LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1110.5424

Pascal Anastasopoulos

Pascal Anastasopoulos (Vienna, Tech. U.), Massimo Bianchi (Rome U., Tor Vergata and INFN, Rome2), Robert Richter (Rome U., Tor Vergata and INFN, Rome2 and Hamburg U., Inst. Theor. Phys. II)

Light stringy states

27 pages, 1 figure (v2 Minor corrections, references added)

null

10.1007/JHEP03(2012)068

TUW-11-23; ROM2F/2011/14; ZMP-HH/11-16

hep-th

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

We carefully study the spectrum of open strings localized at the intersections of D6-branes and identify the lowest massive 'twisted' states and their vertex operators, paying particular attention to the signs of the intersection angles. We argue that the masses of the lightest states scale as M^2 ~ \theta M^2_s and can thus be parametrically smaller than the string scale. Relying on previous analyses, we compute scattering amplitudes of massless 'twisted' open strings and study their factorization, confirming the presence of the light massive states as sub-dominant poles in one of the channels.

[ { "created": "Tue, 25 Oct 2011 07:27:45 GMT", "version": "v1" }, { "created": "Thu, 7 Aug 2014 16:19:03 GMT", "version": "v2" } ]

2015-05-30

[ [ "Anastasopoulos", "Pascal", "", "Vienna, Tech. U." ], [ "Bianchi", "Massimo", "", "Rome U.,\n Tor Vergata and INFN, Rome2" ], [ "Richter", "Robert", "", "Rome U., Tor Vergata and INFN,\n Rome2 and Hamburg U., Inst. Theor. Phys. II" ] ]

We carefully study the spectrum of open strings localized at the intersections of D6-branes and identify the lowest massive 'twisted' states and their vertex operators, paying particular attention to the signs of the intersection angles. We argue that the masses of the lightest states scale as M^2 ~ \theta M^2_s and can thus be parametrically smaller than the string scale. Relying on previous analyses, we compute scattering amplitudes of massless 'twisted' open strings and study their factorization, confirming the presence of the light massive states as sub-dominant poles in one of the channels.

11.912874

9.531028

10.81097

9.509084

10.486411

10.490658

9.898152

10.621644

9.923727

11.627883

10.057409

9.911441

10.638222

10.240364

10.033896

10.596709

10.225796

9.963669

10.154309

11.302798

10.301173

1402.1479

Congkao Wen

Yu-tin Huang, Congkao Wen, Dan Xie

The Positive orthogonal Grassmannian and loop amplitudes of ABJM

51 pages; V2: 52 pages; typos corrected, and added detailed discussion on tetrahedron equation

null

QMUL-PH-14-02

hep-th

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

In this paper we study the combinatorics associated with the positive orthogonal Grassmannian OG_k and its connection to ABJM scattering amplitudes. We present a canonical embedding of OG_k into the Grassmannian Gr(k,2k), from which we deduce the canonical volume form that is invariant under equivalence moves. Remarkably the canonical forms of all reducible graphs can be converted into irreducible ones with products of dLog forms. Unlike N=4 super Yang-Mills, here the Jacobian plays a crucial role to ensure the dLog form of the reduced representation. Furthermore, we identify the functional map that arises from the triangle equivalence move as a 3-string scattering S-matrix which satisfies the tetrahedron equations by Zamolodchikov, implying (2+1)-dimensional integrability. We study the solution to the BCFW recursion relation for loop amplitudes, and demonstrate the presence of all physical singularities as well as the absence of all spurious ones. The on-shell diagram solution to the loop recursion relation exhibits manifest two-site cyclic symmetry and reveals that, to all loop, four and six-point amplitudes only have logarithmic singularities.

[ { "created": "Thu, 6 Feb 2014 20:38:38 GMT", "version": "v1" }, { "created": "Mon, 24 Feb 2014 14:34:07 GMT", "version": "v2" } ]

2014-02-25

[ [ "Huang", "Yu-tin", "" ], [ "Wen", "Congkao", "" ], [ "Xie", "Dan", "" ] ]

In this paper we study the combinatorics associated with the positive orthogonal Grassmannian OG_k and its connection to ABJM scattering amplitudes. We present a canonical embedding of OG_k into the Grassmannian Gr(k,2k), from which we deduce the canonical volume form that is invariant under equivalence moves. Remarkably the canonical forms of all reducible graphs can be converted into irreducible ones with products of dLog forms. Unlike N=4 super Yang-Mills, here the Jacobian plays a crucial role to ensure the dLog form of the reduced representation. Furthermore, we identify the functional map that arises from the triangle equivalence move as a 3-string scattering S-matrix which satisfies the tetrahedron equations by Zamolodchikov, implying (2+1)-dimensional integrability. We study the solution to the BCFW recursion relation for loop amplitudes, and demonstrate the presence of all physical singularities as well as the absence of all spurious ones. The on-shell diagram solution to the loop recursion relation exhibits manifest two-site cyclic symmetry and reveals that, to all loop, four and six-point amplitudes only have logarithmic singularities.

14.065127

14.215076

14.813308

12.927477

13.718575

14.762959

13.486994

13.17177

13.093337

16.369162

13.407788

13.332746

13.861235

12.879751

13.31149

12.964893

12.732545

12.950574

12.804856

13.914109

12.362338

hep-th/0009171

Arkady Tseytlin

R.R. Metsaev, C.B. Thorn and A.A. Tseytlin

Light-cone Superstring in AdS Space-time

34 pages, latex. v3: section 5.4 revised. v4: minor corrections, version to appear in NPB

Nucl.Phys.B596:151-184,2001

10.1016/S0550-3213(00)00712-4

FIAN/TD/00-14, OHSTPY-HEP-T-00-017, UFIFT-HEP-00-26

hep-th

null

We consider fixing the bosonic light-cone gauge for string in AdS in the phase space framework, i.e. by choosing $x^+ = \tau$, and by choosing $\sigma$ so that $P^+$ is distributed uniformly (its density is independent of $\sigma$). We discuss classical bosonic string in AdS space and superstring in AdS_5 x S^5. In the latter case the starting point is the action found in hep-th/0007036 where the kappa-symmetry is fixed by a fermionic light cone gauge. We derive the light cone Hamiltonian in the AdS_5 x S^5 case and in the case of superstring in AdS_3 x S^3. We also obtain a realization of the generators of the basic symmetry superalgebra psu(2,2|4) in terms of the AdS_5 x S^5 superstring coordinate fields.

[ { "created": "Thu, 21 Sep 2000 22:01:07 GMT", "version": "v1" }, { "created": "Thu, 21 Sep 2000 23:10:18 GMT", "version": "v2" }, { "created": "Thu, 12 Oct 2000 00:44:53 GMT", "version": "v3" }, { "created": "Wed, 15 Nov 2000 00:03:33 GMT", "version": "v4" } ]

2009-09-17

[ [ "Metsaev", "R. R.", "" ], [ "Thorn", "C. B.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We consider fixing the bosonic light-cone gauge for string in AdS in the phase space framework, i.e. by choosing $x^+ = \tau$, and by choosing $\sigma$ so that $P^+$ is distributed uniformly (its density is independent of $\sigma$). We discuss classical bosonic string in AdS space and superstring in AdS_5 x S^5. In the latter case the starting point is the action found in hep-th/0007036 where the kappa-symmetry is fixed by a fermionic light cone gauge. We derive the light cone Hamiltonian in the AdS_5 x S^5 case and in the case of superstring in AdS_3 x S^3. We also obtain a realization of the generators of the basic symmetry superalgebra psu(2,2|4) in terms of the AdS_5 x S^5 superstring coordinate fields.

6.922393

6.45433

7.577069

6.310189

7.231548

6.184117

6.306675

6.477882

6.148222

8.303072

6.15341

6.157248

7.185409

6.600189

6.513469

6.387294

6.476383

6.41644

6.451169

7.31388

6.458734

2211.05699

Jeongwon Ho

Jeongwon Ho, O-Kab Kwon, Sang-A Park, Sang-Heon Yi

Supersymmetric Backgrounds in $(1+1)$ Dimensions and Inhomogeneous Field Theory

V1: 1+46 pages, 10 figures. V2: Minor typos fixed, V3: Added some references with major improvement, 1+48 pages,V4: Minor corrections, Published version, 1+50 pages

null

hep-th gr-qc

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

We find a $(1+1)$-dimensional metric solution for a background hosting various supersymmetric field theories with a single non-chiral real supercharge. This supersymmetric background is globally hyperbolic even though it contains a naked null singularity. In this regard, we show that scalar wave propagation on the background is well-defined and so the curvature singularity is a {\it mild} one. Taking inspiration from our previous work, we relate the field theory on this curved background to some classes of $(1+1)$-dimensional inhomogeneous field theory in the supersymmetric setup. Utilizing our supersymmetric background, we elucidate the limitations of canonical quantization and highlight the conceptual advantages of the algebraic approach to quantization.

[ { "created": "Thu, 10 Nov 2022 17:08:50 GMT", "version": "v1" }, { "created": "Mon, 14 Nov 2022 14:02:37 GMT", "version": "v2" }, { "created": "Wed, 17 May 2023 13:14:48 GMT", "version": "v3" }, { "created": "Fri, 8 Dec 2023 11:21:07 GMT", "version": "v4" } ]

2023-12-11

[ [ "Ho", "Jeongwon", "" ], [ "Kwon", "O-Kab", "" ], [ "Park", "Sang-A", "" ], [ "Yi", "Sang-Heon", "" ] ]

We find a $(1+1)$-dimensional metric solution for a background hosting various supersymmetric field theories with a single non-chiral real supercharge. This supersymmetric background is globally hyperbolic even though it contains a naked null singularity. In this regard, we show that scalar wave propagation on the background is well-defined and so the curvature singularity is a {\it mild} one. Taking inspiration from our previous work, we relate the field theory on this curved background to some classes of $(1+1)$-dimensional inhomogeneous field theory in the supersymmetric setup. Utilizing our supersymmetric background, we elucidate the limitations of canonical quantization and highlight the conceptual advantages of the algebraic approach to quantization.

12.686547

11.565356

11.805939

11.596538

11.161212

12.389162

12.49204

12.361127

11.715774

13.896846

12.079619

11.795596

11.643423

11.786963

11.581249

11.882874

11.863446

11.556249

11.734937

12.474561

11.829198

hep-th/0701087

Niels Obers

Romuald A. Janik, Niels A. Obers, Peter B. Ronne

Factorization of Seiberg-Witten Curves with Fundamental Matter

24 pages, 2 figures

JHEP 0705:080,2007

10.1088/1126-6708/2007/05/080

null

hep-th

null

We present an explicit construction of the factorization of Seiberg-Witten curves for N=2 theory with fundamental flavors. We first rederive the exact results for the case of complete factorization, and subsequently derive new results for the case with breaking of gauge symmetry U(Nc) to U(N1)xU(N2). We also show that integrality of periods is necessary and sufficient for factorization in the case of general gauge symmetry breaking. Finally, we briefly comment on the relevance of these results for the structure of N=1 vacua.

[ { "created": "Wed, 10 Jan 2007 15:21:00 GMT", "version": "v1" } ]

2009-11-13

[ [ "Janik", "Romuald A.", "" ], [ "Obers", "Niels A.", "" ], [ "Ronne", "Peter B.", "" ] ]

We present an explicit construction of the factorization of Seiberg-Witten curves for N=2 theory with fundamental flavors. We first rederive the exact results for the case of complete factorization, and subsequently derive new results for the case with breaking of gauge symmetry U(Nc) to U(N1)xU(N2). We also show that integrality of periods is necessary and sufficient for factorization in the case of general gauge symmetry breaking. Finally, we briefly comment on the relevance of these results for the structure of N=1 vacua.

8.980004

8.224075

8.757763

7.922573

7.640972

7.507867

8.047841

7.911134

8.101907

10.850679

8.073756

7.761459

8.884143

8.430784

8.288777

8.062467

8.152548

8.11647

8.354156

8.942321

8.15078

hep-th/0405252

Sergey Solodukhin

Sergey N. Solodukhin

Reconstructing Minkowski Space-Time

37 pages, 1 figure

null

IUB-TH-045

hep-th gr-qc math.DG

null

Minkowski space is a physically important space-time for which the finding an adequate holographic description is an urgent problem. In this paper we develop further the proposal made in hep-th/0303006 for the description as a duality between Minkowski space-time and a Conformal Field Theory defined on the boundary of the light-cone. We focus on the gravitational aspects of the duality. Specifically, we identify the gravitational holographic data and provide the way Minkowski space-time (understood in more general context as a Ricci-flat space) is reconstructed from the data. In order to avoid the complexity of non-linear Einstein equations we consider linear perturbations and do the analysis for the perturbations. The analysis proceeds in two steps. We first reduce the problem in Minkowski space to an infinite set of field equations on de Sitter space one dimension lower. These equations are quite remarkable: they describe massless and massive gravitons in de Sitter space. In particular, the partially massless graviton appears naturally in this reduction. In the second step we solve the graviton field equations and identify the holographic boundary data. Finally, we consider the asymptotic form of the black hole space-time and identify the way the information about the mass of the static gravitational configuration is encoded in the holographic data.

[ { "created": "Thu, 27 May 2004 10:29:25 GMT", "version": "v1" }, { "created": "Fri, 18 Jun 2004 11:30:46 GMT", "version": "v2" } ]

2009-09-29

[ [ "Solodukhin", "Sergey N.", "" ] ]

Minkowski space is a physically important space-time for which the finding an adequate holographic description is an urgent problem. In this paper we develop further the proposal made in hep-th/0303006 for the description as a duality between Minkowski space-time and a Conformal Field Theory defined on the boundary of the light-cone. We focus on the gravitational aspects of the duality. Specifically, we identify the gravitational holographic data and provide the way Minkowski space-time (understood in more general context as a Ricci-flat space) is reconstructed from the data. In order to avoid the complexity of non-linear Einstein equations we consider linear perturbations and do the analysis for the perturbations. The analysis proceeds in two steps. We first reduce the problem in Minkowski space to an infinite set of field equations on de Sitter space one dimension lower. These equations are quite remarkable: they describe massless and massive gravitons in de Sitter space. In particular, the partially massless graviton appears naturally in this reduction. In the second step we solve the graviton field equations and identify the holographic boundary data. Finally, we consider the asymptotic form of the black hole space-time and identify the way the information about the mass of the static gravitational configuration is encoded in the holographic data.

8.659596

8.64354

9.050397

8.362552

8.904299

8.459212

9.260189

8.732761

8.659575

9.135196

8.127543

8.558741

8.442204

8.108703

8.33485

8.386437

8.431199

8.287507

8.251982

8.515186

8.378175

1411.7041

Xi Dong

Ahmed Almheiri, Xi Dong, Daniel Harlow

Bulk Locality and Quantum Error Correction in AdS/CFT

30 pages plus appendices, 10 figures. v2: section 5.1 rewritten to give a better extension of the commutator paradox to higher orders in 1/N. Other minor clarifications. v3: new reference and acknowledgement added

JHEP 1504:163,2015

10.1007/JHEP04(2015)163

SU-ITP-14/30

hep-th gr-qc quant-ph

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

We point out a connection between the emergence of bulk locality in AdS/CFT and the theory of quantum error correction. Bulk notions such as Bogoliubov transformations, location in the radial direction, and the holographic entropy bound all have natural CFT interpretations in the language of quantum error correction. We also show that the question of whether bulk operator reconstruction works only in the causal wedge or all the way to the extremal surface is related to the question of whether or not the quantum error correcting code realized by AdS/CFT is also a "quantum secret sharing scheme", and suggest a tensor network calculation that may settle the issue. Interestingly, the version of quantum error correction which is best suited to our analysis is the somewhat nonstandard "operator algebra quantum error correction" of Beny, Kempf, and Kribs. Our proposal gives a precise formulation of the idea of "subregion-subregion" duality in AdS/CFT, and clarifies the limits of its validity.

[ { "created": "Tue, 25 Nov 2014 21:01:01 GMT", "version": "v1" }, { "created": "Sat, 21 Feb 2015 20:52:56 GMT", "version": "v2" }, { "created": "Tue, 28 Jul 2015 18:32:49 GMT", "version": "v3" } ]

2015-07-29

[ [ "Almheiri", "Ahmed", "" ], [ "Dong", "Xi", "" ], [ "Harlow", "Daniel", "" ] ]

We point out a connection between the emergence of bulk locality in AdS/CFT and the theory of quantum error correction. Bulk notions such as Bogoliubov transformations, location in the radial direction, and the holographic entropy bound all have natural CFT interpretations in the language of quantum error correction. We also show that the question of whether bulk operator reconstruction works only in the causal wedge or all the way to the extremal surface is related to the question of whether or not the quantum error correcting code realized by AdS/CFT is also a "quantum secret sharing scheme", and suggest a tensor network calculation that may settle the issue. Interestingly, the version of quantum error correction which is best suited to our analysis is the somewhat nonstandard "operator algebra quantum error correction" of Beny, Kempf, and Kribs. Our proposal gives a precise formulation of the idea of "subregion-subregion" duality in AdS/CFT, and clarifies the limits of its validity.

6.992804

8.636896

9.700854

8.267905

7.582203

7.47051

8.365676

7.54528

7.665035

9.89647

7.657797

7.086322

7.762155

7.164631

6.994264

6.96557

6.984188

7.250615

7.283708

7.929062

7.140535

hep-th/9909048

Ichiro Oda

Mass Hierarchy and Trapping of Gravity

11 pages, LaTex 2e

Phys.Lett. B472 (2000) 59-66

10.1016/S0370-2693(99)01423-9

EDO-EP-29

hep-th hep-ph

null

We construct a model consisting of many D3-branes with only positive tension in a five-dimensional anti-de Sitter space-time geometry. It is shown that this type of model naturally realizes not only exponential mass hierarchy between the Planck scale and the electroweak scale but also trapping of the graviton on the D3-branes. It is pointed out that our model may have a flexibility to explain the existence of more than one disparate mass scales, such as the electroweak scale and the GUT scale, on the same D3-brane.

[ { "created": "Wed, 8 Sep 1999 18:56:22 GMT", "version": "v1" } ]

2009-10-31

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

We construct a model consisting of many D3-branes with only positive tension in a five-dimensional anti-de Sitter space-time geometry. It is shown that this type of model naturally realizes not only exponential mass hierarchy between the Planck scale and the electroweak scale but also trapping of the graviton on the D3-branes. It is pointed out that our model may have a flexibility to explain the existence of more than one disparate mass scales, such as the electroweak scale and the GUT scale, on the same D3-brane.

7.811054

6.590816

7.073984

6.359968

6.435391

6.802156

6.7587

6.67244

6.604321

7.364954

6.856446

7.046009

7.087581

7.033523

7.385158

7.203339

7.160555

7.038476

7.200078

7.118382

6.953218

hep-th/9606165

Joe Polchinski

Joseph Polchinski

Tensors from K3 Orientifolds

References added. 16 pages, LaTeX

Phys.Rev.D55:6423-6428,1997

10.1103/PhysRevD.55.6423

NSF-ITP-96-54

hep-th

null

Recently Gimon and Johnson (hep-th/9604129) and Dabholkar and Park (hep-th/9604178) have constructed Type I theories on K3 orbifolds. The spectra differ from that of Type I on a smooth K3, having extra tensors. We show that the orbifold theories cannot be blown up to smooth K3's, but rather $Z_2$ orbifold singularities always remain. Douglas's recent proposal to use D-branes as probes is useful in understanding the geometry. The $Z_2$ singularities are of a new type, with a different orientifold projection from those previously considered. We also find a new world-sheet consistency condition that must be satisfied by orientifold models.

[ { "created": "Wed, 26 Jun 1996 05:43:17 GMT", "version": "v1" }, { "created": "Sat, 6 Jul 1996 00:24:44 GMT", "version": "v2" } ]

2009-10-09

[ [ "Polchinski", "Joseph", "" ] ]

Recently Gimon and Johnson (hep-th/9604129) and Dabholkar and Park (hep-th/9604178) have constructed Type I theories on K3 orbifolds. The spectra differ from that of Type I on a smooth K3, having extra tensors. We show that the orbifold theories cannot be blown up to smooth K3's, but rather $Z_2$ orbifold singularities always remain. Douglas's recent proposal to use D-branes as probes is useful in understanding the geometry. The $Z_2$ singularities are of a new type, with a different orientifold projection from those previously considered. We also find a new world-sheet consistency condition that must be satisfied by orientifold models.

10.524387

9.443472

11.279622

8.894576

10.17767

9.79848

9.585495

8.945521

9.230891

14.226152

9.571544

8.782524

9.536733

9.067611

9.14395

9.304302

9.099817

8.862326

9.114502

9.724439

9.0832

2402.13166

Madhur Mehta

Samir D. Mathur and Madhur Mehta

The universal thermodynamic properties of Extremely Compact Objects

51 pages, 4 figures v4: more references added

null

hep-th gr-qc

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

An extremely compact object (ECO) is defined as a quantum object without horizon, whose radius is just a small distance $s$ outside its Schwarzschild radius. We show that any ECO of mass $M$ in $d+1$ dimensions with $s\ll (M/m_p)^{2/(d-2)(d+1)}l_p$ must have (at leading order) the same thermodynamic properties -- temperature, entropy and radiation rates -- as the corresponding semiclassical black hole of mass $M$. An essential aspect of the argument involves showing that the Tolman-Oppenheimer-Volkoff equation has no consistent solution in the region just outside the ECO surface, unless this region is filled with radiation at the (appropriately blueshifted) Hawking temperature. In string theory it has been found that black hole microstates are fuzzballs -- objects with no horizon -- which are expected to have a radius that is only a little larger than the horizon radius. Thus the arguments of this paper provide a nice closure to the fuzzball paradigm: the absence of a horizon removes the information paradox, and the thermodynamic properties of the semiclassical hole are nonetheless recovered to an excellent approximation.

[ { "created": "Tue, 20 Feb 2024 17:27:26 GMT", "version": "v1" }, { "created": "Mon, 4 Mar 2024 15:38:54 GMT", "version": "v2" }, { "created": "Tue, 9 Apr 2024 14:27:59 GMT", "version": "v3" }, { "created": "Mon, 6 May 2024 15:22:44 GMT", "version": "v4" } ]

2024-05-07

[ [ "Mathur", "Samir D.", "" ], [ "Mehta", "Madhur", "" ] ]

An extremely compact object (ECO) is defined as a quantum object without horizon, whose radius is just a small distance $s$ outside its Schwarzschild radius. We show that any ECO of mass $M$ in $d+1$ dimensions with $s\ll (M/m_p)^{2/(d-2)(d+1)}l_p$ must have (at leading order) the same thermodynamic properties -- temperature, entropy and radiation rates -- as the corresponding semiclassical black hole of mass $M$. An essential aspect of the argument involves showing that the Tolman-Oppenheimer-Volkoff equation has no consistent solution in the region just outside the ECO surface, unless this region is filled with radiation at the (appropriately blueshifted) Hawking temperature. In string theory it has been found that black hole microstates are fuzzballs -- objects with no horizon -- which are expected to have a radius that is only a little larger than the horizon radius. Thus the arguments of this paper provide a nice closure to the fuzzball paradigm: the absence of a horizon removes the information paradox, and the thermodynamic properties of the semiclassical hole are nonetheless recovered to an excellent approximation.

8.233204

8.52411

8.568666

7.380085

8.124619

8.343125

8.455675

7.952055

8.001682

8.980879

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7.92075

7.988961

7.796647

7.893673

8.026524

8.266414

7.789629

7.838042

7.941812

8.025391

0708.0016

Aaron Simons

Joshua M. Lapan, Aaron Simons, Andrew Strominger

Nearing the Horizon of a Heterotic String

harvmac; corrected typos in eqns (2.17) and (2.18)

null

hep-th

null

It is argued that recent developments point to the existence of an AdS_3 x S^2 x T^5 holographic dual for the 2D CFT living on the worldsheet of N coincident heterotic strings in a T^5 compactification, which can in turn be described by an exact worldsheet CFT. A supergravity analysis is shown to imply that the global supergroup is Osp(4^*|4), with 16 supercharges and an affine extension given, surprisingly, by a nonlinear N=8 2D superconformal algebra. Possible supergroups with 16 supercharges are also found to match the expected symmetries for T^n compactification with 0<=n<=7.

[ { "created": "Wed, 1 Aug 2007 17:02:09 GMT", "version": "v1" }, { "created": "Mon, 31 Mar 2008 22:35:23 GMT", "version": "v2" } ]

2008-04-01

[ [ "Lapan", "Joshua M.", "" ], [ "Simons", "Aaron", "" ], [ "Strominger", "Andrew", "" ] ]

It is argued that recent developments point to the existence of an AdS_3 x S^2 x T^5 holographic dual for the 2D CFT living on the worldsheet of N coincident heterotic strings in a T^5 compactification, which can in turn be described by an exact worldsheet CFT. A supergravity analysis is shown to imply that the global supergroup is Osp(4^*|4), with 16 supercharges and an affine extension given, surprisingly, by a nonlinear N=8 2D superconformal algebra. Possible supergroups with 16 supercharges are also found to match the expected symmetries for T^n compactification with 0<=n<=7.

