LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

0901.3731

Ji-Feng Yang

J.-F. Yang

A note on nonperturbative renormalization of effective field theory

6 pages, no figure, version to appear in J.Phys.A

J.Phys.A42:345402,2009

10.1088/1751-8113/42/34/345402

null

hep-th hep-ph nucl-th quant-ph

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

Within the realm of contact potentials, the key structures intrinsic of nonperturbative renormalization of $T$-matrices are unraveled using rigorous solutions and an inverse form of algebraic Lippmann-schwinger equation. The intrinsic mismatches between effective field theory power counting and nonperturbative divergence structures are shown for the first time to preclude the conventional counterterm algorithm from working in the renormalization of EFT for $NN$ scattering in nonperturbative regimes.

[ { "created": "Fri, 23 Jan 2009 17:26:35 GMT", "version": "v1" }, { "created": "Wed, 4 Feb 2009 03:18:45 GMT", "version": "v2" }, { "created": "Tue, 28 Apr 2009 23:40:30 GMT", "version": "v3" }, { "created": "Tue, 28 Jul 2009 03:24:39 GMT", "version": "v4" } ]

2009-08-12

[ [ "Yang", "J. -F.", "" ] ]

Within the realm of contact potentials, the key structures intrinsic of nonperturbative renormalization of $T$-matrices are unraveled using rigorous solutions and an inverse form of algebraic Lippmann-schwinger equation. The intrinsic mismatches between effective field theory power counting and nonperturbative divergence structures are shown for the first time to preclude the conventional counterterm algorithm from working in the renormalization of EFT for $NN$ scattering in nonperturbative regimes.

24.506781

22.66325

23.178274

20.978418

21.115913

23.552315

20.172651

22.362045

20.712816

22.586103

22.637335

21.929686

20.414957

20.267206

20.09449

20.630344

20.799109

21.905926

20.652071

20.975323

20.363247

hep-th/0202002

Frank Ferrari

Frank Ferrari (Neuchatel and Princeton U.)

Large N and double scaling limits in two dimensions

38 pages, including an introductory section that makes the paper self-contained, two figures and one appendix; v2: typos corrected

JHEP 0205:044,2002

10.1088/1126-6708/2002/05/044

NEIP-01-008, PUPT-1997, LPTENS-01/11

hep-th

null

Recently, the author has constructed a series of four dimensional non-critical string theories with eight supercharges, dual to theories of light electric and magnetic charges, for which exact formulas for the central charge of the space-time supersymmetry algebra as a function of the world-sheet couplings were obtained. The basic idea was to generalize the old matrix model approach, replacing the simple matrix integrals by the four dimensional matrix path integrals of N=2 supersymmetric Yang-Mills theory, and the Kazakov critical points by the Argyres-Douglas critical points. In the present paper, we study qualitatively similar toy path integrals corresponding to the two dimensional N=2 supersymmetric non-linear sigma model with target space CP^n and twisted mass terms. This theory has some very strong similarities with N=2 super Yang-Mills, including the presence of critical points in the vicinity of which the large n expansion is IR divergent. The model being exactly solvable at large n, we can study non-BPS observables and give full proofs that double scaling limits exist and correspond to universal continuum limits. A complete characterization of the double scaled theories is given. We find evidence for dimensional transmutation of the string coupling in some non-critical string theories. We also identify en passant some non-BPS particles that become massless at the singularities in addition to the usual BPS states.

[ { "created": "Fri, 1 Feb 2002 13:51:18 GMT", "version": "v1" }, { "created": "Fri, 7 Jun 2002 14:55:10 GMT", "version": "v2" } ]

2014-11-18

[ [ "Ferrari", "Frank", "", "Neuchatel and Princeton U." ] ]

Recently, the author has constructed a series of four dimensional non-critical string theories with eight supercharges, dual to theories of light electric and magnetic charges, for which exact formulas for the central charge of the space-time supersymmetry algebra as a function of the world-sheet couplings were obtained. The basic idea was to generalize the old matrix model approach, replacing the simple matrix integrals by the four dimensional matrix path integrals of N=2 supersymmetric Yang-Mills theory, and the Kazakov critical points by the Argyres-Douglas critical points. In the present paper, we study qualitatively similar toy path integrals corresponding to the two dimensional N=2 supersymmetric non-linear sigma model with target space CP^n and twisted mass terms. This theory has some very strong similarities with N=2 super Yang-Mills, including the presence of critical points in the vicinity of which the large n expansion is IR divergent. The model being exactly solvable at large n, we can study non-BPS observables and give full proofs that double scaling limits exist and correspond to universal continuum limits. A complete characterization of the double scaled theories is given. We find evidence for dimensional transmutation of the string coupling in some non-critical string theories. We also identify en passant some non-BPS particles that become massless at the singularities in addition to the usual BPS states.

10.870688

11.411576

12.165897

11.050344

11.540822

11.667185

11.356164

10.959211

11.012518

14.055614

10.721684

10.591395

11.050454

10.844568

10.595726

10.734299

10.861973

10.877034

11.072761

11.625571

10.830975

hep-th/9804129

Leopoldo Pando

Mikhail Z. Iofa and Leopoldo A. Pando Zayas

Statistical Entropy of Calabi-Yau Black Holes

11 pages, Latex

Phys. Rev. D 59, 064023 (1999)

10.1103/PhysRevD.59.064023

NPI-MSU-98-38/492

hep-th

null

We computed the statistical entropy of nonextremal 4D and extremal 5D Calabi-Yau black holes and found exact agreement with the Bekenstein-Hawking entropy. The computation is based on the fact that the near-horizon geometry of equivalent representations contains as a factor the Ba\~nados-Teitelboim-Zanelli black hole and on subsequent use of Strominger's proposal generalizing the statistical count of microstates of the BTZ black hole due to Carlip.

[ { "created": "Mon, 20 Apr 1998 07:46:53 GMT", "version": "v1" } ]

2016-08-25

[ [ "Iofa", "Mikhail Z.", "" ], [ "Zayas", "Leopoldo A. Pando", "" ] ]

We computed the statistical entropy of nonextremal 4D and extremal 5D Calabi-Yau black holes and found exact agreement with the Bekenstein-Hawking entropy. The computation is based on the fact that the near-horizon geometry of equivalent representations contains as a factor the Ba\~nados-Teitelboim-Zanelli black hole and on subsequent use of Strominger's proposal generalizing the statistical count of microstates of the BTZ black hole due to Carlip.

