LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0108184

Stefan Groot Nibbelink

D.M. Ghilencea, S. Groot Nibbelink, H.P. Nilles

Gauge corrections and FI-term in 5D KK theories

11 pages, LaTeX, 2 figures

Nucl.Phys.B619:385-395,2001

10.1016/S0550-3213(01)00496-5

BONN-TH-34-01

hep-th hep-ph

null

In the context of a five dimensional N=1 Kaluza Klein model compactified on S_1/Z_2 x Z_2' we compute the one-loop gauge corrections to the self energy of the (zero-mode) scalar field. The result is quadratically divergent due to the appearance of a Fayet-Iliopoulos term.

[ { "created": "Fri, 24 Aug 2001 13:08:40 GMT", "version": "v1" } ]

2010-11-19

[ [ "Ghilencea", "D. M.", "" ], [ "Nibbelink", "S. Groot", "" ], [ "Nilles", "H. P.", "" ] ]

In the context of a five dimensional N=1 Kaluza Klein model compactified on S_1/Z_2 x Z_2' we compute the one-loop gauge corrections to the self energy of the (zero-mode) scalar field. The result is quadratically divergent due to the appearance of a Fayet-Iliopoulos term.

9.474471

6.794252

6.399839

6.521685

7.343607

7.712412

7.380014

7.11464

6.547575

6.127922

7.172682

6.88919

6.81821

6.843126

6.976385

7.335929

6.875063

7.143851

6.899968

6.664225

7.30888

hep-th/0511156

Gerald V. Dunne

Gerald V. Dunne and Hyunsoo Min

Beyond the thin-wall approximation : precise numerical computation of prefactors in false vacuum decay

28 pages, 8 figures

Phys.Rev. D72 (2005) 125004

10.1103/PhysRevD.72.125004

null

hep-th

null

We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a self-interacting scalar field theory modeling the process of nucleation in four dimensional spacetime. This technique does not rely on the thin-wall approximation. The method is based on the Gelfand-Yaglom approach to determinants of differential operators, suitably extended to higher dimensions using angular momentum cutoff regularization. A related approach has been discussed recently by Baacke and Lavrelashvili, but we implement the regularization and renormalization in a different manner, and compare directly with analytic computations made in the thin-wall approximation. We also derive a simple new formula for the zero mode contribution to the fluctuation prefactor, expressed entirely in terms of the asymptotic behavior of the classical bounce solution.

[ { "created": "Tue, 15 Nov 2005 21:56:32 GMT", "version": "v1" } ]

2009-11-11

[ [ "Dunne", "Gerald V.", "" ], [ "Min", "Hyunsoo", "" ] ]

We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a self-interacting scalar field theory modeling the process of nucleation in four dimensional spacetime. This technique does not rely on the thin-wall approximation. The method is based on the Gelfand-Yaglom approach to determinants of differential operators, suitably extended to higher dimensions using angular momentum cutoff regularization. A related approach has been discussed recently by Baacke and Lavrelashvili, but we implement the regularization and renormalization in a different manner, and compare directly with analytic computations made in the thin-wall approximation. We also derive a simple new formula for the zero mode contribution to the fluctuation prefactor, expressed entirely in terms of the asymptotic behavior of the classical bounce solution.

8.156363

8.151201

8.307782

7.527854

7.992811

8.088498

8.473013

7.870316

8.04341

9.567298

7.898498

8.022684

8.438354

7.796197

8.040964

8.131107

7.74946

7.837065

8.087351

8.303604

7.683608

hep-th/0505172

Michele Redi

Jose J. Blanco-Pillado, Gia Dvali and Michele Redi

Cosmic D-strings as Axionic D-term Strings

26 pages, 4 figures; v2 Refs. added; v3 minor changes, version to appear in PRD

Phys.Rev. D72 (2005) 105002

10.1103/PhysRevD.72.105002

null

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

null

In this work we derive non-singular BPS string solutions from an action that captures the essential features of a D-brane-anti-D-brane system compactified to four dimensions. The model we consider is a supersymmetric abelian Higgs model with a D-term potential coupled to an axion-dilaton multiplet. The strings in question are axionic D-term strings which we identify with the D-strings of type II string theory. In this picture the Higgs field represents the open string tachyon of the D-Dbar pair and the axion is dual to a Ramond Ramond form. The crucial term allowing the existence of non-singular BPS strings is the Fayet-Iliopoulos term, which is related to the tensions of the D-string and of the parent branes. Despite the presence of the axion, the strings are BPS and carry finite energy, due to the fact that the space gets very slowly decompactified away from the core, screening the long range axion field (or equivalently the theory approaches an infinitely weak 4D coupling). Within our 4D effective action we also identify another class of BPS string solutions (s-strings) which have no ten dimensional analog, and can only exist after compactification.

[ { "created": "Thu, 19 May 2005 18:29:29 GMT", "version": "v1" }, { "created": "Tue, 31 May 2005 21:04:35 GMT", "version": "v2" }, { "created": "Fri, 28 Oct 2005 17:47:04 GMT", "version": "v3" } ]

2009-11-11

[ [ "Blanco-Pillado", "Jose J.", "" ], [ "Dvali", "Gia", "" ], [ "Redi", "Michele", "" ] ]

In this work we derive non-singular BPS string solutions from an action that captures the essential features of a D-brane-anti-D-brane system compactified to four dimensions. The model we consider is a supersymmetric abelian Higgs model with a D-term potential coupled to an axion-dilaton multiplet. The strings in question are axionic D-term strings which we identify with the D-strings of type II string theory. In this picture the Higgs field represents the open string tachyon of the D-Dbar pair and the axion is dual to a Ramond Ramond form. The crucial term allowing the existence of non-singular BPS strings is the Fayet-Iliopoulos term, which is related to the tensions of the D-string and of the parent branes. Despite the presence of the axion, the strings are BPS and carry finite energy, due to the fact that the space gets very slowly decompactified away from the core, screening the long range axion field (or equivalently the theory approaches an infinitely weak 4D coupling). Within our 4D effective action we also identify another class of BPS string solutions (s-strings) which have no ten dimensional analog, and can only exist after compactification.

8.70398

8.563833

9.173557

8.145705

9.062093

8.437672

8.773764

8.71096

8.124024

9.480568

7.909427

8.195875

8.653353

8.421118

8.264026

8.262792

8.286123

8.208808

8.419397

8.494646

8.424385

2012.13412

Julio Alberto M\'endez

Alfredo Herrera-Aguilar, Daniel F. Higuita-Borja, Julio A. M\'endez-Zavaleta

Scalarization-like mechanism through spacetime anisotropic scaling symmetry

22 pages, 3 figures, Journal version

Phys. Rev. D 103, no.12, 124025 (2021)

10.1103/PhysRevD.103.124025

null

hep-th gr-qc

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

We present a new family of exact black hole configurations, which is a solution to a generalized Einstein-Maxwell-Dilaton setup in arbitrary dimension. These solutions are asymptotically Lifshitz for any dynamical critical exponent $z\geq 1$. It turns out that the existence of a nontrivial scalar field is a direct consequence of breaking the spacetime isotropic scaling symmetry. This black hole family accepts various interesting limits that link it to well-known solutions in both the isotropic and anisotropic cases. We study the thermodynamics of these field configurations showing that the first law is satisfied and providing the corresponding Smarr formula, both of these relations account for an electric contribution. Furthermore, we show that for a certain parameter region, the anisotropic field configuration with a nonzero scalar field is thermodynamically preferred. This observation, together with a direct verification of the so-called scalarization conditions, suggest that the emergence of the dilaton field is due to a mechanism similar to spontaneous scalarization.

[ { "created": "Thu, 24 Dec 2020 19:00:02 GMT", "version": "v1" }, { "created": "Thu, 17 Jun 2021 12:58:34 GMT", "version": "v2" } ]

2021-06-18

[ [ "Herrera-Aguilar", "Alfredo", "" ], [ "Higuita-Borja", "Daniel F.", "" ], [ "Méndez-Zavaleta", "Julio A.", "" ] ]

We present a new family of exact black hole configurations, which is a solution to a generalized Einstein-Maxwell-Dilaton setup in arbitrary dimension. These solutions are asymptotically Lifshitz for any dynamical critical exponent $z\geq 1$. It turns out that the existence of a nontrivial scalar field is a direct consequence of breaking the spacetime isotropic scaling symmetry. This black hole family accepts various interesting limits that link it to well-known solutions in both the isotropic and anisotropic cases. We study the thermodynamics of these field configurations showing that the first law is satisfied and providing the corresponding Smarr formula, both of these relations account for an electric contribution. Furthermore, we show that for a certain parameter region, the anisotropic field configuration with a nonzero scalar field is thermodynamically preferred. This observation, together with a direct verification of the so-called scalarization conditions, suggest that the emergence of the dilaton field is due to a mechanism similar to spontaneous scalarization.

9.22169

8.378633

8.600458

8.24466

8.796921

8.303749

8.643841

7.597354

8.152198

9.421192

8.314237

8.393874

8.41496

8.312739

8.498013

8.356391

8.234064

8.264333

8.480557

8.439883

8.472211

hep-th/0406056

Andrei Marshakov

A.Marshakov

Quasiclassical Geometry and Integrability of AdS/CFT Correspondence

Based on talks at the conferences "Classical and quantum integrable systems", January 2004, Dubna, and "Quarks-2004", May 2004, Pushkinskie Gory, Russia; LaTeX, 17 pp, 3 figures; references added

Theor.Math.Phys. 142 (2005) 222-236; Teor.Mat.Fiz. 142 (2005) 265-283

10.1007/s11232-005-0006-0

FIAN/TD-05/04, ITEP/TH-20/04

hep-th

null

We discuss the quasiclassical geometry and integrable systems related to the gauge/string duality. The analysis of quasiclassical solutions to the Bethe anzatz equations arising in the context of the AdS/CFT correspondence is performed, compare to stationary phase equations for the matrix integrals. We demonstrate how the underlying geometry is related to the integrable sigma-models of dual string theory, and investigate some details of this correspondence.

[ { "created": "Sun, 6 Jun 2004 08:53:39 GMT", "version": "v1" }, { "created": "Fri, 18 Jun 2004 09:42:18 GMT", "version": "v2" }, { "created": "Fri, 19 Nov 2004 14:36:29 GMT", "version": "v3" } ]

2015-06-26

[ [ "Marshakov", "A.", "" ] ]

We discuss the quasiclassical geometry and integrable systems related to the gauge/string duality. The analysis of quasiclassical solutions to the Bethe anzatz equations arising in the context of the AdS/CFT correspondence is performed, compare to stationary phase equations for the matrix integrals. We demonstrate how the underlying geometry is related to the integrable sigma-models of dual string theory, and investigate some details of this correspondence.

12.452788

12.082258

13.753263

11.521612

11.414943

12.342819

10.989203

11.504015

12.491742

13.730872

11.209468

11.752179

12.976883

11.669235

12.642729

11.323383

12.425192

11.76006

12.03221

12.812922

11.702337

2209.15443

Sven Krippendorf

Sven Krippendorf, Valent\'i Vall Camell

Towards structures in the flux landscape at large number of moduli

22 pages, 8 figures

null

hep-th hep-ph

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

Sampling string flux vacua enables us to study structures in the string landscape. Here we demonstrate that sampling at large number of moduli is possible for the simplified landscape model of ADK. Using dimensional reduction, we identify analytic structures in these samples. In this example, we find that these structures are rather insensitive to the underlying distribution of UV parameters but they emerge only at large number of moduli and they can be attributed to sampling bias.

[ { "created": "Fri, 30 Sep 2022 12:48:46 GMT", "version": "v1" } ]

2022-10-03

[ [ "Krippendorf", "Sven", "" ], [ "Camell", "Valentí Vall", "" ] ]

Sampling string flux vacua enables us to study structures in the string landscape. Here we demonstrate that sampling at large number of moduli is possible for the simplified landscape model of ADK. Using dimensional reduction, we identify analytic structures in these samples. In this example, we find that these structures are rather insensitive to the underlying distribution of UV parameters but they emerge only at large number of moduli and they can be attributed to sampling bias.

26.60685

28.823961

27.743979

23.625959

24.551098

27.915621

26.367279

25.719484

24.561632

27.500462

23.032927

23.216608

22.045303

21.442089

22.629187

22.097874

22.179228

21.541353

21.610634

23.377876

25.574707

2103.08584

Nikhil Kalyanapuram

On Chiral Splitting and the Ambitwistor String

v2: 14 pages, references updated

Phys. Rev. D 104, 086027 (2021)

10.1103/PhysRevD.104.086027

null

hep-th math-ph math.AG math.DG math.MP

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

Scattering amplitudes computed by superstring perturbation theory are known to holomorphically split into chiral half integrands at fixed internal loop momentum. It is established by direct computation that upon reduction to the ordinary moduli space, the chiral half integrands of the superstring match those computed by the ambitwistor string in the limit of zero tension ($\alpha'\rightarrow\infty$). Subtleties that arise at higher genus due to the nonprojectedness of the supermoduli space are considered and arguments as to their resolution are furnished.

[ { "created": "Mon, 15 Mar 2021 17:51:23 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 13:11:25 GMT", "version": "v2" } ]

2021-10-26

[ [ "Kalyanapuram", "Nikhil", "" ] ]

Scattering amplitudes computed by superstring perturbation theory are known to holomorphically split into chiral half integrands at fixed internal loop momentum. It is established by direct computation that upon reduction to the ordinary moduli space, the chiral half integrands of the superstring match those computed by the ambitwistor string in the limit of zero tension ($\alpha'\rightarrow\infty$). Subtleties that arise at higher genus due to the nonprojectedness of the supermoduli space are considered and arguments as to their resolution are furnished.

10.141999

9.501374

12.637892

10.410518

11.653057

10.644404

11.519119

10.856137

9.283719

13.744043

10.078698

9.840142

10.714684

9.956175

10.316424

10.48022

9.908757

10.235155

9.777919

10.619814

10.037756

2106.09194

Caio Luiz Tiedt

RG Flows and Dynamical Systems

Dissertation Thesis submitted in 21 offebruary of 2019. First available at https://teses.usp.br/teses/disponiveis/43/43134/tde-18032019-151627/en.php

Master's Dissertation, Instituto de F\'isica, University of S\~ao Paulo, S\~ao Paulo. (2019)

10.11606/D.43.2019.tde-18032019-151627

null

hep-th math-ph math.MP

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

In the context of Wilsonian Renormalization, renormalization group (RG) flows are a set of differential equations that defines how the coupling constants of a theory depend on an energy scale. These equations closely resemble thermodynamical equations and how thermodynamical systems are related to temperature. In this sense, it is natural to look for structures in the flows that show a thermodynamics-like behaviour. The mathematical theory to study these equations is called Dynamical Systems, and applications of that have been used to study RG flows. For example, the classical Zamolodchikov's C-Theorem and its higher-dimensional counterparts, that show that there is a monotonically decreasing function along the flow and it is a property that resembles the second-law of thermodynamics, is related to the Lyapunov function in the context of Dynamical Systems. It can be used to rule out exotic asymptotic behaviours like periodic flows (also known as limit cycles). We also study bifurcation theory and index theories, which have been proposed to be useful in the study of RG flows, the former can be used to explain couplings crossing through marginality and the latter to extract global information about the space the flows lives in. In this dissertation, we also look for applications in holographic RG flows and we try to see if the structural behaviours in holographic theories are the same as the ones in the dual field theory side.

[ { "created": "Thu, 17 Jun 2021 01:03:05 GMT", "version": "v1" } ]

2021-06-18

[ [ "Tiedt", "Caio Luiz", "" ] ]

In the context of Wilsonian Renormalization, renormalization group (RG) flows are a set of differential equations that defines how the coupling constants of a theory depend on an energy scale. These equations closely resemble thermodynamical equations and how thermodynamical systems are related to temperature. In this sense, it is natural to look for structures in the flows that show a thermodynamics-like behaviour. The mathematical theory to study these equations is called Dynamical Systems, and applications of that have been used to study RG flows. For example, the classical Zamolodchikov's C-Theorem and its higher-dimensional counterparts, that show that there is a monotonically decreasing function along the flow and it is a property that resembles the second-law of thermodynamics, is related to the Lyapunov function in the context of Dynamical Systems. It can be used to rule out exotic asymptotic behaviours like periodic flows (also known as limit cycles). We also study bifurcation theory and index theories, which have been proposed to be useful in the study of RG flows, the former can be used to explain couplings crossing through marginality and the latter to extract global information about the space the flows lives in. In this dissertation, we also look for applications in holographic RG flows and we try to see if the structural behaviours in holographic theories are the same as the ones in the dual field theory side.

9.72577

10.358317

10.243646

9.24374

9.964779

9.748765

9.968067

10.020382

9.11631

10.553167

9.487899

9.056992

9.75766

9.305382

9.236786

9.151873

9.076416

9.044282

9.1637

9.816098

9.034814

1007.4999

Carlos Mafra

Carlos R. Mafra

PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions

16 pages, harvmac

null

AEI 2010-127

hep-th

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

A FORM program which is used to efficiently expand in components pure spinor superfield expressions of kinematic factors is presented and comments on how it works are made. It is highly customizable using the standard features of FORM and can be used to help obtaining superstring effective actions from the scattering amplitudes computed with the pure spinor formalism.

[ { "created": "Wed, 28 Jul 2010 14:59:16 GMT", "version": "v1" } ]

2010-07-29

[ [ "Mafra", "Carlos R.", "" ] ]

A FORM program which is used to efficiently expand in components pure spinor superfield expressions of kinematic factors is presented and comments on how it works are made. It is highly customizable using the standard features of FORM and can be used to help obtaining superstring effective actions from the scattering amplitudes computed with the pure spinor formalism.

25.063417

20.058079

18.82406

16.555965

19.202662

18.628868

20.037348

19.962805

17.520441

21.636379

17.808683

17.564989

19.818274

16.946341

16.928925

17.668716

17.704277

16.383867

17.356594

18.686581

17.361866

hep-th/9512068

Jan Willem van Holten

J.W. van Holten

Fermions and world-line supersymmetry

Contr. Proc. Buckow Symposium (1995); latex, 12 pages

Nucl.Phys.Proc.Suppl. 49 (1996) 319-325

10.1016/0920-5632(96)00351-9

NIKHEF/95-067

hep-th

null

The world-line path-integral representation of fermion propagators is discussed. Particular attention is paid to the representation of $\gamma_5$, which is connected to the realization of manifest world-line supersymmetry.

[ { "created": "Mon, 11 Dec 1995 13:49:11 GMT", "version": "v1" } ]

2009-10-28

[ [ "van Holten", "J. W.", "" ] ]

The world-line path-integral representation of fermion propagators is discussed. Particular attention is paid to the representation of $\gamma_5$, which is connected to the realization of manifest world-line supersymmetry.

11.773399

7.537468

8.520524

7.84336

8.260834

9.14118

9.335942

8.030262

7.817024

10.992405

8.975957

8.861954

9.349974

8.620519

9.462717

9.28215

9.049553

8.667582

8.145039

9.207336

8.668658

1312.0058

Ozan Erdo\u{g}an

Coordinate-space singularities of massless gauge theories

42 pages, 6 figures. v2: Figure 6 corrected, matches published version

Phys. Rev. D 89, 085016 (2014); Erratum-Phys. Rev. D 90, 089902 (2014)

10.1103/PhysRevD.89.085016

YITP-SB-13-43

hep-th hep-ph

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

The structure of singularities in perturbative massless gauge theories is investigated in coordinate space. The pinch singularities in coordinate-space integrals occur at configurations of vertices which have a direct interpretation in terms of physical scattering of particles in real space-time in the same way as for the loop momenta in the case of momentum-space singularities. In the analysis of vertex functions in coordinate space, the well-known factorization into hard, soft, and jet functions is found. By power-counting arguments, it is found that coordinate-space integrals of vertex functions have logarithmic divergences at worst.

[ { "created": "Sat, 30 Nov 2013 04:22:53 GMT", "version": "v1" }, { "created": "Thu, 2 Oct 2014 00:37:24 GMT", "version": "v2" } ]

2014-11-12

[ [ "Erdoğan", "Ozan", "" ] ]

The structure of singularities in perturbative massless gauge theories is investigated in coordinate space. The pinch singularities in coordinate-space integrals occur at configurations of vertices which have a direct interpretation in terms of physical scattering of particles in real space-time in the same way as for the loop momenta in the case of momentum-space singularities. In the analysis of vertex functions in coordinate space, the well-known factorization into hard, soft, and jet functions is found. By power-counting arguments, it is found that coordinate-space integrals of vertex functions have logarithmic divergences at worst.

11.227137

11.864925

10.139009

9.58884

10.588062

10.880521

10.947256

11.597563

10.080559

10.211882

10.712641

10.169535

10.389077

10.544045

9.776594

10.419534

10.057044

10.734544

10.120577

10.455405

10.257028

hep-th/0211209

Badis Ydri

Noncommutative Chiral Anomaly and the Dirac-Ginsparg-Wilson Operator

26 pages, latex file

JHEP 0308:046,2003

10.1088/1126-6708/2003/08/046

null

hep-th hep-lat

null

It is shown that the local axial anomaly in $2-$dimensions emerges naturally if one postulates an underlying noncommutative fuzzy structure of spacetime . In particular the Dirac-Ginsparg-Wilson relation on ${\bf S}^2_F$ is shown to contain an edge effect which corresponds precisely to the ``fuzzy'' $U(1)_A$ axial anomaly on the fuzzy sphere . We also derive a novel gauge-covariant expansion of the quark propagator in the form $\frac{1}{{\cal D}_{AF}}=\frac{a\hat{\Gamma}^L}{2}+\frac{1}{{\cal D}_{Aa}}$ where $a=\frac{2}{2l+1}$ is the lattice spacing on ${\bf S}^2_F$, $\hat{\Gamma}^L$ is the covariant noncommutative chirality and ${\cal D}_{Aa}$ is an effective Dirac operator which has essentially the same IR spectrum as ${\cal D}_{AF}$ but differes from it on the UV modes. Most remarkably is the fact that both operators share the same limit and thus the above covariant expansion is not available in the continuum theory . The first bit in this expansion $\frac{a\hat{\Gamma}^L}{2}$ although it vanishes as it stands in the continuum limit, its contribution to the anomaly is exactly the canonical theta term. The contribution of the propagator $\frac{1}{{\cal D}_{Aa}}$ is on the other hand equal to the toplogical Chern-Simons action which in two dimensions vanishes identically .

[ { "created": "Fri, 22 Nov 2002 19:13:12 GMT", "version": "v1" }, { "created": "Wed, 27 Nov 2002 18:34:11 GMT", "version": "v2" }, { "created": "Thu, 22 May 2003 13:54:09 GMT", "version": "v3" }, { "created": "Wed, 1 Oct 2003 12:46:58 GMT", "version": "v4" } ]

2014-11-18

[ [ "Ydri", "Badis", "" ] ]

It is shown that the local axial anomaly in $2-$dimensions emerges naturally if one postulates an underlying noncommutative fuzzy structure of spacetime . In particular the Dirac-Ginsparg-Wilson relation on ${\bf S}^2_F$ is shown to contain an edge effect which corresponds precisely to the ``fuzzy'' $U(1)_A$ axial anomaly on the fuzzy sphere . We also derive a novel gauge-covariant expansion of the quark propagator in the form $\frac{1}{{\cal D}_{AF}}=\frac{a\hat{\Gamma}^L}{2}+\frac{1}{{\cal D}_{Aa}}$ where $a=\frac{2}{2l+1}$ is the lattice spacing on ${\bf S}^2_F$, $\hat{\Gamma}^L$ is the covariant noncommutative chirality and ${\cal D}_{Aa}$ is an effective Dirac operator which has essentially the same IR spectrum as ${\cal D}_{AF}$ but differes from it on the UV modes. Most remarkably is the fact that both operators share the same limit and thus the above covariant expansion is not available in the continuum theory . The first bit in this expansion $\frac{a\hat{\Gamma}^L}{2}$ although it vanishes as it stands in the continuum limit, its contribution to the anomaly is exactly the canonical theta term. The contribution of the propagator $\frac{1}{{\cal D}_{Aa}}$ is on the other hand equal to the toplogical Chern-Simons action which in two dimensions vanishes identically .

7.342556

7.437199

7.725966

6.935966

7.624404

7.21215

7.354821

7.320866

7.050716

8.228282

7.280586

6.992173

7.430352

7.160384

7.253637

7.11307

7.106877

7.23287

7.072352

7.495697

7.089562

0705.1983

Vladimir Belavin

V. A. Belavin

On the N=1 super Liouville four-point functions

23 pages

Nucl.Phys.B798:423-442,2008

10.1016/j.nuclphysb.2008.01.001

null

hep-th

null

We construct the four-point correlation functions containing the top component of the supermultiplet in the Neveu-Schwarz sector of the N=1 SUSY Liouville field theory. The construction is based on the recursive representation for the NS conformal blocks. We test our results in the case where one of the fields is degenerate with a singular vector on the level 3/2. In this case, the correlation function satisfies a third-order ordinary differential equation, which we derive. We numerically verify the crossing symmetry relations for the constructed correlation functions in the nondegenerate case.

[ { "created": "Mon, 14 May 2007 17:09:19 GMT", "version": "v1" } ]

2008-11-26

[ [ "Belavin", "V. A.", "" ] ]

We construct the four-point correlation functions containing the top component of the supermultiplet in the Neveu-Schwarz sector of the N=1 SUSY Liouville field theory. The construction is based on the recursive representation for the NS conformal blocks. We test our results in the case where one of the fields is degenerate with a singular vector on the level 3/2. In this case, the correlation function satisfies a third-order ordinary differential equation, which we derive. We numerically verify the crossing symmetry relations for the constructed correlation functions in the nondegenerate case.