10.019974

8.713255

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9.024962

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9.626757

8.653128

8.981665

9.49006

12.223866

8.752588

8.96393

9.446975

9.163836

9.184352

9.326196

9.091878

8.880697

9.115904

9.339593

8.83265

hep-th/9506024

null

C. Gomez and E. Lopez

A Note on the String Analog of $N=2$ Super-Symmetric Yang-Mills

7 pages, Latex

Phys.Lett. B356 (1995) 487-491

10.1016/0370-2693(95)00837-B

null

hep-th

null

A connection between the conifold locus of the type II string on the $W\:P_{11226}^4$ Calabi-Yau manifold and the geometry of the quantum moduli of $N = 2$ $SU(2)$ super Yang-Mills is presented. This relation is obtained from the anomalous behaviour of the $SU(2)$ super Yang-Mills special coordinates under $S$-duality transformation in $Sl(2;Z) / \Gamma_2$.

[ { "created": "Sun, 4 Jun 1995 17:08:18 GMT", "version": "v1" } ]

2009-10-28

[ [ "Gomez", "C.", "" ], [ "Lopez", "E.", "" ] ]

A connection between the conifold locus of the type II string on the $W\:P_{11226}^4$ Calabi-Yau manifold and the geometry of the quantum moduli of $N = 2$ $SU(2)$ super Yang-Mills is presented. This relation is obtained from the anomalous behaviour of the $SU(2)$ super Yang-Mills special coordinates under $S$-duality transformation in $Sl(2;Z) / \Gamma_2$.

12.478544

11.966936

12.110547

10.166895

11.110804

10.733751

10.927265

10.908675

9.463928

12.743165

10.639591

10.998459

10.68076

10.339898

10.228023

10.213178

10.345636

10.518086

10.190148

11.109215

10.07268

1012.2567

Kaparulin Dmitry Sergeevich

D.S. Kaparulin, S.L. Lyakhovich, A.A. Sharapov

A remark on the Lagrange structure of the unfolded field theory

17 pages, minor corrections

Int.J.Mod.Phys.A26:1347-1362, 2011

10.1142/S0217751X11052840

null

hep-th

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

Any local field theory can be equivalently reformulated in the so-called unfolded form. General unfolded equations are non-Lagrangian even though the original theory is Lagrangian. Using the theory of a scalar field as a basic example, the concept of Lagrange anchor is applied to perform a consistent path-integral quantization of unfolded dynamics. It is shown that the unfolded representation for the canonical Lagrange anchor of the d'Alembert equation inevitably involves an infinite number of space-time derivatives.

[ { "created": "Sun, 12 Dec 2010 18:12:31 GMT", "version": "v1" }, { "created": "Thu, 23 Dec 2010 16:45:46 GMT", "version": "v2" } ]

2011-06-24

[ [ "Kaparulin", "D. S.", "" ], [ "Lyakhovich", "S. L.", "" ], [ "Sharapov", "A. A.", "" ] ]

Any local field theory can be equivalently reformulated in the so-called unfolded form. General unfolded equations are non-Lagrangian even though the original theory is Lagrangian. Using the theory of a scalar field as a basic example, the concept of Lagrange anchor is applied to perform a consistent path-integral quantization of unfolded dynamics. It is shown that the unfolded representation for the canonical Lagrange anchor of the d'Alembert equation inevitably involves an infinite number of space-time derivatives.

11.969337

10.888402

12.452999

10.135643

9.817683

10.954723

10.273798

10.193801

11.148244

11.872118

9.57209

10.381134

11.116042

10.09168

10.400908

10.377836

10.134299

10.348187

10.023818

10.597264

10.237546

1605.01008

Nadia Bolis

Nadia Bolis, Andreas Albrecht, R. Holman

Modifications to Cosmological Power Spectra from Scalar-Tensor Entanglement and their Observational Consequences

29 pages, 15 figures Third version: Published in JCAP. Includes improvements to toy model in Section 5 to better explain origin of oscillations and changes to Appendix C to complement this discussion. The discussion in the final Appendix has also been slightly modified for clarity

JCAP 1612 (2016) 011

10.1088/1475-7516/2016/12/011

null

hep-th astro-ph.CO gr-qc

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

We consider the effects of entanglement in the initial quantum state of scalar and tensor fluctuations during inflation. We allow the gauge-invariant scalar and tensor fluctuations to be entangled in the initial state and compute modifications to the various cosmological power spectra. We compute the angular power spectra ($C_l$'s) for some specific cases of our entangled state and discuss what signals one might expect to find in CMB data. This entanglement also can break rotational invariance, allowing for the possibility that some of the large scale anomalies in the CMB power spectrum might be explained by this mechanism.

[ { "created": "Tue, 3 May 2016 18:16:50 GMT", "version": "v1" }, { "created": "Mon, 16 May 2016 18:28:51 GMT", "version": "v2" }, { "created": "Wed, 11 Jan 2017 19:52:39 GMT", "version": "v3" } ]

2017-01-13

[ [ "Bolis", "Nadia", "" ], [ "Albrecht", "Andreas", "" ], [ "Holman", "R.", "" ] ]

We consider the effects of entanglement in the initial quantum state of scalar and tensor fluctuations during inflation. We allow the gauge-invariant scalar and tensor fluctuations to be entangled in the initial state and compute modifications to the various cosmological power spectra. We compute the angular power spectra ($C_l$'s) for some specific cases of our entangled state and discuss what signals one might expect to find in CMB data. This entanglement also can break rotational invariance, allowing for the possibility that some of the large scale anomalies in the CMB power spectrum might be explained by this mechanism.

8.855501

8.739262

8.2346

8.054284

7.873923

8.256461

8.79896

7.415939

7.926627

7.988433

8.082556

8.138372

7.790877

8.036309

7.879503

8.232176

8.128679

7.962337

8.53225

8.14893

8.042518

1904.00653

Bart{\l}omiej Kiczek

Bart{\l}omiej Kiczek, Marek Rogatko, Karol I. Wysoki\'nski

Holographic DC SQUID in the presence of dark matter

JCAP style, 22 pages, 9 figures

JCAP01(2021)063

10.1088/1475-7516/2021/01/063

null

hep-th gr-qc

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

The gauge-gravity duality has been applied to examine the properties of holographic superconducting quantum device (SQUID), composed of two S-N-S Josephson junctions, influenced by dark sector modelled by the additional $U(1)$-gauge field coupled to the ordinary Maxwell one. The dark matter sector is known to affect the properties of superconductors and is expected to enter the current-phase relation. The kinetic mixing between two gauge fields provides a mechanism allowing for the conceivable observation of the effect. We find small but visible effect of the dark matter particle traversing the device, which shows up as a change of its maximal current.

[ { "created": "Mon, 1 Apr 2019 09:30:40 GMT", "version": "v1" }, { "created": "Wed, 3 Apr 2019 10:32:47 GMT", "version": "v2" }, { "created": "Tue, 20 Oct 2020 15:42:11 GMT", "version": "v3" } ]

2021-02-01

[ [ "Kiczek", "Bartłomiej", "" ], [ "Rogatko", "Marek", "" ], [ "Wysokiński", "Karol I.", "" ] ]

The gauge-gravity duality has been applied to examine the properties of holographic superconducting quantum device (SQUID), composed of two S-N-S Josephson junctions, influenced by dark sector modelled by the additional $U(1)$-gauge field coupled to the ordinary Maxwell one. The dark matter sector is known to affect the properties of superconductors and is expected to enter the current-phase relation. The kinetic mixing between two gauge fields provides a mechanism allowing for the conceivable observation of the effect. We find small but visible effect of the dark matter particle traversing the device, which shows up as a change of its maximal current.

16.711845

15.070594

17.724825

14.185289

15.404284

17.256895

14.336256

13.664018

14.323827

17.972424

15.470958

15.848186

15.683467

14.837346

15.605773

15.050555

15.892346

15.146267

15.482829

16.163813

15.797802

hep-th/0512051

Eleonora Dell'Aquila

D-branes in Toroidal Orbifolds and Mirror Symmetry

30 pages, 2 figures

JHEP0604:035,2006

10.1088/1126-6708/2006/04/035

null

hep-th

null

We study D-branes extended in T^2/Z_4 using the mirror description as a tensor product of minimal models. We describe branes in the mirror both as boundary states in minimal models and as matrix factorizations in the corresponding Landau-Ginzburg model. We isolate a minimal set of branes and give a geometric interpretation of these as D1-branes constrained to the orbifold fixed points. This picture is supported both by spacetime arguments and by the explicit construction of the boundary states, adapting the known results for rational boundary states in the minimal models. Similar techniques apply to a larger class of toroidal orbifolds.

[ { "created": "Mon, 5 Dec 2005 19:11:53 GMT", "version": "v1" } ]

2009-11-11

[ [ "Dell'Aquila", "Eleonora", "" ] ]

We study D-branes extended in T^2/Z_4 using the mirror description as a tensor product of minimal models. We describe branes in the mirror both as boundary states in minimal models and as matrix factorizations in the corresponding Landau-Ginzburg model. We isolate a minimal set of branes and give a geometric interpretation of these as D1-branes constrained to the orbifold fixed points. This picture is supported both by spacetime arguments and by the explicit construction of the boundary states, adapting the known results for rational boundary states in the minimal models. Similar techniques apply to a larger class of toroidal orbifolds.

10.08456

8.81757

12.036666

9.439883

9.345431

9.395174

9.290545

9.2069

8.932994

11.581263

8.851693

8.989333

9.931188

9.139296

9.412403

9.215077

9.239766

9.32484

9.063333

10.059414

9.037613

2002.02020

Augusto Pl\'acido Cavalcante Melo de Lima

A.P.C.M. Lima, G. Alencar and R.R. Landim

Asymptotic States of Accelerated Qubits with Nonzero Background Temperature

5 figures(3 captioned). An improved version of this preprint has been accepted for publication in PRD on May 28, 2020

Phys. Rev. D 101, 125008 (2020)

10.1103/PhysRevD.101.125008

null

hep-th quant-ph

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

The study of the Unruh effect naturally raises the interest for a deeper understanding of the analogy between temperature and acceleration. A recurring question is whether an accelerated frame can be distinguished from an inertial thermal bath in pure thermodynamic experiments, such problem has been approached in the literature and a consensus is yet to be fully reached. In the present work we use the open quantum system formalism to investigate the case where both acceleration and background temperature are present. We find the asymptotic state density and entanglement generation from the Markovian evolution of accelerated qubits interacting with a thermal state of the external scalar field. Our results suggest that there is a very small asymmetry on the effects of the Unruh and background temperatures. Addressing the nonzero background temperature case is of both theoretical and phenomenological interest, thus the authors hope to enrich the existing discussions on the topic.

[ { "created": "Wed, 5 Feb 2020 22:18:51 GMT", "version": "v1" }, { "created": "Fri, 21 Feb 2020 01:32:53 GMT", "version": "v2" }, { "created": "Tue, 25 Feb 2020 15:19:21 GMT", "version": "v3" }, { "created": "Thu, 28 May 2020 16:21:48 GMT", "version": "v4" } ]

2020-07-01

[ [ "Lima", "A. P. C. M.", "" ], [ "Alencar", "G.", "" ], [ "Landim", "R. R.", "" ] ]

The study of the Unruh effect naturally raises the interest for a deeper understanding of the analogy between temperature and acceleration. A recurring question is whether an accelerated frame can be distinguished from an inertial thermal bath in pure thermodynamic experiments, such problem has been approached in the literature and a consensus is yet to be fully reached. In the present work we use the open quantum system formalism to investigate the case where both acceleration and background temperature are present. We find the asymptotic state density and entanglement generation from the Markovian evolution of accelerated qubits interacting with a thermal state of the external scalar field. Our results suggest that there is a very small asymmetry on the effects of the Unruh and background temperatures. Addressing the nonzero background temperature case is of both theoretical and phenomenological interest, thus the authors hope to enrich the existing discussions on the topic.

12.601603

12.908932

13.51176

12.952602

13.337766

13.374736

13.198828

12.657482

12.970006

13.659509

12.763584

12.529369

13.126272

12.644244

12.660004

12.859142

12.569657

12.660417

13.319401

12.856548

12.582857

1404.2448

Sudarshan Ananth

Y. S. Akshay and Sudarshan Ananth

Factorization of cubic vertices involving three different higher spin fields

7 pages

Nucl.Phys.B887:168-174,2014

10.1016/j.nuclphysb.2014.08.002

null

hep-th

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

We derive a class of cubic interaction vertices for three higher spin fields, with integer spins $\lambda_1$, $\lambda_2$, $\lambda_3$, by closing commutators of the Poincar\'e algebra in four-dimensional flat spacetime. We find that these vertices exhibit an interesting factorization property which allows us to identify off-shell perturbative relations between them.

[ { "created": "Wed, 9 Apr 2014 11:56:21 GMT", "version": "v1" }, { "created": "Thu, 28 Aug 2014 01:01:58 GMT", "version": "v2" } ]

2014-08-29

[ [ "Akshay", "Y. S.", "" ], [ "Ananth", "Sudarshan", "" ] ]

We derive a class of cubic interaction vertices for three higher spin fields, with integer spins $\lambda_1$, $\lambda_2$, $\lambda_3$, by closing commutators of the Poincar\'e algebra in four-dimensional flat spacetime. We find that these vertices exhibit an interesting factorization property which allows us to identify off-shell perturbative relations between them.

9.542235

7.532448

8.762169

7.249681

7.930119

8.105276

7.903731

6.887634

6.927143

8.882076

7.543733

7.808842

8.071719

8.017783

8.018777

8.083275

7.814321

7.95038

7.923387

8.272321

7.535764

hep-th/0205201

Nicholas Warner

Nicholas P. Warner

Gauged Supergravity and Holographic Field Theory

22 pages; 8 figures; Latex, cmmp.cls; Contribution to Future Perspectives in Theoretical Physics and Cosmology, Stephen Hawking's 60th Birthday Worshop

null

CITUSC/02-018; USC-02/03

hep-th

null

This is a slightly expanded version of my talk at Future Perspectives in Theoretical Physics and Cosmology, Stephen Hawking's 60th Birthday Worshop. I describe some of the issues that were important in gauged supergravity in the 1980's and how these, and related issues have once again become important in the study of holographic field theories.

[ { "created": "Mon, 20 May 2002 19:21:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Warner", "Nicholas P.", "" ] ]

This is a slightly expanded version of my talk at Future Perspectives in Theoretical Physics and Cosmology, Stephen Hawking's 60th Birthday Worshop. I describe some of the issues that were important in gauged supergravity in the 1980's and how these, and related issues have once again become important in the study of holographic field theories.

8.796866

7.970871

9.657147

7.90489

9.380955

9.632407

9.04089

8.841743

8.062593

8.966648

7.708529

7.915198

8.319166

7.706587

7.364079

7.454412

7.559235

8.083935

7.988842

7.795918

7.93801

0806.1080

Sun ChengYi

Cheng-Yi Sun

Phantom Energy Accretion onto Black Holes in Cyclic Universe

8 pages, no figure; typographical errors are corrected

Phys.Rev.D78:064060,2008

10.1103/PhysRevD.78.064060

null

hep-th

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

Black holes pose a serious problem in the cyclic or oscillating cosmology. It is speculated that, in the cyclic universe with phantom turnarounds, black holes will be torn apart by the phantom energy before turnaround before they can create any problems. In this paper, using the mechanism of the phantom accretion onto black holes, we find that black holes do not disappear before the phantom turnaround. But the remanent black holes will not cause any problems due to the Hawking evaporation.

[ { "created": "Fri, 6 Jun 2008 02:08:57 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2008 09:15:38 GMT", "version": "v2" } ]

2008-11-26

[ [ "Sun", "Cheng-Yi", "" ] ]

Black holes pose a serious problem in the cyclic or oscillating cosmology. It is speculated that, in the cyclic universe with phantom turnarounds, black holes will be torn apart by the phantom energy before turnaround before they can create any problems. In this paper, using the mechanism of the phantom accretion onto black holes, we find that black holes do not disappear before the phantom turnaround. But the remanent black holes will not cause any problems due to the Hawking evaporation.

11.625579

11.822836

10.101607

10.625173

12.341039

12.345235

13.166171

10.344543

10.411692

11.760307

10.610641

11.056871

10.314055

10.554129

10.542751

10.47271

10.428542

10.58471

10.709456

10.405619

10.65547

hep-th/9710112

Adam

A. Ritz

On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory

10 pages, analysis in section 3 modified, to appear in Phys. Lett. B

Phys.Lett. B434 (1998) 54-60

10.1016/S0370-2693(98)00748-5

Imperial/TP/97-98/5

hep-th

null

The constraints of N=2 supersymmetry, in combination with several other quite general assumptions, have recently been used to show that N=2 supersymmetric Yang-Mills theory has a low energy quantum parameter space symmetry characterised by the discrete group $\gu$. We show that if one also assumes the commutativity of renormalization group flow with the action of this group on the complexified coupling constant $\ta$, then this is sufficient to determine the non-perturbative $\beta$-function, given knowledge of its weak coupling behaviour. The result coincides with the outcome of direct calculations from the Seiberg-Witten solution.

[ { "created": "Tue, 14 Oct 1997 15:45:32 GMT", "version": "v1" }, { "created": "Tue, 9 Jun 1998 14:55:08 GMT", "version": "v2" } ]

2009-10-30

[ [ "Ritz", "A.", "" ] ]

The constraints of N=2 supersymmetry, in combination with several other quite general assumptions, have recently been used to show that N=2 supersymmetric Yang-Mills theory has a low energy quantum parameter space symmetry characterised by the discrete group $\gu$. We show that if one also assumes the commutativity of renormalization group flow with the action of this group on the complexified coupling constant $\ta$, then this is sufficient to determine the non-perturbative $\beta$-function, given knowledge of its weak coupling behaviour. The result coincides with the outcome of direct calculations from the Seiberg-Witten solution.

10.757215

9.749825

11.258558

9.576468

10.424964

9.13916

10.122846

9.733391

9.074491

11.078105

9.899141

9.395737

10.222196

9.341981

9.406098

9.319372

9.828166

9.347949

9.36219

10.211624

9.364802

1403.2606

Bruno Lima de Souza

Loriano Bonora, Stefano Giaccari and Bruno Lima de Souza

Trace anomalies in chiral theories revisited

16 pages; v2: added 2 references in a footnote; v3: a few typos corrected, published in JHEP

JHEP 07(2014)117

10.1007/JHEP07(2014)117

null

hep-th hep-ph

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

Motivated by the search for possible CP violating terms in the trace of the energy-momentum tensor in theories coupled to gravity we revisit the problem of trace anomalies in chiral theories. We recalculate the latter and ascertain that in the trace of the energy-momentum tensor of theories with chiral fermions at one-loop the Pontryagin density appears with an imaginary coefficient. We argue that this may break unitarity, in which case the trace anomaly has to be used as a selective criterion for theories, analogous to the chiral anomalies in gauge theories. We analyze some remarkable consequences of this fact, that seem to have been overlooked in the literature.

[ { "created": "Tue, 11 Mar 2014 15:14:09 GMT", "version": "v1" }, { "created": "Tue, 18 Mar 2014 15:53:45 GMT", "version": "v2" }, { "created": "Fri, 29 Aug 2014 15:15:12 GMT", "version": "v3" } ]

2015-06-19

[ [ "Bonora", "Loriano", "" ], [ "Giaccari", "Stefano", "" ], [ "de Souza", "Bruno Lima", "" ] ]

Motivated by the search for possible CP violating terms in the trace of the energy-momentum tensor in theories coupled to gravity we revisit the problem of trace anomalies in chiral theories. We recalculate the latter and ascertain that in the trace of the energy-momentum tensor of theories with chiral fermions at one-loop the Pontryagin density appears with an imaginary coefficient. We argue that this may break unitarity, in which case the trace anomaly has to be used as a selective criterion for theories, analogous to the chiral anomalies in gauge theories. We analyze some remarkable consequences of this fact, that seem to have been overlooked in the literature.

11.407964

11.223406

11.858463

10.155215

10.952615

11.614331

10.985725

10.568811

10.208423

11.650729

10.09606

10.837456

10.789511

10.925611

10.938293

10.901522

11.021039

11.108833

11.200864

11.347863

10.501188

hep-th/0012005

Mark S. Swanson

Path Integral Quantization of Dual Abelian Gauge Theory

LaTeX file, 7 pages

null

hep-th

null

The path integral for 3+1 abelian gauge theory is rewritten in terms of a real antisymmetric field allowing a dual action that couples the electric and magnetic currents to the photon and each other in a gauge invariant manner. Standard perturbative abelian quantum electrodynamics reemerges when the monopole current vanishes. For certain simple relationships between the monopole current and the electric current, the altered photon propagator can exhibit abelian charge confinement or develop mass, modeling effects believed to be present in non-abelian theories.

[ { "created": "Fri, 1 Dec 2000 15:01:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "Swanson", "Mark S.", "" ] ]

The path integral for 3+1 abelian gauge theory is rewritten in terms of a real antisymmetric field allowing a dual action that couples the electric and magnetic currents to the photon and each other in a gauge invariant manner. Standard perturbative abelian quantum electrodynamics reemerges when the monopole current vanishes. For certain simple relationships between the monopole current and the electric current, the altered photon propagator can exhibit abelian charge confinement or develop mass, modeling effects believed to be present in non-abelian theories.

14.77111

13.890562

14.070671

13.769209

14.155917

13.083304

14.261512

12.638103

13.208221

14.344596

14.098365

14.20579

14.734557

13.789153

14.315852

14.204121

13.930016

13.990769

13.886417

14.661444

14.915312

1806.00450

Barton Zwiebach

Matthew Headrick and Barton Zwiebach

Minimal-area metrics on the Swiss cross and punctured torus

59 pages, 41 figures. v2: Minor edits and reference updates

Commun. Math. Phys. (2020)

10.1007/s00220-020-03734-z

BRX-TH-6332, MIT-CTP-4897

hep-th math.DG

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

The closed string field theory minimal-area problem asks for the conformal metric of least area on a Riemann surface with the condition that all non-contractible closed curves have length at least 2\pi. Through every point in such a metric there is a geodesic that saturates the length condition, and saturating geodesics in a given homotopy class form a band. The extremal metric is unknown when bands of geodesics cross, as it happens for surfaces of non-zero genus. We use recently proposed convex programs to numerically find the minimal-area metric on the square torus with a square boundary, for various sizes of the boundary. For large enough boundary the problem is equivalent to the "Swiss cross" challenge posed by Strebel. We find that the metric is positively curved in the two-band region and flat in the single-band regions. For small boundary the metric develops a third band of geodesics wrapping around it, and has both regions of positive and negative curvature. This surface can be completed to provide the minimal-area metric on a once-punctured torus, representing a closed-string tadpole diagram.

[ { "created": "Fri, 1 Jun 2018 17:14:46 GMT", "version": "v1" }, { "created": "Tue, 6 Aug 2019 17:41:39 GMT", "version": "v2" } ]

2020-03-27

[ [ "Headrick", "Matthew", "" ], [ "Zwiebach", "Barton", "" ] ]

The closed string field theory minimal-area problem asks for the conformal metric of least area on a Riemann surface with the condition that all non-contractible closed curves have length at least 2\pi. Through every point in such a metric there is a geodesic that saturates the length condition, and saturating geodesics in a given homotopy class form a band. The extremal metric is unknown when bands of geodesics cross, as it happens for surfaces of non-zero genus. We use recently proposed convex programs to numerically find the minimal-area metric on the square torus with a square boundary, for various sizes of the boundary. For large enough boundary the problem is equivalent to the "Swiss cross" challenge posed by Strebel. We find that the metric is positively curved in the two-band region and flat in the single-band regions. For small boundary the metric develops a third band of geodesics wrapping around it, and has both regions of positive and negative curvature. This surface can be completed to provide the minimal-area metric on a once-punctured torus, representing a closed-string tadpole diagram.

10.775593

10.848264

11.816783

10.35415

9.412163

10.483049

10.460404

10.881865

10.409142

13.451423

10.135823

10.121501

10.927536

10.148903

10.254602

10.613873

10.580751

9.942234

10.506376

10.712791

10.027361

1506.02786

Marcus Sperling

Olaf Lechtenfeld, Alexander D. Popov, Marcus Sperling, Richard J. Szabo

Sasakian quiver gauge theories and instantons on cones over lens 5-spaces

v2: 54 pages, accepted for publication in Nuclear Physics B

null

10.1016/j.nuclphysb.2015.09.001

null

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

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

We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki-Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang-Mills equations on the associated Calabi-Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as K\"ahler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces.

[ { "created": "Tue, 9 Jun 2015 06:04:30 GMT", "version": "v1" }, { "created": "Mon, 14 Sep 2015 19:59:12 GMT", "version": "v2" } ]

2015-12-09

[ [ "Lechtenfeld", "Olaf", "" ], [ "Popov", "Alexander D.", "" ], [ "Sperling", "Marcus", "" ], [ "Szabo", "Richard J.", "" ] ]

We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki-Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang-Mills equations on the associated Calabi-Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as K\"ahler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces.