8.049984

7.178279

7.278479

6.641007

7.005758

6.666542

6.857888

6.661459

6.67871

7.20609

6.700745

6.488752

7.306236

6.482678

6.217415

6.646286

6.475818

6.854338

6.823847

7.016253

6.763855

1512.01397

Yu. A. Sitenko

Yu. A. Sitenko and S. A. Yushchenko

Pressure from the vacuum of confined spinor matter

42 pages, 1 figure

Intern. J. Mod. Phys. A 30, No.30, 1550184 (2015)

10.1142/S0217751X15501845

null

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

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

Charged spinor matter field is quantized in a spatial region bounded by two parallel neutral plates. The most general set of boundary conditions ensuring the confinement of matter within the plates is considered. We study a response of the vacuum of the confined matter to the background uniform magnetic field which is directed orthogonally to the plates. It is proven that, in the case of a sufficiently strong magnetic field, the vacuum pressure onto the plates is positive and independent of the boundary condition, as well as of the distance between the plates.

[ { "created": "Fri, 4 Dec 2015 13:04:00 GMT", "version": "v1" } ]

2015-12-07

[ [ "Sitenko", "Yu. A.", "" ], [ "Yushchenko", "S. A.", "" ] ]

Charged spinor matter field is quantized in a spatial region bounded by two parallel neutral plates. The most general set of boundary conditions ensuring the confinement of matter within the plates is considered. We study a response of the vacuum of the confined matter to the background uniform magnetic field which is directed orthogonally to the plates. It is proven that, in the case of a sufficiently strong magnetic field, the vacuum pressure onto the plates is positive and independent of the boundary condition, as well as of the distance between the plates.

8.628332

6.200781

7.958261

6.355687

5.854797

5.50537

5.18184

5.408267

6.815191

8.268335

6.334373

6.426376

7.747024

7.083691

6.829963

6.777678

6.633352

6.826402

6.669545

7.570807

7.066819

2011.12318

Shiyong Li

Shiyong Li, Mikhail A. Stephanov, and Ho-Ung Yee

Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics

7 pages, accepted for publication in PRL

Phys. Rev. Lett. 127, 082302 (2021)

10.1103/PhysRevLett.127.082302

null

hep-th nucl-th

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

We derive a set of nontrivial relations between second-order transport coefficients which follow from the second law of thermodynamics upon considering a regime close to uniform rotation of the fluid. We demonstrate that extension of hydrodynamics by spin variable is equivalent to modifying conventional hydrodynamics by a set of second-order terms satisfying the relations we derived. We point out that a novel contribution to the heat current orthogonal to vorticity and temperature gradient reminiscent of the thermal Hall effect is constrained by the second law.

[ { "created": "Tue, 24 Nov 2020 19:00:12 GMT", "version": "v1" }, { "created": "Mon, 21 Dec 2020 19:21:42 GMT", "version": "v2" }, { "created": "Fri, 20 Aug 2021 16:25:28 GMT", "version": "v3" } ]

2021-08-25

[ [ "Li", "Shiyong", "" ], [ "Stephanov", "Mikhail A.", "" ], [ "Yee", "Ho-Ung", "" ] ]

We derive a set of nontrivial relations between second-order transport coefficients which follow from the second law of thermodynamics upon considering a regime close to uniform rotation of the fluid. We demonstrate that extension of hydrodynamics by spin variable is equivalent to modifying conventional hydrodynamics by a set of second-order terms satisfying the relations we derived. We point out that a novel contribution to the heat current orthogonal to vorticity and temperature gradient reminiscent of the thermal Hall effect is constrained by the second law.

14.52646

13.030413

14.776563

13.324172

12.967502

12.108904

13.135263

13.545095

13.009329

15.311912

13.441565

13.789979

14.531693

13.861548

14.03847

13.645223

14.052541

14.534757

13.240144

14.965968

13.854336

2311.00742

Emanuel Malek

Bastien Duboeuf, Emanuel Malek, Henning Samtleben

Cubic and higher-order supergravity couplings for AdS vacua using Exceptional Field Theory

25 pages

null

HU-EP-23/60

hep-th gr-qc

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

We show how to use Exceptional Field Theory to efficiently compute $n$-point couplings of all Kaluza-Klein modes for vacua that can be uplifted from maximal gauged supergravities to 10/11 dimensions via a consistent truncation. Via the AdS/CFT correspondence, these couplings encode the $n$-point functions of holographic conformal fields theories. Our methods show that these $n$-point couplings are controlled by the $n$-point invariant of scalar harmonics of the maximally symmetric point of the truncation, allowing us to show that infinitely-many $n$-point couplings vanish for any vacua of the truncation, even though they may be allowed by the remnant symmetry group of the vacua. This gives new results even for the maximally supersymmetric AdS$_5 \times S^5$, AdS$_4 \times S^7$ and AdS$_7 \times S^4$ vacua of string and M-theory, where we prove old conjectures about the vanishing of $n$-point extremal and near-extremal couplings. Focusing in particular on cubic couplings for vacua of 5-dimensional gauged supergravity, we derive explicit universal formulae encoding these couplings for any vacuum within a consistent truncation. We use this to compute known and new couplings involving spin-0, spin-1, spin-2 for the AdS$_5 \times S^5$ vacuum of IIB string theory.

[ { "created": "Wed, 1 Nov 2023 18:00:00 GMT", "version": "v1" } ]

2023-11-03

[ [ "Duboeuf", "Bastien", "" ], [ "Malek", "Emanuel", "" ], [ "Samtleben", "Henning", "" ] ]

We show how to use Exceptional Field Theory to efficiently compute $n$-point couplings of all Kaluza-Klein modes for vacua that can be uplifted from maximal gauged supergravities to 10/11 dimensions via a consistent truncation. Via the AdS/CFT correspondence, these couplings encode the $n$-point functions of holographic conformal fields theories. Our methods show that these $n$-point couplings are controlled by the $n$-point invariant of scalar harmonics of the maximally symmetric point of the truncation, allowing us to show that infinitely-many $n$-point couplings vanish for any vacua of the truncation, even though they may be allowed by the remnant symmetry group of the vacua. This gives new results even for the maximally supersymmetric AdS$_5 \times S^5$, AdS$_4 \times S^7$ and AdS$_7 \times S^4$ vacua of string and M-theory, where we prove old conjectures about the vanishing of $n$-point extremal and near-extremal couplings. Focusing in particular on cubic couplings for vacua of 5-dimensional gauged supergravity, we derive explicit universal formulae encoding these couplings for any vacuum within a consistent truncation. We use this to compute known and new couplings involving spin-0, spin-1, spin-2 for the AdS$_5 \times S^5$ vacuum of IIB string theory.

