narain CFT (Narain RCFT). This is a method of constructing other rational CFTs from a given rational CFT, by ``orbifolding'' the global symmetry formed by a particular primary fields (called the simple current). Our main result is that a Narain RCFT satisfying certain conditions can be described in the form of a simple current orbifold of another Narain RCFT, and we have shown how the discrete torsion in taking that orbifold is obtained. Additionally, the partition function can be considered a simple current orbifold with discrete torsion, which is determined by the lattice and the B-field. We establish that the partition function can be expressed as a polynomial, with the variables substituted by certain q-series. In a specific scenario, this polynomial corresponds to the weight enumerator polynomial of an error-correcting code. Using this correspondence to the code theory, we can relate the B-field, the discrete torsion, and the B-form to each other.

[ { "created": "Sun, 9 Jul 2023 14:51:11 GMT", "version": "v1" }, { "created": "Wed, 16 Aug 2023 09:08:17 GMT", "version": "v2" }, { "created": "Thu, 8 Feb 2024 15:22:01 GMT", "version": "v3" } ]

2024-02-09

[ [ "Furuta", "Yuma", "" ] ]

In this paper, we discuss the simple current orbifold of a rational Narain CFT (Narain RCFT). This is a method of constructing other rational CFTs from a given rational CFT, by ``orbifolding'' the global symmetry formed by a particular primary fields (called the simple current). Our main result is that a Narain RCFT satisfying certain conditions can be described in the form of a simple current orbifold of another Narain RCFT, and we have shown how the discrete torsion in taking that orbifold is obtained. Additionally, the partition function can be considered a simple current orbifold with discrete torsion, which is determined by the lattice and the B-field. We establish that the partition function can be expressed as a polynomial, with the variables substituted by certain q-series. In a specific scenario, this polynomial corresponds to the weight enumerator polynomial of an error-correcting code. Using this correspondence to the code theory, we can relate the B-field, the discrete torsion, and the B-form to each other.

10.110563

10.129786

11.65379

9.547369

10.051478

10.506515

10.647567

10.266281

10.474854

12.829128

10.115325

9.573765

10.263677

9.526183

9.667315

9.75115

9.199502

9.764884

9.577874

10.38303

9.622207

1905.08255

Geoffrey Penington

Entanglement Wedge Reconstruction and the Information Paradox

60 + 15 pages, 17 figures; v3 minor changes to match journal version

null

hep-th gr-qc quant-ph

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

When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time $\beta/2\pi \log S_{BH}$ into the past. We can immediately derive the Page curve, using the Ryu-Takayanagi formula, and the Hayden-Preskill decoding criterion, using entanglement wedge reconstruction. Because part of the interior is now encoded in the early Hawking radiation, the decreasing entanglement entropy of the black hole is exactly consistent with the semiclassical bulk entanglement of the late-time Hawking modes, despite the absence of a firewall. By studying the entanglement wedge of highly mixed states, we can understand the state dependence of the interior reconstructions. A crucial role is played by the existence of tiny, non-perturbative errors in entanglement wedge reconstruction. Directly after the Page time, interior operators can only be reconstructed from the Hawking radiation if the initial state of the black hole is known. As the black hole continues to evaporate, reconstructions become possible that simultaneously work for a large class of initial states. Using similar techniques, we generalise Hayden-Preskill to show how the amount of Hawking radiation required to reconstruct a large diary, thrown into the black hole, depends on both the energy and the entropy of the diary. Finally we argue that, before the evaporation begins, a single, state-independent interior reconstruction exists for any code space of microstates with entropy strictly less than the Bekenstein-Hawking entropy, and show that this is sufficient state dependence to avoid the AMPSS typical-state firewall paradox.

[ { "created": "Mon, 20 May 2019 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2019 20:12:52 GMT", "version": "v2" }, { "created": "Sat, 29 Aug 2020 01:47:10 GMT", "version": "v3" } ]

2020-09-01

[ [ "Penington", "Geoffrey", "" ] ]

When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time $\beta/2\pi \log S_{BH}$ into the past. We can immediately derive the Page curve, using the Ryu-Takayanagi formula, and the Hayden-Preskill decoding criterion, using entanglement wedge reconstruction. Because part of the interior is now encoded in the early Hawking radiation, the decreasing entanglement entropy of the black hole is exactly consistent with the semiclassical bulk entanglement of the late-time Hawking modes, despite the absence of a firewall. By studying the entanglement wedge of highly mixed states, we can understand the state dependence of the interior reconstructions. A crucial role is played by the existence of tiny, non-perturbative errors in entanglement wedge reconstruction. Directly after the Page time, interior operators can only be reconstructed from the Hawking radiation if the initial state of the black hole is known. As the black hole continues to evaporate, reconstructions become possible that simultaneously work for a large class of initial states. Using similar techniques, we generalise Hayden-Preskill to show how the amount of Hawking radiation required to reconstruct a large diary, thrown into the black hole, depends on both the energy and the entropy of the diary. Finally we argue that, before the evaporation begins, a single, state-independent interior reconstruction exists for any code space of microstates with entropy strictly less than the Bekenstein-Hawking entropy, and show that this is sufficient state dependence to avoid the AMPSS typical-state firewall paradox.

10.468274

10.532058

12.608149

9.659966

10.193796

9.790302

10.08552

10.271363

9.464346

13.377269

9.755047

9.924837

10.306442

9.844866

10.301362

9.855659

10.247366

10.016059

10.213139

10.369009

9.65418

hep-th/9805150

Martin Stock

N. Graham and R. L. Jaffe

Unambiguous one-loop quantum energies of 1+1 dimensional bosonic field configurations

Email correspondence to graham@mitlns.mit.edu ; 10 pages, 2 figures, REVTeX, BoxedEPS; v2: Fixed description of level crossing as a function of $x_0$; v3: Fixed numerical error in figure data

Phys.Lett. B435 (1998) 145-151

10.1016/S0370-2693(98)00795-3

MIT-CTP-2744

hep-th

null

We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the classical field equations. We unambiguously implement standard perturbative renormalization using phase shifts and the Born approximation. We illustrate our method by calculating the quantum energy of a soliton/antisoliton pair as a function of their separation. This energy includes an imaginary part that gives a quantum decay rate and is associated with a level crossing in the solutions to the classical field equation in the presence of the source that maintains the soliton/antisoliton pair.

[ { "created": "Fri, 22 May 1998 19:37:48 GMT", "version": "v1" }, { "created": "Tue, 23 Jun 1998 23:14:07 GMT", "version": "v2" }, { "created": "Thu, 31 Jul 2003 20:53:55 GMT", "version": "v3" } ]

2009-10-31

[ [ "Graham", "N.", "" ], [ "Jaffe", "R. L.", "" ] ]

We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the classical field equations. We unambiguously implement standard perturbative renormalization using phase shifts and the Born approximation. We illustrate our method by calculating the quantum energy of a soliton/antisoliton pair as a function of their separation. This energy includes an imaginary part that gives a quantum decay rate and is associated with a level crossing in the solutions to the classical field equation in the presence of the source that maintains the soliton/antisoliton pair.

8.675709

7.59805

8.987231

7.857396

8.984588

7.709403

8.24077

8.205374

7.983947

8.82409

7.779254

8.002687

8.452194

8.136747

8.149009

8.188698

8.009043

7.831136

8.42112

8.568225

8.26413

0704.0052

William Gordon Ritter

Arthur Jaffe (1) and Gordon Ritter (1) ((1) Harvard University)

Quantum Field Theory on Curved Backgrounds. II. Spacetime Symmetries

18 pages, 1 figure

null

hep-th

null

We study space-time symmetries in scalar quantum field theory (including interacting theories) on static space-times. We first consider Euclidean quantum field theory on a static Riemannian manifold, and show that the isometry group is generated by one-parameter subgroups which have either self-adjoint or unitary quantizations. We analytically continue the self-adjoint semigroups to one-parameter unitary groups, and thus construct a unitary representation of the isometry group of the associated Lorentzian manifold. The method is illustrated for the example of hyperbolic space, whose Lorentzian continuation is Anti-de Sitter space.

[ { "created": "Sat, 31 Mar 2007 20:07:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Jaffe", "Arthur", "", "Harvard University" ], [ "Ritter", "Gordon", "", "Harvard University" ] ]

We study space-time symmetries in scalar quantum field theory (including interacting theories) on static space-times. We first consider Euclidean quantum field theory on a static Riemannian manifold, and show that the isometry group is generated by one-parameter subgroups which have either self-adjoint or unitary quantizations. We analytically continue the self-adjoint semigroups to one-parameter unitary groups, and thus construct a unitary representation of the isometry group of the associated Lorentzian manifold. The method is illustrated for the example of hyperbolic space, whose Lorentzian continuation is Anti-de Sitter space.

6.060338

6.327127

6.590738

5.555716

5.843199

6.189599

6.319046

6.139043

6.179173

6.287443

5.856196

5.956648

5.789408

5.995245

5.927484

5.831409

5.874395

6.034595

5.919468

5.911183

5.671193

hep-th/0405165

Ariel Abrashkin

A. Abrashkin, Y. Frishman, J. Sonnenschein

The spectrum of states with one current acting on the adjoint vacuum of massless QCD2

18 pages, no figures. v2: minor corrections. v3: added some clarifications and remarks, mainly on the contribution of zero modes. Typos corrected, references added. To appear in Nuclear Physics B

Nucl.Phys. B703 (2004) 320-332

10.1016/j.nuclphysb.2004.10.019

WIS/15/04-MAY-DPP, TAUP 2771-04

hep-th

null

We consider a ``one current'' state, which is obtained by the application of a color current on the ``adjoint'' vacuum. This is done in $QCD_2$, with the underlying quarks in the fundamental representation. The quarks are taken to be massless, in which case the theory on the light-front can be ``currentized'', namely, formulated in terms of currents only. The adjoint vacuum is shown to be the application of a current derivative, at zero momentum, on the singlet vacuum. We apply the operator $M^2=2P^+P^-$ on these states and find that in general they are not eigenstates of $M^2$ apart from the large $N_f$ limit. Problems with infra-red regularizations are pointed out. We discuss the fermionic structure of these states.

[ { "created": "Wed, 19 May 2004 13:51:50 GMT", "version": "v1" }, { "created": "Tue, 22 Jun 2004 16:28:21 GMT", "version": "v2" }, { "created": "Wed, 10 Nov 2004 17:17:32 GMT", "version": "v3" } ]

2015-06-26

[ [ "Abrashkin", "A.", "" ], [ "Frishman", "Y.", "" ], [ "Sonnenschein", "J.", "" ] ]

We consider a ``one current'' state, which is obtained by the application of a color current on the ``adjoint'' vacuum. This is done in $QCD_2$, with the underlying quarks in the fundamental representation. The quarks are taken to be massless, in which case the theory on the light-front can be ``currentized'', namely, formulated in terms of currents only. The adjoint vacuum is shown to be the application of a current derivative, at zero momentum, on the singlet vacuum. We apply the operator $M^2=2P^+P^-$ on these states and find that in general they are not eigenstates of $M^2$ apart from the large $N_f$ limit. Problems with infra-red regularizations are pointed out. We discuss the fermionic structure of these states.

10.902946

8.610336

10.849925

9.79369

10.483816

10.859878

11.17817

9.588305

9.934207

12.465012

9.514903

9.754575

10.935265

10.137148

10.204101

10.05743

10.171523

9.787579

9.921515

10.49487

10.090054

hep-th/0602269

Yuichi Sekiwa

Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant

Revtex4, 11pages

Phys.Rev. D73 (2006) 084009

10.1103/PhysRevD.73.084009

null

hep-th

null

We study the thermodynamic properties associated with the black hole event horizon and the cosmological horizon for black hole solutions in asymptotically de Sitter spacetimes. We examine thermodynamics of these horizons on the basis of the conserved charges according to Teitelboim's method. In particular, we have succeeded in deriving the generalized Smarr formula among thermodynamical quantities in a simple and natural way. We then show that cosmological constant must decrease when one takes into account the quantum effect. These observations have been obtained if and only if cosmological constant plays the role of a thermodynamical state variable. We also touch upon the relation between inflation of our universe and a phase transition of black holes.

[ { "created": "Sat, 25 Feb 2006 13:04:55 GMT", "version": "v1" }, { "created": "Wed, 22 Mar 2006 05:25:20 GMT", "version": "v2" }, { "created": "Mon, 10 Apr 2006 09:13:44 GMT", "version": "v3" } ]

2007-05-23

[ [ "Sekiwa", "Yuichi", "" ] ]

We study the thermodynamic properties associated with the black hole event horizon and the cosmological horizon for black hole solutions in asymptotically de Sitter spacetimes. We examine thermodynamics of these horizons on the basis of the conserved charges according to Teitelboim's method. In particular, we have succeeded in deriving the generalized Smarr formula among thermodynamical quantities in a simple and natural way. We then show that cosmological constant must decrease when one takes into account the quantum effect. These observations have been obtained if and only if cosmological constant plays the role of a thermodynamical state variable. We also touch upon the relation between inflation of our universe and a phase transition of black holes.

7.726812

8.601282

8.0012

7.989336

9.103196

8.82607

8.430962

8.631482

8.286965

8.270186

7.985074

7.701301

7.666405

7.625686

7.569744

7.994555

7.674814

7.513412

7.483682

7.593025

7.611938

0705.0747

David Campo

David Campo, Jens Niemeyer, and Renaud Parentani

Damped Corrections to Inflationary Spectra from a Fluctuating Cutoff

null

Phys.Rev.D76:023513,2007

10.1103/PhysRevD.76.023513

null

hep-th

null

We reconsider trans-Planckian corrections to inflationary spectra by taking into account a physical effect which has been overlooked and which could have important consequences. We assume that the short length scale characterizing the new physics is endowed with a finite width, the origin of which could be found in quantum gravity. As a result, the leading corrections responsible for superimposed osillations in the CMB temperature anisotropies are generically damped by the blurring of the UV scale. To determine the observational ramifications of this damping, we compare it to that which effectively occurs when computing the angular power spectrum of temperature anisotropies. The former gives an overall change of the oscillation amplitudes whereas the latter depends on the angular scale. Therefore, in principle they could be distinguished. In any case, the observation of superimposed oscillations would place tight constraint on the variance of the UV cutoff.

[ { "created": "Sat, 5 May 2007 13:35:30 GMT", "version": "v1" } ]

2008-11-26

[ [ "Campo", "David", "" ], [ "Niemeyer", "Jens", "" ], [ "Parentani", "Renaud", "" ] ]

We reconsider trans-Planckian corrections to inflationary spectra by taking into account a physical effect which has been overlooked and which could have important consequences. We assume that the short length scale characterizing the new physics is endowed with a finite width, the origin of which could be found in quantum gravity. As a result, the leading corrections responsible for superimposed osillations in the CMB temperature anisotropies are generically damped by the blurring of the UV scale. To determine the observational ramifications of this damping, we compare it to that which effectively occurs when computing the angular power spectrum of temperature anisotropies. The former gives an overall change of the oscillation amplitudes whereas the latter depends on the angular scale. Therefore, in principle they could be distinguished. In any case, the observation of superimposed oscillations would place tight constraint on the variance of the UV cutoff.

11.098722

12.065631

11.521041

10.799035

10.932817

10.759899

11.000758

10.442812

11.269929

12.499032

11.005738

10.475139

10.617446

10.498011

10.436781

10.304369

10.428944

10.228707

10.591042

10.784131

10.283426

hep-th/9610190

Valerie Nowak

Stephen L. Adler

Frustrated SU(4) as the Preonic Precursor of the Standard Model

36 pages, plain TEX, no figures

null

IASSNS-HEP-96/104

hep-th

null

We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplets is motivated by the possibility of embedding them in an N=6 supergravity multiplet. Hypercolor singlets are forbidden in the fermionic sector of this theory; we propose that SU(4) symmetry spontaneously breaks to $SU(3) \times U(1)$, with the binding of triality nonzero preons and gluons into composites, and with the formation of a color singlet condensate that breaks the initial $Z_{12}$ vacuum symmetry to $Z_{6}$. The spin 1/2 fermionic composites have the triality structure of a quark lepton family, and the initial $Z_{12}$ symmetry implies that there are six massless families, which mix to give three distinct families, two massless with massive partners and one with both states massive, at the scale of the condensate. The spin 1 triality zero composites of the color triplet SU(4) gluons, when coupled to the condensate and with the color singlet representation of the 10 acting as a doorway state, lead to weak interactions of the fermionic composites through an exact SU(2) gauge algebra. The initial $Z_{12}$ symmetry implies that this SU(2) gauge algebra structure is doubled, which in turn requires that the corresponding independent gauge bosons must couple to chiral components of the composite fermions. Since the U(1) couples to the 10 representation as $B-L$, an effective $SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ electroweak theory arises at the condensate scale, with all composites having the correct electric charge structure. A renormalization group analysis shows that the conversion by binding of one 10 of SU(4) to 12 triplets of SU(3) can give a very large, calculable hierarchy ratio between

[ { "created": "Thu, 24 Oct 1996 18:08:20 GMT", "version": "v1" }, { "created": "Fri, 25 Oct 1996 15:30:45 GMT", "version": "v2" }, { "created": "Thu, 20 Feb 1997 20:38:28 GMT", "version": "v3" }, { "created": "Fri, 2 May 1997 15:45:15 GMT", "version": "v4" } ]

2016-09-06

[ [ "Adler", "Stephen L.", "" ] ]

We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplets is motivated by the possibility of embedding them in an N=6 supergravity multiplet. Hypercolor singlets are forbidden in the fermionic sector of this theory; we propose that SU(4) symmetry spontaneously breaks to $SU(3) \times U(1)$, with the binding of triality nonzero preons and gluons into composites, and with the formation of a color singlet condensate that breaks the initial $Z_{12}$ vacuum symmetry to $Z_{6}$. The spin 1/2 fermionic composites have the triality structure of a quark lepton family, and the initial $Z_{12}$ symmetry implies that there are six massless families, which mix to give three distinct families, two massless with massive partners and one with both states massive, at the scale of the condensate. The spin 1 triality zero composites of the color triplet SU(4) gluons, when coupled to the condensate and with the color singlet representation of the 10 acting as a doorway state, lead to weak interactions of the fermionic composites through an exact SU(2) gauge algebra. The initial $Z_{12}$ symmetry implies that this SU(2) gauge algebra structure is doubled, which in turn requires that the corresponding independent gauge bosons must couple to chiral components of the composite fermions. Since the U(1) couples to the 10 representation as $B-L$, an effective $SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ electroweak theory arises at the condensate scale, with all composites having the correct electric charge structure. A renormalization group analysis shows that the conversion by binding of one 10 of SU(4) to 12 triplets of SU(3) can give a very large, calculable hierarchy ratio between

8.515176

9.894076

9.266998

8.644478

9.036695

9.439314

8.888414

9.135494

8.937136

9.737179

8.796444

8.607623

8.340427

8.417459

8.340527

8.599117

8.634483

8.561823

8.425938

8.372506

8.450164

1612.06510

Damiano Anselmi

Ugo G. Aglietti and Damiano Anselmi

Inconsistency of Minkowski higher-derivative theories

24 pages, 1 figure; v2: minor changes, EPJC

Eur. Phys. J. C (2017) 77:84

10.1140/epjc/s10052-017-4646-7

null

hep-th hep-ph

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

We show that Minkowski higher-derivative quantum field theories are generically inconsistent, because they generate nonlocal, non-Hermitian ultraviolet divergences, which cannot be removed by means of standard renormalization procedures. By "Minkowski theories" we mean theories that are defined directly in Minkowski spacetime. The problems occur when the propagators have complex poles, so that the correlation functions cannot be obtained as the analytic continuations of their Euclidean versions. The usual power counting rules fail and are replaced by much weaker ones. Self-energies generate complex divergences proportional to inverse powers of D'Alembertians. Three-point functions give more involved nonlocal divergences, which couple to infrared effects. We illustrate the violations of the locality and Hermiticity of counterterms in scalar models and higher-derivative gravity.

[ { "created": "Tue, 20 Dec 2016 05:01:39 GMT", "version": "v1" }, { "created": "Fri, 10 Feb 2017 16:26:07 GMT", "version": "v2" } ]

2017-02-13

[ [ "Aglietti", "Ugo G.", "" ], [ "Anselmi", "Damiano", "" ] ]

We show that Minkowski higher-derivative quantum field theories are generically inconsistent, because they generate nonlocal, non-Hermitian ultraviolet divergences, which cannot be removed by means of standard renormalization procedures. By "Minkowski theories" we mean theories that are defined directly in Minkowski spacetime. The problems occur when the propagators have complex poles, so that the correlation functions cannot be obtained as the analytic continuations of their Euclidean versions. The usual power counting rules fail and are replaced by much weaker ones. Self-energies generate complex divergences proportional to inverse powers of D'Alembertians. Three-point functions give more involved nonlocal divergences, which couple to infrared effects. We illustrate the violations of the locality and Hermiticity of counterterms in scalar models and higher-derivative gravity.

6.123899

6.814498

6.888628

6.369977

6.693297

7.256557

6.497846

6.474343

6.551578

7.688565

5.991725

6.463374

6.400669

6.285319

6.416499

6.488326

6.186884

6.516138

6.396471

6.710783

6.275789

hep-th/9804007

Philip C. Argyres

Philip C. Argyres and Alex Buchel

Deriving N=2 S-dualities from Scaling for Product Gauge Groups

19 pages latex and 1 figure using psfig.sty. References added

Phys.Lett. B431 (1998) 317-328

10.1016/S0370-2693(98)00587-5

CLNS-98/1554

hep-th

null

S-dualities in scale invariant N=2 supersymmetric field theories with product gauge groups are derived by embedding those theories in asymptotically free theories with higher rank gauge groups. S-duality transformations on the couplings of the scale invariant theory follow from the geometry of the embedding of the scale invariant theory in the Coulomb branch of the asymptotically free theory.

[ { "created": "Wed, 1 Apr 1998 19:04:29 GMT", "version": "v1" }, { "created": "Thu, 2 Apr 1998 16:55:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Argyres", "Philip C.", "" ], [ "Buchel", "Alex", "" ] ]

S-dualities in scale invariant N=2 supersymmetric field theories with product gauge groups are derived by embedding those theories in asymptotically free theories with higher rank gauge groups. S-duality transformations on the couplings of the scale invariant theory follow from the geometry of the embedding of the scale invariant theory in the Coulomb branch of the asymptotically free theory.

7.790285

5.203372

7.075742

5.846181

6.098196

5.981817

5.517775

4.885352

5.141295

7.0043

5.99999

5.835159

6.199959

5.94083

6.098627

6.030731

5.910666

5.82415

6.130973

6.717679

6.157839

hep-th/0112051

A. Raffaele Fazio

A.R. Fazio, S.P. Sorella

Remarks on monopoles in Abelian projected continuum Yang-Mills theories

Contribution to LHP2001, 9-18 July 2001, Cairns, Australia

Nucl.Phys.Proc.Suppl. 109A (2002) 121-123

10.1016/S0920-5632(02)01400-7

IFUM-703-FT

hep-th

null

A possible mechanism accounting for monopole configurations in continuum Yang-Mills theories is discussed. The presence of the gauge fixing term is taken into account.

[ { "created": "Thu, 6 Dec 2001 22:20:15 GMT", "version": "v1" } ]

2009-11-07

[ [ "Fazio", "A. R.", "" ], [ "Sorella", "S. P.", "" ] ]

A possible mechanism accounting for monopole configurations in continuum Yang-Mills theories is discussed. The presence of the gauge fixing term is taken into account.

22.186647

15.774617

15.188134

13.192972

11.707053

13.392009

12.299431

12.889527

13.980619

15.315551

13.261503

14.814141

14.823659

14.00156

14.628166

14.801526

15.353604

14.697153

14.574371

15.397605

14.297518

hep-th/0109207

Philippe Brax

Ph. Brax, J. Martin and A. Riazuelo

Quintessence Model Building

14 pages, to appear in the proceedings of the sixth workshop of the American University of Paris

null

10.1142/9789812778352_0043

CERN-TH/2001-258, T/01-103

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

null

A short review of some of the aspects of quintessence model building is presented. We emphasize the role of tracking models and their possible supersymmetric origin.

[ { "created": "Thu, 27 Sep 2001 12:31:31 GMT", "version": "v1" } ]

2017-08-23

[ [ "Brax", "Ph.", "" ], [ "Martin", "J.", "" ], [ "Riazuelo", "A.", "" ] ]

A short review of some of the aspects of quintessence model building is presented. We emphasize the role of tracking models and their possible supersymmetric origin.

17.728767

12.9736

13.056108

11.669639

11.115537

11.670139

11.900826

12.374164

10.239128

11.382827

11.984935

11.963686

12.364715

11.674882

11.485171

12.755401

12.369724

11.900679

11.307328

11.589259

11.920167

hep-th/9308002

Sylvie Zaffanella

Sergey V. Shabanov

Phase space structure and the path integral for gauge theories on a cylinder

Saclay-T93/078

Phys.Lett. B318 (1993) 323-330

10.1016/0370-2693(93)90135-5

null

hep-th

null

The physical phase space of gauge field theories on a cylindrical spacetime with an arbitrary compact simple gauge group is shown to be the quotient $ {\bf R}^{2r}/W_A, $ $ r $ a rank of the gauge group, $ W_A $ the affine Weyl group. The PI formula resulting from Dirac's operator method contains a symmetrization with respect to $ W_A $ rather than the integration domain reduction. It gives a natural solution to Gribov's problem. Some features of fermion quantum dynamics caused by the nontrivial phase space geometry are briefly discussed.

