LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2111.04591

Zimo Sun

A note on the representations of $\text{SO}(1,d+1)$

47+16 pages, 10 figures; references added, acknowledgement corrected

null

hep-th

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

$\text{SO}(1, d+1)$ is the isometry group of $(d+1)$-dimensional de Sitter spacetime $\text{dS}_{d+1}$ and the conformal group of $\mathbb{R}^{d}$. This note gives a pedagogical introduction to the representation theory of $\text{SO}(1, d+1)$, from the perspective of de Sitter quantum field theory and using tools from conformal field theory. Topics include (1) the construction and classification of all unitary irreducible representations (UIRs) of $\text{SO}(1,2)$ and $\text{SL}(2,\mathbb R)$, (2) the construction and classification of all UIRs of $\text{SO}(1,d+1)$ that describe integer-spin fields in $\text{dS}_{d+1}$, (3) a physical framework for understanding these UIRs, (4) the definition and derivation of Harish-Chandra group characters of $\text{SO}(1,d+1)$, and (5) a comparison between UIRs of $\text{SO}(1, d+1)$ and $\text{SO}(2,d)$.

[ { "created": "Mon, 8 Nov 2021 15:56:36 GMT", "version": "v1" }, { "created": "Wed, 17 Nov 2021 15:57:47 GMT", "version": "v2" } ]

2021-11-18

[ [ "Sun", "Zimo", "" ] ]

$\text{SO}(1, d+1)$ is the isometry group of $(d+1)$-dimensional de Sitter spacetime $\text{dS}_{d+1}$ and the conformal group of $\mathbb{R}^{d}$. This note gives a pedagogical introduction to the representation theory of $\text{SO}(1, d+1)$, from the perspective of de Sitter quantum field theory and using tools from conformal field theory. Topics include (1) the construction and classification of all unitary irreducible representations (UIRs) of $\text{SO}(1,2)$ and $\text{SL}(2,\mathbb R)$, (2) the construction and classification of all UIRs of $\text{SO}(1,d+1)$ that describe integer-spin fields in $\text{dS}_{d+1}$, (3) a physical framework for understanding these UIRs, (4) the definition and derivation of Harish-Chandra group characters of $\text{SO}(1,d+1)$, and (5) a comparison between UIRs of $\text{SO}(1, d+1)$ and $\text{SO}(2,d)$.

3.191431

3.071059

3.143451

2.8974

3.027628

3.091913

3.10371

2.99366

3.001379

3.214297

2.984329

2.963393

3.048851

2.983608

2.98311

2.930207

2.996213

2.950127

3.035198

3.12125

2.979697

hep-th/0506167

Sugumi Kanno

Sugumi Kanno, Jiro Soda, David Wands

Braneworld Flux Inflation

11 pages, 6 figures, references added

JCAP 0508 (2005) 002

10.1088/1475-7516/2005/08/002

KUNS-1976

hep-th astro-ph gr-qc

null

We propose a geometrical model of brane inflation where inflation is driven by the flux generated by opposing brane charges and terminated by the collision of the branes, with charge annihilation. We assume the collision process is completely inelastic and the kinetic energy is transformed into the thermal energy after collision. Thereafter the two branes coalesce together and behave as a single brane universe with zero effective cosmological constant. In the Einstein frame, the 4-dimensional effective theory changes abruptly at the collision point. Therefore, our inflationary model is necessarily 5-dimensional in nature. As the collision process has no singularity in 5-dimensional gravity, we can follow the evolution of fluctuations during the whole history of the universe. It turns out that the radion field fluctuations have a steeply tilted, red spectrum, while the primordial gravitational waves have a flat spectrum. Instead, primordial density perturbations could be generated by a curvaton mechanism.

[ { "created": "Tue, 21 Jun 2005 02:13:04 GMT", "version": "v1" }, { "created": "Thu, 30 Jun 2005 03:24:21 GMT", "version": "v2" } ]

2009-11-11

[ [ "Kanno", "Sugumi", "" ], [ "Soda", "Jiro", "" ], [ "Wands", "David", "" ] ]

We propose a geometrical model of brane inflation where inflation is driven by the flux generated by opposing brane charges and terminated by the collision of the branes, with charge annihilation. We assume the collision process is completely inelastic and the kinetic energy is transformed into the thermal energy after collision. Thereafter the two branes coalesce together and behave as a single brane universe with zero effective cosmological constant. In the Einstein frame, the 4-dimensional effective theory changes abruptly at the collision point. Therefore, our inflationary model is necessarily 5-dimensional in nature. As the collision process has no singularity in 5-dimensional gravity, we can follow the evolution of fluctuations during the whole history of the universe. It turns out that the radion field fluctuations have a steeply tilted, red spectrum, while the primordial gravitational waves have a flat spectrum. Instead, primordial density perturbations could be generated by a curvaton mechanism.

10.630166

10.931206

11.450855

10.698613

10.947426

10.995394

11.835552

10.59512

10.556708

12.564641

10.057147

10.014423

10.914945

10.551223

10.657569

10.458097

10.082343

10.575089

10.493389

11.551111

10.403234

hep-th/9306097

Shin'ichi Nojiri

Shin'ich Nojiri and Ichiro Oda

Black Hole Physics from Two Dimensional Dilaton Gravity based on $SL(2,R)/U(1)$ Coset Model

NDA-FP-12/93, OCHA-PP-33, INS-Rep.987

Phys.Rev. D49 (1994) 4066-4077

10.1103/PhysRevD.49.4066

null

hep-th

null

We analyze quantum two dimensional dilaton gravity model, which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed by $(1,1)$ operator. We show that the curvature singularity does not appear when the central charge $c_{\rm matter}$ of the matter fields is given by $22<c_{\rm matter}<24$. When $22<c_{\rm matter}<24$, the matter shock waves, whose energy momentum tensors are given by $T_{\rm matter} \propto \delta(x^+ - x^+_0)$, create a kind of wormholes, {\it i.e.,} causally disconnected regions. Most of the quantum informations in past null infinity are lost in future null infinity but the lost informations would be carried by the wormholes. We also discuss about the problem of defining the mass of quantum black holes. On the basis of the argument by Regge and Teitelboim, we show that the ADM mass measured by the observer who lives in one of asymptotically flat regions is finite and does not vanish in general. On the other hand, the Bondi mass is ill-defined in this model. Instead of the Bondi mass, we consider the mass measured by observers who live in an asymptotically flat region at first. A class of the observers finds the mass of the black hole created by a shock wave changes as the observers' proper time goes by, i.e. they observe the Hawking radiation. The measured mass vanishes after the infinite proper time and the black hole evaporates completely. Therefore the total Hawking radiation is positive even when $N<24$.

[ { "created": "Mon, 21 Jun 1993 06:19:45 GMT", "version": "v1" } ]

2009-10-22

[ [ "Nojiri", "Shin'ich", "" ], [ "Oda", "Ichiro", "" ] ]

We analyze quantum two dimensional dilaton gravity model, which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed by $(1,1)$ operator. We show that the curvature singularity does not appear when the central charge $c_{\rm matter}$ of the matter fields is given by $22<c_{\rm matter}<24$. When $22<c_{\rm matter}<24$, the matter shock waves, whose energy momentum tensors are given by $T_{\rm matter} \propto \delta(x^+ - x^+_0)$, create a kind of wormholes, {\it i.e.,} causally disconnected regions. Most of the quantum informations in past null infinity are lost in future null infinity but the lost informations would be carried by the wormholes. We also discuss about the problem of defining the mass of quantum black holes. On the basis of the argument by Regge and Teitelboim, we show that the ADM mass measured by the observer who lives in one of asymptotically flat regions is finite and does not vanish in general. On the other hand, the Bondi mass is ill-defined in this model. Instead of the Bondi mass, we consider the mass measured by observers who live in an asymptotically flat region at first. A class of the observers finds the mass of the black hole created by a shock wave changes as the observers' proper time goes by, i.e. they observe the Hawking radiation. The measured mass vanishes after the infinite proper time and the black hole evaporates completely. Therefore the total Hawking radiation is positive even when $N<24$.

6.63358

6.981932

7.221116

6.676635

7.399685

7.195556

7.080816

6.760581

6.886148

7.960851

6.489849

6.690687

6.730791

6.616598

6.723582

6.785062

6.693485

6.699721

6.58672

6.740365

6.578927

hep-th/0502201

Antonio Soares de Castro

Antonio S. de Castro

Klein-Gordon particles in mixed vector-scalar inversely linear potentials

17 pages, 5 figures

Phys.Lett. A338 (2005) 81-89

10.1016/j.physleta.2005.02.027

null

hep-th quant-ph

null

The problem of a spinless particle subject to a general mixing of vector and scalar inversely linear potentials in a two-dimensional world is analyzed. Exact bounded solutions are found in closed form by imposing boundary conditions on the eigenfunctions which ensure that the effective Hamiltonian is Hermitian for all the points of the space. The nonrelativistic limit of our results adds a new support to the conclusion that even-parity solutions to the nonrelativistic one-dimensional hydrogen atom do not exist.

[ { "created": "Tue, 22 Feb 2005 19:57:18 GMT", "version": "v1" }, { "created": "Wed, 23 Feb 2005 17:28:05 GMT", "version": "v2" } ]

2015-06-26

[ [ "de Castro", "Antonio S.", "" ] ]

The problem of a spinless particle subject to a general mixing of vector and scalar inversely linear potentials in a two-dimensional world is analyzed. Exact bounded solutions are found in closed form by imposing boundary conditions on the eigenfunctions which ensure that the effective Hamiltonian is Hermitian for all the points of the space. The nonrelativistic limit of our results adds a new support to the conclusion that even-parity solutions to the nonrelativistic one-dimensional hydrogen atom do not exist.

11.911551

9.925071

12.228657

10.827079

9.595465

9.623014

9.437594

9.379181

10.218175

13.494215

9.370138

10.982637

11.549002

10.433603

10.854072

10.269514

10.38786

10.156133

10.575072

12.056751

10.537635

2402.14512

Pavel Slepov

Irina Ya. Aref'eva, Ali Hajilou, Pavel Slepov and Marina Usova

Running Coupling and Beta-Functions for HQCD with Heavy and Light Quarks: Isotropic case

A new solution is added; 87 pages, 62 figures, 3 tables

null

hep-th

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

We consider running coupling constant and beta-function in holographic models supported by Einstein-dilaton-Maxwell action for heavy and light quarks. To obtain the dependence of the running coupling constant $\alpha$ on temperature and chemical potential we impose boundary conditions on the dilaton field that depend on the position of the horizon. We use two types of boundary conditions: a simple boundary condition with the dilaton field vanishing at the horizon, and a boundary condition that ensures agreement with lattice calculations of string tension between quarks at zero chemical potential. The location of the first-order phase transitions in $(T,\mu)$-plane does not depend on the dilaton boundary conditions for light and heavy quarks. At these phase transitions, the functions $\alpha$ and $\beta$ undergo jumps depending on temperature and chemical potential. We also show that for the second boundary conditions the running coupling decreases with increasing temperature and the dependence on temperature and chemical potential for both light and heavy quarks are actually specified by functions of one variable, demonstrating in this sense auto-model behavior.

[ { "created": "Thu, 22 Feb 2024 13:03:01 GMT", "version": "v1" }, { "created": "Tue, 7 May 2024 17:05:02 GMT", "version": "v2" } ]

2024-05-08

[ [ "Aref'eva", "Irina Ya.", "" ], [ "Hajilou", "Ali", "" ], [ "Slepov", "Pavel", "" ], [ "Usova", "Marina", "" ] ]

We consider running coupling constant and beta-function in holographic models supported by Einstein-dilaton-Maxwell action for heavy and light quarks. To obtain the dependence of the running coupling constant $\alpha$ on temperature and chemical potential we impose boundary conditions on the dilaton field that depend on the position of the horizon. We use two types of boundary conditions: a simple boundary condition with the dilaton field vanishing at the horizon, and a boundary condition that ensures agreement with lattice calculations of string tension between quarks at zero chemical potential. The location of the first-order phase transitions in $(T,\mu)$-plane does not depend on the dilaton boundary conditions for light and heavy quarks. At these phase transitions, the functions $\alpha$ and $\beta$ undergo jumps depending on temperature and chemical potential. We also show that for the second boundary conditions the running coupling decreases with increasing temperature and the dependence on temperature and chemical potential for both light and heavy quarks are actually specified by functions of one variable, demonstrating in this sense auto-model behavior.

9.488227

8.95736

9.534846

8.168885

8.931376

8.276305

8.944039

8.646276

8.056483

9.606651

8.423824

8.470425

8.970401

8.520846

8.367984

8.626226

8.143674

8.629737

8.561766

8.842509

8.417484

2104.07030

Sam van Leuven

Vishnu Jejjala, Yang Lei, Sam van Leuven, Wei Li

$SL(3,\mathbb{Z})$ Modularity and New Cardy Limits of the $\mathcal{N}=4$ Superconformal Index

63 pages + appendices. v2: refs added, various corrections and improvements, discussion section rewritten. v3: corrected defn normalized partition function, added tau=sigma limit modular property in section 3.5 + its physical interpretation in section 5.2. (published version)

null

10.1007/JHEP11(2021)047

null

hep-th

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

The entropy of $1/16$-th BPS AdS$_5$ black holes can be microscopically accounted for by the superconformal index of the $\mathcal{N}=4$ super-Yang-Mills theory. One way to compute this is through a Cardy-like limit of a formula for the index obtained in [1] using the "$S$-transformation" of the elliptic $\Gamma$ function. In this paper, we derive more general $SL(3,\mathbb{Z})$ modular properties of the elliptic $\Gamma$ function. We then use these properties to obtain a three integer parameter family of generalized Cardy-like limits of the $\mathcal{N}=4$ superconformal index. From these limits, we obtain entropy formulae that have a similar form as that of the original AdS$_5$ black hole, up to an overall rescaling of the entropy. We interpret this both on the field theory and the gravitational side. Finally, we comment on how our work suggests a generalization of the Farey tail to four dimensions.

[ { "created": "Wed, 14 Apr 2021 18:00:00 GMT", "version": "v1" }, { "created": "Mon, 5 Jul 2021 16:03:45 GMT", "version": "v2" }, { "created": "Wed, 29 Sep 2021 15:56:30 GMT", "version": "v3" } ]

2021-11-24

[ [ "Jejjala", "Vishnu", "" ], [ "Lei", "Yang", "" ], [ "van Leuven", "Sam", "" ], [ "Li", "Wei", "" ] ]

The entropy of $1/16$-th BPS AdS$_5$ black holes can be microscopically accounted for by the superconformal index of the $\mathcal{N}=4$ super-Yang-Mills theory. One way to compute this is through a Cardy-like limit of a formula for the index obtained in [1] using the "$S$-transformation" of the elliptic $\Gamma$ function. In this paper, we derive more general $SL(3,\mathbb{Z})$ modular properties of the elliptic $\Gamma$ function. We then use these properties to obtain a three integer parameter family of generalized Cardy-like limits of the $\mathcal{N}=4$ superconformal index. From these limits, we obtain entropy formulae that have a similar form as that of the original AdS$_5$ black hole, up to an overall rescaling of the entropy. We interpret this both on the field theory and the gravitational side. Finally, we comment on how our work suggests a generalization of the Farey tail to four dimensions.

6.08191

5.226427

6.2858

5.290007

5.675915

5.480066

5.253434

5.082406

5.262556

6.91609

5.124206

5.425963

6.191868

5.521105

5.523722

5.38064

5.689672

5.463645

5.455945

5.893529

5.502365

0902.4173

Yosuke Imamura

Monopole operators in N=4 Chern-Simons theories and wrapped M2-branes

18 pages, 2 figures, LaTeX. v2: references added, typos corrected

Prog.Theor.Phys.121:1173-1187,2009

10.1143/PTP.121.1173

UT-09-05

hep-th

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

Monopole operators in Abelian N=4 Chern-Simons theories described by circular quiver diagrams are investigated. The magnetic charges of non-diagonal U(1) gauge symmetries form the SU(p)xSU(q) root lattice where p and q are numbers of untwisted and twisted hypermultiplets, respectively. For monopole operators corresponding to the root vectors, we propose a correspondence between the monopole operators and states of a wrapped M2-brane in the dual geometry.

[ { "created": "Tue, 24 Feb 2009 15:29:07 GMT", "version": "v1" }, { "created": "Mon, 2 Mar 2009 06:04:34 GMT", "version": "v2" } ]

2011-08-23

[ [ "Imamura", "Yosuke", "" ] ]

Monopole operators in Abelian N=4 Chern-Simons theories described by circular quiver diagrams are investigated. The magnetic charges of non-diagonal U(1) gauge symmetries form the SU(p)xSU(q) root lattice where p and q are numbers of untwisted and twisted hypermultiplets, respectively. For monopole operators corresponding to the root vectors, we propose a correspondence between the monopole operators and states of a wrapped M2-brane in the dual geometry.

8.512851

9.23219

10.219751

7.568226

8.857442

8.630947

8.829041

8.581491

7.659822

12.178231

7.922261

8.20178

8.199479

8.018775

8.044738

7.862592

7.787949

8.049603

7.933992

8.21302

8.05899

1910.07354

Borut Bajc

Borut Bajc, Adrian Lugo and Francesco Sannino

Safe Hologram

6 pages

null

10.1142/S0217732320502739

null

hep-th hep-ph

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

We introduce a holographic model encapsulating the dynamics of safe quantum field theories.

[ { "created": "Wed, 16 Oct 2019 14:05:13 GMT", "version": "v1" } ]

2020-12-02

[ [ "Bajc", "Borut", "" ], [ "Lugo", "Adrian", "" ], [ "Sannino", "Francesco", "" ] ]

We introduce a holographic model encapsulating the dynamics of safe quantum field theories.

41.661404

14.653802

22.898167

21.244043

16.947327

20.145649

16.006895

23.280703

20.626055

27.393353

23.279642

19.875866

24.60367

22.521385

21.998596

22.105305

22.072193

23.072752

22.009108

26.196728

26.453241

2310.15792

Dan Xie

Yuanyuan Fang, Jing Feng, Dan Xie

Three dimensional quotient singularity and 4d $\mathcal{N}=1$ AdS/CFT correspondence

43 pages, 15 tables, and 13 figures

null

hep-th math.AG

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

We systematically study the AdS/CFT correspondence induced by D3 branes probing three dimensional Gorenstein quotient singularity $\mathbb{C}^3/G$. The field theory is given by the McKay quiver, which has a vanishing NSVZ beta function assuming that all the chiral fields have the $U(1)_R$ charge $\frac{2}{3}$. Various physical quantities such as quiver Hilbert series, superconformal index, central charges, etc are computed, which match exactly with those computed using the singularity. We also study the relevant deformation of those theories and find the dual geometry, therefore generate many new interesting AdS/CFT pairs. The quiver gauge theory defined using finite subgroups of $SO(3)$ group has some interesting features, for example, its Seiberg duality behavior is quite interesting.

[ { "created": "Tue, 24 Oct 2023 12:42:21 GMT", "version": "v1" } ]

2023-10-25

[ [ "Fang", "Yuanyuan", "" ], [ "Feng", "Jing", "" ], [ "Xie", "Dan", "" ] ]

We systematically study the AdS/CFT correspondence induced by D3 branes probing three dimensional Gorenstein quotient singularity $\mathbb{C}^3/G$. The field theory is given by the McKay quiver, which has a vanishing NSVZ beta function assuming that all the chiral fields have the $U(1)_R$ charge $\frac{2}{3}$. Various physical quantities such as quiver Hilbert series, superconformal index, central charges, etc are computed, which match exactly with those computed using the singularity. We also study the relevant deformation of those theories and find the dual geometry, therefore generate many new interesting AdS/CFT pairs. The quiver gauge theory defined using finite subgroups of $SO(3)$ group has some interesting features, for example, its Seiberg duality behavior is quite interesting.

9.975076

9.265951

12.515349

9.032495

9.067762

9.900388

9.375517

9.867147

9.744847

10.892122

9.398616

9.192381

10.097952

9.036716

8.776692

9.232307

9.050112

9.204672

9.062581

9.729045

9.162724

0807.1293

Ant\'on F. Faedo

Enrique Alvarez, Anton F. Faedo and J.J. Lopez-Villarejo

Ultraviolet behavior of transverse gravity

22 pages

JHEP0810:023,2008

10.1088/1126-6708/2008/10/023

IFT-UAM/CSIC-08-31

hep-th gr-qc

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

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the metric transforms as a true scalar instead of a density. Generically, the models include an additional scalar degree of freedom contained in the metric besides the usual spin two component. When the cosmological constant is fine tuned to zero, there are only two theories which are on shell finite, namely the one in which the symmetry is enhanced to the full group of diffeomorphisms, i.e. Einstein's gravity, and another one denoted by WTDiff which enjoys local Weyl invariance. Both of them are free from the additional scalar.

[ { "created": "Tue, 8 Jul 2008 16:24:20 GMT", "version": "v1" } ]

2008-11-26

[ [ "Alvarez", "Enrique", "" ], [ "Faedo", "Anton F.", "" ], [ "Lopez-Villarejo", "J. J.", "" ] ]

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the metric transforms as a true scalar instead of a density. Generically, the models include an additional scalar degree of freedom contained in the metric besides the usual spin two component. When the cosmological constant is fine tuned to zero, there are only two theories which are on shell finite, namely the one in which the symmetry is enhanced to the full group of diffeomorphisms, i.e. Einstein's gravity, and another one denoted by WTDiff which enjoys local Weyl invariance. Both of them are free from the additional scalar.

9.664923

9.223166

9.135498

8.21245

9.272977

9.238386

9.703707

8.26544

8.518914

9.436854

8.983761

8.80823

8.658813

8.650403

8.447047

8.410742

8.76311

8.418989

8.540941

8.852144

8.78044

1112.3541

Askold Duviryak

Jurij W. Darewych and Askold Duviryak

Analysis of inter-quark interactions in classical chromodynamics

10 pages, 1 figure, LaTex2e

Cent. Eur. J. Phys. 11(3): 336-344, 2013

10.2478/s11534-013-0171-y

null

hep-th

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

The QCD gluon equation of motion is solved approximately by means of the Green function. This solution is used to reformulate the Lagrangian of QCD such that the gluon propagator appears directly in the interaction terms of the Lagrangian. The nature of the interactions is discussed. Their coordinate-space form is presented and analyzed in the static, non-relativistic case.

[ { "created": "Thu, 15 Dec 2011 15:46:30 GMT", "version": "v1" } ]

2019-10-04

[ [ "Darewych", "Jurij W.", "" ], [ "Duviryak", "Askold", "" ] ]

The QCD gluon equation of motion is solved approximately by means of the Green function. This solution is used to reformulate the Lagrangian of QCD such that the gluon propagator appears directly in the interaction terms of the Lagrangian. The nature of the interactions is discussed. Their coordinate-space form is presented and analyzed in the static, non-relativistic case.

9.584065

8.968979

8.879566

8.313393

8.093143

8.975045

7.774409

9.016871

7.954049

8.926509

8.490951

9.000685

8.511385

8.464474

8.429416

8.529013

8.855094

8.64394

8.565798

8.327261

8.601949

1712.03928

Julio Parra-Martinez

Zvi Bern, Julio Parra-Martinez, Radu Roiban

Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity

6 pages, journal version

Phys. Rev. Lett. 121, 101604 (2018)

10.1103/PhysRevLett.121.101604

UCLA/17/TEP/107

hep-th

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

${{\cal N}=4}$ supergravity is understood to contain a $U(1)$ anomaly which manifests itself via the nonvanishing of loop-level scattering amplitudes that violate a tree-level charge conservation rule. In this letter we provide detailed evidence that at one loop such anomalous amplitudes can be set to zero by the addition of a finite local counterterm. We show that the same counterterm also cancels evanescent contributions which play an important role in the analysis of ultraviolet divergences in dimensionally regularized gravity. These cancellations call for a reanalysis of the four-loop ultraviolet divergences previously found in this theory without the addition of such counterterms.

[ { "created": "Mon, 11 Dec 2017 18:16:12 GMT", "version": "v1" }, { "created": "Sat, 10 Nov 2018 23:26:37 GMT", "version": "v2" } ]

2018-11-13

[ [ "Bern", "Zvi", "" ], [ "Parra-Martinez", "Julio", "" ], [ "Roiban", "Radu", "" ] ]

${{\cal N}=4}$ supergravity is understood to contain a $U(1)$ anomaly which manifests itself via the nonvanishing of loop-level scattering amplitudes that violate a tree-level charge conservation rule. In this letter we provide detailed evidence that at one loop such anomalous amplitudes can be set to zero by the addition of a finite local counterterm. We show that the same counterterm also cancels evanescent contributions which play an important role in the analysis of ultraviolet divergences in dimensionally regularized gravity. These cancellations call for a reanalysis of the four-loop ultraviolet divergences previously found in this theory without the addition of such counterterms.

8.61953

8.350352

8.688342

8.027052

8.456248

8.146719

7.877882

8.194986

8.003579

9.2445

8.335347

8.165445

8.098001

7.912356

8.33605

8.178975

8.368278

8.033525

8.069841

8.175528

7.860872

1802.00006

Jorrit Kruthoff

Alexandre Belin, Jan de Boer, Jorrit Kruthoff

Comments on a state-operator correspondence for the torus

29 pages, 8 figures

SciPost Phys. 5, 060 (2018)

10.21468/SciPostPhys.5.6.060

null

hep-th

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

We investigate the existence of a state-operator correspondence on the torus. This correspondence would relate states of the CFT Hilbert space living on a spatial torus to the path integral over compact Euclidean manifolds with operator insertions. Unlike the states on the sphere that are associated to local operators, we argue that those on the torus would more naturally be associated to line operators. We find evidence that such a correspondence cannot exist and in particular, we argue that no compact Euclidean path integral can produce the vacuum on the torus. Our arguments come solely from field theory and formulate a CFT version of the Horowitz-Myers conjecture for the AdS soliton.