7.082195

6.202894

8.06658

6.179092

6.065089

6.116112

6.040699

6.312303

6.239052

8.601842

6.255348

6.780196

7.315742

6.667153

6.811356

6.593235

6.527153

6.656711

6.852045

7.469421

6.659141

1903.11676

Nemanja Kaloper

Dark Energy, $H_0$ and Weak Gravity Conjecture

8 pages LaTeX, v3:: added comments, matches published version

Int. J. Phys. D, 2019

10.1142/S0218271819440176

null

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

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

We point out that the physics at the extreme IR---cosmology---might provide tests of the physics of the extreme UV---the Weak Gravity Conjecture. The current discrepancies in the determination of $H_0$ may hint at a modification of $\Lambda$CDM. An extension which may fit better comprises of an early contribution to dark energy which `decays' into relativistic matter. On the other hand the discourse on WGC to date suggests that fields which support cosmic acceleration may produce relativistic matter after they traverse a $\sim$ Planckian distance in field space. We explain how this offers a simple realization of the requisite cosmic phenomenology. Thus if the resolution of $H_0$ discrepancies is really early dark energy that ends with a shower of relativistic matter and the current ideas on WGC are indicative, this may be a rare opportunity to link the two extreme limits of quantum field theory.

[ { "created": "Wed, 27 Mar 2019 19:52:17 GMT", "version": "v1" }, { "created": "Wed, 3 Apr 2019 18:02:24 GMT", "version": "v2" }, { "created": "Fri, 8 Nov 2019 04:57:02 GMT", "version": "v3" } ]

2019-11-11

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

We point out that the physics at the extreme IR---cosmology---might provide tests of the physics of the extreme UV---the Weak Gravity Conjecture. The current discrepancies in the determination of $H_0$ may hint at a modification of $\Lambda$CDM. An extension which may fit better comprises of an early contribution to dark energy which `decays' into relativistic matter. On the other hand the discourse on WGC to date suggests that fields which support cosmic acceleration may produce relativistic matter after they traverse a $\sim$ Planckian distance in field space. We explain how this offers a simple realization of the requisite cosmic phenomenology. Thus if the resolution of $H_0$ discrepancies is really early dark energy that ends with a shower of relativistic matter and the current ideas on WGC are indicative, this may be a rare opportunity to link the two extreme limits of quantum field theory.

18.474342

18.221048

17.157543

16.261993

19.945757

18.534182

19.558905

16.787373

15.926182

20.717741

17.690281

16.290901

16.076906

16.527645

16.721344

16.704222

16.972118

16.453634

16.22031

17.079666

16.231646

hep-th/0204081

Eric Woolgar

G.J. Galloway, S. Surya, E. Woolgar

On the Geometry and Mass of Static, Asymptotically AdS Spacetimes, and the Uniqueness of the AdS Soliton

Accepted version, Commun Math Phys; Added Remark IV.3 and supporting material dealing with non-uniqueness arising from choice of special cycle on the boundary at infinity; 2 new citations added; LaTeX 27 pages

Commun.Math.Phys. 241 (2003) 1-25

10.1007/s00220-003-0912-7

null

hep-th gr-qc math.DG

null

We prove two theorems, announced in hep-th/0108170, for static spacetimes that solve Einstein's equation with negative cosmological constant. The first is a general structure theorem for spacetimes obeying a certain convexity condition near infinity, analogous to the structure theorems of Cheeger and Gromoll for manifolds of non-negative Ricci curvature. For spacetimes with Ricci-flat conformal boundary, the convexity condition is associated with negative mass. The second theorem is a uniqueness theorem for the negative mass AdS soliton spacetime. This result lends support to the new positive mass conjecture due to Horowitz and Myers which states that the unique lowest mass solution which asymptotes to the AdS soliton is the soliton itself. This conjecture was motivated by a nonsupersymmetric version of the AdS/CFT correspondence. Our results add to the growing body of rigorous mathematical results inspired by the AdS/CFT correspondence conjecture. Our techniques exploit a special geometric feature which the universal cover of the soliton spacetime shares with familiar ``ground state'' spacetimes such as Minkowski spacetime, namely, the presence of a null line, or complete achronal null geodesic, and the totally geodesic null hypersurface that it determines. En route, we provide an analysis of the boundary data at conformal infinity for the Lorentzian signature static Einstein equations, in the spirit of the Fefferman-Graham analysis for the Riemannian signature case. This leads us to generalize to arbitrary dimension a mass definition for static asymptotically AdS spacetimes given by Chru\'sciel and Simon. We prove equivalence of this mass definition with those of Ashtekar-Magnon and Hawking-Horowitz.

[ { "created": "Tue, 9 Apr 2002 19:53:35 GMT", "version": "v1" }, { "created": "Wed, 10 Apr 2002 15:17:04 GMT", "version": "v2" }, { "created": "Wed, 10 Jul 2002 15:41:43 GMT", "version": "v3" }, { "created": "Wed, 22 Jan 2003 19:12:09 GMT", "version": "v4" } ]

2009-11-07

[ [ "Galloway", "G. J.", "" ], [ "Surya", "S.", "" ], [ "Woolgar", "E.", "" ] ]

We prove two theorems, announced in hep-th/0108170, for static spacetimes that solve Einstein's equation with negative cosmological constant. The first is a general structure theorem for spacetimes obeying a certain convexity condition near infinity, analogous to the structure theorems of Cheeger and Gromoll for manifolds of non-negative Ricci curvature. For spacetimes with Ricci-flat conformal boundary, the convexity condition is associated with negative mass. The second theorem is a uniqueness theorem for the negative mass AdS soliton spacetime. This result lends support to the new positive mass conjecture due to Horowitz and Myers which states that the unique lowest mass solution which asymptotes to the AdS soliton is the soliton itself. This conjecture was motivated by a nonsupersymmetric version of the AdS/CFT correspondence. Our results add to the growing body of rigorous mathematical results inspired by the AdS/CFT correspondence conjecture. Our techniques exploit a special geometric feature which the universal cover of the soliton spacetime shares with familiar ``ground state'' spacetimes such as Minkowski spacetime, namely, the presence of a null line, or complete achronal null geodesic, and the totally geodesic null hypersurface that it determines. En route, we provide an analysis of the boundary data at conformal infinity for the Lorentzian signature static Einstein equations, in the spirit of the Fefferman-Graham analysis for the Riemannian signature case. This leads us to generalize to arbitrary dimension a mass definition for static asymptotically AdS spacetimes given by Chru\'sciel and Simon. We prove equivalence of this mass definition with those of Ashtekar-Magnon and Hawking-Horowitz.

6.976729

7.971932

7.612623

6.990792

7.502105

7.666502

7.610311

7.026228

7.438066

8.083151

6.805005

6.935146

6.876639

6.832528

6.894671

6.934377

7.002803

6.88318

6.906063

7.027586

6.780352

hep-th/0101129

Bjorn Andreas

Bjorn Andreas, Gottfried Curio, Daniel Hernandez Ruiperez and Shing-Tung Yau

Fibrewise T-Duality for D-Branes on Elliptic Calabi-Yau

12 pages, harvmac

JHEP 0103:020,2001

10.1088/1126-6708/2001/03/020

null

hep-th math.AG

null

Fibrewise T-duality (Fourier-Mukai transform) for D-branes on an elliptic Calabi-Yau $X$ is shown to require naturally an appropriate twisting of the operation respectively a twisted charge. The fibrewise T-duality is furthermore expressed through known monodromies in the context of Kontsevich's interpretation of mirror symmetry.

[ { "created": "Fri, 19 Jan 2001 15:54:16 GMT", "version": "v1" } ]

2010-02-03

[ [ "Andreas", "Bjorn", "" ], [ "Curio", "Gottfried", "" ], [ "Ruiperez", "Daniel Hernandez", "" ], [ "Yau", "Shing-Tung", "" ] ]

Fibrewise T-duality (Fourier-Mukai transform) for D-branes on an elliptic Calabi-Yau $X$ is shown to require naturally an appropriate twisting of the operation respectively a twisted charge. The fibrewise T-duality is furthermore expressed through known monodromies in the context of Kontsevich's interpretation of mirror symmetry.

17.519043

15.04022

15.779737

13.558614

17.253958

14.098478

14.553474

15.684189

15.550628

19.920551

15.875585

13.3802

15.703395

13.825054

13.952495

14.041007

14.301271

13.976867

13.7672

16.236799

14.430093

hep-th/9506145

null

T.E. Clark and S.T. Love

The Supercurrent In Supersymmetric Field Theories

26 pages, LaTeX

Int.J.Mod.Phys. A11 (1996) 2807-2823

10.1142/S0217751X9600136X

PURD-TH-95-02

hep-th

null

A supercurrent superfield whose components include a conserved energy-momentum tensor and supersymmetry current as well as a (generally broken) R-symmetry current is constructed for a generic effective N=1 supersymmetric gauge theory. The general form of the R-symmetry breaking is isolated. Included within the various special cases considered is the identification of those models which exhibit an unbroken R-symmetry. One such example corresponds to a non-linearly realized gauge symmetry where the chiral field R-weight is required to vanish.

[ { "created": "Wed, 21 Jun 1995 18:46:18 GMT", "version": "v1" } ]

2015-06-26

[ [ "Clark", "T. E.", "" ], [ "Love", "S. T.", "" ] ]

A supercurrent superfield whose components include a conserved energy-momentum tensor and supersymmetry current as well as a (generally broken) R-symmetry current is constructed for a generic effective N=1 supersymmetric gauge theory. The general form of the R-symmetry breaking is isolated. Included within the various special cases considered is the identification of those models which exhibit an unbroken R-symmetry. One such example corresponds to a non-linearly realized gauge symmetry where the chiral field R-weight is required to vanish.

13.620852

10.964713

11.780411

10.242571

10.155824

10.638147

10.466794

10.648026

10.263453

14.348042

10.239812

9.967782

11.452903

10.463506

10.249213

10.28849

10.340342

9.831238

10.515032

11.434903

10.156458

hep-th/9710114

null

J.J.M. Verbaarschot

Universal Behavior in Dirac Spectra

37 pages, 6 figures, Exentend version of lectures given at the "Nato Advanced Study Institute" on "Confinement, Duality, and Non-Perturbative Aspects of QCD", Cambridge 1997

null

hep-th

null

In these lectures we review recent results on universal fluctuations of QCD Dirac spectra and applications of Random Matrix Theory (RMT) to QCD. We review general properties of Dirac spectra and discuss the relation between chiral symmetry breaking and correlations of Dirac eigenvalues. In particular, we will focus on the microscopic spectral density density, i.e. the spectral density near zero virtuality on the scale of a typical level spacing. The relation with Leutwyler-Smilga sum-rules will be discussed. The success of applications of RMT to spectra of 'complex' systems leads us to the introduction of a chiral Random Matrix Theory (chRMT) with the global symmetries of the QCD partition function. Our central conjecture is that it decribes correlations of QCD Dirac spectra. We will review recent universality proofs supporting this conjecture. Lattice QCD results for the microscopic spectral density and for correlations in the bulk of the spectrum are shown to be in perfect agreement with chRMT. We close with a review of chRMT at nonzero chemical potential. Novel features of spectral universality in nonhermitean matrices will be discussed. As an illustration of mathematical methods used in RMT several important recent results will be derived in all details. We mention the derivation of the microscopic spectral density, the universality proof by Akemann, Damgaard, Magnea and Nishigaki, the spectral density of a chRMT at nonzero temperature and the Stephanov solution for chRMT at nonzero chemical potential.

[ { "created": "Tue, 14 Oct 1997 17:20:38 GMT", "version": "v1" } ]

2007-05-23

[ [ "Verbaarschot", "J. J. M.", "" ] ]

In these lectures we review recent results on universal fluctuations of QCD Dirac spectra and applications of Random Matrix Theory (RMT) to QCD. We review general properties of Dirac spectra and discuss the relation between chiral symmetry breaking and correlations of Dirac eigenvalues. In particular, we will focus on the microscopic spectral density density, i.e. the spectral density near zero virtuality on the scale of a typical level spacing. The relation with Leutwyler-Smilga sum-rules will be discussed. The success of applications of RMT to spectra of 'complex' systems leads us to the introduction of a chiral Random Matrix Theory (chRMT) with the global symmetries of the QCD partition function. Our central conjecture is that it decribes correlations of QCD Dirac spectra. We will review recent universality proofs supporting this conjecture. Lattice QCD results for the microscopic spectral density and for correlations in the bulk of the spectrum are shown to be in perfect agreement with chRMT. We close with a review of chRMT at nonzero chemical potential. Novel features of spectral universality in nonhermitean matrices will be discussed. As an illustration of mathematical methods used in RMT several important recent results will be derived in all details. We mention the derivation of the microscopic spectral density, the universality proof by Akemann, Damgaard, Magnea and Nishigaki, the spectral density of a chRMT at nonzero temperature and the Stephanov solution for chRMT at nonzero chemical potential.

7.196425

5.898104

7.461149

6.264184

7.710632

7.196187

7.138344

6.568809

6.200029

8.421445

6.325181

6.706047

7.187634

6.708079

6.967783

6.853789

7.154644

6.706747

6.752602

7.211648

6.773304

hep-th/9204037

null

S. Stieberger, D. Jungnickel, J. Lauer, M. Spalinski

Yukawa Couplings for Bosonic $Z_N$ Orbifolds: Their Moduli and Twisted Sector Dependence

12 pages

Mod.Phys.Lett.A7:3059-3070,1992

10.1142/S0217732392002457

null

hep-th

null

The three point correlation functions with twist fields are determined for bosonic $Z_N$ orbifolds. Both the choice of the modular background (compatible with the twist) and of the (higher) twisted sectors involved are fully general. We point out a necessary restriction on the set of instantons contributing to twist field correlation functions not obtained in previous calculations. Our results show that the theory is target space duality invariant.

[ { "created": "Tue, 14 Apr 1992 17:54:28 GMT", "version": "v1" } ]

2010-11-01

[ [ "Stieberger", "S.", "" ], [ "Jungnickel", "D.", "" ], [ "Lauer", "J.", "" ], [ "Spalinski", "M.", "" ] ]

The three point correlation functions with twist fields are determined for bosonic $Z_N$ orbifolds. Both the choice of the modular background (compatible with the twist) and of the (higher) twisted sectors involved are fully general. We point out a necessary restriction on the set of instantons contributing to twist field correlation functions not obtained in previous calculations. Our results show that the theory is target space duality invariant.

23.121265

17.02352

22.002052

16.828623

16.085487

17.473803

15.595648

18.36813

16.948675

22.278742

17.125242

18.722965

22.796597

18.803364

19.150013

19.005482

18.242182

18.588717

18.503298

23.566845

19.05508

1911.11670

Lorenzo Pieri

Black Holes in String Theory

PhD Thesis, Lorenzo Pieri, 2016/2017

null

hep-th

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

Black holes are the hydrogen atoms of quantum gravity. For instance solving the information loss paradox will likely require a deep understanding of how the long-sought quantum gravity theory works. In this thesis we explore how black holes are modelled and how the quantum structure emerges in the context of string theory. We will mainly limit to four dimensional supersymmetric solutions, considering black holes microstates from three different viewpoints: intersecting string and branes in string theory, supergravity solutions and ground states of the supersymmetric quantum mechanics living on the worldvolume of the branes. (PhD Thesis, Lorenzo Pieri, 2016/2017)

[ { "created": "Tue, 26 Nov 2019 16:10:30 GMT", "version": "v1" } ]

2019-11-27

[ [ "Pieri", "Lorenzo", "" ] ]

Black holes are the hydrogen atoms of quantum gravity. For instance solving the information loss paradox will likely require a deep understanding of how the long-sought quantum gravity theory works. In this thesis we explore how black holes are modelled and how the quantum structure emerges in the context of string theory. We will mainly limit to four dimensional supersymmetric solutions, considering black holes microstates from three different viewpoints: intersecting string and branes in string theory, supergravity solutions and ground states of the supersymmetric quantum mechanics living on the worldvolume of the branes. (PhD Thesis, Lorenzo Pieri, 2016/2017)

16.219215

14.851407

15.84887

13.791758

14.158454

15.108981

14.489188

14.417159

14.422653

17.876913

13.009459

14.347578

14.669864

13.901463

14.351194

15.020984

14.068628

14.245537

14.372353

14.213941

14.323585

hep-th/9311019

null

R. Brout, S. Massar, S. Popescu, R. Parentani, Ph. Spindel

Quantum Back Reaction on a Classical Field

23 pages (LATEX) plus 9 figures(available upon request), ULB-TH 93/16 UMH-MG 93/03

Phys.Rev. D52 (1995) 1119-1133

10.1103/PhysRevD.52.1119

null

hep-th

null

We show how to apply post selection in the context of weak measurement of Aharonov and collaborators to construct the quantum back reaction on a classical field. The particular case which we study in this paper is pair creation in an external electric field and the back reaction is the counter field produced by the pair \underline {as} it is made. The construction leads to a complex electric field obtained from non diagonal matrix elements of the current operator, the interpretation of which is clear in terms of weak measurement. The analogous construction applied to black hole physics (thereby leading to a complex metric) is relegated to a future paper.

[ { "created": "Wed, 3 Nov 1993 13:47:47 GMT", "version": "v1" } ]

2009-10-22

[ [ "Brout", "R.", "" ], [ "Massar", "S.", "" ], [ "Popescu", "S.", "" ], [ "Parentani", "R.", "" ], [ "Spindel", "Ph.", "" ] ]

We show how to apply post selection in the context of weak measurement of Aharonov and collaborators to construct the quantum back reaction on a classical field. The particular case which we study in this paper is pair creation in an external electric field and the back reaction is the counter field produced by the pair \underline {as} it is made. The construction leads to a complex electric field obtained from non diagonal matrix elements of the current operator, the interpretation of which is clear in terms of weak measurement. The analogous construction applied to black hole physics (thereby leading to a complex metric) is relegated to a future paper.

17.673851

20.082972

18.61108

16.218891

19.368385

22.192085

19.254019

17.118568

17.500315

21.071606

17.785324

17.069584

17.339735

16.986668

17.493969

17.032896

16.711996

16.31646

18.002148

17.472666

16.500235

hep-th/9203053

null

M.Carfora, M.Martellini and A.Marzuoli

Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity

13 pages

Int.J.Mod.Phys.B6:2109-2122,1992

10.1142/S0217979292001055

null

hep-th

null

We provide a non-perturbative geometrical characterization of the partition function of $n$-dimensional quantum gravity based on a coarse classification of riemannian geometries. We show that, under natural geometrical constraints, the theory admits a continuum limit with a non-trivial phase structure parametrized by the homotopy types of the class of manifolds considered. The results obtained qualitatively coincide, when specialized to dimension two, with those of two-dimensional quantum gravity models based on random triangulations of surfaces.

[ { "created": "Thu, 19 Mar 1992 15:04:00 GMT", "version": "v1" } ]

2014-11-18

[ [ "Carfora", "M.", "" ], [ "Martellini", "M.", "" ], [ "Marzuoli", "A.", "" ] ]

We provide a non-perturbative geometrical characterization of the partition function of $n$-dimensional quantum gravity based on a coarse classification of riemannian geometries. We show that, under natural geometrical constraints, the theory admits a continuum limit with a non-trivial phase structure parametrized by the homotopy types of the class of manifolds considered. The results obtained qualitatively coincide, when specialized to dimension two, with those of two-dimensional quantum gravity models based on random triangulations of surfaces.

8.983386

9.597208

8.064026

8.799965

9.012347

9.141621

9.299092

8.46404

9.402746

10.184324

8.71111

8.426785

8.526514

8.339251

8.851503

8.468297

8.342056

8.810543

8.37642

8.521267

8.541273

hep-th/0608030

Christos N. Ktorides

A. I. Karanikas and C. N. Ktorides

Spin-field Interaction Effects and Loop Dynamics in AdS/CFT Duality

21 pages

null

10.1016/j.physletb.2006.08.072

null

hep-th

null

The spin-field interaction is considered, in the context of the gauge fields/string correspondence, in the large 't Hooft coupling limit. The latter can be viewed as a WKB-type approximation to the AdS/CFT duality conjecture. Basic theoretical objects entering the present study are (a) the Wilson loop functional, on the gauge field side and (b) the sigma model action for the string propagating in AdS$_5$. Spin effects are introduced in a worldline setting, via the spin factor for a particle entity propagating on a Wilson loop contour. The computational tools employed for conducting the relevant analysis, follow the methodological guidelines introduced in two papers by Polyakov and Rychkov. The main result is expressed in terms of the modification of the spin factor brought about by dynamical effects, both perturbative and non-perturbative, according to AdS/CFT in the considered limit.

[ { "created": "Fri, 4 Aug 2006 06:26:15 GMT", "version": "v1" } ]

2016-04-27

[ [ "Karanikas", "A. I.", "" ], [ "Ktorides", "C. N.", "" ] ]

The spin-field interaction is considered, in the context of the gauge fields/string correspondence, in the large 't Hooft coupling limit. The latter can be viewed as a WKB-type approximation to the AdS/CFT duality conjecture. Basic theoretical objects entering the present study are (a) the Wilson loop functional, on the gauge field side and (b) the sigma model action for the string propagating in AdS$_5$. Spin effects are introduced in a worldline setting, via the spin factor for a particle entity propagating on a Wilson loop contour. The computational tools employed for conducting the relevant analysis, follow the methodological guidelines introduced in two papers by Polyakov and Rychkov. The main result is expressed in terms of the modification of the spin factor brought about by dynamical effects, both perturbative and non-perturbative, according to AdS/CFT in the considered limit.

12.298604

11.3841

13.23016

11.588292

12.604445

11.829609

12.964352

11.329816

11.742054

12.980962

12.481159

11.9582

12.430419

11.920852

12.055264

11.978313

11.860166

11.716558

12.270678

12.429349

11.880964

1509.03256

Suresh Nampuri Dr.

Olaf Lechtenfeld and Suresh Nampuri

A Calogero formulation for four-dimensional black-hole micro states

8 pages

null

10.1016/j.physletb.2015.11.083

null

hep-th

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

We extract the leading-order entropy of a four-dimensional extremal black hole in ${\cal N}{=}2$ ungauged supergravity by formulating the CFT$_1$ that is holographically dual to its near-horizon AdS$_2$ geometry, in terms of a rational Calogero model with a known counting formula for the degeneracy of states in its Hilbert space.

[ { "created": "Thu, 10 Sep 2015 18:25:25 GMT", "version": "v1" } ]

2017-03-08

[ [ "Lechtenfeld", "Olaf", "" ], [ "Nampuri", "Suresh", "" ] ]

We extract the leading-order entropy of a four-dimensional extremal black hole in ${\cal N}{=}2$ ungauged supergravity by formulating the CFT$_1$ that is holographically dual to its near-horizon AdS$_2$ geometry, in terms of a rational Calogero model with a known counting formula for the degeneracy of states in its Hilbert space.

7.332638

5.730223

6.691607

5.794328

6.022023

5.463556

5.582263

5.014188

5.643236

7.745809

5.612372

5.825145

6.612771

6.01994

5.924382

6.058496

6.139725

5.797084

6.001018

6.36299

6.026446

1503.00373

Elena-Mirela Babalic Dr

Elena Mirela Babalic and Calin Iuliu Lazaroiu

Foliated backgrounds for M-theory compactifications (I)

6 pages, 2 figures, conference proceedings, TIM 14 Physcis Conference, 20-22 November 2014, Timisoara, Romania

AIP Conf. Proc. 1694, 020007 (2015)

10.1063/1.4937233

null

hep-th math.DG

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

We summarize our geometric and topological description of compact eight-manifolds which arise as internal spaces in ${\cal N}=1$ flux compactifications of M-theory down to $\mathrm{AdS}_3$, under the assumption that the internal part of the supersymmetry generator is everywhere non-chiral. Specifying such a supersymmetric background is {\em equivalent} with giving a certain codimension one foliation defined by a closed one-form and which carries a leafwise $G_2$ structure, a foliation whose topology and geometry we characterize rigorously.

[ { "created": "Sun, 1 Mar 2015 23:23:51 GMT", "version": "v1" } ]

2023-09-28

[ [ "Babalic", "Elena Mirela", "" ], [ "Lazaroiu", "Calin Iuliu", "" ] ]

We summarize our geometric and topological description of compact eight-manifolds which arise as internal spaces in ${\cal N}=1$ flux compactifications of M-theory down to $\mathrm{AdS}_3$, under the assumption that the internal part of the supersymmetry generator is everywhere non-chiral. Specifying such a supersymmetric background is {\em equivalent} with giving a certain codimension one foliation defined by a closed one-form and which carries a leafwise $G_2$ structure, a foliation whose topology and geometry we characterize rigorously.

11.493672

11.371594

13.663518

9.938888

10.950859

11.377883

11.057339

9.924903

9.790776

14.14743

10.000559

10.466002

11.588798

10.10825

10.097201

10.283164

10.543143

10.545199

10.210436

10.652491

10.669096

0710.4334

Daniel Kabat

Alex Hamilton, Daniel Kabat, Gilad Lifschytz, David A. Lowe

Local bulk operators in AdS/CFT and the fate of the BTZ singularity

13 pages, 4 figures, AMS-LaTeX. v2: additional comments on cutoff. v3: corrected a normalization

null

hep-th

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

This paper has two parts. First we review the description of local bulk operators in Lorentzian AdS in terms of non-local operators in the boundary CFT. We discuss how bulk locality arises in pure AdS backgrounds and how it is modified at finite N. Next we present some new results on BTZ black holes: local operators can be defined inside the horizon of a finite N BTZ black hole, in a way that suggests the BTZ geometry describes an average over black hole microstates, but with finite N effects resolving the singularity.