[ { "created": "Mon, 2 Aug 1993 04:27:34 GMT", "version": "v1" } ]

2009-10-22

[ [ "Shabanov", "Sergey V.", "" ] ]

The physical phase space of gauge field theories on a cylindrical spacetime with an arbitrary compact simple gauge group is shown to be the quotient $ {\bf R}^{2r}/W_A, $ $ r $ a rank of the gauge group, $ W_A $ the affine Weyl group. The PI formula resulting from Dirac's operator method contains a symmetrization with respect to $ W_A $ rather than the integration domain reduction. It gives a natural solution to Gribov's problem. Some features of fermion quantum dynamics caused by the nontrivial phase space geometry are briefly discussed.

14.440293

12.442876

15.038847

11.57725

13.451343

12.740556

12.668511

11.545238

12.568818

13.899146

12.631442

12.056714

13.438975

12.748544

12.934817

12.402534

12.20136

13.033618

12.626946

13.600304

12.944081

hep-th/0108056

Tetsuya Shiromizu

Daisuke Ida, Tetsuya Shiromizu, Hirotaka Ochiai

Semiclassical instability of the brane-world: Randall-Sundrum bubbles

4 pages, 3 figures, two references added

Phys.Rev. D65 (2002) 023504

10.1103/PhysRevD.65.023504

UTAP-397, RESCEU-18/01

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

null

We discuss the semiclassical instability of the Randall-Sundrum brane-world model against a creation of a kind of Kaluza-Klein bubble. An example describing such a bubble space-time is constructed from the five-dimensional AdS-Schwarzschild metric. The induced geometry of the brane looks like the Einstein-Rosen bridge, which connects the positive and the negative tension branes. The bubble rapidly expands and there also form a trapped region around it.

[ { "created": "Thu, 9 Aug 2001 01:32:31 GMT", "version": "v1" }, { "created": "Sun, 12 Aug 2001 05:33:04 GMT", "version": "v2" } ]

2009-11-07

[ [ "Ida", "Daisuke", "" ], [ "Shiromizu", "Tetsuya", "" ], [ "Ochiai", "Hirotaka", "" ] ]

We discuss the semiclassical instability of the Randall-Sundrum brane-world model against a creation of a kind of Kaluza-Klein bubble. An example describing such a bubble space-time is constructed from the five-dimensional AdS-Schwarzschild metric. The induced geometry of the brane looks like the Einstein-Rosen bridge, which connects the positive and the negative tension branes. The bubble rapidly expands and there also form a trapped region around it.

10.758908

10.209925

10.325299

9.465197

9.518691

9.743279

10.2892

9.920399

10.149653

10.745132

9.979598

9.726514

9.952476

9.533346

9.354047

9.62239

9.588697

9.679649

9.67942

9.567277

9.367922

1808.03217

Amir Masoud Ghezelbash

Michael Butler, Masoud Ghezelbash, Erfan Massaeli, Maysam Motaharfar

Atiyah-Hitchin in Five Dimensional Einstein-Gauss-Bonnet Gravity

16 pages, 5 figures

Modern Physics Letters A 33 (2019) 1950232

10.1142/S0217732319502328

null

hep-th gr-qc

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

We construct a new class of stationary exact solutions to five-dimensional Einstein-Gauss-Bonnet gravity. The solutions are based on four-dimensional self-dual Atiyah-Hitchin geometry. We find analytical solutions to the five-dimensional metric function that are regular everywhere. We find some constraints on the possible physical solutions by investigating the solutions numerically. We also study the behavior of the solutions in the extremal limits of the Atiyah-Hitchin geometry. In the extremal limits, the Atiyah-Hitchin metric reduces to a bolt structure and Euclidean Taub-NUT space, respectively. In these limits, the five-dimensional metric function approaches to a constant value and infinity, respectively. We find the asymptotic metrics are regular everywhere.

[ { "created": "Thu, 9 Aug 2018 16:13:18 GMT", "version": "v1" }, { "created": "Mon, 13 Aug 2018 01:18:36 GMT", "version": "v2" } ]

2019-07-22

[ [ "Butler", "Michael", "" ], [ "Ghezelbash", "Masoud", "" ], [ "Massaeli", "Erfan", "" ], [ "Motaharfar", "Maysam", "" ] ]

We construct a new class of stationary exact solutions to five-dimensional Einstein-Gauss-Bonnet gravity. The solutions are based on four-dimensional self-dual Atiyah-Hitchin geometry. We find analytical solutions to the five-dimensional metric function that are regular everywhere. We find some constraints on the possible physical solutions by investigating the solutions numerically. We also study the behavior of the solutions in the extremal limits of the Atiyah-Hitchin geometry. In the extremal limits, the Atiyah-Hitchin metric reduces to a bolt structure and Euclidean Taub-NUT space, respectively. In these limits, the five-dimensional metric function approaches to a constant value and infinity, respectively. We find the asymptotic metrics are regular everywhere.

7.151597

7.07605

7.435204

6.441925

7.045403

7.159271

6.65706

6.488732

6.961389

7.700164

6.437556

7.015061

7.471439

6.918547

6.977803

6.821776

6.869088

6.909664

6.776431

7.441149

6.791415

1207.1215

Yu. M. Zinoviev

I. L. Buchbinder, T. V. Snegirev, Yu. M. Zinoviev

Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space

12 pages

Phys. Lett. B716 (2012) 243-248

10.1016/j.physletb.2012.08.022

null

hep-th

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

We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the gauge transformation laws are found. The theory can be written in terms of gauge-invariant objects similar to the massless theories, thus allowing us to hope to use the same methods for investigation of interactions. In the massive spin 3 field example we are able to rewrite the Lagrangian using the new the so-called separated variables, so that the study of Lagrangian formulation reduces to finding the Lagrangian containing only half of the fields. The same construction takes places for arbitrary integer spin field as well. Further working in terms of separated variables, we build Lagrangian for arbitrary integer spin and write it in terms of gauge-invariant objects. Also, we demonstrate how to restore the full set of variables, thus receiving Lagrangian for the massive fields of arbitrary spin in the terms of initial fields.

[ { "created": "Thu, 5 Jul 2012 10:41:56 GMT", "version": "v1" } ]

2015-06-05

[ [ "Buchbinder", "I. L.", "" ], [ "Snegirev", "T. V.", "" ], [ "Zinoviev", "Yu. M.", "" ] ]

We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the gauge transformation laws are found. The theory can be written in terms of gauge-invariant objects similar to the massless theories, thus allowing us to hope to use the same methods for investigation of interactions. In the massive spin 3 field example we are able to rewrite the Lagrangian using the new the so-called separated variables, so that the study of Lagrangian formulation reduces to finding the Lagrangian containing only half of the fields. The same construction takes places for arbitrary integer spin field as well. Further working in terms of separated variables, we build Lagrangian for arbitrary integer spin and write it in terms of gauge-invariant objects. Also, we demonstrate how to restore the full set of variables, thus receiving Lagrangian for the massive fields of arbitrary spin in the terms of initial fields.

10.239798

9.200102

11.086072

9.326214

9.7692

9.634701

9.279524

9.387779

9.682074

11.68175

9.669724

9.185762

10.123786

9.420555

9.579569

9.412822

9.545956

9.533749

9.339431

10.490903

9.351144

hep-th/9807217

Cesar Daniel Fosco

C.D. Fosco and A. Lopez

Dirac Fermions and Domain Wall Defects in 2+1 Dimensions

23 pages, 1 Postscript figure

Nucl.Phys. B538 (1999) 685-700

10.1016/S0550-3213(98)00733-0

CAB 2906698

hep-th

null

We investigate some properties of a system of Dirac fermions in 2+1 dimensions, with a space dependent mass having domain wall like defects.These defects are defined by the loci of the points where the mass changes sign. In general, they will be curves lying on the spatial plane. We show how to treat the dynamics of the fermions in such a way that the existence of localized fermionic zero modes on the defects is transparent. Moreover, effects due to the higher, non zero modes, can be quantitatively studied. We also consider the relevance of the profile of the mass near the region where it changes sign. Finally, we apply our general results to the calculation of the induced fermionic current, in the linear response approximation, in the presence of an external electric field and defects.

[ { "created": "Wed, 29 Jul 1998 13:32:46 GMT", "version": "v1" } ]

2009-10-31

[ [ "Fosco", "C. D.", "" ], [ "Lopez", "A.", "" ] ]

We investigate some properties of a system of Dirac fermions in 2+1 dimensions, with a space dependent mass having domain wall like defects.These defects are defined by the loci of the points where the mass changes sign. In general, they will be curves lying on the spatial plane. We show how to treat the dynamics of the fermions in such a way that the existence of localized fermionic zero modes on the defects is transparent. Moreover, effects due to the higher, non zero modes, can be quantitatively studied. We also consider the relevance of the profile of the mass near the region where it changes sign. Finally, we apply our general results to the calculation of the induced fermionic current, in the linear response approximation, in the presence of an external electric field and defects.

9.031583

8.970506

8.830808

7.840576

8.838146

7.8215

8.596684

8.227155

7.600498

9.190383

8.273163

8.155843

8.808003

8.731333

8.551474

8.329355

8.196759

8.498574

8.54507

8.711535

8.232103

1612.09559

Rolf Schimmrigk

Modular Inflation Observables and $j$-Inflation Phenomenology

39 pages, 3 figures. This extended version includes a detailed discussion of the almost holomorphic nature of the physical observables in modular invariant inflation theories

null

10.1007/JHEP09(2017)043

null

hep-th astro-ph.CO

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

Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ${\cal R}$ and the isocurvature perturbation tensor $S^{IJ}$. This paper describes the dynamics and observables of these perturbations and considers in some detail the special case of modular inflation as an extensive class of two-field inflation theories with a conformally flat target space. It is shown that the nonmodular nature of derivatives of modular forms leads to CMB observables in modular invariant inflation theories that are in general constructed from almost holomorphic modular forms. The phenomenology of the model of $j$-inflation is compared to the recent observational constraints from the Planck satellite and the BICEP2/Keck Array data.

[ { "created": "Fri, 30 Dec 2016 18:54:59 GMT", "version": "v1" }, { "created": "Tue, 27 Jun 2017 21:54:34 GMT", "version": "v2" } ]

2019-01-01

[ [ "Schimmrigk", "Rolf", "" ] ]

Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ${\cal R}$ and the isocurvature perturbation tensor $S^{IJ}$. This paper describes the dynamics and observables of these perturbations and considers in some detail the special case of modular inflation as an extensive class of two-field inflation theories with a conformally flat target space. It is shown that the nonmodular nature of derivatives of modular forms leads to CMB observables in modular invariant inflation theories that are in general constructed from almost holomorphic modular forms. The phenomenology of the model of $j$-inflation is compared to the recent observational constraints from the Planck satellite and the BICEP2/Keck Array data.

12.866409

12.929185

12.38797

11.62337

13.324954

14.02868

11.965235

12.176344

11.940556

13.630565

11.90269

12.003145

11.769827

11.624866

11.963472

11.979667

11.840786

11.722882

11.736278

11.632153

11.852538

1103.2708

Arutyunov Gleb E

Gleb Arutyunov and Sergey Frolov

Comments on the Mirror TBA

28 pages, 1 figure, v2: misprints are corrected

null

10.1007/JHEP05(2011)082

ITP-UU-11-08, TCDMATH 11-04, HMI-11-03

hep-th

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

We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS_5 \times S^5 strings and, via the AdS/CFT correspondence, the spectrum of scaling dimensions of N = 4 SYM local operators. We observe that auxiliary roots which are used to partially enumerate solutions of the Bethe-Yang equations do not play any role in engineering excited state TBA equations via the contour deformation trick. We further argue that the TBA equations are in fact written not for a particular string state but for the whole superconformal multiplet, and, therefore, the psu(2,2|4) invariance is built in into the TBA construction.

[ { "created": "Mon, 14 Mar 2011 16:48:01 GMT", "version": "v1" }, { "created": "Wed, 31 Aug 2011 14:41:06 GMT", "version": "v2" } ]

2015-05-27

[ [ "Arutyunov", "Gleb", "" ], [ "Frolov", "Sergey", "" ] ]

We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS_5 \times S^5 strings and, via the AdS/CFT correspondence, the spectrum of scaling dimensions of N = 4 SYM local operators. We observe that auxiliary roots which are used to partially enumerate solutions of the Bethe-Yang equations do not play any role in engineering excited state TBA equations via the contour deformation trick. We further argue that the TBA equations are in fact written not for a particular string state but for the whole superconformal multiplet, and, therefore, the psu(2,2|4) invariance is built in into the TBA construction.

8.531984

7.877161

9.412538

7.861138

8.149821

7.618551

7.615239

8.26471

8.379607

10.44768

7.745218

8.264832

8.330152

7.97942

7.908166

8.092004

8.071475

7.960555

8.399755

7.927198

7.929325

1604.06125

Nobuyuki Sawado

Yuki Amari, Pawel Klimas, and Nobuyuki Sawado

Collective coordinate quantization and spin statistics of the solitons in the $\mathbb{C}P^N$ Skyrme-Faddeev model

15 pages, 7 figures, Published version

Phys. Rev. D 94, 025032 (2016)

10.1103/PhysRevD.94.025032

null

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

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

The $\mathbb{C}P^N$ extended Skyrme-Faddeev model possesses planar soliton solutions. We consider quantum aspects of the solutions applying collective coordinate quantization in regime of rigid body approximation. In order to discuss statistical properties of the solutions we include an Abelian Chern-Simons term (the Hopf term) in the Lagrangian. Since $\Pi_3(\mathbb{C}P^1)=\mathbb{Z}$ then for $N=1$ the term becomes an integer. On the other hand for $N>1$ it became perturbative because $\Pi_3(\mathbb{C}P^N)$ is trivial. The prefactor of the Hopf term (anyon angle) $\Theta$ is not quantized and its value depends on the physical system. The corresponding fermionic models can fix value of the angle $\Theta$ for all $N$ in a way that the soliton with $N=1$ is not an anyon type whereas for $N>1$ it is always an anyon even for $\Theta=n\pi, n\in \mathbb{Z}$. We quantize the solutions and calculate several mass spectra for $N=2$. Finally we discuss generalization for $N\geqq 3$.

[ { "created": "Wed, 20 Apr 2016 21:18:05 GMT", "version": "v1" }, { "created": "Fri, 5 Aug 2016 04:46:02 GMT", "version": "v2" } ]

2016-08-08

[ [ "Amari", "Yuki", "" ], [ "Klimas", "Pawel", "" ], [ "Sawado", "Nobuyuki", "" ] ]

The $\mathbb{C}P^N$ extended Skyrme-Faddeev model possesses planar soliton solutions. We consider quantum aspects of the solutions applying collective coordinate quantization in regime of rigid body approximation. In order to discuss statistical properties of the solutions we include an Abelian Chern-Simons term (the Hopf term) in the Lagrangian. Since $\Pi_3(\mathbb{C}P^1)=\mathbb{Z}$ then for $N=1$ the term becomes an integer. On the other hand for $N>1$ it became perturbative because $\Pi_3(\mathbb{C}P^N)$ is trivial. The prefactor of the Hopf term (anyon angle) $\Theta$ is not quantized and its value depends on the physical system. The corresponding fermionic models can fix value of the angle $\Theta$ for all $N$ in a way that the soliton with $N=1$ is not an anyon type whereas for $N>1$ it is always an anyon even for $\Theta=n\pi, n\in \mathbb{Z}$. We quantize the solutions and calculate several mass spectra for $N=2$. Finally we discuss generalization for $N\geqq 3$.

8.142724

7.18217

8.353662

7.207767

7.290145

7.424954

7.170827

7.315036

7.437062

8.393278

7.243482

7.530924

7.795959

7.419863

7.472692

7.845225

7.389179

7.39766

7.476676

7.674295

7.580381

hep-th/0210066

Tetsuya Shiromizu

Tetsuya Shiromizu, Kazuya Koyama

Low energy effective theory for two branes system

5 pages, comments added, to appear in Phy. Rev. D

Phys.Rev. D67 (2003) 084022

10.1103/PhysRevD.67.084022

null

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

null

We derive the low energy effective theory for two branes system solving the bulk geometry formally in the covariant curvature formalism developed by Shiromizu, Maeda and Sasaki. As expected, the effective theory looks like a Einstein-scalar system. Using this theory we can discuss the cosmology and non-linear gravity at low energy scales.

[ { "created": "Tue, 8 Oct 2002 05:59:25 GMT", "version": "v1" }, { "created": "Thu, 10 Oct 2002 05:28:18 GMT", "version": "v2" }, { "created": "Mon, 3 Feb 2003 01:19:49 GMT", "version": "v3" } ]

2009-11-07

[ [ "Shiromizu", "Tetsuya", "" ], [ "Koyama", "Kazuya", "" ] ]

We derive the low energy effective theory for two branes system solving the bulk geometry formally in the covariant curvature formalism developed by Shiromizu, Maeda and Sasaki. As expected, the effective theory looks like a Einstein-scalar system. Using this theory we can discuss the cosmology and non-linear gravity at low energy scales.

17.384893

16.114626

14.809215

13.502515

13.752481

12.928116

13.520033

12.760963

13.219074

16.483952

12.682407

13.800336

14.715916

14.176902

14.800241

14.477729

14.308611

13.86175

14.482283

14.493418

14.089594

1606.00394

Yuri Chervonyi

Yuri Chervonyi, Oleg Lunin

Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset

31 pages, v2: references added

null

10.1016/j.nuclphysb.2016.07.023

null

hep-th gr-qc

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

We construct the solution of type IIB supergravity describing the integrable lambda-deformation of the AdS_3 x S^3 supercoset. While the geometry corresponding to the deformation of the bosonic coset has been found in the past, our background is more natural for studying superstrings, and several interesting features distinguish our solution from its bosonic counterpart. We also report progress towards constructing the lambda-deformation of the AdS_5 x S^5 supercoset.

[ { "created": "Wed, 1 Jun 2016 18:50:21 GMT", "version": "v1" }, { "created": "Mon, 27 Jun 2016 22:20:03 GMT", "version": "v2" } ]

2016-08-24

[ [ "Chervonyi", "Yuri", "" ], [ "Lunin", "Oleg", "" ] ]

We construct the solution of type IIB supergravity describing the integrable lambda-deformation of the AdS_3 x S^3 supercoset. While the geometry corresponding to the deformation of the bosonic coset has been found in the past, our background is more natural for studying superstrings, and several interesting features distinguish our solution from its bosonic counterpart. We also report progress towards constructing the lambda-deformation of the AdS_5 x S^5 supercoset.

7.705108

7.558795

8.201824

6.62734

7.455643

7.442245

7.038611

6.509138

6.638371

9.17299

6.783597

6.635294

8.42069

6.713713

6.885012

6.738206

7.202834

6.881329

6.660019

8.300532

6.812017

hep-th/0509222

Alexei Deriglazov A

A. A. Deriglazov

Search for gauge symmetry generators of singular Lagrangian theory

34 pages

null

hep-th

null

We propose a procedure which allows one to construct local symmetry generators of general quadratic Lagrangian theory. Manifest recurrence relations for generators in terms of so-called structure matrices of the Dirac formalism are obtained. The procedure fulfilled in terms of initial variables of the theory, and do not implies either separation of constraints on first and second class subsets or any other choice of basis for constraints.

[ { "created": "Thu, 29 Sep 2005 17:09:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Deriglazov", "A. A.", "" ] ]

We propose a procedure which allows one to construct local symmetry generators of general quadratic Lagrangian theory. Manifest recurrence relations for generators in terms of so-called structure matrices of the Dirac formalism are obtained. The procedure fulfilled in terms of initial variables of the theory, and do not implies either separation of constraints on first and second class subsets or any other choice of basis for constraints.

23.057476

11.746238

22.922249

16.820133

11.318667

11.37606

10.126758

12.300132

14.564322

26.551003

16.665083

19.245899

23.49703

20.589497

18.299206

18.846523

18.360144

19.138506

19.604307

23.584314

20.680017

hep-th/0112122

Jerome Martin

Robert H Brandenberger, Sergio E. Joras and Jerome Martin

Trans-Planckian Physics and the Spectrum of Fluctuations in a Bouncing Universe

10 pages, 6 figures, RevTeX4. Analytical determination of the spectrum, corrected some typos, conclusions unchanged

Phys.Rev. D66 (2002) 083514

10.1103/PhysRevD.66.083514

null

hep-th

null

In this paper, we calculate the spectrum of scalar field fluctuations in a bouncing, asymptotically flat Universe, and investigate the dependence of the result on changes in the physics on length scales shorter than the Planck length which are introduced via modifications of the dispersion relation. In this model, there are no ambiguities concerning the choice of the initial vacuum state. We study an example in which the final spectrum of fluctuations depends sensitively on the modifications of the dispersion relation without needing to invoke complex frequencies. Changes in the amplitude and in the spectral index are possible, in addition to modulations of the spectrum. This strengthens the conclusions of previous work in which the spectrum of cosmological perturbations in expanding inflationary cosmologies was studied, and it was found that, for dispersion relations for which the evolution is not adiabatic, the spectrum changes from the standard prediction of scale-invariance.

[ { "created": "Fri, 14 Dec 2001 09:10:56 GMT", "version": "v1" }, { "created": "Fri, 18 Jan 2002 13:06:33 GMT", "version": "v2" } ]

2009-11-07

[ [ "Brandenberger", "Robert H", "" ], [ "Joras", "Sergio E.", "" ], [ "Martin", "Jerome", "" ] ]

In this paper, we calculate the spectrum of scalar field fluctuations in a bouncing, asymptotically flat Universe, and investigate the dependence of the result on changes in the physics on length scales shorter than the Planck length which are introduced via modifications of the dispersion relation. In this model, there are no ambiguities concerning the choice of the initial vacuum state. We study an example in which the final spectrum of fluctuations depends sensitively on the modifications of the dispersion relation without needing to invoke complex frequencies. Changes in the amplitude and in the spectral index are possible, in addition to modulations of the spectrum. This strengthens the conclusions of previous work in which the spectrum of cosmological perturbations in expanding inflationary cosmologies was studied, and it was found that, for dispersion relations for which the evolution is not adiabatic, the spectrum changes from the standard prediction of scale-invariance.

9.569509

10.281823

9.383306

9.242795

10.506702

10.371076

10.357287

9.162837

9.009425

10.569272

9.675409

9.619477

9.211753

9.387055

9.299561

9.21573

9.406828

9.442359

9.227666

9.079739

9.049351

0909.4857

Yang Zhou

Sang-Jin Sin, Shan-Shan Xu, Yang Zhou

Holographic Superconductor for a Lifshitz fixed point

14 pages, 4 figures, v4: improved version, references added

Int.J.Mod.Phys.A26:4617-4631,2011

10.1142/S0217751X11054632

USTC-ICTS-09-13

hep-th

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

We consider the gravity dual of strongly coupled system at a Lifshitz-fixed point and finite temperature, which was constructed in a recent work arXiv:0909.0263. We construct an Abelian Higgs model in that background and calculate condensation and conductivity using holographic techniques. We find that condensation happens and DC conductivity blows up when temperature turns below a critical value.

[ { "created": "Sat, 26 Sep 2009 11:14:12 GMT", "version": "v1" }, { "created": "Sat, 17 Oct 2009 11:35:32 GMT", "version": "v2" }, { "created": "Sun, 27 Dec 2009 07:04:48 GMT", "version": "v3" }, { "created": "Sun, 8 May 2011 01:46:32 GMT", "version": "v4" } ]

2011-10-27

[ [ "Sin", "Sang-Jin", "" ], [ "Xu", "Shan-Shan", "" ], [ "Zhou", "Yang", "" ] ]

We consider the gravity dual of strongly coupled system at a Lifshitz-fixed point and finite temperature, which was constructed in a recent work arXiv:0909.0263. We construct an Abelian Higgs model in that background and calculate condensation and conductivity using holographic techniques. We find that condensation happens and DC conductivity blows up when temperature turns below a critical value.

13.103425

10.777563

14.995961

11.038613

11.805907

11.278202

11.487341

11.711774

10.344445

15.371654

11.290925

11.509821

12.06535

10.598243

11.072814

10.927899

11.380724

11.210831

11.040299

11.877994

10.885853

1812.04424

Sayid Mondal

Vinay Malvimat, Sayid Mondal and Gautam Sengupta

Time Evolution of Entanglement Negativity from Black Hole Interiors

25 pages and 10 figures

J. High Energ. Phys. (2019) 2019: 183

10.1007/JHEP05(2019)183

null

hep-th

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

We investigate the time evolution of entanglement negativity following a global quench for mixed state configurations of two disjoint and adjacent intervals in a ($1+1$)-dimensional conformal field theory ($CFT_{1+1}$) dual to the eternal black hole sliced in half by an end of the world brane, through the $AdS_3/CFT_2$ correspondence. To this end we obtain the time evolution of the holographic entanglement negativity for such mixed states from a dual bulk eternal black hole geometry and elucidate the relevant geodesic structures. The holographic entanglement negativity for such mixed states, following a global quench is described by half of the results for the eternal black hole. Significantly, in this case our holographic results match exactly with the corresponding $CFT_{1+1}$ computations.

[ { "created": "Tue, 11 Dec 2018 14:25:25 GMT", "version": "v1" }, { "created": "Sat, 1 Jun 2019 10:16:45 GMT", "version": "v2" } ]

2019-06-04

[ [ "Malvimat", "Vinay", "" ], [ "Mondal", "Sayid", "" ], [ "Sengupta", "Gautam", "" ] ]

We investigate the time evolution of entanglement negativity following a global quench for mixed state configurations of two disjoint and adjacent intervals in a ($1+1$)-dimensional conformal field theory ($CFT_{1+1}$) dual to the eternal black hole sliced in half by an end of the world brane, through the $AdS_3/CFT_2$ correspondence. To this end we obtain the time evolution of the holographic entanglement negativity for such mixed states from a dual bulk eternal black hole geometry and elucidate the relevant geodesic structures. The holographic entanglement negativity for such mixed states, following a global quench is described by half of the results for the eternal black hole. Significantly, in this case our holographic results match exactly with the corresponding $CFT_{1+1}$ computations.