5.771276

5.683646

6.237556

5.596181

5.700456

5.72599

5.835511

5.726888

5.610126

6.251134

5.665897

5.705079

5.71768

5.593615

5.693346

5.539025

5.590549

5.596323

5.702789

5.805787

5.68299

1012.3961

Futoshi Yagi

Seiji Terashima, Futoshi Yagi

On Effective Action of Multiple M5-branes and ABJM Action

21 pages; v2:version to appear in JHEP

JHEP 1103:036,2011

10.1007/JHEP03(2011)036

YITP-10-98, IHES/P/10/45

hep-th

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

We calculate the fluctuations from the classical multiple M5-brane solution of ABJM action which we found in the previous paper. We obtain D4-brane-like action but the gauge coupling constant depends on the spacetime coordinate. This is consistent with the expected properties of M5-brane action, although we will need to take into account the monopole operators in order to fully understand M5-branes. We also see that the Nambu-Poisson bracket is hidden in the solution.

[ { "created": "Fri, 17 Dec 2010 18:54:23 GMT", "version": "v1" }, { "created": "Tue, 22 Feb 2011 16:04:07 GMT", "version": "v2" } ]

2011-03-18

[ [ "Terashima", "Seiji", "" ], [ "Yagi", "Futoshi", "" ] ]

We calculate the fluctuations from the classical multiple M5-brane solution of ABJM action which we found in the previous paper. We obtain D4-brane-like action but the gauge coupling constant depends on the spacetime coordinate. This is consistent with the expected properties of M5-brane action, although we will need to take into account the monopole operators in order to fully understand M5-branes. We also see that the Nambu-Poisson bracket is hidden in the solution.

11.508125

10.148317

14.614769

10.20384

9.813828

10.245533

10.985065

9.680051

10.472318

17.669155

9.952602

10.146492

11.984773

10.160412

10.14104

10.04351

10.284954

10.124107

10.396305

11.625471

10.182258

hep-th/0004046

Solange Odile Saliu

C. Bizdadea, E. M. Cioroianu, S. O. Saliu

Irreducible Hamiltonian BRST symmetry for reducible first-class systems

Latex 2.09, 23 pages, to appear in Int. J. Mod. Phys. A

Int.J.Mod.Phys. A15 (2000) 3001-3018

10.1142/S0217751X00001178

null

hep-th

null

An irreducible Hamiltonian BRST quantization method for reducible first-class systems is proposed. The general theory is illustrated on a two-stage reducible model, the link with the standard reducible BRST treatment being also emphasized.

[ { "created": "Fri, 7 Apr 2000 10:35:27 GMT", "version": "v1" } ]

2016-12-28

[ [ "Bizdadea", "C.", "" ], [ "Cioroianu", "E. M.", "" ], [ "Saliu", "S. O.", "" ] ]

An irreducible Hamiltonian BRST quantization method for reducible first-class systems is proposed. The general theory is illustrated on a two-stage reducible model, the link with the standard reducible BRST treatment being also emphasized.

12.914762

9.430238

14.829509

9.487082

10.315713

8.893304

9.91444

8.996062

9.431551

12.113542

8.72703

10.3729

12.053406

10.386016

9.677342

9.845571

9.887499

10.335351

10.082899

11.681149

10.511618

1009.3032

Daniel Baumann

Daniel Baumann and Daniel Green

Inflating with Baryons

5 pages

JHEP 1104:071,2011

10.1007/JHEP04(2011)071

null

hep-th astro-ph.CO hep-ph

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

We present a field theory solution to the eta problem. By making the inflaton field the phase of a baryon of SU(N_c) supersymmetric Yang-Mills theory we show that all operators that usually spoil the flatness of the inflationary potential are absent. Our solution naturally generalizes to non-supersymmetric theories.

[ { "created": "Wed, 15 Sep 2010 20:14:10 GMT", "version": "v1" } ]

2011-04-20

[ [ "Baumann", "Daniel", "" ], [ "Green", "Daniel", "" ] ]

We present a field theory solution to the eta problem. By making the inflaton field the phase of a baryon of SU(N_c) supersymmetric Yang-Mills theory we show that all operators that usually spoil the flatness of the inflationary potential are absent. Our solution naturally generalizes to non-supersymmetric theories.

12.2611

11.149472

11.66773

10.48174

11.563933

12.472324

9.967504

11.269314

10.761307

12.05762

10.827143

10.644526

11.926063

10.803215

11.372576

10.43799

10.634824

10.69934

11.011344

12.08762

11.383497

1106.1172

Tatsuma Nishioka

Tatsuma Nishioka and Yuji Tachikawa

Para-Liouville/Toda central charges from M5-branes

5 pages

Phys.Rev.D84:046009,2011

10.1103/PhysRevD.84.046009

PUPT-2382

hep-th

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

We propose that N M5-branes, put on R^4/Z_m with deformation parameters epsilon_{1,2}, realize two-dimensional theory with SU(m)_N symmetry and m-th para-W_N symmetry. This includes the standard W_N symmetry for m=1 and super-Viraroro symmetry for m=N=2. We provide a small check of this proposal by calculating the central charge of the 2d theory from the anomaly polynomial of the 6d theory.

[ { "created": "Mon, 6 Jun 2011 20:00:04 GMT", "version": "v1" } ]

2011-09-14

[ [ "Nishioka", "Tatsuma", "" ], [ "Tachikawa", "Yuji", "" ] ]

We propose that N M5-branes, put on R^4/Z_m with deformation parameters epsilon_{1,2}, realize two-dimensional theory with SU(m)_N symmetry and m-th para-W_N symmetry. This includes the standard W_N symmetry for m=1 and super-Viraroro symmetry for m=N=2. We provide a small check of this proposal by calculating the central charge of the 2d theory from the anomaly polynomial of the 6d theory.