6.880685

5.757144

9.007595

6.665126

6.62013

5.999027

5.789718

6.204648

6.667714

10.033313

6.363997

6.121645

7.478281

6.711124

6.445883

6.619409

6.482314

6.51893

6.808772

7.50669

6.081499

1703.06871

Nihat Sadik Deger

Jumageldi Charyyev, Nihat Sadik Deger

Homogeneous Solutions of Minimal Massive 3D Gravity

23 pages, v2: minor changes, references added

Phys. Rev. D 96, 026024 (2017)

10.1103/PhysRevD.96.026024

null

hep-th gr-qc

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

In this paper we systematically construct simply transitive homogeneous spacetime solutions of the three-dimensional Minimal Massive Gravity (MMG) model. In addition to those that have analogs in Topologically Massive Gravity, such as warped AdS and pp-waves, there are several solutions genuine to MMG. Among them, there is a stationary Lifshitz metric with the dynamical exponent z=-1 and an anisotropic Lifshitz solution where all coordinates scale differently. Moreover, we identify a homogeneous Kundt type solution at the chiral point of the theory. We also show that in a particular limit of the physical parameters in which the Cotton tensor drops out from the MMG field equation, homogeneous solutions exist only at the merger point in the parameter space if they are not conformally flat.

[ { "created": "Mon, 20 Mar 2017 17:54:43 GMT", "version": "v1" }, { "created": "Mon, 27 Mar 2017 10:53:47 GMT", "version": "v2" } ]

2017-08-09

[ [ "Charyyev", "Jumageldi", "" ], [ "Deger", "Nihat Sadik", "" ] ]

In this paper we systematically construct simply transitive homogeneous spacetime solutions of the three-dimensional Minimal Massive Gravity (MMG) model. In addition to those that have analogs in Topologically Massive Gravity, such as warped AdS and pp-waves, there are several solutions genuine to MMG. Among them, there is a stationary Lifshitz metric with the dynamical exponent z=-1 and an anisotropic Lifshitz solution where all coordinates scale differently. Moreover, we identify a homogeneous Kundt type solution at the chiral point of the theory. We also show that in a particular limit of the physical parameters in which the Cotton tensor drops out from the MMG field equation, homogeneous solutions exist only at the merger point in the parameter space if they are not conformally flat.

11.196247

11.046957

11.137142

10.089529

10.798588

11.020108

11.869494

10.443138

9.750639

12.413266

10.244029

10.233986

10.052928

9.844768

10.16174

10.00679

9.870672

9.924257

10.307344

9.90669

10.178367

hep-th/0005124

Andrea Gregori

On the strong coupling behavior of heterotic and type I orbifolds

17 pages, latex, revised version with some rewriting and new comments added

JHEP 0103 (2001) 024

10.1088/1126-6708/2001/03/024

BICOCCA-FT-00-06

hep-th

null

We study the bulk effective theory of a class of orbifolds of the type IIB string with D5-branes, compactified to four dimensions. These constructions are connected, in a region of their moduli space, to some orbifolds of the type I and heterotic string. We compare the effective actions through the coupling of the R^2 term, and we argue that these orbifolds provide non-perturbative deformations of the latter, in which the gauge group is entirely non-perturbative.

[ { "created": "Mon, 15 May 2000 10:33:43 GMT", "version": "v1" }, { "created": "Wed, 11 Oct 2000 12:25:20 GMT", "version": "v2" } ]

2009-10-31

[ [ "Gregori", "Andrea", "" ] ]

We study the bulk effective theory of a class of orbifolds of the type IIB string with D5-branes, compactified to four dimensions. These constructions are connected, in a region of their moduli space, to some orbifolds of the type I and heterotic string. We compare the effective actions through the coupling of the R^2 term, and we argue that these orbifolds provide non-perturbative deformations of the latter, in which the gauge group is entirely non-perturbative.

7.914619

7.530428

8.896814

7.515172

7.3105

7.494418

7.324932

6.725922

7.372323

8.69451

7.200965

7.554491

8.057419

7.40451

7.536703

7.562139

7.621994

7.537056

7.575689

8.293817

7.338248

2006.10750

Daniel Mayerson

Iosif Bena, Daniel R. Mayerson

A New Window into Black Holes

5 pages; v2: strengthened the discussion of Kerr multipoles (section 4.2)

Phys.Rev.Lett. 125 (2020) 22, 221602

10.1103/PhysRevLett.125.221602

null

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

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

We develop a formalism to compute the gravitational multipole moments and ratios of moments of non-extremal and of supersymmetric black holes in four dimensions, as well as of horizonless microstate geometries of the latter. For supersymmetric and for Kerr black holes many of these multipole moments vanish, and their dimensionless ratios are ill-defined. We present two methods to compute these dimensionless ratios, which for certain supersymmetric black holes agree spectacularly. We also compute these dimensionless ratios for the Kerr solution. Our methods allow us to calculate an infinite number of hitherto unknown parameters of Kerr black holes, giving us a new window into their physics.

[ { "created": "Thu, 18 Jun 2020 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 9 Jul 2020 12:52:38 GMT", "version": "v2" } ]

2020-12-07

[ [ "Bena", "Iosif", "" ], [ "Mayerson", "Daniel R.", "" ] ]

We develop a formalism to compute the gravitational multipole moments and ratios of moments of non-extremal and of supersymmetric black holes in four dimensions, as well as of horizonless microstate geometries of the latter. For supersymmetric and for Kerr black holes many of these multipole moments vanish, and their dimensionless ratios are ill-defined. We present two methods to compute these dimensionless ratios, which for certain supersymmetric black holes agree spectacularly. We also compute these dimensionless ratios for the Kerr solution. Our methods allow us to calculate an infinite number of hitherto unknown parameters of Kerr black holes, giving us a new window into their physics.

9.457531

9.631819

9.588928

8.765304

10.873265

9.806067

8.508031

8.993463

9.020589

9.344484

8.973194

9.088843

9.485049

8.970576

9.15927

9.212742

8.998039

9.151932

9.188477

9.464366

9.191678

hep-th/9507106

Hong

R. Hong Tuan

Factorization of Spanning Trees on Feynman Graphs

47 pages, Plain Tex, 3 PostScript figures

null

LPTHE Orsay 92/59

hep-th

null

In order to use the Gaussian representation for propagators in Feynman amplitudes, a representation which is useful to relate string theory and field theory, one has to prove first that each $\alpha$- parameter (where $\alpha$ is the parameter associated to each propagator in the $\alpha$-representation of the Feynman amplitudes) can be replaced by a constant instead of being integrated over and second, prove that this constant can be taken equal for all propagators of a given graph. The first proposition has been proven in one recent letter when the number of propagators is infinite. Here we prove the second one. In order to achieve this, we demonstrate that the sum over the weighted spanning trees of a Feynman graph $G$ can be factorized for disjoint parts of $G$. The same can also be done for cuts on $G$, resulting in a rigorous derivation of the Gaussian representation for super-renormalizable scalar field theories. As a by-product spanning trees on Feynman graphs can be used to define a discretized functional space.

[ { "created": "Thu, 20 Jul 1995 14:10:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Tuan", "R. Hong", "" ] ]

In order to use the Gaussian representation for propagators in Feynman amplitudes, a representation which is useful to relate string theory and field theory, one has to prove first that each $\alpha$- parameter (where $\alpha$ is the parameter associated to each propagator in the $\alpha$-representation of the Feynman amplitudes) can be replaced by a constant instead of being integrated over and second, prove that this constant can be taken equal for all propagators of a given graph. The first proposition has been proven in one recent letter when the number of propagators is infinite. Here we prove the second one. In order to achieve this, we demonstrate that the sum over the weighted spanning trees of a Feynman graph $G$ can be factorized for disjoint parts of $G$. The same can also be done for cuts on $G$, resulting in a rigorous derivation of the Gaussian representation for super-renormalizable scalar field theories. As a by-product spanning trees on Feynman graphs can be used to define a discretized functional space.

9.744403

10.110074

9.515411

9.116052

9.406417

10.304285

9.753222

9.70134

9.63105

10.068893

9.273976

9.139812

9.619773

9.367136

9.361115

9.342965

9.377482

9.173985

9.284726

9.231477

9.124953

1412.6112

Washington Taylor

David R. Morrison and Washington Taylor

Non-Higgsable clusters for 4D F-theory models

35 pages, 3 figures; v2: references added; v3: constraints on two-factor product groups tightened, minor other corrections; v4: references added, some issues clarified in discussion of potential physical relevance

null

10.1007/JHEP05(2015)080

UCSB Math 2014-38, MIT-CTP-4582

hep-th

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

We analyze non-Higgsable clusters of gauge groups and matter that can arise at the level of geometry in 4D F-theory models. Non-Higgsable clusters seem to be generic features of F-theory compactifications, and give rise naturally to structures that include the nonabelian part of the standard model gauge group and certain specific types of potential dark matter candidates. In particular, there are nine distinct single nonabelian gauge group factors, and only five distinct products of two nonabelian gauge group factors with matter, including $SU(3) \times SU(2)$, that can be realized through 4D non-Higgsable clusters. There are also more complicated configurations involving more than two gauge factors; in particular, the collection of gauge group factors with jointly charged matter can exhibit branchings, loops, and long linear chains.

[ { "created": "Thu, 18 Dec 2014 21:02:26 GMT", "version": "v1" }, { "created": "Sun, 4 Jan 2015 18:49:18 GMT", "version": "v2" }, { "created": "Wed, 14 Jan 2015 20:07:52 GMT", "version": "v3" }, { "created": "Mon, 16 Mar 2015 00:01:07 GMT", "version": "v4" } ]

2017-09-13

[ [ "Morrison", "David R.", "" ], [ "Taylor", "Washington", "" ] ]

We analyze non-Higgsable clusters of gauge groups and matter that can arise at the level of geometry in 4D F-theory models. Non-Higgsable clusters seem to be generic features of F-theory compactifications, and give rise naturally to structures that include the nonabelian part of the standard model gauge group and certain specific types of potential dark matter candidates. In particular, there are nine distinct single nonabelian gauge group factors, and only five distinct products of two nonabelian gauge group factors with matter, including $SU(3) \times SU(2)$, that can be realized through 4D non-Higgsable clusters. There are also more complicated configurations involving more than two gauge factors; in particular, the collection of gauge group factors with jointly charged matter can exhibit branchings, loops, and long linear chains.

8.069247

9.3427

10.560846

9.191123

9.224633

9.561855

8.749892

8.229848

8.893224

11.485689

8.810608

8.764739

9.279872

8.717446

8.701688

8.629216

8.849083

8.97133

8.797636

9.217962

8.396174

hep-th/9406200

Folkert Mueller-Hoissen

F. M"uller-Hoissen

Physical Aspects of Differential Calculi on Commutative Algebras

21 pages, LaTeX, Karpacz lectures, GOET-TP 66/94 revised (inessential corrections)

null

hep-th gr-qc

null

The central structure in various versions of noncommutative geometry is a differential calculus on an associative algebra. This is an analogue of the calculus of differential forms on a manifold. In this short review we collect examples of differential calculi on commutative algebras (which can be regarded as algebras of functions on some topological space). We explain how these are related to relevant structures in physics.

[ { "created": "Wed, 29 Jun 1994 18:55:50 GMT", "version": "v1" }, { "created": "Mon, 4 Jul 1994 12:49:16 GMT", "version": "v2" }, { "created": "Fri, 23 Sep 1994 22:01:28 GMT", "version": "v3" } ]

2008-02-03

[ [ "M\"uller-Hoissen", "F.", "" ] ]

The central structure in various versions of noncommutative geometry is a differential calculus on an associative algebra. This is an analogue of the calculus of differential forms on a manifold. In this short review we collect examples of differential calculi on commutative algebras (which can be regarded as algebras of functions on some topological space). We explain how these are related to relevant structures in physics.

7.238776

6.706398

6.809537

6.41868

6.333053

7.142488

6.310777

6.2818

7.442678

7.090431

6.002041

6.557103

7.074714

6.689904

6.399138

6.56218

6.456841

6.594427

6.673862

7.501065

6.213382

hep-th/0005131

Makoto Nakamura

Sinji Hamamoto (Toyama Univ), Makoto Nakamura (Toyama Univ)

Path-Integral Measures in Higher-Derivative Gravities

11 pages, no figures

Prog.Theor.Phys. 104 (2000) 691-702

10.1143/PTP.104.691

TOYAMA-103

hep-th

null

A simple method of obtaining path-integral measures in higher-derivative gravities is presented. The measures are nothing but the generalized Lee-Yang terms.

[ { "created": "Mon, 15 May 2000 06:13:46 GMT", "version": "v1" } ]

2009-10-31

[ [ "Hamamoto", "Sinji", "", "Toyama Univ" ], [ "Nakamura", "Makoto", "", "Toyama Univ" ] ]

A simple method of obtaining path-integral measures in higher-derivative gravities is presented. The measures are nothing but the generalized Lee-Yang terms.

23.154642

17.37035

22.77319

16.212507

17.556728

14.359135

14.77218

19.568321

16.678753

18.558914

16.290535

15.416595

19.513407

17.149714

16.745804

15.317311

15.747766

15.82712

16.163654

16.365314

15.522902

2402.00095

Masoud Ghezelbash

B. H. Fahim, A.M. Ghezelbash

New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity

28 pages, 10 figures, typos corrected, references added

null

hep-th gr-qc

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

We find a new class of exact solutions for rotating black holes in $f(R)$ gravity in presence of imperfect fluid. We find that the exact solutions are holographically dual to a hidden conformal field theory. Moreover we consider another class of exact solutions for rotating black holes in $f(R)$ gravity, which is obtained through a Lorentz boost transformation on a static spherical symmetry solutions in $f(R)$ gravity. We also find that the boosted exact solutions are holographically dual to a hidden conformal field theory. Comparing the CFT temperatures and the mode numbers of the two CFTs, we suggest a conjecture that, "Two identical rotating black holes (the same mass and the horizon) in $f(R)$ theory could be distinguished by looking at their dual CFT temperatures, and the dual CFT mode numbers. The rotating black hole in the presence of matter has higher CFT temperatures and higher CFT mode numbers, compared to the vacuum boosted rotating black hole".

[ { "created": "Wed, 31 Jan 2024 17:24:18 GMT", "version": "v1" }, { "created": "Thu, 18 Apr 2024 13:55:29 GMT", "version": "v2" } ]

2024-04-19

[ [ "Fahim", "B. H.", "" ], [ "Ghezelbash", "A. M.", "" ] ]

We find a new class of exact solutions for rotating black holes in $f(R)$ gravity in presence of imperfect fluid. We find that the exact solutions are holographically dual to a hidden conformal field theory. Moreover we consider another class of exact solutions for rotating black holes in $f(R)$ gravity, which is obtained through a Lorentz boost transformation on a static spherical symmetry solutions in $f(R)$ gravity. We also find that the boosted exact solutions are holographically dual to a hidden conformal field theory. Comparing the CFT temperatures and the mode numbers of the two CFTs, we suggest a conjecture that, "Two identical rotating black holes (the same mass and the horizon) in $f(R)$ theory could be distinguished by looking at their dual CFT temperatures, and the dual CFT mode numbers. The rotating black hole in the presence of matter has higher CFT temperatures and higher CFT mode numbers, compared to the vacuum boosted rotating black hole".

7.295589

7.226771

7.266128

6.686106

7.490465

7.026411

7.605153

6.54199

7.200346

7.147051

7.317675

7.058532

6.672227

6.696367

6.790597

6.809685

7.235982

6.735607

6.845353

7.019035

6.824584

hep-th/0512115

Ernesto Fuenmayor Di Prisco

P.J. Arias, N. Bol\'ivar, E. Fuenmayor, Lorenzo Leal

Quantization of Interacting Non-Relativistic Open Strings using Extended Objects

9 pages

null

hep-th

null

Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model comprises open-strings interacting through a Kalb-Ramond field in four dimensions. It is shown that a consistent geometric-representation can be built using a scheme of ``surfaces and lines of Faraday'', provided that the coupling constant (the ``charge'' of the string) is quantized.

[ { "created": "Fri, 9 Dec 2005 22:53:57 GMT", "version": "v1" } ]

2016-08-16

[ [ "Arias", "P. J.", "" ], [ "Bolívar", "N.", "" ], [ "Fuenmayor", "E.", "" ], [ "Leal", "Lorenzo", "" ] ]

Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model comprises open-strings interacting through a Kalb-Ramond field in four dimensions. It is shown that a consistent geometric-representation can be built using a scheme of ``surfaces and lines of Faraday'', provided that the coupling constant (the ``charge'' of the string) is quantized.

20.081305

14.765012

16.457947

15.282643

15.072596

14.182123

15.434996

15.902448

15.686369

19.400442

14.416861

17.270557

18.802647

17.207405

17.981737

17.7155

17.556511

17.491879

17.532564

19.257122

16.628101

hep-th/0509226

Marc P. Bellon

Marc Bellon and Michel Talon

The quantum Neumann model: refined semiclassical results

10 pages, 5 figures Minor edits

Phys.Lett. A356 (2006) 110-114

10.1016/j.physleta.2006.03.021

LPTHE-05-29

hep-th nlin.SI

null

We extend the semiclassical study of the Neumann model down to the deep quantum regime. A detailed study of connection formulae at the turning points allows to get good matching with the exact results for the whole range of parameters.

[ { "created": "Thu, 29 Sep 2005 20:55:28 GMT", "version": "v1" }, { "created": "Wed, 12 Oct 2005 15:40:24 GMT", "version": "v2" } ]

2009-11-11

[ [ "Bellon", "Marc", "" ], [ "Talon", "Michel", "" ] ]

We extend the semiclassical study of the Neumann model down to the deep quantum regime. A detailed study of connection formulae at the turning points allows to get good matching with the exact results for the whole range of parameters.

21.917753

17.756073

21.305941

18.852243

15.15447

19.744455

17.582743

17.667793

19.722954

20.404938

18.335791

19.196793

21.683388

19.396139

20.165779

19.721966

19.195698

20.715563

19.251379

21.374832

19.380022

1208.6585

Jo\~ao Bosco Siqueira Siqueira J. B.

F. T. Brandt and J. B. Siqueira

High temperature limit in static backgrounds

15 pages, 11 figures. To be published in Physical Review D

null

10.1103/PhysRevD.86.105001

null

hep-th

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

We prove that the hard thermal loop contribution to static thermal amplitudes can be obtained by setting all the external four-momenta to zero before performing the Matsubara sums and loop integrals. At the one-loop order we do an iterative procedure for all the 1PI one-loop diagrams and at the two-loop order we consider the self-energy. Our approach is sufficiently general to the extent that it includes theories with any kind of interaction vertices, such as gravity in the weak field approximation, for $d$ space-time dimensions. This result is valid whenever the external fields are all bosonic.

[ { "created": "Fri, 31 Aug 2012 19:24:46 GMT", "version": "v1" }, { "created": "Fri, 26 Oct 2012 18:26:54 GMT", "version": "v2" } ]

2015-06-11

[ [ "Brandt", "F. T.", "" ], [ "Siqueira", "J. B.", "" ] ]

We prove that the hard thermal loop contribution to static thermal amplitudes can be obtained by setting all the external four-momenta to zero before performing the Matsubara sums and loop integrals. At the one-loop order we do an iterative procedure for all the 1PI one-loop diagrams and at the two-loop order we consider the self-energy. Our approach is sufficiently general to the extent that it includes theories with any kind of interaction vertices, such as gravity in the weak field approximation, for $d$ space-time dimensions. This result is valid whenever the external fields are all bosonic.

12.932814

12.331988

12.138281

10.670238

13.663322

13.280016

12.385235

11.759929

11.017534

12.896274

12.761109

12.081962

12.020947

11.935487

11.793605

12.092448

11.515489

11.9374

11.633589

12.03534

11.955135

hep-th/9910250

Matthew J. Strassler

Philip C. Argyres (Cornell, ITP Santa Barbara), Ken Intriligator (UC San Diego, Inst. for Adv. Study), Robert G. Leigh (Illinois), Matthew J. Strassler (Inst. for Adv. Study)

On Inherited Duality in N=1 d=4 Supersymmetric Gauge Theories

11 pages, LaTeX; v2 (v3) has minor changes in wording (references)

JHEP 0004:029,2000

10.1088/1126-6708/2000/04/029

RU-96-109, IAS-TH-96/124, ILL-(TH)-96-16, CLNS-99/1642, NSF-ITP-99-126, UCSD/PTH 99-16

hep-th

null

Four-dimensional N=1 supersymmetric gauge theories with two adjoints and a quartic superpotential are believed, from AdS/CFT duality, to have SL(2,Z) invariance. In this note we review an old, unpublished argument for this property, based solely on field theory. The technique involves a complexified flavor rotation which deforms an N=2 supersymmetric gauge theory with matter to an N=1 theory, leaving all holomorphic invariants unchanged. We apply this to the N=1 gauge theory with two massless adjoints and show that it has the same auxiliary torus as that of N=4 gauge theory, from which SL(2,Z) invariance follows. In an appendix, we check that our arguments are consistent with earlier work on the SU(2) case. Our technique is general and applies to many other N=1 theories.

[ { "created": "Fri, 29 Oct 1999 21:44:34 GMT", "version": "v1" }, { "created": "Mon, 1 Nov 1999 00:08:41 GMT", "version": "v2" }, { "created": "Thu, 30 Mar 2000 15:20:29 GMT", "version": "v3" } ]

2014-11-18

[ [ "Argyres", "Philip C.", "", "Cornell, ITP Santa Barbara" ], [ "Intriligator", "Ken", "", "UC\n San Diego, Inst. for Adv. Study" ], [ "Leigh", "Robert G.", "", "Illinois" ], [ "Strassler", "Matthew J.", "", "Inst. for Adv. Study" ] ]

Four-dimensional N=1 supersymmetric gauge theories with two adjoints and a quartic superpotential are believed, from AdS/CFT duality, to have SL(2,Z) invariance. In this note we review an old, unpublished argument for this property, based solely on field theory. The technique involves a complexified flavor rotation which deforms an N=2 supersymmetric gauge theory with matter to an N=1 theory, leaving all holomorphic invariants unchanged. We apply this to the N=1 gauge theory with two massless adjoints and show that it has the same auxiliary torus as that of N=4 gauge theory, from which SL(2,Z) invariance follows. In an appendix, we check that our arguments are consistent with earlier work on the SU(2) case. Our technique is general and applies to many other N=1 theories.

7.77178

7.412434

8.374054

6.959601

7.29195

7.217064

7.328858

7.03334

7.506316

9.103693

7.142461

7.11383

7.589389

7.125906

7.114549

7.295691

7.194878

7.280964

7.108509

7.771096

7.03859

hep-th/0409053

Christoph Sieg

Aspects of Noncommutativity and Holography in Field Theory and String Theory

211 pages, Latex, 13 figures, PhD Thesis, some typos corrected, final version, one part submitted and published in Fortsch.Phys

null

HU Berlin-EP-04/49

hep-th

null

This thesis addresses two topics: noncommutative Yang-Mills theories and the AdS/CFT correspondence. In the first part we study a partial summation of the theta-expanded perturbation theory. The latter allows one to define noncommutative Yang-Mills theories with arbitrary gauge groups G as a perturbation expansion in the noncommutativity parameter theta. We show that for G being a subgroup of U(N) that is not identical to U(M) with M<N, one does not find a finite set of theta-summed Feynman rules. In the second part we study quantities which are important for the realization of the holographic principle in the AdS/CFT correspondence: boundaries, geodesics and the propagators of scalar fields. They should play a role in the holographic setup in the BMN limit as well. We observe how these quantities behave in the limiting process from AdS_5 x S^5 to the 10-dimensional plane wave which is the spacetime in the BMN limit.

[ { "created": "Fri, 3 Sep 2004 18:09:48 GMT", "version": "v1" }, { "created": "Mon, 9 May 2005 16:59:01 GMT", "version": "v2" } ]

2015-07-27

[ [ "Sieg", "Christoph", "" ] ]

This thesis addresses two topics: noncommutative Yang-Mills theories and the AdS/CFT correspondence. In the first part we study a partial summation of the theta-expanded perturbation theory. The latter allows one to define noncommutative Yang-Mills theories with arbitrary gauge groups G as a perturbation expansion in the noncommutativity parameter theta. We show that for G being a subgroup of U(N) that is not identical to U(M) with M<N, one does not find a finite set of theta-summed Feynman rules. In the second part we study quantities which are important for the realization of the holographic principle in the AdS/CFT correspondence: boundaries, geodesics and the propagators of scalar fields. They should play a role in the holographic setup in the BMN limit as well. We observe how these quantities behave in the limiting process from AdS_5 x S^5 to the 10-dimensional plane wave which is the spacetime in the BMN limit.

7.750837

7.734798

8.260192

7.626853

7.592981

7.959342

8.612603

7.435376

7.340508

8.409044

7.697617

7.564162

7.431078

7.319837

7.520734

7.389201

7.437334

7.451987

7.458509

7.236186

7.300433

hep-th/9403042

Serguei Shabanov

Sergey V. Shabanov

q-oscillators, (non-)Kaehler manifolds and constrained dynamics

Latex (7 pages), Saclay T93/027

Mod.Phys.Lett. A10 (1995) 941-948

10.1142/S0217732395001034

null

hep-th

null

It is shown that q-deformed quantum mechanics (q-deformed Heisenberg algebra) can be interpreted as quantum mechanics on Kaehler manifolds, or as a quantum theory with second (or first-) class constraints. (Saclay, T93/027).