[ { "created": "Tue, 23 Oct 2007 20:33:12 GMT", "version": "v1" }, { "created": "Thu, 20 Dec 2007 20:48:43 GMT", "version": "v2" }, { "created": "Sun, 28 Sep 2008 17:00:02 GMT", "version": "v3" } ]

2008-09-28

[ [ "Hamilton", "Alex", "" ], [ "Kabat", "Daniel", "" ], [ "Lifschytz", "Gilad", "" ], [ "Lowe", "David A.", "" ] ]

This paper has two parts. First we review the description of local bulk operators in Lorentzian AdS in terms of non-local operators in the boundary CFT. We discuss how bulk locality arises in pure AdS backgrounds and how it is modified at finite N. Next we present some new results on BTZ black holes: local operators can be defined inside the horizon of a finite N BTZ black hole, in a way that suggests the BTZ geometry describes an average over black hole microstates, but with finite N effects resolving the singularity.

10.024958

8.164096

10.730363

8.583969

8.396737

7.56409

8.035573

8.797359

8.593819

12.02766

8.951471

8.892912

9.974256

8.736349

8.984696

8.942245

8.755535

9.13598

8.680929

9.677924

9.111466

2211.12800

Antonio Amariti

Antonio Amariti, Simone Rota

An intertwining between conformal dualities and ordinary dualities

7 pages

null

hep-th

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

We discuss and reinterpret a 4d conformal triality recently discovered in the literature in terms of ordinary Seiberg duality. We observe that a non-abelian global symmetry is explicitly realized by only two out of the three phase. We corroborate the result by matching the superconformal index in terms of an expansion on the fugacities.

[ { "created": "Wed, 23 Nov 2022 09:34:07 GMT", "version": "v1" } ]

2022-11-24

[ [ "Amariti", "Antonio", "" ], [ "Rota", "Simone", "" ] ]

We discuss and reinterpret a 4d conformal triality recently discovered in the literature in terms of ordinary Seiberg duality. We observe that a non-abelian global symmetry is explicitly realized by only two out of the three phase. We corroborate the result by matching the superconformal index in terms of an expansion on the fugacities.

17.118788

13.434884

16.868626

15.179194

14.997008

14.639537

15.128788

17.131033

16.624363

17.51527

15.686227

14.515727

17.235924

15.201909

15.050835

15.225019

14.675486

15.187248

14.829884

17.448359

15.066588

hep-th/0209112

Joseph Conlon

Joseph Conlon (Cambridge), Doron Gepner (Weizmann Institute)

Field Identifications for Interacting Bosonic Models in N=2 Superconformal Field Theory

12 pages

Phys.Lett.B548:102-110,2002

10.1016/S0370-2693(02)02812-5

null

hep-th

null

We study a family of interacting bosonic representations of the N=2 superconformal algebra. These models can be tensored with a conjugate theory to give the free theory. We explain how to use free fields to study interacting fields and their dimensions, and how we may identify different free fields as representing the same interacting field. We show how a lattice of identifying fields may be built up and how every free field may be reduced to a standard form, thus permitting the resolution of the spectrum. We explain how to build the extended algebra and show that there are a finite number of primary fields for this algebra for any of the models. We illustrate this by studying an example.

[ { "created": "Fri, 13 Sep 2002 14:49:31 GMT", "version": "v1" } ]

2009-02-23

[ [ "Conlon", "Joseph", "", "Cambridge" ], [ "Gepner", "Doron", "", "Weizmann Institute" ] ]

We study a family of interacting bosonic representations of the N=2 superconformal algebra. These models can be tensored with a conjugate theory to give the free theory. We explain how to use free fields to study interacting fields and their dimensions, and how we may identify different free fields as representing the same interacting field. We show how a lattice of identifying fields may be built up and how every free field may be reduced to a standard form, thus permitting the resolution of the spectrum. We explain how to build the extended algebra and show that there are a finite number of primary fields for this algebra for any of the models. We illustrate this by studying an example.

13.700935

12.184934

14.493539

11.77874

13.837312

11.848393

13.455763

12.570134

12.166451

15.834824

11.897232

12.593586

13.957914

12.37077

12.322924

12.614513

12.718106

12.186512

12.347834

14.089313

12.225616

1611.09314

Dionisio Bazeia

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

Hybrid Bloch Brane

8 pages, 9 figures; motivation and references added, to appear in EPJC

Eur. Phys. J. C 77 (2017) 127

10.1140/epjc/s10052-017-4701-4

null

hep-th gr-qc

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

This work reports on models described by two real scalar fields coupled with gravity in the five-dimensional spacetime, with a warped geometry involving one infinite extra dimension. Through a mechanism that smoothly changes a thick brane into a hybrid brane, one investigates the appearance of hybrid branes hosting internal structure, characterized by the splitting on the energy density and the volcano potential, induced by the parameter which controls interactions between the two scalar fields. In particular, we investigate distinct symmetric and asymmetric hybrid brane scenarios.

[ { "created": "Mon, 28 Nov 2016 20:05:24 GMT", "version": "v1" }, { "created": "Wed, 15 Feb 2017 12:41:11 GMT", "version": "v2" } ]

2017-03-02

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

This work reports on models described by two real scalar fields coupled with gravity in the five-dimensional spacetime, with a warped geometry involving one infinite extra dimension. Through a mechanism that smoothly changes a thick brane into a hybrid brane, one investigates the appearance of hybrid branes hosting internal structure, characterized by the splitting on the energy density and the volcano potential, induced by the parameter which controls interactions between the two scalar fields. In particular, we investigate distinct symmetric and asymmetric hybrid brane scenarios.

21.658644

15.930693

20.269182

16.364187

16.922689

16.251545

16.573484

15.471061

16.305029

22.444221

17.252382

18.166513

20.227886

19.406969

18.908195

18.766481

18.681898

18.311424

18.94536

20.473715

18.876593

hep-th/9806082

Ian McArthur

I.N. McArthur (University of Western Australia)

Higher Order Spin-dependent Terms in D0-brane Scattering from the Matrix Model

Latex, 22 pages

Nucl.Phys. B534 (1998) 183-201

10.1016/S0550-3213(98)00540-9

null

hep-th

null

The potential describing long-range interactions between D0-branes contains spin-dependent terms. In the matrix model, these should be reproduced by the one-loop effective action computed in the presence of a nontrivial fermionic background $\psi.$ The $\frac{v^3 \psi^2}{r^8}$ term in the effective action has been computed by Kraus and shown to correspond to a spin-orbit interaction between D0-branes, and the $\frac{\psi^8}{r^{11}}$ term in the static potential has been obtained by Barrio et al. In this paper, the $\frac{v^2 \psi^4}{r^9}$ term is computing in the matrix model and compared with the corresponding results of Morales et al obtained using string theoretic methods. The technique employed is adapted to the underlying supersymmetry of the matrix model, and should be useful in the calculation of spin-dependent effects in more general Dp-brane scatterings.

[ { "created": "Thu, 11 Jun 1998 05:06:55 GMT", "version": "v1" } ]

2009-10-31

[ [ "McArthur", "I. N.", "", "University of Western Australia" ] ]

The potential describing long-range interactions between D0-branes contains spin-dependent terms. In the matrix model, these should be reproduced by the one-loop effective action computed in the presence of a nontrivial fermionic background $\psi.$ The $\frac{v^3 \psi^2}{r^8}$ term in the effective action has been computed by Kraus and shown to correspond to a spin-orbit interaction between D0-branes, and the $\frac{\psi^8}{r^{11}}$ term in the static potential has been obtained by Barrio et al. In this paper, the $\frac{v^2 \psi^4}{r^9}$ term is computing in the matrix model and compared with the corresponding results of Morales et al obtained using string theoretic methods. The technique employed is adapted to the underlying supersymmetry of the matrix model, and should be useful in the calculation of spin-dependent effects in more general Dp-brane scatterings.

8.322105

8.176784

9.172929

7.586647

7.796697

7.715018

7.591897

7.679229

7.777061

8.781502

7.772712

7.633912

8.276228

7.819433

7.623032

7.6077

7.369781

7.691649

7.721808

8.388932

7.767412

hep-th/0503031

Jihn E. Kim

Dynamical $\mu$ and MSSM

LaTeX file of 28 pages

JHEP 0506 (2005) 076

10.1088/1126-6708/2005/06/076

SNUTP 05-002

hep-th hep-ph

null

We present the idea that the vacuum can choose one pair of Higgs doublets by making the $\mu$ parameter a dynamical field called {\it massion}. The {\it massion} potential leading to the dynamical solution is suggested to arise from the small instanton interaction when the gauge couplings become strong near the cutoff scale $M_s$ or $M_P$. One can construct supergravity models along this line. We also present an explicit example with a trinification model from superstring.

[ { "created": "Thu, 3 Mar 2005 22:13:22 GMT", "version": "v1" } ]

2009-11-11

[ [ "Kim", "Jihn E.", "" ] ]

We present the idea that the vacuum can choose one pair of Higgs doublets by making the $\mu$ parameter a dynamical field called {\it massion}. The {\it massion} potential leading to the dynamical solution is suggested to arise from the small instanton interaction when the gauge couplings become strong near the cutoff scale $M_s$ or $M_P$. One can construct supergravity models along this line. We also present an explicit example with a trinification model from superstring.

16.296398

17.201714

15.471356

14.60746

15.934419

16.666107

18.354025

16.1766

15.349094

14.947714

15.455349

15.835258

15.85992

14.875629

15.350075

15.953377

16.071716

15.638026

15.29617

16.067656

15.405569

hep-th/9502135

Marcio J. Martins

M.J. Martins

Bethe ansatz solution of the $Osp(1|2n)$ invariant spin chain

9 pages

Phys.Lett. B359 (1995) 334-338

10.1016/0370-2693(95)01073-Y

UFSCARF-TH-94-23

hep-th

null

We have applied the analytical Bethe ansatz approach in order to solve the $Osp(1|2n)$ invariant magnet. By using the Bethe ansatz equations we have calculated the ground state energy and the low-lying dispersion relation. The finite size properties indicate that the model has a central charge $c=n$.

[ { "created": "Wed, 22 Feb 1995 19:22:45 GMT", "version": "v1" } ]

2016-09-06

[ [ "Martins", "M. J.", "" ] ]

We have applied the analytical Bethe ansatz approach in order to solve the $Osp(1|2n)$ invariant magnet. By using the Bethe ansatz equations we have calculated the ground state energy and the low-lying dispersion relation. The finite size properties indicate that the model has a central charge $c=n$.

10.123833

8.146348

13.949355

7.764575

8.166103

7.860551

8.069505

7.443846

7.137112

14.214457

7.278766

8.51306

11.843739

8.242105

8.503345

8.406161

8.327792

8.348435

8.240603

12.024917

8.472796

2211.00638

Fei Teng

Alex Edison, Song He, Henrik Johansson, Oliver Schlotterer, Fei Teng, and Yong Zhang

Perfecting one-loop BCJ numerators in SYM and supergravity

55 pages; Dedicated to the memory of Lars Brink; v2: minor changes, published version

JHEP 02 (2023) 164

10.1007/JHEP02(2023)164

null

hep-th

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

We take a major step towards computing $D$-dimensional one-loop amplitudes in general gauge theories, compatible with the principles of unitarity and the color-kinematics duality. For $n$-point amplitudes with either supersymmetry multiplets or generic non-supersymmetric matter in the loop, simple all-multiplicity expressions are obtained for the maximal cuts of kinematic numerators of $n$-gon diagrams. At $n=6,7$ points with maximal supersymmetry, we extend the cubic-diagram numerators to encode all contact terms, and thus solve the long-standing problem of \emph{simultaneously} realizing the following properties: color-kinematics duality, manifest locality, optimal power counting of loop momenta, quadratic rather than linearized Feynman propagators, compatibility with double copy as well as all graph symmetries. Color-kinematics dual representations with similar properties are presented in the half-maximally supersymmetric case at $n=4,5$ points. The resulting gauge-theory integrands and their supergravity counterparts obtained from the double copy are checked to reproduce the expected ultraviolet divergences.

[ { "created": "Tue, 1 Nov 2022 17:59:57 GMT", "version": "v1" }, { "created": "Fri, 17 Feb 2023 16:14:56 GMT", "version": "v2" } ]

2023-02-20

[ [ "Edison", "Alex", "" ], [ "He", "Song", "" ], [ "Johansson", "Henrik", "" ], [ "Schlotterer", "Oliver", "" ], [ "Teng", "Fei", "" ], [ "Zhang", "Yong", "" ] ]

We take a major step towards computing $D$-dimensional one-loop amplitudes in general gauge theories, compatible with the principles of unitarity and the color-kinematics duality. For $n$-point amplitudes with either supersymmetry multiplets or generic non-supersymmetric matter in the loop, simple all-multiplicity expressions are obtained for the maximal cuts of kinematic numerators of $n$-gon diagrams. At $n=6,7$ points with maximal supersymmetry, we extend the cubic-diagram numerators to encode all contact terms, and thus solve the long-standing problem of \emph{simultaneously} realizing the following properties: color-kinematics duality, manifest locality, optimal power counting of loop momenta, quadratic rather than linearized Feynman propagators, compatibility with double copy as well as all graph symmetries. Color-kinematics dual representations with similar properties are presented in the half-maximally supersymmetric case at $n=4,5$ points. The resulting gauge-theory integrands and their supergravity counterparts obtained from the double copy are checked to reproduce the expected ultraviolet divergences.

9.057006

9.638056

9.702351

8.992772

9.63161

9.688675

9.381934

9.442468

8.947063

10.580908

9.062088

9.000956

9.009149

8.466634

9.028666

8.963564

8.940568

9.069423

8.63303

9.106498

8.573063

2405.20437

Ernesto Contreras

M. Anda, E. Fuenmayor, L. Leal and E. Contreras

The four-components link invariant in the framework of topological field theories

null

hep-th

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

In this work, we undertake a perturbative analysis of the topological non-Abelian Chern-Simons-Wong model with the aim to explicitly construct the second-order on-shell action. The resulting action is a topological quantity depending solely on closed curves, so it correspond to an analytical expression of a link invariant. Additionally, we construct an Abelian model that reproduces the same second-order on-shell action as its non-Abelian Chern-Simons-Wong counterpart so it functions as an intermediate model, featuring Abelian fields generated by currents supported on closed paths. By geometrically analyzing each term, we demonstrate that this topological invariant effectively detects the knotting of a four-component link.

[ { "created": "Thu, 30 May 2024 19:28:48 GMT", "version": "v1" } ]

2024-06-03

[ [ "Anda", "M.", "" ], [ "Fuenmayor", "E.", "" ], [ "Leal", "L.", "" ], [ "Contreras", "E.", "" ] ]

In this work, we undertake a perturbative analysis of the topological non-Abelian Chern-Simons-Wong model with the aim to explicitly construct the second-order on-shell action. The resulting action is a topological quantity depending solely on closed curves, so it correspond to an analytical expression of a link invariant. Additionally, we construct an Abelian model that reproduces the same second-order on-shell action as its non-Abelian Chern-Simons-Wong counterpart so it functions as an intermediate model, featuring Abelian fields generated by currents supported on closed paths. By geometrically analyzing each term, we demonstrate that this topological invariant effectively detects the knotting of a four-component link.

14.799856

13.907569

15.194991

13.192224

13.689735

13.180676

13.399679

13.303216

13.432796

16.619444

13.493533

12.970712

14.719863

13.642914

13.194901

12.815549

13.092061

12.946714

13.899322

14.575209

13.228369

hep-th/0302094

Popkov Vladislav

Vladislav Popkov and Gunter Schuetz

Integrable Markov processes and quantum spin chains

7 pages, no figures

Matematicheskaya Fisika,Analiz, Geometriya, Vol.9, 401 (2002)

null

hep-th

null

A set of Markov processes corresponding to systems of hard-core particles interacting along the line are shown to be solvable via a dynamic matrix product ansatz (DMPA). We show that quantum spin Hamiltonians can be treated by the DMPA as well, and demonstrate how the DMPA, originally formulated for systems with open ends, works for periodic systems.

[ { "created": "Thu, 13 Feb 2003 11:42:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Popkov", "Vladislav", "" ], [ "Schuetz", "Gunter", "" ] ]

A set of Markov processes corresponding to systems of hard-core particles interacting along the line are shown to be solvable via a dynamic matrix product ansatz (DMPA). We show that quantum spin Hamiltonians can be treated by the DMPA as well, and demonstrate how the DMPA, originally formulated for systems with open ends, works for periodic systems.

13.512115

15.43115

13.902238

13.70958

13.893506

15.176342

14.128915

14.924311

13.84312

15.142591

13.342329

12.639609

12.58217

12.964686

13.360582

12.93047

13.645044

13.120158

12.520109

14.646414

12.01393

1706.04298

Zheng-Wen Long

Bing-Qian Wang, Zheng-Wen Long, Chao-Yun Long and Shu-Rui Wu

(2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space

null

hep-th

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

Using the momentum space representation, we study the (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator for spin 0 particle under a magnetic field in the presence of a minimal length in the noncommutative space. The explicit form of energy eigenvalues are found, the wave functions and the corresponding probability density are reported in terms of the Jacobi polynomials. Additionally, we also discuss the special cases and depict the corresponding numerical results.

[ { "created": "Wed, 14 Jun 2017 02:33:08 GMT", "version": "v1" } ]

2017-06-15

[ [ "Wang", "Bing-Qian", "" ], [ "Long", "Zheng-Wen", "" ], [ "Long", "Chao-Yun", "" ], [ "Wu", "Shu-Rui", "" ] ]

Using the momentum space representation, we study the (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator for spin 0 particle under a magnetic field in the presence of a minimal length in the noncommutative space. The explicit form of energy eigenvalues are found, the wave functions and the corresponding probability density are reported in terms of the Jacobi polynomials. Additionally, we also discuss the special cases and depict the corresponding numerical results.

6.911322

7.268687

6.762463

6.010566

6.59956

6.134868

7.006196

6.846545

6.48215

7.199834

6.81478

6.586606

6.491236

6.146565

6.086018

6.355998

6.163625

6.084315

6.080677

6.170785

6.384041

hep-th/0201147

A. E. Santana

L. M. Abreu, A. E. Santana, A. Ribeiro Filho

The Cangemi-Jackiw manifold in high dimensions and symplectic structure

19 pages

Annals Phys.297:396-408,2002

10.1006/aphy.2002.6252

null

hep-th

null

The notion of Poincare gauge manifold ($G$), proposed in the context of an (1+1) gravitational theory by Cangemi and Jackiw (D. Cangemi and R. Jackiw, Ann. Phys. (N.Y.) 225 (1993) 229), is explored from a geometrical point of view. First $G$ is defined for arbitrary dimensions, and in the sequence a symplectic structure is attached to $T*G$. Treating the case of five dimensions, a (4,1)-de Sitter space, aplications are presented studing representations of the Poincare group in association with kinetic theory and the Weyl operators in phase space. The central extension in the Aghassi-Roman-Santilli group (J. J. Aghassi, P. Roman and R. M. Santilli, Phys. Rev. D 1(1970) 2573) is derived as a subgroup of linear transformations in $G$ with six dimensions.

[ { "created": "Fri, 18 Jan 2002 19:17:35 GMT", "version": "v1" } ]

2011-08-17

[ [ "Abreu", "L. M.", "" ], [ "Santana", "A. E.", "" ], [ "Filho", "A. Ribeiro", "" ] ]

The notion of Poincare gauge manifold ($G$), proposed in the context of an (1+1) gravitational theory by Cangemi and Jackiw (D. Cangemi and R. Jackiw, Ann. Phys. (N.Y.) 225 (1993) 229), is explored from a geometrical point of view. First $G$ is defined for arbitrary dimensions, and in the sequence a symplectic structure is attached to $T*G$. Treating the case of five dimensions, a (4,1)-de Sitter space, aplications are presented studing representations of the Poincare group in association with kinetic theory and the Weyl operators in phase space. The central extension in the Aghassi-Roman-Santilli group (J. J. Aghassi, P. Roman and R. M. Santilli, Phys. Rev. D 1(1970) 2573) is derived as a subgroup of linear transformations in $G$ with six dimensions.

10.491943

12.730842

13.181761

12.212739

12.60798

13.225435

13.092869

12.637147

13.018556

15.029738

12.781431

10.905939

10.771472

10.890074

11.123471

11.117548

11.154021

11.190186

11.191545

10.593678

10.099216

2209.04519

Roman Geiko

Roman Geiko and Gregory W. Moore

When Does A Three-Dimensional Chern-Simons-Witten Theory Have A Time Reversal Symmetry?

Important revisions and new material

null

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

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

In this paper, we completely characterize time-reversal invariant three-dimensional Chern-Simons gauge theories with torus gauge group. At the level of the Lagrangian, toral Chern-Simons theory is defined by an integral lattice, while at the quantum level, it is entirely determined by a quadratic function on a finite Abelian group and an integer mod 24. We find that quantum time-reversally symmetric theories can be defined by classical Lagrangians defined by integral lattices which have self-perpendicular embeddings into a unimodular lattice. We find that the quantum toral Chern-Simons theory admits a time-reversal symmetry iff the higher Gauss sums of the associated modular tensor category are real. We conjecture that the reality of the higher Gauss sums is necessary and sufficient for a general non-Abelian Chern-Simons to admit quantum T-symmetry.

[ { "created": "Fri, 9 Sep 2022 20:45:18 GMT", "version": "v1" }, { "created": "Mon, 28 Nov 2022 03:50:49 GMT", "version": "v2" } ]

2022-11-29

[ [ "Geiko", "Roman", "" ], [ "Moore", "Gregory W.", "" ] ]

In this paper, we completely characterize time-reversal invariant three-dimensional Chern-Simons gauge theories with torus gauge group. At the level of the Lagrangian, toral Chern-Simons theory is defined by an integral lattice, while at the quantum level, it is entirely determined by a quadratic function on a finite Abelian group and an integer mod 24. We find that quantum time-reversally symmetric theories can be defined by classical Lagrangians defined by integral lattices which have self-perpendicular embeddings into a unimodular lattice. We find that the quantum toral Chern-Simons theory admits a time-reversal symmetry iff the higher Gauss sums of the associated modular tensor category are real. We conjecture that the reality of the higher Gauss sums is necessary and sufficient for a general non-Abelian Chern-Simons to admit quantum T-symmetry.

8.873385

9.095826

8.547118

8.428156

8.962544

9.830852

8.802581

8.635033

8.870119

10.106574

8.494749

8.000204

8.232278

7.896058

8.045622

7.743432

8.289382

8.096808

7.838797

8.356459

7.874205

hep-th/9412097

null

C. Bartocci, U. Bruzzo, M. Carfora and A. Marzuoli

Entropy of random coverings and 4D quantum gravity

54 pages, latex, no figures

J.Geom.Phys. 18 (1996) 247-294

10.1016/0393-0440(95)00013-5

SISSA 97/94/FM

hep-th gr-qc

null

We discuss the counting of minimal geodesic ball coverings of $n$-dimensional riemannian manifolds of bounded geometry, fixed Euler characteristic and Reidemeister torsion in a given representation of the fundamental group. This counting bears relevance to the analysis of the continuum limit of discrete models of quantum gravity. We establish the conditions under which the number of coverings grows exponentially with the volume, thus allowing for the search of a continuum limit of the corresponding discretized models. The resulting entropy estimates depend on representations of the fundamental group of the manifold through the corresponding Reidemeister torsion. We discuss the sum over inequivalent representations both in the two-dimensional and in the four-dimensional case. Explicit entropy functions as well as significant bounds on the associated critical exponents are obtained in both cases.

[ { "created": "Mon, 12 Dec 1994 10:44:17 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bartocci", "C.", "" ], [ "Bruzzo", "U.", "" ], [ "Carfora", "M.", "" ], [ "Marzuoli", "A.", "" ] ]

We discuss the counting of minimal geodesic ball coverings of $n$-dimensional riemannian manifolds of bounded geometry, fixed Euler characteristic and Reidemeister torsion in a given representation of the fundamental group. This counting bears relevance to the analysis of the continuum limit of discrete models of quantum gravity. We establish the conditions under which the number of coverings grows exponentially with the volume, thus allowing for the search of a continuum limit of the corresponding discretized models. The resulting entropy estimates depend on representations of the fundamental group of the manifold through the corresponding Reidemeister torsion. We discuss the sum over inequivalent representations both in the two-dimensional and in the four-dimensional case. Explicit entropy functions as well as significant bounds on the associated critical exponents are obtained in both cases.