16.390825

14.500607

20.358477

14.092231

14.048407

14.310399

15.093046

13.810892

13.157972

25.045868

12.923073

13.261357

17.248487

13.582197

13.318538

14.377342

13.046166

13.388533

14.201516

16.529362

13.883113

hep-th/0010205

Kimball A. Milton

Iver Brevik, Kimball A. Milton, Shin'ichi Nojiri, and Sergei D. Odintsov

Quantum (In)Stability of a Brane-World AdS$\bf_5$ Universe at Nonzero Temperature

15 pages, REVTeX, no figures. New version inclues extended discussion and examples in Sec. IV

Nucl.Phys.B599:305-318,2001

10.1016/S0550-3213(01)00026-8

OKHEP-00-11

hep-th hep-ph

null

We consider the quantum effects of bulk matter (scalars, spinors) in the Randall-Sundrum AdS$_5$ brane-world at nonzero temperature. The thermodynamic energy (modulus potential) is evaluated at low and high temperatures. This potential has an extremum which could be a minimum in some cases (for example, for a single fermion). That suggests a new dynamical mechanism to stabilize the thermal AdS$_5$ brane-world. It is shown that the brane separation required to solve the hierarchy scale problem may occur at a quite low temperature. A natural generalization in terms of the AdS/CFT correspondence (through the supergravity thermal contribution) is also possible.

[ { "created": "Mon, 23 Oct 2000 22:16:59 GMT", "version": "v1" }, { "created": "Wed, 1 Nov 2000 16:07:49 GMT", "version": "v2" } ]

2009-01-14

[ [ "Brevik", "Iver", "" ], [ "Milton", "Kimball A.", "" ], [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]

We consider the quantum effects of bulk matter (scalars, spinors) in the Randall-Sundrum AdS$_5$ brane-world at nonzero temperature. The thermodynamic energy (modulus potential) is evaluated at low and high temperatures. This potential has an extremum which could be a minimum in some cases (for example, for a single fermion). That suggests a new dynamical mechanism to stabilize the thermal AdS$_5$ brane-world. It is shown that the brane separation required to solve the hierarchy scale problem may occur at a quite low temperature. A natural generalization in terms of the AdS/CFT correspondence (through the supergravity thermal contribution) is also possible.

13.467095

10.726026

12.542042

11.49886

10.864482

10.337229

11.149787

11.207536

10.951692

15.799719

11.508575

11.850629

12.291396

11.81833

11.678735

11.981801

11.974045

12.2301

11.757131

12.637253

11.835818

1406.4152

Junpu Wang

Jared Kaplan and Junpu Wang

An Effective Theory for Holographic RG Flows

36 Pages (23 pages main text; 13 Pages Appendix); 3 figures

null

10.1007/JHEP02(2015)056

null

hep-th

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

We study the dilaton action induced by RG flows between holographic CFT fixed points. For this purpose we introduce a general bulk effective theory for the goldstone boson of the broken spacetime symmetry, providing an AdS analog of the EFT of Inflation. In two dimensions, we use the effective theory to compute the dilaton action, as well as the UV and IR conformal anomalies, without further assumptions. In higher dimensions we take a `slow-flow' limit analogous to the assumption of slow-roll in Inflation, and in this context we obtain the dilaton action, focusing on terms proportional to the difference of the A-type anomalies. We include Gauss-Bonnet terms in the gravitational action in order to verify that our method correctly differentiates between A-type and other anomalies.

[ { "created": "Mon, 16 Jun 2014 20:04:29 GMT", "version": "v1" } ]

2015-06-22

[ [ "Kaplan", "Jared", "" ], [ "Wang", "Junpu", "" ] ]

We study the dilaton action induced by RG flows between holographic CFT fixed points. For this purpose we introduce a general bulk effective theory for the goldstone boson of the broken spacetime symmetry, providing an AdS analog of the EFT of Inflation. In two dimensions, we use the effective theory to compute the dilaton action, as well as the UV and IR conformal anomalies, without further assumptions. In higher dimensions we take a `slow-flow' limit analogous to the assumption of slow-roll in Inflation, and in this context we obtain the dilaton action, focusing on terms proportional to the difference of the A-type anomalies. We include Gauss-Bonnet terms in the gravitational action in order to verify that our method correctly differentiates between A-type and other anomalies.

11.574607

10.551945

12.595364

10.840022

10.277733

10.761374

10.845768

10.947572

10.641425

12.543351

10.866939

10.647425

12.125377

10.670599

10.672638

10.812778

10.696723

10.641725

10.843513

11.043831

10.587612

hep-th/9301126

Dayi Omer Faruk

O. F. Dayi

BFV--BRST Analysis of the Classical and Quantum q-deformations of the sl(2) Algebra

15 pages, Plain Latex (latex twice), IC/93/5

J.Phys.A27:219-230,1994

10.1088/0305-4470/27/1/016

null

hep-th

null

BFV--BRST charge for q-deformed algebras is not unique. Different constructions of it in the classical as well as in the quantum phase space for the $q$-deformed algebra sl_q(2) are discussed. Moreover, deformation of the phase space without deforming the generators of sl(2) is considered. $\hbar$-q-deformation of the phase space is shown to yield the Witten's second deformation. To study the BFV--BRST cohomology problem when both the quantum phase space and the group are deformed, a two parameter deformation of sl(2) is proposed, and its BFV-BRST charge is given.

[ { "created": "Fri, 29 Jan 1993 16:34:24 GMT", "version": "v1" } ]

2011-07-19

[ [ "Dayi", "O. F.", "" ] ]

BFV--BRST charge for q-deformed algebras is not unique. Different constructions of it in the classical as well as in the quantum phase space for the $q$-deformed algebra sl_q(2) are discussed. Moreover, deformation of the phase space without deforming the generators of sl(2) is considered. $\hbar$-q-deformation of the phase space is shown to yield the Witten's second deformation. To study the BFV--BRST cohomology problem when both the quantum phase space and the group are deformed, a two parameter deformation of sl(2) is proposed, and its BFV-BRST charge is given.