[ { "created": "Wed, 31 Jan 2018 19:00:00 GMT", "version": "v1" }, { "created": "Sat, 13 Oct 2018 01:59:35 GMT", "version": "v2" } ]

2018-12-12

[ [ "Belin", "Alexandre", "" ], [ "de Boer", "Jan", "" ], [ "Kruthoff", "Jorrit", "" ] ]

We investigate the existence of a state-operator correspondence on the torus. This correspondence would relate states of the CFT Hilbert space living on a spatial torus to the path integral over compact Euclidean manifolds with operator insertions. Unlike the states on the sphere that are associated to local operators, we argue that those on the torus would more naturally be associated to line operators. We find evidence that such a correspondence cannot exist and in particular, we argue that no compact Euclidean path integral can produce the vacuum on the torus. Our arguments come solely from field theory and formulate a CFT version of the Horowitz-Myers conjecture for the AdS soliton.

8.499074

9.114733

10.310901

8.594156

9.079865

9.158144

9.978361

8.645337

8.58465

10.107871

8.721927

8.656551

8.884311

8.21415

8.245592

8.323401

8.531104

7.981446

8.50092

8.824952

8.157074

1612.03289

Roldao da Rocha

Nelson R. F. Braga, Roldao da Rocha

Configurational entropy of anti-de Sitter black holes

7 pages, 4 figures

Phys. Lett. B 767 (2017) 381

10.1016/j.physletb.2017.02.031

null

hep-th gr-qc

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

Recent studies indicate that the configurational entropy is an useful tool to investigate the stability and (or) the relative dominance of states for diverse physical systems. Recent examples comprise the connection between the variation of this quantity and the relative fraction of light mesons and glueballs observed in hadronic processes. Here we develop a technique for defining a configurational entropy for an AdS-Schwarzschild black hole. The achieved result corroborates consistency with the Hawking-Page phase transition. Namely, the dominance of the black hole configurational entropy will be shown to increase with the temperature. In order to verify the consistency of the new procedure developed here, we also consider the case of black holes in flat space-time. For such a black hole, it is known that evaporation leads to instability. The configurational entropy obtained for the flat space case is thoroughly consistent with the physical expectation. In fact, we show that the smaller the black holes, the more unstable they are. So, the configurational entropy furnishes a reliable measure for stability of black holes.

[ { "created": "Sat, 10 Dec 2016 13:01:40 GMT", "version": "v1" }, { "created": "Tue, 21 Feb 2017 16:57:07 GMT", "version": "v2" } ]

2017-02-22

[ [ "Braga", "Nelson R. F.", "" ], [ "da Rocha", "Roldao", "" ] ]

Recent studies indicate that the configurational entropy is an useful tool to investigate the stability and (or) the relative dominance of states for diverse physical systems. Recent examples comprise the connection between the variation of this quantity and the relative fraction of light mesons and glueballs observed in hadronic processes. Here we develop a technique for defining a configurational entropy for an AdS-Schwarzschild black hole. The achieved result corroborates consistency with the Hawking-Page phase transition. Namely, the dominance of the black hole configurational entropy will be shown to increase with the temperature. In order to verify the consistency of the new procedure developed here, we also consider the case of black holes in flat space-time. For such a black hole, it is known that evaporation leads to instability. The configurational entropy obtained for the flat space case is thoroughly consistent with the physical expectation. In fact, we show that the smaller the black holes, the more unstable they are. So, the configurational entropy furnishes a reliable measure for stability of black holes.

10.499778

10.715067

10.52705

9.956237

10.642839

10.394327

10.526862

9.882371

9.8775

10.954705

10.6436

10.315152

10.301058

10.205073

10.284169

10.246513

10.34524

10.393154

10.165036

10.006278

10.297801

0911.5697

Thomas Danckaert

Thomas Danckaert and Jan Louis

Type IIA orientifold compactification on SU(2)-structure manifolds

31 pages; v2: local report number added

JHEP 1001:105,2010

10.1007/JHEP01(2010)105

ZMP-HH/09-30

hep-th

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

We investigate the effective theory of type IIA string theory on six-dimensional orientifold backgrounds with SU(2)-structure. We focus on the case of orientifolds with O6-planes, for which we compute the bosonic effective action in the supergravity approximation. For a generic SU(2)-structure background, we find that the low-energy effective theory is a gauged N=2 supergravity where moduli in both vector and hypermultiplets are charged. Since all these supergravities descend from a corresponding N=4 background, their scalar target space is always a quotient of a SU(1,1)/U(1) x SO(6,n)/SO(6)xSO(n) coset, and is therefore also very constrained.

[ { "created": "Mon, 30 Nov 2009 17:50:57 GMT", "version": "v1" }, { "created": "Tue, 8 Dec 2009 17:03:29 GMT", "version": "v2" } ]

2014-11-20

[ [ "Danckaert", "Thomas", "" ], [ "Louis", "Jan", "" ] ]

We investigate the effective theory of type IIA string theory on six-dimensional orientifold backgrounds with SU(2)-structure. We focus on the case of orientifolds with O6-planes, for which we compute the bosonic effective action in the supergravity approximation. For a generic SU(2)-structure background, we find that the low-energy effective theory is a gauged N=2 supergravity where moduli in both vector and hypermultiplets are charged. Since all these supergravities descend from a corresponding N=4 background, their scalar target space is always a quotient of a SU(1,1)/U(1) x SO(6,n)/SO(6)xSO(n) coset, and is therefore also very constrained.

6.609661

6.099223

8.708387

6.770622

6.066543

6.315216

6.590522

6.238451

6.981016

8.127396

6.566569

6.593117

7.118877

6.290946

6.484291

6.461237

6.534172

6.650301

6.446255

7.336411

6.242146

hep-th/0008245

Shoichi Ichinose

Wall and Anti-Wall in the Randall-Sundrum Model and A New Infrared Regularization

36 pages, 29 eps figure files

Phys.Rev. D65 (2002) 084038

10.1103/PhysRevD.65.084038

US-00-07

hep-th hep-ph

null

An approach to find the field equation solution of the Randall-Sundrum model with the $S^1/Z_2$ extra axis is presented. We closely examine the infrared singularity. The vacuum is set by the 5 dimensional Higgs field. Both the domain-wall and the anti-domain-wall naturally appear, at the {\it ends} of the extra compact axis, by taking a {\it new infrared regularization}. The stability is guaranteed from the outset by the kink boundary condition. A {\it continuous} (infrared-)regularized solution, which is a truncated {\it Fourier series} of a {\it discontinuous} solution, is utilized.The ultraviolet-infrared relation appears in the regularized solution.

[ { "created": "Thu, 31 Aug 2000 09:26:04 GMT", "version": "v1" }, { "created": "Fri, 1 Sep 2000 06:34:19 GMT", "version": "v2" }, { "created": "Wed, 19 Sep 2001 13:22:20 GMT", "version": "v3" } ]

2009-10-31

[ [ "Ichinose", "Shoichi", "" ] ]

An approach to find the field equation solution of the Randall-Sundrum model with the $S^1/Z_2$ extra axis is presented. We closely examine the infrared singularity. The vacuum is set by the 5 dimensional Higgs field. Both the domain-wall and the anti-domain-wall naturally appear, at the {\it ends} of the extra compact axis, by taking a {\it new infrared regularization}. The stability is guaranteed from the outset by the kink boundary condition. A {\it continuous} (infrared-)regularized solution, which is a truncated {\it Fourier series} of a {\it discontinuous} solution, is utilized.The ultraviolet-infrared relation appears in the regularized solution.

19.095385

18.164114

18.939453

17.309284

18.419348

18.112415

18.446882

18.45747

18.491245

21.716089

18.378815

18.260462

17.535706

17.435093

17.454924

17.884407

17.671804

18.026756

17.137009

17.161844

17.860941

1002.3388

Augusto Sagnotti

A. Sagnotti (Scuola Normale Superiore and INFN, Pisa)

Higher Spins and Current Exchanges

7 pages, LATEX. Lecture presented at the 9th Hellenic School on Elementary Particle Physics and Gravity, Corfu 2009

null

hep-th

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

The simplest higher-spin interactions involve classical external currents and symmetric tensors $\phi_{\m_1 ... \m_s}$, and convey three instructive lessons. The first is a general form of the van Dam-Veltman-Zakharov discontinuity in flat space for this class of fields. The second is the rationale for its disappearance in (A)dS spaces. Finally, the third is a glimpse into an option which is commonly overlooked in Field Theory, and which both higher spins and String Theory are confronting us with: one can well allow in the Lagrangians non-local terms that do not spoil the local nature of physical quantities.

[ { "created": "Wed, 17 Feb 2010 21:50:02 GMT", "version": "v1" } ]

2010-02-19

[ [ "Sagnotti", "A.", "", "Scuola Normale Superiore and INFN, Pisa" ] ]

The simplest higher-spin interactions involve classical external currents and symmetric tensors $\phi_{\m_1 ... \m_s}$, and convey three instructive lessons. The first is a general form of the van Dam-Veltman-Zakharov discontinuity in flat space for this class of fields. The second is the rationale for its disappearance in (A)dS spaces. Finally, the third is a glimpse into an option which is commonly overlooked in Field Theory, and which both higher spins and String Theory are confronting us with: one can well allow in the Lagrangians non-local terms that do not spoil the local nature of physical quantities.

18.388336

17.251696

18.707914

16.230371

15.209167

18.4342

16.364357

15.40846

15.523235

19.520243

15.903703

16.220425

17.244108

16.682335

16.684877

16.454168

15.927218

15.871048

16.702959

16.91412

16.2628

1610.01835

Mohammad Ali-Akbari

M. Rahimi, M. Ali-Akbari, M. Lezgi

Entanglement Entropy in a Non-Conformal Background

5 pages, 3 figures, published version

null

10.1016/j.physletb.2017.05.055

null

hep-th

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

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $\Lambda$. At zero temperature, we observe that entanglement entropy decreases by raising $\Lambda$. However, at finite temperature, we realize that both $\frac{\Lambda}{T}$ and entanglement entropy rise together. Comparing entanglement entropy of the non-conformal theory, $S_{A(N)}$, and of its conformal theory at the $UV$ limit, $ S_{A(C)}$, reveals that $S_{A(N)}$ can be larger or smaller than $S_{A(C)}$, depending on the value of $\frac{\Lambda}{T}$.

[ { "created": "Thu, 6 Oct 2016 12:12:36 GMT", "version": "v1" }, { "created": "Fri, 7 Oct 2016 06:28:03 GMT", "version": "v2" }, { "created": "Tue, 25 Jul 2017 12:20:07 GMT", "version": "v3" } ]

2017-08-02

[ [ "Rahimi", "M.", "" ], [ "Ali-Akbari", "M.", "" ], [ "Lezgi", "M.", "" ] ]

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $\Lambda$. At zero temperature, we observe that entanglement entropy decreases by raising $\Lambda$. However, at finite temperature, we realize that both $\frac{\Lambda}{T}$ and entanglement entropy rise together. Comparing entanglement entropy of the non-conformal theory, $S_{A(N)}$, and of its conformal theory at the $UV$ limit, $ S_{A(C)}$, reveals that $S_{A(N)}$ can be larger or smaller than $S_{A(C)}$, depending on the value of $\frac{\Lambda}{T}$.

5.476958

4.971721

4.977445

5.018717

5.17462

5.073857

5.410158

4.959249

4.93803

5.474892

5.133049

5.089314

5.076756

5.207259

4.992705

5.026476

5.140088

4.925246

5.080715

5.147412

4.98701

hep-th/9802156

I. L. Buchbinder

I.L. Buchbinder (Tomsk State Pedagogical University), B.A.Ovrut (University of Pennsylvania)

Background Field Method and Structure of Effective Action in N=2 Super Yang-Mills Theories

7 pages, 1 figure. The extended talk given by I.L. Buchbinder at 31st International Ahrenshoop Symposium on the Theory of Elementary Particles, Buckow, Germany, 2-6 September 1997, will be published in the Proceedings

null

hep-th

null

This paper is a brief review of background field method and some of its applications in N=2 super Yang-Mills theories with a matter within harmonic superspace approach. A general structure of effective action is discussed, an absence of two-loop quantum corrections to first non-leading term in effective action is proved and N=2 non-renormalization theorem in this approach is considered.

[ { "created": "Mon, 23 Feb 1998 05:06:48 GMT", "version": "v1" }, { "created": "Sat, 28 Feb 1998 06:42:39 GMT", "version": "v2" } ]

2009-09-25

[ [ "Buchbinder", "I. L.", "", "Tomsk State Pedagogical University" ], [ "Ovrut", "B. A.", "", "University of Pennsylvania" ] ]

This paper is a brief review of background field method and some of its applications in N=2 super Yang-Mills theories with a matter within harmonic superspace approach. A general structure of effective action is discussed, an absence of two-loop quantum corrections to first non-leading term in effective action is proved and N=2 non-renormalization theorem in this approach is considered.

12.527485

10.215139

11.933702

9.51425

10.097836

9.639968

10.225986

8.573593

8.647817

14.731874

9.299762

10.40923

12.035948

10.678774

10.834528

11.087837

10.789099

10.935137

10.531385

12.742193

11.078081

2108.10669

Robert de Mello Koch

Robert de Mello Koch, Minkyoo Kim and Hendrik J.R. Van Zyl

Complexity from Spinning Primaries

30+1 pages; v2: refs added

null

10.1007/JHEP12(2021)030

null

hep-th

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

We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to generalize formulas for the circuit complexity obtained from circuits starting from scalar primary states. These results are nicely reproduced in terms of the geometry of coadjoint orbits of the conformal group. In contrast to the complexity geometry obtained from scalar primary states, the geometry is more complicated and the existence of conjugate points, signaling the saturation of complexity, remains open.

[ { "created": "Tue, 24 Aug 2021 12:16:21 GMT", "version": "v1" }, { "created": "Fri, 27 Aug 2021 09:39:20 GMT", "version": "v2" } ]

2021-12-22

[ [ "Koch", "Robert de Mello", "" ], [ "Kim", "Minkyoo", "" ], [ "Van Zyl", "Hendrik J. R.", "" ] ]

We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to generalize formulas for the circuit complexity obtained from circuits starting from scalar primary states. These results are nicely reproduced in terms of the geometry of coadjoint orbits of the conformal group. In contrast to the complexity geometry obtained from scalar primary states, the geometry is more complicated and the existence of conjugate points, signaling the saturation of complexity, remains open.

17.132401

15.50873

19.29921

14.91566

15.1091

14.272849

13.782557

14.88245

15.936193

18.154818

15.551989

16.821705

17.865995

15.81473

16.622238

16.180975

16.763208

16.082563

16.00029

17.776625

15.787793

1006.2709

Aram Saharian

A.A. Saharian, M.R. Setare

Casimir effect for curved boundaries in Robertson-Walker spacetime

11 pages, 3 figures

Class.Quant.Grav.27:225009,2010

10.1088/0264-9381/27/22/225009

null

hep-th

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

Vacuum expectation values of the energy-momentum tensor and the Casimir forces are evaluated for scalar and electromagnetic fields in the geometry of two curved boundaries on background of the Robertson-Walker spacetime with negative spatial curvature. Robin boundary conditions are imposed in the case of the scalar field and perfect conductor boundary conditions are assumed for the electromagnetic field. We use the conformal relation between the Robertson-Walker and Rindler spacetimes and the corresponding results for two parallel plates moving with uniform proper acceleration through the Fulling-Rindler vacuum. For the general scale factor the vacuum energy-momentum tensor is decomposed into the boundary free and boundary induced parts. The latter is non-diagonal. The Casimir forces are directed along the normals to the boundaries. For Dirichlet and Neumann scalars and for the electromagnetic field these forces are attractive for all separations.

[ { "created": "Mon, 14 Jun 2010 13:42:48 GMT", "version": "v1" } ]

2010-11-12

[ [ "Saharian", "A. A.", "" ], [ "Setare", "M. R.", "" ] ]

Vacuum expectation values of the energy-momentum tensor and the Casimir forces are evaluated for scalar and electromagnetic fields in the geometry of two curved boundaries on background of the Robertson-Walker spacetime with negative spatial curvature. Robin boundary conditions are imposed in the case of the scalar field and perfect conductor boundary conditions are assumed for the electromagnetic field. We use the conformal relation between the Robertson-Walker and Rindler spacetimes and the corresponding results for two parallel plates moving with uniform proper acceleration through the Fulling-Rindler vacuum. For the general scale factor the vacuum energy-momentum tensor is decomposed into the boundary free and boundary induced parts. The latter is non-diagonal. The Casimir forces are directed along the normals to the boundaries. For Dirichlet and Neumann scalars and for the electromagnetic field these forces are attractive for all separations.

6.249954

3.873258

6.82368

4.379653

4.242148

4.285695

4.331903

4.402675

4.2394

6.690035

4.688344

5.101882

6.08273

5.707333

5.400862

5.342732

5.178696

5.272019

5.483111

6.04024

5.286994

hep-th/9412131

Banks Tomas

Thomas Banks (Rutgers University)

Lectures On Black Hole Evaporation and Information Loss

65 pages, 9 figures submitted separately as a uuencoded compressed tar file, uses epsf.tex

Nucl.Phys.Proc.Suppl. 41 (1995) 21-65

10.1016/0920-5632(95)00430-H

RU-94-91

hep-th

null

Trieste Spring School Lectures describing the author's opinions about black hole evaporation and information loss. The remnant, or cornucopion scenario for the endpoint of Hawking evaporation is described in detail. In this picture information can be lost to the original asymptotic observer without violating the rules of quantum mechanics, because a black hole remnant is viewed as a large space connected onto our own by an almost pointlike opening. It does not behave like an elementary particle. Objections to remnants are refuted and the (remote) possibility of testing this scenario experimentally is discussed. Also included is a brief description of Susskind's picture of the stringy origin of Bekenstein-Hawking entropy. An attempt is made to argue that the cornucopion picture and Susskind's model of the states responsible for black hole entropy are compatible with each other. Information is lost to the asymptotic observer in Hawking evaporation, but the information encoded in the BH entropy remains in causal contact with him and is re-emitted with the Hawking radiation.

[ { "created": "Thu, 15 Dec 1994 11:57:27 GMT", "version": "v1" } ]

2009-10-28

[ [ "Banks", "Thomas", "", "Rutgers University" ] ]

Trieste Spring School Lectures describing the author's opinions about black hole evaporation and information loss. The remnant, or cornucopion scenario for the endpoint of Hawking evaporation is described in detail. In this picture information can be lost to the original asymptotic observer without violating the rules of quantum mechanics, because a black hole remnant is viewed as a large space connected onto our own by an almost pointlike opening. It does not behave like an elementary particle. Objections to remnants are refuted and the (remote) possibility of testing this scenario experimentally is discussed. Also included is a brief description of Susskind's picture of the stringy origin of Bekenstein-Hawking entropy. An attempt is made to argue that the cornucopion picture and Susskind's model of the states responsible for black hole entropy are compatible with each other. Information is lost to the asymptotic observer in Hawking evaporation, but the information encoded in the BH entropy remains in causal contact with him and is re-emitted with the Hawking radiation.

11.833528

12.829153

12.515961

11.028574

11.004554

12.082068

11.968779

11.391928

11.099192

13.179567

11.677615

10.637108

11.451414

10.718042

10.828674

10.926085

10.759611

10.7366

10.734895

10.990933

11.141492

hep-th/9308071

Yoon-Bai Kim

B. K. Chung, K. G. Joo, and Soonkeon Nam

Hamiltonian formulation of SL(3) Ur-KdV equation

12 pages, KHTP-93-03 SNUTP-93-21

Mod.Phys.Lett.A8:2927-2936,1993

10.1142/S0217732393003342

null

hep-th nlin.SI solv-int

null

We give a unified view of the relation between the $SL(2)$ KdV, the mKdV, and the Ur-KdV equations through the Fr\'{e}chet derivatives and their inverses. For this we introduce a new procedure of obtaining the Ur-KdV equation, where we require that it has no non-local operators. We extend this method to the $SL(3)$ KdV equation, i.e., Boussinesq(Bsq) equation and obtain the hamiltonian structure of Ur-Bsq equationin a simple form. In particular, we explicitly construct the hamiltonian operator of the Ur-Bsq system which defines the poisson structure of the system, through the Fr\'{e}chet derivative and its inverse.

[ { "created": "Mon, 16 Aug 1993 05:55:21 GMT", "version": "v1" } ]

2010-02-05

[ [ "Chung", "B. K.", "" ], [ "Joo", "K. G.", "" ], [ "Nam", "Soonkeon", "" ] ]

We give a unified view of the relation between the $SL(2)$ KdV, the mKdV, and the Ur-KdV equations through the Fr\'{e}chet derivatives and their inverses. For this we introduce a new procedure of obtaining the Ur-KdV equation, where we require that it has no non-local operators. We extend this method to the $SL(3)$ KdV equation, i.e., Boussinesq(Bsq) equation and obtain the hamiltonian structure of Ur-Bsq equationin a simple form. In particular, we explicitly construct the hamiltonian operator of the Ur-Bsq system which defines the poisson structure of the system, through the Fr\'{e}chet derivative and its inverse.

10.012936

8.904507

10.291447

9.036598

8.707906

9.943974

8.831425

8.800401

9.673635

10.208423

9.171569

9.001263

9.824879

8.996113

9.250219

9.145543

9.261017

9.068389

9.225163

9.220809

8.965282

1808.09440

Valeri Vardanyan

Yashar Akrami, Renata Kallosh, Andrei Linde, Valeri Vardanyan

The landscape, the swampland and the era of precision cosmology

48 pages, 10 figures. v2: Improved version; discussions added, typos fixed, structure modified, appendix added on two-field scenarios, note added in response to arXiv:1809.00154. v3: Published version

Fortschr. Phys. 2018, 1800075

10.1002/prop.201800075

null

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

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

We review the advanced version of the KKLT construction and pure $d=4$ de Sitter supergravity, involving a nilpotent multiplet, with regard to various conjectures that de Sitter state cannot exist in string theory. We explain why we consider these conjectures problematic and not well motivated, and why the recently proposed alternative string theory models of dark energy, ignoring vacuum stabilization, are ruled out by cosmological observations at least at the $3\sigma$ level, i.e. with more than $99.7\%$ confidence.

[ { "created": "Tue, 28 Aug 2018 17:55:08 GMT", "version": "v1" }, { "created": "Mon, 10 Sep 2018 16:42:25 GMT", "version": "v2" }, { "created": "Fri, 12 Oct 2018 11:08:20 GMT", "version": "v3" } ]

2018-11-22

[ [ "Akrami", "Yashar", "" ], [ "Kallosh", "Renata", "" ], [ "Linde", "Andrei", "" ], [ "Vardanyan", "Valeri", "" ] ]

We review the advanced version of the KKLT construction and pure $d=4$ de Sitter supergravity, involving a nilpotent multiplet, with regard to various conjectures that de Sitter state cannot exist in string theory. We explain why we consider these conjectures problematic and not well motivated, and why the recently proposed alternative string theory models of dark energy, ignoring vacuum stabilization, are ruled out by cosmological observations at least at the $3\sigma$ level, i.e. with more than $99.7\%$ confidence.

12.113865

10.840086

12.720776

10.729324

11.596064

11.680561

12.30552

10.506161

10.512931

13.369524

10.738466

10.25394

10.306858

10.538378

10.303646

10.380164

10.43349

10.169574

10.402204

10.937827

9.886737

hep-th/0610105

Piotr Korcyl

Classical trajectories and quantum supersymmetry

16 pages, 12 figures, 5 tables, some misspellings corrected

Phys.Rev.D74:115012,2006

10.1103/PhysRevD.74.115012

TPJU-14/2006

hep-th

null

We analyze a supersymmetric system with four flat directions. We observe several interesting properties, such as the coexistence of the discrete and continuous spectrum in the same range of energies. We also solve numerically the classical counterpart of this system. A similar analysis is then done for an alike, but non-supersymmetric system. The comparison of theses classical and quantum results may serve as a suggestion about classical manifestations of supersymmetry.

[ { "created": "Mon, 9 Oct 2006 22:30:01 GMT", "version": "v1" }, { "created": "Fri, 3 Nov 2006 20:17:34 GMT", "version": "v2" } ]

2008-11-26

[ [ "Korcyl", "Piotr", "" ] ]

We analyze a supersymmetric system with four flat directions. We observe several interesting properties, such as the coexistence of the discrete and continuous spectrum in the same range of energies. We also solve numerically the classical counterpart of this system. A similar analysis is then done for an alike, but non-supersymmetric system. The comparison of theses classical and quantum results may serve as a suggestion about classical manifestations of supersymmetry.

14.162918

13.727289

14.067173

13.413367

13.363262

14.213473

13.236611

13.265488

12.808389

13.724553

13.494044

13.789489

13.961918

13.285393

13.166486

13.184482

12.846943

13.104033

13.156513

13.494369

12.731936

hep-th/9502162

D'Hoker

Eric D'Hoker

Invariant Effective Actions, Cohomology of Homogeneous Spaces and Anomalies

30 pages, Plain TeX, no figures.

Nucl.Phys. B451 (1995) 725-748

10.1016/0550-3213(95)00265-T

UCLA/95/TEP/5

hep-th hep-ph

null

We construct the most general local effective actions for Goldstone boson fields associated with spontaneous symmetry breakdown from a group $G$ to a subgroup $H$. In a preceding paper, it was shown that any $G$-invariant term in the action, which results from a non-invariant Lagrangian density, corresponds to a non-trivial generator of the de Rham cohomology classes of $G/H$. Here, we present an explicit construction of all the generators of this cohomology for any coset space $G/H$ and compact, connected group $G$. Generators contributing to actions in 4-dimensional space-time arise either as products of generators of lower degree such as the Goldstone-Wilczek current, or are of the Wess-Zumino-Witten type. The latter arise if and only if $G$ has a non-zero $G$-invariant symmetric $d$-symbol, which vanishes when restricted to the subgroup $H$, i.e. when $G$ has anomalous representations in which $H$ is embedded in an anomaly free way. Coupling of additional gauge fields leads to actions whose gauge variation coincides with the chiral anomaly, which is carried here by Goldstone boson fields at tree level. Generators contributing to actions in 3-dimensional space-time arise as Chern-Simons terms evaluated on connections that are composites of the Goldstone field.