[ { "created": "Mon, 7 Mar 1994 15:14:37 GMT", "version": "v1" } ]

2015-06-26

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

It is shown that q-deformed quantum mechanics (q-deformed Heisenberg algebra) can be interpreted as quantum mechanics on Kaehler manifolds, or as a quantum theory with second (or first-) class constraints. (Saclay, T93/027).

19.37323

15.012652

16.490177

14.622635

14.275455

21.419336

15.155764

13.341686

15.108842

15.268563

14.346268

14.729864

14.909552

14.40556

14.99008

15.68401

15.257483

15.436991

13.935988

15.039941

14.585529

1806.02289

Riccardo Antonelli

Riccardo Antonelli, Ivano Basile, Alessandro Bombini

AdS Vacuum Bubbles, Holography and Dual RG Flows

26 pages, 10 figures; references and comments added

null

10.1088/1361-6382/aafef9

null

hep-th

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

We explore the holographic properties of non-perturbative vacuum decay in Anti-de Sitter ($\mathrm{AdS}$) geometries. To this end, we consider a gravitational theory in a metastable $\mathrm{AdS}_3$ state, which decays into an $\mathrm{AdS}_3$ of lower vacuum energy via bubble nucleation, and we employ the Ryu-Takayanagi conjecture to compute the entanglement entropy $S_\text{ent}$ in its alleged holographic dual. Our analysis leads us to infer that the nucleation and growth of a vacuum bubble correspond, in the boundary theory, to the introduction of a relevant deformation and a subsequent Renormalization Group (RG) flow, where $S_\text{ent}$ provides a $c$-function. We provide further evidence for the claim and comment on the holographic interpretation of off-centred or multiple bubbles. We also frame the issue in the formalism of Holographic Integral Geometry, discussing the consequences on the structure of the holographic RG flow and recovering the standard holographic RG as a limiting case.

[ { "created": "Wed, 6 Jun 2018 16:30:56 GMT", "version": "v1" }, { "created": "Tue, 19 Jun 2018 09:35:09 GMT", "version": "v2" }, { "created": "Wed, 7 Nov 2018 13:31:50 GMT", "version": "v3" }, { "created": "Thu, 13 Dec 2018 13:14:51 GMT", "version": "v4" } ]

2019-02-13

[ [ "Antonelli", "Riccardo", "" ], [ "Basile", "Ivano", "" ], [ "Bombini", "Alessandro", "" ] ]

We explore the holographic properties of non-perturbative vacuum decay in Anti-de Sitter ($\mathrm{AdS}$) geometries. To this end, we consider a gravitational theory in a metastable $\mathrm{AdS}_3$ state, which decays into an $\mathrm{AdS}_3$ of lower vacuum energy via bubble nucleation, and we employ the Ryu-Takayanagi conjecture to compute the entanglement entropy $S_\text{ent}$ in its alleged holographic dual. Our analysis leads us to infer that the nucleation and growth of a vacuum bubble correspond, in the boundary theory, to the introduction of a relevant deformation and a subsequent Renormalization Group (RG) flow, where $S_\text{ent}$ provides a $c$-function. We provide further evidence for the claim and comment on the holographic interpretation of off-centred or multiple bubbles. We also frame the issue in the formalism of Holographic Integral Geometry, discussing the consequences on the structure of the holographic RG flow and recovering the standard holographic RG as a limiting case.

7.718575

7.731719

8.310663

7.469311

7.762697

7.458205

7.015282

7.563008

7.246761

8.623609

7.521419

7.343549

7.773275

7.242678

7.526903

7.497126

7.308829

7.426035

7.330992

7.69509

7.180784

1004.4984

Neven Bilic

Supersymmetric dark energy

10 pages, title changed, minor changes, misprints corrected, references added, presented at Balkan Summer Instute BW2011, Serbia to appear in Romanian Journal of Physics

Romanian Journal of Physics 57 (2012) 793-802

null

hep-th astro-ph.CO gr-qc

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

We study a noninteracting supersymmetric model in de Sitter spacetime. Supersymmetry breaking induces a nonzero vacuum energy density. A short distance cut-off of the order of Planck length provides a matching between the vacuum energy density and the cosmological constant related to the de Sitter expansion parameter.

[ { "created": "Wed, 28 Apr 2010 09:51:54 GMT", "version": "v1" }, { "created": "Fri, 11 Jun 2010 11:15:27 GMT", "version": "v2" }, { "created": "Fri, 10 Feb 2012 14:11:37 GMT", "version": "v3" } ]

2015-03-17

[ [ "Bilic", "Neven", "" ] ]

We study a noninteracting supersymmetric model in de Sitter spacetime. Supersymmetry breaking induces a nonzero vacuum energy density. A short distance cut-off of the order of Planck length provides a matching between the vacuum energy density and the cosmological constant related to the de Sitter expansion parameter.

8.685987

7.674595

7.644687

7.336496

7.213084

8.660153

7.827502

7.499701

7.489804

7.534685

8.013816

8.111988

7.911431

7.598416

8.010156

7.63746

7.687053

7.641247

7.931062

7.787718

7.631803

2102.12488

Domenico Orlando

Nicola Dondi, Ioannis Kalogerakis, Domenico Orlando, Susanne Reffert

Resurgence of the large-charge expansion

references added, minor fixes

null

10.1007/JHEP05(2021)035

null

hep-th

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

We study the O(2N) model at criticality in three dimensions in the double scaling limit of large N and large charge. We show that the large-charge expansion is an asymptotic series, and we use resurgence techniques to study the non-perturbative corrections and to extend the validity of the effective field theory to any value of the charge. We conjecture the general form of the non-perturbative behavior of the conformal dimensions for any value of N and find very good agreement with previous lattice data.

[ { "created": "Wed, 24 Feb 2021 19:00:01 GMT", "version": "v1" }, { "created": "Wed, 10 Mar 2021 08:50:00 GMT", "version": "v2" } ]

2021-05-19

[ [ "Dondi", "Nicola", "" ], [ "Kalogerakis", "Ioannis", "" ], [ "Orlando", "Domenico", "" ], [ "Reffert", "Susanne", "" ] ]

We study the O(2N) model at criticality in three dimensions in the double scaling limit of large N and large charge. We show that the large-charge expansion is an asymptotic series, and we use resurgence techniques to study the non-perturbative corrections and to extend the validity of the effective field theory to any value of the charge. We conjecture the general form of the non-perturbative behavior of the conformal dimensions for any value of N and find very good agreement with previous lattice data.

6.575867

5.376995

6.403955

5.168216

5.272696

4.927962

5.261673

5.12351

5.303539

6.598214

5.2951

5.587311

6.359497

5.835976

5.824958

5.722515

5.588125

5.659625

5.897926

6.929721

5.64133

1206.6369

Stanislav Kuperstein

Iosif Bena, Mariana Grana, Stanislav Kuperstein and Stefano Massai

Anti-D3's - Singular to the Bitter End

4 pages (for obvious reasons), revtex; v2: minor improvements

Phys.Rev.D87:106010,2013

10.1103/PhysRevD.87.106010

null

hep-th

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

We study the full backreaction of anti-D3 branes smeared over the tip of the deformed conifold. Requiring the 5-form flux and warp factor at the tip to be that of anti-D3 branes, we find a simple power counting argument showing that if the three-form fluxes have no IR singularity, they will be necessarily imaginary-anti-self-dual. Hence the only solution with anti-D3 branes at the tip of the conifold that is regular in the IR and the UV is the anti-Klebanov-Strassler solution, and there is no regular solution whose D3-charge is negative in the IR and positive in the UV.

[ { "created": "Wed, 27 Jun 2012 19:17:36 GMT", "version": "v1" }, { "created": "Fri, 22 Mar 2013 15:35:42 GMT", "version": "v2" } ]

2014-12-10

[ [ "Bena", "Iosif", "" ], [ "Grana", "Mariana", "" ], [ "Kuperstein", "Stanislav", "" ], [ "Massai", "Stefano", "" ] ]

We study the full backreaction of anti-D3 branes smeared over the tip of the deformed conifold. Requiring the 5-form flux and warp factor at the tip to be that of anti-D3 branes, we find a simple power counting argument showing that if the three-form fluxes have no IR singularity, they will be necessarily imaginary-anti-self-dual. Hence the only solution with anti-D3 branes at the tip of the conifold that is regular in the IR and the UV is the anti-Klebanov-Strassler solution, and there is no regular solution whose D3-charge is negative in the IR and positive in the UV.

7.932407

7.764349

9.207735

7.30102

7.108088

7.571103

8.144175

7.330068

7.224837

9.865512

7.302481

7.508123

7.77017

7.663699

7.392089

7.559711

7.540592

7.223528

7.544078

7.823457

7.15162

hep-th/9808190

Pierre Ramond

T. Pengpan and P. Ramond (U Florida, Gainesville)

M(ysterious) Patterns in SO(9)

15 pages, uses article.sty. To appear in Physics Reports in the memory of Richard Slansky

Phys.Rept.315:137-152,1999

10.1016/S0370-1573(99)00018-6

UFIFT-HET-98-22

hep-th

null

The light-cone little group, SO(9), classifies the massless degrees of freedom of eleven-dimensional supergravity, with a triplet of representations. We observe that this triplet generalizes to four-fold infinite families with the quantum numbers of massless higher spin states. Their mathematical structure stems from the three equivalent ways of embedding SO(9) into the exceptional group $F_4$.

[ { "created": "Mon, 31 Aug 1998 18:11:39 GMT", "version": "v1" } ]

2011-04-15

[ [ "Pengpan", "T.", "", "U Florida, Gainesville" ], [ "Ramond", "P.", "", "U Florida, Gainesville" ] ]

The light-cone little group, SO(9), classifies the massless degrees of freedom of eleven-dimensional supergravity, with a triplet of representations. We observe that this triplet generalizes to four-fold infinite families with the quantum numbers of massless higher spin states. Their mathematical structure stems from the three equivalent ways of embedding SO(9) into the exceptional group $F_4$.

16.918699

13.799832

17.92127

14.564454

14.878451

15.109756

15.070991

14.51384

12.874363

16.539801

13.628231

12.856916

14.695324

13.941269

13.19772

13.50371

13.090284

13.154515

14.049579

14.429752

13.738543

1612.04376

Marco Serone

Marco Serone, Gabriele Spada, Giovanni Villadoro

Instantons from Perturbation Theory

4 pages, 1 figure; v2: minor corrections and improvements, ref. added

Phys. Rev. D 96, 021701 (2017)

10.1103/PhysRevD.96.021701

null

hep-th math-ph math.MP quant-ph

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

In quantum mechanics and quantum field theory perturbation theory generically requires the inclusion of extra contributions non-perturbative in the coupling, such as instantons, to reproduce exact results. We show how full non-perturbative results can be encoded in a suitable modified perturbative series in a class of quantum mechanical problems. We illustrate this explicitly in examples which are known to contain non-perturbative effects, such as the (supersymmetric) double-well potential, the pure anharmonic oscillator, and the perturbative expansion around a false vacuum.

[ { "created": "Tue, 13 Dec 2016 21:00:02 GMT", "version": "v1" }, { "created": "Wed, 31 Jan 2018 16:06:09 GMT", "version": "v2" } ]

2018-02-01

[ [ "Serone", "Marco", "" ], [ "Spada", "Gabriele", "" ], [ "Villadoro", "Giovanni", "" ] ]

In quantum mechanics and quantum field theory perturbation theory generically requires the inclusion of extra contributions non-perturbative in the coupling, such as instantons, to reproduce exact results. We show how full non-perturbative results can be encoded in a suitable modified perturbative series in a class of quantum mechanical problems. We illustrate this explicitly in examples which are known to contain non-perturbative effects, such as the (supersymmetric) double-well potential, the pure anharmonic oscillator, and the perturbative expansion around a false vacuum.

7.930599

6.771533

7.387221

6.751935

7.035773

6.569742

6.571302

7.129886

6.637316

8.09263

6.933245

6.444212

6.80796

6.561686

6.518871

6.457561

6.393915

6.376043

6.446248

6.837729

6.581008

hep-th/0005280

Andrei Mironov

A.Mironov and A.Morozov

On Renormalization Group in Abstract QFT

7 pages, LaTeX

Phys.Lett. B490 (2000) 173-179

10.1016/S0370-2693(00)00984-9

null

hep-th

null

The basics of RG equations for generic partition functions are briefly reviewed, keeping in mind an application to the Polyakov-de Boer-Verlindes description of the holomorphic RG flow.

[ { "created": "Tue, 30 May 2000 16:00:39 GMT", "version": "v1" } ]

2009-10-31

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

The basics of RG equations for generic partition functions are briefly reviewed, keeping in mind an application to the Polyakov-de Boer-Verlindes description of the holomorphic RG flow.

41.173012

34.059246

37.203041

31.695488

35.193935

38.543198

35.985886

28.826517

29.806437

52.986454

29.767561

35.01379

35.852409

30.109688

34.133057

34.969215

31.154001

31.012974

29.407841

34.170242

30.934893

hep-th/0603155

Karl-Henning Rehren

Klaus Fredenhagen, Karl-Henning Rehren, Erhard Seiler

Quantum Field Theory: Where We Are

To appear in: An Assessment of Current Paradigms in the Physics of Fundamental Phenomena, to be published by Springer Verlag (2006)

Lect.NotesPhys.721:61-87,2007

10.1007/978-3-540-71117-9_4

null

hep-th

null

We comment on the present status, the concepts and their limitations, and the successes and open problems of the various approaches to a relativistic quantum theory of elementary particles, with a hindsight to questions concerning quantum gravity and string theory.

[ { "created": "Mon, 20 Mar 2006 16:09:02 GMT", "version": "v1" } ]

2008-11-26

[ [ "Fredenhagen", "Klaus", "" ], [ "Rehren", "Karl-Henning", "" ], [ "Seiler", "Erhard", "" ] ]

We comment on the present status, the concepts and their limitations, and the successes and open problems of the various approaches to a relativistic quantum theory of elementary particles, with a hindsight to questions concerning quantum gravity and string theory.

21.090424

16.38439

18.523155

16.376341

16.249874

16.903353

17.132257

18.757977

16.853695

16.997213

18.414633

17.318279

18.128214

18.05834

17.810207

18.416405

17.433578

18.174358

17.39992

18.04825

17.20933

2005.08802

Yusuke Kimura

Singularities of 1/2 Calabi-Yau 4-folds and classification scheme for gauge groups in four-dimensional F-theory

17 pages

Adv.Theor.Math.Phys. 26(2022), 2697-2717

10.4310/ATMP.2022.v26.n8.a8

KEK-TH-2218

hep-th

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

In a previous study, we constructed a family of elliptic Calabi-Yau 4-folds possessing a geometric structure that allowed them to be split into a pair of rational elliptic 4-folds. In the present study, we introduce a method of classifying the singularity types of this class of elliptic Calabi-Yau 4-folds. In brief, we propose a method to classify the non-Abelian gauge groups formed in four-dimensional (4D) $N=1$ F-theory for this class of elliptic Calabi-Yau 4-folds. To demonstrate our method, we explicitly construct several elliptic Calabi-Yau 4-folds belonging to this class and study the 4D F-theory thereupon. These constructions include a 4D model with two U(1) factors.

[ { "created": "Mon, 18 May 2020 15:22:37 GMT", "version": "v1" } ]

2024-01-08

[ [ "Kimura", "Yusuke", "" ] ]

In a previous study, we constructed a family of elliptic Calabi-Yau 4-folds possessing a geometric structure that allowed them to be split into a pair of rational elliptic 4-folds. In the present study, we introduce a method of classifying the singularity types of this class of elliptic Calabi-Yau 4-folds. In brief, we propose a method to classify the non-Abelian gauge groups formed in four-dimensional (4D) $N=1$ F-theory for this class of elliptic Calabi-Yau 4-folds. To demonstrate our method, we explicitly construct several elliptic Calabi-Yau 4-folds belonging to this class and study the 4D F-theory thereupon. These constructions include a 4D model with two U(1) factors.

6.292776

5.362899

6.561714

5.440618

5.430032

5.361238

5.566504

5.354546

5.335509

6.629732

5.438573

5.482516

5.849595

5.591202

5.47284

5.719611

5.4697

5.660939

5.670123

5.964184

5.533844

hep-th/0407055

Henning Samtleben

H. Nicolai, H. Samtleben

On K(E_9)

25 pages, LaTeX2e

Q.J.Pure Appl.Math. 1 (2005) 180-204

null

AEI-2004-029, DESY 04-119

hep-th

null

We study the maximal compact subgroup K(E_9) of the affine Lie group E_9(9) and its on-shell realization as an R symmetry of maximal N=16 supergravity in two dimensions. We first give a rigorous definition of the group K(E_9), which lives on the double cover of the spectral parameter plane, and show that the infinitesimal action of K(E_9) on the chiral components of the bosons and the fermions is determined in terms of an expansion of the Lie algebra of K(E_9) about the two branch points of this cover; this implies in particular that the fermions of N=16 supergravity transform in a spinor representation of K(E_9). The fermionic equations of motion can be fitted into the lowest components of a single K(E_9) covariant `Dirac equation', with the linear system of N=16 supergravity as the gauge connection. These results suggest the existence of an `off-shell' realization of K(E_9) in terms of an infinite component spinor representation. We conclude with some coments on `generalized holonomies' of M theory.

[ { "created": "Thu, 8 Jul 2004 09:00:03 GMT", "version": "v1" } ]

2007-05-23

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

We study the maximal compact subgroup K(E_9) of the affine Lie group E_9(9) and its on-shell realization as an R symmetry of maximal N=16 supergravity in two dimensions. We first give a rigorous definition of the group K(E_9), which lives on the double cover of the spectral parameter plane, and show that the infinitesimal action of K(E_9) on the chiral components of the bosons and the fermions is determined in terms of an expansion of the Lie algebra of K(E_9) about the two branch points of this cover; this implies in particular that the fermions of N=16 supergravity transform in a spinor representation of K(E_9). The fermionic equations of motion can be fitted into the lowest components of a single K(E_9) covariant `Dirac equation', with the linear system of N=16 supergravity as the gauge connection. These results suggest the existence of an `off-shell' realization of K(E_9) in terms of an infinite component spinor representation. We conclude with some coments on `generalized holonomies' of M theory.

8.151426

8.020139

9.496775

7.817198

8.283625

8.139379

8.096002

8.344384

7.80422

10.388451

7.644545

7.553154

8.398993

8.06953

7.882721

7.565924

7.708708

7.641795

7.79409

8.511968

7.575142

1707.06242

Jonathan Heckman

Fabio Apruzzi, Jonathan J. Heckman, Tom Rudelius

Green-Schwarz Automorphisms and 6D SCFTs

v2: 66 pages, 5 figures, updated references and clarifications added

null

10.1007/JHEP02(2018)157

null

hep-th

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

All known interacting 6D superconformal field theories (SCFTs) have a tensor branch which includes anti-chiral two-forms and a corresponding lattice of string charges. Automorphisms of this lattice preserve the Dirac pairing and specify discrete global and gauge symmetries of the 6D theory. In this paper we compute this automorphism group for 6D SCFTs. This discrete data determines the geometric structure of the moduli space of vacua. Upon compactification, these automorphisms generate Seiberg-like dualities, as well as additional theories in discrete quotients by the 6D global symmetries. When a perturbative realization is available, these discrete quotients correspond to including additional orientifold planes in the string construction.

[ { "created": "Wed, 19 Jul 2017 18:00:15 GMT", "version": "v1" }, { "created": "Mon, 31 Jul 2017 13:51:25 GMT", "version": "v2" } ]

2018-04-04

[ [ "Apruzzi", "Fabio", "" ], [ "Heckman", "Jonathan J.", "" ], [ "Rudelius", "Tom", "" ] ]

All known interacting 6D superconformal field theories (SCFTs) have a tensor branch which includes anti-chiral two-forms and a corresponding lattice of string charges. Automorphisms of this lattice preserve the Dirac pairing and specify discrete global and gauge symmetries of the 6D theory. In this paper we compute this automorphism group for 6D SCFTs. This discrete data determines the geometric structure of the moduli space of vacua. Upon compactification, these automorphisms generate Seiberg-like dualities, as well as additional theories in discrete quotients by the 6D global symmetries. When a perturbative realization is available, these discrete quotients correspond to including additional orientifold planes in the string construction.

9.035467

9.963993

11.141517

9.003643

8.322876

8.961977

9.24108

9.213812

8.390443

12.143502

8.502913

8.684148

9.161476

8.445748

8.435341

8.369995

8.315858

8.31496

8.271042

9.342212

8.347144

hep-th/0010128

Janos Polonyi

Jean Alexandre, Janos Polonyi

Functional Callan-Symanzik equation

17 pages, to appear in Annals of Physics

Annals Phys. 288 (2001) 37-51

10.1006/aphy.2000.6109

null

hep-th

null

We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the similarity of these equations with the Wilsonian renormalization group flows and also recover the usual one loop effective action.

[ { "created": "Mon, 16 Oct 2000 16:28:06 GMT", "version": "v1" } ]

2009-10-31

[ [ "Alexandre", "Jean", "" ], [ "Polonyi", "Janos", "" ] ]

We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the similarity of these equations with the Wilsonian renormalization group flows and also recover the usual one loop effective action.

11.734716

10.926487

10.968992

10.976551

10.367553

11.034448

10.19365

10.021199

9.486259

11.577911

10.575335

10.502044

11.249521

10.974461

11.129039

10.90985

11.024946

11.076554

10.826346

11.062132

10.605462

hep-th/0407090

Allemandi Gianluca

G. Allemandi, A. Borowiec, M. Francaviglia

Accelerated Cosmological Models in Ricci squared Gravity

New version: 26 pages, 1 figure (now included), Revtex4

Phys.Rev.D70:103503,2004

10.1103/PhysRevD.70.103503

null

hep-th

null

Alternative gravitational theories described by Lagrangians depending on general functions of the Ricci scalar have been proven to give coherent theoretical models to describe the experimental evidence of the acceleration of universe at present time. In this paper we proceed further in this analysis of cosmological applications of alternative gravitational theories depending on (other) curvature invariants. We introduce Ricci squared Lagrangians in minimal interaction with matter (perfect fluid); we find modified Einstein equations and consequently modified Friedmann equations in the Palatini formalism. It is striking that both Ricci scalar and Ricci squared theories are described in the same mathematical framework and both the generalized Einstein equations and generalized Friedmann equations have the same structure. In the framework of the cosmological principle, without the introduction of exotic forms of dark energy, we thus obtain modified equations providing values of w_{eff}<-1 in accordance with the experimental data. The spacetime bi-metric structure plays a fundamental role in the physical interpretation of results and gives them a clear and very rich geometrical interpretation.

[ { "created": "Mon, 12 Jul 2004 18:31:51 GMT", "version": "v1" }, { "created": "Fri, 16 Jul 2004 13:57:41 GMT", "version": "v2" } ]

2011-07-19

[ [ "Allemandi", "G.", "" ], [ "Borowiec", "A.", "" ], [ "Francaviglia", "M.", "" ] ]

Alternative gravitational theories described by Lagrangians depending on general functions of the Ricci scalar have been proven to give coherent theoretical models to describe the experimental evidence of the acceleration of universe at present time. In this paper we proceed further in this analysis of cosmological applications of alternative gravitational theories depending on (other) curvature invariants. We introduce Ricci squared Lagrangians in minimal interaction with matter (perfect fluid); we find modified Einstein equations and consequently modified Friedmann equations in the Palatini formalism. It is striking that both Ricci scalar and Ricci squared theories are described in the same mathematical framework and both the generalized Einstein equations and generalized Friedmann equations have the same structure. In the framework of the cosmological principle, without the introduction of exotic forms of dark energy, we thus obtain modified equations providing values of w_{eff}<-1 in accordance with the experimental data. The spacetime bi-metric structure plays a fundamental role in the physical interpretation of results and gives them a clear and very rich geometrical interpretation.

13.857543

14.12223

13.9343

13.48385

14.017109

14.659741

14.666402

14.662699

13.940142

14.564148

13.426683

12.765871

13.154447

13.14543

13.360988

12.892975

13.644627

13.195485

13.315449

13.302315

13.135411

1212.0505

Olof Ohlsson Sax

Riccardo Borsato, Olof Ohlsson Sax and Alessandro Sfondrini

All-loop Bethe ansatz equations for AdS3/CFT2

26 pages, 2 figures. v2: references added. v3: changed notation for the crossing equations, added references. Published version

JHEP 1304 (2013) 116

10.1007/JHEP04(2013)116

ITP-UU-12/48; SPIN-12/45

hep-th

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

Using the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/CFT2, we propose a new set of all-loop Bethe equations for the system. These equations differ from the ones previously found in the literature by the choice of relative grading between the two copies of the d(2,1;alpha) superalgebra, and involve four undetermined scalar factors that play the role of dressing phases. Imposing crossing symmetry and comparing with the near-BMN form of the S-matrix found in the literature, we find several novel features. In particular, the scalar factors must differ from the Beisert-Eden-Staudacher phase, and should couple nodes of different masses to each other. In the semiclassical limit the phases are given by a suitable generalization of Arutyunov-Frolov-Staudacher phase.