6.758012

5.214481

7.162293

5.541554

5.24024

5.188744

5.298707

5.415415

5.460423

8.483443

5.489081

5.671349

6.564819

5.886582

6.000641

6.00781

5.990481

5.917852

6.04264

6.838258

6.017748

0901.2984

F. Saueressig

Dario Benedetti, Pedro F. Machado, and Frank Saueressig

Asymptotic safety in higher-derivative gravity

8 pages; 1 figure; revised version

Mod.Phys.Lett.A24:2233-2241,2009

10.1142/S0217732309031521

PI-QG-115; ITP-UU-09/03; SPIN-09/03; IPhT-T09/012

hep-th gr-qc

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

We study the non-perturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The non-perturbative contributions to the $\beta$-functions shift the known perturbative ultraviolet fixed point into a non-trivial fixed point with three UV-attractive and one UV-repulsive eigendirections, consistent with the asymptotic safety conjecture of gravity. The implication of this transition on the unitarity problem, typically haunting higher-derivative gravity theories, is discussed.

[ { "created": "Tue, 20 Jan 2009 14:46:45 GMT", "version": "v1" }, { "created": "Tue, 7 Jul 2009 16:30:44 GMT", "version": "v2" } ]

2009-10-08

[ [ "Benedetti", "Dario", "" ], [ "Machado", "Pedro F.", "" ], [ "Saueressig", "Frank", "" ] ]

We study the non-perturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The non-perturbative contributions to the $\beta$-functions shift the known perturbative ultraviolet fixed point into a non-trivial fixed point with three UV-attractive and one UV-repulsive eigendirections, consistent with the asymptotic safety conjecture of gravity. The implication of this transition on the unitarity problem, typically haunting higher-derivative gravity theories, is discussed.

6.283552

6.149374

6.340321

6.007734

6.684412

5.931744

6.140299

5.870821

6.116956

7.68391

6.083896

6.220429

6.54301

6.06986

6.28385

6.408403

6.171745

6.364757

6.341462

6.476633

6.305744

1209.4512

Song He

Rong-Gen Cai, Shankhadeep Chakrabortty, Song He, Li Li

Some aspects of QGP phase in a hQCD model

31 pages,15 figures, LaTeX, Statements and figures have been improved. Accepted by JHEP

null

10.1007/JHEP02(2013)068

null

hep-th hep-ph

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

We continue to study the holographic QCD (hQCD) model, proposed in a previous paper, in an Einstein-Maxwell-Dilaton (EMD) system. In this paper we discuss some aspects of quark gluon plasma (QGP) in the hQCD model, such as drag force, jet quenching parameter and screening length. The results turn out to be consistent with those as expected in QCD qualitatively. By calculating free energy of the background black hole solution, we find that there exists a Hawking-Page phase transition between small black hole and big black hole when chemical potential $\mu $ is less than a critical one $ \mu_c$, and the phase transition is absent when chemical potential is beyond the critical one.

[ { "created": "Thu, 20 Sep 2012 12:37:55 GMT", "version": "v1" }, { "created": "Thu, 24 Jan 2013 02:33:10 GMT", "version": "v2" } ]

2015-06-11

[ [ "Cai", "Rong-Gen", "" ], [ "Chakrabortty", "Shankhadeep", "" ], [ "He", "Song", "" ], [ "Li", "Li", "" ] ]

We continue to study the holographic QCD (hQCD) model, proposed in a previous paper, in an Einstein-Maxwell-Dilaton (EMD) system. In this paper we discuss some aspects of quark gluon plasma (QGP) in the hQCD model, such as drag force, jet quenching parameter and screening length. The results turn out to be consistent with those as expected in QCD qualitatively. By calculating free energy of the background black hole solution, we find that there exists a Hawking-Page phase transition between small black hole and big black hole when chemical potential $\mu $ is less than a critical one $ \mu_c$, and the phase transition is absent when chemical potential is beyond the critical one.

6.089552

5.09364

5.55533

5.103692

4.964259

5.371332

5.239056

5.029151

5.25978

5.919147

5.205753

5.360182

5.509156

5.434708

5.432977

5.301505

5.148916

5.309483

5.434511

5.782608

5.361372

hep-th/0401018

Patricio Gaete

P.Gaete and E. Guendelman

A New Approach to Scale Symmetry Breaking and Confinement

Prepared for 3rd International Symposium on Quantum Theory and Symmetries (QTS3), University of Cincinnati, September 10-14, 2003

null

10.1142/9789812702340_0038

USM-TH-149

hep-th

null

Scale invariant theories which contain (in $4-D$) a four index field strength are considered. The integration of the equations of motion of these $4-index$ field strength gives rise to scale symmetry breaking. The phenomena of mass generation and confinement are possible consequences of this.

[ { "created": "Mon, 5 Jan 2004 14:51:18 GMT", "version": "v1" } ]

2017-08-23

[ [ "Gaete", "P.", "" ], [ "Guendelman", "E.", "" ] ]

Scale invariant theories which contain (in $4-D$) a four index field strength are considered. The integration of the equations of motion of these $4-index$ field strength gives rise to scale symmetry breaking. The phenomena of mass generation and confinement are possible consequences of this.

22.037521

19.751028

15.517611

14.75055

17.924688

24.851078

18.034967

14.232018

17.411942

16.961779

17.266216

18.527102

16.267416

15.851372

16.986229

16.987316

17.739697

17.103285

16.969439

15.932428

17.946505

hep-th/9309073

null

Kuo-Cheng Lee and Su-Long Nyeo

A Non-Principal Value Prescription for the Temporal Gauge

13 pages, NCKU-HEP/93-09

J.Math.Phys. 35 (1994) 2210-2217

10.1063/1.530884

null

hep-th

null

A non-principal value prescription is used to define the spurious singularities of Yang-Mills theory in the temporal gauge. Typical one-loop dimensionally-regularized temporal-gauge integrals in the prescription are explicitly calculated, and a regularization for the spurious gauge divergences is introduced. The divergent part of the one-loop self-energy is shown to be local and has the same form as that in the spatial axial gauge with the principal-value prescription. The renormalization of the theory is also briefly mentioned.

[ { "created": "Tue, 14 Sep 1993 03:38:18 GMT", "version": "v1" }, { "created": "Wed, 22 Jun 1994 15:09:49 GMT", "version": "v2" } ]

2009-10-22

[ [ "Lee", "Kuo-Cheng", "" ], [ "Nyeo", "Su-Long", "" ] ]

A non-principal value prescription is used to define the spurious singularities of Yang-Mills theory in the temporal gauge. Typical one-loop dimensionally-regularized temporal-gauge integrals in the prescription are explicitly calculated, and a regularization for the spurious gauge divergences is introduced. The divergent part of the one-loop self-energy is shown to be local and has the same form as that in the spatial axial gauge with the principal-value prescription. The renormalization of the theory is also briefly mentioned.

12.134444

10.356582

10.978359

9.184671

10.680009

10.98696

10.454304

10.054048

10.227849

12.35433

9.808191

9.470504

9.560266

9.433765

9.809354

9.49903

9.616722

9.372446

9.441159

10.396684

9.996117

1605.01407

Benedikt Richter

Gia Dvali, Cesar Gomez, Dieter Lust, Yasser Omar, Benedikt Richter

Universality of Black Hole Quantum Computing

25+5 pages

Fortschr. Phys. 65, 1600111 (2017)

10.1002/prop.201600111

LMU-ASC 03/16, MPP-2016-1

hep-th cond-mat.quant-gas gr-qc quant-ph

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

By analyzing the key properties of black holes from the point of view of quantum information, we derive a model-independent picture of black hole quantum computing. It has been noticed that this picture exhibits striking similarities with quantum critical condensates, allowing the use of a common language to describe quantum computing in both systems. We analyze such quantum computing by allowing coupling to external modes, under the condition that the external influence must be soft-enough in order not to offset the basic properties of the system. We derive model-independent bounds on some crucial time-scales, such as the times of gate operation, decoherence, maximal entanglement and total scrambling. We show that for black hole type quantum computers all these time-scales are of the order of the black hole half-life time. Furthermore, we construct explicitly a set of Hamiltonians that generates a universal set of quantum gates for the black hole type computer. We find that the gates work at maximal energy efficiency. Furthermore, we establish a fundamental bound on the complexity of quantum circuits encoded on these systems, and characterize the unitary operations that are implementable. It becomes apparent that the computational power is very limited due to the fact that the black hole life-time is of the same order of the gate operation time. As a consequence, it is impossible to retrieve its information, within the life-time of a black hole, by externally coupling to the black hole qubits. However, we show that, in principle, coupling to some of the internal degrees of freedom allows acquiring knowledge about the micro-state. Still, due to the trivial complexity of operations that can be performed, there is no time advantage over the collection of Hawking radiation and subsequent decoding.

[ { "created": "Wed, 4 May 2016 20:00:03 GMT", "version": "v1" } ]

2017-04-11

[ [ "Dvali", "Gia", "" ], [ "Gomez", "Cesar", "" ], [ "Lust", "Dieter", "" ], [ "Omar", "Yasser", "" ], [ "Richter", "Benedikt", "" ] ]

By analyzing the key properties of black holes from the point of view of quantum information, we derive a model-independent picture of black hole quantum computing. It has been noticed that this picture exhibits striking similarities with quantum critical condensates, allowing the use of a common language to describe quantum computing in both systems. We analyze such quantum computing by allowing coupling to external modes, under the condition that the external influence must be soft-enough in order not to offset the basic properties of the system. We derive model-independent bounds on some crucial time-scales, such as the times of gate operation, decoherence, maximal entanglement and total scrambling. We show that for black hole type quantum computers all these time-scales are of the order of the black hole half-life time. Furthermore, we construct explicitly a set of Hamiltonians that generates a universal set of quantum gates for the black hole type computer. We find that the gates work at maximal energy efficiency. Furthermore, we establish a fundamental bound on the complexity of quantum circuits encoded on these systems, and characterize the unitary operations that are implementable. It becomes apparent that the computational power is very limited due to the fact that the black hole life-time is of the same order of the gate operation time. As a consequence, it is impossible to retrieve its information, within the life-time of a black hole, by externally coupling to the black hole qubits. However, we show that, in principle, coupling to some of the internal degrees of freedom allows acquiring knowledge about the micro-state. Still, due to the trivial complexity of operations that can be performed, there is no time advantage over the collection of Hawking radiation and subsequent decoding.

10.120744

11.053545

11.045953

10.577105

11.282747

11.853966

11.363447

10.941403

10.54362

11.201611

10.585271

10.648088

10.555631

10.40957

10.631721

10.684453

10.665462

10.648046

10.490638

10.508872

10.70828

hep-th/9612207

Witold Skiba

Csaba Csaki (MIT), Martin Schmaltz (Boston U.) and Witold Skiba (MIT)

Confinement in N=1 SUSY Gauge Theories and Model Building Tools

41 pages, LaTeX; typos in Section 3.3 corrected, no major changes

Phys.Rev.D55:7840-7858,1997

10.1103/PhysRevD.55.7840

MIT-CTP-2597, BUHEP-96-46

hep-th hep-ph

null

We develop a systematic approach to confinement in N=1 supersymmetric theories. We identify simple necessary conditions for theories to confine without chiral symmetry breaking and to generate a superpotential non-perturbatively (s-confine). Applying these conditions we identify all N=1 theories with a single gauge group and no tree-level superpotential which s-confine. We give a complete list of the confined spectra and superpotentials. Some of these theories are of great interest for model building. We give several new examples of models which break supersymmetry dynamically.

[ { "created": "Thu, 19 Dec 1996 18:47:44 GMT", "version": "v1" }, { "created": "Thu, 20 Mar 1997 18:24:11 GMT", "version": "v2" } ]

2009-09-17

[ [ "Csaki", "Csaba", "", "MIT" ], [ "Schmaltz", "Martin", "", "Boston U." ], [ "Skiba", "Witold", "", "MIT" ] ]

We develop a systematic approach to confinement in N=1 supersymmetric theories. We identify simple necessary conditions for theories to confine without chiral symmetry breaking and to generate a superpotential non-perturbatively (s-confine). Applying these conditions we identify all N=1 theories with a single gauge group and no tree-level superpotential which s-confine. We give a complete list of the confined spectra and superpotentials. Some of these theories are of great interest for model building. We give several new examples of models which break supersymmetry dynamically.

7.295845

7.123606

7.35058

6.409041

6.652776

6.692295

6.454099

6.642503

6.397708

7.403222

6.537018

6.615658

7.042124

6.731903

6.625449

6.779263

6.62791

6.773555

6.763575

6.972781

7.050894

hep-th/0607153

Benjamin C. Harms

S. Fabi, B. Harms, and G. Karatheodoris

Dark Energy from Casimir Energy on Noncommutative Extra Dimensions

6 pages, RevTeX4

Phys.Rev. D74 (2006) 083506

10.1103/PhysRevD.74.083506

null

hep-th

null

We study the possibility that dark energy is a manifestation of the Casimir energy on extra dimensions with the topology of $S^2$. We consider our universe to be $M^4 \times S^2$ and modify the geometry by introducing noncommutativity on the extra dimensions only, i.e. replacing $S^2$ with the fuzzy version $S_{F}^2$. We find the energy density as a function of the size of the representation $M+1$ of the algebra of $S_{F}^2$, and we calculate its value for the $M+1=2$ case. The value of the energy density turns out to be positive, i.e. provides dark energy, and the size of the extra dimensions agrees with the experimental limit. We also recover the correct commutative limit as the noncommutative parameter goes to zero.

[ { "created": "Thu, 20 Jul 2006 23:21:20 GMT", "version": "v1" } ]

2009-11-11

[ [ "Fabi", "S.", "" ], [ "Harms", "B.", "" ], [ "Karatheodoris", "G.", "" ] ]

We study the possibility that dark energy is a manifestation of the Casimir energy on extra dimensions with the topology of $S^2$. We consider our universe to be $M^4 \times S^2$ and modify the geometry by introducing noncommutativity on the extra dimensions only, i.e. replacing $S^2$ with the fuzzy version $S_{F}^2$. We find the energy density as a function of the size of the representation $M+1$ of the algebra of $S_{F}^2$, and we calculate its value for the $M+1=2$ case. The value of the energy density turns out to be positive, i.e. provides dark energy, and the size of the extra dimensions agrees with the experimental limit. We also recover the correct commutative limit as the noncommutative parameter goes to zero.

6.421663

6.281515

6.043943

5.838843

5.896379

6.391521

5.972529

5.996554

6.156961

6.285221

6.097706

5.879079

6.040872

5.879737

5.984495

5.94934

6.154245

5.796118

6.094119

6.026971

5.880185

1512.07117

Tapobrata Sarkar

Anshuman Dey, Subhash Mahapatra, Tapobrata Sarkar

Thermodynamics and Entanglement Entropy with Weyl Corrections

1 + 21 Pages, LaTeX, 11 .eps figures

Phys. Rev. D 94, 026006 (2016)

10.1103/PhysRevD.94.026006

null

hep-th

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

We consider charged black holes in four dimensional AdS space, in the presence of a Weyl correction. We obtain the solution including the effect of back-reaction, perturbatively up to first order in the Weyl coupling, and study its thermodynamic properties. This is complemented by a calculation of the holographic entanglement entropy of the boundary theory. The consistency of results obtained from both computations is established.

[ { "created": "Tue, 22 Dec 2015 15:13:04 GMT", "version": "v1" } ]

2016-07-20

[ [ "Dey", "Anshuman", "" ], [ "Mahapatra", "Subhash", "" ], [ "Sarkar", "Tapobrata", "" ] ]

We consider charged black holes in four dimensional AdS space, in the presence of a Weyl correction. We obtain the solution including the effect of back-reaction, perturbatively up to first order in the Weyl coupling, and study its thermodynamic properties. This is complemented by a calculation of the holographic entanglement entropy of the boundary theory. The consistency of results obtained from both computations is established.

6.630014

5.167808

6.583324

5.709005

5.68295

5.618866

5.468737

5.262962

5.424388

6.928831

5.74735

5.851897

6.33992

5.899948

5.84213

6.073072

5.822829

5.840327

5.928861

6.303217

5.888487

hep-th/0103026

null

Richard Battye and Paul Sutcliffe

Skyrmions, Fullerenes and Rational Maps

58 pages, including 10 figures

Rev.Math.Phys. 14 (2002) 29-86

10.1142/S0129055X02001065

null

hep-th

null

We apply two very different approaches to calculate Skyrmions with baryon number B less than 23. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann spheres. We use a simulated annealing algorithm to search for the minimal energy rational map of a given degree B. The second involves the numerical solution of the full non-linear time dependent equations of motion, with initial conditions consisting of a number of well separated Skyrmion clusters. In general, we find a good agreement between the two approaches. For B greater than 6 almost all the solutions are of fullerene type, that is, the baryon density isosurface consists of twelve pentagons and 2B-14 hexagons arranged in a trivalent polyhedron. There are exceptional cases where this structure is modified, which we discuss in detail. We find that for a given value of B there are often many Skyrmions, with different symmetries, whose energies are very close to the minimal value, some of which we discuss. We present rational maps which are good approximations to these Skyrmions and accurately compute their energy by relaxation using the full non-linear dynamics.

[ { "created": "Mon, 5 Mar 2001 10:19:30 GMT", "version": "v1" } ]

2009-11-07

[ [ "Battye", "Richard", "" ], [ "Sutcliffe", "Paul", "" ] ]

We apply two very different approaches to calculate Skyrmions with baryon number B less than 23. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann spheres. We use a simulated annealing algorithm to search for the minimal energy rational map of a given degree B. The second involves the numerical solution of the full non-linear time dependent equations of motion, with initial conditions consisting of a number of well separated Skyrmion clusters. In general, we find a good agreement between the two approaches. For B greater than 6 almost all the solutions are of fullerene type, that is, the baryon density isosurface consists of twelve pentagons and 2B-14 hexagons arranged in a trivalent polyhedron. There are exceptional cases where this structure is modified, which we discuss in detail. We find that for a given value of B there are often many Skyrmions, with different symmetries, whose energies are very close to the minimal value, some of which we discuss. We present rational maps which are good approximations to these Skyrmions and accurately compute their energy by relaxation using the full non-linear dynamics.

7.188935

7.429927

8.194398

6.812486

7.707956

7.371305

7.918388

7.02166

6.896669

8.845678

7.076236

7.241385

7.651149

7.297932

7.351209

7.250234

7.11383

7.194771

7.352662

7.874943

7.128001

2205.06016

Robert Brandenberger

Suddhasattwa Brahma, Robert Brandenberger and Samuel Laliberte

Emergent Early Universe Cosmology from BFSS Matrix Theory

Essay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitation, honorary mention, 10 pages, 1 figure

null

10.1142/S0218271822420044

null

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

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

The BFSS matrix model is a suggested non-perturbative definition of string theory. Starting from a thermal state of this matrix model, we show how space and time can emerge dynamically. Results from the IKKT matrix model indicate that the $SO(9)$ symmetry of space is spontaneously broken to $SO(3) \times SO(6)$, with the three-dimensional subspace becoming large. Given this initial state for the universe, we show that cosmological perturbations and gravitational waves with scale-invariant spectra are generated, without the need of postulating an early phase of cosmological inflation. The Big Bang singularity is automatically resolved.

[ { "created": "Thu, 12 May 2022 10:56:38 GMT", "version": "v1" } ]

2022-12-07

[ [ "Brahma", "Suddhasattwa", "" ], [ "Brandenberger", "Robert", "" ], [ "Laliberte", "Samuel", "" ] ]

The BFSS matrix model is a suggested non-perturbative definition of string theory. Starting from a thermal state of this matrix model, we show how space and time can emerge dynamically. Results from the IKKT matrix model indicate that the $SO(9)$ symmetry of space is spontaneously broken to $SO(3) \times SO(6)$, with the three-dimensional subspace becoming large. Given this initial state for the universe, we show that cosmological perturbations and gravitational waves with scale-invariant spectra are generated, without the need of postulating an early phase of cosmological inflation. The Big Bang singularity is automatically resolved.

7.897605

7.342237

7.55815

7.10449

6.807083

7.307321

7.234123

6.700988

7.361909

8.213295

6.84584

7.422571

7.565463

7.343838

7.145257

7.062493

7.321136

7.479702

7.346685

7.647271

7.193482

1708.08512

Dionisio Bazeia

D. Bazeia, Elisama E.M. Lima, L. Losano

Kinklike structures in models of the Dirac-Born-Infeld type

16 pages, 8 figures; version to appear in Annals of Physics

Ann. Phys. 388 (2018) 408

10.1016/j.aop.2017.11.031

null

hep-th math-ph math.MP

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

The present work investigates several models of a single real scalar field, engendering kinetic term of the Dirac-Born-Infeld type. Such theories introduce nonlinearities to the kinetic part of the Lagrangian, which presents a square root restricting the field evolution and including additional powers in derivatives of the scalar field, controlled by a real parameter. In order to obtain topological solutions analytically, we propose a first-order framework that simplifies the equation of motion ensuring solutions that are linearly stable. This is implemented using the deformation method, and we introduce examples presenting two categories of potentials, one having polynomial interactions and the other with nonpolynomial interactions. We also explore how the Dirac-Born-Infeld kinetic term affects the properties of the solutions. In particular, we note that the kinklike solutions are similar to the ones obtained through models with standard kinetic term and canonical potential, but their energy densities and stability potentials vary according to the parameter introduced to control the new models.

[ { "created": "Mon, 28 Aug 2017 20:33:13 GMT", "version": "v1" }, { "created": "Mon, 11 Sep 2017 12:36:30 GMT", "version": "v2" }, { "created": "Fri, 1 Dec 2017 10:11:40 GMT", "version": "v3" } ]

2017-12-15

[ [ "Bazeia", "D.", "" ], [ "Lima", "Elisama E. M.", "" ], [ "Losano", "L.", "" ] ]

The present work investigates several models of a single real scalar field, engendering kinetic term of the Dirac-Born-Infeld type. Such theories introduce nonlinearities to the kinetic part of the Lagrangian, which presents a square root restricting the field evolution and including additional powers in derivatives of the scalar field, controlled by a real parameter. In order to obtain topological solutions analytically, we propose a first-order framework that simplifies the equation of motion ensuring solutions that are linearly stable. This is implemented using the deformation method, and we introduce examples presenting two categories of potentials, one having polynomial interactions and the other with nonpolynomial interactions. We also explore how the Dirac-Born-Infeld kinetic term affects the properties of the solutions. In particular, we note that the kinklike solutions are similar to the ones obtained through models with standard kinetic term and canonical potential, but their energy densities and stability potentials vary according to the parameter introduced to control the new models.

14.233175

11.287994

14.688822

12.399399

11.204405

10.818091

11.572033

12.752515

11.594063

15.1065

12.586499

12.809045

13.590649

13.368998

13.095148

13.443391

12.915739

13.189037

13.487853

14.076369

13.446433

2312.16283

Luca Scala

Falk Hassler, Yuho Sakatani and Luca Scala

Generalized Dualities for Heterotic and Type I Strings

39 pages, Minor fixes, More comments about the trombone gaugings

null

hep-th

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

We define generalized dualities for heterotic and type I strings based on consistent truncations to half-maximal gauged supergravities in more than three dimensions. The latter are constructed from a generalized Scherk-Schwarz ansatz in heterotic double field theory that satisfies the strong constraint. Necessary and sufficient conditions on the resulting embedding tensor are discussed, showing that only certain gaugings, called geometric, can arise from this procedure. For all of them, we explicitly construct the internal geometry and gauge potentials. In general, this construction is not unique and permits different uplifts which are used to define generalized T-duality. Two examples are worked out underlying the utility of our approach to explore new dualities and uplifts of half-maximal gauged supergravities.

[ { "created": "Tue, 26 Dec 2023 19:00:00 GMT", "version": "v1" }, { "created": "Thu, 22 Feb 2024 11:43:25 GMT", "version": "v2" }, { "created": "Wed, 24 Jul 2024 15:51:30 GMT", "version": "v3" } ]

2024-07-25

[ [ "Hassler", "Falk", "" ], [ "Sakatani", "Yuho", "" ], [ "Scala", "Luca", "" ] ]

We define generalized dualities for heterotic and type I strings based on consistent truncations to half-maximal gauged supergravities in more than three dimensions. The latter are constructed from a generalized Scherk-Schwarz ansatz in heterotic double field theory that satisfies the strong constraint. Necessary and sufficient conditions on the resulting embedding tensor are discussed, showing that only certain gaugings, called geometric, can arise from this procedure. For all of them, we explicitly construct the internal geometry and gauge potentials. In general, this construction is not unique and permits different uplifts which are used to define generalized T-duality. Two examples are worked out underlying the utility of our approach to explore new dualities and uplifts of half-maximal gauged supergravities.