[ { "created": "Tue, 28 Feb 1995 02:28:40 GMT", "version": "v1" } ]

2016-09-06

[ [ "D'Hoker", "Eric", "" ] ]

We construct the most general local effective actions for Goldstone boson fields associated with spontaneous symmetry breakdown from a group $G$ to a subgroup $H$. In a preceding paper, it was shown that any $G$-invariant term in the action, which results from a non-invariant Lagrangian density, corresponds to a non-trivial generator of the de Rham cohomology classes of $G/H$. Here, we present an explicit construction of all the generators of this cohomology for any coset space $G/H$ and compact, connected group $G$. Generators contributing to actions in 4-dimensional space-time arise either as products of generators of lower degree such as the Goldstone-Wilczek current, or are of the Wess-Zumino-Witten type. The latter arise if and only if $G$ has a non-zero $G$-invariant symmetric $d$-symbol, which vanishes when restricted to the subgroup $H$, i.e. when $G$ has anomalous representations in which $H$ is embedded in an anomaly free way. Coupling of additional gauge fields leads to actions whose gauge variation coincides with the chiral anomaly, which is carried here by Goldstone boson fields at tree level. Generators contributing to actions in 3-dimensional space-time arise as Chern-Simons terms evaluated on connections that are composites of the Goldstone field.

7.37827

8.155447

8.332219

7.957082

8.119126

8.592793

8.322175

8.008409

7.467719

8.922072

7.333659

7.461326

7.597789

7.376754

7.689608

7.760254

7.453562

7.547502

7.522373

7.500164

7.463273

0808.1815

Dionisio Bazeia

D. Bazeia, A.R. Gomes, L. Losano, R. Menezes

Braneworld Models of Scalar Fields with Generalized Dynamics

10 pages, 8 figures; version to appear in PLB

Phys.Lett.B671:402-410,2009

10.1016/j.physletb.2008.12.039

null

hep-th

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

This work deals with braneworld models driven by real scalar fields with nonstandard dynamics. We develop the first-order formalism for models with standard gravity but with the scalar fields having generalized dynamics. We illustrate the results with examples of current interest, and we find analytical and numerical solutions for warp factors and scalar fields. The results indicate that the generalized braneworld scenario is classically stable, and capable of localizing gravity

[ { "created": "Wed, 13 Aug 2008 12:07:37 GMT", "version": "v1" }, { "created": "Sat, 4 Oct 2008 13:21:14 GMT", "version": "v2" }, { "created": "Fri, 19 Dec 2008 11:58:59 GMT", "version": "v3" } ]

2009-01-29

[ [ "Bazeia", "D.", "" ], [ "Gomes", "A. R.", "" ], [ "Losano", "L.", "" ], [ "Menezes", "R.", "" ] ]

This work deals with braneworld models driven by real scalar fields with nonstandard dynamics. We develop the first-order formalism for models with standard gravity but with the scalar fields having generalized dynamics. We illustrate the results with examples of current interest, and we find analytical and numerical solutions for warp factors and scalar fields. The results indicate that the generalized braneworld scenario is classically stable, and capable of localizing gravity

15.173494

9.121446

13.131584

10.380324

9.215837

9.185529

8.489347

8.942984

9.514157

14.199444

11.323804

12.98397

14.342369

13.352879

13.014935

12.607823

12.78764

13.795053

13.696575

14.27629

13.448164

2309.07769

Xi Tong

David Stefanyszyn, Xi Tong, and Yuhang Zhu

Cosmological Correlators Through the Looking Glass: Reality, Parity, and Factorisation

67 pages, 7 figures, v2: 70 pages, 9 figures, more discussions added

null

10.1007/JHEP05(2024)196

null

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

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

We consider the evolution of quantum fields during inflation, and show that the total-energy singularities appearing in the perturbative expansion of the late-time Wavefunction of the Universe are purely real when the external states are massless scalars and massless gravitons. Our proof relies on the tree-level approximation, Bunch-Davies initial conditions, and exact scale invariance (IR-convergence), but without any assumptions on invariance under de Sitter boosts. We consider all $n$-point functions and allow for the exchange of additional states of any mass and integer spin. Our proof makes use of a decomposition of the inflationary bulk-bulk propagator of massive spinning fields which preserves UV-convergence and ensures that the time-ordered contributions are purely real after we rotate to Euclidean time. We use this reality property to show that the maximally-connected parts of wavefunction coefficients, from which total-energy singularities originate, are purely real. In a theory where all states are in the complementary series, this reality extends to the full wavefunction coefficient. We then use our reality theorem to show that parity-odd correlators (correlators that are mirror asymmetric) are factorised and do not diverge when the total-energy is conserved. We pay special attention to the parity-odd four-point function (trispectrum) of inflationary curvature perturbations and use our reality/factorisation theorems to show that this observable is factorised into a product of cubic diagrams thereby enabling us to derive exact shapes. We present examples of couplings between the inflaton and massive spin-1 and spin-2 fields, with the parity-violation in the trispectrum driven by Chern-Simons corrections to the spinning field two-point function, or from parity-violating cubic interactions which we build within the Effective Field Theory of Inflation.

[ { "created": "Thu, 14 Sep 2023 14:59:55 GMT", "version": "v1" }, { "created": "Mon, 10 Jun 2024 08:37:00 GMT", "version": "v2" } ]

2024-06-11

[ [ "Stefanyszyn", "David", "" ], [ "Tong", "Xi", "" ], [ "Zhu", "Yuhang", "" ] ]

We consider the evolution of quantum fields during inflation, and show that the total-energy singularities appearing in the perturbative expansion of the late-time Wavefunction of the Universe are purely real when the external states are massless scalars and massless gravitons. Our proof relies on the tree-level approximation, Bunch-Davies initial conditions, and exact scale invariance (IR-convergence), but without any assumptions on invariance under de Sitter boosts. We consider all $n$-point functions and allow for the exchange of additional states of any mass and integer spin. Our proof makes use of a decomposition of the inflationary bulk-bulk propagator of massive spinning fields which preserves UV-convergence and ensures that the time-ordered contributions are purely real after we rotate to Euclidean time. We use this reality property to show that the maximally-connected parts of wavefunction coefficients, from which total-energy singularities originate, are purely real. In a theory where all states are in the complementary series, this reality extends to the full wavefunction coefficient. We then use our reality theorem to show that parity-odd correlators (correlators that are mirror asymmetric) are factorised and do not diverge when the total-energy is conserved. We pay special attention to the parity-odd four-point function (trispectrum) of inflationary curvature perturbations and use our reality/factorisation theorems to show that this observable is factorised into a product of cubic diagrams thereby enabling us to derive exact shapes. We present examples of couplings between the inflaton and massive spin-1 and spin-2 fields, with the parity-violation in the trispectrum driven by Chern-Simons corrections to the spinning field two-point function, or from parity-violating cubic interactions which we build within the Effective Field Theory of Inflation.

12.453385

13.66269

13.394023

12.221381

13.250366

12.820653

12.4317

12.376778

12.279747

14.434594

12.292665

12.381839

12.763608

12.319399

12.415174

12.715972

12.542577

12.523157

12.304772

12.958277

12.045957

hep-th/0405025

Claude Bervillier

C. Bervillier

The Wilson-Polchinski exact renormalization group equation

Some minor changes, a reference added, typos corrected

Phys.Lett.A332:93-100,2004

10.1016/j.physleta.2004.09.037

T04/058

hep-th cond-mat.other

null

The critical exponent $\eta $ is not well accounted for in the Polchinski exact formulation of the renormalization group (RG). With a particular emphasis laid on the introduction of the critical exponent $\eta $, I re-establish (after Golner, hep-th/9801124) the explicit relation between the early Wilson exact RG equation, constructed with the incomplete integration as cutoff procedure, and the formulation with an arbitrary cutoff function proposed later on by Polchinski. I (re)-do the analysis of the Wilson-Polchinski equation expanded up to the next to leading order of the derivative expansion. I finally specify a criterion for choosing the ``best'' value of $\eta $ to this order. This paper will help in using more systematically the exact RG equation in various studies.

[ { "created": "Tue, 4 May 2004 08:47:31 GMT", "version": "v1" }, { "created": "Wed, 26 May 2004 14:38:58 GMT", "version": "v2" } ]

2014-11-18

[ [ "Bervillier", "C.", "" ] ]

The critical exponent $\eta $ is not well accounted for in the Polchinski exact formulation of the renormalization group (RG). With a particular emphasis laid on the introduction of the critical exponent $\eta $, I re-establish (after Golner, hep-th/9801124) the explicit relation between the early Wilson exact RG equation, constructed with the incomplete integration as cutoff procedure, and the formulation with an arbitrary cutoff function proposed later on by Polchinski. I (re)-do the analysis of the Wilson-Polchinski equation expanded up to the next to leading order of the derivative expansion. I finally specify a criterion for choosing the ``best'' value of $\eta $ to this order. This paper will help in using more systematically the exact RG equation in various studies.

16.805157

16.094711

17.927952

14.773666

16.781971

15.814986

16.200132

16.299755

14.496065

19.060652

15.237619

15.345278

16.729988

15.479842

16.150499

15.349782

15.636848

15.205045

15.248954

16.352978

15.574456

2306.00865

Ilarion Melnikov

Peng Cheng, Ilarion V. Melnikov, and Ruben Minasian

Flat F-theory and friends

26 pages; typos fixed, comments added, discussion of T-duality clarified

null

hep-th

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

We discuss F-theory backgrounds associated to flat torus bundles over Ricci-flat manifolds. In this setting the F-theory background can be understood as a IIB orientifold with a large radius limit described by a supersymmetric compactification of IIB supergravity on a smooth, Ricci flat, but in general non-spin geometry. When compactified on an additional circle these backgrounds are T-dual to IIA compactifications on smooth non-orientable manifolds with a Pin-minus structure.

[ { "created": "Thu, 1 Jun 2023 16:24:14 GMT", "version": "v1" }, { "created": "Wed, 22 Nov 2023 15:51:24 GMT", "version": "v2" } ]

2023-11-23

[ [ "Cheng", "Peng", "" ], [ "Melnikov", "Ilarion V.", "" ], [ "Minasian", "Ruben", "" ] ]

We discuss F-theory backgrounds associated to flat torus bundles over Ricci-flat manifolds. In this setting the F-theory background can be understood as a IIB orientifold with a large radius limit described by a supersymmetric compactification of IIB supergravity on a smooth, Ricci flat, but in general non-spin geometry. When compactified on an additional circle these backgrounds are T-dual to IIA compactifications on smooth non-orientable manifolds with a Pin-minus structure.

10.767066

11.071932

14.087121

9.406052

10.55032

10.178321

10.45474

10.117023

10.06109

15.173604

9.442335

9.798798

11.229969

9.721435

10.077332

10.038986

10.207687

9.735143

9.831522

10.61751

9.436268

1210.6164

Adriano Lana Cherchiglia

A. L. Cherchiglia, L. A. Cabral, M. C. Nemes, Marcos Sampaio

(Un)determined finite regularization dependent quantum corrections: the Higgs decay into two photons and the two photon scattering examples

Version accepted for publication at Phys. Rev. D

Phys.Rev. D87 (2013) 065011

10.1103/PhysRevD.87.065011

null

hep-th hep-ph

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

We investigate the appearance of arbitrary, regularization dependent parameters introduced by divergent integrals in two a priori finite but superficially divergent amplitudes: the Higgs decay into two photons and the two photon scattering. We use a general parametrization of ultraviolet divergences which makes explicit such ambiguities. Thus we separate in a consistent way using Implicit Regularization the divergent, finite and regularization dependent parts of the amplitudes which in turn are written as surface terms. We find that, although finite, these amplitudes are ambiguous before the imposition of physical conditions namely momentum routing invariance in the loops of Feynman diagrams. In the examples we study momentum routing invariance turns out to be equivalent to gauge invariance. We also discuss the results obtained by different regularizations and show how they can be reproduced within our framework allowing for a clear view on the origin of regularization ambiguities.

[ { "created": "Tue, 23 Oct 2012 08:43:24 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2013 10:27:32 GMT", "version": "v2" } ]

2013-03-19

[ [ "Cherchiglia", "A. L.", "" ], [ "Cabral", "L. A.", "" ], [ "Nemes", "M. C.", "" ], [ "Sampaio", "Marcos", "" ] ]

We investigate the appearance of arbitrary, regularization dependent parameters introduced by divergent integrals in two a priori finite but superficially divergent amplitudes: the Higgs decay into two photons and the two photon scattering. We use a general parametrization of ultraviolet divergences which makes explicit such ambiguities. Thus we separate in a consistent way using Implicit Regularization the divergent, finite and regularization dependent parts of the amplitudes which in turn are written as surface terms. We find that, although finite, these amplitudes are ambiguous before the imposition of physical conditions namely momentum routing invariance in the loops of Feynman diagrams. In the examples we study momentum routing invariance turns out to be equivalent to gauge invariance. We also discuss the results obtained by different regularizations and show how they can be reproduced within our framework allowing for a clear view on the origin of regularization ambiguities.

11.478106

10.523941

11.03927

10.666348

10.800748

11.024723

11.216937

10.874336

10.148279

11.01569

10.493354

10.879159

11.162524

11.014177

11.222611

11.004405

11.01576

11.275849

10.872404

11.561391

11.297692

hep-th/0111286

Grigorii Pivovarov

Grigorii B. Pivovarov and James P. Vary

A Non-Abelian Fourier Transform for Gauge Theories

12 pages

Phys.Rev. D65 (2002) 125004

10.1103/PhysRevD.65.125004

null

hep-th

null

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge invariant. The functional measure and the gauge field strengths are expressed in terms of these Fourier coefficients. The emerging formulation of the non-Abelian gauge theory turns out to be an Abelian gauge theory of a set of fields defined over the initial space with the compactified dimension excluded. The Abelian theory contains an Abelian gauge field, a scalar field, and an infinite tower of vector matter fields, some of which carry Abelian charges. Possible applications of this formalism are discussed briefly.

[ { "created": "Fri, 30 Nov 2001 13:31:00 GMT", "version": "v1" } ]

2009-11-07

[ [ "Pivovarov", "Grigorii B.", "" ], [ "Vary", "James P.", "" ] ]

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge invariant. The functional measure and the gauge field strengths are expressed in terms of these Fourier coefficients. The emerging formulation of the non-Abelian gauge theory turns out to be an Abelian gauge theory of a set of fields defined over the initial space with the compactified dimension excluded. The Abelian theory contains an Abelian gauge field, a scalar field, and an infinite tower of vector matter fields, some of which carry Abelian charges. Possible applications of this formalism are discussed briefly.

6.916317

7.28472

6.973377

7.257744

7.111747

7.252684

6.708833

6.66995

6.824924

7.544507

6.939951

6.934817

6.860134

6.733522

6.839556

6.754887

6.867571

6.684364

6.93643

6.863057

6.805407

2006.06022

Max Guillen

Notes on the 11D pure spinor wordline vertex operators

16 pages. Added reference. Small modification to the published version

null

hep-th

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

The construction of the ghost number zero and one vertex operators for the 11D pure spinor superparticle will be revisited. In this sense, an alternative way of defining the ghost number one vertex operator will be given after introducing a ghost number -2 operator made out of physical operators defined on the 11D non-minimal pure spinor superspace. This procedure will make explicit and transparent the relation between the ghost number three and one vertex operators. In addition, using a non-Lorentz covariant b-ghost, ghost number zero and two vertex operators satisfying standard descent equations will be presented in full form.

[ { "created": "Wed, 10 Jun 2020 18:15:56 GMT", "version": "v1" }, { "created": "Tue, 4 Aug 2020 03:56:22 GMT", "version": "v2" }, { "created": "Tue, 27 Dec 2022 23:49:33 GMT", "version": "v3" } ]

2022-12-29

[ [ "Guillen", "Max", "" ] ]

The construction of the ghost number zero and one vertex operators for the 11D pure spinor superparticle will be revisited. In this sense, an alternative way of defining the ghost number one vertex operator will be given after introducing a ghost number -2 operator made out of physical operators defined on the 11D non-minimal pure spinor superspace. This procedure will make explicit and transparent the relation between the ghost number three and one vertex operators. In addition, using a non-Lorentz covariant b-ghost, ghost number zero and two vertex operators satisfying standard descent equations will be presented in full form.

11.654493

10.156417

12.423048

10.445212

10.881566

10.358974

9.962515

10.092711

10.552078

13.680564

10.002454

10.484877

12.031006

11.179404

11.013213

10.537144

10.506384

11.087658

10.893432

12.081746

10.50113

hep-th/9406172

Ulrich Meyer

Quantum determinants

5 pages

null

DAMTP/94-54

hep-th math.QA

null

We show how to construct central and grouplike quantum determinants for FRT algebras A(R). As an application of the general construction we give a quantum determinant for the q-Lorentz group.

[ { "created": "Sun, 26 Jun 1994 14:23:04 GMT", "version": "v1" } ]

2008-02-03

[ [ "Meyer", "Ulrich", "" ] ]

We show how to construct central and grouplike quantum determinants for FRT algebras A(R). As an application of the general construction we give a quantum determinant for the q-Lorentz group.

16.129698

15.243814

19.164957

15.625713

19.304966

16.630363

18.7314

18.791414

17.108627

18.439257

15.627975

16.838493

16.704142

15.555152

17.493073

16.768164

15.675419

17.289322

15.804556

16.608643

14.874702

1810.10189

Bo-Qiang Ma

Hefu Yu, Bo-Qiang Ma

Origin of fermion generations from extended noncommutative geometry

17 latex pages, no figure. Final version for publication

Int. J. Mod. Phys. A 33 (2018) 1850168

10.1142/S0217751X18501683

null

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

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

We propose a way to understand the 3 fermion generations by the algebraic structures of noncommutative geometry, which is a promising framework to unify the standard model and general relativity. We make the tensor product extension and the quaternion extension on the framework. Each of the two extensions alone keeps the action invariant, and we consider them as the almost trivial structures of the geometry. We combine the two extensions, and show the corresponding physical effects, i.e., the emergence of 3 fermion generations and the mass relationships among those generations. We define the coordinate fiber space of the bundle of the manifold as the space in which the classical noncommutative geometry is expressed, then the tensor product extension explicitly shows the contribution of structures in the non-coordinate base space of the bundle to the action. The quaternion extension plays an essential role to reveal the physical effect of the structure in the non-coordinate base space.

[ { "created": "Wed, 24 Oct 2018 05:11:34 GMT", "version": "v1" } ]

2018-10-30

[ [ "Yu", "Hefu", "" ], [ "Ma", "Bo-Qiang", "" ] ]

We propose a way to understand the 3 fermion generations by the algebraic structures of noncommutative geometry, which is a promising framework to unify the standard model and general relativity. We make the tensor product extension and the quaternion extension on the framework. Each of the two extensions alone keeps the action invariant, and we consider them as the almost trivial structures of the geometry. We combine the two extensions, and show the corresponding physical effects, i.e., the emergence of 3 fermion generations and the mass relationships among those generations. We define the coordinate fiber space of the bundle of the manifold as the space in which the classical noncommutative geometry is expressed, then the tensor product extension explicitly shows the contribution of structures in the non-coordinate base space of the bundle to the action. The quaternion extension plays an essential role to reveal the physical effect of the structure in the non-coordinate base space.

13.592577

14.828201

12.694654

12.265227

13.859655

14.704899

14.815868

13.514041

13.316032

15.156993

13.433814

14.268007

13.752181

13.332796

13.393525

13.911798

13.971539

13.501942

13.033401

13.292265

13.466681

2205.01765

Osvaldo Chandia

Osvaldo Chandia, Brenno Carlini Vallilo

Superspaces for heterotic pure spinor string compactifications

19 pages, latex

null

10.1140/epjc/s10052-022-10947-0

null

hep-th

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

We study supersymmetry conditions for the heterotic pure superstring preserving and N=1 supersymmetry in four dimensions directly from the curved superspace defined by the Berkovits-Howe constraints.

[ { "created": "Tue, 3 May 2022 20:19:18 GMT", "version": "v1" } ]

2022-11-08

[ [ "Chandia", "Osvaldo", "" ], [ "Vallilo", "Brenno Carlini", "" ] ]

We study supersymmetry conditions for the heterotic pure superstring preserving and N=1 supersymmetry in four dimensions directly from the curved superspace defined by the Berkovits-Howe constraints.

21.120203

17.129921

22.529144

16.844545

15.002684

18.01358

19.716475

18.103741

18.322979

26.68503

20.866167

18.73827

21.484953

17.998983

19.556881

17.104231

19.947027

18.501366

18.182503

20.860502

17.344618

hep-th/9810257

Anton Kapustin

Micha Berkooz and Anton Kapustin

New IR Dualities in Supersymmetric Gauge Theory in Three Dimensions

15 pages, harvmac, 1 embedded ps figure; a reference has been added

JHEP 9902 (1999) 009

10.1088/1126-6708/1999/02/009

IASSNS-HEP-98/89

hep-th

null

We present nontrivial examples of d=3 gauge theories with sixteen and eight supercharges which are infrared dual at special points in the moduli space. This duality is distinct from mirror symmetry. To demonstrate duality we construct the gauge theories of interest using D2-branes and orientifolds and then consider their lift to M-theory. We also discuss the strong coupling limit of orientifold two-planes and orbifolds of orientifold six-planes.

[ { "created": "Fri, 30 Oct 1998 21:48:14 GMT", "version": "v1" }, { "created": "Mon, 30 Nov 1998 14:45:51 GMT", "version": "v2" } ]

2009-10-31

[ [ "Berkooz", "Micha", "" ], [ "Kapustin", "Anton", "" ] ]

We present nontrivial examples of d=3 gauge theories with sixteen and eight supercharges which are infrared dual at special points in the moduli space. This duality is distinct from mirror symmetry. To demonstrate duality we construct the gauge theories of interest using D2-branes and orientifolds and then consider their lift to M-theory. We also discuss the strong coupling limit of orientifold two-planes and orbifolds of orientifold six-planes.

11.16455

9.174403

13.748968

9.028582

9.174541

10.515679

10.471793

9.492777

8.901909

11.382067

9.846512

10.115974

11.216732

9.557782

10.287649

9.938563

9.829885

10.002294

9.663688

12.286265

9.918674

2202.08290

Yi Pang

Liang Ma, Yi Pang, H. Lu

Improved Wald formalism and First Law of Dyonic Black Strings with Mixed Chern-Simons Terms

Latex, 27 pages, adding discussions on attractor mechanism, to appear in JHEP

JHEP10(2022)142

10.1007/JHEP10(2022)142

null

hep-th gr-qc

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

We study the first law of thermodynamics of dyonic black strings carrying a linear momentum in type IIA string theory compactified on K3 with leading order $\alpha'$ corrections. The low energy effective action contains mixed Chern-Simons terms of the form $-2B_{(2)}\wedge {\rm tr}(R(\Gamma_\pm)\wedge R(\Gamma_\pm))$ which is equivalent to $2H_{(3)}\wedge \mathrm{CS}_{(3)}(\Gamma_\pm)$ up to a total derivative. We find that the naive application of Wald entropy formula leads to two different answers associated with the two formulations of the mixed Chern-Simons terms. Surprisingly, neither of them satisfies the first law of thermodynamics for other conserved charges computed unambiguously using the standard methods. We resolve this problem by carefully evaluating the full infinitesimal Hamiltonian at both infinity and horizon, including contributions from terms proportional to the Killing vector which turn out to be nonvanishing on the horizon and indispensable to establish the first law. We find that the infinitesimal Hamiltionian associated with $-2B_{(2)}\wedge {\rm tr}(R(\Gamma_\pm)\wedge R(\Gamma_\pm))$ requires an improvement via adding a closed but non-exact term, which vanishes when the string does not carry either the magnetic charge or linear momentum. Consequently, both formulations of the mixed Chern-Simons terms yield the same result of the entropy that however does not agree with the Wald entropy formula. In the case of extremal black strings, we also contrast our result with the one obtained from Sen's approach.

[ { "created": "Wed, 16 Feb 2022 19:00:10 GMT", "version": "v1" }, { "created": "Tue, 24 May 2022 23:41:08 GMT", "version": "v2" }, { "created": "Mon, 10 Oct 2022 01:44:15 GMT", "version": "v3" } ]

2022-10-24

[ [ "Ma", "Liang", "" ], [ "Pang", "Yi", "" ], [ "Lu", "H.", "" ] ]

We study the first law of thermodynamics of dyonic black strings carrying a linear momentum in type IIA string theory compactified on K3 with leading order $\alpha'$ corrections. The low energy effective action contains mixed Chern-Simons terms of the form $-2B_{(2)}\wedge {\rm tr}(R(\Gamma_\pm)\wedge R(\Gamma_\pm))$ which is equivalent to $2H_{(3)}\wedge \mathrm{CS}_{(3)}(\Gamma_\pm)$ up to a total derivative. We find that the naive application of Wald entropy formula leads to two different answers associated with the two formulations of the mixed Chern-Simons terms. Surprisingly, neither of them satisfies the first law of thermodynamics for other conserved charges computed unambiguously using the standard methods. We resolve this problem by carefully evaluating the full infinitesimal Hamiltonian at both infinity and horizon, including contributions from terms proportional to the Killing vector which turn out to be nonvanishing on the horizon and indispensable to establish the first law. We find that the infinitesimal Hamiltionian associated with $-2B_{(2)}\wedge {\rm tr}(R(\Gamma_\pm)\wedge R(\Gamma_\pm))$ requires an improvement via adding a closed but non-exact term, which vanishes when the string does not carry either the magnetic charge or linear momentum. Consequently, both formulations of the mixed Chern-Simons terms yield the same result of the entropy that however does not agree with the Wald entropy formula. In the case of extremal black strings, we also contrast our result with the one obtained from Sen's approach.