[ { "created": "Mon, 3 Dec 2012 19:38:48 GMT", "version": "v1" }, { "created": "Mon, 17 Dec 2012 12:19:36 GMT", "version": "v2" }, { "created": "Thu, 25 Apr 2013 08:54:32 GMT", "version": "v3" } ]

2015-06-12

[ [ "Borsato", "Riccardo", "" ], [ "Sax", "Olof Ohlsson", "" ], [ "Sfondrini", "Alessandro", "" ] ]

Using the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/CFT2, we propose a new set of all-loop Bethe equations for the system. These equations differ from the ones previously found in the literature by the choice of relative grading between the two copies of the d(2,1;alpha) superalgebra, and involve four undetermined scalar factors that play the role of dressing phases. Imposing crossing symmetry and comparing with the near-BMN form of the S-matrix found in the literature, we find several novel features. In particular, the scalar factors must differ from the Beisert-Eden-Staudacher phase, and should couple nodes of different masses to each other. In the semiclassical limit the phases are given by a suitable generalization of Arutyunov-Frolov-Staudacher phase.

8.64523

6.808899

11.817364

7.095074

7.146417

7.310756

6.684784

6.896791

6.765807

13.046377

6.899881

7.342196

8.4308

7.400989

7.394858

7.284397

7.665195

7.404564

7.390263

8.701594

7.450115

1306.3796

Valentin Reys

Sameer Murthy and Valentin Reys

Quantum black hole entropy and the holomorphic prepotential of N=2 supergravity

22 pages

null

10.1007/JHEP10(2013)099

null

hep-th

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

Supersymmetric terms in the effective action of N=2 supergravity in four dimensions are generically classified into chiral-superspace integrals and full-superspace integrals. For a theory of N=2 vector multiplets coupled to supergravity, a special class of couplings is given by chiral-superspace integrals that are governed by a holomorphic prepotential function. The quantum entropy of BPS black holes in such theories depends on the prepotential according to a known integral formula. We show, using techniques of localization, that a large class of full-superspace integrals in the effective action of N=2 supergravity do not contribute to the quantum entropy of BPS black holes at any level in the derivative expansion. Our work extends similar results for semi-classical supersymmetric black hole entropy, and goes towards providing an explanation of why the prepotential terms capture the exact microscopic quantum black hole entropy.

[ { "created": "Mon, 17 Jun 2013 10:08:28 GMT", "version": "v1" }, { "created": "Tue, 9 Jul 2013 09:09:34 GMT", "version": "v2" } ]

2020-11-13

[ [ "Murthy", "Sameer", "" ], [ "Reys", "Valentin", "" ] ]

Supersymmetric terms in the effective action of N=2 supergravity in four dimensions are generically classified into chiral-superspace integrals and full-superspace integrals. For a theory of N=2 vector multiplets coupled to supergravity, a special class of couplings is given by chiral-superspace integrals that are governed by a holomorphic prepotential function. The quantum entropy of BPS black holes in such theories depends on the prepotential according to a known integral formula. We show, using techniques of localization, that a large class of full-superspace integrals in the effective action of N=2 supergravity do not contribute to the quantum entropy of BPS black holes at any level in the derivative expansion. Our work extends similar results for semi-classical supersymmetric black hole entropy, and goes towards providing an explanation of why the prepotential terms capture the exact microscopic quantum black hole entropy.

6.90645

6.659417

7.855807

6.063815

6.522419

6.152396

6.413999

6.156743

6.116002

8.257654

6.191206

6.307368

6.961363

6.207146

6.388365

6.230219

6.259933

6.334558

6.254737

6.787658

6.267853

hep-th/0006087

Dongsu Bak

Dongsu Bak, Sung Ku Kim, Kwang-Sup Soh and Jae Hyung Yee

Noncommutative Field Theories and Smooth Commutative Limits

8 pages, 2 figures

Phys.Rev. D63 (2001) 047701

10.1103/PhysRevD.63.047701

UOSTP-00-103

hep-th

null

We consider two model field theories on a noncommutative plane that have smooth commutative limits. One is the single-component fermion theory with quartic interaction that vanishes identically in the commutative limit. The other is a scalar-fermion theory, which extends the scalar field theory with quartic interaction by adding a fermion. We compute the bound state energies and the two particle scattering amplitudes exactly.

[ { "created": "Tue, 13 Jun 2000 03:54:28 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bak", "Dongsu", "" ], [ "Kim", "Sung Ku", "" ], [ "Soh", "Kwang-Sup", "" ], [ "Yee", "Jae Hyung", "" ] ]

We consider two model field theories on a noncommutative plane that have smooth commutative limits. One is the single-component fermion theory with quartic interaction that vanishes identically in the commutative limit. The other is a scalar-fermion theory, which extends the scalar field theory with quartic interaction by adding a fermion. We compute the bound state energies and the two particle scattering amplitudes exactly.

8.289203

7.229998

8.061684

7.20613

7.337011

7.465462

7.402893

6.960464

7.863406

8.355503

7.156977

7.232828

7.915401

7.320786

7.402549

7.188185

7.155248

7.186272

7.396768

7.866133

7.483325

1911.05099

Mritunjay Verma

Raffaele Marotta and Mritunjay Verma

Soft Theorems from Compactification

22 pages + appendix

null

10.1007/JHEP02(2020)008

null

hep-th gr-qc

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

We analyze the single subleading soft graviton theorem in $(d+1)$ dimensions under compactification on $S^1$. This produces the single soft theorems for the graviton, vector and scalar fields in $d$ dimension. For the compactification of $11$-dimensional supergravity theory, this gives the soft factorization properties of the single graviton, dilaton and RR 1-form fields in type IIA string theory in ten dimensions. For the case of the soft vector field, we also explicitly check the result obtained from compactification by computing the amplitudes with external massive spin two and massless finite energy states interacting with soft vector field. The former are the Kaluza-Klein excitations of the $d+1$ dimensional metric. Describing the interaction of the KK-modes with the vector field at each level by the minimally coupled Fierz-Pauli Lagrangian, we find agreement with the results obtained from the compactification if the gyromagnetic ratio in the minimally coupled Fierz-Pauli Lagrangian is taken to be $g=1$.

[ { "created": "Tue, 12 Nov 2019 19:05:51 GMT", "version": "v1" }, { "created": "Wed, 11 Dec 2019 15:18:08 GMT", "version": "v2" } ]

2020-03-18

[ [ "Marotta", "Raffaele", "" ], [ "Verma", "Mritunjay", "" ] ]

We analyze the single subleading soft graviton theorem in $(d+1)$ dimensions under compactification on $S^1$. This produces the single soft theorems for the graviton, vector and scalar fields in $d$ dimension. For the compactification of $11$-dimensional supergravity theory, this gives the soft factorization properties of the single graviton, dilaton and RR 1-form fields in type IIA string theory in ten dimensions. For the case of the soft vector field, we also explicitly check the result obtained from compactification by computing the amplitudes with external massive spin two and massless finite energy states interacting with soft vector field. The former are the Kaluza-Klein excitations of the $d+1$ dimensional metric. Describing the interaction of the KK-modes with the vector field at each level by the minimally coupled Fierz-Pauli Lagrangian, we find agreement with the results obtained from the compactification if the gyromagnetic ratio in the minimally coupled Fierz-Pauli Lagrangian is taken to be $g=1$.

7.730829

7.550875

7.813644

7.03568

7.026329

7.170308

7.603726

7.118341

6.957793

9.174818

7.013721

6.88371

7.517493

6.985421

6.940381

6.993345

6.670338

6.636526

6.989378

7.375987

6.815866

2203.04283

Chia-Hsien Shen

Aneesh V. Manohar, Alexander K. Ridgway, Chia-Hsien Shen

Radiated Angular Momentum and Dissipative Effects in Classical Scattering

5 pages +refs, two figures and one Mathematica ancillary file for table I; minor revision and fixed a typo in the definition of \Delta b, matched to PRL version in v2

Phys. Rev. Lett. 129, 121601, 2022

10.1103/PhysRevLett.129.121601

null

hep-th gr-qc

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

We present a new formula for the angular momentum $J^{\mu\nu}$ carried away by gravitational radiation in classical scattering. This formula, combined with the known expression for the radiated linear momentum $P^\mu$, completes the set of radiated Poincare charges due to scattering. We parametrize $P^\mu$ and $J^{\mu\nu}$ by non-perturbative form factors and derive exact relations using the Poincare algebra. There is a contribution to $J^{\mu\nu}$ due to static (zero-frequency) modes, which can be derived from Weinberg's soft theorem. Using tools from scattering amplitudes and effective field theory, we calculate the radiated $J^{\mu\nu}$ due to the scattering of two spinless particles to third order in Newton's constant $G$, but to all orders in velocity. Our form-factor analysis elucidates a novel relation found by Bini, Damour, and Geralico between energy and angular momentum loss at $\mathcal{O}(G^3)$. Our new results have several nontrivial implications for binary scattering at $\mathcal{O}(G^4)$. We give a procedure to bootstrap an effective radiation reaction force from the loss of Poincare charges due to scattering.

[ { "created": "Tue, 8 Mar 2022 18:57:16 GMT", "version": "v1" }, { "created": "Fri, 7 Oct 2022 20:08:51 GMT", "version": "v2" } ]

2022-10-11

[ [ "Manohar", "Aneesh V.", "" ], [ "Ridgway", "Alexander K.", "" ], [ "Shen", "Chia-Hsien", "" ] ]

We present a new formula for the angular momentum $J^{\mu\nu}$ carried away by gravitational radiation in classical scattering. This formula, combined with the known expression for the radiated linear momentum $P^\mu$, completes the set of radiated Poincare charges due to scattering. We parametrize $P^\mu$ and $J^{\mu\nu}$ by non-perturbative form factors and derive exact relations using the Poincare algebra. There is a contribution to $J^{\mu\nu}$ due to static (zero-frequency) modes, which can be derived from Weinberg's soft theorem. Using tools from scattering amplitudes and effective field theory, we calculate the radiated $J^{\mu\nu}$ due to the scattering of two spinless particles to third order in Newton's constant $G$, but to all orders in velocity. Our form-factor analysis elucidates a novel relation found by Bini, Damour, and Geralico between energy and angular momentum loss at $\mathcal{O}(G^3)$. Our new results have several nontrivial implications for binary scattering at $\mathcal{O}(G^4)$. We give a procedure to bootstrap an effective radiation reaction force from the loss of Poincare charges due to scattering.

6.597897

6.620107

6.475522

5.991713

6.49138

6.508039

6.646384

6.060246

6.523302

6.900784

6.263135

6.575855

6.364164

6.186491

6.365621

6.33145

6.229755

6.269393

6.131598

6.637297

6.311254

1412.4084

Diego Hernan Correa

Jeremias Aguilera-Damia, Diego H. Correa and Guillermo A. Silva

Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM

28 pages

null

10.1007/JHEP03(2015)002

null

hep-th

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

We compute the 1-loop partition function for strings in $AdS_4\times\mathbb{CP}^3$, whose worldsheets end along a line with small cusp angles in the boundary of AdS. We obtain these 1-loop results in terms of the vacuum energy for on-shell modes. Our results verify the proposal by Lewkowycz and Maldacena in arXiv:1312.5682 for the exact Bremsstrahlung function up to the next to leading order in the strong coupling expansion. The agreement is observed for cusps distorting either the 1/2 BPS or the 1/6 BPS Wilson line.

[ { "created": "Fri, 12 Dec 2014 18:54:41 GMT", "version": "v1" } ]

2015-06-23

[ [ "Aguilera-Damia", "Jeremias", "" ], [ "Correa", "Diego H.", "" ], [ "Silva", "Guillermo A.", "" ] ]

We compute the 1-loop partition function for strings in $AdS_4\times\mathbb{CP}^3$, whose worldsheets end along a line with small cusp angles in the boundary of AdS. We obtain these 1-loop results in terms of the vacuum energy for on-shell modes. Our results verify the proposal by Lewkowycz and Maldacena in arXiv:1312.5682 for the exact Bremsstrahlung function up to the next to leading order in the strong coupling expansion. The agreement is observed for cusps distorting either the 1/2 BPS or the 1/6 BPS Wilson line.

9.090125

8.663468

11.797233

8.816955

8.883541

9.710846

8.830462

8.530501

9.309743

12.74597

8.897476

8.547694

9.483629

8.556027

8.349783

8.537775

8.863961

8.413173

8.546452

9.759335

8.307016

2002.03074

Romulo Rougemont

Romulo Rougemont (Rio de Janeiro State U.)

Diagonal and Hall holographic conductivities dual to a bulk condensate of magnetic monopoles

22 pages, 12 figures, version accepted for publication in European Physical Journal C

Eur. Phys. J. C 80, 470 (2020)

10.1140/epjc/s10052-020-8024-5

null

hep-th cond-mat.str-el

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

By employing the holographic operator mixing technique to deal with coupled perturbations in the gauge/gravity duality, I numerically compute the real and imaginary parts of the diagonal and Hall AC conductivities in a strongly coupled quantum field theory dual to a bulk condensate of magnetic monopoles. The results obtained show that a conclusion previously derived in the literature, namely, the vanishing of holographic DC conductivities in 3-dimensional strongly coupled quantum field theories dual to a 4-dimensional bulk magnetic monopole condensate, also applies to the calculation of diagonal and Hall conductivities in the presence of a topological $\theta$-term. Therefore, the condensation of magnetic monopoles in the bulk is suggested as a rather general and robust mechanism to generate dual strongly coupled quantum field theories with zero DC conductivities. The interplay between frequency, $\theta$-angle and the characteristic mass scale of the monopole condensate on the results for the conductivities is also investigated.

[ { "created": "Sat, 8 Feb 2020 03:05:36 GMT", "version": "v1" }, { "created": "Thu, 7 May 2020 01:28:20 GMT", "version": "v2" } ]

2020-05-29

[ [ "Rougemont", "Romulo", "", "Rio de Janeiro State U." ] ]

By employing the holographic operator mixing technique to deal with coupled perturbations in the gauge/gravity duality, I numerically compute the real and imaginary parts of the diagonal and Hall AC conductivities in a strongly coupled quantum field theory dual to a bulk condensate of magnetic monopoles. The results obtained show that a conclusion previously derived in the literature, namely, the vanishing of holographic DC conductivities in 3-dimensional strongly coupled quantum field theories dual to a 4-dimensional bulk magnetic monopole condensate, also applies to the calculation of diagonal and Hall conductivities in the presence of a topological $\theta$-term. Therefore, the condensation of magnetic monopoles in the bulk is suggested as a rather general and robust mechanism to generate dual strongly coupled quantum field theories with zero DC conductivities. The interplay between frequency, $\theta$-angle and the characteristic mass scale of the monopole condensate on the results for the conductivities is also investigated.

7.764596

7.593899

7.58968

7.332821

8.190965

7.924101

7.835673

7.750473

7.9619

8.057405

7.431121

7.139843

7.38578

7.23096

7.288045

7.54927

7.63916

7.478754

7.308127

7.341845

7.149592

1108.0195

Aram Saharian

A.A. Saharian, A.S. Kotanjyan

Repulsive Casimir-Polder forces from cosmic strings

16 pages, 2 figures

Eur. Phys. J. C 71 (2011) 1765

10.1140/epjc/s10052-011-1765-4

null

hep-th astro-ph.CO quant-ph

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

We investigate the Casimir-Polder force acting on a polarizable microparticle in the geometry of a straight cosmic string. In order to develop this analysis we evaluate the electromagnetic field Green tensor on the imaginary frequency axis. The expression for the Casimir-Polder force is derived in the general case of anisotropic polarizability. In dependence of the eigenvalues for the polarizability tensor and of the orientation of its principal axes, the Casimir-Polder force can be either repulsive or attractive. Moreover, there are situations where the force changes the sign with separation. We show that for an isotropic polarizability tensor the force is always repulsive. At large separations between the microparticle and the string, the force varies inversely as the fifth power of the distance. In the non-retarded regime, corresponding to separations smaller than the relevant transition wavelengths, the force decays as the inverse fourth power of the distance. In the case of anisotropic polarizability, the dependence of the Casimir-Polder potential on the orientation of the polarizability tensor principal axes also leads to the moment of force acting on the particle.

[ { "created": "Sun, 31 Jul 2011 18:20:09 GMT", "version": "v1" } ]

2011-12-01

[ [ "Saharian", "A. A.", "" ], [ "Kotanjyan", "A. S.", "" ] ]

We investigate the Casimir-Polder force acting on a polarizable microparticle in the geometry of a straight cosmic string. In order to develop this analysis we evaluate the electromagnetic field Green tensor on the imaginary frequency axis. The expression for the Casimir-Polder force is derived in the general case of anisotropic polarizability. In dependence of the eigenvalues for the polarizability tensor and of the orientation of its principal axes, the Casimir-Polder force can be either repulsive or attractive. Moreover, there are situations where the force changes the sign with separation. We show that for an isotropic polarizability tensor the force is always repulsive. At large separations between the microparticle and the string, the force varies inversely as the fifth power of the distance. In the non-retarded regime, corresponding to separations smaller than the relevant transition wavelengths, the force decays as the inverse fourth power of the distance. In the case of anisotropic polarizability, the dependence of the Casimir-Polder potential on the orientation of the polarizability tensor principal axes also leads to the moment of force acting on the particle.

4.747151

4.466111

4.978243

4.239164

4.156346

4.595506

4.335555

4.410173

4.469173

5.449901

4.41722

4.345675

4.664428

4.527553

4.512958

4.539073

4.488116

4.571134

4.574313

5.004422

4.573238

hep-th/0701240

Zarembo

Thomas Klose, Konstantin Zarembo

Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes

9 pages, 1 figure; v2: reference added; v3: misprint in (3.6) corrected; v4: typo in (3.4) corrected; v5: new form of the action

JHEP 0702:071,2007

10.1088/1126-6708/2007/02/071

ITEP-TH-06/07, UUITP-02/07

hep-th

null

We compute one-loop S-matrix in the reduced sigma-model which describes AdS_5 x S^5 string theory in the near-flat-space limit. The result agrees with the corresponding limit of the S-matrix in the full sigma-model, which demonstrates the consistency of the reduction at the quantum level.

[ { "created": "Thu, 25 Jan 2007 20:59:46 GMT", "version": "v1" }, { "created": "Wed, 31 Jan 2007 08:53:22 GMT", "version": "v2" }, { "created": "Sat, 3 Feb 2007 10:14:52 GMT", "version": "v3" }, { "created": "Thu, 8 Feb 2007 21:52:59 GMT", "version": "v4" }, { "created": "Mon, 30 Apr 2007 08:10:34 GMT", "version": "v5" } ]

2010-10-27

[ [ "Klose", "Thomas", "" ], [ "Zarembo", "Konstantin", "" ] ]

We compute one-loop S-matrix in the reduced sigma-model which describes AdS_5 x S^5 string theory in the near-flat-space limit. The result agrees with the corresponding limit of the S-matrix in the full sigma-model, which demonstrates the consistency of the reduction at the quantum level.

6.284649

4.375716

7.149115

4.9724

5.10412

4.890677

5.009506

4.457266

5.16802

7.589562

4.85957

5.323338

6.192907

5.297359

5.451985

5.215853

5.198696

5.130243

5.237752

6.294486

5.038427

1502.05258

Matin Mojaza

Paolo Di Vecchia, Raffaele Marotta, Matin Mojaza

Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string

17 pages + 10 pages Appendix. Several clarifying comments added in this version

null

NORDITA-2015-021

hep-th

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

We study the behavior of the scattering amplitudes of the bosonic string involving a soft massless state (graviton, dilaton and Kalb-Ramond antisymmetric tensor) and closed string tachyons or other closed string massless states. For a soft graviton we confirm the results, obtained in Ref. [24] using just gauge invariance, up to terms of ${\cal O}(q^1)$ for external tachyons and up to terms of ${\cal O} (q^0)$ for external massless closed string states. Furthermore, we also derive the behavior of the scattering amplitude when a dilaton or a Kalb-Ramond field becomes soft. These results are new and cannot, to our knowledge, be derived by using gauge invariance. It turns out, in the cases examined, that the soft amplitude for a dilaton or for an antisymmetric tensor is obtained by saturating the tensor, $M_{\mu \nu}$, derived from gauge invariance for gravitons, with their respective polarization tensors. Thus extra terms that could have appeared in $M_{\mu \nu}$ in the case of a soft dilaton, in fact do not appear.

[ { "created": "Wed, 18 Feb 2015 14:51:02 GMT", "version": "v1" }, { "created": "Tue, 31 Mar 2015 11:42:50 GMT", "version": "v2" } ]

2015-04-01

[ [ "Di Vecchia", "Paolo", "" ], [ "Marotta", "Raffaele", "" ], [ "Mojaza", "Matin", "" ] ]

We study the behavior of the scattering amplitudes of the bosonic string involving a soft massless state (graviton, dilaton and Kalb-Ramond antisymmetric tensor) and closed string tachyons or other closed string massless states. For a soft graviton we confirm the results, obtained in Ref. [24] using just gauge invariance, up to terms of ${\cal O}(q^1)$ for external tachyons and up to terms of ${\cal O} (q^0)$ for external massless closed string states. Furthermore, we also derive the behavior of the scattering amplitude when a dilaton or a Kalb-Ramond field becomes soft. These results are new and cannot, to our knowledge, be derived by using gauge invariance. It turns out, in the cases examined, that the soft amplitude for a dilaton or for an antisymmetric tensor is obtained by saturating the tensor, $M_{\mu \nu}$, derived from gauge invariance for gravitons, with their respective polarization tensors. Thus extra terms that could have appeared in $M_{\mu \nu}$ in the case of a soft dilaton, in fact do not appear.

5.687341

5.910372

6.181322

5.691452

6.070954

6.051167

5.712296

5.672024

5.624202

6.522263

5.747212

5.715765

5.685529

5.511556

5.499455

5.653907

5.730029

5.579602

5.46945

5.628866

5.583306

1908.07531

Mariana Carrillo-Gonzalez

Mariana Carrillo-Gonzalez, Riccardo Penco, Mark Trodden

Shift symmetries, soft limits, and the double copy beyond leading order

minor typos fixed

Phys. Rev. D 102, 105011 (2020)

10.1103/PhysRevD.102.105011

null

hep-th

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

In this paper, we compute the higher derivative amplitudes arising from shift symmetric-invariant actions for both the non-linear sigma model and the special galileon symmetries, and provide explicit expressions for their Lagrangians. We find that, beyond leading order, the equivalence between shift symmetries, enhanced single soft limits, and compatibility with the double copy procedure breaks down. In particular, we have shown that the most general even-point amplitudes of a colored-scalar satisfying the Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations are compatible with the non-linear sigma model symmetries. Similarly, their double copy is compatible with the special galileon symmetries. We showed this by fixing the dimensionless coefficients of these effective field theories in such a way that the arising amplitudes are compatible with the double copy procedure. We find that this can be achieved for the even-point amplitudes, but not for the odd ones. These results imply that not all operators invariant under the shift symmetries under consideration are compatible with the double copy.

[ { "created": "Tue, 20 Aug 2019 18:00:01 GMT", "version": "v1" }, { "created": "Fri, 11 Oct 2019 18:54:52 GMT", "version": "v2" }, { "created": "Thu, 5 Mar 2020 14:58:58 GMT", "version": "v3" }, { "created": "Wed, 22 Jul 2020 00:15:19 GMT", "version": "v4" }, { "created": "Wed, 21 Jul 2021 08:42:39 GMT", "version": "v5" } ]

2021-07-22

[ [ "Carrillo-Gonzalez", "Mariana", "" ], [ "Penco", "Riccardo", "" ], [ "Trodden", "Mark", "" ] ]

In this paper, we compute the higher derivative amplitudes arising from shift symmetric-invariant actions for both the non-linear sigma model and the special galileon symmetries, and provide explicit expressions for their Lagrangians. We find that, beyond leading order, the equivalence between shift symmetries, enhanced single soft limits, and compatibility with the double copy procedure breaks down. In particular, we have shown that the most general even-point amplitudes of a colored-scalar satisfying the Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations are compatible with the non-linear sigma model symmetries. Similarly, their double copy is compatible with the special galileon symmetries. We showed this by fixing the dimensionless coefficients of these effective field theories in such a way that the arising amplitudes are compatible with the double copy procedure. We find that this can be achieved for the even-point amplitudes, but not for the odd ones. These results imply that not all operators invariant under the shift symmetries under consideration are compatible with the double copy.

8.328759

7.444545

9.162458

7.505911

8.072643

7.824298

7.55063

7.554802

7.314844

8.905516

7.544793

7.801621

8.193447

7.925017

7.949719

7.946241

7.967314

7.9157

7.971798

8.151263

7.655218

hep-th/9404175

Washington Taylor

W. Taylor

Counting Strings and Phase Transitions in 2D QCD

22 pages, preprint MIT-CTP-2297. 7 figures automatically included, 2 uuencoded. (The relationship between divergences in the string expansion and phase transitions is more clearly explicated and references are expanded.)

null

hep-th

null

Several string theories related to QCD in two dimensions are studied. For each of these theories the large $N$ free energy on a (target) sphere of area $A$ is calculated. By considering theories with different subsets of the geometrical structures involved in the full QCD${}_2$ string theory, the different contributions of these structures to the string free energy are calculated using both analytic and numerical methods. The equivalence between the leading terms in the $SU(N)$ and $U(N)$ free energies is simply demonstrated from the string formulation. It is shown that when $\Omega$-points are removed from the theory, the free energy is convergent for small and large values of $A$ but divergent in an intermediate range. Numerical results indicate that the free energy for the full QCD${}_2$ string fails to converge at the Douglas-Kazakov phase transition point. Similar results for a single chiral sector of the theory, such as has recently been studied by Cordes, Moore, and Ramgoolam, indicate that there are three distinct phases in that theory. These results indicate that from the point of view of the strong coupling phase, the phase transition in the full QCD${}_2$ string arises from the entropy of branch-point singularities.