10.822441

10.837389

12.549891

9.580235

10.361518

10.37644

10.514285

9.907907

10.132439

13.072595

9.900305

10.234393

11.064281

10.03189

10.282867

10.129279

10.045108

9.921283

9.759192

10.632805

9.530158

2305.13798

Hannes Malcha

The Nicolai Map and its Application in Supersymmetric Field Theories

PhD thesis, 174 pages, Humboldt University of Berlin, contains arXiv:2005.12324, arXiv:2006.02457, arXiv:2104.06017 and arXiv:2206.02919

null

10.18452/26406

null

hep-th

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

In this thesis, we study the Nicolai maps of the 2-dimensional Wess-Zumino model, $\mathcal{N}=1$ super Yang-Mills and $\mathcal{N}=4$ super Yang-Mills. We compute the Nicolai map of the 2-dimensional Wess-Zumino model up to the fifth order in the coupling. In $\mathcal{N}=1$ super Yang-Mills, we introduce the notion of on- and off-shell Nicolai maps. The on-shell Nicolai map of $\mathcal{N}=1$ super Yang-Mills exists in d=3, 4, 6 and 10 dimensions but is constrained to the Landau gauge. We compute this map up to the fourth order. The off-shell Nicolai map exists only in d=4 dimensions but for general gauges. We compute it in the axial gauge up to the second order. We show that the $\mathcal{N}=4$ super Yang-Mills Nicolai map can be obtained from the Nicolai map of 10-dimensional $\mathcal{N}=1$ super Yang-Mills by dimensional reduction. Inverse Nicolai maps allow for a fermion (and ghost) free quantization of supersymmetric (gauge) theories. We apply this property to compute the vacuum expectation value of the infinite straight line Maldacena-Wilson loop in $\mathcal{N}=4$ super Yang-Mills to the sixth order. In the second part of this thesis, we derive the explicit field content of the 1/2-BPS stress tensor multiplet in $\mathcal{N}=4$ super Yang-Mills, which contains the R-symmetry current and the energy-momentum tensor. The original version of this thesis, as submitted in May 2023 to the Humboldt University of Berlin, is available under the DOI https://doi.org/10.18452/26406.

[ { "created": "Tue, 23 May 2023 08:09:38 GMT", "version": "v1" } ]

2023-05-24

[ [ "Malcha", "Hannes", "" ] ]

In this thesis, we study the Nicolai maps of the 2-dimensional Wess-Zumino model, $\mathcal{N}=1$ super Yang-Mills and $\mathcal{N}=4$ super Yang-Mills. We compute the Nicolai map of the 2-dimensional Wess-Zumino model up to the fifth order in the coupling. In $\mathcal{N}=1$ super Yang-Mills, we introduce the notion of on- and off-shell Nicolai maps. The on-shell Nicolai map of $\mathcal{N}=1$ super Yang-Mills exists in d=3, 4, 6 and 10 dimensions but is constrained to the Landau gauge. We compute this map up to the fourth order. The off-shell Nicolai map exists only in d=4 dimensions but for general gauges. We compute it in the axial gauge up to the second order. We show that the $\mathcal{N}=4$ super Yang-Mills Nicolai map can be obtained from the Nicolai map of 10-dimensional $\mathcal{N}=1$ super Yang-Mills by dimensional reduction. Inverse Nicolai maps allow for a fermion (and ghost) free quantization of supersymmetric (gauge) theories. We apply this property to compute the vacuum expectation value of the infinite straight line Maldacena-Wilson loop in $\mathcal{N}=4$ super Yang-Mills to the sixth order. In the second part of this thesis, we derive the explicit field content of the 1/2-BPS stress tensor multiplet in $\mathcal{N}=4$ super Yang-Mills, which contains the R-symmetry current and the energy-momentum tensor. The original version of this thesis, as submitted in May 2023 to the Humboldt University of Berlin, is available under the DOI https://doi.org/10.18452/26406.

3.998474

3.773571

4.138721

3.56446

3.835049

3.829487

3.84605

3.685618

3.645254

4.283642

3.911228

3.870059

3.973173

3.831609

3.918633

3.87787

3.860961

3.839077

3.816842

4.003624

3.843286

hep-th/0501059

Bin Wang

Zhuo-Yi Huang, Bin Wang, Elcio Abdalla and Ru-Keng Su

Holographic explanation of wide-angle power correlation suppression in the Cosmic Microwave Background Radiation

12 pages, 5 figures, revised version, accepted for publication in JCAP

JCAP 0605 (2006) 013

10.1088/1475-7516/2006/05/013

null

hep-th astro-ph gr-qc

null

We investigate the question of the suppression of the CMB power spectrum for the lowest multipoles in closed Universes. The intrinsic reason for a lowest cutoff in closed Universes, connected with the discrete spectrum of the wavelength, is shown not to be enough to explain observations. We thus extend the holographic cosmic duality to closed universes by relating the dark energy equation of state and the power spectrum, showing a suppression behavior which describes the low l features extremely well. We also explore the possibility to disclose the nature of the dark energy from the observed small l CMB spectrum by employing the holographic idea.

[ { "created": "Mon, 10 Jan 2005 01:53:03 GMT", "version": "v1" }, { "created": "Fri, 21 Apr 2006 02:11:00 GMT", "version": "v2" } ]

2009-11-11

[ [ "Huang", "Zhuo-Yi", "" ], [ "Wang", "Bin", "" ], [ "Abdalla", "Elcio", "" ], [ "Su", "Ru-Keng", "" ] ]

We investigate the question of the suppression of the CMB power spectrum for the lowest multipoles in closed Universes. The intrinsic reason for a lowest cutoff in closed Universes, connected with the discrete spectrum of the wavelength, is shown not to be enough to explain observations. We thus extend the holographic cosmic duality to closed universes by relating the dark energy equation of state and the power spectrum, showing a suppression behavior which describes the low l features extremely well. We also explore the possibility to disclose the nature of the dark energy from the observed small l CMB spectrum by employing the holographic idea.

16.944801

16.521301

16.762363

15.548998

18.422804

18.481091

17.601242

15.963098

16.981848

17.291346

16.100321

15.257315

15.840089

16.18433

16.421579

16.128561

16.485252

15.388055

15.930931

16.673199

16.566547

0912.3504

D. S. Berman

David S. Berman, Malcolm J.Perry, Ergin Sezgin and Daniel C. Thompson

Boundary Conditions for Interacting Membranes

36 pages, latex, v2 minor typos corrected

JHEP 1004:025,2010

10.1007/JHEP04(2010)025

null

hep-th

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

We investigate supersymmetric boundary conditions in both the Bagger-Lambert and the ABJM theories of interacting membranes. We find boundary conditions associated to the fivebrane, the ninebrane and the M-theory wave. For the ABJM theory we are able to understand the enhancement of supersymmetry to produce the (4,4) supersymmetry of the self-dual string. We also include supersymmetric boundary conditions on the gauge fields that cancel the classical gauge anomaly of the Chern-Simons terms.

[ { "created": "Thu, 17 Dec 2009 20:02:35 GMT", "version": "v1" }, { "created": "Fri, 29 Jan 2010 17:19:50 GMT", "version": "v2" } ]

2010-05-12

[ [ "Berman", "David S.", "" ], [ "Perry", "Malcolm J.", "" ], [ "Sezgin", "Ergin", "" ], [ "Thompson", "Daniel C.", "" ] ]

We investigate supersymmetric boundary conditions in both the Bagger-Lambert and the ABJM theories of interacting membranes. We find boundary conditions associated to the fivebrane, the ninebrane and the M-theory wave. For the ABJM theory we are able to understand the enhancement of supersymmetry to produce the (4,4) supersymmetry of the self-dual string. We also include supersymmetric boundary conditions on the gauge fields that cancel the classical gauge anomaly of the Chern-Simons terms.

9.9072

9.19118

12.2461

8.565825

9.103647

9.573681

9.127119

9.011769

9.672106

12.005381

9.170522

9.076022

10.051248

9.023556

8.990221

9.037119

9.057648

9.036221

9.314479

9.771733

8.861364

1204.6088

Stephane Detournay

St\'ephane Detournay

Inner Mechanics of 3d Black Holes

5 pages

null

10.1103/PhysRevLett.109.031101

null

hep-th

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

We investigate properties of the inner horizons of certain black holes in higher-derivative three-dimensional gravity theories. We focus on BTZ and Spacelike Warped Anti-de Sitter black holes, as well as on asymptotically Warped de-Sitter solutions exhibiting both a cosmological and a black hole horizon. We verify that a First Law is satisfied at the Inner horizon, in agreement with the proposal of \cite{Castro:2012av}. We then show that, in Topologically Massive Gravity, the product of the areas of the inner and outer horizons fails to be independent on the mass, and trace this to the diffeomorphism anomaly of the theory.

[ { "created": "Fri, 27 Apr 2012 00:01:07 GMT", "version": "v1" } ]

2015-06-04

[ [ "Detournay", "Stéphane", "" ] ]

We investigate properties of the inner horizons of certain black holes in higher-derivative three-dimensional gravity theories. We focus on BTZ and Spacelike Warped Anti-de Sitter black holes, as well as on asymptotically Warped de-Sitter solutions exhibiting both a cosmological and a black hole horizon. We verify that a First Law is satisfied at the Inner horizon, in agreement with the proposal of \cite{Castro:2012av}. We then show that, in Topologically Massive Gravity, the product of the areas of the inner and outer horizons fails to be independent on the mass, and trace this to the diffeomorphism anomaly of the theory.

8.750754

8.641115

9.315883

7.364254

8.707659

8.813128

8.713366

7.940072

8.475977

10.277672

7.846856

8.019544

8.63197

8.276739

8.827957

8.353897

8.236648

8.236382

8.293104

8.831191

8.001972

1108.0877

Nikolaos Mavromatos

John Ellis and Nick E. Mavromatos

On the Role of Space-Time Foam in Breaking Supersymmetry via the Barbero-Immirzi Parameter

24 pages, 2 figures, references added, version published in Phys. Rev. D

Phys. Rev. D 84, 085016 (2011)

10.1103/PhysRevD.84.085016

KCL-PH-TH/2011-25; LCTS/2011-08; CERN-PH-TH/2011-191

hep-th gr-qc hep-ph

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

We discuss how: (i) a dilaton/axion superfield can play the role of a Barbero-Immirzi field in four-dimensional conformal quantum supergravity theories, (ii) a fermionic component of such a dilaton/axion superfield may play the role of a Goldstino in the low-energy effective action obtained from a superstring theory with F-type global supersymmetry breaking, (iii) this global supersymmetry breaking is communicated to the gravitational sector via the supergravity coupling of the Goldstino, and (iv) such a scenario may be realized explicitly in a D-foam model with D-particle defects fluctuating stochastically.

[ { "created": "Wed, 3 Aug 2011 15:56:29 GMT", "version": "v1" }, { "created": "Tue, 1 Nov 2011 18:34:52 GMT", "version": "v2" } ]

2011-11-02

[ [ "Ellis", "John", "" ], [ "Mavromatos", "Nick E.", "" ] ]

We discuss how: (i) a dilaton/axion superfield can play the role of a Barbero-Immirzi field in four-dimensional conformal quantum supergravity theories, (ii) a fermionic component of such a dilaton/axion superfield may play the role of a Goldstino in the low-energy effective action obtained from a superstring theory with F-type global supersymmetry breaking, (iii) this global supersymmetry breaking is communicated to the gravitational sector via the supergravity coupling of the Goldstino, and (iv) such a scenario may be realized explicitly in a D-foam model with D-particle defects fluctuating stochastically.

8.600332

9.105013

8.365834

7.977683

8.510568

8.125485

8.275528

8.336241

8.306097

9.261391

8.369423

7.930788

8.158961

8.092339

8.221757

8.202127

7.895376

8.346672

8.127258

8.305214

8.115652

hep-th/9308092

null

Zhong-Qi Ma and An-Ying Dai

A New Solution of the Yang-Baxter Equation Related to the Adjoint Representation of $U_{q}B_{2}$

16 pages (Latex), Preprint BIHEP-TH-93-30

J.Phys. A27 (1994) 1999-2010

10.1088/0305-4470/27/6/023

null

hep-th

null

A new solution of the Yang-Baxter equation, that is related to the adjoint representation of the quantum enveloping algebra $U_{q}B_{2}$, is obtained by fusion formulas from a non-standard solution.

[ { "created": "Thu, 19 Aug 1993 07:29:33 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ma", "Zhong-Qi", "" ], [ "Dai", "An-Ying", "" ] ]

A new solution of the Yang-Baxter equation, that is related to the adjoint representation of the quantum enveloping algebra $U_{q}B_{2}$, is obtained by fusion formulas from a non-standard solution.

11.425473

8.402571

14.171711

9.320244

9.351578

9.06469

9.61983

8.363343

9.913284

13.665082

9.201143

10.142824

12.576445

9.996067

9.626061

9.995564

9.358616

9.518234

9.857394

11.720881

9.826029

hep-th/0609081

She-Sheng Xue

Remo Ruffini and She-Sheng Xue

Effective Lagrangian of QED

7 pages

J.KoreanPhys.Soc.49:S715-S721,2006

null

hep-th

null

From the Euler-Heisenberg formula we calculate the exact real part of the one-loop effective Lagrangian of Quantum Electrodynamics in a constant electromagnetic field, and determine its strong-field limit.

[ { "created": "Tue, 12 Sep 2006 15:27:34 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ruffini", "Remo", "" ], [ "Xue", "She-Sheng", "" ] ]

From the Euler-Heisenberg formula we calculate the exact real part of the one-loop effective Lagrangian of Quantum Electrodynamics in a constant electromagnetic field, and determine its strong-field limit.

10.428387

7.674346

8.66885

8.025577

7.318201

6.951156

7.605224

7.994751

7.396047

8.9757

7.979233

7.992386

8.037909

7.497236

7.7523

7.816958

7.394609

8.131241

7.652198

7.661857

7.716826

1206.1536

Nakwoo Kim

The Backreacted K\"ahler Geometry of Wrapped Branes

v2: 13 pages, refs added

null

10.1103/PhysRevD.86.067901

null

hep-th

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

For supersymmetric solutions of D3(M2) branes with AdS3(AdS2) factor, it is known that the internal space is expressible as U(1) fibration over K\"ahler space which satisfies a specific partial differential equation involving the Ricci tensor. In this paper we study the wrapped brane solutions of D3 and M2-branes which were originally constructed using gauged supergravity and uplifted to D=10 and D=11. We rewrite the solutions in canonical form, identify the backreacted K\"ahler geometry, and present a class of solutions which satisfy the Killing spinor equation.

[ { "created": "Thu, 7 Jun 2012 15:59:04 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2012 01:31:01 GMT", "version": "v2" } ]

2013-05-30

[ [ "Kim", "Nakwoo", "" ] ]

For supersymmetric solutions of D3(M2) branes with AdS3(AdS2) factor, it is known that the internal space is expressible as U(1) fibration over K\"ahler space which satisfies a specific partial differential equation involving the Ricci tensor. In this paper we study the wrapped brane solutions of D3 and M2-branes which were originally constructed using gauged supergravity and uplifted to D=10 and D=11. We rewrite the solutions in canonical form, identify the backreacted K\"ahler geometry, and present a class of solutions which satisfy the Killing spinor equation.

8.790773

9.106984

10.924687

8.084855

8.074906

7.975153

8.285828

7.856107

8.106476

9.87304

7.981884

8.17983

9.467177

7.820321

8.107573

7.894156

8.058867

7.825296

7.892338

9.640708

7.843259

1102.5289

Dario Martelli

Dario Martelli, James Sparks

The large N limit of quiver matrix models and Sasaki-Einstein manifolds

38 pages, 4 figures; v2: minor changes, typos and factor of 2 in eq. (5.19) fixed, references and 2 figures added; v3: new section 4.5 added; v4: more typos fixed, range of validity of (4.19) clarified

Phys.Rev.D84:046008,2011

10.1103/PhysRevD.84.046008

null

hep-th

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

We study the matrix models that result from localization of the partition functions of N=2 Chern-Simons-matter theories on the three-sphere. A large class of such theories are conjectured to be holographically dual to M-theory on Sasaki-Einstein seven-manifolds. We study the M-theory limit (large N and fixed Chern-Simons levels) of these matrix models for various examples, and show that in this limit the free energy reproduces the expected AdS/CFT result of N^{3/2}/Vol(Y)^{1/2}, where Vol(Y) is the volume of the corresponding Sasaki-Einstein metric. More generally we conjecture a relation between the large N limit of the partition function, interpreted as a function of trial R-charges, and the volumes of Sasakian metrics on links of Calabi-Yau four-fold singularities. We verify this conjecture for a family of U(N)^2 Chern-Simons quivers based on M2 branes at hypersurface singularities, and for a U(N)^3 theory based on M2 branes at a toric singularity.

[ { "created": "Fri, 25 Feb 2011 17:19:03 GMT", "version": "v1" }, { "created": "Mon, 28 Feb 2011 15:49:58 GMT", "version": "v2" }, { "created": "Wed, 9 Mar 2011 12:20:27 GMT", "version": "v3" }, { "created": "Mon, 25 Jul 2011 17:23:09 GMT", "version": "v4" } ]

2011-09-14

[ [ "Martelli", "Dario", "" ], [ "Sparks", "James", "" ] ]

We study the matrix models that result from localization of the partition functions of N=2 Chern-Simons-matter theories on the three-sphere. A large class of such theories are conjectured to be holographically dual to M-theory on Sasaki-Einstein seven-manifolds. We study the M-theory limit (large N and fixed Chern-Simons levels) of these matrix models for various examples, and show that in this limit the free energy reproduces the expected AdS/CFT result of N^{3/2}/Vol(Y)^{1/2}, where Vol(Y) is the volume of the corresponding Sasaki-Einstein metric. More generally we conjecture a relation between the large N limit of the partition function, interpreted as a function of trial R-charges, and the volumes of Sasakian metrics on links of Calabi-Yau four-fold singularities. We verify this conjecture for a family of U(N)^2 Chern-Simons quivers based on M2 branes at hypersurface singularities, and for a U(N)^3 theory based on M2 branes at a toric singularity.

4.828815

4.611074

5.198123

4.381289

4.703636

4.436887

4.737512

4.380626

4.350451

6.209779

4.579742

4.441204

4.80866

4.469611

4.50031

4.439492

4.398397

4.49132

4.489169

5.021316

4.425767

2104.11240

Carlos Nunez

Andrea Legramandi and Carlos Nunez

Electrostatic Description of Five-dimensional SCFTs

25 pages plus various and generous appendices

null

10.1016/j.nuclphysb.2021.115630

null

hep-th

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

In this paper we discuss an infinite class of AdS$_6$ backgrounds in Type IIB supergravity dual to five dimensional SCFTs whose low energy description is in terms of linear quiver theories. The quantisation of the Page charges imposes that each solution is determined once a convex, piece-wise linear function is specified. In the dual field theory, we interpret this function as encoding the ranks of colour and flavour groups in the associated quiver. We check our proposal with several examples and provide general expressions for the holographic central charge and the Wilson loop VEV. Some solutions outside this general class, with less clear quiver interpretation, are also discussed.

[ { "created": "Thu, 22 Apr 2021 18:00:00 GMT", "version": "v1" } ]

2022-01-26

[ [ "Legramandi", "Andrea", "" ], [ "Nunez", "Carlos", "" ] ]

In this paper we discuss an infinite class of AdS$_6$ backgrounds in Type IIB supergravity dual to five dimensional SCFTs whose low energy description is in terms of linear quiver theories. The quantisation of the Page charges imposes that each solution is determined once a convex, piece-wise linear function is specified. In the dual field theory, we interpret this function as encoding the ranks of colour and flavour groups in the associated quiver. We check our proposal with several examples and provide general expressions for the holographic central charge and the Wilson loop VEV. Some solutions outside this general class, with less clear quiver interpretation, are also discussed.

11.13745

9.135076

12.331421

10.057929

9.473559

10.005471

9.835568

10.228739

9.650488

13.096762

9.885896

10.393643

11.411649

9.863868

9.955577

10.311117

10.103334

9.587111

10.060076

11.186197

10.091817

hep-th/0205261

Alexander Alexandrov

A. Alexandrov

Givental formula in terms of Virasoro operators

LaTeX, 11 pages, Some typos corrected

J.Math.Phys.44:5268-5278,2003

10.1063/1.1615695

null

hep-th

null

We present a conjecture that the universal enveloping algebra of differential operators $\frac{\p}{\p t_k}$ over $\mathbb{C}$ coincides in the origin with the universal enveloping algebra of the (Borel subalgebra of) Virasoro generators from the Kontsevich model. Thus, we can decompose any (pseudo)differential operator to a combination of the Virasoro operators. Using this decomposition we present the r.h.s. of the Givental formula math.AG/0008067 as a constant part of the differential operator we introduce. In the case of $\mathbb{CP}^1$ studied in hep-th/0103254, the l.h.s. of the Givental formula is a unit, which imposes certain constraints on this differential operator. We explicitly check that these constraints are correct up to $O(q^4)$. We also propose a conjecture of factorization modulo Hirota equation of the differential operator introduced and check this conjecture with the same accuracy.

[ { "created": "Sun, 26 May 2002 11:43:51 GMT", "version": "v1" }, { "created": "Tue, 3 Dec 2002 10:52:20 GMT", "version": "v2" } ]

2008-11-26

[ [ "Alexandrov", "A.", "" ] ]

We present a conjecture that the universal enveloping algebra of differential operators $\frac{\p}{\p t_k}$ over $\mathbb{C}$ coincides in the origin with the universal enveloping algebra of the (Borel subalgebra of) Virasoro generators from the Kontsevich model. Thus, we can decompose any (pseudo)differential operator to a combination of the Virasoro operators. Using this decomposition we present the r.h.s. of the Givental formula math.AG/0008067 as a constant part of the differential operator we introduce. In the case of $\mathbb{CP}^1$ studied in hep-th/0103254, the l.h.s. of the Givental formula is a unit, which imposes certain constraints on this differential operator. We explicitly check that these constraints are correct up to $O(q^4)$. We also propose a conjecture of factorization modulo Hirota equation of the differential operator introduced and check this conjecture with the same accuracy.

10.021783

11.663683

11.071259

10.153749

10.730474

9.927603

10.287086

10.527565

10.047273

11.950768

9.833519

9.30968

9.586275

9.555181

9.292167

9.743037

9.491437

9.393703

9.42441

10.101254

9.226996

1909.11061

Marco Schreck MS

J.A.A.S. Reis and M. Schreck

Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos

17 pages

Symmetry 11, no. 10, 1197 (2019)

10.3390/sym11101197

null

hep-th hep-ph

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

The current paper is a technical work that is focused on Lorentz violation for Dirac fermions as well as neutrinos, described within the nonminimal Standard-Model Extension. We intend to derive two theoretical results. The first is the full propagator of the single-fermion Dirac theory modified by Lorentz violation. The second is the dispersion equation for a theory of $N$ neutrino flavors that enables the description of both Dirac and Majorana neutrinos. As the matrix structure of the neutrino field operator is very involved for generic $N$, we will use sophisticated methods of linear algebra to achieve our objectives. Our main finding is that the neutrino dispersion equation has the same structure in terms of Lorentz-violating operators as that of a modified single-fermion Dirac theory. The results will be valuable for phenomenological studies of Lorentz-violating Dirac fermions and neutrinos.

[ { "created": "Tue, 24 Sep 2019 17:20:32 GMT", "version": "v1" } ]

2019-09-25

[ [ "Reis", "J. A. A. S.", "" ], [ "Schreck", "M.", "" ] ]

The current paper is a technical work that is focused on Lorentz violation for Dirac fermions as well as neutrinos, described within the nonminimal Standard-Model Extension. We intend to derive two theoretical results. The first is the full propagator of the single-fermion Dirac theory modified by Lorentz violation. The second is the dispersion equation for a theory of $N$ neutrino flavors that enables the description of both Dirac and Majorana neutrinos. As the matrix structure of the neutrino field operator is very involved for generic $N$, we will use sophisticated methods of linear algebra to achieve our objectives. Our main finding is that the neutrino dispersion equation has the same structure in terms of Lorentz-violating operators as that of a modified single-fermion Dirac theory. The results will be valuable for phenomenological studies of Lorentz-violating Dirac fermions and neutrinos.

8.242621

8.386655

7.753934

7.507473

7.878875

7.667707

8.152879

8.133196

7.272519

7.975645

8.135795

7.917132

7.890924

7.796688

7.653428

7.56288

7.752701

7.95481

7.595118

7.818141

8.080294

1805.01875

Jens Boos

Jens Boos, Valeri P. Frolov, Andrei Zelnikov

Quantum scattering on a delta potential in ghost-free theory

v2: 7 pages, 2 figures, matches published version; v1: 6 pages, 2 figures

Phys. Lett. B 782 (2018) 688

10.1016/j.physletb.2018.06.018

Alberta-Thy-05-18

hep-th gr-qc quant-ph

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

We discuss the quantum-mechanical scattering of a massless scalar field on a $\delta$-potential in a ghost-free theory and obtain analytic solutions for the scattering coefficients. Due to the non-locality of the ghost-free theory the transmission coefficient tends to unity for frequencies much larger than the inverse scale of non-locality, even for infinitely strong potentials. At the same time there exists a critical strength of the $\delta$-potential barrier below which there is always a frequency that is totally reflected. These scattering properties in ghost-free theories are quite generic and distinguish them from local field theories. Moreover, we study quasi-normal states that are present for the $\delta$-potential well. In the limit of vanishing non-locality, we recover the standard results of local field theory.

[ { "created": "Fri, 4 May 2018 17:43:28 GMT", "version": "v1" }, { "created": "Sat, 23 Jun 2018 00:46:04 GMT", "version": "v2" } ]

2018-06-26

[ [ "Boos", "Jens", "" ], [ "Frolov", "Valeri P.", "" ], [ "Zelnikov", "Andrei", "" ] ]

We discuss the quantum-mechanical scattering of a massless scalar field on a $\delta$-potential in a ghost-free theory and obtain analytic solutions for the scattering coefficients. Due to the non-locality of the ghost-free theory the transmission coefficient tends to unity for frequencies much larger than the inverse scale of non-locality, even for infinitely strong potentials. At the same time there exists a critical strength of the $\delta$-potential barrier below which there is always a frequency that is totally reflected. These scattering properties in ghost-free theories are quite generic and distinguish them from local field theories. Moreover, we study quasi-normal states that are present for the $\delta$-potential well. In the limit of vanishing non-locality, we recover the standard results of local field theory.