7.059895

7.56673

7.385962

7.059864

7.349485

7.863817

7.817573

7.217569

7.016209

7.500061

6.852986

7.069576

7.128489

6.961809

6.917199

7.150167

6.841829

6.975417

6.96864

7.189304

7.008852

0808.1114

Matthias Kaminski

Holographic quark gluon plasma with flavor

45 figures, 166 pages

Fortsch.Phys.57:3-148,2009

10.1002/prop.200810571

MPP-2008-94

hep-th hep-ph nucl-th

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

In this work I explore theoretical and phenomenological implications of chemical potentials and charge densities inside a strongly coupled thermal plasma, using the gauge/gravity correspondence. Strong coupling effects discovered in this model theory are interpreted geometrically and may be taken as qualitative predictions for heavy ion collisions at RHIC and LHC. In particular I examine the thermodynamics, spectral functions, transport coefficients and the phase diagram of the strongly coupled plasma. For example stable mesons, which are the analogs of the QCD Rho-mesons, are found to survive beyond the deconfinement transition. This paper is based on partly unpublished work performed in the context of my PhD thesis. New results and ideas extending significantly beyond those published until now are stressed.

[ { "created": "Thu, 7 Aug 2008 20:26:42 GMT", "version": "v1" } ]

2009-07-22

[ [ "Kaminski", "Matthias", "" ] ]

In this work I explore theoretical and phenomenological implications of chemical potentials and charge densities inside a strongly coupled thermal plasma, using the gauge/gravity correspondence. Strong coupling effects discovered in this model theory are interpreted geometrically and may be taken as qualitative predictions for heavy ion collisions at RHIC and LHC. In particular I examine the thermodynamics, spectral functions, transport coefficients and the phase diagram of the strongly coupled plasma. For example stable mesons, which are the analogs of the QCD Rho-mesons, are found to survive beyond the deconfinement transition. This paper is based on partly unpublished work performed in the context of my PhD thesis. New results and ideas extending significantly beyond those published until now are stressed.

12.714799

13.01972

11.91321

11.795527

13.084347

12.968392

13.490998

12.347398

12.08781

12.895798

12.397298

12.0353

11.539256

11.636992

12.26967

12.042237

11.968779

11.83602

11.923538

11.807361

11.732537

hep-th/0502162

Gregory Jones

Dumitru Astefanesei, Gregory C. Jones

S-branes and (Anti-)Bubbles in (A)dS Space

35 pages, 12 figures. V2: JHEP style, expanded references

JHEP 0506 (2005) 037

10.1088/1126-6708/2005/06/037

HUTP-05/A0007

hep-th

null

We describe the construction of new locally asymptotically (A)dS geometries with relevance for the AdS/CFT and dS/CFT correspondences. Our approach is to obtain new solutions by analytically continuing black hole solutions. A basic consideration of the method of continuation indicates that these solutions come in three classes: S-branes, bubbles and anti-bubbles. A generalization to spinning or twisted solutions can yield spacetimes with complicated horizon structures. Interestingly enough, several of these spacetimes are nonsingular.

[ { "created": "Thu, 17 Feb 2005 22:00:14 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 2005 16:37:49 GMT", "version": "v2" } ]

2009-11-11

[ [ "Astefanesei", "Dumitru", "" ], [ "Jones", "Gregory C.", "" ] ]

We describe the construction of new locally asymptotically (A)dS geometries with relevance for the AdS/CFT and dS/CFT correspondences. Our approach is to obtain new solutions by analytically continuing black hole solutions. A basic consideration of the method of continuation indicates that these solutions come in three classes: S-branes, bubbles and anti-bubbles. A generalization to spinning or twisted solutions can yield spacetimes with complicated horizon structures. Interestingly enough, several of these spacetimes are nonsingular.

15.499415

14.318579

15.339593

13.24663

12.188737

12.671988

13.708041

12.579201

13.339699

16.211382

13.191371

13.575356

13.974544

13.017508

13.334977

13.303973

13.332638

13.466845

12.829307

14.466825

13.316683

2011.13870

Jakob Salzer

Daniel Grumiller, Jelle Hartong, Stefan Prohazka, Jakob Salzer

Limits of JT gravity

41 pages, 3 figures, 1 table; v2: Matches published version + Footnote 11; v3: Corrected typo in Carrollian/Galilean generalized dilaton potential

JHEP 02 (2021) 134

10.1007/JHEP02(2021)134

TUW--20--05

hep-th gr-qc

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

We construct various limits of JT gravity, including Newton-Cartan and Carrollian versions of dilaton gravity in two dimensions as well as a theory on the three-dimensional light cone. In the BF formulation our boundary conditions relate boundary connection with boundary scalar, yielding as boundary action the particle action on a group manifold or some Hamiltonian reduction thereof. After recovering in our formulation the Schwarzian for JT, we show that AdS-Carroll gravity yields a twisted warped boundary action. We comment on numerous applications and generalizations.

[ { "created": "Fri, 27 Nov 2020 17:50:58 GMT", "version": "v1" }, { "created": "Tue, 9 Mar 2021 11:48:00 GMT", "version": "v2" }, { "created": "Fri, 4 Feb 2022 10:47:13 GMT", "version": "v3" } ]

2022-02-07

[ [ "Grumiller", "Daniel", "" ], [ "Hartong", "Jelle", "" ], [ "Prohazka", "Stefan", "" ], [ "Salzer", "Jakob", "" ] ]

We construct various limits of JT gravity, including Newton-Cartan and Carrollian versions of dilaton gravity in two dimensions as well as a theory on the three-dimensional light cone. In the BF formulation our boundary conditions relate boundary connection with boundary scalar, yielding as boundary action the particle action on a group manifold or some Hamiltonian reduction thereof. After recovering in our formulation the Schwarzian for JT, we show that AdS-Carroll gravity yields a twisted warped boundary action. We comment on numerous applications and generalizations.

28.957142

26.956249

29.676113

25.112513

27.425007

25.709326

27.598446

25.093063

23.821573

34.287029

25.609016

25.620321

29.114202

27.286379

26.106022

24.785244

27.153872

25.412354

26.430496

28.516781

25.538465

1310.6006

Mads Sogaard

Mads Sogaard, Yang Zhang

Multivariate Residues and Maximal Unitarity

34 pages, 3 figures

JHEP 1312 (2013) 008

10.1007/JHEP12(2013)008

null

hep-th

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

We extend the maximal unitarity method to amplitude contributions whose cuts define multidimensional algebraic varieties. The technique is valid to all orders and is explicitly demonstrated at three loops in gauge theories with any number of fermions and scalars in the adjoint representation. Deca-cuts realized by replacement of real slice integration contours by higher-dimensional tori encircling the global poles are used to factorize the planar triple box onto a product of trees. We apply computational algebraic geometry and multivariate complex analysis to derive unique projectors for all master integral coefficients and obtain compact analytic formulae in terms of tree-level data.

[ { "created": "Tue, 22 Oct 2013 18:41:29 GMT", "version": "v1" } ]

2014-06-20

[ [ "Sogaard", "Mads", "" ], [ "Zhang", "Yang", "" ] ]

We extend the maximal unitarity method to amplitude contributions whose cuts define multidimensional algebraic varieties. The technique is valid to all orders and is explicitly demonstrated at three loops in gauge theories with any number of fermions and scalars in the adjoint representation. Deca-cuts realized by replacement of real slice integration contours by higher-dimensional tori encircling the global poles are used to factorize the planar triple box onto a product of trees. We apply computational algebraic geometry and multivariate complex analysis to derive unique projectors for all master integral coefficients and obtain compact analytic formulae in terms of tree-level data.

23.260229

23.906679

25.42499

19.835169

21.558601

23.830072

23.431849

22.567007

21.321562

24.460812

19.960991

21.955587

21.636755

21.547377

22.905695

22.400782

22.871599

21.016455

21.074446

22.589727

21.104704

1503.01462

Taro Kimura

Linking loops in ABJM and refined theory

1+24 pages; references added, typos corrected

JHEP 07 (2015) 030

10.1007/JHEP07(2015)030

IPHT-T15/020, RIKEN-MP-110

hep-th

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

We consider the link average of the half-BPS Wilson loop operators in N = 6 superconformal Chern-Simons-matter theory, which is called ABJM theory. We show that this loop average is reduced to a (super)matrix integral by the localization method, in a similar way to the bosonic U(N) Chern-Simons theory. Using this matrix integral, we compute the two- and three-link averages with an operator formalism inspired by a three-dimensional topological field theory. We obtain a factorization of the link average, and the Verlinde formula in a sector of supergroup representations. We also propose a refined version of ABJM theory, and compute some refined link averages.

[ { "created": "Wed, 4 Mar 2015 21:00:10 GMT", "version": "v1" }, { "created": "Mon, 15 Jun 2015 13:00:23 GMT", "version": "v2" } ]

2015-07-15

[ [ "Kimura", "Taro", "" ] ]

We consider the link average of the half-BPS Wilson loop operators in N = 6 superconformal Chern-Simons-matter theory, which is called ABJM theory. We show that this loop average is reduced to a (super)matrix integral by the localization method, in a similar way to the bosonic U(N) Chern-Simons theory. Using this matrix integral, we compute the two- and three-link averages with an operator formalism inspired by a three-dimensional topological field theory. We obtain a factorization of the link average, and the Verlinde formula in a sector of supergroup representations. We also propose a refined version of ABJM theory, and compute some refined link averages.

7.189952

7.675223

9.881159

7.501184

7.840126

7.473542

7.866088

7.348517

7.365192

9.588339

7.430072

7.13366

8.440378

7.338245

7.177837

6.801521

7.385216

7.037457

7.329275

8.125678

7.503071

2212.07901

Sven Bjarke Gudnason

Johan Bijnens, Sven Bjarke Gudnason, Jiahui Yu, Tiantian Zhang

Hilbert series and higher-order Lagrangians for the $O(N)$ model

LaTeX: 26+32 pages, 17 tables; V2: published version

JHEP 2305:61, 2023

10.1007/JHEP05(2023)061

LU TP 22-65

hep-th hep-ph

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

We compare the Hilbert series approach with explicit constructions of higher-order Lagrangians for the $O(N)$ nonlinear sigma model. We use the Hilbert series to find the number and type of operators up to mass dimension 16, for spacetime dimension $D$ up to 12 and $N$ up to 12, and further classify the operators into spacetime parity and parity of the internal symmetry group $O(N)$. The explicit construction of operators is done up to mass dimension 12 for both parities even and dimension 10 for the other three cases. The results of the two methods are in full agreement. This provides evidence for the Hilbert series conjecture regarding co-closed but not co-exact $k$-forms, which takes into account the integration-by-parts relations.

[ { "created": "Thu, 15 Dec 2022 15:36:26 GMT", "version": "v1" }, { "created": "Wed, 10 May 2023 07:44:09 GMT", "version": "v2" } ]

2023-05-12

[ [ "Bijnens", "Johan", "" ], [ "Gudnason", "Sven Bjarke", "" ], [ "Yu", "Jiahui", "" ], [ "Zhang", "Tiantian", "" ] ]

We compare the Hilbert series approach with explicit constructions of higher-order Lagrangians for the $O(N)$ nonlinear sigma model. We use the Hilbert series to find the number and type of operators up to mass dimension 16, for spacetime dimension $D$ up to 12 and $N$ up to 12, and further classify the operators into spacetime parity and parity of the internal symmetry group $O(N)$. The explicit construction of operators is done up to mass dimension 12 for both parities even and dimension 10 for the other three cases. The results of the two methods are in full agreement. This provides evidence for the Hilbert series conjecture regarding co-closed but not co-exact $k$-forms, which takes into account the integration-by-parts relations.

9.61209

11.917897

8.873556

8.827892

10.362106

10.682441

10.445275

9.565763

9.161446

10.10093

9.351366

9.834762

8.749803

8.846334

9.625687

9.370793

9.337551

9.195386

8.877215

8.540116

9.030974

hep-th/0407017

Razvan Teodorescu

R. Teodorescu, E. Bettelheim, O. Agam, A. Zabrodin, P. Wiegmann

Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy

14 pages

Nucl.Phys. B700 (2004) 521-532

10.1016/j.nuclphysb.2004.08.013

null

hep-th cond-mat.mes-hall math-ph math.MP nlin.SI

null

We continue the analysis of the spectral curve of the normal random matrix ensemble, introduced in an earlier paper. Evolution of the full quantum curve is given in terms of compatibility equations of independent flows. The semiclassical limit of these flows is expressed through canonical differential forms of the spectral curve. We also prove that the semiclassical limit of the evolution equations is equivalent to Whitham hierarchy.

[ { "created": "Fri, 2 Jul 2004 16:43:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Teodorescu", "R.", "" ], [ "Bettelheim", "E.", "" ], [ "Agam", "O.", "" ], [ "Zabrodin", "A.", "" ], [ "Wiegmann", "P.", "" ] ]

We continue the analysis of the spectral curve of the normal random matrix ensemble, introduced in an earlier paper. Evolution of the full quantum curve is given in terms of compatibility equations of independent flows. The semiclassical limit of these flows is expressed through canonical differential forms of the spectral curve. We also prove that the semiclassical limit of the evolution equations is equivalent to Whitham hierarchy.

13.41678

11.822419

16.868469

12.117172

13.103799

12.464816

14.141351

12.417496

12.273911

16.824348

12.901634

12.779911

13.693283

12.637913

12.988067

12.389727

12.399092

12.679598

12.962349

13.913824

12.508813

1508.02359

Larry Ford

Christopher J. Fewster and L. H. Ford

Probability Distributions for Quantum Stress Tensors Measured in a Finite Time Interval

28 pages, 9 figures

Phys. Rev. D 92, 105008 (2015)

10.1103/PhysRevD.92.105008

null

hep-th gr-qc quant-ph

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

A meaningful probability distribution for measurements of a quantum stress tensor operator can only be obtained if the operator is averaged in time or in spacetime. This averaging can be regarded as a description of the measurement process. Realistic measurements can be expected to begin and end at finite times, which means that they are described by functions with compact support, which we will also take to be smooth. Here we study the probability distributions for stress tensor operators averaged with such functions of time, in the vacuum state of a massless free field. Our primary aim is to understand the asymptotic form of the distribution which describes the probability of large vacuum fluctuations. Our approach involves asymptotic estimates for the high moments of the distribution. These estimates in turn may be used to obtain estimates for the asymptotic form of the probability distribution. Our results show that averaging over a finite interval results in a probability distribution which falls more slowly than for the case of Lorentzian averaging, and both fall more slowly than exponentially. This indicates that vacuum fluctuations effects can dominate over thermal fluctuations in some circumstances.

[ { "created": "Mon, 10 Aug 2015 19:10:50 GMT", "version": "v1" } ]

2015-11-11

[ [ "Fewster", "Christopher J.", "" ], [ "Ford", "L. H.", "" ] ]

A meaningful probability distribution for measurements of a quantum stress tensor operator can only be obtained if the operator is averaged in time or in spacetime. This averaging can be regarded as a description of the measurement process. Realistic measurements can be expected to begin and end at finite times, which means that they are described by functions with compact support, which we will also take to be smooth. Here we study the probability distributions for stress tensor operators averaged with such functions of time, in the vacuum state of a massless free field. Our primary aim is to understand the asymptotic form of the distribution which describes the probability of large vacuum fluctuations. Our approach involves asymptotic estimates for the high moments of the distribution. These estimates in turn may be used to obtain estimates for the asymptotic form of the probability distribution. Our results show that averaging over a finite interval results in a probability distribution which falls more slowly than for the case of Lorentzian averaging, and both fall more slowly than exponentially. This indicates that vacuum fluctuations effects can dominate over thermal fluctuations in some circumstances.

9.483244

8.93634

9.478387

9.236672

9.224445

9.577625

9.789152

9.400548

9.148343

10.471125

8.917518

9.21024

9.064372

9.008125

9.29887

9.444942

9.15202

9.286061

9.23258

9.247996

8.844693

hep-th/9605215

null

Francesco Fucito and Gabriele Travaglini

Instanton Calculus and Nonperturbative Relations in N=2 Supersymmetric Gauge Theories

18 pages, latex file, no figures

Phys.Rev. D55 (1997) 1099-1104

10.1103/PhysRevD.55.1099

ROM2F-96-32

hep-th

null

Using instanton calculus we check, in the weak coupling region, the nonperturbative relation $$ <\Tr\phi^2>=i\pi\left(\cf-{a\over 2} {\partial\cf\over\partial a}\right)$$ obtained for a N=2 globally supersymmetric gauge theory. Our computations are performed for instantons of winding number k, up to k=2 and turn out to agree with previous nonperturbative results.

[ { "created": "Thu, 30 May 1996 14:28:28 GMT", "version": "v1" } ]

2009-10-30

[ [ "Fucito", "Francesco", "" ], [ "Travaglini", "Gabriele", "" ] ]

Using instanton calculus we check, in the weak coupling region, the nonperturbative relation $$ <\Tr\phi^2>=i\pi\left(\cf-{a\over 2} {\partial\cf\over\partial a}\right)$$ obtained for a N=2 globally supersymmetric gauge theory. Our computations are performed for instantons of winding number k, up to k=2 and turn out to agree with previous nonperturbative results.

12.514994

10.420575

11.596307

10.192719

10.782385

10.235578

11.743546

10.633982

10.922713

11.896012

10.308047

10.245456

11.428408

10.380127

10.426892

10.30513

10.1928

9.90865

10.454364

11.790991

10.033024

1410.1616

Zheng-Wen Liu

Soft theorems in maximally supersymmetric theories

typos fixed, citations updated/added; 25+5 pages

Eur. Phys. J. C75 (2015) 105

10.1140/epjc/s10052-015-3304-1

null

hep-th

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

In this paper we study the supersymmetric generalization of the new soft theorem which was proposed by Cachazo and Strominger recently. At tree level, we prove the validity of the super soft theorems in both ${\cal N}=4$ super-Yang-Mills theory and ${\cal N}=8$ supergravity using super-BCFW recursion relations. We verify these theorems exactly by showing some examples.

[ { "created": "Tue, 7 Oct 2014 05:01:27 GMT", "version": "v1" }, { "created": "Wed, 5 Nov 2014 12:44:56 GMT", "version": "v2" }, { "created": "Sun, 8 Mar 2015 14:14:59 GMT", "version": "v3" } ]

2015-03-10

[ [ "Liu", "Zheng-Wen", "" ] ]

In this paper we study the supersymmetric generalization of the new soft theorem which was proposed by Cachazo and Strominger recently. At tree level, we prove the validity of the super soft theorems in both ${\cal N}=4$ super-Yang-Mills theory and ${\cal N}=8$ supergravity using super-BCFW recursion relations. We verify these theorems exactly by showing some examples.

5.715795

4.947878

6.698845

4.805453

4.995077

4.917125

4.821985

5.154278

4.634582

5.810299

4.830698

4.818159

5.498139

5.264588

4.951883

5.146156

5.183285

4.916157

5.110016

5.65045

5.158961

hep-th/0110228

Ali Havare

K.Sogut, A.Havare, I.Acikgoz

Energy Levels and Wave Functions of Vector Bosons in Homogeneous Magnetic Field

13 pages, no figures

J.Math.Phys.43:3952-3962,2002

10.1063/1.1489502

null

hep-th

null

We aimed to obtain the energy levels of spin-1 particles moving in a constant magnetic field. The method used here is completely algebraic. In the process to obtain the energy levels the wave function is choosen in terms of Laguerre Polynomials.

[ { "created": "Wed, 24 Oct 2001 22:48:03 GMT", "version": "v1" } ]

2008-11-26

[ [ "Sogut", "K.", "" ], [ "Havare", "A.", "" ], [ "Acikgoz", "I.", "" ] ]

We aimed to obtain the energy levels of spin-1 particles moving in a constant magnetic field. The method used here is completely algebraic. In the process to obtain the energy levels the wave function is choosen in terms of Laguerre Polynomials.

12.805892

11.031435

11.623248

11.52472

11.204101

10.938313

10.944487

11.632264

10.532962

11.17335

11.628199

11.958211

11.810026

11.467717

11.929211

11.608293

11.343222

12.402897

11.41223

11.439342

12.133578

hep-th/0603040

Alexander A. Chernitskii

Mass, spin, charge, and magnetic moment for electromagnetic particle

5 pages, talk given at XI Advanced Research Workshop on High Energy Spin Physics, September 27 - October 1, 2005, Dubna, Russia

XI Advanced Research Workshop on High Energy Spin Physics (DUBNA-SPIN-05) Proceedings, edited by A.V. Efremov and S.V. Goloskokov, JINR, Dubna, 2006, pp. 234-239.

null

hep-th

null

Electromagnetic particle is considered as appropriate particle solution of nonlinear electrodynamics. Mass, spin, charge, and dipole moment for the electromagnetic particle are defined. Classical motion equations for massive charged particle with spin and dipole moment are obtained from integral conservation laws for the field.

[ { "created": "Mon, 6 Mar 2006 15:14:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chernitskii", "Alexander A.", "" ] ]

Electromagnetic particle is considered as appropriate particle solution of nonlinear electrodynamics. Mass, spin, charge, and dipole moment for the electromagnetic particle are defined. Classical motion equations for massive charged particle with spin and dipole moment are obtained from integral conservation laws for the field.

16.149334

13.40976

14.118625

14.201854

12.85539

13.587755

15.640443

14.239448

14.566388

17.680101

13.477952

13.26779

15.057765

14.380729

15.439523

14.057877

14.379697

13.616952

14.575715

15.510254

12.559044

hep-th/0108229

Peter Mayr

P. Mayr

N=1 Mirror Symmetry and Open/Closed String Duality

harvmac, 29 pages (b), 3 figures; v2: references added

Adv.Theor.Math.Phys.5:213-242,2002

null

CERN-TH/2001-230

hep-th

null

We show that the exact N=1 superpotential of a class of 4d string compactifications is computed by the closed topological string compactified to two dimensions. A relation to the open topological string is used to define a special geometry for N=1 mirror symmetry. Flat coordinates, an N=1 mirror map for chiral multiplets and the exact instanton corrected superpotential are obtained from the periods of a system of differential equations. The result points to a new class of open/closed string dualities which map individual string world-sheets with boundary to ones without. It predicts an mathematically unexpected coincidence of the closed string Gromov-Witten invariants of one Calabi-Yau geometry with the open string invariants of the dual Calabi-Yau.

[ { "created": "Thu, 30 Aug 2001 19:21:32 GMT", "version": "v1" }, { "created": "Tue, 13 Nov 2001 21:09:25 GMT", "version": "v2" } ]

2010-11-19

[ [ "Mayr", "P.", "" ] ]

We show that the exact N=1 superpotential of a class of 4d string compactifications is computed by the closed topological string compactified to two dimensions. A relation to the open topological string is used to define a special geometry for N=1 mirror symmetry. Flat coordinates, an N=1 mirror map for chiral multiplets and the exact instanton corrected superpotential are obtained from the periods of a system of differential equations. The result points to a new class of open/closed string dualities which map individual string world-sheets with boundary to ones without. It predicts an mathematically unexpected coincidence of the closed string Gromov-Witten invariants of one Calabi-Yau geometry with the open string invariants of the dual Calabi-Yau.

9.710035

9.753343

12.118268

9.601128

10.943542

10.189624

10.184197

9.434972

9.610868

11.207137

9.801045

9.741395

10.408788

9.49918

9.640069

9.771218

9.588769

9.310649

9.500776

9.992723

9.311566

2207.09834

Mohammad R. Garousi

Mohammad R. Garousi, Saman Karimi

Couplings of order six in the gauge field strength and the second fundamental form on a D$_p$-brane at order $\alpha'^2$

27 pages, latex file, no figure; it appears in PRD

null

10.1103/PhysRevD.106.066016

null

hep-th

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

Using the assumption that the independent gauge invariant couplings on the world-volume of the non-perturbative objects in the string theory are independent of the background, we find the four and the six gauge field strength and/or the second fundamental form couplings on the world volume of a D$_p$-brane in the superstring theory at order $\alpha'^2$ in the normalization that $F$ is dimensionless. We have found them by considering the particular background which has one circle and by imposing the corresponding T-duality constraint on the independent couplings. In particular, we find that there are 12+146 independent gauge invariant couplings at this order, and the T-duality constraint can fix 150 of them. We show that these couplings are fully consistent with the partial results in the literature. This comparison also fixes the remaining 8 couplings.

[ { "created": "Wed, 20 Jul 2022 11:40:29 GMT", "version": "v1" }, { "created": "Mon, 12 Sep 2022 04:38:54 GMT", "version": "v2" } ]

2022-10-05

[ [ "Garousi", "Mohammad R.", "" ], [ "Karimi", "Saman", "" ] ]

Using the assumption that the independent gauge invariant couplings on the world-volume of the non-perturbative objects in the string theory are independent of the background, we find the four and the six gauge field strength and/or the second fundamental form couplings on the world volume of a D$_p$-brane in the superstring theory at order $\alpha'^2$ in the normalization that $F$ is dimensionless. We have found them by considering the particular background which has one circle and by imposing the corresponding T-duality constraint on the independent couplings. In particular, we find that there are 12+146 independent gauge invariant couplings at this order, and the T-duality constraint can fix 150 of them. We show that these couplings are fully consistent with the partial results in the literature. This comparison also fixes the remaining 8 couplings.