11.503801

10.317066

10.688667

9.237915

10.409882

9.467121

9.835623

9.546288

9.311151

11.877503

9.313097

9.067589

9.364391

9.064597

8.977748

8.687437

8.920577

8.890105

8.743543

10.113151

8.862945

1205.0290

Erich Poppitz

Erich Poppitz, Thomas Schaefer, Mithat Unsal

Continuity, Deconfinement, and (Super) Yang-Mills Theory

A discussion of the non-cancellation of the nonzero mode determinants around supersymmetric monopole-instantons in N=1 SYM on R^3xS^1 is added, including an explicit calculation. The non-cancellation is, in fact, required by supersymmetry and holomorphy in order for the affine-Toda superpotential to be reproduced. References have also been added

null

10.1007/JHEP10(2012)115

null

hep-th hep-lat hep-ph

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

We study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on R^3xS^1 as a function of the fermion mass m and the compactification scale L. This theory reduces to thermal pure gauge theory as m->infinity and to circle-compactified (non-thermal) supersymmetric gluodynamics in the limit m->0. In the m-L plane, there is a line of center symmetry changing phase transitions. In the limit m->infinity, this transition takes place at L_c=1/T_c, where T_c is the critical temperature of the deconfinement transition in pure Yang-Mills theory. We show that near m=0, the critical compactification scale L_c can be computed using semi-classical methods and that the transition is of second order. This suggests that the deconfining phase transition in pure Yang-Mills theory is continuously connected to a transition that can be studied at weak coupling. The center symmetry changing phase transition arises from the competition of perturbative contributions and monopole-instantons that destabilize the center, and topological molecules (neutral bions) that stabilize the center. The contribution of molecules can be computed using supersymmetry in the limit m=0, and via the Bogomolnyi--Zinn-Justin (BZJ) prescription in the non-supersymmetric gauge theory. Finally, we also give a detailed discussion of an issue that has not received proper attention in the context of N=1 theories---the non-cancellation of nonzero-mode determinants around supersymmetric BPS and KK monopole-instanton backgrounds on R^3xS^1. We explain why the non-cancellation is required for consistency with holomorphy and supersymmetry and perform an explicit calculation of the one-loop determinant ratio.

[ { "created": "Tue, 1 May 2012 23:52:15 GMT", "version": "v1" }, { "created": "Wed, 26 Sep 2012 16:17:00 GMT", "version": "v2" } ]

2015-06-05

[ [ "Poppitz", "Erich", "" ], [ "Schaefer", "Thomas", "" ], [ "Unsal", "Mithat", "" ] ]

We study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on R^3xS^1 as a function of the fermion mass m and the compactification scale L. This theory reduces to thermal pure gauge theory as m->infinity and to circle-compactified (non-thermal) supersymmetric gluodynamics in the limit m->0. In the m-L plane, there is a line of center symmetry changing phase transitions. In the limit m->infinity, this transition takes place at L_c=1/T_c, where T_c is the critical temperature of the deconfinement transition in pure Yang-Mills theory. We show that near m=0, the critical compactification scale L_c can be computed using semi-classical methods and that the transition is of second order. This suggests that the deconfining phase transition in pure Yang-Mills theory is continuously connected to a transition that can be studied at weak coupling. The center symmetry changing phase transition arises from the competition of perturbative contributions and monopole-instantons that destabilize the center, and topological molecules (neutral bions) that stabilize the center. The contribution of molecules can be computed using supersymmetry in the limit m=0, and via the Bogomolnyi--Zinn-Justin (BZJ) prescription in the non-supersymmetric gauge theory. Finally, we also give a detailed discussion of an issue that has not received proper attention in the context of N=1 theories---the non-cancellation of nonzero-mode determinants around supersymmetric BPS and KK monopole-instanton backgrounds on R^3xS^1. We explain why the non-cancellation is required for consistency with holomorphy and supersymmetry and perform an explicit calculation of the one-loop determinant ratio.

6.228734

6.550698

7.052049

5.981494

6.580985

6.254538

6.123549

6.032278

6.094949

7.315191

6.133484

6.264068

6.429675

6.225239

5.992097

6.127203

6.054391

6.147706

6.180027

6.368733

6.269133

1908.10306

Luigi Tizzano

Alba Grassi, Zohar Komargodski, Luigi Tizzano

Extremal Correlators and Random Matrix Theory

49 pages, 3 figures, 2 tables; v2: minor edits, added references and comments

null

10.1007/JHEP04(2021)214

null

hep-th

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

We study the correlation functions of Coulomb branch operators of four-dimensional $\mathcal{N} = 2$ Superconformal Field Theories (SCFTs). We focus on rank-one theories, such as the SU(2) gauge theory with four fundamental hypermultiplets. "Extremal" correlation functions, involving exactly one anti-chiral operator, are perhaps the simplest nontrivial correlation functions in four-dimensional Quantum Field Theory. We show that the large charge limit of extremal correlators is captured by a "dual" description which is a chiral random matrix model of the Wishart-Laguerre type. This gives an analytic handle on the physics in some particular excited states. In the limit of large random matrices we find the physics of a non-relativistic axion-dilaton effective theory. The random matrix model also admits a 't Hooft expansion in which the matrix is taken to be large and simultaneously the coupling is taken to zero. This explains why the extremal correlators of SU(2) gauge theory obey a nontrivial double scaling limit in states of large charge. We give an exact solution for the first two orders in the 't Hooft expansion of the random matrix model and compare with expectations from effective field theory, previous weak coupling results, and we analyze the non-perturbative terms in the strong 't Hooft coupling limit. Finally, we apply the random matrix theory techniques to study extremal correlators in rank-1 Argyres-Douglas theories. We compare our results with effective field theory and with some available numerical bootstrap bounds.

[ { "created": "Tue, 27 Aug 2019 16:30:37 GMT", "version": "v1" }, { "created": "Wed, 28 Apr 2021 21:57:43 GMT", "version": "v2" } ]

2021-07-23

[ [ "Grassi", "Alba", "" ], [ "Komargodski", "Zohar", "" ], [ "Tizzano", "Luigi", "" ] ]

We study the correlation functions of Coulomb branch operators of four-dimensional $\mathcal{N} = 2$ Superconformal Field Theories (SCFTs). We focus on rank-one theories, such as the SU(2) gauge theory with four fundamental hypermultiplets. "Extremal" correlation functions, involving exactly one anti-chiral operator, are perhaps the simplest nontrivial correlation functions in four-dimensional Quantum Field Theory. We show that the large charge limit of extremal correlators is captured by a "dual" description which is a chiral random matrix model of the Wishart-Laguerre type. This gives an analytic handle on the physics in some particular excited states. In the limit of large random matrices we find the physics of a non-relativistic axion-dilaton effective theory. The random matrix model also admits a 't Hooft expansion in which the matrix is taken to be large and simultaneously the coupling is taken to zero. This explains why the extremal correlators of SU(2) gauge theory obey a nontrivial double scaling limit in states of large charge. We give an exact solution for the first two orders in the 't Hooft expansion of the random matrix model and compare with expectations from effective field theory, previous weak coupling results, and we analyze the non-perturbative terms in the strong 't Hooft coupling limit. Finally, we apply the random matrix theory techniques to study extremal correlators in rank-1 Argyres-Douglas theories. We compare our results with effective field theory and with some available numerical bootstrap bounds.