8.064306

8.018914

8.148978

7.166512

7.459987

6.997276

7.34498

7.133965

7.423392

8.43073

7.362423

7.370696

7.622859

7.274453

7.359557

7.473128

7.267771

7.504182

7.434178

7.829936

7.228198

hep-th/0207224

Dmitri Antonov

Dmitri Antonov (INFN, Pisa and Pisa University)

Finite-temperature behavior of the (2+1)D Georgi-Glashow model with and without quarks

Talk given at the Workshop "Continuous Advances in QCD 2002/ARKADYFEST (honoring the 60th birthday of Prof. Arkady Vainshtein)" (Minneapolis, Minnesota, 17-23 May 2002) and at the Congress in theoretical physics "Cortona 2002" (Cortona, Italy, 29 May - 1 June 2002); 14 pages, LaTeX2e, uses ws-procs9x6.cls, no figures

null

10.1142/9789812776310_0022

IFUP-TH 2002/28

hep-th cond-mat hep-lat hep-ph

null

(2+1)-dimensional Georgi-Glashow model and its SU(N)-generalization are explored at nonzero temperatures and in the regime when the Higgs boson is not infinitely heavy. The finiteness of the Higgs-boson mass leads to various novel effects. Those include the appearance of two separate phase transitions and of the upper bound on the parameter of the weak-coupling approximation, necessary to maintain the stochasticity of the Higgs vacuum. The modification of the finite-temperature behavior of the model emerging due to the introduction of massless quarks is also discussed.

[ { "created": "Wed, 24 Jul 2002 16:54:04 GMT", "version": "v1" } ]

2017-08-23

[ [ "Antonov", "Dmitri", "", "INFN, Pisa and Pisa University" ] ]

(2+1)-dimensional Georgi-Glashow model and its SU(N)-generalization are explored at nonzero temperatures and in the regime when the Higgs boson is not infinitely heavy. The finiteness of the Higgs-boson mass leads to various novel effects. Those include the appearance of two separate phase transitions and of the upper bound on the parameter of the weak-coupling approximation, necessary to maintain the stochasticity of the Higgs vacuum. The modification of the finite-temperature behavior of the model emerging due to the introduction of massless quarks is also discussed.

10.446555

8.735364

9.986356

9.456131

8.666023

9.623063

9.609212

9.347464

8.65486

11.195043

9.079526

9.167566

9.651766

9.179419

8.967309

9.625458

9.429711

9.628306

9.02925

9.34011

9.179249

1203.1046

Miguel Vazquez-Mozo

Alvaro Duenas-Vidal, Miguel A. Vazquez-Mozo

A Note on the Collision of Reissner-Nordstr\"om Gravitational Shock Waves in AdS

13 pages, 6 figures. LaTeX. v2: major changes

Phys. Lett. B713 (2012) 500

10.1016/j.physletb.2012.06.019

null

hep-th gr-qc

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

We study the collision of two Reissner-Nordstr\"om gravitational shock waves in AdS and show that the charge completely prevents the formation of marginally trapped surfaces of the Penrose type with topology S^(D-2), independently of the energy and the value of the impact parameter. In the case of head-on collisions, a numerical analysis shows that no trapped surfaces with topology S^1 \times S^(D-3) form either.

[ { "created": "Mon, 5 Mar 2012 21:02:08 GMT", "version": "v1" }, { "created": "Thu, 24 May 2012 18:00:30 GMT", "version": "v2" } ]

2015-03-20

[ [ "Duenas-Vidal", "Alvaro", "" ], [ "Vazquez-Mozo", "Miguel A.", "" ] ]

We study the collision of two Reissner-Nordstr\"om gravitational shock waves in AdS and show that the charge completely prevents the formation of marginally trapped surfaces of the Penrose type with topology S^(D-2), independently of the energy and the value of the impact parameter. In the case of head-on collisions, a numerical analysis shows that no trapped surfaces with topology S^1 \times S^(D-3) form either.

9.61961

8.447594

8.087209

8.035296

8.367952

7.545548

8.136992

7.800889

7.87226

9.04318

8.704001

8.810539

8.25884

8.534325

8.661054

8.425741

8.840338

8.617718

8.363981

8.715092

8.313024

hep-th/0109200

Arvind Rajaraman

New $AdS_3$ Branes and Boundary States

18 pages, latex

Int.J.Mod.Phys.A21:4835-4852,2006

10.1142/S0217751X06034021

null

hep-th

null

We examine D-branes on $AdS_3$, and find a three-brane wrapping the entire $AdS_3$, in addition to 1-branes and instantonic 2-branes previously discussed in the literature. The three-brane is found using a construction of Maldacena, Moore, and Seiberg. We show that all these branes satisfy Cardy's condition and extract the open string spectrum on them.

[ { "created": "Tue, 25 Sep 2001 21:06:55 GMT", "version": "v1" } ]

2014-11-18

[ [ "Rajaraman", "Arvind", "" ] ]

We examine D-branes on $AdS_3$, and find a three-brane wrapping the entire $AdS_3$, in addition to 1-branes and instantonic 2-branes previously discussed in the literature. The three-brane is found using a construction of Maldacena, Moore, and Seiberg. We show that all these branes satisfy Cardy's condition and extract the open string spectrum on them.

8.173669

6.605208

8.180834

6.512491

6.919713

6.563098

6.327365

6.138107

6.72354

8.782425

6.569706

7.167387

7.99992

7.392776

7.269466

6.984829

7.004628

6.894626

7.114911

7.809432

7.025963

1812.11185

Jacob Bourjaily

Jacob L. Bourjaily, Enrico Herrmann, and Jaroslav Trnka

Amplitudes at Infinity

4+1+1 pages; 15 figures; details provided in ancillary Mathematica files

Phys. Rev. D 99, 066006 (2019)

10.1103/PhysRevD.99.066006

null

hep-th

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

We investigate the asymptotically large loop-momentum behavior of multi-loop amplitudes in maximally supersymmetric quantum field theories in four dimensions. We check residue-theorem identities among color-dressed leading singularities in $\mathcal{N}=4$ supersymmetric Yang-Mills theory to demonstrate the absence of poles at infinity of all MHV amplitudes through three loops. Considering the same test for $\mathcal{N}=8$ supergravity leads us to discover that this theory does support non-vanishing residues at infinity starting at two loops, and the degree of these poles grow arbitrarily with multiplicity. This causes a tension between simultaneously manifesting ultraviolet finiteness---which would be automatic in a representation obtained by color-kinematic duality---and gauge invariance---which would follow from unitarity-based methods.

[ { "created": "Fri, 28 Dec 2018 19:00:00 GMT", "version": "v1" } ]

2019-03-27

[ [ "Bourjaily", "Jacob L.", "" ], [ "Herrmann", "Enrico", "" ], [ "Trnka", "Jaroslav", "" ] ]

We investigate the asymptotically large loop-momentum behavior of multi-loop amplitudes in maximally supersymmetric quantum field theories in four dimensions. We check residue-theorem identities among color-dressed leading singularities in $\mathcal{N}=4$ supersymmetric Yang-Mills theory to demonstrate the absence of poles at infinity of all MHV amplitudes through three loops. Considering the same test for $\mathcal{N}=8$ supergravity leads us to discover that this theory does support non-vanishing residues at infinity starting at two loops, and the degree of these poles grow arbitrarily with multiplicity. This causes a tension between simultaneously manifesting ultraviolet finiteness---which would be automatic in a representation obtained by color-kinematic duality---and gauge invariance---which would follow from unitarity-based methods.

9.724981

10.313466

11.721096

9.644464

10.417952

11.017562

10.991706

10.498104

10.012219

12.828015

9.499098

9.887893

10.11165

9.813875

9.689638

9.903339

10.126904

10.145611

9.732986

10.090754

9.485608

hep-th/0110068

Schucker

T. Schucker

Forces from noncommutative geometry

15 p. LaTeX, talk at the annuel meeting of the French Physical Society, Strasbourg, july 01

null

CPT-01/P.4245

hep-th

null

Einstein derived general relativity from Riemannian geometry. Connes extends this derivation to noncommutative geometry and obtains electro-magnetic, weak and strong forces. These are pseudo forces, that accompany the gravitational force just as in Minkowskian geometry the magnetic force accompanies the electric force. The main physical input of Connes' derivation is parity violation. His main output is the Higgs boson which breaks the gauge symmetry spontaneously and gives masses to gauge and Higgs bosons.

[ { "created": "Mon, 8 Oct 2001 12:17:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Schucker", "T.", "" ] ]

Einstein derived general relativity from Riemannian geometry. Connes extends this derivation to noncommutative geometry and obtains electro-magnetic, weak and strong forces. These are pseudo forces, that accompany the gravitational force just as in Minkowskian geometry the magnetic force accompanies the electric force. The main physical input of Connes' derivation is parity violation. His main output is the Higgs boson which breaks the gauge symmetry spontaneously and gives masses to gauge and Higgs bosons.

11.137185

10.296935

11.002817

10.984868

11.095675

11.408793

9.635354

11.138844

10.584655

11.599186

11.107877

10.448301

11.173138

10.238259

10.289518

10.623096

10.33744

10.567229

10.577457

10.874797

10.299162

1501.01408

Carlo A. Trugenberger

Quantum Gravity as an Information Network: Self-Organization of a 4D Universe

Revised version, to appear in Physical Review D

Phys. Rev. D 92, 084014 (2015)

10.1103/PhysRevD.92.084014

null

hep-th gr-qc

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

I propose a quantum gravity model in which the fundamental degrees of freedom are information bits for both discrete space-time points and links connecting them. The Hamiltonian is a very simple network model consisting of a ferromagnetic Ising model for space-time vertices and an antiferromagnetic Ising model for the links. As a result of the frustration between these two terms, the ground state self-organizes as a new type of low-clustering graph with finite Hausdorff dimension 4. The spectral dimension is lower than the Hausdorff dimension: it coincides with the Hausdorff dimension 4 at a first quantum phase transition corresponding to an IR fixed point while at a second quantum phase transition describing small scales space-time dissolves into disordered information bits. The large-scale dimension 4 of the universe is related to the upper critical dimension 4 of the Ising model. At finite temperatures the universe graph emerges without big bang and without singularities from a ferromagnetic phase transition in which space-time itself forms out of a hot soup of information bits. When the temperature is lowered the universe graph unfolds and expands by lowering its connectivity, a mechanism I have called topological expansion. The model admits topological black hole excitations corresponding to graphs containing holes with no space-time inside and with "Schwarzschild-like" horizons with a lower spectral dimension.

[ { "created": "Wed, 7 Jan 2015 09:25:34 GMT", "version": "v1" }, { "created": "Tue, 22 Sep 2015 20:42:21 GMT", "version": "v2" } ]

2015-10-14

[ [ "Trugenberger", "Carlo A.", "" ] ]

I propose a quantum gravity model in which the fundamental degrees of freedom are information bits for both discrete space-time points and links connecting them. The Hamiltonian is a very simple network model consisting of a ferromagnetic Ising model for space-time vertices and an antiferromagnetic Ising model for the links. As a result of the frustration between these two terms, the ground state self-organizes as a new type of low-clustering graph with finite Hausdorff dimension 4. The spectral dimension is lower than the Hausdorff dimension: it coincides with the Hausdorff dimension 4 at a first quantum phase transition corresponding to an IR fixed point while at a second quantum phase transition describing small scales space-time dissolves into disordered information bits. The large-scale dimension 4 of the universe is related to the upper critical dimension 4 of the Ising model. At finite temperatures the universe graph emerges without big bang and without singularities from a ferromagnetic phase transition in which space-time itself forms out of a hot soup of information bits. When the temperature is lowered the universe graph unfolds and expands by lowering its connectivity, a mechanism I have called topological expansion. The model admits topological black hole excitations corresponding to graphs containing holes with no space-time inside and with "Schwarzschild-like" horizons with a lower spectral dimension.

9.861806

10.603593

11.126616

10.02139

11.358469

11.112121

11.770355

10.425284

10.488244

9.960406

10.377932

9.992884

9.873158

9.750201

9.756324

9.860377

10.062805

9.723133

9.803826

10.196518

9.89669

1602.03721

Shuang-Yong Zhou

Claudia de Rham, Andrew J. Tolley and Shuang-Yong Zhou

The $\Lambda_2$ limit of massive gravity

38 pages, 1 figure, JHEP version, minor changes

JHEP 1604 (2016) 188

10.1007/JHEP04(2016)188

null

hep-th astro-ph.CO gr-qc

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

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher values and evade the linear vDVZ-discontinuity. For generic parameters of the theory and generic vacua for the Stueckelberg fields, the $\Lambda_2$-decoupling limit of the theory is well-behaved and free of any ghost or gradient-like instabilities. We also discuss the implications for nonlinear sigma models with Lorentzian target spaces.

[ { "created": "Thu, 11 Feb 2016 13:25:10 GMT", "version": "v1" }, { "created": "Mon, 9 May 2016 20:53:30 GMT", "version": "v2" } ]

2016-05-11

[ [ "de Rham", "Claudia", "" ], [ "Tolley", "Andrew J.", "" ], [ "Zhou", "Shuang-Yong", "" ] ]

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher values and evade the linear vDVZ-discontinuity. For generic parameters of the theory and generic vacua for the Stueckelberg fields, the $\Lambda_2$-decoupling limit of the theory is well-behaved and free of any ghost or gradient-like instabilities. We also discuss the implications for nonlinear sigma models with Lorentzian target spaces.

9.13343

9.010813

9.919207

9.004773

9.128042

9.769318

9.150519

9.278114

9.457858

10.714989

9.034222

8.730617

9.110811

8.526002

8.289585

8.97805

8.478834

8.907461

8.608875

9.635434

8.719032

2012.05737

Lin Yi-Yu

Yi-Yu Lin, Jia-Rui Sun, Yuan Sun

Bit thread, entanglement distillation, and entanglement of purification

28 pages,10 figures

Phys. Rev. D 103, 126002 (2021)

10.1103/PhysRevD.103.126002

null

hep-th

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

We investigate the relations between bit thread, entanglement distillation and entanglement of purification in the holographic framework. Specifically, we give a bit thread interpretation for the one-shot entanglement distillation (OSED) tensor network, which can be understood as reconstructing the geometric structure of the bulk spacetime from the entanglement information of the boundary quantum system through the "surface growth scheme". Moreover, by showing that the holographic entanglement of purification (EoP) process can be regarded as a special case of our "surface growth scheme", we naturally obtain the bit thread interpretation of the holographic EoP in our framework, which turns out to be different from the existing interpretations. Since our interpretation for holographic EoP is obtained in a more general and physical framework, the advantage of our version is that it is more natural, and possibly more reasonable to reflect the real physical entanglement structures.

[ { "created": "Thu, 10 Dec 2020 15:14:35 GMT", "version": "v1" }, { "created": "Fri, 18 Dec 2020 09:43:54 GMT", "version": "v2" }, { "created": "Wed, 1 Sep 2021 16:41:47 GMT", "version": "v3" } ]

2021-09-02

[ [ "Lin", "Yi-Yu", "" ], [ "Sun", "Jia-Rui", "" ], [ "Sun", "Yuan", "" ] ]

We investigate the relations between bit thread, entanglement distillation and entanglement of purification in the holographic framework. Specifically, we give a bit thread interpretation for the one-shot entanglement distillation (OSED) tensor network, which can be understood as reconstructing the geometric structure of the bulk spacetime from the entanglement information of the boundary quantum system through the "surface growth scheme". Moreover, by showing that the holographic entanglement of purification (EoP) process can be regarded as a special case of our "surface growth scheme", we naturally obtain the bit thread interpretation of the holographic EoP in our framework, which turns out to be different from the existing interpretations. Since our interpretation for holographic EoP is obtained in a more general and physical framework, the advantage of our version is that it is more natural, and possibly more reasonable to reflect the real physical entanglement structures.

8.001731

7.472303

7.945556

7.190308

7.370608

7.735172

7.35704

7.51049

7.191486

8.00526

6.986887

7.690063

7.544505

7.40241

7.341767

7.385921

7.451915

7.37886

7.615294

7.499784

7.316809

1506.00562

Knut Bakke

K. Bakke and H. Belich

On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects

To be published in Annals of Physics (NY). arXiv admin note: substantial text overlap with arXiv:1504.07262, arXiv:1412.5080

Ann. Phys. (NY) 360, 596 (2015)

10.1016/j.aop.2015.05.025

null

hep-th quant-ph

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

The behaviour of a relativistic scalar particle in a possible scenario that arises from the violation of the Lorentz symmetry is investigated. The background of the Lorentz symmetry violation is defined by a tensor field that governs the Lorentz symmetry violation out of the Standard Model Extension. Thereby, we show that a Coulomb-type potential can be induced by Lorentz symmetry breaking effects and bound states solutions to the Klein-Gordon equation can be obtained. Further, we discuss the effects of this Coulomb-type potential on the confinement of the relativistic scalar particle to a linear confining potential by showing that bound states solutions to the Klein-Gordon equation can also be achieved, and obtain a quantum effect characterized by the dependence of a parameter of the linear confining potential on the quantum numbers $\left\{n,l\right\}$ of the system.

[ { "created": "Mon, 1 Jun 2015 16:39:38 GMT", "version": "v1" } ]

2015-07-02

[ [ "Bakke", "K.", "" ], [ "Belich", "H.", "" ] ]

The behaviour of a relativistic scalar particle in a possible scenario that arises from the violation of the Lorentz symmetry is investigated. The background of the Lorentz symmetry violation is defined by a tensor field that governs the Lorentz symmetry violation out of the Standard Model Extension. Thereby, we show that a Coulomb-type potential can be induced by Lorentz symmetry breaking effects and bound states solutions to the Klein-Gordon equation can be obtained. Further, we discuss the effects of this Coulomb-type potential on the confinement of the relativistic scalar particle to a linear confining potential by showing that bound states solutions to the Klein-Gordon equation can also be achieved, and obtain a quantum effect characterized by the dependence of a parameter of the linear confining potential on the quantum numbers $\left\{n,l\right\}$ of the system.

7.467589

6.74069

7.37816

6.876542

6.794122

6.839921

6.425192

6.596725

6.988637

7.353609

6.69632

7.076411

7.498322

7.080564

7.206627

7.026474

7.073637

7.364783

7.103467

7.286712

7.044597

0911.0199

John Dixon

John A. Dixon

Some Properties of Chiral Dotted Spinor Superfields

20 pages

null

hep-th

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

Chiral superfields with multiple dotted Lorentz spinor indices (`dotspinors') are important in the analysis of supersymmetry breaking through the mechanisms of Cybersusy. This paper describes the actions for massive dotspinors coupled to supersymmetric gauge theory and to chiral matter. It analyzes the free equations of motion and mass spectra for the case of unbroken supersymmetry. The general form of the Cybersusy algebra for dotsupers with multiple indices is also discussed briefly.

[ { "created": "Sun, 1 Nov 2009 20:18:59 GMT", "version": "v1" } ]

2009-11-03

[ [ "Dixon", "John A.", "" ] ]

Chiral superfields with multiple dotted Lorentz spinor indices (`dotspinors') are important in the analysis of supersymmetry breaking through the mechanisms of Cybersusy. This paper describes the actions for massive dotspinors coupled to supersymmetric gauge theory and to chiral matter. It analyzes the free equations of motion and mass spectra for the case of unbroken supersymmetry. The general form of the Cybersusy algebra for dotsupers with multiple indices is also discussed briefly.

15.999722

15.702706

17.13187

13.719995

11.971704

15.547647

14.297503

14.161435

14.163424

19.83597

13.005424

13.733722

15.077857

14.370673

13.610389

13.79771

13.853123

14.97964

13.614598

15.101246

14.363726

1803.05821

Sebasti\'an Alberto Franchino Vi\~nas

S. A. Franchino-Vi\~nas, P. Pisani

Thermodynamics in the NC disc

24 pages, 2 figures

null

hep-th math-ph math.MP

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

We study the thermodynamics of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. We explicitly obtain expressions for thermodynamic potentials of gases of particles obeying different statistics. In order to do that, we derive an asymptotic expansion for the density of the zeros of Laguerre polynomials. As a result we prove that the Bose-Einstein condensation in the noncommutative disc does not take place.

[ { "created": "Thu, 15 Mar 2018 15:52:30 GMT", "version": "v1" } ]

2018-03-16

[ [ "Franchino-Viñas", "S. A.", "" ], [ "Pisani", "P.", "" ] ]

We study the thermodynamics of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. We explicitly obtain expressions for thermodynamic potentials of gases of particles obeying different statistics. In order to do that, we derive an asymptotic expansion for the density of the zeros of Laguerre polynomials. As a result we prove that the Bose-Einstein condensation in the noncommutative disc does not take place.

9.616924

9.439979

11.066738

9.14122

9.245959

9.701502

9.606607

9.087

9.191793

10.256552

9.225246

8.946087

9.590633

9.132778

9.346808

9.193718

9.105985

8.942783

9.213844

9.831728

9.046076

2009.11471

Chi Zhang

Song He, Zhenjie Li, Chi Zhang

The symbol and alphabet of two-loop NMHV amplitudes from $\bar{Q}$ equations

33 pages, 1 figure, revised version, typo corrected, accepted in JHEP

null

10.1007/JHEP03(2021)278

null

hep-th

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

We study the symbol and the alphabet for two-loop NMHV amplitudes in planar ${\cal N}=4$ super-Yang-Mills from the $\bar{Q}$ equations, which provide a first-principle method for computing multi-loop amplitudes. Starting from one-loop N${}^2$MHV ratio functions, we explain in detail how to use $\bar{Q}$ equations to obtain the total differential of two-loop $n$-point NMHV amplitudes, whose symbol contains letters that are algebraic functions of kinematics for $n\geq 8$. We present explicit formula with nice patterns for the part of the symbol involving algebraic letters for all multiplicities, and we find $17-2m$ multiplicative-independent letters for a given square root of Gram determinant, with $0\leq m\leq 4$ depending on the number of particles involved in the square root. We also observe that these algebraic letters can be found as poles of one-loop four-mass leading singularities with MHV or NMHV trees. As a byproduct of our algebraic results, we find a large class of components of two-loop NMHV, which can be written as differences of two double-pentagon integrals, particularly simple and absent of square roots. As an example, we present the complete symbol for $n=9$ whose alphabet contains $59\times 9$ rational letters, in addition to the $11 \times 9$ independent algebraic ones. We also give all-loop NMHV last-entry conditions for all multiplicities.

[ { "created": "Thu, 24 Sep 2020 03:38:16 GMT", "version": "v1" }, { "created": "Wed, 24 Feb 2021 11:02:20 GMT", "version": "v2" } ]

2021-04-14

[ [ "He", "Song", "" ], [ "Li", "Zhenjie", "" ], [ "Zhang", "Chi", "" ] ]

We study the symbol and the alphabet for two-loop NMHV amplitudes in planar ${\cal N}=4$ super-Yang-Mills from the $\bar{Q}$ equations, which provide a first-principle method for computing multi-loop amplitudes. Starting from one-loop N${}^2$MHV ratio functions, we explain in detail how to use $\bar{Q}$ equations to obtain the total differential of two-loop $n$-point NMHV amplitudes, whose symbol contains letters that are algebraic functions of kinematics for $n\geq 8$. We present explicit formula with nice patterns for the part of the symbol involving algebraic letters for all multiplicities, and we find $17-2m$ multiplicative-independent letters for a given square root of Gram determinant, with $0\leq m\leq 4$ depending on the number of particles involved in the square root. We also observe that these algebraic letters can be found as poles of one-loop four-mass leading singularities with MHV or NMHV trees. As a byproduct of our algebraic results, we find a large class of components of two-loop NMHV, which can be written as differences of two double-pentagon integrals, particularly simple and absent of square roots. As an example, we present the complete symbol for $n=9$ whose alphabet contains $59\times 9$ rational letters, in addition to the $11 \times 9$ independent algebraic ones. We also give all-loop NMHV last-entry conditions for all multiplicities.

9.737462

8.780302

11.1351

8.706735

8.942762

9.524814

9.329836

8.58884

8.66346

11.797156

9.163453

8.793457

9.872576

8.89435

9.077301

9.06394

8.900221

8.993732

9.027112

9.799625

9.180183

0802.0468

Jacek Pawelczyk

Jacek Pawe{\l}czyk

Gauge Symmetry Breaking in a Throat Geometry

Latex, 16 pages

null

10.1142/S0217732308028570

null

hep-th

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

We analyze behaviour of D3-branes in BGMPZ throat geometry. We show that although single brane has some of the moduli stabilized multi-brane system tends to expand and form a bound state. Such a system loses non-abelian gauge symmetry.

[ { "created": "Mon, 4 Feb 2008 17:59:17 GMT", "version": "v1" } ]

2009-11-13

[ [ "Pawełczyk", "Jacek", "" ] ]

We analyze behaviour of D3-branes in BGMPZ throat geometry. We show that although single brane has some of the moduli stabilized multi-brane system tends to expand and form a bound state. Such a system loses non-abelian gauge symmetry.