12.431517

10.983517

12.197151

11.189839

10.849539

10.594787

11.055453

10.507539

10.751234

13.594745

10.012977

11.034765

12.005188

11.207539

11.193933

10.89626

11.271764

10.952655

11.103559

11.653543

11.109935

0909.3952

Tsunehide Kuroki

Tsunehide Kuroki and Fumihiko Sugino

Spontaneous supersymmetry breaking in large-$N$ matrix models with slowly varying potential

46 pages, LaTeX

null

10.1016/j.nuclphysb.2009.12.021

OIQP-09-10

hep-th

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

We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size $N$ infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantum mechanics. The potential of the models is slowly varying, and the large-$N$ limit is taken with the slowly varying limit. First, we explain our formalism, introducing an external field to detect spontaneous SUSY breaking, analogously to ordinary (bosonic) symmetry breaking. It is observed that SUSY is possibly broken even in systems in less than one-dimension, for example, discretized quantum mechanics with a finite number of discretized time steps. Then, we consider spontaneous SUSY breaking in the SUSY matrix models with slowly varying potential, where the external field is turned off after the large-$N$ and slowly varying limit, analogously to the thermodynamic limit in statistical systems. On the other hand, without taking the slowly varying limit, in the SUSY matrix model with a double-well potential whose SUSY is broken due to instantons for finite $N$, a number of supersymmetric behavior is explicitly seen at large $N$. It convinces us that the instanton effect disappears and the SUSY gets restored in the large-$N$ limit.

[ { "created": "Tue, 22 Sep 2009 10:32:58 GMT", "version": "v1" } ]

2015-05-14

[ [ "Kuroki", "Tsunehide", "" ], [ "Sugino", "Fumihiko", "" ] ]

We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size $N$ infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantum mechanics. The potential of the models is slowly varying, and the large-$N$ limit is taken with the slowly varying limit. First, we explain our formalism, introducing an external field to detect spontaneous SUSY breaking, analogously to ordinary (bosonic) symmetry breaking. It is observed that SUSY is possibly broken even in systems in less than one-dimension, for example, discretized quantum mechanics with a finite number of discretized time steps. Then, we consider spontaneous SUSY breaking in the SUSY matrix models with slowly varying potential, where the external field is turned off after the large-$N$ and slowly varying limit, analogously to the thermodynamic limit in statistical systems. On the other hand, without taking the slowly varying limit, in the SUSY matrix model with a double-well potential whose SUSY is broken due to instantons for finite $N$, a number of supersymmetric behavior is explicitly seen at large $N$. It convinces us that the instanton effect disappears and the SUSY gets restored in the large-$N$ limit.

9.068877

9.336506

9.592155

8.9584

9.581149

9.777027

9.626606

9.360474

8.908673

10.206099

9.043843

8.997885

8.65729

8.756775

8.881976

9.157803

9.105408

8.886378

8.762665

9.119534

8.777146

2003.01056

Rolf Schimmrigk

Flux vacua and modularity

24 pages; extended version, added references, typos corrected

null

hep-th

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

Geometric modularity has recently been conjectured to be a characteristic feature for flux vacua with $W=0$. This paper provides support for the conjecture by computing motivic modular forms in a direct way for several string compactifications for which such vacua are known to exist. The analysis of some Calabi-Yau manifolds which do not admit supersymmetric flux vacua shows that the reverse of the conjecture does not hold.

[ { "created": "Mon, 2 Mar 2020 17:42:06 GMT", "version": "v1" }, { "created": "Wed, 7 Oct 2020 05:35:58 GMT", "version": "v2" } ]

2020-10-08

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

Geometric modularity has recently been conjectured to be a characteristic feature for flux vacua with $W=0$. This paper provides support for the conjecture by computing motivic modular forms in a direct way for several string compactifications for which such vacua are known to exist. The analysis of some Calabi-Yau manifolds which do not admit supersymmetric flux vacua shows that the reverse of the conjecture does not hold.

10.985269

9.679899

11.63535

9.949422

9.959044

9.71026

9.523272

9.2019

9.216149

11.24762

9.402663

8.444141

9.985048

8.788217

8.934479

8.997145

9.347912

8.863678

9.066454

9.282555

10.124494

1504.07556

Valentina Petkova

P. Furlan and V.B. Petkova

On some 3-point functions in the $W_4$ CFT and related braiding matrix

27 pages, TeX with harvmac; v2: Content substantially extended, new references added

null

10.1007/JHEP12(2015)079

null

hep-th

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

We construct a class of 3-point constants in the $sl(4)$ Toda conformal theory $W_4$, extending the examples in Fateev and Litvinov. Their knowledge allows to determine the braiding/fusing matrix transforming 4-point conformal blocks of one fundamental, labelled by the 6-dimensional $sl(4)$ representation, and three partially degenerate vertex operators. It is a $3 \times 3$ submatrix of the generic $6 \times 6$ fusing matrix consistent with the fusion rules for the particular class of representations. We check a braiding relation which has wider applications to conformal models with $sl(4)$ symmetry. The 3-point constants in dual regions of central charge are compared in preparation for a BPS like relation in the $\hat{sl}(4)$ WZW model.

[ { "created": "Tue, 28 Apr 2015 16:28:07 GMT", "version": "v1" }, { "created": "Mon, 19 Oct 2015 17:34:12 GMT", "version": "v2" } ]

2016-01-27

[ [ "Furlan", "P.", "" ], [ "Petkova", "V. B.", "" ] ]

We construct a class of 3-point constants in the $sl(4)$ Toda conformal theory $W_4$, extending the examples in Fateev and Litvinov. Their knowledge allows to determine the braiding/fusing matrix transforming 4-point conformal blocks of one fundamental, labelled by the 6-dimensional $sl(4)$ representation, and three partially degenerate vertex operators. It is a $3 \times 3$ submatrix of the generic $6 \times 6$ fusing matrix consistent with the fusion rules for the particular class of representations. We check a braiding relation which has wider applications to conformal models with $sl(4)$ symmetry. The 3-point constants in dual regions of central charge are compared in preparation for a BPS like relation in the $\hat{sl}(4)$ WZW model.

14.556868

16.06587

17.42305

14.383922

14.1443

16.327406

14.207253

15.192466

14.831129

20.740253

15.057195

13.859834

15.194242

13.961129

14.718108

14.418682

14.207194

13.705391

13.943283

15.086297

14.127463

2202.05116

Eugenia Colafranceschi

Eugenia Colafranceschi and Gerardo Adesso

Holographic entanglement in spin network states: a focused review

16 pages, 15 figures

AVS Quantum Sci. 4, 025901 (2022)

10.1116/5.0087122

null

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

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

In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to quantum information theory, such as entanglement, and constitutive features of gravity, like holography. Developing and promoting these connections from the conceptual to the operational level unlocks access to a powerful set of tools, which can be pivotal towards the formulation of a consistent theory of quantum gravity. Here, we review recent progress on the role and applications of quantum informational methods, in particular tensor networks, for quantum gravity models. We focus on spin network states dual to finite regions of space, represented as entanglement graphs in the group field theory approach to quantum gravity, and illustrate how techniques from random tensor networks can be exploited to investigate their holographic properties. In particular, spin network states can be interpreted as maps from bulk to boundary, whose holographic behaviour increases with the inhomogeneity of their geometric data (up to becoming proper quantum channels). The entanglement entropy of boundary states, which are obtained by feeding such maps with suitable bulk states, is then proved to follow a bulk area law, with corrections due to the entanglement of the bulk state. We further review how exceeding a certain threshold of bulk entanglement leads to the emergence of a black hole-like region, revealing intriguing perspectives for quantum cosmology.

[ { "created": "Thu, 10 Feb 2022 16:06:45 GMT", "version": "v1" }, { "created": "Fri, 24 Jun 2022 13:01:37 GMT", "version": "v2" } ]

2022-06-28

[ [ "Colafranceschi", "Eugenia", "" ], [ "Adesso", "Gerardo", "" ] ]

In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to quantum information theory, such as entanglement, and constitutive features of gravity, like holography. Developing and promoting these connections from the conceptual to the operational level unlocks access to a powerful set of tools, which can be pivotal towards the formulation of a consistent theory of quantum gravity. Here, we review recent progress on the role and applications of quantum informational methods, in particular tensor networks, for quantum gravity models. We focus on spin network states dual to finite regions of space, represented as entanglement graphs in the group field theory approach to quantum gravity, and illustrate how techniques from random tensor networks can be exploited to investigate their holographic properties. In particular, spin network states can be interpreted as maps from bulk to boundary, whose holographic behaviour increases with the inhomogeneity of their geometric data (up to becoming proper quantum channels). The entanglement entropy of boundary states, which are obtained by feeding such maps with suitable bulk states, is then proved to follow a bulk area law, with corrections due to the entanglement of the bulk state. We further review how exceeding a certain threshold of bulk entanglement leads to the emergence of a black hole-like region, revealing intriguing perspectives for quantum cosmology.

11.520894

13.141259

12.191577

11.1456

12.364252

12.892987

12.321661

11.175522

11.635905

11.937593

11.239175

11.421898

11.449126

10.960096

11.251573

11.1942

11.306609

11.269042

11.315838

11.354378

11.109625

hep-th/9909182

Axel Krause

Axel Krause (Humboldt U., Berlin)

Testing Stability of M-Theory on an S^1/Z_2 Orbifold

30 pages, 5 figures, several minor corrections and clarifications

JHEP 0005:046,2000

10.1088/1126-6708/2000/05/046

HUB-EP-99/54

hep-th

null

We analyse perturbatively, whether a flat background with vanishing G-flux in Horava-Witten supergravity represents a vacuum state, which is stable with respect to interactions between the ten-dimensional boundaries, mediated through the D=11 supergravity bulk fields. For this, we consider fluctuations in the graviton, gravitino and 3-form around the flat background, which couple to the boundary $E_8$ gauge-supermultiplet. They give rise to exchange amplitudes or forces between both boundary fixed-planes. In leading order of the D=11 gravitational coupling constant $\kappa$, we find an expected trivial vanishing of all three amplitudes and thereby stability of the flat vacuum in the static limit, in which the centre-of-mass energy $\sqrt{s}$ of the gauge-multiplet fields is zero. For $\sqrt{s}>0$, however, which could be regarded a vacuum state with excitations on the boundary, the amplitudes neither vanish nor cancel each other, thus leading to an attractive force between the fixed-planes in the flat vacuum. A ground state showing stability with regard to boundary excitations, is therefore expected to exhibit a non-trivial metric. Ten-dimensional Lorentz-invariance requires a warped geometry. Finally, we extrapolate the amplitudes to the case of coinciding boundaries and compare them to the ones resulting from the weakly coupled $E_8 \times E_8$ heterotic string theory at low energies.

[ { "created": "Mon, 27 Sep 1999 12:19:20 GMT", "version": "v1" }, { "created": "Mon, 20 Dec 1999 16:00:33 GMT", "version": "v2" }, { "created": "Fri, 23 Jun 2000 12:23:53 GMT", "version": "v3" } ]

2010-02-03

[ [ "Krause", "Axel", "", "Humboldt U., Berlin" ] ]

We analyse perturbatively, whether a flat background with vanishing G-flux in Horava-Witten supergravity represents a vacuum state, which is stable with respect to interactions between the ten-dimensional boundaries, mediated through the D=11 supergravity bulk fields. For this, we consider fluctuations in the graviton, gravitino and 3-form around the flat background, which couple to the boundary $E_8$ gauge-supermultiplet. They give rise to exchange amplitudes or forces between both boundary fixed-planes. In leading order of the D=11 gravitational coupling constant $\kappa$, we find an expected trivial vanishing of all three amplitudes and thereby stability of the flat vacuum in the static limit, in which the centre-of-mass energy $\sqrt{s}$ of the gauge-multiplet fields is zero. For $\sqrt{s}>0$, however, which could be regarded a vacuum state with excitations on the boundary, the amplitudes neither vanish nor cancel each other, thus leading to an attractive force between the fixed-planes in the flat vacuum. A ground state showing stability with regard to boundary excitations, is therefore expected to exhibit a non-trivial metric. Ten-dimensional Lorentz-invariance requires a warped geometry. Finally, we extrapolate the amplitudes to the case of coinciding boundaries and compare them to the ones resulting from the weakly coupled $E_8 \times E_8$ heterotic string theory at low energies.

10.078253

10.612253

11.167231

10.125083

10.05791

10.662697

10.522549

10.193764

10.28633

12.006909

9.827127

9.717102

9.886799

9.582267

9.927158

9.626451

9.970026

9.521964

9.689022

10.23403

9.501822

2010.09564

Di Wang

Warren Siegel and Di Wang

M Theory from F Theory

18 pages

null

hep-th

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

We write down a $GL(D+1)$ (D for the dimension of string theory) manifest fundamental brane worldvolume current algebra description of M theory, which consists of a pair of vector field $X^m$ and dual 2-form field $X_{mn}$, compositing together to parametrize the spacetime, with a selfduality condition for sectioning. The worldvolume of the brane itself is a (D+2) dimensional object, and the background spacetime after sectioning has dimension (D+1). We summarize the features of the algebra. The field contents of the corresponding background geometry, the usual vielbein $e_a{}^m$ and the 3-form $A_{mnp}$, could be identified as different blocks of the composite spacetime vielbein, by solving the orthogonality condition. Their behaviour under gauge transformation are also determined by the corresponding rules of the composite vielbein. Then by solving F theory $\mathcal{V}$ constraints, we reduce the number of worldvolume and show how to recover M theory from F theory.

[ { "created": "Mon, 19 Oct 2020 14:48:23 GMT", "version": "v1" } ]

2020-10-20

[ [ "Siegel", "Warren", "" ], [ "Wang", "Di", "" ] ]

We write down a $GL(D+1)$ (D for the dimension of string theory) manifest fundamental brane worldvolume current algebra description of M theory, which consists of a pair of vector field $X^m$ and dual 2-form field $X_{mn}$, compositing together to parametrize the spacetime, with a selfduality condition for sectioning. The worldvolume of the brane itself is a (D+2) dimensional object, and the background spacetime after sectioning has dimension (D+1). We summarize the features of the algebra. The field contents of the corresponding background geometry, the usual vielbein $e_a{}^m$ and the 3-form $A_{mnp}$, could be identified as different blocks of the composite spacetime vielbein, by solving the orthogonality condition. Their behaviour under gauge transformation are also determined by the corresponding rules of the composite vielbein. Then by solving F theory $\mathcal{V}$ constraints, we reduce the number of worldvolume and show how to recover M theory from F theory.

14.682097

13.287186

16.183254

14.257864

14.715949

14.879857

15.614016

15.163785

14.520434

17.849949

14.097992

14.466334

14.655506

14.211172

14.178969

14.804155

14.788489

14.093593

14.463218

14.787727

14.13802

1310.7710

Chong-Sun Chu

Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles

21 pages, LaTeX. 2 figures. v3: Add a new solution that describes two finitely separated M5-branes meeting midway in between. The solution is based on the 't Hooft-Polyakov monopole

null

10.1016/j.nuclphysb.2014.03.006

null

hep-th math-ph math.MP

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

We explain a new construction of self-dual string solutions to the non-abelian two-form self-duality equation proposed in \cite{CK}. This class of self-dual strings is determined by the BPS monopoles in four-dimensions and the self dual string charge is given by the charge of the monopole. Our construction covers the SO(4) invariant self-dual string solutions found previously. We have also constructed, based on the 't Hooft-Polyakov monopole, a singular solution that describes two finitely separated M5-branes meeting midway in between. We comment that as BPS monopoles are generally given by the Nahm construction, our construction suggests that a generalized Nahm transform may exist for the non-abelian self-dual strings.

[ { "created": "Tue, 29 Oct 2013 08:48:35 GMT", "version": "v1" }, { "created": "Thu, 14 Nov 2013 14:46:44 GMT", "version": "v2" }, { "created": "Tue, 18 Mar 2014 03:42:31 GMT", "version": "v3" } ]

2016-11-26

[ [ "Chu", "Chong-Sun", "" ] ]

We explain a new construction of self-dual string solutions to the non-abelian two-form self-duality equation proposed in \cite{CK}. This class of self-dual strings is determined by the BPS monopoles in four-dimensions and the self dual string charge is given by the charge of the monopole. Our construction covers the SO(4) invariant self-dual string solutions found previously. We have also constructed, based on the 't Hooft-Polyakov monopole, a singular solution that describes two finitely separated M5-branes meeting midway in between. We comment that as BPS monopoles are generally given by the Nahm construction, our construction suggests that a generalized Nahm transform may exist for the non-abelian self-dual strings.

9.105161

8.392072

10.441034

7.972407

8.667278

8.336042

8.478073

8.58849

7.853693

10.428797

8.236899

8.220392

9.095859

8.03665

8.108083

8.307453

7.990957

8.325661

8.152668

8.878528

8.131253

2107.12277

Nicol\`o Petri

Yolanda Lozano, Nicol\`o Petri, Cristian Risco

New AdS$_2$ supergravity duals of 4d SCFTs with defects

40 pages, 3 figures

null

10.1007/JHEP10(2021)217

null

hep-th

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

We construct new families of $\text{AdS}_2 \times S^2 \times S^2$ solutions with 4 supercharges in Type II supergravities. We show that subclasses of these solutions can be interpreted in terms of defect branes embedded in 4d $\mathcal{N} = 4 $ SYM, or orbifolds thereof. This is explicitly realised by showing that the solutions asymptote locally to $\text{AdS}_5 \times S^5/\mathbb{Z}_n$, in Type IIB, or its T-dual background, in Type IIA. The latter is a Gaiotto-Maldacena geometry realised on an intersection of D4 and NS5 branes. We extend the Type IIA solutions to include D6 branes, and interpret them as describing backreacted baryon vertices within 4d $\mathcal{N} = 2$ CFTs living in D4-NS5-D6 intersections. We propose explicit quiver quantum mechanics in which the defect branes play the role of colour branes, with the D4 branes of the D4-NS5-D6 intersection becoming flavour branes. These quivers are used to compute the degeneracies of the ground states of the dual super conformal quantum mechanics, that are shown to agree with the holographic expressions.

[ { "created": "Mon, 26 Jul 2021 15:36:16 GMT", "version": "v1" } ]

2021-11-17

[ [ "Lozano", "Yolanda", "" ], [ "Petri", "Nicolò", "" ], [ "Risco", "Cristian", "" ] ]

We construct new families of $\text{AdS}_2 \times S^2 \times S^2$ solutions with 4 supercharges in Type II supergravities. We show that subclasses of these solutions can be interpreted in terms of defect branes embedded in 4d $\mathcal{N} = 4 $ SYM, or orbifolds thereof. This is explicitly realised by showing that the solutions asymptote locally to $\text{AdS}_5 \times S^5/\mathbb{Z}_n$, in Type IIB, or its T-dual background, in Type IIA. The latter is a Gaiotto-Maldacena geometry realised on an intersection of D4 and NS5 branes. We extend the Type IIA solutions to include D6 branes, and interpret them as describing backreacted baryon vertices within 4d $\mathcal{N} = 2$ CFTs living in D4-NS5-D6 intersections. We propose explicit quiver quantum mechanics in which the defect branes play the role of colour branes, with the D4 branes of the D4-NS5-D6 intersection becoming flavour branes. These quivers are used to compute the degeneracies of the ground states of the dual super conformal quantum mechanics, that are shown to agree with the holographic expressions.

6.030109

5.007404

6.75646

5.629928

5.62356

5.673695

5.202397

5.430305

5.393145

7.530569

5.420214

5.65119

6.30832

5.649011

5.749352

5.668582

5.638241

5.693625

5.632665

6.255946

5.700225

1503.03326

Bruno Lima de Souza

Loriano Bonora, Antonio Duarte Pereira and Bruno Lima de Souza

Regularization of energy-momentum tensor correlators and parity-odd terms

40 pages, 1 figure. v2: minor changes and typos corrected

null

hep-th gr-qc

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

We discuss the problem of regularizing correlators in conformal field theories. The only way to do it in coordinate space is to interpret them as distributions. Unfortunately except for the simplest cases we do not have tabulated mathematical results. The way out we pursue here is to go to momentum space and use Feynman diagram techniques and their regularization methods. We focus on the energy-momentum tensor correlators and, to gain insight, we compute and regularize 2-point functions in 2d with various techniques both in coordinate space and in momentum space, obtaining the same results. Then we do the same for 2-point functions in 4d. Finally we turn to 3-point function in 4d, and concentrate on the parity-odd part. We derive in particular the regularized trace and divergence of the energy-momentum tensor in a chiral fermion model. We discuss the problems related to the parity-odd trace anomaly.

[ { "created": "Wed, 11 Mar 2015 13:38:31 GMT", "version": "v1" }, { "created": "Wed, 18 Mar 2015 16:49:38 GMT", "version": "v2" } ]

2015-03-19

[ [ "Bonora", "Loriano", "" ], [ "Pereira", "Antonio Duarte", "" ], [ "de Souza", "Bruno Lima", "" ] ]

We discuss the problem of regularizing correlators in conformal field theories. The only way to do it in coordinate space is to interpret them as distributions. Unfortunately except for the simplest cases we do not have tabulated mathematical results. The way out we pursue here is to go to momentum space and use Feynman diagram techniques and their regularization methods. We focus on the energy-momentum tensor correlators and, to gain insight, we compute and regularize 2-point functions in 2d with various techniques both in coordinate space and in momentum space, obtaining the same results. Then we do the same for 2-point functions in 4d. Finally we turn to 3-point function in 4d, and concentrate on the parity-odd part. We derive in particular the regularized trace and divergence of the energy-momentum tensor in a chiral fermion model. We discuss the problems related to the parity-odd trace anomaly.

9.16081

9.172352

9.073505

9.058254

8.942057

8.742267

9.509855

9.30437

8.639961

10.071878

8.592488

8.613794

8.934826

8.568809

8.675975

8.902822

8.624974

8.71751

8.799308

8.911615

8.701445

1312.6709

Denis Dalmazi

H. A. Biazotti, D. Dalmazi, and G. B. de Gracia

Dimensional reduction of the massless limit of the linearized "New Massive Gravity"

12 pages, one more reference and text slightly modified accordingly

null

10.1140/epjc/s10052-014-2747-0

null

hep-th

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

The so called "New Massive Gravity" in $D=2+1$ consists of the Einstein-Hilbert action (with minus sign) plus a quadratic term in curvatures ($K$-term). Here we perform the Kaluza-Klein dimensional reduction of the linearized $K$-term to $D=1+1$. We end up with a fourth-order massive electrodynamics in $D=1+1$ described by a rank-2 tensor. Remarkably, there appears a local symmetry in $D=1+1$ which persists even after gauging away the Stueckelberg fields of the dimensional reduction. It plays the role of a $U(1)$ gauge symmetry. Although of higher-order in derivatives, the new $2D$ massive electrodynamics is ghost free, as we show here. It is shown, via master action, to be dual to the Maxwell-Proca theory with a scalar Stueckelberg field.

[ { "created": "Mon, 23 Dec 2013 21:57:16 GMT", "version": "v1" }, { "created": "Thu, 2 Jan 2014 19:24:55 GMT", "version": "v2" } ]

2015-06-18

[ [ "Biazotti", "H. A.", "" ], [ "Dalmazi", "D.", "" ], [ "de Gracia", "G. B.", "" ] ]

The so called "New Massive Gravity" in $D=2+1$ consists of the Einstein-Hilbert action (with minus sign) plus a quadratic term in curvatures ($K$-term). Here we perform the Kaluza-Klein dimensional reduction of the linearized $K$-term to $D=1+1$. We end up with a fourth-order massive electrodynamics in $D=1+1$ described by a rank-2 tensor. Remarkably, there appears a local symmetry in $D=1+1$ which persists even after gauging away the Stueckelberg fields of the dimensional reduction. It plays the role of a $U(1)$ gauge symmetry. Although of higher-order in derivatives, the new $2D$ massive electrodynamics is ghost free, as we show here. It is shown, via master action, to be dual to the Maxwell-Proca theory with a scalar Stueckelberg field.

6.594196

5.904874

6.898396

6.021536

6.158976

5.774864

5.753332

5.861521

5.90202

6.798189

6.021669

6.008823

6.431967

6.075193

6.189767

6.126106

6.096595

6.052505

6.139216

6.644355

6.170314

hep-th/0301062

Andrianov Alexander

A. A. Andrianov (1,2), A. V. Sokolov (2)((1)INFN, Sezione di Bologna, Italy; (2) St.Petersburg State University)

Nonlinear supersymmetry in Quantum Mechanics: algebraic properties and differential representation

28 pages, Latex, minor improvements and removed misprints

Nucl.Phys. B660 (2003) 25-50

10.1016/S0550-3213(03)00232-3

null

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

null

We study the Nonlinear (Polynomial, N-fold,...) Supersymmetry algebra in one-dimensional QM. Its structure is determined by the type of conjugation operation (Hermitian conjugation or transposition) and described with the help of the Super-Hamiltonian projection on the zero-mode subspace of a supercharge. We show that the SUSY algebra with transposition symmetry is always polynomial in the Hamiltonian if supercharges represent differential operators of finite order. The appearance of the extended SUSY with several (complex or real) supercharges is analyzed in details and it is established that no more than two independent supercharges may generate a Nonlinear superalgebra which can be appropriately specified as {\cal N} = 2 SUSY. In this case we find a non-trivial hidden symmetry operator and rephrase it as a non-linear function of the Super-Hamiltonian on the physical state space. The full {\cal N} = 2 Non-linear SUSY algebra includes "central charges" both polynomial and non-polynomial (due to a symmetry operator) in the Super-Hamiltonian.