9.618789

10.43856

10.219728

9.418648

10.580854

10.633847

10.057409

10.493032

9.844962

11.038629

9.629785

9.780455

9.752817

8.990352

9.339443

9.539865

9.191805

9.206991

9.03294

9.399645

9.360095

1507.06226

Dimitri Polyakov Prof

Dimitri Polyakov

Solutions in Bosonic String Field Theory and Higher Spin Algebras in AdS

37 pages, typos corrected, references added/modified

Phys. Rev. D 92, 106008 (2015)

10.1103/PhysRevD.92.106008

CTP-SCU/2015013

hep-th

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

We find a class of analytic solutions in open bosonic string field theory, parametrized by the chiral copy of higher spin algebra in $AdS_3$. The solutions are expressed in terms of the generating function for the products of Bell polynomials in derivatives of bosonic space-time coordinates $X^m(z)$ of the open string, which form is determined in this work. The products of these polynomials form a natural operator algebra realizations of $W_\infty$ (area-preserving diffeomorphisms), enveloping algebra of SU(2) and higher spin algebra in $AdS_3$. The class of SFT solutions found can, in turn, be interpreted as the "enveloping of enveloping", or the enveloping of $AdS_3$ higher spin algebra. We also discuss the extensions of this class of solutions to superstring theory and their relations to higher spin algebras in higher space-time dimensions.

[ { "created": "Wed, 22 Jul 2015 15:18:49 GMT", "version": "v1" }, { "created": "Thu, 23 Jul 2015 15:14:33 GMT", "version": "v2" }, { "created": "Sat, 25 Jul 2015 12:54:00 GMT", "version": "v3" }, { "created": "Tue, 4 Aug 2015 14:02:14 GMT", "version": "v4" } ]

2015-12-02

[ [ "Polyakov", "Dimitri", "" ] ]

We find a class of analytic solutions in open bosonic string field theory, parametrized by the chiral copy of higher spin algebra in $AdS_3$. The solutions are expressed in terms of the generating function for the products of Bell polynomials in derivatives of bosonic space-time coordinates $X^m(z)$ of the open string, which form is determined in this work. The products of these polynomials form a natural operator algebra realizations of $W_\infty$ (area-preserving diffeomorphisms), enveloping algebra of SU(2) and higher spin algebra in $AdS_3$. The class of SFT solutions found can, in turn, be interpreted as the "enveloping of enveloping", or the enveloping of $AdS_3$ higher spin algebra. We also discuss the extensions of this class of solutions to superstring theory and their relations to higher spin algebras in higher space-time dimensions.

9.053217

9.758785

10.04484

8.969604

9.26824

8.838375

9.254097

8.264474

8.904318

10.042388

8.828121

8.645573

9.467943

8.724341

9.096106

8.926127

9.052678

8.807758

8.51554

8.966574

8.503276

hep-th/9905026

Harold Blas

H. Blas and B. M. Pimentel

The Faddeev-Jackiw Approach and the Conformal Affine sl(2) Toda Model Coupled to Matter Field

15 pages. Minor changes and references added in section 3

Annals Phys. 282 (2000) 67-86

10.1006/aphy.1999.5995

null

hep-th

null

The conformal affine sl(2) Toda model coupled to matter field is treated as a constrained system in the context of Faddeev-Jackiw and the (constrained) symplectic schemes. We recover from this theory either, the sine-Gordon or the massive Thirring model, through a process of Hamiltonian reduction, considering the equivalence of the Noether and topological currrents as a constraint and gauge fixing the conformal symmetry.

[ { "created": "Thu, 6 May 1999 00:13:57 GMT", "version": "v1" }, { "created": "Thu, 17 Jun 1999 17:30:05 GMT", "version": "v2" } ]

2009-10-31

[ [ "Blas", "H.", "" ], [ "Pimentel", "B. M.", "" ] ]

The conformal affine sl(2) Toda model coupled to matter field is treated as a constrained system in the context of Faddeev-Jackiw and the (constrained) symplectic schemes. We recover from this theory either, the sine-Gordon or the massive Thirring model, through a process of Hamiltonian reduction, considering the equivalence of the Noether and topological currrents as a constraint and gauge fixing the conformal symmetry.

14.77455

11.41414

15.218286

11.669038

11.352331

12.310373

12.167551

11.179098

12.620564

16.675201

11.418318

12.533002

13.881968

12.964142

12.509776

12.813343

12.806193

12.743864

13.032416

14.489465

12.123915

hep-th/0011209

Alexander Turbiner

Piergiulio Tempesta, Alexander V. Turbiner and Pavel Winternitz

Exact Solvability of Superintegrable Systems

14 pages, AMS LaTeX

J.Math.Phys. 42 (2001) 4248-4257

10.1063/1.1386927

LPT-ORSAY 00-90

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

null

It is shown that all four superintegrable quantum systems on the Euclidean plane possess the same underlying hidden algebra $sl(3)$. The gauge-rotated Hamiltonians, as well as their integrals of motion, once rewritten in appropriate coordinates, preserve a flag of polynomials. This flag corresponds to highest-weight finite-dimensional representations of the $sl(3)$-algebra, realized by first order differential operators.

[ { "created": "Thu, 23 Nov 2000 09:57:24 GMT", "version": "v1" } ]

2009-10-31

[ [ "Tempesta", "Piergiulio", "" ], [ "Turbiner", "Alexander V.", "" ], [ "Winternitz", "Pavel", "" ] ]

It is shown that all four superintegrable quantum systems on the Euclidean plane possess the same underlying hidden algebra $sl(3)$. The gauge-rotated Hamiltonians, as well as their integrals of motion, once rewritten in appropriate coordinates, preserve a flag of polynomials. This flag corresponds to highest-weight finite-dimensional representations of the $sl(3)$-algebra, realized by first order differential operators.

12.881551

14.158853

14.462849

11.466222

13.230677

12.403816

14.344701

12.192495

11.630651

15.298719

12.785431

12.559062

13.053711

11.967169

11.795903

12.001817

11.967661

12.247756

11.915674

13.581083

11.389092

hep-th/0409072

Anthony N. Aguirre

Anthony Aguirre, Max Tegmark

Multiple universes, cosmic coincidences, and other dark matters

18 JCAP-style pages, accepted by JCAP. Revised version adds references and some clarifications

JCAP 0501:003,2005

10.1088/1475-7516/2005/01/003

null

hep-th astro-ph gr-qc

null

Even when completely and consistently formulated, a fundamental theory of physics and cosmological boundary conditions may not give unambiguous and unique predictions for the universe we observe; indeed inflation, string/M theory, and quantum cosmology all arguably suggest that we can observe only one member of an ensemble with diverse properties. How, then, can such theories be tested? It has been variously asserted that in a future measurement we should observe the a priori most probable set of predicted properties (the ``bottom-up'' approach), or the most probable set compatible with all current observations (the ``top-down'' approach), or the most probable set consistent with the existence of observers (the ``anthropic'' approach). These inhabit a spectrum of levels of conditionalization and can lead to qualitatively different predictions. For example, in a context in which the densities of various species of dark matter vary among members of an ensemble of otherwise similar regions, from the top-down or anthropic viewpoints -- but not the bottom-up -- it would be natural for us to observe multiple types of dark matter with similar contributions to the observed dark matter density. In the anthropic approach it is also possible in principle to strengthen this argument and the limit the number of likely dark matter sub-components. In both cases the argument may be extendible to dark energy or primordial density perturbations. This implies that the anthropic approach to cosmology, introduced in part to explain "coincidences" between unrelated constituents of our universe, predicts that more, as-yet-unobserved coincidences should come to light.

[ { "created": "Tue, 7 Sep 2004 17:50:35 GMT", "version": "v1" }, { "created": "Tue, 21 Dec 2004 00:05:10 GMT", "version": "v2" } ]

2009-10-07

[ [ "Aguirre", "Anthony", "" ], [ "Tegmark", "Max", "" ] ]

Even when completely and consistently formulated, a fundamental theory of physics and cosmological boundary conditions may not give unambiguous and unique predictions for the universe we observe; indeed inflation, string/M theory, and quantum cosmology all arguably suggest that we can observe only one member of an ensemble with diverse properties. How, then, can such theories be tested? It has been variously asserted that in a future measurement we should observe the a priori most probable set of predicted properties (the ``bottom-up'' approach), or the most probable set compatible with all current observations (the ``top-down'' approach), or the most probable set consistent with the existence of observers (the ``anthropic'' approach). These inhabit a spectrum of levels of conditionalization and can lead to qualitatively different predictions. For example, in a context in which the densities of various species of dark matter vary among members of an ensemble of otherwise similar regions, from the top-down or anthropic viewpoints -- but not the bottom-up -- it would be natural for us to observe multiple types of dark matter with similar contributions to the observed dark matter density. In the anthropic approach it is also possible in principle to strengthen this argument and the limit the number of likely dark matter sub-components. In both cases the argument may be extendible to dark energy or primordial density perturbations. This implies that the anthropic approach to cosmology, introduced in part to explain "coincidences" between unrelated constituents of our universe, predicts that more, as-yet-unobserved coincidences should come to light.

11.797874

13.571638

12.850546

11.313711

12.732121

13.41273

12.722362

12.626799

12.0474

13.828174

11.513731

11.214378

11.536464

11.191755

11.484564

11.347795

11.390915

11.230062

11.090724

11.082789

11.310554

hep-th/9910177

Ulrich Theis

Friedemann Brandt, Joan Simon, Ulrich Theis

Exotic Gauge Theories from Tensor Calculus

11 pages, LaTeX2e with amsmath.sty. Grav. CS-couplings, Comments and references added. To appear in Class.Quantum.Grav

Class.Quant.Grav. 17 (2000) 1627-1636

10.1088/0264-9381/17/7/304

ITP-UH-19/99, UB-ECM-PF-99/17

hep-th

null

We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss generalizations of such interactions by adding couplings to gravitational Chern-Simons forms and to fields arising through dimensional reduction. The construction uses an appropriate tensor calculus.

[ { "created": "Fri, 22 Oct 1999 13:39:20 GMT", "version": "v1" }, { "created": "Sun, 30 Jan 2000 14:40:58 GMT", "version": "v2" } ]

2009-10-31

[ [ "Brandt", "Friedemann", "" ], [ "Simon", "Joan", "" ], [ "Theis", "Ulrich", "" ] ]

We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss generalizations of such interactions by adding couplings to gravitational Chern-Simons forms and to fields arising through dimensional reduction. The construction uses an appropriate tensor calculus.

19.099747

17.539639

20.86882

19.271452

17.262501

16.845778

16.752632

18.282448

18.392101

22.069416

18.242634

17.331089

20.065617

17.397783

18.772499

17.493511

18.658075

18.229721

17.582436

21.049572

16.736032

1907.10061

Julian Sonner

Pranjal Nayak, Julian Sonner and Manuel Vielma

Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory

44 pages, 8 figures, references added, typos fixed

null

10.1007/JHEP03(2020)168

null

hep-th cond-mat.str-el

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

In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are thermal. On the other hand, in coherent pure states, these same operators can exhibit ergodic or non-ergodic behavior, which is characterized by elliptic, parabolic or hyperbolic monodromy of an auxiliary equation; or equivalently, which coadjoint Virasoro orbit the state lies on. These results allow us to establish an extended version of the eigenstate thermalization hypothesis (ETH) in theories with a Schwarzian sector. We also elucidate the role of FZZT-type boundary conditions in the Schwarzian theory, shedding light on the physics of microstates associated with ZZ branes and FZZT branes in low dimensional holography.

[ { "created": "Tue, 23 Jul 2019 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 14 Aug 2019 13:15:16 GMT", "version": "v2" } ]

2020-04-22

[ [ "Nayak", "Pranjal", "" ], [ "Sonner", "Julian", "" ], [ "Vielma", "Manuel", "" ] ]

In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are thermal. On the other hand, in coherent pure states, these same operators can exhibit ergodic or non-ergodic behavior, which is characterized by elliptic, parabolic or hyperbolic monodromy of an auxiliary equation; or equivalently, which coadjoint Virasoro orbit the state lies on. These results allow us to establish an extended version of the eigenstate thermalization hypothesis (ETH) in theories with a Schwarzian sector. We also elucidate the role of FZZT-type boundary conditions in the Schwarzian theory, shedding light on the physics of microstates associated with ZZ branes and FZZT branes in low dimensional holography.

10.649946

9.42458

12.208093

10.2044

10.105071

10.639553

10.141043

9.819467

9.751406

12.525636

9.19201

9.844014

11.254487

10.01839

10.144817

9.752992

9.730592

9.884145

9.778855

10.582792

9.621599

1511.03209

Yi-Nan Wang

Washington Taylor, Yi-Nan Wang

The F-theory geometry with most flux vacua

19 pages, 2 figures, v3: minor corrections, clarifications, references added

null

10.1007/JHEP12(2015)164

MIT-CTP-4732

hep-th

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

Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold ${\cal M}_{\rm max}$ gives rise to ${\cal O} (10^{272,000})$ F-theory flux vacua, and that the sum total of the numbers of flux vacua from all other F-theory geometries is suppressed by a relative factor of ${\cal O} (10^{-3000})$. The fourfold ${\cal M}_{\rm max}$ arises from a generic elliptic fibration over a specific toric threefold base $B_{\rm max}$, and gives a geometrically non-Higgsable gauge group of $E_8^9 \times F_4^8 \times (G_2 \times SU(2))^{16}$, of which we expect some factors to be broken by G-flux to smaller groups. It is not possible to tune an $SU(5)$ GUT group on any further divisors in ${\cal M}_{\rm max}$, or even an $SU(2)$ or $SU(3)$, so the standard model gauge group appears to arise in this context only from a broken $E_8$ factor. The results of this paper can either be interpreted as providing a framework for predicting how the standard model arises most naturally in F-theory and the types of dark matter to be found in a typical F-theory compactification, or as a challenge to string theorists to explain why other choices of vacua are not exponentially unlikely compared to F-theory compactifications on ${\cal M}_{\rm max}$.

[ { "created": "Tue, 10 Nov 2015 18:10:25 GMT", "version": "v1" }, { "created": "Wed, 18 Nov 2015 16:57:37 GMT", "version": "v2" }, { "created": "Sun, 29 Nov 2015 19:55:24 GMT", "version": "v3" } ]

2016-01-27

[ [ "Taylor", "Washington", "" ], [ "Wang", "Yi-Nan", "" ] ]

Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold ${\cal M}_{\rm max}$ gives rise to ${\cal O} (10^{272,000})$ F-theory flux vacua, and that the sum total of the numbers of flux vacua from all other F-theory geometries is suppressed by a relative factor of ${\cal O} (10^{-3000})$. The fourfold ${\cal M}_{\rm max}$ arises from a generic elliptic fibration over a specific toric threefold base $B_{\rm max}$, and gives a geometrically non-Higgsable gauge group of $E_8^9 \times F_4^8 \times (G_2 \times SU(2))^{16}$, of which we expect some factors to be broken by G-flux to smaller groups. It is not possible to tune an $SU(5)$ GUT group on any further divisors in ${\cal M}_{\rm max}$, or even an $SU(2)$ or $SU(3)$, so the standard model gauge group appears to arise in this context only from a broken $E_8$ factor. The results of this paper can either be interpreted as providing a framework for predicting how the standard model arises most naturally in F-theory and the types of dark matter to be found in a typical F-theory compactification, or as a challenge to string theorists to explain why other choices of vacua are not exponentially unlikely compared to F-theory compactifications on ${\cal M}_{\rm max}$.

6.08373

6.310338

7.02926

5.970113

6.28878

6.225519

6.541416

6.072717

6.030444

7.052547

6.176502

5.835801

5.899261

5.662494

5.64808

5.798399

5.678279

5.724817

5.697346

5.860232

5.706348

2206.05784

Carlos M. Reyes

Justo Lopez-Sarrion, Carlos M. Reyes and Cesar Riquelme

Tree-level unitarity, causality and higher-order Lorentz and CPT violation

19 pages, 2 figures

null

10.1103/PhysRevD.106.095006

null

hep-th

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

Higher-order effects of CPT and Lorentz violation within the SME effective framework including Myers-Pospelov dimension-five operator terms are studied. The model is canonically quantized by giving special attention to the arising of indefinite-metric states or ghosts in an indefinite Fock space. As is well-known, without a perturbative treatment that avoids the propagation of ghost modes or any other approximation, one has to face the question of whether unitarity and microcausality are preserved. In this work, we study both possible issues. We found that microcausality is preserved due to the cancellation of residues occurring in pairs or conjugate pairs when they become complex. Also, by using the Lee-Wick prescription, we prove that the $S$ matrix can be defined as perturbatively unitary for tree-level $2\to 2$ processes with an internal fermion line.

[ { "created": "Sun, 12 Jun 2022 16:34:17 GMT", "version": "v1" } ]

2022-11-23

[ [ "Lopez-Sarrion", "Justo", "" ], [ "Reyes", "Carlos M.", "" ], [ "Riquelme", "Cesar", "" ] ]

Higher-order effects of CPT and Lorentz violation within the SME effective framework including Myers-Pospelov dimension-five operator terms are studied. The model is canonically quantized by giving special attention to the arising of indefinite-metric states or ghosts in an indefinite Fock space. As is well-known, without a perturbative treatment that avoids the propagation of ghost modes or any other approximation, one has to face the question of whether unitarity and microcausality are preserved. In this work, we study both possible issues. We found that microcausality is preserved due to the cancellation of residues occurring in pairs or conjugate pairs when they become complex. Also, by using the Lee-Wick prescription, we prove that the $S$ matrix can be defined as perturbatively unitary for tree-level $2\to 2$ processes with an internal fermion line.

15.294628

14.809974

16.31325

14.18224

15.433045

15.315405

14.604288

14.352026

13.739194

17.20916

14.450223

15.100058

14.395961

14.355181

15.094781

14.502791

14.645506

14.422674

14.734423

14.877299

14.847169

1204.1192

Emanuele Levi Mr.

Emanuele Levi

Composite branch-point twist fields in the Ising model and their expectation values

null

J. Phys. A: Math. Theor. 45 275401 (2012)

10.1088/1751-8113/45/27/275401

null

hep-th cond-mat.stat-mech

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

We investigate a particular two-point function of the $n$-copy Ising model. That is, the correlation function $\vev{\E(r)\T(0)}$ involving the energy field and the branch-point twist field. The latter is associated to the symmetry of the theory under cyclic permutations of its copies. We use a form factor expansion to obtain an exact integral representation of $\vev{\E(r)\T(0)}$ and find its complete short distance expansion. This allows us to identify all the fields contributing in the short distance massive OPE of the correlation function under examination, and fix their expectation values, conformal structure constants and massive corrections thereof. Most contributions are given by the composite field $:\E\T:$ and its derivatives. We find all non-vanishing form factors of this latter operator.

[ { "created": "Thu, 5 Apr 2012 12:11:36 GMT", "version": "v1" } ]

2014-01-21

[ [ "Levi", "Emanuele", "" ] ]

We investigate a particular two-point function of the $n$-copy Ising model. That is, the correlation function $\vev{\E(r)\T(0)}$ involving the energy field and the branch-point twist field. The latter is associated to the symmetry of the theory under cyclic permutations of its copies. We use a form factor expansion to obtain an exact integral representation of $\vev{\E(r)\T(0)}$ and find its complete short distance expansion. This allows us to identify all the fields contributing in the short distance massive OPE of the correlation function under examination, and fix their expectation values, conformal structure constants and massive corrections thereof. Most contributions are given by the composite field $:\E\T:$ and its derivatives. We find all non-vanishing form factors of this latter operator.

12.5057

11.290726

13.057817

11.276285

12.00617

12.603784

12.310715

11.559919

11.022069

13.943475

11.678951

11.029421

11.405712

11.048279

10.900652

11.447902

11.177377

11.000984

11.115573

11.628866

11.008478

2407.16752

Adam Tropper

Erin Crawley, Andrew Strominger, and Adam Tropper

Chiral Soft Algebras for $\mathcal{N} = 2$ Gauge Theory

21 pages + appendices

null

hep-th math-ph math.MP

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

Some time ago, Seiberg and Witten solved for moduli spaces of vacua parameterized by scalar vacuum expectation values in $\mathcal{N}=2$ gauge theories. More recently, new vacua associated to soft theorems and asymptotic symmetries have been found. This paper takes some first steps towards a complete picture of the infrared geometry of $\mathcal{N}=2$ gauge theory incorporating both of these infrared structures.

[ { "created": "Tue, 23 Jul 2024 18:00:02 GMT", "version": "v1" } ]

2024-07-25

[ [ "Crawley", "Erin", "" ], [ "Strominger", "Andrew", "" ], [ "Tropper", "Adam", "" ] ]

Some time ago, Seiberg and Witten solved for moduli spaces of vacua parameterized by scalar vacuum expectation values in $\mathcal{N}=2$ gauge theories. More recently, new vacua associated to soft theorems and asymptotic symmetries have been found. This paper takes some first steps towards a complete picture of the infrared geometry of $\mathcal{N}=2$ gauge theory incorporating both of these infrared structures.

9.120716

7.886639

8.856519

8.185297

8.209125

7.944962

7.620016

7.602506

7.737259

9.616072

7.994175

7.557555

8.368004

7.787236

7.722399

7.536967

8.292905

7.811094

7.620882

7.844215

7.410214

1605.05559

Tomas Ortin

Igor A. Bandos and Tomas Ortin

On the dualization of scalars into (d-2)-forms in supergravity. Momentum maps, R-symmetry and gauged supergravity

62 pages. A few minor misprints corrected

null

10.1007/JHEP08(2016)135

IFT-UAM/CSIC-15-022

hep-th

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

We review and investigate different aspects of scalar fields in supergravity theories both when they parametrize symmetric spaces and when they parametrize spaces of special holonomy which are not necessarily symmetric (Kahler and Quaternionic-Kahler spaces): their role in the definition of derivatives of the fermions covariant under the R-symmetry group and (in gauged supergravities) under some gauge group, their dualization into (d-2)-forms, their role in the supersymmetry transformation rules (via fermion shifts, for instance) etc. We find a general definition of momentum map that applies to any manifold admitting a Killing vector and coincides with those of the holomorphic and tri-holomorphic momentum maps in Kahler and Quaternionic-Kahler spaces and with an independent definition that can be given in symmetric spaces. We show how the momentum map occurs ubiquitously: in gauge-covariant derivatives of fermions, in fermion shifts, in the supersymmetry transformation rules of (d-2)-forms etc. We also give the general structure of the Noether-Gaillard-Zumino conserved currents in theories with fields of different ranks in any dimension.

[ { "created": "Wed, 18 May 2016 12:49:08 GMT", "version": "v1" }, { "created": "Wed, 3 Aug 2016 14:40:52 GMT", "version": "v2" } ]

2016-09-21

[ [ "Bandos", "Igor A.", "" ], [ "Ortin", "Tomas", "" ] ]

We review and investigate different aspects of scalar fields in supergravity theories both when they parametrize symmetric spaces and when they parametrize spaces of special holonomy which are not necessarily symmetric (Kahler and Quaternionic-Kahler spaces): their role in the definition of derivatives of the fermions covariant under the R-symmetry group and (in gauged supergravities) under some gauge group, their dualization into (d-2)-forms, their role in the supersymmetry transformation rules (via fermion shifts, for instance) etc. We find a general definition of momentum map that applies to any manifold admitting a Killing vector and coincides with those of the holomorphic and tri-holomorphic momentum maps in Kahler and Quaternionic-Kahler spaces and with an independent definition that can be given in symmetric spaces. We show how the momentum map occurs ubiquitously: in gauge-covariant derivatives of fermions, in fermion shifts, in the supersymmetry transformation rules of (d-2)-forms etc. We also give the general structure of the Noether-Gaillard-Zumino conserved currents in theories with fields of different ranks in any dimension.

8.65921

8.406913

9.039899

8.301534

8.818926

9.309587

10.289347

8.882604

8.575112

10.362003

8.758616

8.142287

8.540318

8.416045

8.175902

8.416381

8.463407

8.424385

8.284236

8.692848

8.288234

1902.07066

Z. Zodinmawia

Arjun Bagchi, Amartya Saha, Zodinmawia

BMS Characters and Modular Invariance

39 pages, 2 figures, ordering of the sections changed, figure 1 changed, references added, footnotes added, typos corrected. Matched published version

JHEP07(2019)138

10.1007/JHEP07(2019)138

null

hep-th

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

We construct the characters for the highest weight representations of the 3d Bondi-Metzner-Sachs (BMS$_3$) algebra. We then use these to construct the partition function and show how to use BMS modular transformations to obtain a density of primary states. The entropy thus obtained accounts for the principle part of the entropy obtained from the BMS-Cardy formula. This suggests that BMS primaries capture most of the entropy of Flat Space Cosmologies, which are the flatspace analogues of BTZ black holes in AdS$_3$. We reproduce our character formula by looking at singular limits from 2d CFT characters and find that our answers are identical to the characters obtained for the very different induced representations. We offer an algebraic explanation to this arising from a (to the best of our knowledge) novel automorphism in the parent 2d CFT.

[ { "created": "Tue, 19 Feb 2019 14:21:04 GMT", "version": "v1" }, { "created": "Thu, 25 Jul 2019 10:55:46 GMT", "version": "v2" } ]

2019-07-26

[ [ "Bagchi", "Arjun", "" ], [ "Saha", "Amartya", "" ], [ "Zodinmawia", "", "" ] ]

We construct the characters for the highest weight representations of the 3d Bondi-Metzner-Sachs (BMS$_3$) algebra. We then use these to construct the partition function and show how to use BMS modular transformations to obtain a density of primary states. The entropy thus obtained accounts for the principle part of the entropy obtained from the BMS-Cardy formula. This suggests that BMS primaries capture most of the entropy of Flat Space Cosmologies, which are the flatspace analogues of BTZ black holes in AdS$_3$. We reproduce our character formula by looking at singular limits from 2d CFT characters and find that our answers are identical to the characters obtained for the very different induced representations. We offer an algebraic explanation to this arising from a (to the best of our knowledge) novel automorphism in the parent 2d CFT.