29.466383

28.063139

28.291975

24.497032

23.879011

26.151031

24.871546

23.220522

22.81682

27.803064

23.572392

25.743484

29.246576

25.546217

26.034271

25.756758

25.700104

25.904865

23.962231

28.936596

24.28932

hep-th/9709155

Alfio Bonanno

A.Bonanno and D.Zappala'

Fixed point analysis of a scalar theory with an external field

4 pages, LaTex

Phys.Rev. D56 (1997) 3759-3762

10.1103/PhysRevD.56.3759

null

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

null

A momentum dependent projection of the Wegner-Hougton equation is derived for a scalar theory coupled to an external field. This formalism is useful to discuss the phase diagram of the theory. In particular we study some properties of the Gaussian fixed point.

[ { "created": "Sat, 20 Sep 1997 15:57:11 GMT", "version": "v1" } ]

2009-10-30

[ [ "Bonanno", "A.", "" ], [ "Zappala'", "D.", "" ] ]

A momentum dependent projection of the Wegner-Hougton equation is derived for a scalar theory coupled to an external field. This formalism is useful to discuss the phase diagram of the theory. In particular we study some properties of the Gaussian fixed point.

19.995377

13.923855

12.751578

11.535237

12.971804

15.280419

15.243592

12.370443

11.101212

16.2876

13.270805

13.414051

13.754208

12.802145

13.715734

14.904685

13.303632

13.261143

12.952337

12.451678

13.850359

hep-th/9808173

Milutin Blagojevic

M. Blagojevic, D. S. Popovic and B. Sazdovic

2D induced gravity from canonically gauged WZNW system

LaTeX, 21 pages

Phys.Rev. D59 (1999) 044021

10.1103/PhysRevD.59.044021

null

hep-th

null

Starting from the Kac--Moody structure of the WZNW model for SL(2,R) and using the general canonical formalism, we formulate a gauge theory invariant under local SL(2,R) x SL(2,R) and diffeomorphisms. This theory represents a gauge extension of the WZNW system, defined by a difference of two simple WZNW actions. By performing a partial gauge fixing and integrating out some dynamical variables, we prove that the resulting effective theory coincides with the induced gravity in 2D. The geometric properties of the induced gravity are obtained out of the gauge properties of the WZNW system with the help of the Dirac bracket formalism.

[ { "created": "Fri, 28 Aug 1998 13:24:38 GMT", "version": "v1" } ]

2009-10-31

[ [ "Blagojevic", "M.", "" ], [ "Popovic", "D. S.", "" ], [ "Sazdovic", "B.", "" ] ]

Starting from the Kac--Moody structure of the WZNW model for SL(2,R) and using the general canonical formalism, we formulate a gauge theory invariant under local SL(2,R) x SL(2,R) and diffeomorphisms. This theory represents a gauge extension of the WZNW system, defined by a difference of two simple WZNW actions. By performing a partial gauge fixing and integrating out some dynamical variables, we prove that the resulting effective theory coincides with the induced gravity in 2D. The geometric properties of the induced gravity are obtained out of the gauge properties of the WZNW system with the help of the Dirac bracket formalism.

7.474885

6.891272

7.076705

6.796624

6.607884

6.722775

7.553933

6.836392

6.595534

7.206905

6.79091

6.974462

6.937943

6.823478

6.91029

6.818423

6.936682

6.916268

6.739691

7.080797

6.787902

1608.02612

Adam Brown

Adam R. Brown, Leonard Susskind, and Ying Zhao

Quantum Complexity and Negative Curvature

43 pages

Phys. Rev. D 95, 045010 (2017)

10.1103/PhysRevD.95.045010

null

hep-th gr-qc quant-ph

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

As time passes, once simple quantum states tend to become more complex. For strongly coupled k-local Hamiltonians, this growth of computational complexity has been conjectured to follow a distinctive and universal pattern. In this paper we show that the same pattern is exhibited by a much simpler system: classical geodesics on a compact two-dimensional geometry of uniform negative curvature. This striking parallel persists whether the system is allowed to evolve naturally or is perturbed from the outside.

[ { "created": "Mon, 8 Aug 2016 20:20:34 GMT", "version": "v1" } ]

2017-02-28

[ [ "Brown", "Adam R.", "" ], [ "Susskind", "Leonard", "" ], [ "Zhao", "Ying", "" ] ]

As time passes, once simple quantum states tend to become more complex. For strongly coupled k-local Hamiltonians, this growth of computational complexity has been conjectured to follow a distinctive and universal pattern. In this paper we show that the same pattern is exhibited by a much simpler system: classical geodesics on a compact two-dimensional geometry of uniform negative curvature. This striking parallel persists whether the system is allowed to evolve naturally or is perturbed from the outside.

18.281183

15.056117

17.940268

16.356012

19.641941

16.506435

16.769487

14.149039

17.24313

18.508623

17.454529

16.227879

17.7421

16.361811

14.82468

15.325461

15.052105

16.978807

16.27949

17.215643

17.662441

1806.06366

Suat Dengiz

Note on soft photons and Faddeev-Jackiw symplectic reduction of quantum electrodynamics in the eikonal limit

10 pages, 6 figures, a review of some foremost distinct topics in the literature, to appear in the International Journal of Modern Physics A

International Journal of Modern Physics A Vol. 33 (2018) 1830020

10.1142/S0217751X1830020X

null

hep-th gr-qc

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

In this note, we go over the recent soft photon model and Faddeev-Jackiw quantization of the massless quantum electrodynamics in the eikonal limit to some extent. Throughout our readdressing, we observe that the gauge potentials in both approaches become pure gauges and the associated eikonal Faddeev-Jackiw quantum bracket matches with the soft quantum bracket. These observations and the fact that the gauge fields in two cases localize in two-dimensional plane (even if it is spatial in soft photon case and $1+1$-dimensional Minkowski in the eikonal case) imply that there might be an interesting relation between these two distinct perspectives.

[ { "created": "Sun, 17 Jun 2018 11:25:56 GMT", "version": "v1" }, { "created": "Tue, 7 Aug 2018 09:39:14 GMT", "version": "v2" } ]

2018-09-12

[ [ "Dengiz", "Suat", "" ] ]

In this note, we go over the recent soft photon model and Faddeev-Jackiw quantization of the massless quantum electrodynamics in the eikonal limit to some extent. Throughout our readdressing, we observe that the gauge potentials in both approaches become pure gauges and the associated eikonal Faddeev-Jackiw quantum bracket matches with the soft quantum bracket. These observations and the fact that the gauge fields in two cases localize in two-dimensional plane (even if it is spatial in soft photon case and $1+1$-dimensional Minkowski in the eikonal case) imply that there might be an interesting relation between these two distinct perspectives.

14.762628

13.63456

14.148723

13.897135

14.548635

14.636019

14.672309

14.512688

13.928029

14.764934

13.241952

13.548112

13.646062

13.37173

13.775182

13.567707

13.840965

13.499759

13.280684

13.85492

13.158979

2110.07535

Lorenz Eberhardt

A perturbative CFT dual for pure NS-NS AdS$_3$ strings

50 pages

null

10.1088/1751-8121/ac47b2

null

hep-th math-ph math.MP

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

We construct a CFT dual to string theory on AdS$_3$ with pure NS-NS flux. It is given by a symmetric orbifold of a linear dilaton theory deformed by a marginal operator from the twist-2 sector. We compute two- and three-point functions on the CFT side to 4th order in conformal perturbation theory at large $N$. They agree with the string computation at genus 0, thus providing ample evidence for a duality. We also show that the full spectra of both short and long strings on the CFT and the string side match. The duality should be understood as perturbative in $N^{-1}$.

[ { "created": "Thu, 14 Oct 2021 17:00:27 GMT", "version": "v1" } ]

2022-02-02

[ [ "Eberhardt", "Lorenz", "" ] ]

We construct a CFT dual to string theory on AdS$_3$ with pure NS-NS flux. It is given by a symmetric orbifold of a linear dilaton theory deformed by a marginal operator from the twist-2 sector. We compute two- and three-point functions on the CFT side to 4th order in conformal perturbation theory at large $N$. They agree with the string computation at genus 0, thus providing ample evidence for a duality. We also show that the full spectra of both short and long strings on the CFT and the string side match. The duality should be understood as perturbative in $N^{-1}$.

6.135643

6.001114

7.061491

5.627243

5.999213

6.126258

5.799108

5.423694

6.028646

7.354347

5.933585

5.936952

6.203508

5.951764

5.99087

5.830928

5.915188

5.831586

6.103677

6.279785

5.894604

hep-th/9812115

Andreas Fring

A.G. Bytsko and A. Fring

A Note on ADE-Spectra in Conformal Field Theory

7 pages Latex

Phys.Lett. B454 (1999) 59-69

10.1016/S0370-2693(99)00300-7

null

hep-th math-ph math.MP

null

We demonstrate that certain Virasoro characters (and their linear combinations) in minimal and non-minimal conformal models which admit factorized forms are manifestly related to the ADE series. This permits to extract quasi-particle spectra of a Lie algebraic nature which resembles the features of Toda field theory. These spectra possibly admit a construction in terms of the $W_n$-generators. In the course of our analysis we establish interrelations between the factorized characters related to the parafermionic models, the compactified boson and the minimal models.

[ { "created": "Mon, 14 Dec 1998 23:32:41 GMT", "version": "v1" }, { "created": "Mon, 1 Feb 1999 09:46:46 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bytsko", "A. G.", "" ], [ "Fring", "A.", "" ] ]

We demonstrate that certain Virasoro characters (and their linear combinations) in minimal and non-minimal conformal models which admit factorized forms are manifestly related to the ADE series. This permits to extract quasi-particle spectra of a Lie algebraic nature which resembles the features of Toda field theory. These spectra possibly admit a construction in terms of the $W_n$-generators. In the course of our analysis we establish interrelations between the factorized characters related to the parafermionic models, the compactified boson and the minimal models.

16.388332

15.16334

18.487247

14.211196

15.79318

15.208938

16.002769

15.137315

15.39984

21.881952

15.511337

15.852883

15.798517

14.830733

15.208325

16.159491

15.192293

15.660768

14.956584

15.978558

15.033154

1405.3789

Konstantin Klimenko

D. Ebert, T.G. Khunjua, K.G. Klimenko, V.Ch. Zhukovsky

Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL$_2$ model

20 pages, 3 figures; references added; discussion section extended; published version

Phys. Rev. D 90, 045021 (2014)

10.1103/PhysRevD.90.045021

null

hep-th hep-ph

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

We investigate the possibility of spatially homogeneous and inhomogeneous chiral fermion-antifermion condensation and superconducting fermion-fermion pairing in the (1+1)-dimensional model by Chodos {\it et al.} [ Phys. Rev. D 61, 045011 (2000)] generalized to continuous chiral invariance. The consideration is performed at nonzero values of temperature $T$, electric charge chemical potential $\mu$ and chiral charge chemical potential $\mu_5$. It is shown that at $G_1<G_2$, where $G_1$ and $G_2$ are the coupling constants in the fermion-antifermion and fermion-fermion channels, the $(\mu,\mu_5)$-phase structure of the model is in a one-to-one correspondence with the phase structure at $G_1>G_2$ (called duality correspondence). Under the duality transformation the (inhomogeneous) chiral symmetry breaking (CSB) phase is mapped into the (inhomogeneous) superconducting (SC) phase and vice versa. If $G_1=G_2$, then the phase structure of the model is self-dual. Nevertheless, the degeneracy between the CSB and SC phases is possible in this case only when there is a spatial inhomogeneity of condensates.

[ { "created": "Thu, 15 May 2014 10:12:01 GMT", "version": "v1" }, { "created": "Thu, 28 Aug 2014 14:21:13 GMT", "version": "v2" } ]

2014-09-05

[ [ "Ebert", "D.", "" ], [ "Khunjua", "T. G.", "" ], [ "Klimenko", "K. G.", "" ], [ "Zhukovsky", "V. Ch.", "" ] ]

We investigate the possibility of spatially homogeneous and inhomogeneous chiral fermion-antifermion condensation and superconducting fermion-fermion pairing in the (1+1)-dimensional model by Chodos {\it et al.} [ Phys. Rev. D 61, 045011 (2000)] generalized to continuous chiral invariance. The consideration is performed at nonzero values of temperature $T$, electric charge chemical potential $\mu$ and chiral charge chemical potential $\mu_5$. It is shown that at $G_1<G_2$, where $G_1$ and $G_2$ are the coupling constants in the fermion-antifermion and fermion-fermion channels, the $(\mu,\mu_5)$-phase structure of the model is in a one-to-one correspondence with the phase structure at $G_1>G_2$ (called duality correspondence). Under the duality transformation the (inhomogeneous) chiral symmetry breaking (CSB) phase is mapped into the (inhomogeneous) superconducting (SC) phase and vice versa. If $G_1=G_2$, then the phase structure of the model is self-dual. Nevertheless, the degeneracy between the CSB and SC phases is possible in this case only when there is a spatial inhomogeneity of condensates.

4.359818

4.926472

4.079398

4.138799

4.617218

4.297913

4.554613

4.493266

4.096741

4.344494

4.404741

4.351593

4.291549

4.25068

4.256303

4.279366

4.267625

4.376583

4.268142

4.310885

4.327993

1605.01726

Valentina Forini

Lorenzo Bianchi, Marco S. Bianchi, Valentina Forini, Bj\"orn Leder, Edoardo Vescovi

Green-Schwarz superstring on the lattice

33 pages, 14 figures, 2 Tables. Text overlap with the Conference Proceedings where some preliminary results were presented, arXiv:1601.04670v1

null

10.1007/JHEP07(2016)014

HU-EP-16/11, QMUL-PH-16-09

hep-th hep-lat

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

We consider possible discretizations for a gauge-fixed Green-Schwarz action of Type IIB superstring. We use them for measuring the action, from which we extract the cusp anomalous dimension of planar $\mathcal{N}=4$ SYM as derived from AdS/CFT, as well as the mass of the two $AdS$ excitations transverse to the relevant null cusp classical string solution. We perform lattice simulations employing a Rational Hybrid Monte Carlo (RHMC) algorithm and two Wilson-like fermion discretizations, one of which preserves the global $SO(6)$ symmetry of the model. We compare our results with the expected behavior at various values of $g=\frac{\sqrt{\lambda}}{4\pi}$. For both the observables, we find a good agreement for large $g$, which is the perturbative regime of the sigma-model. For smaller values of $g$, the expectation value of the action exhibits a deviation compatible with the presence of quadratic divergences. After their non-perturbative subtraction the continuum limit can be taken, and suggests a qualitative agreement with the non-perturbative expectation from AdS/CFT. Furthermore, we detect a phase in the fermion determinant, whose origin we explain, that for very small $g$ leads to a sign problem not treatable via standard reweigthing. The continuum extrapolations of the observables in the two different discretizations agree within errors, which is strongly suggesting that they lead to the same continuum limit. Part of the results discussed here were presented earlier in arXiv:1601.04670.

[ { "created": "Thu, 5 May 2016 20:00:01 GMT", "version": "v1" } ]

2016-07-20

[ [ "Bianchi", "Lorenzo", "" ], [ "Bianchi", "Marco S.", "" ], [ "Forini", "Valentina", "" ], [ "Leder", "Björn", "" ], [ "Vescovi", "Edoardo", "" ] ]

We consider possible discretizations for a gauge-fixed Green-Schwarz action of Type IIB superstring. We use them for measuring the action, from which we extract the cusp anomalous dimension of planar $\mathcal{N}=4$ SYM as derived from AdS/CFT, as well as the mass of the two $AdS$ excitations transverse to the relevant null cusp classical string solution. We perform lattice simulations employing a Rational Hybrid Monte Carlo (RHMC) algorithm and two Wilson-like fermion discretizations, one of which preserves the global $SO(6)$ symmetry of the model. We compare our results with the expected behavior at various values of $g=\frac{\sqrt{\lambda}}{4\pi}$. For both the observables, we find a good agreement for large $g$, which is the perturbative regime of the sigma-model. For smaller values of $g$, the expectation value of the action exhibits a deviation compatible with the presence of quadratic divergences. After their non-perturbative subtraction the continuum limit can be taken, and suggests a qualitative agreement with the non-perturbative expectation from AdS/CFT. Furthermore, we detect a phase in the fermion determinant, whose origin we explain, that for very small $g$ leads to a sign problem not treatable via standard reweigthing. The continuum extrapolations of the observables in the two different discretizations agree within errors, which is strongly suggesting that they lead to the same continuum limit. Part of the results discussed here were presented earlier in arXiv:1601.04670.

7.49396

8.608734

9.091386

8.242058

8.477897

8.933443

8.28106

8.372975

8.214632

9.627923

8.025816

7.878685

8.197859

7.595541

7.57876

7.79809

7.656516

7.558274

7.723865

8.201747

7.642411

hep-th/9709105

Clovis Wotzasek

R. Banerjee and C. Wotzasek

Bosonisation and Soldering of Dual Symmetries in Two and Three Dimensions

21 pages, LaTex file, Ref.(14) has been corrected

null

hep-th

null

We develop a technique that solders the dual aspects of some symmetry following from the bosonisation of two distinct fermionic models, thereby leading to new results which cannot be otherwise obtained. Exploiting this technique, the two dimensional chiral determinants with opposite chirality are soldered to reproduce either the usual gauge invariant expression leading to the Schwinger model or, alternatively, the Thirring model. Likewise, two apparently independent three dimensional massive Thirring models with same coupling but opposite mass signatures, in the long wavelegth limit, combine by the process of bosonisation and soldering to yield an effective massive Maxwell theory. The current bosonisation formulas are given, both in the original independent formulation as well as the effective theory, and shown to yield consistent results for the correlation functions. Similar features also hold for quantum electrodynamics in three dimensions.

[ { "created": "Mon, 15 Sep 1997 18:44:33 GMT", "version": "v1" }, { "created": "Thu, 30 Oct 1997 00:10:30 GMT", "version": "v2" } ]

2016-09-06

[ [ "Banerjee", "R.", "" ], [ "Wotzasek", "C.", "" ] ]

We develop a technique that solders the dual aspects of some symmetry following from the bosonisation of two distinct fermionic models, thereby leading to new results which cannot be otherwise obtained. Exploiting this technique, the two dimensional chiral determinants with opposite chirality are soldered to reproduce either the usual gauge invariant expression leading to the Schwinger model or, alternatively, the Thirring model. Likewise, two apparently independent three dimensional massive Thirring models with same coupling but opposite mass signatures, in the long wavelegth limit, combine by the process of bosonisation and soldering to yield an effective massive Maxwell theory. The current bosonisation formulas are given, both in the original independent formulation as well as the effective theory, and shown to yield consistent results for the correlation functions. Similar features also hold for quantum electrodynamics in three dimensions.

19.395632

13.059554

19.801266

16.097532

14.174173

14.335918

13.015611

14.547452

14.02683

21.749079

15.284497

17.135029

18.18379

17.233713

17.285513

17.317837

17.272268

16.871107

16.866304

18.187737

17.729279

1905.03787

Xi Dong

Bartlomiej Czech, Xi Dong

Holographic Entropy Cone with Time Dependence in Two Dimensions

37 pages, 10 figures

null

10.1007/JHEP10(2019)177

null

hep-th

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

In holographic duality, if a boundary state has a geometric description that realizes the Ryu-Takayanagi proposal then its entanglement entropies must obey certain inequalities that together define the so-called holographic entropy cone. A large family of such inequalities have been proven under the assumption that the bulk geometry is static, using a method involving contraction maps. By using kinematic space techniques, we show that in two boundary (three bulk) dimensions, all entropy inequalities that can be proven in the static case by contraction maps must also hold in holographic states with time dependence.

[ { "created": "Thu, 9 May 2019 18:00:01 GMT", "version": "v1" } ]

2020-01-08

[ [ "Czech", "Bartlomiej", "" ], [ "Dong", "Xi", "" ] ]

In holographic duality, if a boundary state has a geometric description that realizes the Ryu-Takayanagi proposal then its entanglement entropies must obey certain inequalities that together define the so-called holographic entropy cone. A large family of such inequalities have been proven under the assumption that the bulk geometry is static, using a method involving contraction maps. By using kinematic space techniques, we show that in two boundary (three bulk) dimensions, all entropy inequalities that can be proven in the static case by contraction maps must also hold in holographic states with time dependence.

10.982477

9.96606

13.763215

9.680718

10.842025

9.924601

10.94652

9.781179

9.998651

16.144125

9.364091

10.264545

11.496171

10.445455

10.300709

10.297397

10.707171

9.999612

9.735839

10.934008

10.079678

2403.14600

Dmitry Galakhov

Dmitry Galakhov, Alexei Morozov and Nikita Tselousov

Wall-Crossing Effects on Quiver BPS Algebras

36 pages, 7 figures, minor corrections, references added

JHEP05(2024)118

10.1007/JHEP05(2024)118

null

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

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

BPS states in supersymmetric theories can admit additional algebro-geometric structures in their spectra, described as quiver Yangian algebras. Equivariant fixed points on the quiver variety are interpreted as vectors populating a representation module, and matrix elements for the generators are then defined as Duistermaat-Heckman integrals in the vicinity of these points. The well-known wall-crossing phenomena are that the fixed point spectrum establishes a dependence on the stability (Fayet-Illiopolous) parameters $\zeta$, jumping abruptly across the walls of marginal stability, which divide the $\zeta$-space into a collection of stability chambers -- ``phases'' of the theory. The standard construction of the quiver Yangian algebra relies heavily on the molten crystal model, valid in a sole cyclic chamber where all the $\zeta$-parameters have the same sign. We propose to lift this restriction and investigate the effects of the wall-crossing phenomena on the quiver Yangian algebra and its representations -- starting with the example of affine super-Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. In addition to the molten crystal construction more general atomic structures appear, in other non-cyclic phases (chambers of the $\zeta$-space). We call them glasses and also divide in a few different classes. For some of the new phases we manage to associate an algebraic structure again as a representation of the same affine Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. This observation supports an earlier conjecture that the BPS algebraic structures can be considered as new wall-crossing invariants.

[ { "created": "Thu, 21 Mar 2024 17:51:04 GMT", "version": "v1" }, { "created": "Mon, 15 Apr 2024 13:00:36 GMT", "version": "v2" } ]

2024-05-14

[ [ "Galakhov", "Dmitry", "" ], [ "Morozov", "Alexei", "" ], [ "Tselousov", "Nikita", "" ] ]

BPS states in supersymmetric theories can admit additional algebro-geometric structures in their spectra, described as quiver Yangian algebras. Equivariant fixed points on the quiver variety are interpreted as vectors populating a representation module, and matrix elements for the generators are then defined as Duistermaat-Heckman integrals in the vicinity of these points. The well-known wall-crossing phenomena are that the fixed point spectrum establishes a dependence on the stability (Fayet-Illiopolous) parameters $\zeta$, jumping abruptly across the walls of marginal stability, which divide the $\zeta$-space into a collection of stability chambers -- ``phases'' of the theory. The standard construction of the quiver Yangian algebra relies heavily on the molten crystal model, valid in a sole cyclic chamber where all the $\zeta$-parameters have the same sign. We propose to lift this restriction and investigate the effects of the wall-crossing phenomena on the quiver Yangian algebra and its representations -- starting with the example of affine super-Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. In addition to the molten crystal construction more general atomic structures appear, in other non-cyclic phases (chambers of the $\zeta$-space). We call them glasses and also divide in a few different classes. For some of the new phases we manage to associate an algebraic structure again as a representation of the same affine Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. This observation supports an earlier conjecture that the BPS algebraic structures can be considered as new wall-crossing invariants.

10.345032

10.825385

11.460824

9.793424

11.407885

11.020487

11.260539

10.534459

10.439748

12.183207

10.026512

10.113719

10.199752

9.840175

9.816772

9.885679

9.960992

9.728903

9.878317

9.998458

10.047153

hep-th/0612263

Toshiaki Tanaka

Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems II. Third Order

22 pages, no figures; minor typos corrected, version to appear in Annals of Physics

AnnalsPhys.322:2682-2702,2007

10.1016/j.aop.2007.01.004

null

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

null

Based on the general formalism of parafermionic algebra and parasupersymmetry proposed previously by us, we explicitly construct third-order parafermionic algebra and multiplication law, and then realize third-order parasupersymmetric quantum systems. We find some novel features in the third-order, namely, the emergence of a fermionic degree of freedom and of a generalized parastatistics. We show that for one-body cases the generalized Rubakov-Spiridonov model can be constructed also in our framework and find that it admits a generalized 3-fold superalgebra. We also find that a three-body system can have third-order parasupersymmetry where three independent supersymmetries are folded. In both cases, we also investigate the new concept of quasi-parasupersymmetry introduced by us and find that those of order (3,3) are indeed realized under less restrictive conditions than (ordinary) parasupersymmetric cases.

[ { "created": "Mon, 25 Dec 2006 07:36:22 GMT", "version": "v1" }, { "created": "Fri, 9 Mar 2007 08:41:34 GMT", "version": "v2" } ]

2008-11-26

[ [ "Tanaka", "Toshiaki", "" ] ]

Based on the general formalism of parafermionic algebra and parasupersymmetry proposed previously by us, we explicitly construct third-order parafermionic algebra and multiplication law, and then realize third-order parasupersymmetric quantum systems. We find some novel features in the third-order, namely, the emergence of a fermionic degree of freedom and of a generalized parastatistics. We show that for one-body cases the generalized Rubakov-Spiridonov model can be constructed also in our framework and find that it admits a generalized 3-fold superalgebra. We also find that a three-body system can have third-order parasupersymmetry where three independent supersymmetries are folded. In both cases, we also investigate the new concept of quasi-parasupersymmetry introduced by us and find that those of order (3,3) are indeed realized under less restrictive conditions than (ordinary) parasupersymmetric cases.