[ { "created": "Thu, 28 Apr 1994 18:28:23 GMT", "version": "v1" }, { "created": "Tue, 3 May 1994 20:52:58 GMT", "version": "v2" } ]

2008-02-03

[ [ "Taylor", "W.", "" ] ]

Several string theories related to QCD in two dimensions are studied. For each of these theories the large $N$ free energy on a (target) sphere of area $A$ is calculated. By considering theories with different subsets of the geometrical structures involved in the full QCD${}_2$ string theory, the different contributions of these structures to the string free energy are calculated using both analytic and numerical methods. The equivalence between the leading terms in the $SU(N)$ and $U(N)$ free energies is simply demonstrated from the string formulation. It is shown that when $\Omega$-points are removed from the theory, the free energy is convergent for small and large values of $A$ but divergent in an intermediate range. Numerical results indicate that the free energy for the full QCD${}_2$ string fails to converge at the Douglas-Kazakov phase transition point. Similar results for a single chiral sector of the theory, such as has recently been studied by Cordes, Moore, and Ramgoolam, indicate that there are three distinct phases in that theory. These results indicate that from the point of view of the strong coupling phase, the phase transition in the full QCD${}_2$ string arises from the entropy of branch-point singularities.

9.030031

9.10825

10.03777

9.111019

8.880626

9.228432

9.348322

8.845805

8.661052

10.900628

9.012962

8.968962

9.154494

8.927324

9.029742

8.981726

9.012138

8.862205

8.978234

9.17691

8.94515

hep-th/0608134

Alexei Strelchenko

Heat kernel of non-minimal gauge field kinetic operators on Moyal plane

21 pages, misprints corrected

Int.J.Mod.Phys.A22:181-202,2007

10.1142/S0217751X07034921

null

hep-th

null

We generalize the Endo formula originally developed for the computation of the heat kernel asymptotic expansion for non-minimal operators in commutative gauge theories to the noncommutative case. In this way, the first three non-zero heat trace coefficients of the non-minimal U(N) gauge field kinetic operator on the Moyal plane taken in an arbitrary background are calculated. We show that the non-planar part of the heat trace asymptotics is determined by U(1) sector of the gauge model. The non-planar or mixed heat kernel coefficients are shown to be gauge-fixing dependent in any dimension of space-time. In the case of the degenerate deformation parameter the lowest mixed coefficients in the heat expansion produce non-local gauge-fixing dependent singularities of the one-loop effective action that destroy the renormalizability of the U(N) model at one-loop level. The twisted-gauge transformation approach is discussed.

[ { "created": "Fri, 18 Aug 2006 13:46:35 GMT", "version": "v1" }, { "created": "Tue, 29 Aug 2006 13:24:57 GMT", "version": "v2" }, { "created": "Wed, 11 Oct 2006 15:54:08 GMT", "version": "v3" }, { "created": "Tue, 3 Jul 2007 12:54:24 GMT", "version": "v4" } ]

2008-11-26

[ [ "Strelchenko", "Alexei", "" ] ]

We generalize the Endo formula originally developed for the computation of the heat kernel asymptotic expansion for non-minimal operators in commutative gauge theories to the noncommutative case. In this way, the first three non-zero heat trace coefficients of the non-minimal U(N) gauge field kinetic operator on the Moyal plane taken in an arbitrary background are calculated. We show that the non-planar part of the heat trace asymptotics is determined by U(1) sector of the gauge model. The non-planar or mixed heat kernel coefficients are shown to be gauge-fixing dependent in any dimension of space-time. In the case of the degenerate deformation parameter the lowest mixed coefficients in the heat expansion produce non-local gauge-fixing dependent singularities of the one-loop effective action that destroy the renormalizability of the U(N) model at one-loop level. The twisted-gauge transformation approach is discussed.

10.744356

11.601583

11.262891

10.98068

11.652271

10.842668

11.617231

10.337934

11.044155

12.616255

10.287607

10.777373

10.435286

10.236187

10.516255

10.627739

10.483121

10.765967

10.342973

10.886255

10.070166

hep-th/9504034

Tomasz Taylor

I. Antoniadis, S. Ferrara, E. Gava, K.S. Narain and T.R. Taylor

Perturbative Prepotential and Monodromies in N=2 Heterotic Superstring

39 pages, LaTeX, no figures; section 6 expanded to include explicit construction of the monodromy group in a (4,0) orbifold example

Nucl.Phys. B447 (1995) 35-61

10.1016/0550-3213(95)00240-S

CERN-TH/95-43, UCLA 95/TEP/7, IC/95/34, CPTH-RR352.0395, NUB-3118

hep-th

null

We discuss the prepotential describing the effective field theory of N=2 heterotic superstring models. At the one loop-level the prepotential develops logarithmic singularities due to the appearance of charged massless states at particular surfaces in the moduli space of vector multiplets. These singularities modify the classical duality symmetry group which now becomes a representation of the fundamental group of the moduli space minus the singular surfaces. For the simplest two-moduli case, this fundamental group turns out to be a certain braid group and we determine the resulting full duality transformations of the prepotential, which are exact in perturbation theory.

[ { "created": "Fri, 7 Apr 1995 03:11:40 GMT", "version": "v1" }, { "created": "Sun, 9 Apr 1995 20:49:40 GMT", "version": "v2" } ]

2009-10-28

[ [ "Antoniadis", "I.", "" ], [ "Ferrara", "S.", "" ], [ "Gava", "E.", "" ], [ "Narain", "K. S.", "" ], [ "Taylor", "T. R.", "" ] ]

We discuss the prepotential describing the effective field theory of N=2 heterotic superstring models. At the one loop-level the prepotential develops logarithmic singularities due to the appearance of charged massless states at particular surfaces in the moduli space of vector multiplets. These singularities modify the classical duality symmetry group which now becomes a representation of the fundamental group of the moduli space minus the singular surfaces. For the simplest two-moduli case, this fundamental group turns out to be a certain braid group and we determine the resulting full duality transformations of the prepotential, which are exact in perturbation theory.

8.458333

8.427081

8.911003

8.442091

8.662542

8.721816

8.620385

8.910747

8.532821

10.339627

8.240376

8.617917

8.550943

8.252406

8.496294

8.413682

8.094654

8.092008

8.316552

8.691615

7.796751

hep-th/0208213

Joanna Gonera

Piotr Kosinski, Katarzyna Bolonek

Minimalisation of uncertainty relations in noncommutative quantum mechanics

14 pages

Acta Phys.Polon. B34 (2003) 2575-2588

null

hep-th

null

The explicit constrtuction of states saturating uncertainty relations following from basic commutation rules of NCQM is given both in Fock space and coordinate representation

[ { "created": "Thu, 29 Aug 2002 13:14:09 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kosinski", "Piotr", "" ], [ "Bolonek", "Katarzyna", "" ] ]

The explicit constrtuction of states saturating uncertainty relations following from basic commutation rules of NCQM is given both in Fock space and coordinate representation

68.402641

44.028641

45.936031

48.739025

56.234371

45.087452

55.070915

50.039082

44.721905

64.032387

50.785137

45.741833

52.740948

48.093716

48.42989

46.751774

46.1595

42.928822

45.874928

58.972439

49.680283

1710.00437

Fulvio Sbis\`a

Thin limit of the 6D Cascading DGP model

62 pages, 6 figures, PDFLaTeX, version accepted for publication

JCAP05(2018)062

10.1088/1475-7516/2018/05/062

null

hep-th gr-qc

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

A thin limit description of the 6D Cascading DGP model is derived, starting from a configuration where both the codimension-1 and the codimension-2 branes are thick. Postulating that the thicknesses of the two branes obey a hierarchic relation, the thin limit is executed in two steps. First the thin limit of the codimension-1 brane is executed, obtaining a system where a "ribbon" codimension-2 brane is embedded inside a thin codimension-1 brane with induced gravity, and then the thin limit of the ribbon brane is considered. By proposing a geometric ansatz on the limit configuration, the junction conditions which are to hold at the thin codimension-2 brane are derived. The latters are fully non-perturbative and covariant and, together with the Israel junction conditions at the codimension-1 brane and the Einstein equations in the bulk, constitute the looked-for thin limit formulation of the 6D Cascading DGP model. It is commented on how wide is the class of thin source configurations which can be placed on the thin codimension-2 brane.

[ { "created": "Sun, 1 Oct 2017 23:42:40 GMT", "version": "v1" }, { "created": "Wed, 4 Oct 2017 20:14:20 GMT", "version": "v2" }, { "created": "Wed, 16 May 2018 23:10:30 GMT", "version": "v3" } ]

2018-05-29

[ [ "Sbisà", "Fulvio", "" ] ]

A thin limit description of the 6D Cascading DGP model is derived, starting from a configuration where both the codimension-1 and the codimension-2 branes are thick. Postulating that the thicknesses of the two branes obey a hierarchic relation, the thin limit is executed in two steps. First the thin limit of the codimension-1 brane is executed, obtaining a system where a "ribbon" codimension-2 brane is embedded inside a thin codimension-1 brane with induced gravity, and then the thin limit of the ribbon brane is considered. By proposing a geometric ansatz on the limit configuration, the junction conditions which are to hold at the thin codimension-2 brane are derived. The latters are fully non-perturbative and covariant and, together with the Israel junction conditions at the codimension-1 brane and the Einstein equations in the bulk, constitute the looked-for thin limit formulation of the 6D Cascading DGP model. It is commented on how wide is the class of thin source configurations which can be placed on the thin codimension-2 brane.

7.799828

7.3534

7.799497

6.893462

7.891738

7.466724

7.331055

7.024424

7.278705

8.132571

7.196289

7.273185

7.30929

7.363028

7.420927

7.518328

7.486874

7.274074

7.564122

7.040159

7.338357

hep-th/9707142

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Effective Potential for D-brane in Constant Electromagnetic Field

LaTeX file,17 pages, few misprints and mistakes are corrected

Int.J.Mod.Phys.A13:2165-2178,1998; Erratum-ibid.A13:4777,1998

10.1142/S0217751X98000974

null

hep-th

null

We discuss the one-loop effective potential and static (large $d$) potential for toroidal D-brane described by DBI-action in constant magnetic and in constant electric fields. Explicit calculation is done for membrane case ($p=2$) for both types of external fields and in case of static potential for an arbitrary $p$. In the case of one-loop potential it is found that the presence of magnetic background may stabilize D-brane giving the possibility for non-pointlike ground state configuration. On the same time, constant electrical field acts against stabilization and the correspondent one-loop potential is unbounded from below. The properties of static potential which also has stable minimum are described in detail. The back-reaction of quantum gauge fields to one-loop potential is also evaluated.

[ { "created": "Wed, 16 Jul 1997 08:36:32 GMT", "version": "v1" }, { "created": "Mon, 20 Oct 1997 01:46:53 GMT", "version": "v2" }, { "created": "Sun, 12 Apr 1998 09:00:55 GMT", "version": "v3" } ]

2009-09-17

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

We discuss the one-loop effective potential and static (large $d$) potential for toroidal D-brane described by DBI-action in constant magnetic and in constant electric fields. Explicit calculation is done for membrane case ($p=2$) for both types of external fields and in case of static potential for an arbitrary $p$. In the case of one-loop potential it is found that the presence of magnetic background may stabilize D-brane giving the possibility for non-pointlike ground state configuration. On the same time, constant electrical field acts against stabilization and the correspondent one-loop potential is unbounded from below. The properties of static potential which also has stable minimum are described in detail. The back-reaction of quantum gauge fields to one-loop potential is also evaluated.

14.515219

12.66853

16.653755

12.92506

14.206165

13.701966

13.58598

12.722143

12.484653

16.211023

12.932832

13.025399

14.85463

13.980202

14.173311

14.125604

13.635997

13.746098

13.963413

14.485929

13.301072

1612.01550

Akash Jain

Nabamita Banerjee, Suvankar Dutta and Akash Jain

First Order Galilean Superfluid Dynamics

50+1 pages

Phys. Rev. D 96, 065004 (2017)

10.1103/PhysRevD.96.065004

DCPT-16/51

hep-th cond-mat.stat-mech physics.flu-dyn

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

We study dynamics of (anomalous) Galilean superfluid up to first order in derivative expansion, both in parity-even and parity-odd sectors. We construct a relativistic system -- null superfluid, which is a null fluid (introduced in [arXiv:1509.04718]) with a spontaneously broken global $U(1)$ symmetry. A null superfluid is in one to one correspondence with Galilean superfluid in one lower dimension, i.e. they have same symmetries, thermodynamics, constitutive relations and are related to each other by a mere choice of basis. The correspondence is based on null reduction, which is known to reduce the Poincar\'{e} symmetry of a theory to Galilean symmetry in one lower dimension. To perform this analysis, we use offshell formalism of (super)fluid dynamics, adopting it appropriately to null (super)fluids.

[ { "created": "Mon, 5 Dec 2016 21:14:02 GMT", "version": "v1" } ]

2017-09-20

[ [ "Banerjee", "Nabamita", "" ], [ "Dutta", "Suvankar", "" ], [ "Jain", "Akash", "" ] ]

We study dynamics of (anomalous) Galilean superfluid up to first order in derivative expansion, both in parity-even and parity-odd sectors. We construct a relativistic system -- null superfluid, which is a null fluid (introduced in [arXiv:1509.04718]) with a spontaneously broken global $U(1)$ symmetry. A null superfluid is in one to one correspondence with Galilean superfluid in one lower dimension, i.e. they have same symmetries, thermodynamics, constitutive relations and are related to each other by a mere choice of basis. The correspondence is based on null reduction, which is known to reduce the Poincar\'{e} symmetry of a theory to Galilean symmetry in one lower dimension. To perform this analysis, we use offshell formalism of (super)fluid dynamics, adopting it appropriately to null (super)fluids.

8.270494

7.47067

8.587312

7.282572

7.785498

6.881413

7.159841

7.072097

7.207193

8.533997

7.161569

7.383572

8.146227

7.508291

7.483034

7.478538

7.350425

7.520031

7.552215

8.053936

7.460074

1103.5824

Luiz Brito

J. C. C. Felipe, L. C. T. Brito, Marcos Sampaio and M. C. Nemes

Quantum gravitational contributions to the beta function of quantum electrodynamics

5 pages, 1 figure

Phys.Lett.B700:86-89,2011

10.1016/j.physletb.2011.04.061

null

hep-th

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

We show in a diagrammatic and regularization independent analysis that the quadratic contribu- tion to the beta function which has been conjectured to render quantum electrodynamics asymp- totically free near the Planck scale has its origin in a surface term. Such surface term is intrinsically arbitrarily valued and it is argued to vanish in a consistent treatment of the model.

[ { "created": "Wed, 30 Mar 2011 05:26:47 GMT", "version": "v1" } ]

2011-05-18

[ [ "Felipe", "J. C. C.", "" ], [ "Brito", "L. C. T.", "" ], [ "Sampaio", "Marcos", "" ], [ "Nemes", "M. C.", "" ] ]

We show in a diagrammatic and regularization independent analysis that the quadratic contribu- tion to the beta function which has been conjectured to render quantum electrodynamics asymp- totically free near the Planck scale has its origin in a surface term. Such surface term is intrinsically arbitrarily valued and it is argued to vanish in a consistent treatment of the model.

18.332565

17.747202

15.204228

17.853073

16.453661

18.137484

14.976409

15.263525

16.941484

18.258228

14.692647

15.512739

15.87369

15.824456

15.875093

16.2486

15.87325

15.834567

16.335695

15.815362

16.191933

hep-th/0208049

Lahouari Mesref

L. Mesref

Superconformal and Super-BRS Invariance of the N = 1 Supersymmetric WZW Model Based on Lie Superalgebra

14 pages

Mod.Phys.Lett. A16 (2001) 1775-1784

10.1142/S0217732301005060

null

hep-th

null

We study the superconformal and super-BRS invariance of the supersymmetric Wess-Zumino-Witten model based on Lie superalgebra. The computation of the critical super-dimension of this model is done using the Fujikawa regularization. Finally, we recover the well-known result which fixes the relative coupling constant a2 = 1 in a rigorous way.

[ { "created": "Wed, 7 Aug 2002 16:25:27 GMT", "version": "v1" } ]

2009-11-07

[ [ "Mesref", "L.", "" ] ]

We study the superconformal and super-BRS invariance of the supersymmetric Wess-Zumino-Witten model based on Lie superalgebra. The computation of the critical super-dimension of this model is done using the Fujikawa regularization. Finally, we recover the well-known result which fixes the relative coupling constant a2 = 1 in a rigorous way.

11.582724

11.735653

12.500945

11.591515

12.995971

11.591705

12.273696

11.138935

11.447112

13.670176

10.978904

11.433136

11.882819

11.596805

12.114951

11.686447

11.498973

10.809921

11.576167

11.981062

11.266883

2209.15309

Jean Du Plessis

J.F. Du Plessis and W. A. Horowitz

NLO finite system size corrections to $2\to2$ scattering in $\phi^4$ theory using newly derived sum of sinc functions

Submission to SciPost

null

hep-th nucl-th

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

Previously an equation of state for the relativistic hydrodynamics encountered in heavy-ion collisions at the LHC and RHIC has been calculated using lattice gauge theory methods. This leads to a prediction of very low viscosity, due to the calculated trace anomaly. Finite system corrections to this trace anomaly could challenge this calculation, since the lattice calculation was done in an effectively infinite system. In order to verify this trace anomaly it is sensible to add phenomenologically relevant finite system corrections. We investigate massive $\phi^4$ theory with periodic boundary conditions on $n$ of the 3 spatial dimensions. $2\to2$ NLO scattering is then computed. Using a newly derived formula for an arbitrary dimensional sum of sinc functions, we show that the NLO finite size corrections preserve unitarity.

[ { "created": "Fri, 30 Sep 2022 08:37:24 GMT", "version": "v1" } ]

2022-10-03

[ [ "Plessis", "J. F. Du", "" ], [ "Horowitz", "W. A.", "" ] ]

Previously an equation of state for the relativistic hydrodynamics encountered in heavy-ion collisions at the LHC and RHIC has been calculated using lattice gauge theory methods. This leads to a prediction of very low viscosity, due to the calculated trace anomaly. Finite system corrections to this trace anomaly could challenge this calculation, since the lattice calculation was done in an effectively infinite system. In order to verify this trace anomaly it is sensible to add phenomenologically relevant finite system corrections. We investigate massive $\phi^4$ theory with periodic boundary conditions on $n$ of the 3 spatial dimensions. $2\to2$ NLO scattering is then computed. Using a newly derived formula for an arbitrary dimensional sum of sinc functions, we show that the NLO finite size corrections preserve unitarity.

18.683619

20.290535

17.357359

17.549891

19.778383

20.498367

19.273262

18.935087

17.40143

20.084585

18.317772

16.462868

17.112528

17.071821

17.064547

16.935904

17.273994

16.716856

16.792738

17.252415

17.059563

0710.5402

M. B. Paranjape

Jihene Bouchami and M. B. Paranjape

Spontaneous breaking of conformal invariance, solitons and gravitational waves in theories of conformally invariant gravitation

21 pages, 2 figures, colour viewing helpful, version to be published in PRD

Phys.Rev.D78:044022,2008

10.1103/PhysRevD.78.044022

UdeM-GPP-TH-07-163

hep-th astro-ph gr-qc

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

We study conformal gravity as an alternative theory of gravitation. For conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces. Hence we require a mechanism for the spontaneous breaking of conformal invariance. In this paper we study the possibility that conformal invariance is spontaneously broken due to interactions with conformally coupled matter fields. The vacuum of the theory admits conformally non-invariant solutions corresponding to maximally symmetric space-times and variants thereof. These are either de Sitter space-time or anti-de Sitter space-time in the full four space-time dimensions or in a lower dimensional sub-space. We consider in particular normalizable, linearized gravitational perturbations around the anti-de Sitter background. Exploiting the conformal flatness of this space-time, we show to second order, that these gravitational fluctuations, that are taken to be fourier decomposable, carry zero energy-momentum. This squares well with the theorem that asymptotically flat space-times conformal gravity contain zero energy and momentum \cite{bhs}. We also show the possibility of domain wall solitons interpolating between the ground states of spontaneously broken conformal symmetry that we have found. These solitons necessarily require the vanishing of the scalar field, repudiating the recent suggestion \cite{f} that the conformal symmetry could be quarantined to a sterile sector of the theory by choosing an appropriate field redefinition.

[ { "created": "Mon, 29 Oct 2007 12:18:12 GMT", "version": "v1" }, { "created": "Mon, 28 Jan 2008 13:26:03 GMT", "version": "v2" }, { "created": "Fri, 27 Jun 2008 13:18:18 GMT", "version": "v3" } ]

2008-11-26

[ [ "Bouchami", "Jihene", "" ], [ "Paranjape", "M. B.", "" ] ]

We study conformal gravity as an alternative theory of gravitation. For conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces. Hence we require a mechanism for the spontaneous breaking of conformal invariance. In this paper we study the possibility that conformal invariance is spontaneously broken due to interactions with conformally coupled matter fields. The vacuum of the theory admits conformally non-invariant solutions corresponding to maximally symmetric space-times and variants thereof. These are either de Sitter space-time or anti-de Sitter space-time in the full four space-time dimensions or in a lower dimensional sub-space. We consider in particular normalizable, linearized gravitational perturbations around the anti-de Sitter background. Exploiting the conformal flatness of this space-time, we show to second order, that these gravitational fluctuations, that are taken to be fourier decomposable, carry zero energy-momentum. This squares well with the theorem that asymptotically flat space-times conformal gravity contain zero energy and momentum \cite{bhs}. We also show the possibility of domain wall solitons interpolating between the ground states of spontaneously broken conformal symmetry that we have found. These solitons necessarily require the vanishing of the scalar field, repudiating the recent suggestion \cite{f} that the conformal symmetry could be quarantined to a sterile sector of the theory by choosing an appropriate field redefinition.

10.021409

10.450018

9.833432

10.157961

10.791605

10.664045

11.117064

10.252402

10.170789

10.593538

9.824977

9.798693

9.692772

9.830536

9.723294

9.887826

9.757297

9.821288

9.790476

9.531933

9.586425

hep-th/9305036

Tiraboschi Alejandro

Nicolas Andruskiewitsch, Jorge Devoto and Alejandro Tiraboschi

Quantum Heisenberg groups and Sklyanin algebras

13 pages

Lett.Math.Phys. 31 (1994) 167-178

10.1007/BF00761709

null

hep-th math.QA

null

We define new quantizations of the Heisenberg group by introducing new quantizations in the universal enveloping algebra of its Lie algebra. Matrix coefficients of the Stone--von Neumann representation are preserved by these new multiplications on the algebra of functions on the Heisenberg group. Some of the new quantizations provide also a new multiplication in the algebra of theta functions; we obtain in this way Sklyanin algebras.

[ { "created": "Mon, 10 May 1993 11:07:17 GMT", "version": "v1" }, { "created": "Thu, 20 May 1993 12:42:00 GMT", "version": "v2" } ]

2009-10-22

[ [ "Andruskiewitsch", "Nicolas", "" ], [ "Devoto", "Jorge", "" ], [ "Tiraboschi", "Alejandro", "" ] ]

We define new quantizations of the Heisenberg group by introducing new quantizations in the universal enveloping algebra of its Lie algebra. Matrix coefficients of the Stone--von Neumann representation are preserved by these new multiplications on the algebra of functions on the Heisenberg group. Some of the new quantizations provide also a new multiplication in the algebra of theta functions; we obtain in this way Sklyanin algebras.

9.12033

9.372962

10.60993

8.46522

10.04609

9.934146

8.726769

9.61371

9.022871

10.773016

8.709282

9.596677

9.616202

9.259212

8.861115

8.867398

9.384733

9.503305

9.221545

9.607908

9.163116

1308.5233

Yang-Hui He

Yang-Hui He and John McKay

Eta Products, BPS States and K3 Surfaces

45 pages, 5 figures; sections re-ordered and comments added, to appear in JHEP

null

10.1007/JHEP01(2014)113

null

hep-th math.AG math.NT

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

Inspired by the multiplicative nature of the Ramanujan modular discriminant, Delta, we consider physical realizations of certain multiplicative products over the Dedekind eta-function in two parallel directions: the generating function of BPS states in certain heterotic orbifolds and elliptic K3 surfaces associated to congruence subgroups of the modular group. We show that they are, after string duality to type II, the same K3 surfaces admitting Nikulin automorphisms. In due course, we will present some identities arising from q-expansions as well as relations to the sporadic Mathieu group M24.

[ { "created": "Fri, 23 Aug 2013 20:00:44 GMT", "version": "v1" }, { "created": "Sat, 21 Sep 2013 12:48:00 GMT", "version": "v2" }, { "created": "Wed, 8 Jan 2014 19:19:14 GMT", "version": "v3" } ]

2015-06-17

[ [ "He", "Yang-Hui", "" ], [ "McKay", "John", "" ] ]

Inspired by the multiplicative nature of the Ramanujan modular discriminant, Delta, we consider physical realizations of certain multiplicative products over the Dedekind eta-function in two parallel directions: the generating function of BPS states in certain heterotic orbifolds and elliptic K3 surfaces associated to congruence subgroups of the modular group. We show that they are, after string duality to type II, the same K3 surfaces admitting Nikulin automorphisms. In due course, we will present some identities arising from q-expansions as well as relations to the sporadic Mathieu group M24.