12.78548

13.141359

13.609439

10.929663

12.190223

12.223298

12.013865

11.591702

11.673098

14.362237

11.234516

11.286218

12.150311

11.84838

11.60612

11.372917

11.523464

11.700217

11.652957

12.48165

11.467453

hep-th/9912092

Dirk Kreimer

Alain Connes and Dirk Kreimer

Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem

35p, 18 eps-figures, to appear in Commun.Math.Phys

Commun.Math.Phys. 210 (2000) 249-273

10.1007/s002200050779

MZ-TH/99-54

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

null

This paper gives a complete selfcontained proof of our result announced in hep-th/9909126 showing that renormalization in quantum field theory is a special instance of a general mathematical procedure of extraction of finite values based on the Riemann-Hilbert problem. We shall first show that for any quantum field theory, the combinatorics of Feynman graphs gives rise to a Hopf algebra $\Hc$ which is commutative as an algebra. It is the dual Hopf algebra of the envelopping algebra of a Lie algebra $\ud G$ whose basis is labelled by the one particle irreducible Feynman graphs. The Lie bracket of two such graphs is computed from insertions of one graph in the other and vice versa. The corresponding Lie group $G$ is the group of characters of $\Hc$. We shall then show that, using dimensional regularization, the bare (unrenormalized) theory gives rise to a loop $$ \g (z) \in G \qquad z \in C $$ where $C$ is a small circle of complex dimensions around the integer dimension $D$ of space-time. Our main result is that the renormalized theory is just the evaluation at $z = D$ of the holomorphic part $\g_+$ of the Birkhoff decomposition of $\g$. We begin to analyse the group $G$ and show that it is a semi-direct product of an easily understood abelian group by a highly non-trivial group closely tied up with groups of diffeomorphisms. The analysis of this latter group as well as the interpretation of the renormalization group and of anomalous dimensions are the content of our second paper with the same overall title.

[ { "created": "Mon, 13 Dec 1999 16:10:51 GMT", "version": "v1" } ]

2009-10-31

[ [ "Connes", "Alain", "" ], [ "Kreimer", "Dirk", "" ] ]

This paper gives a complete selfcontained proof of our result announced in hep-th/9909126 showing that renormalization in quantum field theory is a special instance of a general mathematical procedure of extraction of finite values based on the Riemann-Hilbert problem. We shall first show that for any quantum field theory, the combinatorics of Feynman graphs gives rise to a Hopf algebra $\Hc$ which is commutative as an algebra. It is the dual Hopf algebra of the envelopping algebra of a Lie algebra $\ud G$ whose basis is labelled by the one particle irreducible Feynman graphs. The Lie bracket of two such graphs is computed from insertions of one graph in the other and vice versa. The corresponding Lie group $G$ is the group of characters of $\Hc$. We shall then show that, using dimensional regularization, the bare (unrenormalized) theory gives rise to a loop $$ \g (z) \in G \qquad z \in C $$ where $C$ is a small circle of complex dimensions around the integer dimension $D$ of space-time. Our main result is that the renormalized theory is just the evaluation at $z = D$ of the holomorphic part $\g_+$ of the Birkhoff decomposition of $\g$. We begin to analyse the group $G$ and show that it is a semi-direct product of an easily understood abelian group by a highly non-trivial group closely tied up with groups of diffeomorphisms. The analysis of this latter group as well as the interpretation of the renormalization group and of anomalous dimensions are the content of our second paper with the same overall title.

4.612897

6.870819

6.749332

6.078409

6.538769

6.508803

6.580166

6.191867

6.299966

6.747521

5.908655

5.388963

5.627426

5.748235

5.762917

5.644208

5.626624

5.493983

5.742905

5.584338

5.484976

hep-th/9502151

K. Milton

K. A. Milton and R. Das

Finite-Element Lattice Hamiltonian Matrix Eleents. Anharmonic Oscillators

17 pages, RevTeX (three uuencoded postscript figures), available through anonymous ftp from ftp://euclid.tp.ph.ic.ac.uk/papers/ or on WWW at http://euclid.tp.ph.ic.ac.uk/Papers/

Lett.Math.Phys. 36 (1996) 177

10.1007/BF00714380

OKHEP-95-01 and Imperial/TP/94-95/23

hep-th

null

The finite-element approach to lattice field theory is both highly accurate (relative errors $\sim 1/N^2$, where $N$ is the number of lattice points) and exactly unitary (in the sense that canonical commutation relations are exactly preserved at the lattice sites). In this paper we construct matrix elements for the time evolution operator for the anharmonic oscillator, for which the continuum Hamiltonian is $H=p^2/2+\lambda q^{2k}/2k$. Construction of such matrix elements does not require solving the implicit equations of motion. Low order approximations turn out to be quite accurate. For example, the matrix element of the time evolution operator in the harmonic oscillator ground state gives a result for the $k=2$ anharmonic oscillator ground state energy accurate to better than 1\%, while a two-state approximation reduces the error to less than 0.1\%. Accurate wavefunctions are also extracted. Analogous results may be obtained in the continuum, but there the computation is more difficult, and not generalizable to field theories in more dimensions.

[ { "created": "Mon, 27 Feb 1995 15:20:22 GMT", "version": "v1" } ]

2016-09-06

[ [ "Milton", "K. A.", "" ], [ "Das", "R.", "" ] ]

The finite-element approach to lattice field theory is both highly accurate (relative errors $\sim 1/N^2$, where $N$ is the number of lattice points) and exactly unitary (in the sense that canonical commutation relations are exactly preserved at the lattice sites). In this paper we construct matrix elements for the time evolution operator for the anharmonic oscillator, for which the continuum Hamiltonian is $H=p^2/2+\lambda q^{2k}/2k$. Construction of such matrix elements does not require solving the implicit equations of motion. Low order approximations turn out to be quite accurate. For example, the matrix element of the time evolution operator in the harmonic oscillator ground state gives a result for the $k=2$ anharmonic oscillator ground state energy accurate to better than 1\%, while a two-state approximation reduces the error to less than 0.1\%. Accurate wavefunctions are also extracted. Analogous results may be obtained in the continuum, but there the computation is more difficult, and not generalizable to field theories in more dimensions.

6.860659

6.761229

5.552231

6.38463

6.884732

7.3657

7.385192

7.654041

7.144464

7.020945

7.038645

6.732427

6.48913

6.567499

6.622571

6.708906

6.559544

6.870056

6.398529

6.845873

6.531961

1303.3923

James Cline

James M. Cline

The validity of perturbation theory for the O(N) nonlinear sigma models

6 pages, 3 figures; retypeset in latex for volume honoring John Preskill on his 60th birthday

Phys.Lett. B173 (1986) 173

10.1016/0370-2693(86)90241-8

CALT-68-1331

hep-th

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

Recently it has been claimed that ordinary perturbation theory (OPT) gives incorrect weak coupling expansions for lattice O(N) non-linear sigma models in the infinite volume limit, and in particular that the two-dimensional non-abelian models are not asymptotically free, contrary to previous findings. Here it is argued that the problem occurs only for one-dimensional infinite lattices, and that in general, OPT gives correct expansions if physical quantities are first computed on a finite lattice, and the infinite volume limit is taken at the end. In one dimension the expansion is sensitive to boundary conditions because of the severe infrared behavior, but this is not expected to happen in higher dimensions. It is concluded that spin configurations which are far from the perturbative vacuum have too small a measure in the path integral to invalidate OPT, even though they are energetically allowed for non-zero values of the coupling.

[ { "created": "Fri, 15 Mar 2013 22:52:34 GMT", "version": "v1" } ]

2013-03-19

[ [ "Cline", "James M.", "" ] ]

Recently it has been claimed that ordinary perturbation theory (OPT) gives incorrect weak coupling expansions for lattice O(N) non-linear sigma models in the infinite volume limit, and in particular that the two-dimensional non-abelian models are not asymptotically free, contrary to previous findings. Here it is argued that the problem occurs only for one-dimensional infinite lattices, and that in general, OPT gives correct expansions if physical quantities are first computed on a finite lattice, and the infinite volume limit is taken at the end. In one dimension the expansion is sensitive to boundary conditions because of the severe infrared behavior, but this is not expected to happen in higher dimensions. It is concluded that spin configurations which are far from the perturbative vacuum have too small a measure in the path integral to invalidate OPT, even though they are energetically allowed for non-zero values of the coupling.

9.091537

10.471051

9.681902

9.036645

9.5859

10.53758

9.394071

9.802653

9.181469

10.892525

9.57717

9.419722

8.90559

8.976987

9.177707

9.079725

9.208914

9.203699

9.024481

9.18974

8.980071

hep-th/0310286

Ehud Schreiber

K. Furuuchi, E. Schreiber, G. W. Semenoff

Five-Brane Thermodynamics from the Matrix Model

1+34 pages, JHEP style. v2: typos, refs corrected

null

hep-th

null

A certain sector of the matrix model for M-theory on a plane wave background has recently been shown to produce the transverse five-brane. We consider this theory at finite temperature. We find that, at a critical temperature it has a Gross-Witten phase transition which corresponds to deconfinement of the matrix model gauge theory. We interpret the phase transition as the Hagedorn transition of M-theory and of type II string theory in the five-brane background. We also show that there is no Hagedorn behaviour in the transverse membrane background case.

[ { "created": "Thu, 30 Oct 2003 21:45:47 GMT", "version": "v1" }, { "created": "Wed, 5 May 2004 23:32:16 GMT", "version": "v2" } ]

2007-05-23

[ [ "Furuuchi", "K.", "" ], [ "Schreiber", "E.", "" ], [ "Semenoff", "G. W.", "" ] ]

A certain sector of the matrix model for M-theory on a plane wave background has recently been shown to produce the transverse five-brane. We consider this theory at finite temperature. We find that, at a critical temperature it has a Gross-Witten phase transition which corresponds to deconfinement of the matrix model gauge theory. We interpret the phase transition as the Hagedorn transition of M-theory and of type II string theory in the five-brane background. We also show that there is no Hagedorn behaviour in the transverse membrane background case.

8.989741

7.609663

8.956903

7.318562

7.134908

7.411368

7.721757

7.343159

7.232474

10.127193

7.168676

7.618207

8.064946

7.366854

7.577824

7.227427

7.579465

7.237685

7.733751

7.681117

7.25224

1608.06207

Salvatore Mignemi

S. Meljanac, D. Meljanac, S. Mignemi and R. \v{S}trajn

Snyder-type spaces, twisted Poincar\'e algebra and addition of momenta

11 pages

Int. J. Mod. Phys. A 32, 1750172 (2017)

10.1142/S0217751X1750172X

null

hep-th

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

We discuss a generalisation of the Snyder model that includes all the possible deformations of the Heisenberg algebra compatible with Lorentz invariance, in terms of realisations of the noncommutative geometry. The corresponding deformed addition of momenta, the twist and the $R$-matrix are calculated to first order in the deformation parameters for all models. In the particular case of the Snyder realisation, the exact formula for the twist is obtained.

[ { "created": "Mon, 22 Aug 2016 16:11:13 GMT", "version": "v1" }, { "created": "Sun, 5 Mar 2017 10:05:45 GMT", "version": "v2" }, { "created": "Thu, 26 Oct 2017 09:31:41 GMT", "version": "v3" } ]

2017-11-22

[ [ "Meljanac", "S.", "" ], [ "Meljanac", "D.", "" ], [ "Mignemi", "S.", "" ], [ "Štrajn", "R.", "" ] ]

We discuss a generalisation of the Snyder model that includes all the possible deformations of the Heisenberg algebra compatible with Lorentz invariance, in terms of realisations of the noncommutative geometry. The corresponding deformed addition of momenta, the twist and the $R$-matrix are calculated to first order in the deformation parameters for all models. In the particular case of the Snyder realisation, the exact formula for the twist is obtained.

7.827703

6.55728

7.362684

6.704727

6.741773

6.897814

6.409578

6.66879

6.855989

7.888805

6.862207

7.451634

7.775236

6.980765

7.392498

7.238628

6.871066

7.202072

7.336046

7.368102

7.19946

1411.7989

Piotr Surowka

Gim Seng Ng, Piotr Sur\'owka

One-loop effective actions and 2D hydrodynamics with anomalies

5 pages

Phys. Lett. B 746 (2015) 281

10.1016/j.physletb.2015.05.011

null

hep-th cond-mat.mes-hall cond-mat.str-el

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

We revisit the study of a 2D quantum field theory in the hydrodynamic regime and develop a formalism based on Euclidean one-loop partition functions that is suitable to analyze transport properties due to gauge and gravitational anomalies. To do so, we generalize the method of a modified Dirac operator developed for zero-temperature anomalies to finite temperature, chemical potentials and rotations.

[ { "created": "Fri, 28 Nov 2014 20:18:30 GMT", "version": "v1" }, { "created": "Fri, 22 May 2015 19:24:29 GMT", "version": "v2" } ]

2015-05-25

[ [ "Ng", "Gim Seng", "" ], [ "Surówka", "Piotr", "" ] ]

We revisit the study of a 2D quantum field theory in the hydrodynamic regime and develop a formalism based on Euclidean one-loop partition functions that is suitable to analyze transport properties due to gauge and gravitational anomalies. To do so, we generalize the method of a modified Dirac operator developed for zero-temperature anomalies to finite temperature, chemical potentials and rotations.

16.861237

13.146736

14.991194

13.556003

14.01093

14.397907

13.760164

13.25302

12.951917

15.251307

13.431314

13.852119

15.688875

14.110693

14.46069

13.951643

13.787582

14.159278

13.939633

15.948829

13.715148

1812.04147

Clay C\'ordova

Clay Cordova, G. Bruno De Luca, Alessandro Tomasiello

Classical de Sitter Solutions of Ten-Dimensional Supergravity

5 pages, 2 figures. v2 additional comments and references

Phys. Rev. Lett. 122, 091601 (2019)

10.1103/PhysRevLett.122.091601

null

hep-th

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

We find four-dimensional de Sitter compactifications of type IIA supergravity by directly solving the ten-dimensional equations of motion. In the simplest examples, the internal space has the topology of a circle times an Einstein manifold of negative curvature. An orientifold acts on the circle with two fixed loci, at which an O8$_-$ and an O8$_+$ plane sit. These orientifold planes are fully backreacted and localized. While the solutions are numerical, the charge and tension of the orientifold planes can be verified analytically. Our solutions have moduli at tree level and can be made parametrically weakly-coupled and weakly-curved. Their fate in string theory depends on quantum corrections.

[ { "created": "Mon, 10 Dec 2018 23:29:02 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2019 14:27:10 GMT", "version": "v2" } ]

2019-03-13

[ [ "Cordova", "Clay", "" ], [ "De Luca", "G. Bruno", "" ], [ "Tomasiello", "Alessandro", "" ] ]

We find four-dimensional de Sitter compactifications of type IIA supergravity by directly solving the ten-dimensional equations of motion. In the simplest examples, the internal space has the topology of a circle times an Einstein manifold of negative curvature. An orientifold acts on the circle with two fixed loci, at which an O8$_-$ and an O8$_+$ plane sit. These orientifold planes are fully backreacted and localized. While the solutions are numerical, the charge and tension of the orientifold planes can be verified analytically. Our solutions have moduli at tree level and can be made parametrically weakly-coupled and weakly-curved. Their fate in string theory depends on quantum corrections.

8.574261

8.706907

10.924846

7.66682

7.946348

8.255766

8.430675

8.013435

7.956619

11.298931

7.521091

8.538871

9.014249

8.590822

8.145126

8.243971

8.329756

8.438447

8.565645

9.292771

8.470016

0708.2210

Edouard Brezin

E. Brezin and S. Hikami

Intersection theory from duality and replica

null

Commun.Math.Phys.283:507-521,2008

10.1007/s00220-008-0519-0

null

hep-th math-ph math.MP

null

Kontsevich's work on Airy matrix integrals has led to explicit results for the intersection numbers of the moduli space of curves. In this article we show that a duality between k-point functions on $N\times N$ matrices and N-point functions of $k\times k$ matrices, plus the replica method, familiar in the theory of disordered systems, allows one to recover Kontsevich's results on the intersection numbers, and to generalize them to other models. This provides an alternative and simple way to compute intersection numbers with one marked point, and leads also to some new results.

[ { "created": "Thu, 16 Aug 2007 14:50:35 GMT", "version": "v1" } ]

2008-11-26

[ [ "Brezin", "E.", "" ], [ "Hikami", "S.", "" ] ]

Kontsevich's work on Airy matrix integrals has led to explicit results for the intersection numbers of the moduli space of curves. In this article we show that a duality between k-point functions on $N\times N$ matrices and N-point functions of $k\times k$ matrices, plus the replica method, familiar in the theory of disordered systems, allows one to recover Kontsevich's results on the intersection numbers, and to generalize them to other models. This provides an alternative and simple way to compute intersection numbers with one marked point, and leads also to some new results.

8.232111

7.575807

8.867986

7.805886

7.792681

7.904195

7.875187

7.559148

7.437679

8.511111

7.699679

7.201121

7.464645

7.109592

7.067952

7.10972

7.426555

7.248814

7.206261

7.224292

7.008164

1006.4240

Yu-Xiao Liu

Hai-Tao Li, Yu-Xiao Liu, Zhen-Hua Zhao, Heng Guo

Fermion Resonances on a Thick Brane with a Piecewise Warp Factor

V3: 15 pages, 7 figures, published version

Phys.Rev.D83:045006,2011

10.1103/PhysRevD.83.045006

null

hep-th gr-qc hep-ph

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

In this paper, we mainly investigate the problems of resonances of massive KK fermions on a single scalar constructed thick brane with a piecewise warp factor matching smoothly. The distance between two boundaries and the other parameters are determined by one free parameter through three junction conditions. For the generalized Yukawa coupling $\eta\bar{\Psi}\phi^{k}\Psi$ with odd $k=1,3,5,...$, the mass eigenvalue $m$, width $\Gamma$, lifetime $\tau$, and maximal probability $P_{max}$ of fermion resonances are obtained. Our numerical calculations show that the brane without internal structure also favors the appearance of resonant states for both left- and right-handed fermions. The scalar-fermion coupling and the thickness of the brane influence the resonant behaviors of the massive KK fermions.

[ { "created": "Tue, 22 Jun 2010 09:24:52 GMT", "version": "v1" }, { "created": "Sat, 22 Jan 2011 13:43:06 GMT", "version": "v2" }, { "created": "Thu, 10 Feb 2011 03:08:23 GMT", "version": "v3" } ]

2011-02-11

[ [ "Li", "Hai-Tao", "" ], [ "Liu", "Yu-Xiao", "" ], [ "Zhao", "Zhen-Hua", "" ], [ "Guo", "Heng", "" ] ]

In this paper, we mainly investigate the problems of resonances of massive KK fermions on a single scalar constructed thick brane with a piecewise warp factor matching smoothly. The distance between two boundaries and the other parameters are determined by one free parameter through three junction conditions. For the generalized Yukawa coupling $\eta\bar{\Psi}\phi^{k}\Psi$ with odd $k=1,3,5,...$, the mass eigenvalue $m$, width $\Gamma$, lifetime $\tau$, and maximal probability $P_{max}$ of fermion resonances are obtained. Our numerical calculations show that the brane without internal structure also favors the appearance of resonant states for both left- and right-handed fermions. The scalar-fermion coupling and the thickness of the brane influence the resonant behaviors of the massive KK fermions.

10.447818

9.036392

10.478429

8.94537

9.764544

9.188847

8.926149

8.612637

9.264496

11.338079

8.475916

9.47061

10.178115

9.48367

9.578872

9.226003

9.749847

9.230165

9.586256

9.5984

9.912363

1110.4974

Aybike Ozer

Aybike Catal-Ozer, Cemsinan Deliduman, Ulas Saka

A Massive S-duality in 4 dimensions

20 pages, references added

JHEP 1112:102,2011

10.1007/JHEP12(2011)102

null

hep-th

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

We reduce the Type IIA supergravity theory with a generalized Scherk-Schwarz ansatz that exploits the scaling symmetry of the dilaton, the metric and the NS 2-form field. The resulting theory is a new massive, gauged supergravity theory in four dimensions with a massive 2-form field and a massive 1-form field. We show that this theory is S-dual to a theory with a massive vector field and a massive 2-form field, which are dual to the massive 2-form and 1-form fields in the original theory, respectively. The S-dual theory is shown to arise from a Scherk-Schwarz reduction of the heterotic theory. Hence we establish a massive, S-duality type relation between the IIA theory and the heterotic theory in four dimensions. We also show that the Lagrangian for the new four dimensional theory can be put in the most general form of a D=4, N=4 gauged Lagrangian found by Schon and Weidner, in which (part of) the SL(2) group has been gauged.

[ { "created": "Sat, 22 Oct 2011 14:50:13 GMT", "version": "v1" }, { "created": "Tue, 24 Jan 2012 09:46:35 GMT", "version": "v2" } ]

2015-05-30

[ [ "Catal-Ozer", "Aybike", "" ], [ "Deliduman", "Cemsinan", "" ], [ "Saka", "Ulas", "" ] ]

We reduce the Type IIA supergravity theory with a generalized Scherk-Schwarz ansatz that exploits the scaling symmetry of the dilaton, the metric and the NS 2-form field. The resulting theory is a new massive, gauged supergravity theory in four dimensions with a massive 2-form field and a massive 1-form field. We show that this theory is S-dual to a theory with a massive vector field and a massive 2-form field, which are dual to the massive 2-form and 1-form fields in the original theory, respectively. The S-dual theory is shown to arise from a Scherk-Schwarz reduction of the heterotic theory. Hence we establish a massive, S-duality type relation between the IIA theory and the heterotic theory in four dimensions. We also show that the Lagrangian for the new four dimensional theory can be put in the most general form of a D=4, N=4 gauged Lagrangian found by Schon and Weidner, in which (part of) the SL(2) group has been gauged.

5.007576

5.207738

6.141788

4.93989

5.375297

5.301472

5.351101

5.120055

5.094174

6.102567

5.069763

4.917905

5.311636

4.994557

4.829797

4.822705

4.809129

4.839591

4.908361

5.207211

4.742424

hep-th/0306169

Daniel Heber Theodoro Franco

D.H.T. Franco and J.L. Acebal

Microlocal Analysis and Renormalization in Finite Temperature Field Theory

New title. Version to appear in International Journal of Theoretical Physics

Int.J.Theor.Phys.46:383-398,2007

10.1007/s10773-006-9239-4

null

hep-th

null

We reassess the problem of renormalization in finite temperature field theory (FTFT). A new point of view elucidates the relation between the ultraviolet divergences for T=0 and $T \not= 0$ theories and makes clear the reason why the ultraviolet behavior keeps unaffected when we consider the FTFT version associated to a given quantum field theory (QFT). The strength of the derivation one lies on the H\"ormander's criterion for the existence of products of distributions in terms of the wavefront sets of the respective distributions. The approach allows us to regard the FTFT both imaginary and real time formalism at once in a unified way in the contour ordered formalism.

[ { "created": "Wed, 18 Jun 2003 00:17:48 GMT", "version": "v1" }, { "created": "Tue, 22 Aug 2006 18:16:15 GMT", "version": "v2" } ]

2008-11-26

[ [ "Franco", "D. H. T.", "" ], [ "Acebal", "J. L.", "" ] ]

We reassess the problem of renormalization in finite temperature field theory (FTFT). A new point of view elucidates the relation between the ultraviolet divergences for T=0 and $T \not= 0$ theories and makes clear the reason why the ultraviolet behavior keeps unaffected when we consider the FTFT version associated to a given quantum field theory (QFT). The strength of the derivation one lies on the H\"ormander's criterion for the existence of products of distributions in terms of the wavefront sets of the respective distributions. The approach allows us to regard the FTFT both imaginary and real time formalism at once in a unified way in the contour ordered formalism.

14.726325

14.330126

15.162838

13.052814

13.485859

14.038272

13.954427

13.662741

13.572451

15.207434

13.830192

12.877507

13.824622

13.036459

13.241423

13.417432

13.126035

12.70799

13.081421

13.647403

12.652028

0711.3226

Riccardo Ricci

Nadav Drukker, Simone Giombi, Riccardo Ricci, Diego Trancanelli

Supersymmetric Wilson loops on S^3

Latex, 84 pages, 4 figures. v2: minor changes, references added; to appear in JHEP

JHEP0805:017,2008

10.1088/1126-6708/2008/05/017

null

hep-th

null

This paper studies in great detail a family of supersymmetric Wilson loop operators in N=4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S^3 in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS_4 x S^2. We then discuss loops restricted to S^2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.

[ { "created": "Tue, 20 Nov 2007 22:21:19 GMT", "version": "v1" }, { "created": "Sun, 27 Apr 2008 21:16:23 GMT", "version": "v2" } ]

2008-11-26

[ [ "Drukker", "Nadav", "" ], [ "Giombi", "Simone", "" ], [ "Ricci", "Riccardo", "" ], [ "Trancanelli", "Diego", "" ] ]

This paper studies in great detail a family of supersymmetric Wilson loop operators in N=4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S^3 in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS_4 x S^2. We then discuss loops restricted to S^2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.