12.562303

11.961302

14.392195

11.727816

12.504072

12.880928

12.694698

11.92509

11.885829

14.896146

11.969412

11.756466

12.038672

11.605282

11.46518

12.327637

11.967027

11.778948

11.499056

12.420238

11.859311

1102.0290

Joseph Marsano

Matthew J. Dolan, Joseph Marsano, Natalia Saulina and Sakura Schafer-Nameki

F-theory GUTs with U(1) Symmetries: Generalities and Survey

27 pages plus 5 appendices (70 pages total) ; v2 references added

null

10.1103/PhysRevD.84.066008

IPPP-11-06, DCPT-11-12, EFI-11-05, KCL-MTH-11-02, PI-STRINGS-211

hep-th

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

We study the structure of SU(5) F-theory GUT models that engineer additional U(1) symmetries. These are highly constrained by a set of relations observed by Dudas and Palti (DP) that originate from the physics of 4D anomaly cancellation. Using the DP relations, we find a general tension between unification and the suppression of dimension 5 proton decay when one or more U(1)'s are PQ symmetries and hypercharge flux is used to break the SU(5) GUT group. We then specialize to spectral cover models, whose global completions in F- theory we know how to construct. In that setting, we provide a technical derivation of the DP relations, construct spectral covers that yield all possible solutions to them, and provide a complete survey of spectral cover models for SU(5) GUTs that exhibit two U(1) symmetries.

[ { "created": "Tue, 1 Feb 2011 21:00:17 GMT", "version": "v1" }, { "created": "Thu, 17 Mar 2011 19:43:00 GMT", "version": "v2" } ]

2013-05-29

[ [ "Dolan", "Matthew J.", "" ], [ "Marsano", "Joseph", "" ], [ "Saulina", "Natalia", "" ], [ "Schafer-Nameki", "Sakura", "" ] ]

We study the structure of SU(5) F-theory GUT models that engineer additional U(1) symmetries. These are highly constrained by a set of relations observed by Dudas and Palti (DP) that originate from the physics of 4D anomaly cancellation. Using the DP relations, we find a general tension between unification and the suppression of dimension 5 proton decay when one or more U(1)'s are PQ symmetries and hypercharge flux is used to break the SU(5) GUT group. We then specialize to spectral cover models, whose global completions in F- theory we know how to construct. In that setting, we provide a technical derivation of the DP relations, construct spectral covers that yield all possible solutions to them, and provide a complete survey of spectral cover models for SU(5) GUTs that exhibit two U(1) symmetries.

8.855694

8.503809

9.952079

8.391865

8.962434

8.18051

9.033224

8.600451

7.808703

9.749674

8.087237

8.741762

8.771454

8.545156

8.594295

8.783937

8.560257

8.408917

8.522279

8.861314

8.366747

0705.1640

Alexander Schmidt

Alexander Schmidt, Hartmut Wachter

Spinor calculus for q-deformed quantum spaces I

80 pages, LaTex, no figures

null

hep-th

null

The article is dedicated to q-deformed versions of spinor calculus. As a kind of review, the most relevant properties of the two-dimensional quantum plane are summarized. Additionally, the relationship between the quantum plane and higher-dimensional quantum spaces like the q-deformed Euclidean space in four dimensions or the q-deformed Minkowski space is outlined. These considerations are continued by introducing q-analogs of the Pauli matrices. Their main properties are discussed in detail and numerous relations that could prove useful in physical applications are presented. In this respect, q-deformed versions of the important Fierz identities are written down.

[ { "created": "Fri, 11 May 2007 13:05:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Schmidt", "Alexander", "" ], [ "Wachter", "Hartmut", "" ] ]

The article is dedicated to q-deformed versions of spinor calculus. As a kind of review, the most relevant properties of the two-dimensional quantum plane are summarized. Additionally, the relationship between the quantum plane and higher-dimensional quantum spaces like the q-deformed Euclidean space in four dimensions or the q-deformed Minkowski space is outlined. These considerations are continued by introducing q-analogs of the Pauli matrices. Their main properties are discussed in detail and numerous relations that could prove useful in physical applications are presented. In this respect, q-deformed versions of the important Fierz identities are written down.

9.318583

8.37949

10.213202

8.776801

9.410475

9.124447

9.159023

8.568255

8.303799

10.016205

8.968688

8.907431

9.153708

8.750796

8.857528

8.927829

8.551822

8.726397

8.865432

9.371767

8.797192

1308.2085

Vasilis Oikonomou

V.K. Oikonomou

Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics

Revised version

Class.Quant.Grav. 31 (2014) 025018

10.1088/0264-9381/31/2/025018

null

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

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

We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic degrees of freedom, which are up and down quarks as long as charged leptons, are connected to three independent N=2, $d=1$ supersymmetric quantum mechanics algebras. As we demonstrate, these algebras can be combined to form higher order representations of N=2, $d=1$ supersymmetry. Due to the uniform coupling of the domain wall solutions to the down-quarks and leptons, we also show that a higher order N=2, $d=1$ representation of the down-quark--lepton system is invariant under a duality transformation between the couplings. In addition, the two N=2, $d=1$ supersymmetries of the down-quark--lepton system, combine at the coupling unification scale to an N=4, $d=1$ supersymmetry. Furthermore, we present the various extra geometric and algebraic attributes that the fermionic systems acquire, owing to the underlying N=2, $d=1$ algebras.

[ { "created": "Fri, 9 Aug 2013 11:00:09 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2013 14:16:34 GMT", "version": "v2" }, { "created": "Tue, 26 Nov 2013 17:45:58 GMT", "version": "v3" } ]

2015-06-16

[ [ "Oikonomou", "V. K.", "" ] ]

We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic degrees of freedom, which are up and down quarks as long as charged leptons, are connected to three independent N=2, $d=1$ supersymmetric quantum mechanics algebras. As we demonstrate, these algebras can be combined to form higher order representations of N=2, $d=1$ supersymmetry. Due to the uniform coupling of the domain wall solutions to the down-quarks and leptons, we also show that a higher order N=2, $d=1$ representation of the down-quark--lepton system is invariant under a duality transformation between the couplings. In addition, the two N=2, $d=1$ supersymmetries of the down-quark--lepton system, combine at the coupling unification scale to an N=4, $d=1$ supersymmetry. Furthermore, we present the various extra geometric and algebraic attributes that the fermionic systems acquire, owing to the underlying N=2, $d=1$ algebras.

7.765599

7.862035

7.686448

7.150153

7.275671

7.199414

7.603848

7.087924

7.348937

8.138721

7.18101

7.363352

7.702674

7.320159

7.44512

7.429775

7.496454

7.216187

7.514266

7.487699

7.374843

0903.3779

Ergin Sezgin

Ergin Sezgin and Yoshiaki Tanii

Witten-Nester Energy in Topologically Massive Gravity

43 pages

Class.Quant.Grav.26:235005,2009

10.1088/0264-9381/26/23/235005

MIFP-09-13, STUPP-09-201

hep-th

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

We formulate topologically massive supergravity with cosmological constant in the first order formalism, and construct the Noether supercurrent and superpotential associated with its local supersymmetry. Using these results, we construct in ordinary topologically massive gravity the Witten-Nester integral for conserved charges containing spinors which satisfy a generalized version of Witten equation on the initial value surface. We show that the Witten-Nester charge, represented as an integral over the boundary of the initial value surface produces the Abbott-Deser-Tekin energy for asymptotically anti de Sitter spacetimes. We consider all values of the Chern-Simons coupling constant, including the critical value known as the chiral point, and study the cases of standard Brown-Henneaux boundary conditions, as well as their weaker version that allow a slower fall-off. Studying the Witten-Nester energy as a bulk integral over the initial value surface instead, we find a bound on the energy, and through it the sufficient condition for the positivity of the energy. In particular, we find that spacetimes of Petrov type N that admit globally well defined solutions of the generalized Witten equation have positive energy.

[ { "created": "Mon, 23 Mar 2009 03:21:42 GMT", "version": "v1" } ]

2009-11-13

[ [ "Sezgin", "Ergin", "" ], [ "Tanii", "Yoshiaki", "" ] ]

We formulate topologically massive supergravity with cosmological constant in the first order formalism, and construct the Noether supercurrent and superpotential associated with its local supersymmetry. Using these results, we construct in ordinary topologically massive gravity the Witten-Nester integral for conserved charges containing spinors which satisfy a generalized version of Witten equation on the initial value surface. We show that the Witten-Nester charge, represented as an integral over the boundary of the initial value surface produces the Abbott-Deser-Tekin energy for asymptotically anti de Sitter spacetimes. We consider all values of the Chern-Simons coupling constant, including the critical value known as the chiral point, and study the cases of standard Brown-Henneaux boundary conditions, as well as their weaker version that allow a slower fall-off. Studying the Witten-Nester energy as a bulk integral over the initial value surface instead, we find a bound on the energy, and through it the sufficient condition for the positivity of the energy. In particular, we find that spacetimes of Petrov type N that admit globally well defined solutions of the generalized Witten equation have positive energy.

8.532374

9.387958

8.975976

8.499899

9.074431

7.955168

9.328218

8.342303

8.406371

9.889911

8.628579

8.438292

8.264455

8.455429

8.700503

8.660531

8.158404

8.466276

8.213782

8.568688

8.117746

hep-th/0410215

Vladimir Alexandrovich Krykhtin

I.L. Buchbinder, V.A. Krykhtin, A. Pashnev

BRST approach to Lagrangian construction for fermionic massless higher spin fields

24 pages; v4: Minor corrections, added references, version accepted for publication in NPB

Nucl.Phys. B711 (2005) 367-391

10.1016/j.nuclphysb.2005.01.017

null

hep-th

null

We develop the BRST approach to Lagrangian formulation for all massless half-integer higher spin fields on an arbitrary dimensional flat space. General procedure of Lagrangian construction describing the dynamics of fermionic field with any spin is given. It is shown that in fermionic case the higher spin field model is a reducible gauge theory and the order of reducibility grows with the value of spin. No off-shell constraints on the fields and the gauge parameters are used. We prove that in four dimensions after partial gauge fixing the Lagrangian obtained can be transformed to Fang-Fronsdal form however, in general case, it includes the auxiliary fields and possesses the more gauge symmetries in compare with Fang-Fronsdal Lagrangian. As an example of general procedure, we derive the new Lagrangian for spin 5/2 field containing all set of auxiliary fields and gauge symmetries of free fermionic higher spin field theory.

[ { "created": "Thu, 21 Oct 2004 12:07:17 GMT", "version": "v1" }, { "created": "Mon, 25 Oct 2004 11:15:35 GMT", "version": "v2" }, { "created": "Thu, 18 Nov 2004 13:14:21 GMT", "version": "v3" }, { "created": "Mon, 24 Jan 2005 12:37:07 GMT", "version": "v4" } ]

2010-04-05

[ [ "Buchbinder", "I. L.", "" ], [ "Krykhtin", "V. A.", "" ], [ "Pashnev", "A.", "" ] ]

We develop the BRST approach to Lagrangian formulation for all massless half-integer higher spin fields on an arbitrary dimensional flat space. General procedure of Lagrangian construction describing the dynamics of fermionic field with any spin is given. It is shown that in fermionic case the higher spin field model is a reducible gauge theory and the order of reducibility grows with the value of spin. No off-shell constraints on the fields and the gauge parameters are used. We prove that in four dimensions after partial gauge fixing the Lagrangian obtained can be transformed to Fang-Fronsdal form however, in general case, it includes the auxiliary fields and possesses the more gauge symmetries in compare with Fang-Fronsdal Lagrangian. As an example of general procedure, we derive the new Lagrangian for spin 5/2 field containing all set of auxiliary fields and gauge symmetries of free fermionic higher spin field theory.

8.992422

6.411408

10.203164

7.111993

6.623546

6.286675

6.564782

6.877923

7.022025

9.960056

6.926235

7.801937

9.176604

8.203143

7.856411

7.874032

7.739187

8.112054

8.159531

9.09569

7.907861

hep-th/0304136

N. I. Stoilova

R.C. King, T.D. Palev, N.I. Stoilova, J. Van der Jeugt

The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator

31 pages, 19 figures, an extended version of this paper can be found in hep-th/0210164

J.Phys.A36:4337-4362,2003

10.1088/0305-4470/36/15/309

null

hep-th math-ph math.MP

null

The properties of a non-canonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each state space W(p), p=1,2,..., the energy E_q, q=0,1,2,3, takes no more than 4 different values. If the oscillator is in a stationary state \psi_q\in W(p) then measurements of the non-commuting Cartesian coordinates of the particle are such that their allowed values are consistent with it being found at a finite number of sites, called ``nests''. These lie on a sphere centered on the origin of fixed, finite radius \varrho_q. The nests themselves are at the vertices of a rectangular parallelepiped. In the typical cases (p>2) the number of nests is 8 for q=0 and 3, and varies from 8 to 24, depending on the state, for q=1 and 2. The number of nests is less in the atypical cases (p=1,2), but it is never less than two. In certain states in W(2) (resp. in W(1)) the oscillator is ``polarized'' so that all the nests lie on a plane (resp. on a line). The particle cannot be localized in any one of the available nests alone since the coordinates do not commute. The probabilities of measuring particular values of the coordinates are discussed. The mean trajectories and the standard deviations of the coordinates and momenta are computed, and conclusions are drawn about uncertainty relations.

[ { "created": "Tue, 15 Apr 2003 14:24:52 GMT", "version": "v1" } ]

2008-11-26

[ [ "King", "R. C.", "" ], [ "Palev", "T. D.", "" ], [ "Stoilova", "N. I.", "" ], [ "Van der Jeugt", "J.", "" ] ]

The properties of a non-canonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each state space W(p), p=1,2,..., the energy E_q, q=0,1,2,3, takes no more than 4 different values. If the oscillator is in a stationary state \psi_q\in W(p) then measurements of the non-commuting Cartesian coordinates of the particle are such that their allowed values are consistent with it being found at a finite number of sites, called ``nests''. These lie on a sphere centered on the origin of fixed, finite radius \varrho_q. The nests themselves are at the vertices of a rectangular parallelepiped. In the typical cases (p>2) the number of nests is 8 for q=0 and 3, and varies from 8 to 24, depending on the state, for q=1 and 2. The number of nests is less in the atypical cases (p=1,2), but it is never less than two. In certain states in W(2) (resp. in W(1)) the oscillator is ``polarized'' so that all the nests lie on a plane (resp. on a line). The particle cannot be localized in any one of the available nests alone since the coordinates do not commute. The probabilities of measuring particular values of the coordinates are discussed. The mean trajectories and the standard deviations of the coordinates and momenta are computed, and conclusions are drawn about uncertainty relations.

7.652642

8.596758

9.316

7.941159

7.785021

7.870033

8.213017

8.185019

8.047923

9.192328

7.480567

7.604876

7.719404

7.715389

7.877451

7.507627

7.518006

7.732658

7.696635

7.965825

7.505269

1403.5297

Daniel Grumiller

D. Grumiller, M. Riegler and J. Rosseel

Unitarity in three-dimensional flat space higher spin theories

34 pp, v2: added two paragraphs in section 5.3 + minor changes

null

10.1007/JHEP07(2014)015

TUW-14-05

hep-th

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

We investigate generic flat-space higher spin theories in three dimensions and find a no-go result, given certain assumptions that we spell out. Namely, it is only possible to have at most two out of the following three properties: unitarity, flat space, non-trivial higher spin states. Interestingly, unitarity provides an (algebra-dependent) upper bound on the central charge, like c=42 for the Galilean $W_4^{(2-1-1)}$ algebra. We extend this no-go result to rule out unitary "multi-graviton" theories in flat space. We also provide an example circumventing the no-go result: Vasiliev-type flat space higher spin theory based on hs(1) can be unitary and simultaneously allow for non-trivial higher-spin states in the dual field theory.

[ { "created": "Thu, 20 Mar 2014 21:00:02 GMT", "version": "v1" }, { "created": "Fri, 23 May 2014 11:27:24 GMT", "version": "v2" } ]

2015-06-19

[ [ "Grumiller", "D.", "" ], [ "Riegler", "M.", "" ], [ "Rosseel", "J.", "" ] ]

We investigate generic flat-space higher spin theories in three dimensions and find a no-go result, given certain assumptions that we spell out. Namely, it is only possible to have at most two out of the following three properties: unitarity, flat space, non-trivial higher spin states. Interestingly, unitarity provides an (algebra-dependent) upper bound on the central charge, like c=42 for the Galilean $W_4^{(2-1-1)}$ algebra. We extend this no-go result to rule out unitary "multi-graviton" theories in flat space. We also provide an example circumventing the no-go result: Vasiliev-type flat space higher spin theory based on hs(1) can be unitary and simultaneously allow for non-trivial higher-spin states in the dual field theory.

10.891296

12.138173

12.485358

11.3633

11.820196

11.457037

11.538315

11.823608

10.722977

12.641836

10.895983

10.568643

11.121859

10.555291

11.191886

10.732367

10.352896

10.886603

10.458465

11.216662

10.702442

0909.1669

Sami Saxell

Quantum Space-Time and Noncommutative Gauge Field Theories

PhD thesis, 55 pages; references added to the original version; layout modified and typos corrected

null

HU-P-D161, Report series in Physics, University of Helsinki

hep-th

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

The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative space-time is the apparent loss of Lorentz invariance that has been addressed in different ways in the literature. One recently developed approach is to eliminate the Lorentz violating effects by integrating over the parameter of noncommutativity. Fundamental properties of such theories are investigated in this thesis. Another issue addressed is model building, which is difficult in the noncommutative setting due to severe restrictions on the possible gauge symmetries imposed by the noncommutativity of the space-time. Possible ways to relieve these restrictions are investigated and applied and a noncommutative version of the Minimal Supersymmetric Standard Model is presented. While putting the results obtained in the three original publications into their proper context, the introductory part of this thesis aims to provide an overview of the present situation in the field.

[ { "created": "Wed, 9 Sep 2009 10:41:58 GMT", "version": "v1" }, { "created": "Thu, 17 Sep 2009 10:39:01 GMT", "version": "v2" } ]

2009-09-17

[ [ "Saxell", "Sami", "" ] ]

The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative space-time is the apparent loss of Lorentz invariance that has been addressed in different ways in the literature. One recently developed approach is to eliminate the Lorentz violating effects by integrating over the parameter of noncommutativity. Fundamental properties of such theories are investigated in this thesis. Another issue addressed is model building, which is difficult in the noncommutative setting due to severe restrictions on the possible gauge symmetries imposed by the noncommutativity of the space-time. Possible ways to relieve these restrictions are investigated and applied and a noncommutative version of the Minimal Supersymmetric Standard Model is presented. While putting the results obtained in the three original publications into their proper context, the introductory part of this thesis aims to provide an overview of the present situation in the field.

7.18503

7.317598

7.741627

7.247225

7.474171

7.278923

7.834369

7.510015

7.229222

7.727503

7.152319

6.843703

6.989187

7.115948

6.735437

6.833995

7.039799

6.797933

7.07143

6.94411

6.898968

hep-th/9212091

Judy Mack

C. R. Hagen

Comment on "Attractive Forces between Electrons in 2 + 1 Dimensional QED"

4 pages

Phys.Rev.Lett. 71 (1993) 202

10.1103/PhysRevLett.71.202

UR-1297, ER-40685-746

hep-th

null

It is shown that a model recently proposed for numerical calculations of bound states in QED$_3$ is in fact an improper truncation of the Aharonov-Bohm potential.

[ { "created": "Tue, 15 Dec 1992 14:31:00 GMT", "version": "v1" } ]

2016-09-06

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

It is shown that a model recently proposed for numerical calculations of bound states in QED$_3$ is in fact an improper truncation of the Aharonov-Bohm potential.

16.416281

9.928846

11.00999

9.384724

10.118335

11.519476

9.601348

10.792245

9.287558

11.508512

10.689916

10.371442

11.919577

10.627891

10.71138

10.05043

9.377377

10.974461

9.369068

10.970546

11.085448

hep-th/0503071

Gary T. Horowitz

Thomas Hertog and Gary T. Horowitz

Holographic Description of AdS Cosmologies

34 pages, 8 figures, v2: minor changes, references added

JHEP0504:005,2005

10.1088/1126-6708/2005/04/005

null

hep-th gr-qc

null

To gain insight in the quantum nature of the big bang, we study the dual field theory description of asymptotically anti-de Sitter solutions of supergravity that have cosmological singularities. The dual theories do not appear to have a stable ground state. One regularization of the theory causes the cosmological singularities in the bulk to turn into giant black holes with scalar hair. We interpret these hairy black holes in the dual field theory and use them to compute a finite temperature effective potential. In our study of the field theory evolution, we find no evidence for a "bounce" from a big crunch to a big bang. Instead, it appears that the big bang is a rare fluctuation from a generic equilibrium quantum gravity state.

[ { "created": "Tue, 8 Mar 2005 19:59:20 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2005 02:26:36 GMT", "version": "v2" } ]

2009-11-11

[ [ "Hertog", "Thomas", "" ], [ "Horowitz", "Gary T.", "" ] ]

To gain insight in the quantum nature of the big bang, we study the dual field theory description of asymptotically anti-de Sitter solutions of supergravity that have cosmological singularities. The dual theories do not appear to have a stable ground state. One regularization of the theory causes the cosmological singularities in the bulk to turn into giant black holes with scalar hair. We interpret these hairy black holes in the dual field theory and use them to compute a finite temperature effective potential. In our study of the field theory evolution, we find no evidence for a "bounce" from a big crunch to a big bang. Instead, it appears that the big bang is a rare fluctuation from a generic equilibrium quantum gravity state.

9.544905

8.084498

9.432912

8.517055

8.612852

9.409654

8.15352

8.709809

8.664177

9.613359

8.527509

8.351053

8.402925

8.184212

8.247779

8.328873

8.682982

8.074208

8.341319

8.430121

8.595105

1906.05225

Eran Palti

Dieter Lust, Eran Palti, Cumrun Vafa

AdS and the Swampland

8 pages. v2: fixed typos and added references

null

10.1016/j.physletb.2019.134867

null

hep-th gr-qc

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

We study aspects of anti-de Sitter space in the context of the Swampland. In particular, we conjecture that the near-flat limit of pure AdS belongs to the Swampland, as it is necessarily accompanied by an infinite tower of light states. The mass of the tower is power-law in the cosmological constant, with a power of $\frac{1}{2}$ for the supersymmetric case. We discuss relations between this behaviour and other Swampland conjectures such as the censorship of an unbounded number of massless fields, and the refined de Sitter conjecture. Moreover, we propose that changes to the AdS radius have an interpretation in terms of a generalised distance conjecture which associates a distance to variations of all fields. In this framework, we argue that the distance to the $\Lambda \rightarrow 0$ limit of AdS is infinite, leading to the light tower of states. We also discuss implications of the conjecture for de Sitter space.

[ { "created": "Wed, 12 Jun 2019 15:58:50 GMT", "version": "v1" }, { "created": "Sat, 27 Jul 2019 07:56:03 GMT", "version": "v2" } ]

2019-08-21

[ [ "Lust", "Dieter", "" ], [ "Palti", "Eran", "" ], [ "Vafa", "Cumrun", "" ] ]

We study aspects of anti-de Sitter space in the context of the Swampland. In particular, we conjecture that the near-flat limit of pure AdS belongs to the Swampland, as it is necessarily accompanied by an infinite tower of light states. The mass of the tower is power-law in the cosmological constant, with a power of $\frac{1}{2}$ for the supersymmetric case. We discuss relations between this behaviour and other Swampland conjectures such as the censorship of an unbounded number of massless fields, and the refined de Sitter conjecture. Moreover, we propose that changes to the AdS radius have an interpretation in terms of a generalised distance conjecture which associates a distance to variations of all fields. In this framework, we argue that the distance to the $\Lambda \rightarrow 0$ limit of AdS is infinite, leading to the light tower of states. We also discuss implications of the conjecture for de Sitter space.

6.694563

6.648049

6.94636

6.423317

6.661406

6.56012

6.715906

6.440855

6.56821

7.27512

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6.426759

6.665309

6.492978

6.423203

6.363444

6.347141

6.349566

6.485439

6.970111

6.530779

1701.03644

Mahdi Kord Zangeneh

M. Kord Zangeneh, B. Wang, A. Sheykhi and Z. Y. Tang

Charged scalar quasi-normal modes for linearly charged dilaton-Lifshitz solutions

V2: 11 pages, 2 figures (including subfigures), one table, some references and discussions added

Phys. Lett. B 771 (2017) 257

10.1016/j.physletb.2017.05.050

null

hep-th gr-qc

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

Most available studies of quasi-normal modes for Lifshitz black solutions are limited to the neutral scalar perturbations. In this paper, we investigate the wave dynamics of massive charged scalar perturbation in the background of $(3+1)$-dimensional charged dilaton Lifshitz black branes/holes. We disclose the dependence of the quasi-normal modes on the model parameters, such as the Lifshitz exponent $z$, the mass and charge of the scalar perturbation field and the charge of the Lifshitz configuration. In contrast with neutral perturbations, we observe the possibility to destroy the original Lifshitz background near the extreme value of charge where the temperature is low. We find out that when the Lifshitz exponent deviates more from unity, it is more difficult to break the stability of the configuration. We also study the behavior of the real part of the quasi-normal frequencies. Unlike the neutral scalar perturbation around uncharged black branes where an overdamping was observed to start at $z=2$ and independent of the value of scalar mass, our observation discloses that the overdamping starting point is no longer at $z=2$ and depends on the mass of scalar field for charged Lifshitz black branes. For charged scalar perturbations, fixing $m_s$, the asymptotic value of $\omega_R$ for high $z$ is more away from zero when the charge of scalar perturbation $q_s$ increases. There does not appear the overdamping.