9.051236

6.688047

8.370305

6.519693

7.128169

7.140386

6.770747

6.651218

6.72931

8.534623

6.92942

6.875156

7.214914

6.679035

6.623639

6.69801

6.782698

6.844423

6.903961

7.566926

6.82883

2005.13565

Nathan Haouzi

Quantum Geometry and $\theta$-Angle in Five-Dimensional Super Yang-Mills

36 pages, 4 figures

JHEP 09 (2020) 35

10.1007/JHEP09(2020)035

null

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

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

Five-dimensional $Sp(N)$ supersymmetric Yang-Mills admits a $\mathbb{Z}_2$ version of a theta angle $\theta$. In this note, we derive a double quantization of the Seiberg-Witten geometry of $\mathcal{N}=1$ $Sp(1)$ gauge theory at $\theta=\pi$, on the manifold $S^1\times\mathbb{R}^4$. Crucially, $\mathbb{R}^4$ is placed on the $\Omega$-background, which provides the two parameters to quantize the geometry. Physically, we are counting instantons in the presence of a 1/2-BPS fundamental Wilson loop, both of which are wrapping $S^1$. Mathematically, this amounts to proving the regularity of a $qq$-character for the spin-1/2 representation of the quantum affine algebra $U_q(\widehat{A_1})$, with a certain twist due to the $\theta$-angle. We motivate these results from two distinct string theory pictures. First, in a $(p,q)$-web setup in type IIB, where the loop is characterized by a D3 brane. Second, in a type I' string setup, where the loop is characterized by a D4 brane subject to an orientifold projection. We comment on the generalizations to the higher rank case $Sp(N)$ when $N>1$, and the $SU(N)$ theory at Chern-Simons level $\kappa$ when $N>2$.

[ { "created": "Wed, 27 May 2020 18:00:14 GMT", "version": "v1" } ]

2020-09-21

[ [ "Haouzi", "Nathan", "" ] ]

Five-dimensional $Sp(N)$ supersymmetric Yang-Mills admits a $\mathbb{Z}_2$ version of a theta angle $\theta$. In this note, we derive a double quantization of the Seiberg-Witten geometry of $\mathcal{N}=1$ $Sp(1)$ gauge theory at $\theta=\pi$, on the manifold $S^1\times\mathbb{R}^4$. Crucially, $\mathbb{R}^4$ is placed on the $\Omega$-background, which provides the two parameters to quantize the geometry. Physically, we are counting instantons in the presence of a 1/2-BPS fundamental Wilson loop, both of which are wrapping $S^1$. Mathematically, this amounts to proving the regularity of a $qq$-character for the spin-1/2 representation of the quantum affine algebra $U_q(\widehat{A_1})$, with a certain twist due to the $\theta$-angle. We motivate these results from two distinct string theory pictures. First, in a $(p,q)$-web setup in type IIB, where the loop is characterized by a D3 brane. Second, in a type I' string setup, where the loop is characterized by a D4 brane subject to an orientifold projection. We comment on the generalizations to the higher rank case $Sp(N)$ when $N>1$, and the $SU(N)$ theory at Chern-Simons level $\kappa$ when $N>2$.

6.202096

5.830687

7.176321

5.886937

5.996998

6.047541

6.103124

6.019173

5.754197

7.108666

5.977215

5.970843

6.436248

5.860714

6.053081

6.096066

5.930926

6.007092

5.886364

6.265388

5.998454

1512.03750

Daniele Musso

Riccardo Argurio, Andrea Marzolla, Andrea Mezzalira, Daniele Musso

Analytic pseudo-Goldstone bosons

20 pages, 4 figures, v2 minor corrections

null

10.1007/JHEP03(2016)012

null

hep-th

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

We consider the interplay between explicit and spontaneous symmetry breaking in strongly coupled field theories. Some well-known statements, such as the Gell-Mann-Oakes-Renner relation, descend directly from the Ward identities and have thus a general relevance. Such Ward identities are recovered in gauge/gravity dual setups through holographic renormalization. In a simple paradigmatic three dimensional toy-model, we find analytic expressions for the two-point correlators which match all the quantum field theoretical expectations. Moreover, we have access to the full spectrum, which is reminiscent of linear confinement.

[ { "created": "Fri, 11 Dec 2015 18:25:03 GMT", "version": "v1" }, { "created": "Mon, 15 Feb 2016 16:52:48 GMT", "version": "v2" } ]

2016-03-23

[ [ "Argurio", "Riccardo", "" ], [ "Marzolla", "Andrea", "" ], [ "Mezzalira", "Andrea", "" ], [ "Musso", "Daniele", "" ] ]

We consider the interplay between explicit and spontaneous symmetry breaking in strongly coupled field theories. Some well-known statements, such as the Gell-Mann-Oakes-Renner relation, descend directly from the Ward identities and have thus a general relevance. Such Ward identities are recovered in gauge/gravity dual setups through holographic renormalization. In a simple paradigmatic three dimensional toy-model, we find analytic expressions for the two-point correlators which match all the quantum field theoretical expectations. Moreover, we have access to the full spectrum, which is reminiscent of linear confinement.

12.14587

10.286158

11.717397

10.836269

10.492161

10.613698

10.323252

10.474495

10.513874

12.171097

10.324037

11.031981

11.668621

11.112863

10.682316

10.847108

10.572523

11.033659

10.756142

11.819093

10.677402

1202.4848

Victor Mikhaylov

On the Solutions of Generalized Bogomolny Equations

16 pages, no figures

null

10.1007/JHEP05(2012)112

null

hep-th math-ph math.MP

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

Generalized Bogomolny equations are encountered in the localization of the topological N=4 SYM theory. The boundary conditions for 't Hooft and surface operators are formulated by giving a model solution with some special singularity. In this note we consider the generalized Bogomolny equations on a half space and construct model solutions for the boundary 't Hooft and surface operators. It is shown that for the 't Hooft operator the equations reduce to the open Toda chain for arbitrary simple gauge group. For the surface operators the solutions of interest are rational solutions of a periodic non-abelian Toda system.