11.279214

9.816125

12.780186

10.03687

10.837918

10.022869

10.448535

9.326485

9.919999

13.656338

9.514101

10.054824

11.119742

10.379424

9.789044

9.934376

9.916386

9.977675

10.314024

10.917993

10.388461

hep-th/0003163

Jason Kumar

J. Kumar

Raiders of the Lost AdS

12 pages, LaTeX, references added

JHEP 0005:035,2000

10.1088/1126-6708/2000/05/035

null

hep-th

null

We demonstrate that under certain conditions a theory of conformal quantum mechanics will exhibit the symmetries of two half-Virasoro algebras. We further demonstrate the conditions under which these algebras combine to form a single Virasoro algebra, and comment on the connection between this result and the AdS/CFT correspondence.

[ { "created": "Sat, 18 Mar 2000 23:54:07 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2000 21:52:35 GMT", "version": "v2" } ]

2010-02-03

[ [ "Kumar", "J.", "" ] ]

We demonstrate that under certain conditions a theory of conformal quantum mechanics will exhibit the symmetries of two half-Virasoro algebras. We further demonstrate the conditions under which these algebras combine to form a single Virasoro algebra, and comment on the connection between this result and the AdS/CFT correspondence.

8.182515

7.410163

7.562766

7.357566

7.492527

7.110951

7.621843

6.853219

7.179312

8.086023

6.895354

6.97212

7.970561

7.351593

6.958694

7.075245

7.348088

7.261477

7.207403

7.836052

6.979753

0706.3903

Justin Khoury

Evgeny I. Buchbinder, Justin Khoury, Burt A. Ovrut

On the Initial Conditions in New Ekpyrotic Cosmology

54 pages, 9 figures. v2: typos corrected

JHEP0711:076,2007

10.1088/1126-6708/2007/11/076

null

hep-th astro-ph hep-ph

null

New Ekpyrotic Cosmology is an alternative scenario of early universe cosmology in which the universe existed before the big bang. The simplest model relies on two scalar fields, whose entropy perturbation leads to a scale-invariant spectrum of density fluctuations. The ekpyrotic solution has a tachyonic instability along the entropy field direction which, a priori, appears to require fine-tuning of the initial conditions. In this paper, we show that these can be achieved naturally by adding a small positive mass term for the tachyonic field and coupling to light fermions. Then, for a wide range of initial conditions, the tachyonic field gets stabilized with the appropriate values well before the onset of the ekpyrotic phase. Furthermore, we show that ekpyrotic theory is successful in solving the flatness, horizon and homogeneity problems of standard big bang cosmology. Motivated by the analysis of the tachyonic instability, we propose a simplification of the model in terms of new field variables. Instead of requiring two exponential potentials, one for each scalar field, it suffices to consider a single nearly exponential potential for one of the fields and a tachyonic mass term along the orthogonal direction in field space. All other terms in the potential are essentially arbitrary. This greatly widens the class of ekpyrotic potentials and allows substantial freedom in determining the spectral index and possible non-Gaussianity. We present a generalized expression for the spectral index which is easily consistent with the observed red tilt. We also argue that for a wide range of potentials non-Gaussianity can be substantial, within the reach of current observations.

[ { "created": "Tue, 26 Jun 2007 20:14:56 GMT", "version": "v1" }, { "created": "Wed, 22 Aug 2007 21:40:26 GMT", "version": "v2" } ]

2008-11-26

[ [ "Buchbinder", "Evgeny I.", "" ], [ "Khoury", "Justin", "" ], [ "Ovrut", "Burt A.", "" ] ]

New Ekpyrotic Cosmology is an alternative scenario of early universe cosmology in which the universe existed before the big bang. The simplest model relies on two scalar fields, whose entropy perturbation leads to a scale-invariant spectrum of density fluctuations. The ekpyrotic solution has a tachyonic instability along the entropy field direction which, a priori, appears to require fine-tuning of the initial conditions. In this paper, we show that these can be achieved naturally by adding a small positive mass term for the tachyonic field and coupling to light fermions. Then, for a wide range of initial conditions, the tachyonic field gets stabilized with the appropriate values well before the onset of the ekpyrotic phase. Furthermore, we show that ekpyrotic theory is successful in solving the flatness, horizon and homogeneity problems of standard big bang cosmology. Motivated by the analysis of the tachyonic instability, we propose a simplification of the model in terms of new field variables. Instead of requiring two exponential potentials, one for each scalar field, it suffices to consider a single nearly exponential potential for one of the fields and a tachyonic mass term along the orthogonal direction in field space. All other terms in the potential are essentially arbitrary. This greatly widens the class of ekpyrotic potentials and allows substantial freedom in determining the spectral index and possible non-Gaussianity. We present a generalized expression for the spectral index which is easily consistent with the observed red tilt. We also argue that for a wide range of potentials non-Gaussianity can be substantial, within the reach of current observations.

7.338906

7.797699

7.429463

7.001713

7.637763

6.842724

7.798558

7.525051

7.353024

7.752284

7.063538

6.826941

6.68416

6.75632

6.8123

6.86168

6.635288

6.815126

6.828244

6.901615

6.803441

hep-th/9701006

Alfonso Jaramillo

A. Ferrando (1 and 2), A. Jaramillo (1) and S. Shabanov (1). ((1) Valencia U., (2) MIT)

Confinement in 3D Gluodynamics as a 2D Critical Phenomenon

4 pages, LaTeX. Talk presented at the 2nd Int. Conf. on Quark Confinement and the Hadron Spectrum in Como (Italy)

null

FTUV/96-77. IFIC/96-86

hep-th

null

Gluodynamics in 3D spacetime with one spatial direction compactified into a circle of length $L$ is studied. The confinement order parameters, such as the Polyakov loops, are analyzed in both the limits $L \to 0$ and $L \to \infty$. In the latter limit the behavior of the confinement order parameters is shown to be described by a 2D non-linear sigma-model on the compact coset space $G/ad G$, where $G$ is the gauge group and $ad G$ its adjoint action on $G$. Topological vortex-like excitations of the compact field variable cause a Kosterlitz-Thouless phase transition which is argued to be associated with the confinement phase transition in the 3D gluodynamics.

[ { "created": "Fri, 3 Jan 1997 11:24:59 GMT", "version": "v1" } ]

2016-09-06

[ [ "Ferrando", "A.", "", "1 and 2" ], [ "Jaramillo", "A.", "" ], [ "Shabanov", "S.", "" ], [ ".", "", "" ] ]

Gluodynamics in 3D spacetime with one spatial direction compactified into a circle of length $L$ is studied. The confinement order parameters, such as the Polyakov loops, are analyzed in both the limits $L \to 0$ and $L \to \infty$. In the latter limit the behavior of the confinement order parameters is shown to be described by a 2D non-linear sigma-model on the compact coset space $G/ad G$, where $G$ is the gauge group and $ad G$ its adjoint action on $G$. Topological vortex-like excitations of the compact field variable cause a Kosterlitz-Thouless phase transition which is argued to be associated with the confinement phase transition in the 3D gluodynamics.

5.81004

6.007928

5.950662

5.574416

6.311499

6.129784

5.627058

5.613766

5.589724

6.032779

5.653806

5.29057

5.563318

5.428495

5.30166

5.320608

5.179536

5.275627

5.352402

5.478427

5.294076

hep-th/0105011

A. Hatzinikitas

Agapitos Hatzinikitas and Ioannis Smyrnakis

Noncommutative Quantization in 2D Conformal Field Theory

5 pages, The solitonic contribution to the partition function has been computed. The parameter $\theta$ has been analytically continued to $-i\theta$

Phys.Lett.B546:157-161,2002

10.1016/S0370-2693(02)02629-1

null

hep-th

null

The simplest possible noncommutative harmonic oscillator in two dimensions is used to quantize the free closed bosonic string in two flat dimensions. The partition function is not deformed by the introduction of noncommutativity, if we rescale the time and change the compactification radius appropriately. The four point function is deformed, preserving, nevertheless, the sl(2,C) invariance. Finally the first Ward identity of the deformed theory is derived.

[ { "created": "Wed, 2 May 2001 10:26:57 GMT", "version": "v1" }, { "created": "Tue, 11 Jun 2002 12:23:03 GMT", "version": "v2" } ]

2014-11-18

[ [ "Hatzinikitas", "Agapitos", "" ], [ "Smyrnakis", "Ioannis", "" ] ]

The simplest possible noncommutative harmonic oscillator in two dimensions is used to quantize the free closed bosonic string in two flat dimensions. The partition function is not deformed by the introduction of noncommutativity, if we rescale the time and change the compactification radius appropriately. The four point function is deformed, preserving, nevertheless, the sl(2,C) invariance. Finally the first Ward identity of the deformed theory is derived.

13.022099

11.729785

11.684411

11.158669

12.805876

12.385856

11.497989

11.503503

10.473006

14.261293

10.940331

11.36474

11.846648

10.453937

11.182158

11.224545

10.634405

10.894135

10.636857

12.381937

10.957325

1404.1076

Natalia Toro

Philip Schuster and Natalia Toro

A New Class of Particle in 2+1 Dimensions

4 pages

null

10.1016/j.physletb.2015.02.050

null

hep-th cond-mat.other hep-ph

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

In two spatial dimensions, spin characterizes how particle states re-phase under changes of frame that leave their momentum and energy invariant. Massless particles can in principle have non-trivial spin in this sense, but all existing field theories only describe the trivial case. This letter presents a field theory for a massless particle with non-trivial physical spin. These particles are the 2+1-dimensional analogues of "continuous-spin" particles in 3+1 dimensions, but here they have only two real degrees of freedom, related by parity. They can be understood as massless generalizations of anyons, but are simpler in key respects.

[ { "created": "Thu, 3 Apr 2014 20:00:01 GMT", "version": "v1" } ]

2015-06-19

[ [ "Schuster", "Philip", "" ], [ "Toro", "Natalia", "" ] ]

In two spatial dimensions, spin characterizes how particle states re-phase under changes of frame that leave their momentum and energy invariant. Massless particles can in principle have non-trivial spin in this sense, but all existing field theories only describe the trivial case. This letter presents a field theory for a massless particle with non-trivial physical spin. These particles are the 2+1-dimensional analogues of "continuous-spin" particles in 3+1 dimensions, but here they have only two real degrees of freedom, related by parity. They can be understood as massless generalizations of anyons, but are simpler in key respects.

12.002418

11.821255

11.885513

10.224154

11.181863

10.804173

11.616835

10.545977

11.519575

11.683447

10.572307

10.320254

11.010158

10.477077

10.941545

10.515875

10.647336

10.793875

10.37118

10.865644

10.640936

2107.00199

James Edwards Prof

Naser Ahmadiniaz and Victor Miguel Banda Guzman and Fiorenzo Bastianelli and Olindo Corradini and James P. Edwards and Christian Schubert

Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes

40 pages, 3 figures. Part 2 of a series started by arXiv:2004.01391 [hep-th]

null

10.1007/JHEP01(2022)050

null

hep-th hep-ph

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

In the first part of this series, we employed the second-order formalism and the ``symbol'' map to construct a particle path-integral representation of the electron propagator in a background electromagnetic field, suitable for open fermion-line calculations. Its main advantages are the avoidance of long products of Dirac matrices, and its ability to unify whole sets of Feynman diagrams related by permutation of photon legs along the fermion lines. We obtained a Bern-Kosower type master formula for the fermion propagator, dressed with $N$ photons, in terms of the ``$N$-photon kernel,'' where this kernel appears also in ``subleading'' terms involving only $N$-$1$ of the $N$ photons. In this sequel, we focus on the application of the formalism to the calculation of on-shell amplitudes and cross sections. Universal formulas are obtained for the fully polarised matrix elements of the fermion propagator dressed with an arbitrary number of photons, as well as for the corresponding spin-averaged cross sections. A major simplification of the on-shell case is that the subleading terms drop out, but we also pinpoint other, less obvious simplifications. We use integration by parts to achieve manifest transversality of these amplitudes at the integrand level and exploit this property using the spinor helicity technique. We give a simple proof of the vanishing of the matrix element for ``all $+$'' photon helicities in the massless case, and find a novel relation between the scalar and spinor spin-averaged cross sections in the massive case. Testing the formalism on the standard linear Compton scattering process, we find that it reproduces the known results with remarkable efficiency. Further applications and generalisations are pointed out.

[ { "created": "Thu, 1 Jul 2021 03:35:27 GMT", "version": "v1" } ]

2022-01-26

[ [ "Ahmadiniaz", "Naser", "" ], [ "Guzman", "Victor Miguel Banda", "" ], [ "Bastianelli", "Fiorenzo", "" ], [ "Corradini", "Olindo", "" ], [ "Edwards", "James P.", "" ], [ "Schubert", "Christian", "" ] ]

In the first part of this series, we employed the second-order formalism and the ``symbol'' map to construct a particle path-integral representation of the electron propagator in a background electromagnetic field, suitable for open fermion-line calculations. Its main advantages are the avoidance of long products of Dirac matrices, and its ability to unify whole sets of Feynman diagrams related by permutation of photon legs along the fermion lines. We obtained a Bern-Kosower type master formula for the fermion propagator, dressed with $N$ photons, in terms of the ``$N$-photon kernel,'' where this kernel appears also in ``subleading'' terms involving only $N$-$1$ of the $N$ photons. In this sequel, we focus on the application of the formalism to the calculation of on-shell amplitudes and cross sections. Universal formulas are obtained for the fully polarised matrix elements of the fermion propagator dressed with an arbitrary number of photons, as well as for the corresponding spin-averaged cross sections. A major simplification of the on-shell case is that the subleading terms drop out, but we also pinpoint other, less obvious simplifications. We use integration by parts to achieve manifest transversality of these amplitudes at the integrand level and exploit this property using the spinor helicity technique. We give a simple proof of the vanishing of the matrix element for ``all $+$'' photon helicities in the massless case, and find a novel relation between the scalar and spinor spin-averaged cross sections in the massive case. Testing the formalism on the standard linear Compton scattering process, we find that it reproduces the known results with remarkable efficiency. Further applications and generalisations are pointed out.

8.495955

8.932298

8.709949

8.233537

8.782385

8.533462

9.414427

8.487285

8.36889

9.538539

8.572649

8.053815

8.218248

8.136869

8.205823

8.117719

8.243909

8.311422

8.162458

8.316025

8.304279

2402.13563

Hajime Otsuka

Keiya Ishiguro, Tatsuo Kobayashi, Satsuki Nishimura, Hajime Otsuka

Modular forms and hierarchical Yukawa couplings in heterotic Calabi-Yau compactifications

30 pages

null

EPHOU-24-002, KEK-TH-2601, KYUSHU-HET-281

hep-th hep-ph

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

We study the modular symmetry in heterotic string theory on Calabi-Yau threefolds. In particular, we examine whether moduli-dependent holomorphic Yukawa couplings are described by modular forms in the context of heterotic string theory with standard embedding. We find that $SL(2,\mathbb{Z})$ modular symmetry emerges in asymptotic regions of the Calabi-Yau moduli space. The instanton-corrected holomorphic Yukawa couplings are then given by modular forms under $SL(2,\mathbb{Z})$ or its congruence subgroups such as $\Gamma_0(3)$ and $\Gamma_0(4)$. In addition to the modular symmetry, it turns out that another coupling selection rule controls the structure of holomorphic Yukawa couplings. Furthermore, the coexistence of both the positive and negative modular weights for matter fields leads to a hierarchical structure of matter field K\"ahler metric. Thus, these holomorphic modular forms and the matter field K\"ahler metric play an important role in realizing a hierarchical structure of physical Yukawa couplings.

[ { "created": "Wed, 21 Feb 2024 06:39:56 GMT", "version": "v1" } ]

2024-02-22

[ [ "Ishiguro", "Keiya", "" ], [ "Kobayashi", "Tatsuo", "" ], [ "Nishimura", "Satsuki", "" ], [ "Otsuka", "Hajime", "" ] ]

We study the modular symmetry in heterotic string theory on Calabi-Yau threefolds. In particular, we examine whether moduli-dependent holomorphic Yukawa couplings are described by modular forms in the context of heterotic string theory with standard embedding. We find that $SL(2,\mathbb{Z})$ modular symmetry emerges in asymptotic regions of the Calabi-Yau moduli space. The instanton-corrected holomorphic Yukawa couplings are then given by modular forms under $SL(2,\mathbb{Z})$ or its congruence subgroups such as $\Gamma_0(3)$ and $\Gamma_0(4)$. In addition to the modular symmetry, it turns out that another coupling selection rule controls the structure of holomorphic Yukawa couplings. Furthermore, the coexistence of both the positive and negative modular weights for matter fields leads to a hierarchical structure of matter field K\"ahler metric. Thus, these holomorphic modular forms and the matter field K\"ahler metric play an important role in realizing a hierarchical structure of physical Yukawa couplings.

5.457173

5.333193

5.276017

4.870659

5.397788

5.408674

5.336058

5.143235

4.920648

5.727233

5.155265

5.167882

5.198604

5.057221

5.074581

5.122992

5.149985

5.137836

5.078965

5.209118

5.228162

hep-th/0501241

Tonnis ter Veldhuis

T.E. Clark, S.T. Love, Muneto Nitta, T. ter Veldhuis

AdS_{d+1} --> AdS_d

27 pages

J.Math.Phys.46:102304,2005

10.1063/1.2048307

null

hep-th gr-qc

null

Coset methods are used to construct the action describing the dynamics of the (massive) Nambu-Goldstone scalar degree of freedom associated with the spontaneous breaking of the isometry group of AdS_{d+1} space to that of an AdS_d subspace. The resulting action is an SO(2,d) invariant AdS generalization of the Nambu-Goto action. The vector field theory equivalent action is also determined.

[ { "created": "Sun, 30 Jan 2005 01:22:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "Clark", "T. E.", "" ], [ "Love", "S. T.", "" ], [ "Nitta", "Muneto", "" ], [ "ter Veldhuis", "T.", "" ] ]

Coset methods are used to construct the action describing the dynamics of the (massive) Nambu-Goldstone scalar degree of freedom associated with the spontaneous breaking of the isometry group of AdS_{d+1} space to that of an AdS_d subspace. The resulting action is an SO(2,d) invariant AdS generalization of the Nambu-Goto action. The vector field theory equivalent action is also determined.

7.773448

5.135663

7.643821

5.377033

5.41898

5.206707

5.470379

5.061204

5.87543

8.420666

5.566722

5.812034

6.505255

6.128432

6.26924

6.323787

6.226979

5.927726

6.075719

6.902531

6.230095

1704.03901

Guglielmo Fucci Dr.

Guglielmo Fucci and Klaus Kirsten

Some new results for the one-loop mass correction to the compactified $\lambda\phi^{4}$ theory

22 pages, Latex

J. Math. Phys. 59, 033503 (2018)

10.1063/1.5006657

null

hep-th math-ph math.MP

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

In this work we consider the one-loop effective action of a self-interacting $\lambda\phi^{4}$ field propagating in a $D$ dimensional Euclidean space endowed with $d\leq D$ compact dimensions. The main purpose of this paper is to compute the corrections to the mass of the field due to the presence of the compactified dimensions. Although results for the one-loop correction to the mass of a $\lambda\phi^{4}$ field are very well known for compactified toroidal spaces, where the field obeys periodic boundary conditions, similar results do not appear to be readily available for cases in which the scalar field is subject to Dirichlet and Neumann boundary conditions. We apply the results for the one-loop mass correction to the study of the critical temperature in Ginzburg-Landau models.

[ { "created": "Wed, 12 Apr 2017 19:02:49 GMT", "version": "v1" } ]

2018-03-13

[ [ "Fucci", "Guglielmo", "" ], [ "Kirsten", "Klaus", "" ] ]

In this work we consider the one-loop effective action of a self-interacting $\lambda\phi^{4}$ field propagating in a $D$ dimensional Euclidean space endowed with $d\leq D$ compact dimensions. The main purpose of this paper is to compute the corrections to the mass of the field due to the presence of the compactified dimensions. Although results for the one-loop correction to the mass of a $\lambda\phi^{4}$ field are very well known for compactified toroidal spaces, where the field obeys periodic boundary conditions, similar results do not appear to be readily available for cases in which the scalar field is subject to Dirichlet and Neumann boundary conditions. We apply the results for the one-loop mass correction to the study of the critical temperature in Ginzburg-Landau models.

5.200553

4.903136

5.232554

4.589678

4.898116

5.230915

4.85296

4.758254

4.777886

5.034935

4.75036

4.673684

5.013958

4.813777

4.744193

4.730722

4.738142

4.754446

4.759883

4.866492

4.694625

0710.0959

Choon-Lin Ho

V. R. Khalilov, Choon-Lin Ho

Fermion pair production in planar Coulomb and Aharonov--Bohm potentials

8 pages, no figures. Title changed, some sentences refined, refereces updated

null

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

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

Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac equation which contains a new parameter introduced by Hagen to describe the spin of the spin-1/2 particle. We derive a transcendental equations that implicitly determine the energy spectrum of an electron near the negative-energy continuum boundary and the critical charges for some electron states. Fermion pair production from a vacuum by a strong Coulomb field in the presence of the magnetic flux tube of zero radius is considered. It is shown that the presence of the Ahanorov--Bohm flux tends to stabilize the system.

[ { "created": "Thu, 4 Oct 2007 09:17:29 GMT", "version": "v1" }, { "created": "Tue, 16 Dec 2008 09:20:49 GMT", "version": "v2" } ]

2008-12-16

[ [ "Khalilov", "V. R.", "" ], [ "Ho", "Choon-Lin", "" ] ]

Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac equation which contains a new parameter introduced by Hagen to describe the spin of the spin-1/2 particle. We derive a transcendental equations that implicitly determine the energy spectrum of an electron near the negative-energy continuum boundary and the critical charges for some electron states. Fermion pair production from a vacuum by a strong Coulomb field in the presence of the magnetic flux tube of zero radius is considered. It is shown that the presence of the Ahanorov--Bohm flux tends to stabilize the system.

9.715364

10.841678

10.234972

9.575677

10.558281

10.431848

10.883989

10.276966

9.817716

11.215379

9.421776

9.718362

9.680102

9.48886

9.88686

9.718623

9.785345

9.985027

9.494947

9.848047

9.541799

hep-th/0011287

Bayram Tekin

Vakif K. Onemli, Bayram Tekin

Kaluza-Klein Vortices

9 pages, typos corrected, to appear in JHEP

JHEP 0101 (2001) 034

10.1088/1126-6708/2001/01/034

UFIFT-HEP-00-28, OUTP-00-55-P

hep-th gr-qc

null

We study static vortex type solutions of pure gravity for $D \geq 4+1 $. Non-singular vortex solutions can be obtained by considering periodic Kaluza-Klein monopoles. We also show that away from the center of the vortices the space is described by the gravitational instantons derived from minimal surfaces.

[ { "created": "Thu, 30 Nov 2000 14:08:56 GMT", "version": "v1" }, { "created": "Tue, 12 Dec 2000 10:40:53 GMT", "version": "v2" }, { "created": "Wed, 24 Jan 2001 12:20:59 GMT", "version": "v3" } ]

2009-10-31

[ [ "Onemli", "Vakif K.", "" ], [ "Tekin", "Bayram", "" ] ]

We study static vortex type solutions of pure gravity for $D \geq 4+1 $. Non-singular vortex solutions can be obtained by considering periodic Kaluza-Klein monopoles. We also show that away from the center of the vortices the space is described by the gravitational instantons derived from minimal surfaces.

18.006208

14.015237

15.716755

14.337727

12.633379

16.034443

13.255266

14.229851

12.248055

16.854969

13.366994

14.675468

16.193417

14.64458

15.110304

15.551037

14.789557

14.610815

13.706142

14.942679

14.189964

1003.3771

Manfred Herbst

On higher rank coisotropic A-branes

24 pages; v2: three references added

null

10.1016/j.geomphys.2011.10.003

null

hep-th math.AG math.SG

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

This article is devoted to a world sheet analysis of A-type D-branes in N=(2,2) supersymmetric non-linear sigma models. In addition to the familiar Lagrangian submanifolds with flat connection we reproduce the rank one A-branes of Kapustin and Orlov, which are supported on coisotropic submanifolds. The main focus is however on gauge fields of higher rank and on tachyon profiles on brane-antibrane pairs. This will lead to the notion of a complex of coisotropic A-branes. A particular role is played by the noncommutative geometry on the brane world volume. It ensures that brane-antibrane pairs localize again on coisotropic submanifolds.

[ { "created": "Fri, 19 Mar 2010 11:23:07 GMT", "version": "v1" }, { "created": "Wed, 28 Jul 2010 11:12:43 GMT", "version": "v2" } ]

2015-05-18

[ [ "Herbst", "Manfred", "" ] ]

This article is devoted to a world sheet analysis of A-type D-branes in N=(2,2) supersymmetric non-linear sigma models. In addition to the familiar Lagrangian submanifolds with flat connection we reproduce the rank one A-branes of Kapustin and Orlov, which are supported on coisotropic submanifolds. The main focus is however on gauge fields of higher rank and on tachyon profiles on brane-antibrane pairs. This will lead to the notion of a complex of coisotropic A-branes. A particular role is played by the noncommutative geometry on the brane world volume. It ensures that brane-antibrane pairs localize again on coisotropic submanifolds.