[ { "created": "Fri, 10 Jan 2003 14:32:20 GMT", "version": "v1" }, { "created": "Sat, 11 Jan 2003 10:48:14 GMT", "version": "v2" }, { "created": "Mon, 3 Feb 2003 12:04:33 GMT", "version": "v3" }, { "created": "Tue, 18 Mar 2003 17:00:58 GMT", "version": "v4" } ]

2010-04-05

[ [ "Andrianov", "A. A.", "" ], [ "Sokolov", "A. V.", "" ] ]

We study the Nonlinear (Polynomial, N-fold,...) Supersymmetry algebra in one-dimensional QM. Its structure is determined by the type of conjugation operation (Hermitian conjugation or transposition) and described with the help of the Super-Hamiltonian projection on the zero-mode subspace of a supercharge. We show that the SUSY algebra with transposition symmetry is always polynomial in the Hamiltonian if supercharges represent differential operators of finite order. The appearance of the extended SUSY with several (complex or real) supercharges is analyzed in details and it is established that no more than two independent supercharges may generate a Nonlinear superalgebra which can be appropriately specified as {\cal N} = 2 SUSY. In this case we find a non-trivial hidden symmetry operator and rephrase it as a non-linear function of the Super-Hamiltonian on the physical state space. The full {\cal N} = 2 Non-linear SUSY algebra includes "central charges" both polynomial and non-polynomial (due to a symmetry operator) in the Super-Hamiltonian.

11.678803

11.727092

12.53895

11.507661

13.447732

12.004888

12.578127

11.204936

11.82216

12.360756

11.202455

11.549191

11.862399

11.224385

11.859507

11.492411

11.72863

11.769376

11.292982

11.817857

11.284424

1107.2925

Yoske Sumitomo

Gary Shiu, Yoske Sumitomo

Stability Constraints on Classical de Sitter Vacua

18 pages; v2: argument improved, references added

null

10.1007/JHEP09(2011)052

MAD-TH-11-06, TIFR/TH/11-31

hep-th astro-ph.CO hep-ph

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

We present further no-go theorems for classical de Sitter vacua in Type II string theory, i.e., de Sitter constructions that do not invoke non-perturbative effects or explicit supersymmetry breaking localized sources. By analyzing the stability of the 4D potential arising from compactification on manfiolds with curvature, fluxes, and orientifold planes, we found that additional ingredients, beyond the minimal ones presented so far, are necessary to avoid the presence of unstable modes. We enumerate the minimal setups for (meta)stable de Sitter vacua to arise in this context.

[ { "created": "Thu, 14 Jul 2011 20:00:03 GMT", "version": "v1" }, { "created": "Thu, 21 Jul 2011 19:12:20 GMT", "version": "v2" } ]

2015-05-28

[ [ "Shiu", "Gary", "" ], [ "Sumitomo", "Yoske", "" ] ]

We present further no-go theorems for classical de Sitter vacua in Type II string theory, i.e., de Sitter constructions that do not invoke non-perturbative effects or explicit supersymmetry breaking localized sources. By analyzing the stability of the 4D potential arising from compactification on manfiolds with curvature, fluxes, and orientifold planes, we found that additional ingredients, beyond the minimal ones presented so far, are necessary to avoid the presence of unstable modes. We enumerate the minimal setups for (meta)stable de Sitter vacua to arise in this context.

10.293989

10.40452

12.297185

9.501809

10.313938

10.071909

10.136374

9.49435

10.110096

13.262655

10.644921

9.681252

10.607067

9.688853

9.671421

9.859777

9.985886

9.867401

9.819118

10.939043

9.593392

1610.06464

In Yong Park

I. Y. Park

Quantum gravitational effects on boundary

31 pages, 5 figures, minor changes, version to appear in TMPh

Theor.Math.Phys. 195(1) (2018) 607-627

10.1134/S0040577918040128

null

hep-th gr-qc

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

Quantum gravitational effects may hold the key to some of the outstanding problems in theoretical physics. In this work we analyze the perturbative quantum effects on the boundary of a gravitational system and Dirichlet boundary condtion imposed at the classical level. Our analysis reveals that for a black hole solution there exists a clash between the quantum effects and Dirichlet boundary condition: the solution of the one-particle-irreducible (1PI) action no longer obeys the Dirichlet boundary condition. The analysis also suggests that the violation of the Dirichlet boundary condition should be tied with a certain mechanism of information storage on the boundary.

[ { "created": "Thu, 20 Oct 2016 15:51:29 GMT", "version": "v1" }, { "created": "Tue, 8 Nov 2016 14:01:26 GMT", "version": "v2" }, { "created": "Wed, 10 May 2017 22:22:39 GMT", "version": "v3" } ]

2018-05-08

[ [ "Park", "I. Y.", "" ] ]

Quantum gravitational effects may hold the key to some of the outstanding problems in theoretical physics. In this work we analyze the perturbative quantum effects on the boundary of a gravitational system and Dirichlet boundary condtion imposed at the classical level. Our analysis reveals that for a black hole solution there exists a clash between the quantum effects and Dirichlet boundary condition: the solution of the one-particle-irreducible (1PI) action no longer obeys the Dirichlet boundary condition. The analysis also suggests that the violation of the Dirichlet boundary condition should be tied with a certain mechanism of information storage on the boundary.

8.820443

7.967626

8.712871

8.295774

8.882495

9.1098

8.373638

7.942523

8.261231

8.93588

7.826019

8.382375

8.112993

8.05547

8.238503

8.398707

8.379979

8.203686

7.978965

8.192271

8.208422

hep-th/9810069

S. Kalyana Rama

S. Kalyana Rama and B. Sathiapalan

The Hagedorn Transition, Deconfinement and the AdS/CFT Correspondence

Latex file, 10 Pages

Mod.Phys.Lett. A13 (1998) 3137-3144

10.1142/S0217732398003338

IMSc/98/10/51

hep-th

null

A connection between the Hagedorn transition in string theory and the deconfinement transition in (non-supersymmetric) Yang-Mills theory is made using the AdS/CFT correspondence. We modify the model of zero temperature QCD proposed by Witten by compactifying an additional space-time coordinate with supersymmetry breaking boundary conditions thus introducing a finite temperature in the boundary theory. There is a Hagedorn-like transition associated with winding modes around this coordinate, which signals a topology changing phase transition to a new AdS/Schwarzschild blackhole where this coordinate is the time coordinate. In the boundary gauge theory time like Wilson loops acquire an expectation value above this temperature.

[ { "created": "Sat, 10 Oct 1998 07:32:48 GMT", "version": "v1" } ]

2009-10-31

[ [ "Rama", "S. Kalyana", "" ], [ "Sathiapalan", "B.", "" ] ]

A connection between the Hagedorn transition in string theory and the deconfinement transition in (non-supersymmetric) Yang-Mills theory is made using the AdS/CFT correspondence. We modify the model of zero temperature QCD proposed by Witten by compactifying an additional space-time coordinate with supersymmetry breaking boundary conditions thus introducing a finite temperature in the boundary theory. There is a Hagedorn-like transition associated with winding modes around this coordinate, which signals a topology changing phase transition to a new AdS/Schwarzschild blackhole where this coordinate is the time coordinate. In the boundary gauge theory time like Wilson loops acquire an expectation value above this temperature.

10.032875

8.536206

9.524422

8.318432

8.858362

9.294889

9.563723

9.159045

8.626526

11.023609

8.641519

9.138812

9.976209

8.553432

9.145532

8.950864

9.045985

8.948493

8.883305

9.528243

9.11151

2406.00712

Amr Ahmadain

Amr Ahmadain, Rifath Khan

A Worldsheet Derivation of the Classical Off-shell Boundary Action for the Dilaton in Half-Space

32 pages, 4 figures

null

hep-th

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

We use the method of images to present a worldsheet derivation of the sphere partition function for the dilaton in half-space to leading order in $\apr$ with Neumann boundary conditions. We use Tseytlin's sphere prescription to obtain the total (bulk and boundary) off-shell classical bosonic string action for the dilaton in half-space and show that it satisfies the requirement for a well-defined variational principle

[ { "created": "Sun, 2 Jun 2024 11:31:21 GMT", "version": "v1" } ]

2024-06-04

[ [ "Ahmadain", "Amr", "" ], [ "Khan", "Rifath", "" ] ]

We use the method of images to present a worldsheet derivation of the sphere partition function for the dilaton in half-space to leading order in $\apr$ with Neumann boundary conditions. We use Tseytlin's sphere prescription to obtain the total (bulk and boundary) off-shell classical bosonic string action for the dilaton in half-space and show that it satisfies the requirement for a well-defined variational principle

16.386362

16.002785

17.591694

13.388659

14.759995

16.171127

18.045916

15.30054

14.088999

18.249907

13.314248

14.284635

15.17101

14.893682

14.643541

14.017109

14.220422

15.271785

14.1754

15.375719

14.274755

hep-th/9810076

Yavuz Nutku

J. Kalayci and Y. Nutku

Alternative bi-Hamiltonian structures for WDVV equations of associativity

null

J.Phys.A31:723,1998

10.1088/0305-4470/31/2/027

null

hep-th

null

The WDVV equations of associativity in 2-d topological field theory are completely integrable third order Monge-Amp\`ere equations which admit bi-Hamiltonian structure. The time variable plays a distinguished role in the discussion of Hamiltonian structure whereas in the theory of WDVV equations none of the independent variables merits such a distinction. WDVV equations admit very different alternative Hamiltonian structures under different possible choices of the time variable but all these various Hamiltonian formulations can be brought together in the framework of the covariant theory of symplectic structure. They can be identified as different components of the covariant Witten-Zuckerman symplectic 2-form current density where a variational formulation of the WDVV equation that leads to the Hamiltonian operator through the Dirac bracket is available.

[ { "created": "Mon, 12 Oct 1998 09:42:48 GMT", "version": "v1" } ]

2016-09-06

[ [ "Kalayci", "J.", "" ], [ "Nutku", "Y.", "" ] ]

The WDVV equations of associativity in 2-d topological field theory are completely integrable third order Monge-Amp\`ere equations which admit bi-Hamiltonian structure. The time variable plays a distinguished role in the discussion of Hamiltonian structure whereas in the theory of WDVV equations none of the independent variables merits such a distinction. WDVV equations admit very different alternative Hamiltonian structures under different possible choices of the time variable but all these various Hamiltonian formulations can be brought together in the framework of the covariant theory of symplectic structure. They can be identified as different components of the covariant Witten-Zuckerman symplectic 2-form current density where a variational formulation of the WDVV equation that leads to the Hamiltonian operator through the Dirac bracket is available.

12.192528

12.422124

14.639125

12.068825

12.877735

14.300183

12.582403

12.66573

11.037855

16.131504

11.788514

11.608946

12.575382

11.542041

12.155532

12.360025

12.034884

11.752331

12.199468

12.286664

11.838383

1512.02887

Taotao Qiu

New DBI Inflation model with Kinetic Coupling to Einstein Gravity

6 pages, no figure

Phys. Rev. D 93, 123515 (2016)

10.1103/PhysRevD.93.123515

null

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

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

In this paper we study a new class of inflation models which generalize the Dirac-Born-Infeld (DBI) action with the addition of a nonminimal kinetic coupling (NKC) term. We dubbed this model as the {\it new DBI inflation model}. The NKC term does not bring new dynamical degree of freedom, so the equations of motion remain of second order. However, with such a coupling, the action is no longer linear with respect to the Einstein curvature term ($R$ or $G^{\mu\nu}$), which leads to a correction term of $k^4$ in the perturbations. The new DBI inflation model can be viewed as theories beyond Horndeski. Without violating nearly scale-invariance, such a correction may lead to new effects on the inflationary spectra that could be tested by future observations.

[ { "created": "Wed, 9 Dec 2015 15:03:25 GMT", "version": "v1" }, { "created": "Sun, 28 Feb 2016 15:40:19 GMT", "version": "v2" }, { "created": "Wed, 3 Aug 2016 04:23:05 GMT", "version": "v3" } ]

2016-08-04

[ [ "Qiu", "Taotao", "" ] ]

In this paper we study a new class of inflation models which generalize the Dirac-Born-Infeld (DBI) action with the addition of a nonminimal kinetic coupling (NKC) term. We dubbed this model as the {\it new DBI inflation model}. The NKC term does not bring new dynamical degree of freedom, so the equations of motion remain of second order. However, with such a coupling, the action is no longer linear with respect to the Einstein curvature term ($R$ or $G^{\mu\nu}$), which leads to a correction term of $k^4$ in the perturbations. The new DBI inflation model can be viewed as theories beyond Horndeski. Without violating nearly scale-invariance, such a correction may lead to new effects on the inflationary spectra that could be tested by future observations.

7.629783

7.269131

7.215937

6.864781

7.022288

8.106145

7.431077

6.760592

7.436862

7.575189

6.979668

6.9861

7.069526

6.914593

7.224672

7.159736

7.023695

7.104844

7.118703

6.944785

6.960504

hep-th/0209034

Koji Hashimoto

Gary Gibbons, Koji Hashimoto, Piljin Yi

Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings

28 pages, typos corrected

JHEP 0209:061,2002

10.1088/1126-6708/2002/09/061

DAMTP-2002-101, KIAS-P02051, UT-Komaba/02-07

hep-th

null

We study the rolling tachyon condensate in the presence of a gauge field. The generic vacuum admits both a rolling tachyon, \dot{T}, and a uniform electric field, \vec{E}, which together affect the effective metric governing the fluctuations of open string modes. If one suppresses the gauge field altogether, the light-cone collapses completely. This is the Carrollian limit, with vanishing speed of light and no possible propagation of signals. In the presence of a gauge field, however, the lightcone is squeezed to the shape of a fan, allowing propagation of signals along the direction of \pm \vec{E} at speed |E|=<1. This shows that there are perturbative degrees of freedom propagating along electric flux lines. Such causal behavior appears to be a very general feature of tachyon effective Lagrangian with runway potentials. We speculate on how this may be connected to appearance of fundamental strings.

[ { "created": "Wed, 4 Sep 2002 14:22:26 GMT", "version": "v1" }, { "created": "Tue, 8 Oct 2002 01:01:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Gibbons", "Gary", "" ], [ "Hashimoto", "Koji", "" ], [ "Yi", "Piljin", "" ] ]

We study the rolling tachyon condensate in the presence of a gauge field. The generic vacuum admits both a rolling tachyon, \dot{T}, and a uniform electric field, \vec{E}, which together affect the effective metric governing the fluctuations of open string modes. If one suppresses the gauge field altogether, the light-cone collapses completely. This is the Carrollian limit, with vanishing speed of light and no possible propagation of signals. In the presence of a gauge field, however, the lightcone is squeezed to the shape of a fan, allowing propagation of signals along the direction of \pm \vec{E} at speed |E|=<1. This shows that there are perturbative degrees of freedom propagating along electric flux lines. Such causal behavior appears to be a very general feature of tachyon effective Lagrangian with runway potentials. We speculate on how this may be connected to appearance of fundamental strings.

14.651584

15.2208

15.135636

12.760203

14.370097

15.434235

13.711255

13.785794

13.591416

15.766006

13.969657

13.984965

13.888446

13.828249

13.857448

13.543274

13.951223

13.759544

13.758695

14.139978

14.020779

1112.5406

Petr Dunin-Barkowski

Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov

Kontsevich integral for knots and Vassiliev invariants

25 pages, 17 figures

Int. J. Mod. Phys. A 28, 1330025 (2013)

10.1142/S0217751X13300251

ITEP/TH-63/11

hep-th math.CO math.GT

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

We review quantum field theory approach to the knot theory. Using holomorphic gauge we obtain the Kontsevich integral. It is explained how to calculate Vassiliev invariants and coefficients in Kontsevich integral in a combinatorial way which can be programmed on a computer. We discuss experimental results and temporal gauge considerations which lead to representation of Vassiliev invariants in terms of arrow diagrams. Explicit examples and computational results are presented.

[ { "created": "Thu, 22 Dec 2011 18:15:04 GMT", "version": "v1" }, { "created": "Fri, 23 Dec 2011 16:31:19 GMT", "version": "v2" }, { "created": "Sat, 21 Jan 2012 09:52:31 GMT", "version": "v3" } ]

2014-04-03

[ [ "Dunin-Barkowski", "Petr", "" ], [ "Sleptsov", "Alexey", "" ], [ "Smirnov", "Andrey", "" ] ]

We review quantum field theory approach to the knot theory. Using holomorphic gauge we obtain the Kontsevich integral. It is explained how to calculate Vassiliev invariants and coefficients in Kontsevich integral in a combinatorial way which can be programmed on a computer. We discuss experimental results and temporal gauge considerations which lead to representation of Vassiliev invariants in terms of arrow diagrams. Explicit examples and computational results are presented.

14.041613

13.644215

13.967981

13.608128

14.324473

14.311436

13.445224

13.761287

13.122574

13.940873

12.943866

12.748705

13.244668

12.459394

13.285039

13.004522

12.414731

13.030879

12.135736

13.882312

12.578321

2303.09896

Jnanadeva Maharana

On Production of Excited Kaluza-Klein States in Large Radius Compactification Scenario

null

10.1142/S0217751X23500598

null

hep-th hep-ph

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

Production of exotic states at LHC is considered in the large radius compactification scenario. We envisage a five dimensional theory for a scalar field in five dimensional flat spacetime. It is compactified on a circle, $S^1$, with radius, $R$. The radius is assumed to be in TeV scale appealing to LRC hypothesis. The production of Kaluza-Klein states whose masses lie in the vicinity of TeV range is considered. Instead of appealing to any specific model, bounds on inelastic cross sections and near forward differental cross section are derived from the Lehmann-Symanzik-Zimmermann (LSZ) formulation. We consider decompactified theory should compactification radius be large enough to unravel the fifth spacial dimension in LHC energy scale. Bounds on cross sections are also derived for this scenario. We present bounds on inclusive cross sections for reactions like $a+b\rightarrow c+X$, X being unobserved states. We plot the bounds as a function of energy and propose that these bounds might be useful for search of exotic states in LHC experiments like ATLAS and CMS.

[ { "created": "Fri, 17 Mar 2023 11:22:09 GMT", "version": "v1" } ]

2023-08-02

[ [ "Maharana", "Jnanadeva", "" ] ]

Production of exotic states at LHC is considered in the large radius compactification scenario. We envisage a five dimensional theory for a scalar field in five dimensional flat spacetime. It is compactified on a circle, $S^1$, with radius, $R$. The radius is assumed to be in TeV scale appealing to LRC hypothesis. The production of Kaluza-Klein states whose masses lie in the vicinity of TeV range is considered. Instead of appealing to any specific model, bounds on inelastic cross sections and near forward differental cross section are derived from the Lehmann-Symanzik-Zimmermann (LSZ) formulation. We consider decompactified theory should compactification radius be large enough to unravel the fifth spacial dimension in LHC energy scale. Bounds on cross sections are also derived for this scenario. We present bounds on inclusive cross sections for reactions like $a+b\rightarrow c+X$, X being unobserved states. We plot the bounds as a function of energy and propose that these bounds might be useful for search of exotic states in LHC experiments like ATLAS and CMS.

12.622862

12.539725

12.406718

12.074572

13.485159

13.755533

13.245236

12.799158

12.433526

13.433504

12.784096

12.289619

12.239892

12.173519

12.354312

12.243211

13.146633

11.749341

12.395905

12.819106

12.042584

1406.6602

Daniela D'Ascanio

M. Asorey, C. G. Beneventano, I. Cavero-Pel\'aez, D. D'Ascanio and E. M. Santangelo

Topological Entropy and Renormalization Group flow in 3-dimensional spherical spaces

35 pages, 5 figures. Minor changes; matches published version

JHEP 01 (2015) 078

10.1007/JHEP01(2015)078

null

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

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

We analyze the renormalization group (RG) flow of the temperature independent term of the entropy in the high temperature limit \beta/a<<1 of a massive field theory in 3-dimensional spherical spaces M_3 with constant curvature 6/a^2. For masses lower than 2\pi/\beta, this term can be identified with the free energy of the same theory on M_3 considered as a 3-dimensional Euclidean space-time. The non-extensive part of this free energy, S_hol, is generated by the holonomy of the spatial metric connection. We show that for homogeneous spherical spaces the holonomy entropy S_hol decreases monotonically when the RG scale flows to the infrared. At the conformal fixed points the values of the holonomy entropy do coincide with the genuine topological entropies recently introduced. The monotonic behavior of the RG flow leads to an inequality between the topological entropies of the conformal field theories connected by such flow, i.e. S_top^UV > S_top^IR. From a 3-dimensional viewpoint the same term arises in the 3-dimensional Euclidean effective action and has the same monotonic behavior under the RG group flow. We conjecture that such monotonic behavior is generic, which would give rise to a 3-dimensional generalization of the c-theorem, along the lines of the 2-dimensional c-theorem and the 4-dimensional a-theorem. The conjecture is related to recent formulations of the F-theorem. In particular, the holonomy entropy on lens spaces is directly related to the topological R\'enyi entanglement entropy on disks of 2-dimensional flat spaces.

[ { "created": "Wed, 25 Jun 2014 15:11:46 GMT", "version": "v1" }, { "created": "Wed, 17 Dec 2014 21:14:49 GMT", "version": "v2" }, { "created": "Sat, 17 Jan 2015 01:15:22 GMT", "version": "v3" } ]

2015-01-20

[ [ "Asorey", "M.", "" ], [ "Beneventano", "C. G.", "" ], [ "Cavero-Peláez", "I.", "" ], [ "D'Ascanio", "D.", "" ], [ "Santangelo", "E. M.", "" ] ]

We analyze the renormalization group (RG) flow of the temperature independent term of the entropy in the high temperature limit \beta/a<<1 of a massive field theory in 3-dimensional spherical spaces M_3 with constant curvature 6/a^2. For masses lower than 2\pi/\beta, this term can be identified with the free energy of the same theory on M_3 considered as a 3-dimensional Euclidean space-time. The non-extensive part of this free energy, S_hol, is generated by the holonomy of the spatial metric connection. We show that for homogeneous spherical spaces the holonomy entropy S_hol decreases monotonically when the RG scale flows to the infrared. At the conformal fixed points the values of the holonomy entropy do coincide with the genuine topological entropies recently introduced. The monotonic behavior of the RG flow leads to an inequality between the topological entropies of the conformal field theories connected by such flow, i.e. S_top^UV > S_top^IR. From a 3-dimensional viewpoint the same term arises in the 3-dimensional Euclidean effective action and has the same monotonic behavior under the RG group flow. We conjecture that such monotonic behavior is generic, which would give rise to a 3-dimensional generalization of the c-theorem, along the lines of the 2-dimensional c-theorem and the 4-dimensional a-theorem. The conjecture is related to recent formulations of the F-theorem. In particular, the holonomy entropy on lens spaces is directly related to the topological R\'enyi entanglement entropy on disks of 2-dimensional flat spaces.

8.604528

8.988362

9.499051

8.45103

9.700746

9.631548

8.586767

8.822637

8.717505

9.448992

8.579771

8.146869

8.585623

8.147861

8.372127

8.49256

8.18111

8.178123

8.452442

8.824713

8.240792

2303.10958

Rong-Xin Miao

Dongqi Li, Rong-Xin Miao

Massless Entanglement Islands in Cone Holography

32 pages, 16 figures, minor revision published in JHEP

JHEP06(2023)056

10.1007/JHEP06(2023)056

null

hep-th gr-qc

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

It is controversial whether entanglement islands can exist in massless gravity theories. Recently, it is found that the massless entanglement island appears in wedge holography with DGP gravity on the branes. In this paper, we generalize the discussions to the codim-n holography named cone holography. For simplicity, we focus on the case with a codim-2 E brane and a codim-1 Q brane. We discuss the effective action, mass spectrum and holographic entanglement entropy for cone holography with DGP terms. We verify that there is massless gravity on the branes, and recover non-trivial entanglement islands and Page curves. Besides, we work out the parameter space which allows entanglement islands and Page curves. Compared with wedge holography, there are several new features. First, one can not add DGP gravity on the codim-2 E brane. That is because the energy density has to be a constant on codim-2 branes for Einstein gravity in bulk. Second, the Hartman-Maldacena surface ends only on the codim-1 Q brane. Third, the Hartman-Maldacena surface can be defined only in a finite time. We notice that this unusual situation also appears in AdS/dCFT and even in AdS/CFT. Fortunately, it does not affect the Page curve since it happens after Page time. Our results provide more support that the entanglement island is consistent with massless gravity theories.

[ { "created": "Mon, 20 Mar 2023 09:30:49 GMT", "version": "v1" }, { "created": "Tue, 13 Jun 2023 21:22:15 GMT", "version": "v2" } ]

2023-06-16

[ [ "Li", "Dongqi", "" ], [ "Miao", "Rong-Xin", "" ] ]

It is controversial whether entanglement islands can exist in massless gravity theories. Recently, it is found that the massless entanglement island appears in wedge holography with DGP gravity on the branes. In this paper, we generalize the discussions to the codim-n holography named cone holography. For simplicity, we focus on the case with a codim-2 E brane and a codim-1 Q brane. We discuss the effective action, mass spectrum and holographic entanglement entropy for cone holography with DGP terms. We verify that there is massless gravity on the branes, and recover non-trivial entanglement islands and Page curves. Besides, we work out the parameter space which allows entanglement islands and Page curves. Compared with wedge holography, there are several new features. First, one can not add DGP gravity on the codim-2 E brane. That is because the energy density has to be a constant on codim-2 branes for Einstein gravity in bulk. Second, the Hartman-Maldacena surface ends only on the codim-1 Q brane. Third, the Hartman-Maldacena surface can be defined only in a finite time. We notice that this unusual situation also appears in AdS/dCFT and even in AdS/CFT. Fortunately, it does not affect the Page curve since it happens after Page time. Our results provide more support that the entanglement island is consistent with massless gravity theories.