[ { "created": "Wed, 22 Feb 2012 08:05:18 GMT", "version": "v1" } ]

2015-06-04

[ [ "Mikhaylov", "Victor", "" ] ]

Generalized Bogomolny equations are encountered in the localization of the topological N=4 SYM theory. The boundary conditions for 't Hooft and surface operators are formulated by giving a model solution with some special singularity. In this note we consider the generalized Bogomolny equations on a half space and construct model solutions for the boundary 't Hooft and surface operators. It is shown that for the 't Hooft operator the equations reduce to the open Toda chain for arbitrary simple gauge group. For the surface operators the solutions of interest are rational solutions of a periodic non-abelian Toda system.

10.466504

10.589958

11.873152

9.957095

10.551102

10.056912

10.196523

9.974969

10.112596

11.928355

10.662362

10.256126

11.108945

10.122063

10.277293

10.785705

10.215227

10.84934

10.248846

11.062266

10.119026

hep-th/0103054

Asim Gangopadhyaya

Asim Gangopadhyaya, Jeffry V. Mallow and Uday P. Sukhatme

Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

Latex file, 10 pages

Phys.Lett. A283 (2001) 279-284

10.1016/S0375-9601(01)00266-3

null

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

null

Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are easily obtained, this procedure is not applicable when the parameters in these potentials correspond to broken supersymmetry, since there is no zero energy eigenstate. We describe a novel two-step shape invariance approach as well as a group theoretic potential algebra approach for solving such broken supersymmetry problems.

[ { "created": "Thu, 8 Mar 2001 21:58:21 GMT", "version": "v1" } ]

2009-11-07

[ [ "Gangopadhyaya", "Asim", "" ], [ "Mallow", "Jeffry V.", "" ], [ "Sukhatme", "Uday P.", "" ] ]

Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are easily obtained, this procedure is not applicable when the parameters in these potentials correspond to broken supersymmetry, since there is no zero energy eigenstate. We describe a novel two-step shape invariance approach as well as a group theoretic potential algebra approach for solving such broken supersymmetry problems.

13.547644

14.607172

14.295998

13.099429

14.515806

13.550118

14.479873

13.429841

12.946822

16.498466

13.461632

12.999082

13.434689

12.777083

12.967477

13.03379

12.429211

12.923766

13.110947

13.914888

13.968221

hep-th/9901016

Kasper Peeters

Kasper Peeters and Andrew Waldron

Spinors on manifolds with boundary: APS index theorems with torsion

40 pages, LaTeX2e, uses feynmp.sty

JHEP 9902 (1999) 024

10.1088/1126-6708/1999/02/024

DAMTP-1998-169, NIKHEF 98-034

hep-th hep-ph math.DG

null

Index theorems for the Dirac operator allow one to study spinors on manifolds with boundary and torsion. We analyse the modifications of the boundary Chern-Simons correction and APS eta invariant in the presence of torsion. The bulk contribution must also be modified and is computed using a supersymmetric quantum mechanics representation. Here we find agreement with existing results which employed heat kernel and Pauli-Villars techniques. Nonetheless, this computation also provides a stringent check of the Feynman rules of de Boer et al. for the computation of quantum mechanical path integrals. Our results can be verified via a duality relation between manifolds admitting a Killing-Yano tensor and manifolds with torsion. As an explicit example, we compute the indices of Taub-NUT and its dual constructed using this method and find agreement for any finite radius to the boundary. We also suggest a resolution to the problematic appearance of the Nieh-Yan invariant multiplied by the regulator mass^2 in computations of the chiral gravitational anomaly coupled to torsion.

[ { "created": "Tue, 5 Jan 1999 15:26:56 GMT", "version": "v1" }, { "created": "Mon, 17 May 1999 13:44:08 GMT", "version": "v2" } ]

2009-10-31

[ [ "Peeters", "Kasper", "" ], [ "Waldron", "Andrew", "" ] ]

Index theorems for the Dirac operator allow one to study spinors on manifolds with boundary and torsion. We analyse the modifications of the boundary Chern-Simons correction and APS eta invariant in the presence of torsion. The bulk contribution must also be modified and is computed using a supersymmetric quantum mechanics representation. Here we find agreement with existing results which employed heat kernel and Pauli-Villars techniques. Nonetheless, this computation also provides a stringent check of the Feynman rules of de Boer et al. for the computation of quantum mechanical path integrals. Our results can be verified via a duality relation between manifolds admitting a Killing-Yano tensor and manifolds with torsion. As an explicit example, we compute the indices of Taub-NUT and its dual constructed using this method and find agreement for any finite radius to the boundary. We also suggest a resolution to the problematic appearance of the Nieh-Yan invariant multiplied by the regulator mass^2 in computations of the chiral gravitational anomaly coupled to torsion.

14.3773

15.800721

14.163667

13.44357

14.887355

14.493011

16.725622

14.151391

13.780036

16.823204

13.968214

13.520557

13.599783

13.210453

13.527698

13.490127

13.538539

13.33864

13.577765

14.241897

13.414016

hep-th/0304243

Jihn E. Kim

Kang-Sin Choi, Kyuwan Hwang, and Jihn E. Kim

Dynkin diagram strategy for orbifolding with Wilson lines

LaTeX file of 20 pages, including 3 figures. To appear in Nucl.Phys.B

Nucl.Phys. B662 (2003) 476-490

10.1016/S0550-3213(03)00308-0

SNUTP 03-006

hep-th

null

A simple method for breaking gauge groups by orbifolding is presented. We extend the method of Kac and Peterson to include Wilson lines. The complete classification of the gauge group breaking, e.g. from heterotic string, is now possible. From this Dynkin diagram technique, one can easily visualize the origin and the symmetry pattern of the surviving gauge group.

[ { "created": "Tue, 29 Apr 2003 07:02:07 GMT", "version": "v1" } ]

2009-11-10

[ [ "Choi", "Kang-Sin", "" ], [ "Hwang", "Kyuwan", "" ], [ "Kim", "Jihn E.", "" ] ]

A simple method for breaking gauge groups by orbifolding is presented. We extend the method of Kac and Peterson to include Wilson lines. The complete classification of the gauge group breaking, e.g. from heterotic string, is now possible. From this Dynkin diagram technique, one can easily visualize the origin and the symmetry pattern of the surviving gauge group.