8.358242

7.24647

9.318357

7.154788

7.73812

7.385159

7.487422

7.025788

7.316028

10.569708

7.669751

7.549979

8.838694

7.474304

7.506582

7.43388

7.525961

7.526772

7.353991

8.505818

7.747186

1909.04646

David Svoboda

Shengda Hu, Ruxandra Moraru, David Svoboda

Commuting Pairs, Generalized para-K\"ahler Geometry and Born Geometry

65 pages

null

hep-th math-ph math.MP

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

In this paper, we study the geometries given by commuting pairs of generalized endomorphisms ${\cal A} \in \text{End}(T\oplus T^*)$ with the property that their product defines a generalized metric. There are four types of such commuting pairs: generalized K\"ahler (GK), generalized para-K\"ahler (GpK), generalized chiral and generalized anti-K\"ahler geometries. We show that GpK geometry is equivalent to a pair of para-Hermitian structures and we derive the integrability conditions in terms of these. From the physics point of view, this is the geometry of $2D$ $(2,2)$ twisted supersymmetric sigma models. The generalized chiral structures are equivalent to a pair of tangent bundle product structures that also appear in physics applications of $2D$ sigma models. We show that the case when the two product structures anti-commute corresponds to Born geometry. Lastly, the generalized anti-K\"ahler structures are equivalent to a pair of anti-Hermitian structures (sometimes called Hermitian with Norden metric). The generalized chiral and anti-K\"ahler geometries do not have isotropic eigenbundles and therefore do not admit the usual description of integrability in terms of the Dorfman bracket. We therefore use an alternative definition of integrability in terms of the generalized Bismut connection of the corresponding metric, which for GK and GpK commuting pairs recovers the usual integrability conditions and can also be used to define the integrability of generalized chiral and anti-K\"ahler structures. In addition, it allows for a weakening of the integrability condition, which has various applications in physics.

[ { "created": "Tue, 10 Sep 2019 17:47:05 GMT", "version": "v1" } ]

2019-09-11

[ [ "Hu", "Shengda", "" ], [ "Moraru", "Ruxandra", "" ], [ "Svoboda", "David", "" ] ]

In this paper, we study the geometries given by commuting pairs of generalized endomorphisms ${\cal A} \in \text{End}(T\oplus T^*)$ with the property that their product defines a generalized metric. There are four types of such commuting pairs: generalized K\"ahler (GK), generalized para-K\"ahler (GpK), generalized chiral and generalized anti-K\"ahler geometries. We show that GpK geometry is equivalent to a pair of para-Hermitian structures and we derive the integrability conditions in terms of these. From the physics point of view, this is the geometry of $2D$ $(2,2)$ twisted supersymmetric sigma models. The generalized chiral structures are equivalent to a pair of tangent bundle product structures that also appear in physics applications of $2D$ sigma models. We show that the case when the two product structures anti-commute corresponds to Born geometry. Lastly, the generalized anti-K\"ahler structures are equivalent to a pair of anti-Hermitian structures (sometimes called Hermitian with Norden metric). The generalized chiral and anti-K\"ahler geometries do not have isotropic eigenbundles and therefore do not admit the usual description of integrability in terms of the Dorfman bracket. We therefore use an alternative definition of integrability in terms of the generalized Bismut connection of the corresponding metric, which for GK and GpK commuting pairs recovers the usual integrability conditions and can also be used to define the integrability of generalized chiral and anti-K\"ahler structures. In addition, it allows for a weakening of the integrability condition, which has various applications in physics.

6.25098

6.410436

7.159356

6.209858

6.703402

6.885238

6.396279

6.575118

6.334923

7.986504

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6.161846

6.232132

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6.275748

6.076174

6.464166

6.187755

hep-th/0409149

Edward Witten

Chris Beasley and Edward Witten

New Instanton Effects In Supersymmetric QCD

40 pp

JHEP 0501:056,2005

10.1088/1126-6708/2005/01/056

null

hep-th

null

In supersymmetric QCD with SU(N_c) gauge group and N_f flavors, it is known that instantons generate a superpotential if N_f=N_c-1 and deform the moduli space of vacua if N_f=N_c. But the role of instantons has been unclear for N_f>N_c. In this paper, we demonstrate that for N_f>N_c, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(N_f-N_c)+4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for N_f=N_c and N_f=N_c-1. For N_f=N_c, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.

[ { "created": "Tue, 14 Sep 2004 19:17:10 GMT", "version": "v1" } ]

2010-04-07

[ [ "Beasley", "Chris", "" ], [ "Witten", "Edward", "" ] ]

In supersymmetric QCD with SU(N_c) gauge group and N_f flavors, it is known that instantons generate a superpotential if N_f=N_c-1 and deform the moduli space of vacua if N_f=N_c. But the role of instantons has been unclear for N_f>N_c. In this paper, we demonstrate that for N_f>N_c, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(N_f-N_c)+4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for N_f=N_c and N_f=N_c-1. For N_f=N_c, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.

5.765509

5.470406

5.855065

5.713674

6.14131

5.596034

5.265127

5.50423

5.633111

6.113432

5.426372

5.51545

5.769426

5.427936

5.384596

5.398419

5.271881

5.486195

5.419928

5.68114

5.301338

hep-th/0410050

Vladimir Karmanov

V.A. Karmanov and Dae Sung Hwang

Higher Fock sectors in Wick-Cutkosky model

4 pages, 2 figures, to appear in the proceedings of Light Cone 2004, Amsterdam, August 16-20, 2004

Few Body Syst. 36 (2005) 155-159

10.1007/s00601-004-0093-8

null

hep-th

null

In the Wick-Cutkosky model we analyze nonperturbatively, in light-front dynamics, the contributions of two-body and higher Fock sectors to the total norm and electromagnetic form factor. It turns out that two- and three-body sectors always dominate. For maximal value of coupling constant $\alpha=2\pi$, corresponding to zero bound state mass M=0, they contribute 90% to the norm. With decrease of $\alpha$ the two-body contribution increases up to 100%. The form factor asymptotic is always determined by two-body sector.

[ { "created": "Tue, 5 Oct 2004 15:45:59 GMT", "version": "v1" } ]

2009-11-10

[ [ "Karmanov", "V. A.", "" ], [ "Hwang", "Dae Sung", "" ] ]

In the Wick-Cutkosky model we analyze nonperturbatively, in light-front dynamics, the contributions of two-body and higher Fock sectors to the total norm and electromagnetic form factor. It turns out that two- and three-body sectors always dominate. For maximal value of coupling constant $\alpha=2\pi$, corresponding to zero bound state mass M=0, they contribute 90% to the norm. With decrease of $\alpha$ the two-body contribution increases up to 100%. The form factor asymptotic is always determined by two-body sector.

11.622696

9.871053

8.298193

8.73238

8.580873

9.193716

8.05173

8.529304

8.388327

9.661689

8.796904

8.842996

9.173539

8.805507

8.970457

9.169035

9.177267

8.774449

9.081169

9.308131

8.956017

0904.2972

Chao-Jun Feng

Chao-Jun Feng, Xin-Zhou Li

Scalar Perturbation and Stability of Ricci Dark Energy

6 pages, 10 figures

Phys.Lett.B680:184-187,2009

10.1016/j.physletb.2009.08.042

null

hep-th astro-ph.CO gr-qc

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

The Ricci dark energy (RDE) proposed to explain the accelerating expansion of the universe requires its parameter $\alpha < 1$, whose value will determine the behavior of RDE. In this Letter, we study the scalar perturbation of RDE with and without matter in the universe, and we find that in both cases, the perturbation is stable if $\alpha> 1/3$, which gives a lower bound for $\alpha$ theoretically.

[ { "created": "Mon, 20 Apr 2009 09:32:06 GMT", "version": "v1" } ]

2009-09-10

[ [ "Feng", "Chao-Jun", "" ], [ "Li", "Xin-Zhou", "" ] ]

The Ricci dark energy (RDE) proposed to explain the accelerating expansion of the universe requires its parameter $\alpha < 1$, whose value will determine the behavior of RDE. In this Letter, we study the scalar perturbation of RDE with and without matter in the universe, and we find that in both cases, the perturbation is stable if $\alpha> 1/3$, which gives a lower bound for $\alpha$ theoretically.

8.3476

8.476747

6.987445

7.061267

7.259799

7.892327

7.561729

6.949953

7.192083

7.162844

7.408628

7.677466

7.389835

7.304426

7.450399

7.34225

7.578751

7.405896

7.311267

7.598299

7.447556

2112.04969

Anindya Dey

Line Defects in Three Dimensional Mirror Symmetry beyond ADE quivers

30 pages + appendices, many figures. The color-coding of the quiver diagrams is important

null

hep-th

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

Understanding the map of line defects in a Quantum Field Theory under a given duality is generically a difficult problem. This paper is the second in a series which aims to address this question in the context of 3d $\mathcal{N}=4$ mirror symmetry. A general prescription for constructing vortex defects and their mirror maps in quiver gauge theories beyond the $A$-type was presented by the author in an earlier paper [arxiv:2103.01243], where specific examples involving $D$-type and affine $D$-type quivers were discussed. In this paper, we apply the aforementioned prescription to construct a family of vortex defects as coupled 3d-1d systems in quiver gauge theories beyond the $ADE$-type, and study their mirror maps. Specifically, we focus on a class of quiver gauge theories involving unitary gauge nodes with edge multiplicity greater than 1, i.e. two gauge nodes in these theories may be connected by multiple bifundamental hypermultiplets. Quiver gauge theories of this type arise as 3d mirrors of certain Argyres-Douglas theories compactified on a circle. Some of these quiver gauge theories are known to have a pair of 3d mirrors, which are themselves related by an IR duality, discussed recently in [arxiv:2109.07493]. For a concrete example where a pair of 3d mirrors do exist, we study how the vortex defects constructed using our prescription map to Wilson defects in each mirror theory.

[ { "created": "Thu, 9 Dec 2021 15:01:21 GMT", "version": "v1" } ]

2021-12-10

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

Understanding the map of line defects in a Quantum Field Theory under a given duality is generically a difficult problem. This paper is the second in a series which aims to address this question in the context of 3d $\mathcal{N}=4$ mirror symmetry. A general prescription for constructing vortex defects and their mirror maps in quiver gauge theories beyond the $A$-type was presented by the author in an earlier paper [arxiv:2103.01243], where specific examples involving $D$-type and affine $D$-type quivers were discussed. In this paper, we apply the aforementioned prescription to construct a family of vortex defects as coupled 3d-1d systems in quiver gauge theories beyond the $ADE$-type, and study their mirror maps. Specifically, we focus on a class of quiver gauge theories involving unitary gauge nodes with edge multiplicity greater than 1, i.e. two gauge nodes in these theories may be connected by multiple bifundamental hypermultiplets. Quiver gauge theories of this type arise as 3d mirrors of certain Argyres-Douglas theories compactified on a circle. Some of these quiver gauge theories are known to have a pair of 3d mirrors, which are themselves related by an IR duality, discussed recently in [arxiv:2109.07493]. For a concrete example where a pair of 3d mirrors do exist, we study how the vortex defects constructed using our prescription map to Wilson defects in each mirror theory.

6.883573

6.448727

7.726759

6.728939

6.744802

6.669441

6.329206

6.428984

6.405367

8.353407

6.72139

6.62354

7.036977

6.642129

6.701509

6.594442

6.756078

6.516101

6.544185

6.978318

6.658533

2312.13337

Ida G. Zadeh

Benjamin A. Burrington and Ida G. Zadeh

Conformal Perturbation Theory for $n$-Point Functions: Structure Constant Deformation

34 pp + appendices, 3 figures

null

MITP-23-082

hep-th

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

We consider conformal perturbation theory for $n$-point functions on the sphere in general 2D CFTs to first order in coupling constant. We regulate perturbation integrals using canonical hard disk excisions of size $\epsilon$ around the fixed operator insertions, and identify the full set of counter terms which are sufficient to regulate all such integrated $n$-point functions. We further explore the integrated 4-point function which computes changes to the structure constants of the theory. Using an $sl(2)$ map, the three fixed locations of operators are mapped to $0$, $1$, and $\infty$. We show that approximating the mapped excised regions to leading order in $\epsilon$ does not lead to the same perturbative shift to the structure constant as the exact in $\epsilon$ region. We explicitly compute the correction back to the exact in $\epsilon$ region of integration in terms of the CFT data. We consider the compact boson, and show that one must use the exact in $\epsilon$ region to obtain agreement with the exact results for structure constants in this theory.

[ { "created": "Wed, 20 Dec 2023 19:00:00 GMT", "version": "v1" } ]

2023-12-22

[ [ "Burrington", "Benjamin A.", "" ], [ "Zadeh", "Ida G.", "" ] ]

We consider conformal perturbation theory for $n$-point functions on the sphere in general 2D CFTs to first order in coupling constant. We regulate perturbation integrals using canonical hard disk excisions of size $\epsilon$ around the fixed operator insertions, and identify the full set of counter terms which are sufficient to regulate all such integrated $n$-point functions. We further explore the integrated 4-point function which computes changes to the structure constants of the theory. Using an $sl(2)$ map, the three fixed locations of operators are mapped to $0$, $1$, and $\infty$. We show that approximating the mapped excised regions to leading order in $\epsilon$ does not lead to the same perturbative shift to the structure constant as the exact in $\epsilon$ region. We explicitly compute the correction back to the exact in $\epsilon$ region of integration in terms of the CFT data. We consider the compact boson, and show that one must use the exact in $\epsilon$ region to obtain agreement with the exact results for structure constants in this theory.

10.756087

12.287774

12.409179

10.981088

11.053524

11.601772

11.469987

11.38268

10.763319

13.247706

10.969568

10.611975

11.21348

10.761903

10.569554

10.860847

10.714046

10.56099

10.611647

11.346189

10.680131

1507.07084

\"Ozcan Sert

Holographic Superconductors with the General $RF^2$ type Couplings

12 pages, 14 figures

Mod. Phys. Lett. A, Vol. 31, No. 15 (2016) 1650091

10.1142/S0217732316500917

null

hep-th gr-qc

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

We explore the effects of the general non-minimally coupled $RF^2$-type couplings on the holographic s-wave superconductors numerically in the Schwarzschild-AdS background. We calculate the condensation and conductivity of the model for the coupling parameters $a_1$ and $\beta$. We obtain that the bigger deviations of the parameter $a_1$ from the minimal case lead to the larger deviations of the gap frequency from the universal value $\omega_g/T_c \approx 8$. Moreover the smaller $\beta $ and $a_1$ cause to gradually stronger and narrower coherence peak.

[ { "created": "Sat, 25 Jul 2015 09:30:47 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2016 18:58:24 GMT", "version": "v2" }, { "created": "Tue, 10 May 2016 15:09:06 GMT", "version": "v3" } ]

2016-05-11

[ [ "Sert", "Özcan", "" ] ]

We explore the effects of the general non-minimally coupled $RF^2$-type couplings on the holographic s-wave superconductors numerically in the Schwarzschild-AdS background. We calculate the condensation and conductivity of the model for the coupling parameters $a_1$ and $\beta$. We obtain that the bigger deviations of the parameter $a_1$ from the minimal case lead to the larger deviations of the gap frequency from the universal value $\omega_g/T_c \approx 8$. Moreover the smaller $\beta $ and $a_1$ cause to gradually stronger and narrower coherence peak.

10.454097

8.196841

10.27153

7.749253

8.218243

8.106304

9.243515

8.292972

8.25958

10.885889

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10.21999

9.466507

9.196059

8.86895

9.249975

9.084615

9.211714

10.495255

9.168729

hep-th/0502026

Sergei V. Ketov

T. Hatanaka, S.V. Ketov, Y. Kobayashi and S. Sasaki

Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories

20 pages, LaTeX; small changes, additions and references added

Nucl.Phys. B716 (2005) 88-104

10.1016/j.nuclphysb.2005.03.009

null

hep-th

null

We studied a nilpotent Non-Anti-Commutative (NAC) deformation of the effective superpotentials in supersymmetric gauge theories, caused by a constant self-dual graviphoton background. We derived the simple non-perturbative formula applicable to any NAC (star) deformed chiral superpotential. It is remarkable that the deformed superpotential is always `Lorentz'-invariant. As an application, we considered the NAC deformation of the pure super-Yang-Mills theory whose IR physics is known to be described by the Veneziano-Yankielowicz superpotential (in the undeformed case). The unbroken gauge invariance of the deformed effective action gives rise to severe restrictions on its form. We found a non-vanishing gluino condensate in vacuum but no further dynamical supersymmetry breaking in the deformed theory.

[ { "created": "Wed, 2 Feb 2005 13:49:44 GMT", "version": "v1" }, { "created": "Tue, 8 Feb 2005 13:43:47 GMT", "version": "v2" } ]

2010-04-05

[ [ "Hatanaka", "T.", "" ], [ "Ketov", "S. V.", "" ], [ "Kobayashi", "Y.", "" ], [ "Sasaki", "S.", "" ] ]

We studied a nilpotent Non-Anti-Commutative (NAC) deformation of the effective superpotentials in supersymmetric gauge theories, caused by a constant self-dual graviphoton background. We derived the simple non-perturbative formula applicable to any NAC (star) deformed chiral superpotential. It is remarkable that the deformed superpotential is always `Lorentz'-invariant. As an application, we considered the NAC deformation of the pure super-Yang-Mills theory whose IR physics is known to be described by the Veneziano-Yankielowicz superpotential (in the undeformed case). The unbroken gauge invariance of the deformed effective action gives rise to severe restrictions on its form. We found a non-vanishing gluino condensate in vacuum but no further dynamical supersymmetry breaking in the deformed theory.

8.368443

7.088978

8.959928

7.390837

7.145567

7.526971

7.35674

7.461259

7.717296

9.218147

7.357261

7.675969

8.184997

7.900495

7.947975

7.82502

7.868796

7.716135

7.739616

8.376917

7.923672

2401.04167

Jorge Russo

Jorge G. Russo and Paul K. Townsend

Born Again

25 pages. References added

SciPost Phys. 16, 124 (2024)

null

hep-th

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

Born's original 1933 theory of nonlinear electrodynamics (in contrast to the later Born-Infeld theory) is acausal for strong fields. We explore the issue of strong-field causality violation in families of theories containing Born and/or Born-Infeld, and many variants that have been previously proposed in contexts that include cosmology and black hole physics. Many of these variants are acausal and hence unphysical. A notable exception is the modified Born-Infeld theory with ModMax as its conformal weak-field limit.

[ { "created": "Mon, 8 Jan 2024 19:00:02 GMT", "version": "v1" }, { "created": "Wed, 22 May 2024 17:44:47 GMT", "version": "v2" } ]

2024-05-24

[ [ "Russo", "Jorge G.", "" ], [ "Townsend", "Paul K.", "" ] ]

Born's original 1933 theory of nonlinear electrodynamics (in contrast to the later Born-Infeld theory) is acausal for strong fields. We explore the issue of strong-field causality violation in families of theories containing Born and/or Born-Infeld, and many variants that have been previously proposed in contexts that include cosmology and black hole physics. Many of these variants are acausal and hence unphysical. A notable exception is the modified Born-Infeld theory with ModMax as its conformal weak-field limit.

15.450565

15.208463

14.214944

12.457976

15.163325

13.302608

13.304221

12.912315

13.249171

14.216446

12.384632

12.120669

13.017279

12.313593

12.705496

12.448504

12.666039

12.77013

12.714462

13.425765

12.883234

1501.02453

Davoud Kamani

Resistance of a Rotating-Moving Brane with Background Fields Against Collapse

11 pages, Latex, No figure

Annals of Physics 354 (2015) 394-400

10.1016/j.aop.2015.01.008

null

hep-th

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

Using the boundary state formalism we investigate the effect of tachyon condensation process on a rotating and moving D$p$-brane with various background fields in the bosonic string theory. The rotation and motion are inside the brane volume. We demonstrate that some specific rotations and/or motions can preserve the brane from instability and collapse.

[ { "created": "Sun, 11 Jan 2015 12:37:47 GMT", "version": "v1" } ]

2016-08-08

[ [ "Kamani", "Davoud", "" ] ]

Using the boundary state formalism we investigate the effect of tachyon condensation process on a rotating and moving D$p$-brane with various background fields in the bosonic string theory. The rotation and motion are inside the brane volume. We demonstrate that some specific rotations and/or motions can preserve the brane from instability and collapse.

16.228136

7.328411

14.698047

9.969648

9.242438

8.656519

7.996513

9.2223

8.652033

16.611834

9.829361

10.900807

13.599175

10.854817

11.83931

11.230598

10.987623

11.384056

11.365669

13.356522

11.891572

0905.2393

Woojoo Sim

Jaemo Park and Woojoo Sim

Supersymmetric Heterotic Action out of M5 Brane

27 pages

JHEP 0908:047,2009

10.1088/1126-6708/2009/08/047

SU-ITP-08/36

hep-th

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

Generalizing the work by Cherkis and Schwarz [1], we carry out the double dimensional reduction of supersymmetric M5 brane on K3 to obtain the supersymmetric action of heterotic string in 7-dimensional flat space-time. Motivated by this result, we propose the supersymmetric heterotic action in 10-dimensional flat space-time where the current algebra is realized in a novel way. We explicitly verify the kappa-symmetry of the proposed action.

[ { "created": "Thu, 14 May 2009 18:33:21 GMT", "version": "v1" } ]

2009-08-17

[ [ "Park", "Jaemo", "" ], [ "Sim", "Woojoo", "" ] ]

Generalizing the work by Cherkis and Schwarz [1], we carry out the double dimensional reduction of supersymmetric M5 brane on K3 to obtain the supersymmetric action of heterotic string in 7-dimensional flat space-time. Motivated by this result, we propose the supersymmetric heterotic action in 10-dimensional flat space-time where the current algebra is realized in a novel way. We explicitly verify the kappa-symmetry of the proposed action.

9.173445

6.73032

10.989154

7.01175

7.211381

7.046876

6.702681

6.820316

7.070141

10.32477

7.164176

7.789023

8.997797

7.680348

8.374263

7.683112

7.90261

7.733386

8.114063

8.86977

7.600929

1808.09459

Christopher Verhaaren

John Terning and Christopher B. Verhaaren

Dark Monopoles and SL(2,Z) Duality

15 pages; Updated to match published version

JHEP 12 (2018) 123

10.1007/JHEP12(2018)123

null

hep-th hep-ph

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

We explore kinetic mixing between two Abelian gauge theories that have both electric and magnetic charges. When one of the photons becomes massive, novel effects arise in the low-energy effective theory, including the failure of Dirac charge quantization as particles from one sector obtain parametrically small couplings to the photon of the other. We maintain a manifest SL(2,Z) duality throughout our analysis, which is the diagonal subgroup of the dualities of the two un-mixed gauge theories.

[ { "created": "Tue, 28 Aug 2018 18:00:08 GMT", "version": "v1" }, { "created": "Fri, 21 Dec 2018 21:44:07 GMT", "version": "v2" } ]

2018-12-27

[ [ "Terning", "John", "" ], [ "Verhaaren", "Christopher B.", "" ] ]

We explore kinetic mixing between two Abelian gauge theories that have both electric and magnetic charges. When one of the photons becomes massive, novel effects arise in the low-energy effective theory, including the failure of Dirac charge quantization as particles from one sector obtain parametrically small couplings to the photon of the other. We maintain a manifest SL(2,Z) duality throughout our analysis, which is the diagonal subgroup of the dualities of the two un-mixed gauge theories.

12.607572

14.587709

12.356516

11.430002

12.692207

10.5092

13.110884

10.661533

11.141338

13.321987

11.755237

11.022069

12.376302

11.782473

12.076798

11.102137

11.489272

11.864552

11.750994

12.354424

10.75191

hep-th/9904210

Matthias Klein

Confining N=1 SUSY gauge theories from Seiberg duality

8 pages, Latex, to appear in the proceedings of the Trieste Meeting of the TMR Network on Physics beyond the SM (Feb 24-27, 1999)

null

hep-th

null

In this talk I review and generalize an idea of Seiberg that an N=1 supersymmetric gauge theory shows confinement without breaking of chiral symmetry when the gauge symmetry of its magnetic dual is completely broken by the Higgs effect. It is shown how the confining spectrum of a supersymmetric gauge theory can easily be derived when a magnetic dual is known and this method is applied to many models containing fields in second rank tensor representations and an appropriate tree-level superpotential.

[ { "created": "Thu, 29 Apr 1999 19:43:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Klein", "Matthias", "" ] ]

In this talk I review and generalize an idea of Seiberg that an N=1 supersymmetric gauge theory shows confinement without breaking of chiral symmetry when the gauge symmetry of its magnetic dual is completely broken by the Higgs effect. It is shown how the confining spectrum of a supersymmetric gauge theory can easily be derived when a magnetic dual is known and this method is applied to many models containing fields in second rank tensor representations and an appropriate tree-level superpotential.

13.017982

10.740454

14.606727

10.612175

10.074724

8.723817

8.764898

9.803303

10.185336

13.836705

9.874603

11.420362

12.24735

11.284312

11.663366

10.965215

11.329203

11.323442

11.496029

12.295018

11.337341