7.868853

7.237783

8.560753

7.256747

7.325518

7.417992

6.992486

7.155469

7.30125

9.021002

7.390245

7.570538

8.026436

7.73492

7.818303

7.633703

7.677973

7.542601

7.64505

8.321183

7.628446

0811.4074

Tao Zhu

Tao Zhu and Ji-Rong Ren

Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe

10 pages, no figures, comments are welcome; v2: references added and some typoes corrected, to appear in Euro.Phys.J.C; v3:a defect corrected. We thank Dr.Elias Vagenas for pointing out a defect of our paper

Eur.Phys.J.C62:413-418,2009

10.1140/epjc/s10052-009-1044-9

null

hep-th astro-ph gr-qc

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

Recently, a Hamilton-Jacobi method beyond semiclassical approximation in black hole physics was developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond0}. In this paper, we generalize their analysis of black holes to the case of Friedmann-Robertson-Walker (FRW) universe. It is shown that all the higher order quantum corrections in the single particle action are proportional to the usual semiclassical contribution. The corrections to the Hawking-like temperature and entropy of apparent horizon for FRW universe are also obtained. In the corrected entropy, the area law involves logarithmic area correction together with the standard inverse power of area term.

[ { "created": "Tue, 25 Nov 2008 12:53:08 GMT", "version": "v1" }, { "created": "Wed, 13 May 2009 14:48:53 GMT", "version": "v2" }, { "created": "Fri, 14 Aug 2009 06:20:04 GMT", "version": "v3" } ]

2014-11-18

[ [ "Zhu", "Tao", "" ], [ "Ren", "Ji-Rong", "" ] ]

Recently, a Hamilton-Jacobi method beyond semiclassical approximation in black hole physics was developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond0}. In this paper, we generalize their analysis of black holes to the case of Friedmann-Robertson-Walker (FRW) universe. It is shown that all the higher order quantum corrections in the single particle action are proportional to the usual semiclassical contribution. The corrections to the Hawking-like temperature and entropy of apparent horizon for FRW universe are also obtained. In the corrected entropy, the area law involves logarithmic area correction together with the standard inverse power of area term.

10.235641

8.075257

8.187565

8.333079

8.127563

7.690552

8.538875

7.562308

8.371087

8.758844

7.895916

8.591208

8.683038

8.299314

8.415636

8.637848

8.33065

8.343267

8.400232

8.363649

8.531248

0809.2924

Kanghoon Lee

Kanghoon Lee, Sangmin Lee and Jeong-Hyuck Park

Topological Twisting of Multiple M2-brane Theory

20 pages, no figure; Refs added, minor improvement, to appear in JHEP

JHEP0811:014,2008

10.1088/1126-6708/2008/11/014

null

hep-th

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

Bagger-Lambert-Gustavsson theory with infinite dimensional gauge group has been suggested to describe M5-brane as a condensation of multiple M2-branes. Here we perform a topological twisting of the Bagger-Lambert-Gustavsson theory. The original SO(8) R-symmetry is broken to SO(3)XSO(5), where the former may be interpreted as a diagonal subgroup of the Euclidean M5-brane world-volume symmetry SO(6), while the latter is the isometry of the transverse five directions. Accordingly the resulting action contains an one-form and five scalars as for the bosonic dynamical fields. We further lift the action to a generic curved three manifold. In order to make sure the genuine topological invariance, we construct an off-shell formalism such that the scalar supersymmetry transformations are nilpotent strictly off-shell and independent of the metric of the three manifold. The one loop partition function around a trivial background yields the Ray-Singer torsion. The BPS equation involves an M2-brane charge density given by a Nambu-Goto action defined in an internal three-manifold.

[ { "created": "Wed, 17 Sep 2008 15:24:52 GMT", "version": "v1" }, { "created": "Thu, 25 Sep 2008 12:20:53 GMT", "version": "v2" }, { "created": "Tue, 21 Oct 2008 06:27:32 GMT", "version": "v3" } ]

2008-11-26

[ [ "Lee", "Kanghoon", "" ], [ "Lee", "Sangmin", "" ], [ "Park", "Jeong-Hyuck", "" ] ]

Bagger-Lambert-Gustavsson theory with infinite dimensional gauge group has been suggested to describe M5-brane as a condensation of multiple M2-branes. Here we perform a topological twisting of the Bagger-Lambert-Gustavsson theory. The original SO(8) R-symmetry is broken to SO(3)XSO(5), where the former may be interpreted as a diagonal subgroup of the Euclidean M5-brane world-volume symmetry SO(6), while the latter is the isometry of the transverse five directions. Accordingly the resulting action contains an one-form and five scalars as for the bosonic dynamical fields. We further lift the action to a generic curved three manifold. In order to make sure the genuine topological invariance, we construct an off-shell formalism such that the scalar supersymmetry transformations are nilpotent strictly off-shell and independent of the metric of the three manifold. The one loop partition function around a trivial background yields the Ray-Singer torsion. The BPS equation involves an M2-brane charge density given by a Nambu-Goto action defined in an internal three-manifold.

9.915634

8.728086

10.991588

9.093524

9.395878

9.287346

8.574818

8.447188

8.532566

10.897157

8.488323

8.62641

8.808514

8.353057

8.717423

8.449029

8.738757

8.492247

8.565925

9.188774

8.420324

hep-th/9307149

Igor Musatov

B. M. Zupnik

Quantum deformations for the diagonal R-matrices

6 pages, Talk at Workshop on Supersymmetry and Quantum Groups, Dubna, 15-20 July 1993

null

NIIPF-93/07

hep-th math.QA

null

We consider two different types of deformations for the linear group $ GL(n)$ which correspond to using of a general diagonal R-matrix. Relations between braided and quantum deformed algebras and their coactions on a quantum plane are discussed. We show that tensor-grading-preserving differential calculi can be constructed on braided groups , quantum groups and quantum planes for the case of the diagonal R-matrix.

[ { "created": "Sun, 25 Jul 1993 10:43:50 GMT", "version": "v1" } ]

2008-02-03

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

We consider two different types of deformations for the linear group $ GL(n)$ which correspond to using of a general diagonal R-matrix. Relations between braided and quantum deformed algebras and their coactions on a quantum plane are discussed. We show that tensor-grading-preserving differential calculi can be constructed on braided groups , quantum groups and quantum planes for the case of the diagonal R-matrix.

18.306145

16.46018

17.847967

15.095216

17.58823

16.452438

19.46991

17.428165

16.657192

24.077522

17.699369

15.90919

16.413528

16.07432

16.867682

17.219973

16.390079

17.413639

17.470253

18.16955

16.23481

hep-th/0404063

Graziano Vernizzi

G. Akemann, Y.V. Fyodorov and G. Vernizzi

On matrix model partition functions for QCD with chemical potential

33 pages, 2 figures

Nucl.Phys. B694 (2004) 59-98

10.1016/j.nuclphysb.2004.06.017

SPhT-T04/029

hep-th

null

Partition functions of two different matrix models for QCD with chemical potential are computed for an arbitrary number of quark and complex conjugate anti-quark flavors. In the large-N limit of weak nonhermiticity complete agreement is found between the two models. This supports the universality of such fermionic partition functions, that is of products of characteristic polynomials in the complex plane. In the strong nonhermiticity limit agreement is found for an equal number of quark and conjugate flavours. For a general flavor content the equality of partition functions holds only for small chemical potential. The chiral phase transition is analyzed for an arbitrary number of quarks, where the free energy presents a discontinuity of first order at a critical chemical potential. In the case of nondegenerate flavors there is first order phase transition for each separate mass scale.

[ { "created": "Wed, 7 Apr 2004 14:58:39 GMT", "version": "v1" } ]

2010-04-05

[ [ "Akemann", "G.", "" ], [ "Fyodorov", "Y. V.", "" ], [ "Vernizzi", "G.", "" ] ]

Partition functions of two different matrix models for QCD with chemical potential are computed for an arbitrary number of quark and complex conjugate anti-quark flavors. In the large-N limit of weak nonhermiticity complete agreement is found between the two models. This supports the universality of such fermionic partition functions, that is of products of characteristic polynomials in the complex plane. In the strong nonhermiticity limit agreement is found for an equal number of quark and conjugate flavours. For a general flavor content the equality of partition functions holds only for small chemical potential. The chiral phase transition is analyzed for an arbitrary number of quarks, where the free energy presents a discontinuity of first order at a critical chemical potential. In the case of nondegenerate flavors there is first order phase transition for each separate mass scale.

8.848161

9.312966

9.48641

8.96589

9.551394

9.118397

9.54113

8.86436

8.953993

10.655584

8.757322

9.134719

8.93119

8.778131

8.625882

9.099383

8.964159

8.999743

8.997715

9.110922

8.86189

hep-th/0008021

Ignatov Alexander

A. M. Ignatov, V. P. Poponin

Pulse interaction in nonlinear vacuum electrodynamics

LaTeX, 5 pages, 2 EPS figures

null

10.1017/S0263034601194073

null

hep-th

null

The energy-momentum conservation law is used to investigate the interaction of pulses in the framework of nonlinear electrodynamics with Lorentz-invariant constitutive relations. It is shown that for the pulses of the arbitrary shape the interaction results in phase shift only.

[ { "created": "Wed, 2 Aug 2000 12:56:16 GMT", "version": "v1" } ]

2015-06-25

[ [ "Ignatov", "A. M.", "" ], [ "Poponin", "V. P.", "" ] ]

The energy-momentum conservation law is used to investigate the interaction of pulses in the framework of nonlinear electrodynamics with Lorentz-invariant constitutive relations. It is shown that for the pulses of the arbitrary shape the interaction results in phase shift only.

9.904243

9.907446

8.653085

7.468654

7.527171

7.878186

9.258595

8.773601

7.833575

8.018362

8.04898

8.67647

8.312564

8.317741

8.374766

8.862887

8.581438

8.765987

7.933155

8.131321

9.156362

1904.08530

Seung-Joo Lee

Yang-Hui He, Seung-Joo Lee

Distinguishing Elliptic Fibrations with AI

6 pages, 1 table, 4 figures; v2: four-fold learning vastly improved in section III.C, four-fold statistics fixed in table I, comments added on dataset enhancement

null

10.1016/j.physletb.2019.134889

CERN-TH-2019-046

hep-th math.AG

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

We use the latest techniques in machine-learning to study whether from the landscape of Calabi-Yau manifolds one can distinguish elliptically fibred ones. Using the dataset of complete intersections in products of projective spaces (CICY3 and CICY4, totalling about a million manifolds) as a concrete playground, we find that a relatively simple neural network with forward-feeding multi-layers can very efficiently distinguish the elliptic fibrations, much more so than using the traditional methods of manipulating the defining equations. We cross-check with control cases to ensure that the AI is not randomly guessing and is indeed identifying an inherent structure. Our result should prove useful in F-theory and string model building as well as in pure algebraic geometry.

[ { "created": "Wed, 17 Apr 2019 23:05:25 GMT", "version": "v1" }, { "created": "Fri, 10 May 2019 20:20:28 GMT", "version": "v2" } ]

2019-09-04

[ [ "He", "Yang-Hui", "" ], [ "Lee", "Seung-Joo", "" ] ]

We use the latest techniques in machine-learning to study whether from the landscape of Calabi-Yau manifolds one can distinguish elliptically fibred ones. Using the dataset of complete intersections in products of projective spaces (CICY3 and CICY4, totalling about a million manifolds) as a concrete playground, we find that a relatively simple neural network with forward-feeding multi-layers can very efficiently distinguish the elliptic fibrations, much more so than using the traditional methods of manipulating the defining equations. We cross-check with control cases to ensure that the AI is not randomly guessing and is indeed identifying an inherent structure. Our result should prove useful in F-theory and string model building as well as in pure algebraic geometry.

14.312849

11.995576

15.141512

11.002508

12.65801

12.024341

12.550911

11.648585

11.845266

15.550933

12.120619

11.774807

13.29676

12.019362

11.777226

11.985799

11.869081

12.522476

12.078025

13.586178

12.526102

1708.01411

Yan Peng

Yan Peng, Bin Wang, Yunqi Liu

On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box

12 pages, 6 figures. Accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1705.08694

Eur. Phys. J. C (2018) 78:176

10.1140/epjc/s10052-018-5652-0

null

hep-th

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

We study the asymptotically flat quasi-local black hole/hairy black hole model with nonzero mass of the scalar filed. We disclose effects of the scalar mass on transitions in a grand canonical ensemble with condensation behaviors of a parameter $\psi_{2}$, which is similar to approaches in holographic theories. We find that more negative scalar mass makes the phase transition easier to happen. We also obtain an analytical relation $\psi_{2}\varpropto(T_{c}-T)^{1/2}$ around the critical phase transition points implying a second order phase transition. Besides the parameter $\psi_{2}$, we show that metric solutions can be used to disclose properties of transitions. In this work, we observe that phase transitions in a box are strikingly similar to holographic transitions in the AdS gravity and the similarity provides insights into holographic theories.

[ { "created": "Fri, 4 Aug 2017 08:10:26 GMT", "version": "v1" }, { "created": "Sun, 17 Sep 2017 09:43:16 GMT", "version": "v2" }, { "created": "Wed, 28 Feb 2018 08:32:01 GMT", "version": "v3" } ]

2018-04-04

[ [ "Peng", "Yan", "" ], [ "Wang", "Bin", "" ], [ "Liu", "Yunqi", "" ] ]

We study the asymptotically flat quasi-local black hole/hairy black hole model with nonzero mass of the scalar filed. We disclose effects of the scalar mass on transitions in a grand canonical ensemble with condensation behaviors of a parameter $\psi_{2}$, which is similar to approaches in holographic theories. We find that more negative scalar mass makes the phase transition easier to happen. We also obtain an analytical relation $\psi_{2}\varpropto(T_{c}-T)^{1/2}$ around the critical phase transition points implying a second order phase transition. Besides the parameter $\psi_{2}$, we show that metric solutions can be used to disclose properties of transitions. In this work, we observe that phase transitions in a box are strikingly similar to holographic transitions in the AdS gravity and the similarity provides insights into holographic theories.

15.585894

15.003056

16.056543

15.010977

14.9719

15.357286

16.723667

14.450788

15.209358

17.265266

14.503443

15.010389

15.048076

14.837049

14.850894

14.610965

14.688168

14.800633

14.85346

15.897751

15.09797

hep-th/0207103

Stefano Foffa

Pre-big bang on the brane

Final version published on PRD; one reference added

Phys.Rev. D66 (2002) 063512

10.1103/PhysRevD.66.063512

null

hep-th

null

The equations of motion and junction conditions for a gravi-dilaton brane world scenario are studied in the string frame. It is shown that they allow Kasner-like solutions on the brane, which makes the dynamics of the brane very similar to the low curvature phase of pre-big bang cosmology. Analogies and differences of this scenario with the Randall-Sundrum one and with the standard bulk pre-big bang dynamics are also discussed.

[ { "created": "Thu, 11 Jul 2002 12:43:33 GMT", "version": "v1" }, { "created": "Wed, 17 Jul 2002 09:25:01 GMT", "version": "v2" }, { "created": "Fri, 4 Oct 2002 15:09:11 GMT", "version": "v3" } ]

2009-11-07

[ [ "Foffa", "Stefano", "" ] ]

The equations of motion and junction conditions for a gravi-dilaton brane world scenario are studied in the string frame. It is shown that they allow Kasner-like solutions on the brane, which makes the dynamics of the brane very similar to the low curvature phase of pre-big bang cosmology. Analogies and differences of this scenario with the Randall-Sundrum one and with the standard bulk pre-big bang dynamics are also discussed.

8.950821

8.083073

8.125392

7.901217

7.804944

8.444398

8.242333

7.896647

7.881633

8.42173

8.629651

8.278852

8.349241

8.187473

8.166489

7.990456

8.126599

8.093937

8.02059

8.368647

8.095864

hep-th/0410240

Clovis Wotzasek

Roberto Menezes and Clovis Wotzasek

On Duality Symmetry in Charged P-Form Theories

7 pages, Revtex4, accepted for publication Phys. Lett. B

Phys.Lett. B604 (2004) 242-249

10.1016/j.physletb.2004.10.039

null

hep-th

null

We study duality transformation and duality symmetry in the the electromagnetic-like charged p-form theories. It is shown that the dichotomic characterization of duality groups as $Z_2$ or SO(2) remains as the only possibilities but are now present in all dimensions even and odd. This is a property defined in the symplectic sector of the theory both for massive and massless tensors. It is shown that the duality groups depend, in general, both on the ranks of the fields and on the dimension of the spacetime. We search for the physical origin of this two-fold property and show that it is traceable to the dimensional and rank dependence of the parity of certain operator (a generalized-curl) that naturally decomposes the symplectic sector of the action. These operators are only slightly different in the massive and in the massless cases but their physical origin are quite distinct.

[ { "created": "Mon, 25 Oct 2004 19:45:57 GMT", "version": "v1" } ]

2009-11-10

[ [ "Menezes", "Roberto", "" ], [ "Wotzasek", "Clovis", "" ] ]

We study duality transformation and duality symmetry in the the electromagnetic-like charged p-form theories. It is shown that the dichotomic characterization of duality groups as $Z_2$ or SO(2) remains as the only possibilities but are now present in all dimensions even and odd. This is a property defined in the symplectic sector of the theory both for massive and massless tensors. It is shown that the duality groups depend, in general, both on the ranks of the fields and on the dimension of the spacetime. We search for the physical origin of this two-fold property and show that it is traceable to the dimensional and rank dependence of the parity of certain operator (a generalized-curl) that naturally decomposes the symplectic sector of the action. These operators are only slightly different in the massive and in the massless cases but their physical origin are quite distinct.

14.699018

13.641052

14.749242

13.189657

14.348201

13.150552

14.603085

13.438443

13.030956

14.649734

13.228015

13.818048

13.865138

13.475329

13.093204

13.714942

13.397035

13.070257

13.070877

13.77183

13.495138

2003.08351

Mikhail Solon

Clifford Cheung and Mikhail P. Solon

Classical Gravitational Scattering at ${\cal O}(G^3)$ from Feynman Diagrams

10 pages + references, 2 figures, 2 ancillary files

null

10.1007/JHEP06(2020)144

CALT-TH-2020-006

hep-th gr-qc hep-ph

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

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the test-particle limit in which the system is fully characterized by a particle propagating in a Schwarzschild spacetime. We assume a general choice of graviton field basis and gauge fixing that contains as a subset the well-known deDonder gauge and its various cousins. As a highly nontrivial consistency check, all gauge parameters evaporate from the final answer. Moreover, our result exactly matches that of Bern et al., here verified up to sixth post-Newtonian order while also reproducing the same unique velocity resummation at third post-Minkowksian order.

[ { "created": "Wed, 18 Mar 2020 17:29:57 GMT", "version": "v1" } ]

2020-07-15

[ [ "Cheung", "Clifford", "" ], [ "Solon", "Mikhail P.", "" ] ]

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the test-particle limit in which the system is fully characterized by a particle propagating in a Schwarzschild spacetime. We assume a general choice of graviton field basis and gauge fixing that contains as a subset the well-known deDonder gauge and its various cousins. As a highly nontrivial consistency check, all gauge parameters evaporate from the final answer. Moreover, our result exactly matches that of Bern et al., here verified up to sixth post-Newtonian order while also reproducing the same unique velocity resummation at third post-Minkowksian order.

14.481425

16.934643

13.765704

12.763736

14.485835

15.525305

15.041232

13.738287

13.995179

16.678223

13.986366

13.471106

13.499979

13.398041

13.784055

13.732651

13.344572

13.442135

13.545752

13.731974

13.411724

hep-th/0503215

Davide Gaiotto

D. Gaiotto

Long strings condensation and FZZT branes

15 pages, 3 figures

null

HUTP-05/A0014

hep-th

null

We propose a matrix model description of extended D-branes in 2D noncritical string

[ { "created": "Mon, 28 Mar 2005 12:21:41 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gaiotto", "D.", "" ] ]

We propose a matrix model description of extended D-branes in 2D noncritical string

21.386852

12.333753

22.466091

10.939632

10.454415

10.050146

11.998206

10.267005

11.514212

27.400217

13.044826

12.791034

23.592693

13.242161

13.171851

13.151452

12.733001

13.922777

14.095047

20.933039

14.201225

hep-th/0609052

Pallab Basu

Spenta R. Wadia

Gauge theory description of the fate of the small Schwarzschild blackhole

16 pages, 1 figure

null

10.1142/9789812770523_0025

TIFR /TH/06-27

hep-th

null

In this talk we discuss the fate of the small Schwarzschild blackhole of $AdS_5\times S^5$ using the AdS/CFT correspondence at finite temperature. The third order $N = \infty$ phase transition in the gauge theory corresponds to the blackhole-string transition. This singularity is resolved using a double scaling limit in the transition region. The phase transition becomes a smooth crossover where multiply wound Polyakov lines condense. In particular the density of states is also smooth at the crossover. We discuss the implications of our results for the singularity of the Lorenztian section of the small Schwarzschild blackhole. (\it {Talk given at the 12th Regional conference in Islamabad, Pakistan, based on hep-th/0605041})

[ { "created": "Thu, 7 Sep 2006 13:10:19 GMT", "version": "v1" } ]

2017-08-23

[ [ "Wadia", "Spenta R.", "" ] ]

In this talk we discuss the fate of the small Schwarzschild blackhole of $AdS_5\times S^5$ using the AdS/CFT correspondence at finite temperature. The third order $N = \infty$ phase transition in the gauge theory corresponds to the blackhole-string transition. This singularity is resolved using a double scaling limit in the transition region. The phase transition becomes a smooth crossover where multiply wound Polyakov lines condense. In particular the density of states is also smooth at the crossover. We discuss the implications of our results for the singularity of the Lorenztian section of the small Schwarzschild blackhole. (\it {Talk given at the 12th Regional conference in Islamabad, Pakistan, based on hep-th/0605041})

11.575333

10.735292

14.853344

11.31119

10.664859

10.788729

10.774701

10.612301

10.755852

13.455035

10.619406

10.974172

11.773731

11.160372

10.8821

10.772361

11.210818

11.000866

11.223291

12.13683

10.997819

hep-th/0207238

Francois Englert

Auttakit Chattaraputi, Francois Englert, Laurent Houart, Anne Taormina

The bosonic mother of fermionic D-branes

Latex file, 4 figures, 49 pages

JHEP 0209:037,2002

10.1088/1126-6708/2002/09/037

ULB-TH-02-21, DCPT-02-45

hep-th

null

We extend the search for fermionic subspaces of the bosonic string compactified on E8 X SO(16) lattices to include all fermionic D-branes. This extension constraints the truncation procedure previously proposed and relates the fermionic strings, supersymmetric or not, to the global structure of the SO(16) group. The specific properties of all the fermionic D-branes are found to be encoded in its universal covering, whose maximal toroid defines the configuration space torus of their mother bosonic theory.

[ { "created": "Fri, 26 Jul 2002 10:28:03 GMT", "version": "v1" } ]

2010-04-28

[ [ "Chattaraputi", "Auttakit", "" ], [ "Englert", "Francois", "" ], [ "Houart", "Laurent", "" ], [ "Taormina", "Anne", "" ] ]

We extend the search for fermionic subspaces of the bosonic string compactified on E8 X SO(16) lattices to include all fermionic D-branes. This extension constraints the truncation procedure previously proposed and relates the fermionic strings, supersymmetric or not, to the global structure of the SO(16) group. The specific properties of all the fermionic D-branes are found to be encoded in its universal covering, whose maximal toroid defines the configuration space torus of their mother bosonic theory.

17.167459

18.902174

21.034889

17.32255

18.629322

16.541592

18.265034

16.057278

18.161957

19.871971

17.564005

15.925563

18.481871

15.623568

16.410208

16.262312

16.243259

15.638503

16.616108

17.113977

15.679052

2212.08052

Renata Ferrero

Renata Ferrero and Chris Ripken

Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams

34 pages, 9 figures

JHEP 08 (2023) 199

10.1007/JHEP08(2023)199

MITP-22-104

hep-th gr-qc

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

We employ a manifestly covariant formalism to compute the tree-level amputated Green's function of non-minimally coupled scalar fields in quadratic gravity in a de Sitter background. We study this Green's function in the adiabatic limit, and construct the classical Newtonian potential. At short distances, the flat-spacetime Yukawa potential is reproduced, while the curvature gives rise to corrections to the potential at large distances. Beyond the Hubble radius, the potential vanishes identically, in agreement with the causal structure of de Sitter spacetime. For sub-Hubble distances, we investigate whether the modifications to the potential reproduce Modified Newtonian Dynamics.

[ { "created": "Thu, 15 Dec 2022 18:57:00 GMT", "version": "v1" }, { "created": "Thu, 31 Aug 2023 08:10:07 GMT", "version": "v2" } ]

2023-09-01

[ [ "Ferrero", "Renata", "" ], [ "Ripken", "Chris", "" ] ]

We employ a manifestly covariant formalism to compute the tree-level amputated Green's function of non-minimally coupled scalar fields in quadratic gravity in a de Sitter background. We study this Green's function in the adiabatic limit, and construct the classical Newtonian potential. At short distances, the flat-spacetime Yukawa potential is reproduced, while the curvature gives rise to corrections to the potential at large distances. Beyond the Hubble radius, the potential vanishes identically, in agreement with the causal structure of de Sitter spacetime. For sub-Hubble distances, we investigate whether the modifications to the potential reproduce Modified Newtonian Dynamics.