[ { "created": "Fri, 13 Jan 2017 12:34:17 GMT", "version": "v1" }, { "created": "Fri, 2 Jun 2017 00:12:07 GMT", "version": "v2" } ]

2017-06-05

[ [ "Zangeneh", "M. Kord", "" ], [ "Wang", "B.", "" ], [ "Sheykhi", "A.", "" ], [ "Tang", "Z. Y.", "" ] ]

Most available studies of quasi-normal modes for Lifshitz black solutions are limited to the neutral scalar perturbations. In this paper, we investigate the wave dynamics of massive charged scalar perturbation in the background of $(3+1)$-dimensional charged dilaton Lifshitz black branes/holes. We disclose the dependence of the quasi-normal modes on the model parameters, such as the Lifshitz exponent $z$, the mass and charge of the scalar perturbation field and the charge of the Lifshitz configuration. In contrast with neutral perturbations, we observe the possibility to destroy the original Lifshitz background near the extreme value of charge where the temperature is low. We find out that when the Lifshitz exponent deviates more from unity, it is more difficult to break the stability of the configuration. We also study the behavior of the real part of the quasi-normal frequencies. Unlike the neutral scalar perturbation around uncharged black branes where an overdamping was observed to start at $z=2$ and independent of the value of scalar mass, our observation discloses that the overdamping starting point is no longer at $z=2$ and depends on the mass of scalar field for charged Lifshitz black branes. For charged scalar perturbations, fixing $m_s$, the asymptotic value of $\omega_R$ for high $z$ is more away from zero when the charge of scalar perturbation $q_s$ increases. There does not appear the overdamping.

7.329184

7.980515

7.840506

7.245114

7.763489

7.597278

7.809296

7.704873

7.570426

7.420761

7.200168

7.212625

7.105735

7.065234

7.228737

7.274961

7.075041

7.21147

7.222393

7.279751

7.309167

hep-th/0403114

Werner Ruehl

W.Ruehl

Lifting a Conformal Field Theory from D-Dimensional Flat Space to (D+1)-Dimensional Ads Space

Latex file, 19 pages; one section added, 3 references added, typos corrected

Nucl.Phys. B705 (2005) 437-456

10.1016/j.nuclphysb.2004.10.043

KL-TH 04/02

hep-th

null

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain constraints. The structure of operator product expansions is carried over to AdS space. We show that this method yields a higher spin field theory HS(4) from the minimal conformal O(N) sigma model in three dimensions. For these models AdS/CFT correspondence is hereby proved to second order in the coupling constant.

[ { "created": "Wed, 10 Mar 2004 09:43:50 GMT", "version": "v1" }, { "created": "Tue, 30 Mar 2004 07:53:33 GMT", "version": "v2" }, { "created": "Thu, 1 Jul 2004 13:29:06 GMT", "version": "v3" } ]

2009-11-10

[ [ "Ruehl", "W.", "" ] ]

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain constraints. The structure of operator product expansions is carried over to AdS space. We show that this method yields a higher spin field theory HS(4) from the minimal conformal O(N) sigma model in three dimensions. For these models AdS/CFT correspondence is hereby proved to second order in the coupling constant.

10.792559

9.94598

10.757033

9.47575

9.060879

10.435356

10.083303

10.344761

10.154753

10.157259

8.891769

9.288328

10.201277

9.477923

9.842832

9.526678

9.580875

9.674535

9.359561

10.13269

9.110266

hep-th/0311051

Ben Schofield

Steven Abel and Ben Schofield

Brane-Antibrane Kinetic Mixing, Millicharged Particles and SUSY Breaking

20 pages, 8 figures (references added)

Nucl.Phys. B685 (2004) 150-170

10.1016/j.nuclphysb.2004.02.037

IPPP/03/69, DCPT/03/138

hep-th hep-ph

null

It is known that hidden U(1) gauge factors can couple to visible U(1)'s through Kinetic Mixing. This phenomenon is shown generically to occur in nonsupersymmetric string set-ups, between branes and antibranes. Kinetic Mixing acts either to give millicharges (of e.g. hypercharge) to would-be hidden sector fermions, or to generate an enhanced communication of supersymmetry breaking that dominates over the usual gravitational suppression. In either case, the conclusion is that the string scale in nonsupersymmetric brane configurations has a generic upper bound of M_s <~ 10^8 GeV.

[ { "created": "Thu, 6 Nov 2003 16:13:09 GMT", "version": "v1" }, { "created": "Fri, 7 Nov 2003 18:25:10 GMT", "version": "v2" }, { "created": "Tue, 18 Nov 2003 12:28:04 GMT", "version": "v3" } ]

2009-11-10

[ [ "Abel", "Steven", "" ], [ "Schofield", "Ben", "" ] ]

It is known that hidden U(1) gauge factors can couple to visible U(1)'s through Kinetic Mixing. This phenomenon is shown generically to occur in nonsupersymmetric string set-ups, between branes and antibranes. Kinetic Mixing acts either to give millicharges (of e.g. hypercharge) to would-be hidden sector fermions, or to generate an enhanced communication of supersymmetry breaking that dominates over the usual gravitational suppression. In either case, the conclusion is that the string scale in nonsupersymmetric brane configurations has a generic upper bound of M_s <~ 10^8 GeV.

14.319399

14.642682

12.552937

12.724524

12.964949

13.658095

13.432232

14.017941

13.03751

12.884497

14.173008

13.89513

13.541621

12.94044

13.380445

14.666293

13.858132

13.405172

12.490602

13.358601

14.196234

hep-th/0406119

Theodora Ioannidou Dr

Theodora Ioannidou, Burkhard Kleihaus and Wojtek Zakrzewski

An Improved Harmonic Map Ansatz

4 Pages, 4 Figures, More Numerical Simulations and Figures added

Phys.Lett. B597 (2004) 346-351

10.1016/j.physletb.2004.07.033

null

hep-th

null

The rational map ansatz of Houghton et al \cite{HMS} is generalised by allowing the profile function, usually a function of $r$, to depend also on $z$ and $\bar{z}$. It is shown that, within this ansatz, the energies of the lowest $B=2,3,4$ field configurations of the SU(2) Skyrme model are closer to the corresponding values of the true solutions of the model than those obtained within the original rational map ansatz. In particular, we present plots of the profile functions which do exhibit their dependence on $ z$ and $\bar{z}$. The obvious generalisation of the ansatz to higher SU(N) models involving the introduction of more projectors is briefly mentioned.

[ { "created": "Mon, 14 Jun 2004 14:20:52 GMT", "version": "v1" }, { "created": "Mon, 21 Jun 2004 12:46:11 GMT", "version": "v2" } ]

2009-11-10

[ [ "Ioannidou", "Theodora", "" ], [ "Kleihaus", "Burkhard", "" ], [ "Zakrzewski", "Wojtek", "" ] ]

The rational map ansatz of Houghton et al \cite{HMS} is generalised by allowing the profile function, usually a function of $r$, to depend also on $z$ and $\bar{z}$. It is shown that, within this ansatz, the energies of the lowest $B=2,3,4$ field configurations of the SU(2) Skyrme model are closer to the corresponding values of the true solutions of the model than those obtained within the original rational map ansatz. In particular, we present plots of the profile functions which do exhibit their dependence on $ z$ and $\bar{z}$. The obvious generalisation of the ansatz to higher SU(N) models involving the introduction of more projectors is briefly mentioned.

8.47295

7.477308

8.361579

7.034004

7.605736

7.39011

7.893372

7.488953

7.200966

7.794558

7.978393

7.439964

7.753274

7.293246

7.288315

7.312439

7.351118

7.416885

7.197385

7.707776

7.958712

hep-th/0311100

George Tsoupros

Conformal Anomalies for Interacting Scalar Fields on Curved Manifolds with Boundary

36 pages, 1 figure. Contains an additional section on Quntum Cosmology. To appear in International Journal of Modern Physics A

Int.J.Mod.Phys. A20 (2005) 1027-1064

10.1142/S0217751X05020884

null

hep-th gr-qc

null

The trace anomaly for a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary is considered. In the context of a perturbative evaluation of the theory's effective action explicit calculations are given for those contributions to the conformal anomaly which emerge as a result of free scalar propagation as well as from scalar self-interactions up to second order in the scalar self-coupling. The renormalisation-group behaviour of the theory is, subsequently, exploited in order to advance the evaluation of the conformal anomaly to third order in the scalar self-coupling. In effect, complete contributions to the theory's conformal anomaly are evaluated up to fourth-loop order.

[ { "created": "Wed, 12 Nov 2003 01:17:39 GMT", "version": "v1" }, { "created": "Sun, 16 Nov 2003 18:16:18 GMT", "version": "v2" }, { "created": "Thu, 15 Jan 2004 17:33:05 GMT", "version": "v3" }, { "created": "Mon, 22 Mar 2004 17:11:52 GMT", "version": "v4" }, { "created": "Fri, 22 Oct 2004 06:21:05 GMT", "version": "v5" } ]

2009-11-10

[ [ "Tsoupros", "George", "" ] ]

The trace anomaly for a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary is considered. In the context of a perturbative evaluation of the theory's effective action explicit calculations are given for those contributions to the conformal anomaly which emerge as a result of free scalar propagation as well as from scalar self-interactions up to second order in the scalar self-coupling. The renormalisation-group behaviour of the theory is, subsequently, exploited in order to advance the evaluation of the conformal anomaly to third order in the scalar self-coupling. In effect, complete contributions to the theory's conformal anomaly are evaluated up to fourth-loop order.

8.979675

7.685174

9.021587

7.952551

7.653402

7.84013

8.423837

8.079074

8.272458

9.139984

8.474476

8.208741

8.719309

8.191662

8.106936

8.088356

7.984612

8.197795

8.05654

8.779988

8.103597

1106.4045

Geoffrey Comp\`ere

Geoffrey Comp\`ere, Fran\c{c}ois Dehouck

Relaxing the Parity Conditions of Asymptotically Flat Gravity

Four equations corrected. Two references added

null

10.1088/0264-9381/28/24/245016

null

hep-th gr-qc

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

Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational principle when it is supplemented by an anomalous counter-term which breaks asymptotic translation, supertranslation and logarithmic translation invariance. Poincar\'e transformations as well as supertranslations and logarithmic translations are associated with finite and conserved charges which represent the asymptotic symmetry group. Lorentz charges as well as logarithmic translations transform anomalously under a change of regulator. Lorentz charges are generally non-linear functionals of the asymptotic fields but reduce to well-known linear expressions when parity conditions hold. We also define a covariant phase space of asymptotically flat spacetimes with parity conditions but without restrictions on the Weyl tensor. In this phase space, the anomaly plays classically no dynamical role. Supertranslations are pure gauge and the asymptotic symmetry group is the expected Poincar\'e group.

[ { "created": "Mon, 20 Jun 2011 21:01:41 GMT", "version": "v1" }, { "created": "Wed, 9 Nov 2011 14:01:30 GMT", "version": "v2" }, { "created": "Fri, 7 Dec 2012 11:34:27 GMT", "version": "v3" } ]

2015-05-28

[ [ "Compère", "Geoffrey", "" ], [ "Dehouck", "François", "" ] ]

Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational principle when it is supplemented by an anomalous counter-term which breaks asymptotic translation, supertranslation and logarithmic translation invariance. Poincar\'e transformations as well as supertranslations and logarithmic translations are associated with finite and conserved charges which represent the asymptotic symmetry group. Lorentz charges as well as logarithmic translations transform anomalously under a change of regulator. Lorentz charges are generally non-linear functionals of the asymptotic fields but reduce to well-known linear expressions when parity conditions hold. We also define a covariant phase space of asymptotically flat spacetimes with parity conditions but without restrictions on the Weyl tensor. In this phase space, the anomaly plays classically no dynamical role. Supertranslations are pure gauge and the asymptotic symmetry group is the expected Poincar\'e group.

7.782954

8.4231

7.97446

7.425162

8.427294

8.664537

8.636141

7.210979

7.717763

8.941025

7.862825

7.543314

7.660634

7.68335

7.599213

7.566773

7.855002

7.38855

7.639677

8.035117

7.412383

2212.09827

Osvaldo Pablo Santillan

Fernando Chamizo and Osvaldo Santill\'an

Current induction and macroscopic forces for superconducting strings

26 pages, no figures

null

10.1103/PhysRevD.107.075015

null

hep-th gr-qc

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

Vortons are extended superconducting rings, which hypothetically may play a role in cosmology and even may have significance in connection with cosmic rays of high energy. Some of these objects are able to confine fermions which consequently become massless in the core of the object \cite{witten}, \cite{vorton3}. These fermions travel at light speed in the core and may generate a large current without dissipation. This raises interest about the generation mechanisms for these currents inside the defect. This question is analyzed here by studying the inverse photoelectric effect for these objects namely, the absorption of a fermion with the consequent emission of a photon or a massive boson by the extended defect. Another motivation for the present work is that there exists a discussion in condensed matter about the role of the bound spectrum in the macroscopic Magnus force that the vortex experiences in certain type of superfluids or superconductors. The discussion is about wether the main force comes from scattering of these fermions by the object or by the effect of the environment on the bound states in the object, which may induce a spectral flow leading to an effective macroscopic force \cite{pelea1}, \cite{pelea2}, \cite{pelea3}. Without claiming that the results described here are conclusive in the context of condensed matter, this work presents a comparison between these two effects for vortons interacting with a plasma of fermions.

[ { "created": "Mon, 19 Dec 2022 19:57:02 GMT", "version": "v1" } ]

2023-04-26

[ [ "Chamizo", "Fernando", "" ], [ "Santillán", "Osvaldo", "" ] ]

Vortons are extended superconducting rings, which hypothetically may play a role in cosmology and even may have significance in connection with cosmic rays of high energy. Some of these objects are able to confine fermions which consequently become massless in the core of the object \cite{witten}, \cite{vorton3}. These fermions travel at light speed in the core and may generate a large current without dissipation. This raises interest about the generation mechanisms for these currents inside the defect. This question is analyzed here by studying the inverse photoelectric effect for these objects namely, the absorption of a fermion with the consequent emission of a photon or a massive boson by the extended defect. Another motivation for the present work is that there exists a discussion in condensed matter about the role of the bound spectrum in the macroscopic Magnus force that the vortex experiences in certain type of superfluids or superconductors. The discussion is about wether the main force comes from scattering of these fermions by the object or by the effect of the environment on the bound states in the object, which may induce a spectral flow leading to an effective macroscopic force \cite{pelea1}, \cite{pelea2}, \cite{pelea3}. Without claiming that the results described here are conclusive in the context of condensed matter, this work presents a comparison between these two effects for vortons interacting with a plasma of fermions.

12.713211

13.204726

12.852568

12.356522

13.920082

12.834663

13.3099

12.341489

12.752172

14.003761

13.060529

12.143375

12.008077

11.985692

11.97995

12.424286

12.301404

12.115642

12.064227

12.336254

12.609206

0908.0413

Subir Ghosh

Sudipta Das (I.S.I., India), Subir Ghosh (I.S.I., India), Dibakar Roychowdhury (N.B.U., India)

Relativistic Thermodynamics with an Invariant Energy Scale

14 pages, Latex, No figures, minor corrections, two new references added, to appear in PRD

Phys.Rev.D80:125036,2009

10.1103/PhysRevD.80.125036

null

hep-th gr-qc quant-ph

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

A particular framework for Quantum Gravity is the Doubly Special Relativity (DSR) formalism that introduces a new observer independent scale, the Planck energy. Our aim in this paper is to study the effects of this energy upper bound in relativistic thermodynamics. We have explicitly computed the modified equation of state for an ideal fluid in the DSR framework. In deriving our result we exploited the scheme of treating DSR as a non-linear representation of the Lorentz group in Special Relativity.

[ { "created": "Tue, 4 Aug 2009 09:06:54 GMT", "version": "v1" }, { "created": "Mon, 10 Aug 2009 11:41:58 GMT", "version": "v2" }, { "created": "Wed, 9 Dec 2009 06:03:27 GMT", "version": "v3" } ]

2010-01-07

[ [ "Das", "Sudipta", "", "I.S.I., India" ], [ "Ghosh", "Subir", "", "I.S.I., India" ], [ "Roychowdhury", "Dibakar", "", "N.B.U., India" ] ]

A particular framework for Quantum Gravity is the Doubly Special Relativity (DSR) formalism that introduces a new observer independent scale, the Planck energy. Our aim in this paper is to study the effects of this energy upper bound in relativistic thermodynamics. We have explicitly computed the modified equation of state for an ideal fluid in the DSR framework. In deriving our result we exploited the scheme of treating DSR as a non-linear representation of the Lorentz group in Special Relativity.

9.146262

8.125125

8.113758

7.651085

8.086349

8.14218

8.342122

7.649559

8.219561

8.455125

8.275885

8.319434

8.389033

8.342029

8.101317

8.461437

8.597335

8.054188

8.461611

8.277983

8.389157

1703.00982

Davide Gaiotto

Davide Gaiotto, Miroslav Rap\v{c}\'ak

Vertex Algebras at the Corner

102 pages, 22 figures. v2: corrected minor typos and updated references

null

hep-th

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

We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in ${\cal N}=4$ Super Yang Mills gauge theory. These vertex algebras satisfy non-trivial duality relations inherited from S-duality of the four-dimensional gauge theory. The gauge theory construction equips the vertex algebras with collections of modules labelled by supersymmetric interface line defects. We discuss in detail the simplest class of algebras $Y_{L,M,N}$, which generalizes $W_N$ algebras. We uncover tantalizing relations between $Y_{L,M,N}$, the topological vertex and the $W_{1+\infty}$ algebra.

[ { "created": "Thu, 2 Mar 2017 23:04:09 GMT", "version": "v1" }, { "created": "Wed, 19 Sep 2018 18:12:58 GMT", "version": "v2" } ]

2018-09-21

[ [ "Gaiotto", "Davide", "" ], [ "Rapčák", "Miroslav", "" ] ]

We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in ${\cal N}=4$ Super Yang Mills gauge theory. These vertex algebras satisfy non-trivial duality relations inherited from S-duality of the four-dimensional gauge theory. The gauge theory construction equips the vertex algebras with collections of modules labelled by supersymmetric interface line defects. We discuss in detail the simplest class of algebras $Y_{L,M,N}$, which generalizes $W_N$ algebras. We uncover tantalizing relations between $Y_{L,M,N}$, the topological vertex and the $W_{1+\infty}$ algebra.

7.555292

7.100102

8.275916

6.706953

7.328426

6.693119

7.501208

6.7259

6.784772

9.311566

7.299642

7.164508

7.809031

6.959993

7.331934

7.01147

7.130982

7.136511

7.310676

8.19359

7.051086

hep-th/9605082

null

H. Lu, C.N. Pope and K.S. Stelle

Vertical versus Diagonal Dimensional Reduction for p-branes

Latex, 21 pages, no figures. References added

Nucl.Phys.B481:313-331,1996

10.1016/S0550-3213(96)90137-6

CTP-TAMU-18/96, Imperial/TP/95-96/36

hep-th

null

In addition to the double-dimensional reduction procedure that employs world-volume Killing symmetries of $p$-brane supergravity solutions and acts diagonally on a plot of $p$ versus spacetime dimension $D$, there exists a second procedure of ``vertical'' reduction. This reduces the transverse-space dimension via an integral that superposes solutions to the underlying Laplace equation. We show that vertical reduction is also closely related to the recently-introduced notion of intersecting $p$-branes. We illustrate this with examples, and also construct a new $D=11$ solution describing four intersecting membranes, which preserves $1/16$ of the supersymmetry. Given the two reduction schemes plus duality transformations at special points of the scalar modulus space, one may relate most of the $p$-brane solutions of relevance to superstring theory. We argue that the maximum classifying duality symmetry for this purpose is the Weyl group of the corresponding Cremmer-Julia supergravity symmetry $E_{r(+r)}$. We also discuss a separate class of duality-invariant $p$-branes with $p=D-3$.

[ { "created": "Mon, 13 May 1996 03:08:10 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 1996 19:36:14 GMT", "version": "v2" } ]

2009-10-07

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

In addition to the double-dimensional reduction procedure that employs world-volume Killing symmetries of $p$-brane supergravity solutions and acts diagonally on a plot of $p$ versus spacetime dimension $D$, there exists a second procedure of ``vertical'' reduction. This reduces the transverse-space dimension via an integral that superposes solutions to the underlying Laplace equation. We show that vertical reduction is also closely related to the recently-introduced notion of intersecting $p$-branes. We illustrate this with examples, and also construct a new $D=11$ solution describing four intersecting membranes, which preserves $1/16$ of the supersymmetry. Given the two reduction schemes plus duality transformations at special points of the scalar modulus space, one may relate most of the $p$-brane solutions of relevance to superstring theory. We argue that the maximum classifying duality symmetry for this purpose is the Weyl group of the corresponding Cremmer-Julia supergravity symmetry $E_{r(+r)}$. We also discuss a separate class of duality-invariant $p$-branes with $p=D-3$.

12.54935

13.022068

13.024135

11.705928

12.5044

12.274935

12.260954

11.779501

12.364099

14.271614

11.973667

11.932763

12.058364

11.551229

12.230073

11.780044

11.943127

11.97346

11.60557

12.502159

11.448682

hep-th/9308114

null

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

Higher-spin strings and W minimal models

13 pages, CTP TAMU-43/93, KUL-TF-93/94

Class.Quant.Grav.11:119-130,1994

10.1088/0264-9381/11/1/014

null

hep-th

null

We study the spectrum of physical states for higher-spin generalisations of string theory, based on two-dimensional theories with local spin-2 and spin-$s$ symmetries. We explore the relation of the resulting effective Virasoro string theories to certain $W$ minimal models. In particular, we show how the highest-weight states of the $W$ minimal models decompose into Virasoro primaries.

[ { "created": "Tue, 24 Aug 1993 22:43:01 GMT", "version": "v1" } ]

2010-04-06

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

We study the spectrum of physical states for higher-spin generalisations of string theory, based on two-dimensional theories with local spin-2 and spin-$s$ symmetries. We explore the relation of the resulting effective Virasoro string theories to certain $W$ minimal models. In particular, we show how the highest-weight states of the $W$ minimal models decompose into Virasoro primaries.

11.366246

9.647127

12.080841

9.905327

11.210197

10.301161

10.373828

9.4535

9.630669

11.688716

9.418165

9.407029

10.1205

9.534357

9.986979

9.809078

10.064418

9.815752

9.846766

10.294212

9.835917

2005.09662

Andrea Amoretti

Andrea Amoretti, Daniel K. Brattan, Nicodemo Magnoli, Marcello Scanavino

Magneto-thermal transport implies an incoherent Hall conductivity

27 pages, 5 figures; v3: introduction and conclusions clarified, version to appear in JHEP

JHEP 08 (2020) 097

10.1007/JHEP08(2020)097

null

hep-th cond-mat.str-el

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

We consider magnetohydrodynamics with an external magnetic field. We find that in general one must allow for a non-zero incoherent Hall conductivity to correctly describe the DC longitudinal and Hall thermal conductivities beyond order zero in the magnetic field expansion. We apply our result to the dyonic black hole, determining the incoherent Hall conductivity in that case, and additionally prove that the existence of this transport coefficient leads to a significantly better match between the hydrodynamic and AC thermo-electric correlators.

[ { "created": "Tue, 19 May 2020 18:00:02 GMT", "version": "v1" }, { "created": "Wed, 27 May 2020 16:35:36 GMT", "version": "v2" }, { "created": "Mon, 27 Jul 2020 07:43:58 GMT", "version": "v3" } ]

2020-09-08

[ [ "Amoretti", "Andrea", "" ], [ "Brattan", "Daniel K.", "" ], [ "Magnoli", "Nicodemo", "" ], [ "Scanavino", "Marcello", "" ] ]

We consider magnetohydrodynamics with an external magnetic field. We find that in general one must allow for a non-zero incoherent Hall conductivity to correctly describe the DC longitudinal and Hall thermal conductivities beyond order zero in the magnetic field expansion. We apply our result to the dyonic black hole, determining the incoherent Hall conductivity in that case, and additionally prove that the existence of this transport coefficient leads to a significantly better match between the hydrodynamic and AC thermo-electric correlators.

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hep-th/9904113

Koushik Ray

Koushik Ray (Univ. Roma2, Rome, Italy)

Candidates for anti-de Sitter Horizons

16 pages, LATEX2e. Uses times, eepic, amsmath and amssymb

JHEP 9906:008,1999

10.1088/1126-6708/1999/06/008

ROM2F/99/14

hep-th

null

We find, from the toric description of the moduli space of D3-branes on non-compact six-dimensional singularities $\C^3/\Z_3$ and $\C^3/\Z_5$ in the blown-down limit, the four-dimensional bases on which these singular spaces are complex cones, and prove the existence of K\"ahler-Einstein metrics on these four-dimensional bases. This shows, in particular, that one can use the horizons obtained from these base spaces by a U(1)-foliation as compact parts of the target space for Type-IIB string theory with $\ads{5}$ in the context of the AdS-CFT correspondence.

[ { "created": "Thu, 15 Apr 1999 15:33:16 GMT", "version": "v1" } ]

2010-02-03

[ [ "Ray", "Koushik", "", "Univ. Roma2, Rome, Italy" ] ]

We find, from the toric description of the moduli space of D3-branes on non-compact six-dimensional singularities $\C^3/\Z_3$ and $\C^3/\Z_5$ in the blown-down limit, the four-dimensional bases on which these singular spaces are complex cones, and prove the existence of K\"ahler-Einstein metrics on these four-dimensional bases. This shows, in particular, that one can use the horizons obtained from these base spaces by a U(1)-foliation as compact parts of the target space for Type-IIB string theory with $\ads{5}$ in the context of the AdS-CFT correspondence.

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10.089736