12.37607

12.699553

16.752197

12.483923

13.002526

12.808804

13.05759

13.015574

12.758941

15.455703

11.388121

11.720749

13.156569

12.347239

12.713213

12.421165

11.95247

12.013174

12.15157

12.39689

11.988242

1311.1508

Silviu Pufu

Nikolay Bobev, Henriette Elvang, Daniel Z. Freedman, and Silviu S. Pufu

Holography for ${\cal N}=2^*$ on $S^4$

31 pages + appendices, 3 figures

JHEP 1407 (2014) 001

10.1007/JHEP07(2014)001

MCTP-13-36, MIT-CTP-4513

hep-th

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

We find the gravity dual of $\mathcal{N}=2^*$ super-Yang-Mills theory on $S^4$ and use holography to calculate the universal contribution to the corresponding $S^4$ free energy at large $N$ and large 't Hooft coupling. Our result matches the expression previously computed using supersymmetric localization in the field theory. This match represents a non-trivial precision test of holography in a non-conformal, Euclidean signature setting.

[ { "created": "Wed, 6 Nov 2013 21:00:01 GMT", "version": "v1" } ]

2015-05-12

[ [ "Bobev", "Nikolay", "" ], [ "Elvang", "Henriette", "" ], [ "Freedman", "Daniel Z.", "" ], [ "Pufu", "Silviu S.", "" ] ]

We find the gravity dual of $\mathcal{N}=2^*$ super-Yang-Mills theory on $S^4$ and use holography to calculate the universal contribution to the corresponding $S^4$ free energy at large $N$ and large 't Hooft coupling. Our result matches the expression previously computed using supersymmetric localization in the field theory. This match represents a non-trivial precision test of holography in a non-conformal, Euclidean signature setting.

5.428648

4.076714

6.949746

4.728642

4.264323

4.048521

4.024934

4.145787

4.551884

6.35423

4.400812

4.980005

5.412087

5.13687

4.873759

4.901665

5.035863

4.879714

5.121058

5.699494

4.974437

1004.2978

Friedemann Brandt

Supersymmetry algebra cohomology II: Primitive elements in 2 and 3 dimensions

19 pages; v3: matches published version; presentation of D=3 analysis streamlined; presentation of lemmas 2.3 and 2.5 improved; minor correction of misprints; minor change of title

J. Math. Phys. 51 (2010) 112303

10.1063/1.3515845

ITP-UH-06/10

hep-th math-ph math.MP

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

The primitive elements of the supersymmetry algebra cohomology as defined in a companion paper are computed exhaustively for standard supersymmetry algebras in dimensions D=2 and D=3, for all signatures (t,D-t) and all numbers N of sets of supersymmetries.

[ { "created": "Sat, 17 Apr 2010 18:37:28 GMT", "version": "v1" }, { "created": "Sun, 25 Apr 2010 20:11:19 GMT", "version": "v2" }, { "created": "Wed, 1 Dec 2010 16:00:17 GMT", "version": "v3" } ]

2011-02-28

[ [ "Brandt", "Friedemann", "" ] ]

The primitive elements of the supersymmetry algebra cohomology as defined in a companion paper are computed exhaustively for standard supersymmetry algebras in dimensions D=2 and D=3, for all signatures (t,D-t) and all numbers N of sets of supersymmetries.

11.726071

9.038994

12.82804

9.975404

10.388012

9.540143

9.014434

9.27491

10.845266

14.163914

10.961098

10.723146

13.499856

10.975912

10.664289

10.442705

10.137808

11.119599

10.774958

11.965345

10.753628

1811.02173

Yu Nakayama

Very Special $T\bar{J}$ deformed CFT

21 pages

Phys. Rev. D 99, 085008 (2019)

10.1103/PhysRevD.99.085008

RUP-18-33

hep-th

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

We study a very special class of $T\bar{J}$ deformations of conformal field theories in two dimensions. While the deformations break the Lorentz symmetry, they preserve the twisted Lorentz symmetry. The resulting theory has right-moving Virasoro as well as left-moving translation and left-moving (chiral) scale symmetry without left-moving special conformal symmetry (nor left-moving Virasoro symmetry). As in the original $T\bar{J}$ deformations, they may be regarded as an operator dependent non-local change of coordinates. We show concrete examples based on worldsheet string theory and discuss how the non-unitary nature enables us to circumvent various no-go theorems.

[ { "created": "Tue, 6 Nov 2018 05:48:49 GMT", "version": "v1" } ]

2019-05-01

[ [ "Nakayama", "Yu", "" ] ]

We study a very special class of $T\bar{J}$ deformations of conformal field theories in two dimensions. While the deformations break the Lorentz symmetry, they preserve the twisted Lorentz symmetry. The resulting theory has right-moving Virasoro as well as left-moving translation and left-moving (chiral) scale symmetry without left-moving special conformal symmetry (nor left-moving Virasoro symmetry). As in the original $T\bar{J}$ deformations, they may be regarded as an operator dependent non-local change of coordinates. We show concrete examples based on worldsheet string theory and discuss how the non-unitary nature enables us to circumvent various no-go theorems.

9.681939

8.486316

10.713501

8.295537

8.763293

8.80247

8.650252

8.672782

7.858904

11.245608

8.347064

8.308236

9.489618

8.599043

8.553097

8.581841

8.444545

8.150674

8.24376

9.566329

8.568581

hep-th/9412086

null

J.-P. Derendinger (Neuchatel Univ.)

The Linear Multiplet and Quantum String Effective Actions

14 pages, latex

null

NEIP-94-014

hep-th

null

Quantum symmetries of four-dimensional superstrings are frequently realized in an anomaly-cancellation mode in the effective low-energy supergravity. The massless antisymmetric tensor plays an important r\^ole in this mechanism and the choice of its supersymmetric description, using either a chiral or a linear multiplet, appears to introduce significant conceptual and practical differences at the string loop level. This paper reviews the construction of loop-corrected string effective supergravities with the dilaton and antisymmetric tensor embedded in a linear multiplet. Using anomaly cancellation and the linear multiplet allows to obtain an all-order renormalization-group invariant effective lagrangian for a pure gauge sector with field-dependent gauge coupling constant. Presented at the Workshop "Physics from Planck Scale to Electroweak Scale", Warsaw, Poland, September 1994.

[ { "created": "Fri, 9 Dec 1994 16:50:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Derendinger", "J. -P.", "", "Neuchatel Univ." ] ]

Quantum symmetries of four-dimensional superstrings are frequently realized in an anomaly-cancellation mode in the effective low-energy supergravity. The massless antisymmetric tensor plays an important r\^ole in this mechanism and the choice of its supersymmetric description, using either a chiral or a linear multiplet, appears to introduce significant conceptual and practical differences at the string loop level. This paper reviews the construction of loop-corrected string effective supergravities with the dilaton and antisymmetric tensor embedded in a linear multiplet. Using anomaly cancellation and the linear multiplet allows to obtain an all-order renormalization-group invariant effective lagrangian for a pure gauge sector with field-dependent gauge coupling constant. Presented at the Workshop "Physics from Planck Scale to Electroweak Scale", Warsaw, Poland, September 1994.

11.144375

11.062553

10.780582

10.27667

12.8991

12.382571

12.470245

11.3253

10.523417

10.453176

11.71933

10.892047

10.573257

10.660168

10.970248

11.133996

11.374946

10.866288

10.731211

10.990731

11.250908

1403.6262

Yi-Jian Du

Chih-Hao Fu, Yi-Jian Du, Bo Feng

Note on symmetric BCJ numerator

14 pages, typo in eq.(4.1)is corrected

null

10.1007/JHEP08(2014)098

null

hep-th hep-ph

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

We present an algorithm that leads to BCJ numerators satisfying manifestly the three properties proposed by Broedel and Carrasco in [35]. We explicitly calculate the numerators at 4, 5 and 6-points and show that the relabeling property is generically satisfied.

[ { "created": "Tue, 25 Mar 2014 09:05:02 GMT", "version": "v1" }, { "created": "Wed, 30 Apr 2014 02:56:19 GMT", "version": "v2" } ]

2015-06-19

[ [ "Fu", "Chih-Hao", "" ], [ "Du", "Yi-Jian", "" ], [ "Feng", "Bo", "" ] ]

We present an algorithm that leads to BCJ numerators satisfying manifestly the three properties proposed by Broedel and Carrasco in [35]. We explicitly calculate the numerators at 4, 5 and 6-points and show that the relabeling property is generically satisfied.

16.41486

12.164242

16.45347

14.352324

15.243138

11.739484

12.837623

12.867167

13.82164

18.38336

12.301114

16.694475

15.274483

15.938619

15.48844

15.580956

15.266747

15.835851

15.340278

15.443281

16.12315

hep-th/0508177

Xiaojun Wang

Jian Dai, Xiao-Jun Wang and Yong-Shi Wu

Dynamics of Giant-Gravitons in the LLM geometry and the Fractional Quantum Hall Effect

32 pages, 1 figure; v.2: references added, the relation between the level shift and filling fraction elaborated

Nucl.Phys. B731 (2005) 285-308

10.1016/j.nuclphysb.2005.09.026

USTC-ICTS-05-09

hep-th

null

The LLM's 1/2 BPS solutions of IIB supergravity are known to be closely related to the integer quantum Hall droplets with filling factor $\nu=1$, and the giant gravitons in the LLM geometry behave like the quasi-holes in those droplets. In this paper we consider how the fractional quantum Hall effect may arise in this context, by studying the dynamics of giant graviton probes in a special LLM geometry, the AdS_5 X S^5 background, that corresponds to a circular droplet. The giant gravitons we study are D3-branes wrapping on a 3-sphere in S^5. Their low energy world-volume theory, truncated to the 1/2 BPS sector, is shown to be described by a Chern-Simons finite-matrix model. We demonstrate that these giant gravitons may condense at right density further into fractional quantum Hall fluid due to the repulsive interaction in the model, giving rise to the new states in IIB string theory. Some features of the novel physics of these new states are discussed.

[ { "created": "Wed, 24 Aug 2005 13:12:22 GMT", "version": "v1" }, { "created": "Wed, 14 Sep 2005 06:09:34 GMT", "version": "v2" } ]

2009-11-11

[ [ "Dai", "Jian", "" ], [ "Wang", "Xiao-Jun", "" ], [ "Wu", "Yong-Shi", "" ] ]

The LLM's 1/2 BPS solutions of IIB supergravity are known to be closely related to the integer quantum Hall droplets with filling factor $\nu=1$, and the giant gravitons in the LLM geometry behave like the quasi-holes in those droplets. In this paper we consider how the fractional quantum Hall effect may arise in this context, by studying the dynamics of giant graviton probes in a special LLM geometry, the AdS_5 X S^5 background, that corresponds to a circular droplet. The giant gravitons we study are D3-branes wrapping on a 3-sphere in S^5. Their low energy world-volume theory, truncated to the 1/2 BPS sector, is shown to be described by a Chern-Simons finite-matrix model. We demonstrate that these giant gravitons may condense at right density further into fractional quantum Hall fluid due to the repulsive interaction in the model, giving rise to the new states in IIB string theory. Some features of the novel physics of these new states are discussed.

9.46902

7.727125

9.448167

7.735622

8.518809

8.227816

7.711787

8.263338

7.463609

10.085833

8.347168

7.588079

8.227806

7.677784

7.560068

7.526914

7.63072

7.873476

7.912772

8.177999

8.131409

1808.00725

Avner Karasik

Vortex-strings in N=2 quiver X U(1) theories

61 pages, 10 figures

null

10.1007/JHEP12(2018)129

null

hep-th

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

We study half-BPS vortex-strings in four dimensional N=2 supersymmetric quiver theories with gauge group SU(N)^n X U(1). The matter content of the quiver can be represented by what we call a tetris diagram, which simplifies the analysis of the Higgs vacua and the corresponding strings. We classify the vacua of these theories in the presence of a Fayet-Iliopoulos term, and study strings above fully-Higgsed vacua. The strings are studied using classical zero modes analysis, supersymmetric localization and, in some cases, also S-duality. We analyze the conditions for bulk-string decoupling at low energies. When the conditions are satisfied, the low energy theory living on the string's worldsheet is some 2d N=(2,2) supersymmetric non-linear sigma model. We analyze the conditions for weak to weak 2d-4d map of parameters, and identify the worldsheet theory in all the cases where the map is weak to weak. For some SU(2) quivers, S-duality can be used to map weakly coupled worldsheet theories to strongly coupled ones. In these cases, we are able to identify the worldsheet theories also when the 2d-4d map of parameters is weak to strong.

[ { "created": "Thu, 2 Aug 2018 09:27:15 GMT", "version": "v1" } ]

2019-01-30

[ [ "Karasik", "Avner", "" ] ]

We study half-BPS vortex-strings in four dimensional N=2 supersymmetric quiver theories with gauge group SU(N)^n X U(1). The matter content of the quiver can be represented by what we call a tetris diagram, which simplifies the analysis of the Higgs vacua and the corresponding strings. We classify the vacua of these theories in the presence of a Fayet-Iliopoulos term, and study strings above fully-Higgsed vacua. The strings are studied using classical zero modes analysis, supersymmetric localization and, in some cases, also S-duality. We analyze the conditions for bulk-string decoupling at low energies. When the conditions are satisfied, the low energy theory living on the string's worldsheet is some 2d N=(2,2) supersymmetric non-linear sigma model. We analyze the conditions for weak to weak 2d-4d map of parameters, and identify the worldsheet theory in all the cases where the map is weak to weak. For some SU(2) quivers, S-duality can be used to map weakly coupled worldsheet theories to strongly coupled ones. In these cases, we are able to identify the worldsheet theories also when the 2d-4d map of parameters is weak to strong.

6.752564

7.140642

7.936597

6.481308

6.791646

6.78286

6.813453

6.578012

6.357085

8.795754

6.41457

6.34662

6.911066

6.614581

6.5633

6.697847

6.566882

6.428679

6.448874

7.008584

6.559348

0904.0241

D. S. Berman

David S Berman and Daniel C Thompson

Membranes with a boundary

48 pages, Latex, v2 references added

Nucl.Phys.B820:503-533,2009

10.1016/j.nuclphysb.2009.06.004

QMUL-PH-2009-07

hep-th

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

We investigate the recently developed theory of multiple membranes. In particular, we consider open membranes, i.e. the theory defined on a membrane world volume with a boundary. We first restrict our attention to the gauge sector of the theory. We obtain a boundary action from the Chern-Simons terms. Secondly, we consider the addition of certain boundary terms to various Chern-Simons theories coupled to matter. These terms ensure the full bulk plus boundary action has the correct amount of supersymmetry. For the ABJM model, this construction motivates the inclusion of a boundary quartic scalar potential. The boundary dynamics obtained from our modified theory produce Basu-Harvey type equations describing membranes ending on a fivebrane. The ultimate goal of this work is to throw light on the theory of fivebranes using the theory of open membranes.

[ { "created": "Wed, 1 Apr 2009 19:13:25 GMT", "version": "v1" }, { "created": "Thu, 7 May 2009 10:55:51 GMT", "version": "v2" } ]

2010-12-17

[ [ "Berman", "David S", "" ], [ "Thompson", "Daniel C", "" ] ]

We investigate the recently developed theory of multiple membranes. In particular, we consider open membranes, i.e. the theory defined on a membrane world volume with a boundary. We first restrict our attention to the gauge sector of the theory. We obtain a boundary action from the Chern-Simons terms. Secondly, we consider the addition of certain boundary terms to various Chern-Simons theories coupled to matter. These terms ensure the full bulk plus boundary action has the correct amount of supersymmetry. For the ABJM model, this construction motivates the inclusion of a boundary quartic scalar potential. The boundary dynamics obtained from our modified theory produce Basu-Harvey type equations describing membranes ending on a fivebrane. The ultimate goal of this work is to throw light on the theory of fivebranes using the theory of open membranes.

10.65132

11.163914

12.36624

10.615199

11.323963

10.81343

11.209871

11.07195

11.234206

13.076428

10.232754

10.911448

11.43872

10.954483

11.08127

10.660255

10.614471

11.034837

11.155416

11.392658

10.69833

2101.04759

Umut Gursoy

Domingo Gallegos, Umut Gursoy, Amos Yarom

Hydrodynamics of spin currents

8 pages, 1 figure; v3: references added, typos corrected

SciPost Phys. 11, 041 (2021)

10.21468/SciPostPhys.11.2.041

null

hep-th hep-ph nucl-th

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

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.

[ { "created": "Tue, 12 Jan 2021 21:29:53 GMT", "version": "v1" }, { "created": "Thu, 11 Mar 2021 13:52:46 GMT", "version": "v2" }, { "created": "Thu, 22 Jul 2021 22:23:08 GMT", "version": "v3" } ]

2021-09-01

[ [ "Gallegos", "Domingo", "" ], [ "Gursoy", "Umut", "" ], [ "Yarom", "Amos", "" ] ]

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.

8.91897

8.550908

8.323177

7.612524

7.529705

8.945169

7.84619

7.991093

7.888503

8.256045

7.905576

7.887989

8.098969

7.960368

7.811851

7.869134

7.954751

7.671799

7.715804

8.094294

8.026694

2309.14951

Rudra Prakash Malik

R. P. Malik

FLPR Model: Nilpotent (Anti-)co-BRST Symmetries

LaTeX file, 12 pages, version to appear in EPL

Euro. Phys. Lett. (EPL) 144 (2023) 42002 (7 pages)

10.1209/0295-5075/ad12a1.

null

hep-th

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

We demonstrate the existence of a set of novel off-shell nilpotent and absolutely anticommuting continuous symmetry transformations, within the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism, which are over and above the usual off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations that are respected by the first-order Lagrangian for the Friedberg-Lee-Pang-Ren (FLPR) model that describes the motion of a non-relativistic particle of unit mass moving under the influence of a general rotationally invariant spatial two-dimensional potential. We christen these novel set of fermionic symmetry transformations as the (anti-)co-BRST symmetry transformations because the gauge-fixing term remains invariant under them. We derive the conserved and off-shell nilpotent (anti-)BRST and (anti-)co-BRST charges and comment on the physicality criteria w.r.t. them where we establish the presence of the operator forms of the first-class constraints (of the original classical gauge theory) at the quantum level.

[ { "created": "Tue, 26 Sep 2023 14:08:22 GMT", "version": "v1" }, { "created": "Tue, 5 Dec 2023 12:57:20 GMT", "version": "v2" } ]

2023-12-19

[ [ "Malik", "R. P.", "" ] ]

We demonstrate the existence of a set of novel off-shell nilpotent and absolutely anticommuting continuous symmetry transformations, within the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism, which are over and above the usual off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations that are respected by the first-order Lagrangian for the Friedberg-Lee-Pang-Ren (FLPR) model that describes the motion of a non-relativistic particle of unit mass moving under the influence of a general rotationally invariant spatial two-dimensional potential. We christen these novel set of fermionic symmetry transformations as the (anti-)co-BRST symmetry transformations because the gauge-fixing term remains invariant under them. We derive the conserved and off-shell nilpotent (anti-)BRST and (anti-)co-BRST charges and comment on the physicality criteria w.r.t. them where we establish the presence of the operator forms of the first-class constraints (of the original classical gauge theory) at the quantum level.

7.589555

5.170652

8.326863

5.857537

6.150753

5.56393

4.90551

5.220078

5.833577

8.74929

5.996788

6.051448

7.285746

6.425787

6.447182

6.152782

6.628049

6.477091

6.490752

7.445347

6.873101

hep-th/9606191

null

L. Alvarez-Gaume and M. Marino

More on softly broken N=2 QCD

35 pages, 9 Postscript figures

Int.J.Mod.Phys. A12 (1997) 975-1002

10.1142/S0217751X97000724

CERN-TH/96-166, US-FT-34/96

hep-th

null

We extend previous work on the soft breaking of $N=2$ supersymmetric QCD. We present the formalism for the breaking due to a dilaton spurion for a general gauge group and obtain the exact effective potential. We obtain some general features of the vacuum structure in the pure $SU(N)$ Yang-Mills theory and we also derive a general mass formula for this class of theories, in particular we present explicit results for the mass spectrum in the $SU(2)$ case. Finally we analyze the vacuum structure of the $SU(2)$ theory with one massless hypermultiplet. This theory presents dyon condensation and a first order phase transition in the supersymmetry breaking parameter driven by non-mutually local BPS states. This could be a hint of Argyres-Douglas-like phases in non-supersymmetric gauge theories.

[ { "created": "Fri, 28 Jun 1996 14:41:40 GMT", "version": "v1" } ]

2015-06-26

[ [ "Alvarez-Gaume", "L.", "" ], [ "Marino", "M.", "" ] ]

We extend previous work on the soft breaking of $N=2$ supersymmetric QCD. We present the formalism for the breaking due to a dilaton spurion for a general gauge group and obtain the exact effective potential. We obtain some general features of the vacuum structure in the pure $SU(N)$ Yang-Mills theory and we also derive a general mass formula for this class of theories, in particular we present explicit results for the mass spectrum in the $SU(2)$ case. Finally we analyze the vacuum structure of the $SU(2)$ theory with one massless hypermultiplet. This theory presents dyon condensation and a first order phase transition in the supersymmetry breaking parameter driven by non-mutually local BPS states. This could be a hint of Argyres-Douglas-like phases in non-supersymmetric gauge theories.

8.278172

7.417851

8.789351

7.620018

7.948682

7.494061

7.753352

7.60435

7.276906

9.165325

7.936165

8.092052

8.030574

7.822284

8.010668

8.074655

7.912066

8.158947

7.70905

8.426573

7.811208

hep-th/9309030

Martin Cederwall

Martin Cederwall and Christian R. Preitschopf

The Seven-sphere and its Kac-Moody Algebra

22 pages. Macropackages used: phyzzx, epsf. Three epsf figure files appended

Commun.Math.Phys. 167 (1995) 373-394

10.1007/BF02100591

Goeteborg-ITP-93-34, August 1993

hep-th alg-geom math.QA

null

We investigate the seven-sphere as a group-like manifold and its extension to a Kac-Moody-like algebra. Covariance properties and tensorial composition of spinors under $S^7$ are defined. The relation to Malcev algebras is established. The consequences for octonionic projective spaces are examined. Current algebras are formulated and their anomalies are derived, and shown to be unique (even regarding numerical coefficients) up to redefinitions of the currents. Nilpotency of the BRST operator is consistent with one particular expression in the class of (field-dependent) anomalies. A Sugawara construction is given.

[ { "created": "Mon, 6 Sep 1993 10:43:17 GMT", "version": "v1" } ]

2009-10-22

[ [ "Cederwall", "Martin", "" ], [ "Preitschopf", "Christian R.", "" ] ]

We investigate the seven-sphere as a group-like manifold and its extension to a Kac-Moody-like algebra. Covariance properties and tensorial composition of spinors under $S^7$ are defined. The relation to Malcev algebras is established. The consequences for octonionic projective spaces are examined. Current algebras are formulated and their anomalies are derived, and shown to be unique (even regarding numerical coefficients) up to redefinitions of the currents. Nilpotency of the BRST operator is consistent with one particular expression in the class of (field-dependent) anomalies. A Sugawara construction is given.

16.593281

16.097023

18.478302

15.258704

14.716297

16.634527

15.474813

15.142325

16.032183

18.589687

15.191934

14.611794

16.466425

14.913178

14.624697

14.671924

14.888667

14.227004

14.914423

16.39867

14.253932

1707.08376

Koichi Nagasaki

Complexity of AdS_5 black holes with a rotating string

9 pages, 4 figures, some comments are added

Phys. Rev. D 96, 126018 (2017)

10.1103/PhysRevD.96.126018

null

hep-th

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

We consider computational complexity of AdS_5 black holes. Our system contains a particle moving on the boundary of AdS. This corresponds to the insertion of a fundamental string in AdS_5 bulk spacetime. Our results give a constraint for complexity. This gives us a hint for defining complexity in quantum field theories.

[ { "created": "Wed, 26 Jul 2017 11:18:56 GMT", "version": "v1" }, { "created": "Wed, 2 Aug 2017 06:54:46 GMT", "version": "v2" } ]

2018-01-03

[ [ "Nagasaki", "Koichi", "" ] ]

We consider computational complexity of AdS_5 black holes. Our system contains a particle moving on the boundary of AdS. This corresponds to the insertion of a fundamental string in AdS_5 bulk spacetime. Our results give a constraint for complexity. This gives us a hint for defining complexity in quantum field theories.

17.34551

10.143185

16.178196

11.494704

11.592954

12.120073

10.034899

10.399642

10.593352

16.716396

13.340444

13.48348

15.641185

14.118399

14.550672

13.3315

13.077271

13.519591

13.894987

16.056236

14.565673

hep-th/9305031

null

A. Bassetto, L. Griguolo and P. Zanca

Non Perturbative Solutions and Scaling Properties of Vector, Axial--Vector Electrodynamics in $1+1$ Dimensions

32, DFPD 93-TH-34

Phys.Rev. D50 (1994) 1077-1091

10.1103/PhysRevD.50.1077

null

hep-th

null

We study by non perturbative techniques a vector, axial--vector theory characterized by a parameter which interpolates between pure vector and chiral Schwinger models. Main results are two windows in the space of parameters which exhibit acceptable solutions. In the first window we find a free massive and a free massless bosonic excitations and interacting left--right fermions endowed with asymptotic \hbox{states}, which feel however a long range interaction. In the second window the massless bosonic excitation is a negative norm state which can be consistently expunged from the ``physical" Hilbert space; fermions are confined. An intriguing feature of our model occurs in the first window where we find that fermionic correlators scale at both short and long distances, but with different critical exponents. The infrared limit in the fermionic sector is nothing but a dynamically generated massless Thirring model.