7.90186

7.629179

7.30854

7.370325

7.961538

7.939943

8.301053

7.360672

7.030786

7.689192

7.354012

7.53307

7.326593

7.255738

7.393583

7.546854

7.194983

7.398865

7.354525

7.288662

7.413664

hep-th/0409007

Dmitry Talalaev

A. Chervov, D. Talalaev

Universal G-oper and Gaudin eigenproblem

15 pages, the status of some statements changed

null

ITEP-TH-34/04

hep-th math.QA

null

This paper is devoted to the eigenvalue problem for the quantum Gaudin system. We prove the universal correspondence between eigenvalues of Gaudin Hamiltonians and the so-called G-opers without monodromy in general gl(n) case modulo a hypothesys on the analytic properties of the solution of a KZ-type equation. Firstly we explore the quantum analog of the characteristic polynomial which is a differential operator in a variable $u$ with the coefficients in U(gl(n))^{\otimes N}. We will call it "universal G-oper". It is constructed by the formula "Det"(L(u)-\partial_u) where L(u) is the quantum Lax operator for the Gaudin model and "Det" is appropriate definition of the determinant. The coefficients of this differential operator are quantum Gaudin Hamiltonians obtained by one of the authors (D.T. hep-th/0404153). We establish the correspondence between eigenvalues and $G$-opers as follows: taking eigen-values of the Gaudin's hamiltonians on the joint eigen-vector in the tensor product of finite-dimensional representation of gl(n) and substituting them into the universal G-oper we obtain the scalar differential operator (scalar G-oper) which conjecturally does not have monodromy. We strongly believe that our quantization of the Gaudin model coincides with quantization obtained from the center of universal enveloping algebra on the critical level and that our scalar G-oper coincides with the G-oper obtained by the geometric Langlands correspondence, hence it provides very simple and explicit map (Langlands correspondence) from Hitchin D-modules to G-opers in the case of rational base curves. It seems to be easy to generalize the constructions to the case of other semisimple Lie algebras and models like XYZ.

[ { "created": "Wed, 1 Sep 2004 13:32:23 GMT", "version": "v1" }, { "created": "Thu, 13 Jul 2006 11:19:56 GMT", "version": "v2" } ]

2016-09-06

[ [ "Chervov", "A.", "" ], [ "Talalaev", "D.", "" ] ]

This paper is devoted to the eigenvalue problem for the quantum Gaudin system. We prove the universal correspondence between eigenvalues of Gaudin Hamiltonians and the so-called G-opers without monodromy in general gl(n) case modulo a hypothesys on the analytic properties of the solution of a KZ-type equation. Firstly we explore the quantum analog of the characteristic polynomial which is a differential operator in a variable $u$ with the coefficients in U(gl(n))^{\otimes N}. We will call it "universal G-oper". It is constructed by the formula "Det"(L(u)-\partial_u) where L(u) is the quantum Lax operator for the Gaudin model and "Det" is appropriate definition of the determinant. The coefficients of this differential operator are quantum Gaudin Hamiltonians obtained by one of the authors (D.T. hep-th/0404153). We establish the correspondence between eigenvalues and $G$-opers as follows: taking eigen-values of the Gaudin's hamiltonians on the joint eigen-vector in the tensor product of finite-dimensional representation of gl(n) and substituting them into the universal G-oper we obtain the scalar differential operator (scalar G-oper) which conjecturally does not have monodromy. We strongly believe that our quantization of the Gaudin model coincides with quantization obtained from the center of universal enveloping algebra on the critical level and that our scalar G-oper coincides with the G-oper obtained by the geometric Langlands correspondence, hence it provides very simple and explicit map (Langlands correspondence) from Hitchin D-modules to G-opers in the case of rational base curves. It seems to be easy to generalize the constructions to the case of other semisimple Lie algebras and models like XYZ.

9.780766

12.06066

12.159068

10.306275

11.220568

11.605979

11.156959

10.487696

10.695372

11.759407

10.116167

9.757437

10.495185

9.815654

9.744306

9.959717

9.66256

9.876846

9.755384

10.112586

9.519473

1610.01519

Romulo Rougemont

Stefano I. Finazzo (Sao Paulo, IFT), Romulo Rougemont (Sao Paulo U.), Maicon Zaniboni (Sao Paulo U.), Renato Critelli (Sao Paulo U.), and Jorge Noronha (Sao Paulo U.)

Critical behavior of non-hydrodynamic quasinormal modes in a strongly coupled plasma

31 pages, 15 figures, version accepted for publication in JHEP

JHEP 01 (2017) 137

10.1007/JHEP01(2017)137

null

hep-th gr-qc nucl-th

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

We study the behavior of quasinormal modes in a top-down holographic dual corresponding to a strongly coupled $\mathcal{N} = 4$ super Yang-Mills plasma charged under a $U(1)$ subgroup of the global $SU(4)$ R-symmetry. In particular, we analyze the spectra of quasinormal modes in the external scalar and vector diffusion channels near the critical point and obtain the behavior of the characteristic equilibration times of the plasma as the system evolves towards the critical point of its phase diagram. Except close to the critical point, we observe that by increasing the chemical potential one generally increases the damping rate of the quasinormal modes, which leads to a reduction of the characteristic equilibration times in the dual strongly coupled plasma. However, as one approaches the critical point the typical equilibration time (as estimated from the lowest non-hydrodynamic quasinormal mode frequency) increases, although remaining finite, while its derivative with respect to the chemical potential diverges with exponent -1/2. We also find a purely imaginary non-hydrodynamical mode in the vector diffusion channel at nonzero chemical potential which dictates the equilibration time in this channel near the critical point.

[ { "created": "Wed, 5 Oct 2016 16:46:35 GMT", "version": "v1" }, { "created": "Tue, 31 Jan 2017 16:34:47 GMT", "version": "v2" } ]

2017-02-02

[ [ "Finazzo", "Stefano I.", "", "Sao Paulo, IFT" ], [ "Rougemont", "Romulo", "", "Sao Paulo U." ], [ "Zaniboni", "Maicon", "", "Sao Paulo U." ], [ "Critelli", "Renato", "", "Sao Paulo U." ], [ "Noronha", "Jorge", "", "Sao Paulo U." ] ]

We study the behavior of quasinormal modes in a top-down holographic dual corresponding to a strongly coupled $\mathcal{N} = 4$ super Yang-Mills plasma charged under a $U(1)$ subgroup of the global $SU(4)$ R-symmetry. In particular, we analyze the spectra of quasinormal modes in the external scalar and vector diffusion channels near the critical point and obtain the behavior of the characteristic equilibration times of the plasma as the system evolves towards the critical point of its phase diagram. Except close to the critical point, we observe that by increasing the chemical potential one generally increases the damping rate of the quasinormal modes, which leads to a reduction of the characteristic equilibration times in the dual strongly coupled plasma. However, as one approaches the critical point the typical equilibration time (as estimated from the lowest non-hydrodynamic quasinormal mode frequency) increases, although remaining finite, while its derivative with respect to the chemical potential diverges with exponent -1/2. We also find a purely imaginary non-hydrodynamical mode in the vector diffusion channel at nonzero chemical potential which dictates the equilibration time in this channel near the critical point.

5.782616

5.565009

5.911973

5.530497

5.748921

5.357367

5.416902

5.500167

5.531113

6.172918

5.394962

5.628619

5.802651

5.60362

5.533693

5.473618

5.470912

5.572436

5.560165

5.799667

5.597798

0812.2234

Yu Nakayama

Emerging AdS from Extremally Rotating NS5-branes

15 pages, v2: references added, numerical factors corrected, v3: boundary conditions clarified, to be published in PLB

Phys.Lett.B673:272-278,2009

10.1016/j.physletb.2009.02.031

UCB-PTH-08/78

hep-th

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

We investigate the near-horizon limit of extremally rotating NS5-branes. The resulting geometry has SL(2,R) \times U(1)^2 isometry. The asymptotic symmetry group contains a chiral Virasoro algebra, and we obtain two different realizations depending on the boundary conditions we impose. When one of the two angular momenta vanishes, the symmetry is enhanced to AdS_3. The entropy of the boundary theory can be estimated from the Cardy formula and it agrees with the Bekenstein-Hawking entropy of the bulk theory. We can embed the extremally rotating NS5-brane geometry in an exactly solvable string background, which may yield microscopic understanding of this duality, especially about the mysterious enhancement of the symmetry from AdS_2 to AdS_3. The construction suggests emerging Virasoro symmetries in the extreme corner of the (1+5) dimensional little string theory.

[ { "created": "Thu, 11 Dec 2008 20:09:59 GMT", "version": "v1" }, { "created": "Fri, 19 Dec 2008 18:30:57 GMT", "version": "v2" }, { "created": "Tue, 17 Feb 2009 07:07:29 GMT", "version": "v3" } ]

2009-03-24

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

We investigate the near-horizon limit of extremally rotating NS5-branes. The resulting geometry has SL(2,R) \times U(1)^2 isometry. The asymptotic symmetry group contains a chiral Virasoro algebra, and we obtain two different realizations depending on the boundary conditions we impose. When one of the two angular momenta vanishes, the symmetry is enhanced to AdS_3. The entropy of the boundary theory can be estimated from the Cardy formula and it agrees with the Bekenstein-Hawking entropy of the bulk theory. We can embed the extremally rotating NS5-brane geometry in an exactly solvable string background, which may yield microscopic understanding of this duality, especially about the mysterious enhancement of the symmetry from AdS_2 to AdS_3. The construction suggests emerging Virasoro symmetries in the extreme corner of the (1+5) dimensional little string theory.

7.996787

7.23012

8.733861

7.156615

7.375879

7.467796

7.709332

7.452538

7.391052

8.873419

7.01108

7.657257

7.789977

7.716666

7.504479

7.981863

7.633002

7.492878

7.504028

8.038233

7.58934

1810.09824

Tim Morris Prof

Tim R. Morris and Roberto Percacci

Trace anomaly and infrared cutoffs

23 pages, 2 figures; references added + extra discussion. Version to appear in PRD

Phys. Rev. D 99, 105007 (2019)

10.1103/PhysRevD.99.105007

null

hep-th

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

The Effective Average Action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realisation of the renormalization group.

[ { "created": "Tue, 23 Oct 2018 13:00:26 GMT", "version": "v1" }, { "created": "Sun, 19 May 2019 15:14:14 GMT", "version": "v2" } ]

2019-05-22

[ [ "Morris", "Tim R.", "" ], [ "Percacci", "Roberto", "" ] ]

The Effective Average Action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realisation of the renormalization group.

12.29795

11.214989

11.482245

11.049896

10.90338

12.269366

10.770718

11.43721

9.970708

13.566475

11.54176

11.169128

11.118863

11.044317

10.631869

10.49945

11.1961

10.678106

11.333273

10.962789

10.339893

2305.15992

Wenliang Li

Yongwei Guo, Wenliang Li

Solving anharmonic oscillator with null states: Hamiltonian bootstrap and Dyson-Schwinger equations

v3: 54 pages, typos corrected, references updated, discussions improved, Sec. 2.2 significantly expanded (high order results and comparison to the nonperturbative null bootstrap added)

null

10.1103/PhysRevD.108.125002

null

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

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

As basic quantum mechanical models, anharmonic oscillators are recently revisited by bootstrap methods. An effective approach is to make use of the positivity constraints in Hermitian theories. There exists an alternative avenue based on the null state condition, which applies to both Hermitian and non-Hermitian theories. In this work, we carry out an analytic bootstrap study of the quartic oscillator based on the small coupling expansion. In the Hamiltonian formalism, we obtain the anharmonic generalization of Dirac's ladder operators. Furthermore, the Schrodinger equation can be interpreted as a null state condition generated by an anharmonic ladder operator. This provides an explicit example in which dynamics is incorporated into the principle of nullness. In the Lagrangian formalism, we show that the existence of null states can effectively eliminate the indeterminacy of the Dyson-Schwinger equations and systematically determine $n$-point Green's functions.

[ { "created": "Thu, 25 May 2023 12:31:00 GMT", "version": "v1" }, { "created": "Fri, 8 Sep 2023 22:07:56 GMT", "version": "v2" }, { "created": "Sat, 2 Dec 2023 04:47:20 GMT", "version": "v3" } ]

2023-12-05

[ [ "Guo", "Yongwei", "" ], [ "Li", "Wenliang", "" ] ]

As basic quantum mechanical models, anharmonic oscillators are recently revisited by bootstrap methods. An effective approach is to make use of the positivity constraints in Hermitian theories. There exists an alternative avenue based on the null state condition, which applies to both Hermitian and non-Hermitian theories. In this work, we carry out an analytic bootstrap study of the quartic oscillator based on the small coupling expansion. In the Hamiltonian formalism, we obtain the anharmonic generalization of Dirac's ladder operators. Furthermore, the Schrodinger equation can be interpreted as a null state condition generated by an anharmonic ladder operator. This provides an explicit example in which dynamics is incorporated into the principle of nullness. In the Lagrangian formalism, we show that the existence of null states can effectively eliminate the indeterminacy of the Dyson-Schwinger equations and systematically determine $n$-point Green's functions.

10.011293

9.783528

10.987596

9.962332

9.806064

9.830955

9.668797

10.014268

9.57336

11.080966

9.398582

9.502672

9.639152

9.343531

9.832887

9.485709

9.332007

9.332955

9.32488

9.933421

9.526789

hep-th/9501106

Leonard Susskind

Leonard Susskind (Stanford University)

Trouble For Remnants

6 pages, phyzzx

null

SU-ITP-95-1

hep-th

null

An argument is presented for the inconsistency of black hole remnants which store the information which falls into black holes. Unlike previous arguments it is not concerned with a possible divergence in the rate of pair production. It is argued that the existence of remnants in the thermal atmosphere of Rindler space will drive the renormalized Newton constant to zero.

[ { "created": "Mon, 23 Jan 1995 22:14:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Susskind", "Leonard", "", "Stanford University" ] ]

An argument is presented for the inconsistency of black hole remnants which store the information which falls into black holes. Unlike previous arguments it is not concerned with a possible divergence in the rate of pair production. It is argued that the existence of remnants in the thermal atmosphere of Rindler space will drive the renormalized Newton constant to zero.

17.313944

14.519562

16.651154

15.080166

14.97889

14.925268

16.072376

14.470881

14.235385

17.701956

13.570854

12.724943

15.899632

13.452833

14.278496

12.532016

13.488995

13.925797

13.960889

15.165972

13.764675

1801.06554

Mario Martone

Philip C. Argyres and Mario Martone

Scaling dimensions of Coulomb branch operators of 4d N=2 superconformal field theories

6 pages, 1 figure

null

hep-th

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

Under reasonable assumptions about the complex structure of the set of singularities on the Coulomb branch of $\mathcal N=2$ superconformal field theories, we present a relatively simple and elementary argument showing that the scaling dimension, $\Delta$, of a Coulomb branch operator of a rank $r$ theory is allowed to take values in a finite set of rational numbers$\Delta\in \big[\frac{n}{m}\big|n,m\in\mathbb N, 0<m\le n, gcd(n,m)=1,\ \varphi(n)\le2r\big]$ where $\varphi(n)$ is the Euler totient function. The maximal dimension grows superlinearly with rank as $\Delta_\text{max} \sim r \ln\ln r$. This agrees with the recent result of Caorsi and Cecotti.

[ { "created": "Fri, 19 Jan 2018 19:09:46 GMT", "version": "v1" } ]

2018-01-23

[ [ "Argyres", "Philip C.", "" ], [ "Martone", "Mario", "" ] ]

Under reasonable assumptions about the complex structure of the set of singularities on the Coulomb branch of $\mathcal N=2$ superconformal field theories, we present a relatively simple and elementary argument showing that the scaling dimension, $\Delta$, of a Coulomb branch operator of a rank $r$ theory is allowed to take values in a finite set of rational numbers$\Delta\in \big[\frac{n}{m}\big|n,m\in\mathbb N, 0<m\le n, gcd(n,m)=1,\ \varphi(n)\le2r\big]$ where $\varphi(n)$ is the Euler totient function. The maximal dimension grows superlinearly with rank as $\Delta_\text{max} \sim r \ln\ln r$. This agrees with the recent result of Caorsi and Cecotti.

6.404746

7.311516

7.262114

6.184048

6.893908

6.669462

6.901393

6.390036

6.265775

7.026521

5.978136

6.21484

6.39615

5.978402

6.184267

6.197298

6.041065

6.18013

6.053407

6.04469

5.883897

hep-th/0002056

Chris Pope

M. Cvetic, H. Lu, C.N. Pope and A. Sadrzadeh

Consistency of Kaluza-Klein Sphere Reductions of Symmetric Potentials

Latex, 14 pages, minor corrections

Phys.Rev.D62:046005,2000

10.1103/PhysRevD.62.046005

null

hep-th

null

In a recent paper, the complete (non-linear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5 and 7 was presented, in terms of sphere reductions from D=11 or type IIB supergravity. The scalar fields included in the truncations were the diagonal fields in the SL(N,R)/SO(N) scalar submanifolds of the full scalar sectors of the corresponding maximal supergravities, with N=8, 6 and 5. The embeddings were used for obtaining an interpretation of extremal D=4, 5 or 7 AdS domain walls in terms of distributed M-branes or D-branes in the higher dimensions. Although strong supporting evidence for the correctness of the embedding Ansatze was presented, a full proof of the consistency was not given. Here, we complete the proof, by showing explicitly that the full set of higher-dimensional equations of motion are satisfied if and only if the lower-dimensional fields satisfy the relevant scalar plus gravity equations.

[ { "created": "Mon, 7 Feb 2000 21:43:49 GMT", "version": "v1" }, { "created": "Tue, 14 Mar 2000 16:20:39 GMT", "version": "v2" }, { "created": "Thu, 27 Apr 2000 22:40:31 GMT", "version": "v3" } ]

2009-09-17

[ [ "Cvetic", "M.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Sadrzadeh", "A.", "" ] ]

In a recent paper, the complete (non-linear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5 and 7 was presented, in terms of sphere reductions from D=11 or type IIB supergravity. The scalar fields included in the truncations were the diagonal fields in the SL(N,R)/SO(N) scalar submanifolds of the full scalar sectors of the corresponding maximal supergravities, with N=8, 6 and 5. The embeddings were used for obtaining an interpretation of extremal D=4, 5 or 7 AdS domain walls in terms of distributed M-branes or D-branes in the higher dimensions. Although strong supporting evidence for the correctness of the embedding Ansatze was presented, a full proof of the consistency was not given. Here, we complete the proof, by showing explicitly that the full set of higher-dimensional equations of motion are satisfied if and only if the lower-dimensional fields satisfy the relevant scalar plus gravity equations.

8.67314

7.439723

10.857326

7.824175

8.878822

8.295976

8.047226

7.971568

7.907663

10.537225

8.021791

8.208669

9.028414

7.996451

8.042843

8.099467

8.189807

7.920425

8.027063

8.765352

8.01088

2011.01959

Petr Kravchuk

Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Walter Landry, David Poland, David Simmons-Duffin

blocks_3d: Software for general 3d conformal blocks

33 pages + appendices

null

10.1007/JHEP11(2021)006

CALT-TH 2020-048

hep-th

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

We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion relations to numerically compute derivatives of blocks around a crossing-symmetric configuration. It is implemented as a heavily optimized, multithreaded, C++ application. We give performance benchmarks for correlators containing scalars, fermions, and stress tensors. As an example application, we recompute bootstrap bounds on four-point functions of fermions and study whether a previously observed sharp jump can be explained using the "fake primary" effect. We conclude that the fake primary effect cannot fully explain the jump and the possible existence of a "dead-end" CFT near the jump merits further study.

[ { "created": "Tue, 3 Nov 2020 19:02:22 GMT", "version": "v1" } ]

2021-11-24

[ [ "Erramilli", "Rajeev S.", "" ], [ "Iliesiu", "Luca V.", "" ], [ "Kravchuk", "Petr", "" ], [ "Landry", "Walter", "" ], [ "Poland", "David", "" ], [ "Simmons-Duffin", "David", "" ] ]

We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion relations to numerically compute derivatives of blocks around a crossing-symmetric configuration. It is implemented as a heavily optimized, multithreaded, C++ application. We give performance benchmarks for correlators containing scalars, fermions, and stress tensors. As an example application, we recompute bootstrap bounds on four-point functions of fermions and study whether a previously observed sharp jump can be explained using the "fake primary" effect. We conclude that the fake primary effect cannot fully explain the jump and the possible existence of a "dead-end" CFT near the jump merits further study.

12.71787

12.298683

13.520164

11.281917

11.489502

12.119019

11.164116

12.167731

11.243509

13.19811

12.313177

11.342332

11.410961

11.332169

11.491162

11.494948

11.172032

11.291687

11.24011

12.156596

11.793077

hep-th/9402084

Timothy Hollowood

T.J. Hollowood

The exact mass-gaps of the principal chiral models

11 pages, (macro included), CERN-TH.7164/94, SWAT/93-94/26

Phys.Lett. B329 (1994) 450-456

10.1016/0370-2693(94)91089-8

null

hep-th

null

An exact expression for the mass-gap, the ratio of the physical particle mass to the $\Lambda$-parameter, is found for the principal chiral sigma models associated to all the classical Lie algebras. The calculation is based on a comparison of the free-energy in the presence of a source coupling to a conserved charge of the theory computed in two ways: via the thermodynamic Bethe Ansatz from the exact scattering matrix and directly in perturbation theory. The calculation provides a non-trivial test of the form of the exact scattering matrix.

[ { "created": "Tue, 15 Feb 1994 12:58:16 GMT", "version": "v1" } ]

2009-10-28

[ [ "Hollowood", "T. J.", "" ] ]

An exact expression for the mass-gap, the ratio of the physical particle mass to the $\Lambda$-parameter, is found for the principal chiral sigma models associated to all the classical Lie algebras. The calculation is based on a comparison of the free-energy in the presence of a source coupling to a conserved charge of the theory computed in two ways: via the thermodynamic Bethe Ansatz from the exact scattering matrix and directly in perturbation theory. The calculation provides a non-trivial test of the form of the exact scattering matrix.

6.562621

6.048615

7.911395

6.249841

6.057944

6.297787

6.336208

6.716702

5.970595

8.913249

6.573407

6.235889

7.087839

6.590636

6.145245

6.309217

6.155425

6.497076

6.38881

6.969166

6.529477

1212.0024

Gianluca Inverso

Massimo Bianchi, Gianluca Inverso, Luca Martucci

Brane instantons and fluxes in F-theory

61 pages; v2: references added and typos corrected

null

10.1007/JHEP07(2013)037

null

hep-th

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

We study the combined effect of world-volume and background fluxes on Euclidean D3-brane instantons in F-theory compactifications. We derive an appropriate form of the fermionic effective action, in which the fermions are topologically twisted and the dynamical effect of fluxes, non-trivial axio-dilaton and warping is taken into account. We study the structure of fermionic zero modes, which determines the form of possible non-perturbative superpotential and F-terms in the four-dimensional effective action. Invariance under SL(2,Z) is discussed in detail, which allows for an interpretation of the results in terms of the dual M5-brane instanton in the M-theory picture. We also provide the perturbative IIB description in the orientifold limit, when available. Furthermore, we consider the possible inclusion of supersymmetry breaking bulk fluxes and discuss its implications.

[ { "created": "Fri, 30 Nov 2012 22:02:52 GMT", "version": "v1" }, { "created": "Mon, 23 Sep 2013 14:20:09 GMT", "version": "v2" } ]

2015-06-12

[ [ "Bianchi", "Massimo", "" ], [ "Inverso", "Gianluca", "" ], [ "Martucci", "Luca", "" ] ]

We study the combined effect of world-volume and background fluxes on Euclidean D3-brane instantons in F-theory compactifications. We derive an appropriate form of the fermionic effective action, in which the fermions are topologically twisted and the dynamical effect of fluxes, non-trivial axio-dilaton and warping is taken into account. We study the structure of fermionic zero modes, which determines the form of possible non-perturbative superpotential and F-terms in the four-dimensional effective action. Invariance under SL(2,Z) is discussed in detail, which allows for an interpretation of the results in terms of the dual M5-brane instanton in the M-theory picture. We also provide the perturbative IIB description in the orientifold limit, when available. Furthermore, we consider the possible inclusion of supersymmetry breaking bulk fluxes and discuss its implications.

7.831135

7.152421

8.786013

7.01666

6.835248

6.846539

7.260545

6.967527

7.009907

9.108974

6.820412

7.094934

7.980299

7.124744

7.087853

7.26918

7.267035

7.186947

7.252167

7.952445

7.090225

1701.07771

Bret Underwood

S. Shajidul Haque and Bret Underwood

Consistent Cosmic Bubble Embeddings

9 pages, 4 figures. v2: updated references. v3: matches published version

Phys. Rev. D 95, 103513 (2017)

10.1103/PhysRevD.95.103513

null

hep-th gr-qc

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

The Raychaudhuri equation for null rays is a powerful tool for finding consistent embeddings of cosmological bubbles into a background spacetime in a way that is largely independent of the matter content. We find that spatially flat or positively curved thin wall bubbles surrounded by a cosmological background must have a Hubble expansion that is either contracting or expanding slower than the background, which are more stringent constraints than those obtained by the usual Israel thin-wall formalism. Similarly, a cosmological bubble surrounded by Schwarzschild space, occasionally used as a simple "swiss cheese" model of inhomogenities in an expanding universe, must be contracting (for spatially flat and positively curved bubbles) and bounded in size by the apparent horizon.

[ { "created": "Thu, 26 Jan 2017 16:53:05 GMT", "version": "v1" }, { "created": "Thu, 2 Feb 2017 23:27:18 GMT", "version": "v2" }, { "created": "Wed, 31 May 2017 16:12:11 GMT", "version": "v3" } ]

2017-06-01

[ [ "Haque", "S. Shajidul", "" ], [ "Underwood", "Bret", "" ] ]

The Raychaudhuri equation for null rays is a powerful tool for finding consistent embeddings of cosmological bubbles into a background spacetime in a way that is largely independent of the matter content. We find that spatially flat or positively curved thin wall bubbles surrounded by a cosmological background must have a Hubble expansion that is either contracting or expanding slower than the background, which are more stringent constraints than those obtained by the usual Israel thin-wall formalism. Similarly, a cosmological bubble surrounded by Schwarzschild space, occasionally used as a simple "swiss cheese" model of inhomogenities in an expanding universe, must be contracting (for spatially flat and positively curved bubbles) and bounded in size by the apparent horizon.

11.348454

13.537183

11.575606

10.98714

12.472286

12.480174

12.513988

10.708866

12.621985

11.435802

12.315737

11.359219

10.604934

10.490815

10.450977

11.197032

11.383364

10.559336

10.944775

10.77035

10.824273