[ { "created": "Sat, 8 May 1993 09:42:50 GMT", "version": "v1" } ]

2009-10-22

[ [ "Bassetto", "A.", "" ], [ "Griguolo", "L.", "" ], [ "Zanca", "P.", "" ] ]

We study by non perturbative techniques a vector, axial--vector theory characterized by a parameter which interpolates between pure vector and chiral Schwinger models. Main results are two windows in the space of parameters which exhibit acceptable solutions. In the first window we find a free massive and a free massless bosonic excitations and interacting left--right fermions endowed with asymptotic \hbox{states}, which feel however a long range interaction. In the second window the massless bosonic excitation is a negative norm state which can be consistently expunged from the ``physical" Hilbert space; fermions are confined. An intriguing feature of our model occurs in the first window where we find that fermionic correlators scale at both short and long distances, but with different critical exponents. The infrared limit in the fermionic sector is nothing but a dynamically generated massless Thirring model.

14.038279

15.187654

15.737142

13.663476

14.801015

14.35755

15.216592

13.412066

13.914822

16.407219

12.88254

13.895106

14.361065

13.628429

13.979115

14.36646

14.265518

14.060808

14.390322

14.78718

13.511973

hep-th/0009200

Alexander Cardona

Alexander Cardona (Laboratoire de Math\'ematiques Appliqu\'ees, Universit\'e Blaise Pascal (Clermont II), France)

Some Remarks about Duality, Analytic Torsion and Gaussian Integration in Antisymmetric Field Theories

15 pages, LaTeX

null

10.1142/9789812810571_0008

null

hep-th

null

From a path integral point of view (e.g. \cite{Q98}) physicists have shown how {\it duality} in antisymmetric quantum field theories on a closed space-time manifold $M$ relies in a fundamental way on Fourier Transformations of formal infinite-dimensional volume measures. We first review these facts from a measure theoretical point of view, setting the importance of the Hodge decomposition theorem in the underlying geometric picture, ignoring the local symmetry which lead to degeneracies of the action. To handle these degeneracies we then apply Schwarz's Ansatz showing how duality leads to a factorization of the analytic torsion of $M$ in terms of the partition functions associated to degenerate "dual" actions, which in the even dimensional case corresponds to the identification of these partition functions.

[ { "created": "Tue, 26 Sep 2000 11:04:42 GMT", "version": "v1" } ]

2017-08-23

[ [ "Cardona", "Alexander", "", "Laboratoire de Mathématiques Appliquées,\n Université Blaise Pascal" ] ]

From a path integral point of view (e.g. \cite{Q98}) physicists have shown how {\it duality} in antisymmetric quantum field theories on a closed space-time manifold $M$ relies in a fundamental way on Fourier Transformations of formal infinite-dimensional volume measures. We first review these facts from a measure theoretical point of view, setting the importance of the Hodge decomposition theorem in the underlying geometric picture, ignoring the local symmetry which lead to degeneracies of the action. To handle these degeneracies we then apply Schwarz's Ansatz showing how duality leads to a factorization of the analytic torsion of $M$ in terms of the partition functions associated to degenerate "dual" actions, which in the even dimensional case corresponds to the identification of these partition functions.

21.537109

22.539234

22.365227

19.356276

21.03367

21.559925

21.070078

19.985863

20.985226

23.812971

20.033865

19.509048

20.291716

19.67968

19.497587

19.369932

19.460112

19.366207

19.690149

20.35701

19.75757

hep-th/9309062

Solodukhin-63942

S.N.Solodukhin

Cosmological Solutions in 2D Poincar\'E Gravity

4p., Latex, To appear in Proc.of Journees Relativistes 1993

Int.J.Mod.Phys.D3:269-272,1994

10.1142/S0218271894000435

null

hep-th

null

Abtract: The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered. The solutions of classical equations of motion which can be interpreted as cosmological ones are studied.

[ { "created": "Fri, 10 Sep 1993 19:56:00 GMT", "version": "v1" }, { "created": "Wed, 22 Sep 1993 11:35:36 GMT", "version": "v2" } ]

2011-04-20

[ [ "Solodukhin", "S. N.", "" ] ]

Abtract: The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered. The solutions of classical equations of motion which can be interpreted as cosmological ones are studied.

10.777019

6.012402

9.243245

7.20969

5.756425

5.32375

5.938827

6.385359

6.995036

8.657286

7.91204

7.316737

8.211145

7.766943

7.01121

6.960575

7.653143

7.399099

8.076182

8.186237

8.734548

2406.17489

Gianbattista-Piero Nicosia

Jay Armas, Gianbattista-Piero Nicosia

New asymptotically (Anti)-de Sitter black holes in (super)gravity

53 pages including appendices

null

hep-th

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

We use the duality between gravitational dynamics and fluids living on dynamical surfaces carrying multiple charges, known as the blackfold approach, to perturbativaly construct new asymptotically global (Anti)-de Sitter multi-spinning, non-extremal, multi-charged black holes in theories of higher-dimensional gravity minimally coupled to a dilaton and higher-form gauge fields in spacetime dimensions $D\ge5$, and new asymptotically AdS$_{l}\times S^{m}$ black holes in type IIB and eleven-dimensional supergravity. These solutions include the generalisation of the Kerr-Newman solution to (A)dS carrying either electric or string charge, generalisations of black rings to higher-dimensions with $\mathbb{S}^p\times \mathbb{S}^{n+1}$ horizon topology, static de Sitter solutions carrying arbitrary $q$-brane charge, as well as various asymptotically AdS$_{l}\times S^{m}$ multi-charged and multi-spinning black hole solutions, some of which correspond to novel thermal states in $\mathcal{N}=4$ Super-Yang-Mills theory.

[ { "created": "Tue, 25 Jun 2024 12:16:35 GMT", "version": "v1" } ]

2024-06-26

[ [ "Armas", "Jay", "" ], [ "Nicosia", "Gianbattista-Piero", "" ] ]

We use the duality between gravitational dynamics and fluids living on dynamical surfaces carrying multiple charges, known as the blackfold approach, to perturbativaly construct new asymptotically global (Anti)-de Sitter multi-spinning, non-extremal, multi-charged black holes in theories of higher-dimensional gravity minimally coupled to a dilaton and higher-form gauge fields in spacetime dimensions $D\ge5$, and new asymptotically AdS$_{l}\times S^{m}$ black holes in type IIB and eleven-dimensional supergravity. These solutions include the generalisation of the Kerr-Newman solution to (A)dS carrying either electric or string charge, generalisations of black rings to higher-dimensions with $\mathbb{S}^p\times \mathbb{S}^{n+1}$ horizon topology, static de Sitter solutions carrying arbitrary $q$-brane charge, as well as various asymptotically AdS$_{l}\times S^{m}$ multi-charged and multi-spinning black hole solutions, some of which correspond to novel thermal states in $\mathcal{N}=4$ Super-Yang-Mills theory.

8.18157

7.744263

8.908526

7.495338

7.661349

8.24459

8.136451

7.485839

7.407476

9.211582

7.590295

7.583246

8.09691

7.671887

7.541417

7.621131

7.839965

7.520422

7.642661

8.409144

7.815679

hep-th/0104219

Hooft 't G.

Gerard 't Hooft (Utrecht)

How Does God Play Dice? (Pre-)Determinism at the Planck Scale

An Essay in honour of John S. Bell. 8 pages TeX, no figures

null

SPIN-2001/09 / ITP-UU-01/15

hep-th

null

In deterministic theories, one can start from a set of ontological states to formulate the dynamical laws, but these may not be directly observable. Observable are only equivalence classes of states, and these will span a basis of "beables", to be promoted to an orthonormal basis of Hilbert Space. After transforming this basis to a more conventional basis, a theory may result that is fundamentally quantum mechanical. It is conjectured that the quantum laws of the real world may be understood from exactly such a procedure.

[ { "created": "Wed, 25 Apr 2001 11:05:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hooft", "Gerard 't", "", "Utrecht" ] ]

In deterministic theories, one can start from a set of ontological states to formulate the dynamical laws, but these may not be directly observable. Observable are only equivalence classes of states, and these will span a basis of "beables", to be promoted to an orthonormal basis of Hilbert Space. After transforming this basis to a more conventional basis, a theory may result that is fundamentally quantum mechanical. It is conjectured that the quantum laws of the real world may be understood from exactly such a procedure.

18.926046

18.826977

19.613138

18.903166

20.040062

19.843315

20.910366

19.380072

17.161934

18.746872

18.513359

17.566282

17.21624

16.362104

16.971134

17.72995

17.829758

17.485851

16.177769

16.162657

17.518232

hep-th/0411127

Tobias Reichenbach

Violation of Remaining Lorentz Symmetry in the Approach of Time-Ordered Perturbation Theory to Space-Time Noncommutativity

8 pages, 1 figure

Phys.Lett. B606 (2005) 403-407

10.1016/j.physletb.2004.12.002

LU-ITP 2004/043

hep-th

null

We study remaining Lorentz symmetry, i.e. Lorentz transformations which leave the noncommutativity parameter $\theta^{\mu\nu}$ invariant, within the approach of time-ordered perturbation theory (TOPT) to space-time noncommutative theories. Their violation is shown in a simple scattering process. We argue that this results from the non-covariant transformation properties of the phase factors appearing in TOPT.

[ { "created": "Fri, 12 Nov 2004 20:17:17 GMT", "version": "v1" }, { "created": "Thu, 20 Jan 2005 20:14:29 GMT", "version": "v2" } ]

2009-11-10

[ [ "Reichenbach", "Tobias", "" ] ]

We study remaining Lorentz symmetry, i.e. Lorentz transformations which leave the noncommutativity parameter $\theta^{\mu\nu}$ invariant, within the approach of time-ordered perturbation theory (TOPT) to space-time noncommutative theories. Their violation is shown in a simple scattering process. We argue that this results from the non-covariant transformation properties of the phase factors appearing in TOPT.

9.731079

8.90176

9.203242

7.6643

7.766036

8.050809

8.094556

7.533179

7.444412

9.189532

7.656848

7.9248

8.264675

8.636316

8.287684

8.073602

8.960317

7.778895

8.257788

8.430676

7.876317

1207.0534

Ilya Lvovich Shapiro

Tiberio de Paula Netto and Ilya L. Shapiro

One-loop divergences in the Galileon model

One more section after Conclusions, including one extra reference, all concerning generalized second-derivative metric-scalar model. Version accepted in Physics Letters B. LaTeX, 19 pages, 5 figures

null

10.1016/j.physletb.2012.08.056

null

hep-th gr-qc

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

The investigation of UV divergences is a relevant step in better understanding of a new theory. In this work the one-loop divergences in the free field sector are obtained for the popular Galileons model. The calculations are performed by the generalized Schwinger-DeWitt technique and also by means of Feynman diagrams. The first method can be directly generalized to curved space, but here we deal only with the flat-space limit. We show that the UV completion of the theory includes the $\pi \Box^4\pi$ term. According to our previous analysis in the case of quantum gravity, this means that the theory can be modified to become superrenormalizable, but then its physical spectrum includes two massive ghosts and one massive scalar with positive kinetic energy. The effective approach in this theory can be perfectly successful, exactly as in the higher derivative quantum gravity, and in this case the non-renormalization theorem for Galileons remains valid in the low-energy region.

[ { "created": "Mon, 2 Jul 2012 22:11:39 GMT", "version": "v1" }, { "created": "Mon, 3 Sep 2012 01:36:39 GMT", "version": "v2" } ]

2015-06-05

[ [ "Netto", "Tiberio de Paula", "" ], [ "Shapiro", "Ilya L.", "" ] ]

The investigation of UV divergences is a relevant step in better understanding of a new theory. In this work the one-loop divergences in the free field sector are obtained for the popular Galileons model. The calculations are performed by the generalized Schwinger-DeWitt technique and also by means of Feynman diagrams. The first method can be directly generalized to curved space, but here we deal only with the flat-space limit. We show that the UV completion of the theory includes the $\pi \Box^4\pi$ term. According to our previous analysis in the case of quantum gravity, this means that the theory can be modified to become superrenormalizable, but then its physical spectrum includes two massive ghosts and one massive scalar with positive kinetic energy. The effective approach in this theory can be perfectly successful, exactly as in the higher derivative quantum gravity, and in this case the non-renormalization theorem for Galileons remains valid in the low-energy region.

12.942566

12.159243

13.063503

11.531748

11.852027

12.23149

11.914777

11.295864

11.841299

13.646326

11.372004

10.825269

11.786067

11.417781

11.358338

11.697319

11.328629

11.462431

11.184475

11.459557

11.456603

1606.01857

Juan Maldacena

Juan Maldacena, Douglas Stanford and Zhenbin Yang

Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

24 pages + 8 pages, 5 figures. V2: typos fixed

null

hep-th gr-qc

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

We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes. The asymptotic symmetries of $AdS_2$ are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the $AdS_2$ geometry and they are explicitly broken by the small deformation away from $AdS_2$. This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out of time order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization.

[ { "created": "Mon, 6 Jun 2016 18:36:04 GMT", "version": "v1" }, { "created": "Mon, 12 Sep 2016 13:35:42 GMT", "version": "v2" } ]

2016-09-13

[ [ "Maldacena", "Juan", "" ], [ "Stanford", "Douglas", "" ], [ "Yang", "Zhenbin", "" ] ]

We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes. The asymptotic symmetries of $AdS_2$ are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the $AdS_2$ geometry and they are explicitly broken by the small deformation away from $AdS_2$. This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out of time order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization.

7.578984

7.340994

8.489478

7.560574

7.679643

7.229889

7.769788

7.277381

7.532388

9.467013

7.345795

7.296346

7.951281

7.528184

7.472202

7.666157

7.369226

7.674207

7.394606

7.750412

7.326949

2312.08443

Gabriel Larios

Gabriel Larios and Christopher N. Pope and Haoyu Zhang

Singular limits in STU supergravity

38 pages. References added. Version to appear in JHEP

null

MI-HET-822

hep-th

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

We analyse the STU sectors of the four-dimensional maximal gauged supergravities with gauge groups ${\rm SO(8)}$, ${\rm SO(6)}\ltimes\mathbb{R}^{12}$ and $[{\rm SO(6)}\times{\rm SO(2)}]\ltimes\mathbb{R}^{12}$, and construct new domain-wall black-hole solutions in $D=4$. The consistent Kaluza-Klein embedding of these theories is obtained using the techniques of Exceptional Field Theory combined with the 4$d$ tensor hierarchies, and their respective uplifts into $D=11$ and type IIB supergravities are connected through singular limits that relate the different gaugings.

[ { "created": "Wed, 13 Dec 2023 19:00:01 GMT", "version": "v1" }, { "created": "Mon, 4 Mar 2024 21:30:06 GMT", "version": "v2" } ]

2024-03-06

[ [ "Larios", "Gabriel", "" ], [ "Pope", "Christopher N.", "" ], [ "Zhang", "Haoyu", "" ] ]

We analyse the STU sectors of the four-dimensional maximal gauged supergravities with gauge groups ${\rm SO(8)}$, ${\rm SO(6)}\ltimes\mathbb{R}^{12}$ and $[{\rm SO(6)}\times{\rm SO(2)}]\ltimes\mathbb{R}^{12}$, and construct new domain-wall black-hole solutions in $D=4$. The consistent Kaluza-Klein embedding of these theories is obtained using the techniques of Exceptional Field Theory combined with the 4$d$ tensor hierarchies, and their respective uplifts into $D=11$ and type IIB supergravities are connected through singular limits that relate the different gaugings.

6.907876

6.197073

7.268996

5.800755

7.039064

5.788337

6.259869

5.865839

5.634089

7.483985

5.728859

5.844753

6.34085

5.8267

5.833434

5.726898

5.927354

5.881042

5.68062

6.41896

5.895209

2103.14746

Ronak M Soni

Louise Anderson, Onkar Parrikar and Ronak M Soni

Islands with Gravitating Baths: Towards ER = EPR

47+14 pages, 16 figures. Comments welcome

J. High Energ. Phys. 2021, 226 (2021)

10.1007/JHEP10(2021)226

null

hep-th

http://creativecommons.org/publicdomain/zero/1.0/

We study the Page curve and the island rule for black holes evaporating into gravitating baths, with an eye towards establishing a connection with the ER=EPR proposal. We consider several models of two entangled 2d black holes in Jackiw-Teitelboim (JT) gravity with negative cosmological constant. The first, "doubled PSSY," model is one in which the black holes have end-of-the-world (ETW) branes with a flavour degree of freedom. We study highly entangled states of this flavour degree of freedom and find an entanglement-induced Hawking-Page-like transition from a geometry with two disconnected black holes to one with a pair of black holes connected by a wormhole, thus realising the ER = EPR proposal. The second model is a dynamical one in which the ETW branes do not have internal degrees of freedom but the JT gravity is coupled to a 2d CFT, and we entangle the black holes by coupling the two CFTs at the $AdS$ boundary and evolving for a long time. We study the entanglement entropy between the two black holes and find that the story is substantially similar to that with a non-gravitating thermal bath. In the third model, we couple the two ends of a two-sided eternal black hole and evolve for a long time. Finally, we discuss the possibility of a Hawking-Page-like transition induced by real-time evolution that realises the ER = EPR proposal in this dynamical setting.

[ { "created": "Fri, 26 Mar 2021 21:51:18 GMT", "version": "v1" }, { "created": "Tue, 15 Jun 2021 04:18:17 GMT", "version": "v2" } ]

2021-11-02

[ [ "Anderson", "Louise", "" ], [ "Parrikar", "Onkar", "" ], [ "Soni", "Ronak M", "" ] ]

We study the Page curve and the island rule for black holes evaporating into gravitating baths, with an eye towards establishing a connection with the ER=EPR proposal. We consider several models of two entangled 2d black holes in Jackiw-Teitelboim (JT) gravity with negative cosmological constant. The first, "doubled PSSY," model is one in which the black holes have end-of-the-world (ETW) branes with a flavour degree of freedom. We study highly entangled states of this flavour degree of freedom and find an entanglement-induced Hawking-Page-like transition from a geometry with two disconnected black holes to one with a pair of black holes connected by a wormhole, thus realising the ER = EPR proposal. The second model is a dynamical one in which the ETW branes do not have internal degrees of freedom but the JT gravity is coupled to a 2d CFT, and we entangle the black holes by coupling the two CFTs at the $AdS$ boundary and evolving for a long time. We study the entanglement entropy between the two black holes and find that the story is substantially similar to that with a non-gravitating thermal bath. In the third model, we couple the two ends of a two-sided eternal black hole and evolve for a long time. Finally, we discuss the possibility of a Hawking-Page-like transition induced by real-time evolution that realises the ER = EPR proposal in this dynamical setting.

7.556559

6.902394

7.707056

6.950553

7.125562

6.841259

7.222515

6.670558

6.786163

8.573155

6.820491

6.967548

7.16335

7.115198

6.800999

6.790886

6.872786

6.869143

6.872767

7.578225

6.945115

hep-th/0611043

Andrei Linde

Sinks in the Landscape, Boltzmann Brains, and the Cosmological Constant Problem

42 pages, 5 figures, the paper is substantially extended, a section on the cosmological constant is addeed; the version published in JCAP

JCAP 0701:022,2007

10.1088/1475-7516/2007/01/022

null

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

null

This paper extends the recent investigation of the string theory landscape in hep-th/0605266, where it was found that the decay rate of dS vacua to a collapsing space with a negative vacuum energy can be quite large. The parts of space that experience a decay to a collapsing space, or to a Minkowski vacuum, never return back to dS space. The channels of irreversible vacuum decay serve as sinks for the probability flow. The existence of such sinks is a distinguishing feature of the string theory landscape. We describe relations between several different probability measures for eternal inflation taking into account the existence of the sinks. The local (comoving) description of the inflationary multiverse suffers from the so-called Boltzmann brain (BB) problem unless the probability of the decay to the sinks is sufficiently large. We show that some versions of the global (volume-weighted) description do not have this problem even if one ignores the existence of the sinks. We argue that if the number of different vacua in the landscape is large enough, the anthropic solution of the cosmological constant problem in the string landscape scenario should be valid for a broad class of the probability measures which solve the BB problem. If this is correct, the solution of the cosmological constant problem may be essentially measure-independent. Finally, we describe a simplified approach to the calculations of anthropic probabilities in the landscape, which is less ambitious but also less ambiguous than other methods.

[ { "created": "Mon, 6 Nov 2006 20:59:59 GMT", "version": "v1" }, { "created": "Tue, 19 Dec 2006 19:32:13 GMT", "version": "v2" }, { "created": "Sun, 28 Jan 2007 04:51:06 GMT", "version": "v3" } ]

2009-11-11

[ [ "Linde", "Andrei", "" ] ]

This paper extends the recent investigation of the string theory landscape in hep-th/0605266, where it was found that the decay rate of dS vacua to a collapsing space with a negative vacuum energy can be quite large. The parts of space that experience a decay to a collapsing space, or to a Minkowski vacuum, never return back to dS space. The channels of irreversible vacuum decay serve as sinks for the probability flow. The existence of such sinks is a distinguishing feature of the string theory landscape. We describe relations between several different probability measures for eternal inflation taking into account the existence of the sinks. The local (comoving) description of the inflationary multiverse suffers from the so-called Boltzmann brain (BB) problem unless the probability of the decay to the sinks is sufficiently large. We show that some versions of the global (volume-weighted) description do not have this problem even if one ignores the existence of the sinks. We argue that if the number of different vacua in the landscape is large enough, the anthropic solution of the cosmological constant problem in the string landscape scenario should be valid for a broad class of the probability measures which solve the BB problem. If this is correct, the solution of the cosmological constant problem may be essentially measure-independent. Finally, we describe a simplified approach to the calculations of anthropic probabilities in the landscape, which is less ambitious but also less ambiguous than other methods.

8.787241

9.158886

10.097197

8.571239

9.030516

8.599861

8.647596

9.446964

8.391731

9.688464

8.459245

8.690656

9.144841

8.733675

8.754074

8.773587

8.526175

8.710289

8.712291

8.963

8.758409

hep-th/9604179

Jerome Gauntlett

Jerome P. Gauntlett, David A. Kastor and Jennie Traschen

Overlapping Branes in M-Theory

21 pages (Harvmac b). A new discussion on solutions with four or more overlaps is presented. References added

Nucl.Phys. B478 (1996) 544-560

10.1016/0550-3213(96)00423-3

CALT-68-2055, QMW-PH-96-8, UMHEP-429

hep-th

null

We construct new supersymmetric solutions of $D$=11 supergravity describing $n$ orthogonally ``overlapping" membranes and fivebranes for $n$=2,\dots,8. Overlapping branes arise after separating intersecting branes in a direction transverse to all of the branes. The solutions, which generalize known intersecting brane solutions, preserve at least $2^{-n}$ of the supersymmetry. Each pairwise overlap involves a membrane overlapping a membrane in a 0-brane, a fivebrane overlapping a fivebrane in a 3-brane or a membrane overlapping a fivebrane in a string. After reducing $n$ overlapping membranes to obtain $n$ overlapping $D$-2-branes in $D$=10, $T$-duality generates new overlapping $D$-brane solutions in type IIA and type IIB string theory. Uplifting certain type IIA solutions leads to the $D$=11 solutions. Some of the new solutions reduce to dilaton black holes in $D$=4. Additionally, we present a $D$=10 solution that describes two $D$-5-branes overlapping in a string. $T$-duality then generates further $D$=10 solutions and uplifting one of the type IIA solutions gives a new $D$=11 solution describing two fivebranes overlapping in a string.

[ { "created": "Mon, 29 Apr 1996 05:05:54 GMT", "version": "v1" }, { "created": "Sat, 18 May 1996 02:29:37 GMT", "version": "v2" } ]

2009-10-30

[ [ "Gauntlett", "Jerome P.", "" ], [ "Kastor", "David A.", "" ], [ "Traschen", "Jennie", "" ] ]

We construct new supersymmetric solutions of $D$=11 supergravity describing $n$ orthogonally ``overlapping" membranes and fivebranes for $n$=2,\dots,8. Overlapping branes arise after separating intersecting branes in a direction transverse to all of the branes. The solutions, which generalize known intersecting brane solutions, preserve at least $2^{-n}$ of the supersymmetry. Each pairwise overlap involves a membrane overlapping a membrane in a 0-brane, a fivebrane overlapping a fivebrane in a 3-brane or a membrane overlapping a fivebrane in a string. After reducing $n$ overlapping membranes to obtain $n$ overlapping $D$-2-branes in $D$=10, $T$-duality generates new overlapping $D$-brane solutions in type IIA and type IIB string theory. Uplifting certain type IIA solutions leads to the $D$=11 solutions. Some of the new solutions reduce to dilaton black holes in $D$=4. Additionally, we present a $D$=10 solution that describes two $D$-5-branes overlapping in a string. $T$-duality then generates further $D$=10 solutions and uplifting one of the type IIA solutions gives a new $D$=11 solution describing two fivebranes overlapping in a string.

5.434183

5.807132

6.378713

5.540383

6.151981

5.79153

5.837031

5.579113

5.789434

6.592205

5.472043

5.415217

5.749511

5.376892

5.477265

5.562584

5.49658

5.267756

5.584414

5.800727

5.544714

2005.04103

Hiromasa Watanabe

Hiromasa Watanabe, Georg Bergner, Norbert Bodendorfer, Shotaro Shiba Funai, Masanori Hanada, Enrico Rinaldi, Andreas Sch\"afer, and Pavlos Vranas

Partial Deconfinement at Strong Coupling on the Lattice

49 pages, 24 figures, 3 tables. Version accepted for publication on JHEP

J. High Energ. Phys. 2102 (2021) 004

10.1007/JHEP02(2021)004

DMUS-MP-20/03, LLNL-JRNL-809361, RIKEN-ITHEMS-REPORT-20, UTHEP-749

hep-th hep-lat hep-ph

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

We provide evidence for partial deconfinement -- the deconfinement of a SU($M$) subgroup of the SU($N$) gauge group -- by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the $M\times M$ submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography.

[ { "created": "Fri, 8 May 2020 15:19:03 GMT", "version": "v1" }, { "created": "Tue, 9 Jun 2020 07:45:59 GMT", "version": "v2" }, { "created": "Tue, 2 Feb 2021 13:14:49 GMT", "version": "v3" } ]

2021-02-03

[ [ "Watanabe", "Hiromasa", "" ], [ "Bergner", "Georg", "" ], [ "Bodendorfer", "Norbert", "" ], [ "Funai", "Shotaro Shiba", "" ], [ "Hanada", "Masanori", "" ], [ "Rinaldi", "Enrico", "" ], [ "Schäfer", "Andreas", "" ], [ "Vranas", "Pavlos", "" ] ]

We provide evidence for partial deconfinement -- the deconfinement of a SU($M$) subgroup of the SU($N$) gauge group -- by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the $M\times M$ submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography.

8.229059

7.174554

7.88896

7.650719

7.25973

8.361309

8.189968

7.38754

7.205358

9.089717

7.29568

7.525231

8.017854

7.579688

7.745821

7.590938

7.590053

7.650241

7.513807

7.931603

7.309962

1512.08825

Franco Pezzella Ph. D.

Franco Pezzella

Some Aspects of the T-Duality Symmetric String Sigma Model

8 pages, contribution to the Proceedings of the 14th Marcel Grossmann Meeting - MG14 - Rome, Italy - July 12-18, 2015. Some typos corrected. References added

null

hep-th

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

A manifestly T-dual invariant formulation of bosonic string theory is discussed here. It can be obtained by making both the usual string compact coordinates and their duals explicitly appear, on the same footing, in the world-sheet action. A peculiarity of such a model is the loss of the local Lorentz invariance which is required to be recovered on-shell. This dictates a constraint on the backgrounds which characterizes the double geometry of the target space. Constant and non-constant backgrounds are considered. In the former case, the local Lorentz constraint implies the geometry of a double torus with an $O(D,D)$ invariance. In the latter, it is shown how and when the $O(D,D)$ invariance still holds and when deformations from it can be implied. Results of the quantization of the free theory are also briefly exhibited.

[ { "created": "Wed, 30 Dec 2015 01:54:30 GMT", "version": "v1" }, { "created": "Mon, 8 Feb 2016 17:42:20 GMT", "version": "v2" } ]

2016-02-09

[ [ "Pezzella", "Franco", "" ] ]

A manifestly T-dual invariant formulation of bosonic string theory is discussed here. It can be obtained by making both the usual string compact coordinates and their duals explicitly appear, on the same footing, in the world-sheet action. A peculiarity of such a model is the loss of the local Lorentz invariance which is required to be recovered on-shell. This dictates a constraint on the backgrounds which characterizes the double geometry of the target space. Constant and non-constant backgrounds are considered. In the former case, the local Lorentz constraint implies the geometry of a double torus with an $O(D,D)$ invariance. In the latter, it is shown how and when the $O(D,D)$ invariance still holds and when deformations from it can be implied. Results of the quantization of the free theory are also briefly exhibited.

9.499404

8.517599

10.703461

8.362366

8.622931

9.172352

8.910132

8.648895

8.5899

9.71056

8.090377

8.710424

9.368536

8.885154

8.622445

8.778814

8.832831

8.993092

8.753969

9.049855

8.691466

hep-th/0104197

Santachiara

Vladimir S. Dotsenko, Xuan Son Nguyen and Raoul Santachiara

Models WD_{n} in the presence of disorder and the coupled models

35 pages, latex, 3 eps figures

Nucl.Phys. B613 (2001) 445-471

10.1016/S0550-3213(01)00392-3

PAR--LPTHE 01/15

hep-th cond-mat.dis-nn

null

We have studied the conformal models WD_{n}^{(p)}, n=3,4,5,..., in the presence of disorder which couples to the energy operator of the model. In the limit of p<<1 where p is the corresponding minimal model index, the problem could be analyzed by means of the perturbative renormalization group, with $epsilon$-expansion in $\epsilon$=1/p. We have found that the disorder makes to flow the model WD_{n}^{(p)} to the model WD_{n}^{(p-1)} without disorder. In the related problem of N coupled regular WD_{n}^{(p)} models (no disorder), coupled by their energy operators, we find a flow to the fixed point of N decoupled WD_{n}^{(p-1)}. But in addition we find in this case two new fixed points which could be reached by a fine tuning of the initial values of the couplings. The corresponding critical theories realize the permutational symmetry in a non-trivial way, like this is known to be the case for coupled Potts models, and they could not be identified with the presently known conformal models.

[ { "created": "Mon, 23 Apr 2001 18:28:01 GMT", "version": "v1" }, { "created": "Mon, 3 Sep 2001 16:48:34 GMT", "version": "v2" } ]

2016-09-06

[ [ "Dotsenko", "Vladimir S.", "" ], [ "Nguyen", "Xuan Son", "" ], [ "Santachiara", "Raoul", "" ] ]

We have studied the conformal models WD_{n}^{(p)}, n=3,4,5,..., in the presence of disorder which couples to the energy operator of the model. In the limit of p<<1 where p is the corresponding minimal model index, the problem could be analyzed by means of the perturbative renormalization group, with $epsilon$-expansion in $\epsilon$=1/p. We have found that the disorder makes to flow the model WD_{n}^{(p)} to the model WD_{n}^{(p-1)} without disorder. In the related problem of N coupled regular WD_{n}^{(p)} models (no disorder), coupled by their energy operators, we find a flow to the fixed point of N decoupled WD_{n}^{(p-1)}. But in addition we find in this case two new fixed points which could be reached by a fine tuning of the initial values of the couplings. The corresponding critical theories realize the permutational symmetry in a non-trivial way, like this is known to be the case for coupled Potts models, and they could not be identified with the presently known conformal models.

8.290412

8.893771

10.08289

8.514645

9.025995

9.127014

9.068804

8.981431

8.592789

10.316936

8.505179

8.424965

9.000257

8.215831

8.286254

7.997134

8.30924

8.213412

8.520772

9.166807

8.15733

hep-th/0609034

Christoph Keller

Stefan Fredenhagen, Matthias R. Gaberdiel and Christoph A. Keller

Bulk induced boundary perturbations

18 pages, 1 figure, minor corrections, references added

J.Phys.A40:F17,2007

null

hep-th

null

The influence of closed string moduli on the D-brane moduli space is studied from a worldsheet point of view. Whenever a D-brane cannot be adjusted to an infinitesimal change of the closed string background, the corresponding exactly marginal bulk operator ceases to be exactly marginal in the presence of the brane. The bulk perturbation then induces a renormalisation group flow on the boundary whose end-point describes a conformal D-brane of the perturbed theory. We derive the relevant RG equations in general and illustrate the phenomenon with a number of examples, in particular the radius deformation of a free boson on a circle. At the self-dual radius we can give closed formulae for the induced boundary flows which are exact in the boundary coupling constants.

[ { "created": "Tue, 5 Sep 2006 10:04:21 GMT", "version": "v1" }, { "created": "Mon, 22 Jan 2007 09:28:09 GMT", "version": "v2" } ]

2008-11-26

[ [ "Fredenhagen", "Stefan", "" ], [ "Gaberdiel", "Matthias R.", "" ], [ "Keller", "Christoph A.", "" ] ]

The influence of closed string moduli on the D-brane moduli space is studied from a worldsheet point of view. Whenever a D-brane cannot be adjusted to an infinitesimal change of the closed string background, the corresponding exactly marginal bulk operator ceases to be exactly marginal in the presence of the brane. The bulk perturbation then induces a renormalisation group flow on the boundary whose end-point describes a conformal D-brane of the perturbed theory. We derive the relevant RG equations in general and illustrate the phenomenon with a number of examples, in particular the radius deformation of a free boson on a circle. At the self-dual radius we can give closed formulae for the induced boundary flows which are exact in the boundary coupling constants.

8.401919

7.58195

10.264902

7.689533

7.49817

8.030971

8.205395

7.6893

8.15413

9.303889

7.617493

8.056855

8.890099

8.204092

7.691238

8.086264

8.020708

8.060004

8.034724

8.315269

7.935719

hep-th/9707173

Mohammad Reza Rahimi Tabar

A. R. Rastegar, M. R. Rahimi Tabar and P. Hawaii

Exact Two-Point Correlation Functions of Turbulence Without Pressure in Three-Dimensions

9 pages, latex, no figures, we have corrected the our basic equations. We predict the inertial-range exponent for the energy spectrum for 3D-turbulence without pressure. We will present the detail of calculation and the results for 2D-turbulence elsewhere. Also some references are added

null

10.1016/S0375-9601(98)00445-9

null

hep-th chao-dyn cond-mat nlin.CD

null

We investigate exact results of isotropic turbulence in three-dimensions when the pressure gradient is negligible. We derive exact two-point correlation functions of density in three-dimensions and show that the density-density correlator behaves as $ |{x_1 - x_2}|^{-\alpha_3}$, where $\alpha_3 = 2 + \frac{\sqrt{33}}{6}$. It is shown that, in three-dimensions, the energy spectrum $E(k)$ in the inertial range scales with exponent $ 2 - \frac {\sqrt{33}}{12} \simeq 1.5212$. We also discuss the time scale for which our exact results are valid for strong 3D--turbulence in the presence of the pressure. We confirm our predictions by using the recent results of numerical calculations and experiment.

[ { "created": "Sat, 19 Jul 1997 16:51:35 GMT", "version": "v1" }, { "created": "Tue, 22 Jul 1997 10:41:25 GMT", "version": "v2" }, { "created": "Tue, 6 Jan 1998 10:36:11 GMT", "version": "v3" } ]

2009-10-30

[ [ "Rastegar", "A. R.", "" ], [ "Tabar", "M. R. Rahimi", "" ], [ "Hawaii", "P.", "" ] ]

We investigate exact results of isotropic turbulence in three-dimensions when the pressure gradient is negligible. We derive exact two-point correlation functions of density in three-dimensions and show that the density-density correlator behaves as $ |{x_1 - x_2}|^{-\alpha_3}$, where $\alpha_3 = 2 + \frac{\sqrt{33}}{6}$. It is shown that, in three-dimensions, the energy spectrum $E(k)$ in the inertial range scales with exponent $ 2 - \frac {\sqrt{33}}{12} \simeq 1.5212$. We also discuss the time scale for which our exact results are valid for strong 3D--turbulence in the presence of the pressure. We confirm our predictions by using the recent results of numerical calculations and experiment.

8.290894

9.367219

8.34545

8.228545

8.530158

8.96943

9.923356

8.821902

9.020041

9.386275

8.487534

8.248565

8.149621

8.076083

7.852557

8.304293

8.221425

8.147139

8.232794

8.242502

7.978208

1802.10128

Eduardo da Hora

R. Casana, N. H. Gonzalez-Gutierrez and E. da Hora

Topological first-order solitons in a gauged $CP(2)$ model with the Maxwell-Chern-Simons action

8 pages, 9 figures

EPL, 127 (2019) 61001

10.1209/0295-5075/127/61001

null

hep-th nlin.PS

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

We verify the existence of radially symmetric first-order solitons in a gauged $CP(2)$ scenario in which the dynamics of the Abelian gauge field is controlled by the Maxwell-Chern-Simons action. We implement the standard Bogomol'nyi-Prasad-Sommerfield (BPS) formalism, from which we obtain a well-defined lower bound for the corresponding energy (i.e. the Bogomol'nyi bound) and the first-order equations saturating it. We solve these first-order equations numerically by means of the finite-difference scheme, therefore obtaining regular solutions of the effective model, their energy being quantized according the winding number rotulating the final configurations, as expected. We depict the numerical solutions, whilst commenting on the main properties they engender.

[ { "created": "Tue, 27 Feb 2018 19:28:56 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2019 14:14:23 GMT", "version": "v2" } ]

2019-11-05

[ [ "Casana", "R.", "" ], [ "Gonzalez-Gutierrez", "N. H.", "" ], [ "da Hora", "E.", "" ] ]

We verify the existence of radially symmetric first-order solitons in a gauged $CP(2)$ scenario in which the dynamics of the Abelian gauge field is controlled by the Maxwell-Chern-Simons action. We implement the standard Bogomol'nyi-Prasad-Sommerfield (BPS) formalism, from which we obtain a well-defined lower bound for the corresponding energy (i.e. the Bogomol'nyi bound) and the first-order equations saturating it. We solve these first-order equations numerically by means of the finite-difference scheme, therefore obtaining regular solutions of the effective model, their energy being quantized according the winding number rotulating the final configurations, as expected. We depict the numerical solutions, whilst commenting on the main properties they engender.

10.237711

7.411662

10.6312

8.661058

9.01625

7.966687

7.343979

7.951982

8.533781

11.820429

8.737781

8.874841

9.629071

9.234312

8.954746

9.424185

9.032731

9.204981

8.942191

9.961204

9.274969

1812.07329

Veronika Breunh\"older

Veronika Breunh\"older, James Lucietti

Supersymmetric black hole non-uniqueness in five dimensions

version 2: typos corrected, minor clarifications added; 26 pages, 10 figures

J. High Energ. Phys. (2019) 2019: 105

10.1007/JHEP03(2019)105

EMPG-18-26

hep-th gr-qc

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

We present a systematic study of the moduli space of asymptotically flat, supersymmetric and biaxisymmetric black hole solutions to five-dimensional minimal supergravity. Previously, it has been shown that such solutions must be multi-centred solutions with a Gibbons-Hawking base. In this paper we perform a full analysis of three-centred solutions with a single black hole, for which there are seven regular black hole solutions. We find that four of these can have the same conserved charges as the BMPV black hole. These consist of a black lens with L(3,1) horizon topology and three distinct families of spherical black holes with nontrivial topology outside the horizon. The former provides the first example of a nonspherical black hole with the same conserved charges as the BMPV black hole. Moreover, of these four solutions, three can have a greater entropy than the BMPV black hole near the BMPV upper spin bound. One of these is a previously known spherical black hole with nontrivial topology and the other two are new examples of a spherical black hole with nontrivial topology and an L(3,1) black lens.

[ { "created": "Tue, 18 Dec 2018 12:33:43 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2019 14:20:34 GMT", "version": "v2" } ]

2019-03-21

[ [ "Breunhölder", "Veronika", "" ], [ "Lucietti", "James", "" ] ]

We present a systematic study of the moduli space of asymptotically flat, supersymmetric and biaxisymmetric black hole solutions to five-dimensional minimal supergravity. Previously, it has been shown that such solutions must be multi-centred solutions with a Gibbons-Hawking base. In this paper we perform a full analysis of three-centred solutions with a single black hole, for which there are seven regular black hole solutions. We find that four of these can have the same conserved charges as the BMPV black hole. These consist of a black lens with L(3,1) horizon topology and three distinct families of spherical black holes with nontrivial topology outside the horizon. The former provides the first example of a nonspherical black hole with the same conserved charges as the BMPV black hole. Moreover, of these four solutions, three can have a greater entropy than the BMPV black hole near the BMPV upper spin bound. One of these is a previously known spherical black hole with nontrivial topology and the other two are new examples of a spherical black hole with nontrivial topology and an L(3,1) black lens.

6.285355

6.026312

6.839636

5.765772

5.712847

5.860381

6.044663

5.933959

5.834461

7.24753

5.883856

5.940233

6.070148

5.871954

5.906433

5.615871

6.13505

6.102032

5.93322

6.406133

5.991833

2212.08976

Ira Z. Rothstein

Alberto Nicolis and Ira Z. Rothstein

Apparent Fine Tunings for Field Theories with Broken Space-Time Symmetries

21 Pages

SciPost Phys. 16, 045 (2024)

10.21468/SciPostPhys.16.2.045

null

hep-th hep-ph

http://creativecommons.org/publicdomain/zero/1.0/

We exhibit a class of effective field theories that have hierarchically small Wilson coefficients for operators that are not protected by symmetries but are not finely tuned. These theories possess bounded target spaces and vacua that break space-time symmetries. We give a physical interpretation of these theories as generalized solids with open boundary conditions. We show that these theories realize unusual RG flows where higher dimensional (seemingly irrelevant) operators become relevant even at weak coupling. Finally, we present an example of a field theory whose vacuum energy relaxes to a hierarchically small value compared to the UV cut-off.

[ { "created": "Sat, 17 Dec 2022 23:40:21 GMT", "version": "v1" } ]

2024-02-14

[ [ "Nicolis", "Alberto", "" ], [ "Rothstein", "Ira Z.", "" ] ]

We exhibit a class of effective field theories that have hierarchically small Wilson coefficients for operators that are not protected by symmetries but are not finely tuned. These theories possess bounded target spaces and vacua that break space-time symmetries. We give a physical interpretation of these theories as generalized solids with open boundary conditions. We show that these theories realize unusual RG flows where higher dimensional (seemingly irrelevant) operators become relevant even at weak coupling. Finally, we present an example of a field theory whose vacuum energy relaxes to a hierarchically small value compared to the UV cut-off.

11.361933

11.274086

11.754799

10.638766

10.227815

11.442551

10.776761

10.71095

11.134854

12.373098

10.740509

10.662756

11.353606

10.899461

10.522779

10.85526

10.980307

10.863985

10.726179

10.961659

10.539087

0901.2467

Sergei V. Ketov

S. James Gates Jr. and Sergei V. Ketov

Superstring-inspired supergravity as the universal source of inflation and quintessence

12 pages, Latex, no figures; some corrections in the equations of sect.8, more references added

Phys.Lett.B674:59-63,2009

10.1016/j.physletb.2009.03.005

UMDEPP 09-023

hep-th gr-qc

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

We prove (in superspace) the equivalence between the higher-derivative N=1 supergravity, defined by a holomorphic function F of the chiral scalar curvature superfield, and the standard theory of a chiral scalar superfield with a chiral superpotential W, coupled to the (minimal) Poincare supergravity in four spacetime dimensions. The relation between the holomorphic functions F and W is found. It can be used as the technical framework for the possible scenario unifying the early Universe inflation and the present Universe acceleration. We speculate on the possible origin of our model as the effective supergravity generated by quantum superstrings, with a dilaton-axion field as the leading field component of the chiral superfield.

[ { "created": "Fri, 16 Jan 2009 12:17:58 GMT", "version": "v1" }, { "created": "Mon, 2 Feb 2009 12:42:32 GMT", "version": "v2" } ]

2009-05-27

[ [ "Gates", "S. James", "Jr." ], [ "Ketov", "Sergei V.", "" ] ]

We prove (in superspace) the equivalence between the higher-derivative N=1 supergravity, defined by a holomorphic function F of the chiral scalar curvature superfield, and the standard theory of a chiral scalar superfield with a chiral superpotential W, coupled to the (minimal) Poincare supergravity in four spacetime dimensions. The relation between the holomorphic functions F and W is found. It can be used as the technical framework for the possible scenario unifying the early Universe inflation and the present Universe acceleration. We speculate on the possible origin of our model as the effective supergravity generated by quantum superstrings, with a dilaton-axion field as the leading field component of the chiral superfield.

8.975262

8.133204

8.413178

8.115396

8.394313

8.087324

8.23164

7.142115

7.319551

9.26153

8.07478

8.074643

8.896806

7.885962

8.025416

7.813028

8.234494

7.971937

8.095973

8.431321

8.078986

1107.1429

Evgeny Ivanov

F. Delduc, E. Ivanov

N = 4 mechanics of general (4, 4, 0) multiplets

41 pages, further typos corrected, published version

null

10.1016/j.nuclphysb.2011.10.016

JINR E2-2011-69

hep-th math-ph math.MP

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

We construct the manifestly N=4 supersymmetric off-shell superfield "master" action for any number n of the N=4 supermultiplets (4, 4, 0) described by harmonic analytic superfields q^{+a}(\zeta, u), a= 1, ... 2n, subjected to the most general harmonic constraints. The action consists of the sigma-model and Wess-Zumino parts. We present the general expressions for the target space metric, torsion and background gauge fields. The generic target space geometry is shown to be weak HKT (hyper-K\"ahler with torsion), with the strong HKT and HK ones as particular cases. The background gauge fields obey the self-duality condition. Our formulation suggests that the weak HKT geometry is fully specified by the two primary potentials: an unconstrained scalar potential {\cal L}(q^+, q^-, u)|_{\theta = 0} which is the \theta = 0 projection of the superfield sigma-model Lagrangian, and a charge 3 harmonic analytic potential {\cal L}^{+ 3a}(q^+, u)|_{\theta = 0} coming from the harmonic constraint on q^{+ a}. The reductions to the strong HKT and HK geometries amount to simple restrictions on the underlying potentials. We also show, using the N=2 superfield approach, that the most general bosonic target geometry of the N=4, d=1 sigma models, of which the weak HKT geometry is a particular case, naturally comes out after adding the mirror (4, 4, 0) multiplets with different transformation laws under N=4 supersymmetry and SO(4) R symmetry. Thus the minimal dimension of the target spaces exhibiting such a "weakest" geometry is 8, which corresponds to a pair of the mutually mirror (4, 4, 0) multiplets.

[ { "created": "Thu, 7 Jul 2011 15:35:05 GMT", "version": "v1" }, { "created": "Fri, 21 Oct 2011 20:55:27 GMT", "version": "v2" }, { "created": "Tue, 15 Nov 2011 19:54:06 GMT", "version": "v3" } ]

2015-05-28

[ [ "Delduc", "F.", "" ], [ "Ivanov", "E.", "" ] ]

We construct the manifestly N=4 supersymmetric off-shell superfield "master" action for any number n of the N=4 supermultiplets (4, 4, 0) described by harmonic analytic superfields q^{+a}(\zeta, u), a= 1, ... 2n, subjected to the most general harmonic constraints. The action consists of the sigma-model and Wess-Zumino parts. We present the general expressions for the target space metric, torsion and background gauge fields. The generic target space geometry is shown to be weak HKT (hyper-K\"ahler with torsion), with the strong HKT and HK ones as particular cases. The background gauge fields obey the self-duality condition. Our formulation suggests that the weak HKT geometry is fully specified by the two primary potentials: an unconstrained scalar potential {\cal L}(q^+, q^-, u)|_{\theta = 0} which is the \theta = 0 projection of the superfield sigma-model Lagrangian, and a charge 3 harmonic analytic potential {\cal L}^{+ 3a}(q^+, u)|_{\theta = 0} coming from the harmonic constraint on q^{+ a}. The reductions to the strong HKT and HK geometries amount to simple restrictions on the underlying potentials. We also show, using the N=2 superfield approach, that the most general bosonic target geometry of the N=4, d=1 sigma models, of which the weak HKT geometry is a particular case, naturally comes out after adding the mirror (4, 4, 0) multiplets with different transformation laws under N=4 supersymmetry and SO(4) R symmetry. Thus the minimal dimension of the target spaces exhibiting such a "weakest" geometry is 8, which corresponds to a pair of the mutually mirror (4, 4, 0) multiplets.

7.656989

8.044579

8.949697

7.172949

7.960217

7.779219

8.015522

7.304573

7.314905

9.552773

7.438199

7.480685

7.965214

7.430363

7.441259

7.381013

7.364751

7.361535

7.45525

8.113188

7.408877

1506.00781

Masazumi Honda

Identification of Bulk coupling constant in Higher Spin/ABJ correspondence

10 pages, v3: typos corrected

null

10.1007/JHEP08(2015)110

HRI/ST/1506

hep-th

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

We study the conjectured duality between the $\mathcal{N}=6$ Vasiliev higher spin theory on $AdS_4$ and 3d $\mathcal{N}=6$ superconformal Chern-Simons matter theory known as the ABJ theory. We discuss how the parameters in the ABJ theory should be related to the bulk coupling constant in the Vasiliev theory. For this purpose, we compute two-point function of stress tensor in the ABJ theory by using supersymmmetry localization. Our result justifies the proposal by arXiv:1504.00365 and determine the unknown coefficient in the previous work.

[ { "created": "Tue, 2 Jun 2015 07:46:23 GMT", "version": "v1" }, { "created": "Tue, 16 Jun 2015 05:02:10 GMT", "version": "v2" }, { "created": "Mon, 3 Aug 2015 12:05:40 GMT", "version": "v3" } ]

2015-09-30

[ [ "Honda", "Masazumi", "" ] ]

We study the conjectured duality between the $\mathcal{N}=6$ Vasiliev higher spin theory on $AdS_4$ and 3d $\mathcal{N}=6$ superconformal Chern-Simons matter theory known as the ABJ theory. We discuss how the parameters in the ABJ theory should be related to the bulk coupling constant in the Vasiliev theory. For this purpose, we compute two-point function of stress tensor in the ABJ theory by using supersymmmetry localization. Our result justifies the proposal by arXiv:1504.00365 and determine the unknown coefficient in the previous work.

5.710626

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5.02189

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