19.109371

20.559469

17.039381

16.49231

18.773342

21.62875

19.780567

17.61384

17.883024

20.872965

16.126125

16.168005

16.410086

15.822205

15.56

14.729527

15.982622

16.398321

15.421875

15.878591

15.910275

hep-th/9803102

G. B. Pivovarov

Victor A. Matveev and Grigorii B. Pivovarov (Institute for Nuclear Research, Moscow)

New Algebra of Local Symmetries for Regge Limit of Yang-Mills Theories

LaTex, 8 pages

null

INR-0974/98

hep-th hep-ph

null

Local effective action is derived to describe Regge asymptotic of Yang-Mills theories. Local symmetries of the effective action originating from the gauge symmetry of the underlying Yang-Mills theory are studied. Multicomponent effective action is introduced to express the symmetry transformations as field transformations. The algebra of these symmetries is decomposed onto a semi-direct sum of commutative algebras and four copies of the gauge algebra of the underlying Yang-Mills theory. Possibility of existence of solitons corresponding to the commutative subalgebra of the symmetry algebra is mentioned.

[ { "created": "Thu, 12 Mar 1998 11:52:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "Matveev", "Victor A.", "", "Institute for Nuclear\n Research, Moscow" ], [ "Pivovarov", "Grigorii B.", "", "Institute for Nuclear\n Research, Moscow" ] ]

Local effective action is derived to describe Regge asymptotic of Yang-Mills theories. Local symmetries of the effective action originating from the gauge symmetry of the underlying Yang-Mills theory are studied. Multicomponent effective action is introduced to express the symmetry transformations as field transformations. The algebra of these symmetries is decomposed onto a semi-direct sum of commutative algebras and four copies of the gauge algebra of the underlying Yang-Mills theory. Possibility of existence of solitons corresponding to the commutative subalgebra of the symmetry algebra is mentioned.

10.356709

10.087769

9.894117

9.577185

10.528174

9.39468

9.530073

10.182927

9.323944

10.58887

9.37309

8.895752

8.987508

8.930907

8.698498

8.758322

8.588479

9.391255

8.948623

9.240424

9.050165

hep-th/9706224

Miao Li

Miao Li (Univ. of Chicago) and Yong-Shi Wu (Univ. of Utah)

Master Ward Identity for Nonlocal Symmetries in D=2 Principal Chiral Models

12 pages, harvmac, minors corrections

Found.Phys. 27 (1997) 1571-1583

10.1007/BF02551501

EFI-97-29, UU-HEP/97-3

hep-th

null

We derive, in path integral approach, the (anomalous) master Ward identity associated with an infinite set of nonlocal conservation laws in two-dimensional principal chiral models

[ { "created": "Mon, 30 Jun 1997 21:05:24 GMT", "version": "v1" }, { "created": "Sun, 6 Jul 1997 14:08:02 GMT", "version": "v2" } ]

2009-10-30

[ [ "Li", "Miao", "", "Univ. of Chicago" ], [ "Wu", "Yong-Shi", "", "Univ. of Utah" ] ]

We derive, in path integral approach, the (anomalous) master Ward identity associated with an infinite set of nonlocal conservation laws in two-dimensional principal chiral models

16.270996

10.951944

17.888697

11.148133

12.295077

11.696441

11.657706

11.882284

10.374177

19.216597

11.555102

11.83485

17.367393

13.19833

12.878597

13.081075

11.479017

13.027467

12.307189

16.118067

12.376692

hep-th/0610304

Matthias R. Gaberdiel

Matthias R Gaberdiel and Terry Gannon

Twisted brane charges for non-simply connected groups

30 pages

JHEP 0701:035,2007

10.1088/1126-6708/2007/01/035

null

hep-th

null

The charges of the twisted branes for strings on the group manifold SU(n)/Z_d are determined. To this end we derive explicit (and remarkably simple) formulae for the relevant NIM-rep coefficients. The charge groups of the twisted and untwisted branes are compared and found to agree for the cases we consider.

[ { "created": "Mon, 30 Oct 2006 20:50:10 GMT", "version": "v1" } ]

2010-10-27

[ [ "Gaberdiel", "Matthias R", "" ], [ "Gannon", "Terry", "" ] ]

The charges of the twisted branes for strings on the group manifold SU(n)/Z_d are determined. To this end we derive explicit (and remarkably simple) formulae for the relevant NIM-rep coefficients. The charge groups of the twisted and untwisted branes are compared and found to agree for the cases we consider.

19.25222

11.253824

19.310076

12.561316

12.924833

12.671143

11.995976

14.491017

11.258585

24.561186

13.799747

14.545545

18.329763

14.896812

15.550272

16.043577

15.499337

15.651175

14.660961

16.536848

15.441647

hep-th/0101100

Kenji Hamada

Ken-ji Hamada (KEK)

A Dynamical Solution of Stable Starobinsky-Type Inflation Model in Quantum Geometry

Latex, 8 pages, reference added

Mod.Phys.Lett. A16 (2001) 803-808

10.1142/S0217732301003838

null

hep-th gr-qc

null

Quantum geometry gives a regularization scheme-independent effective action, whoes equation of motion for the conformal mode has a stable de Sitter solution at the high-energy region where the coupling of the self-interactions of the traceless mode can be neglected because of the asymptotic freedom. However, the dynamics of the traceless mode suggests that inflation ends at the low-energy region.

[ { "created": "Tue, 16 Jan 2001 06:03:07 GMT", "version": "v1" }, { "created": "Tue, 23 Jan 2001 04:39:10 GMT", "version": "v2" } ]

2016-12-21

[ [ "Hamada", "Ken-ji", "", "KEK" ] ]

Quantum geometry gives a regularization scheme-independent effective action, whoes equation of motion for the conformal mode has a stable de Sitter solution at the high-energy region where the coupling of the self-interactions of the traceless mode can be neglected because of the asymptotic freedom. However, the dynamics of the traceless mode suggests that inflation ends at the low-energy region.

19.140701

18.322306

20.341049

18.174225

16.672749

17.560007

17.55006

16.054804

16.976301

21.239412

17.784266

18.015091

17.783112

16.971607

16.850859

16.947197

16.58967

16.795544

16.53237

17.613592

18.230278

hep-th/0203097

Francois Englert

A Brief Course in Spontaneous Symmetry Breaking II. Modern Times: The BEH Mechanism

LaTeX file, 25 pages 9 figures. Presented at the 2001 Corfu Summer Institute on Elementary Particle Physics

null

ULB-TH/02-09

hep-th

null

The theory of symmetry breaking in presence of gauge fields is presented, following the historical track. Particular emphasis is placed upon the underlying concepts.

[ { "created": "Mon, 11 Mar 2002 14:42:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Englert", "Francois", "" ] ]

The theory of symmetry breaking in presence of gauge fields is presented, following the historical track. Particular emphasis is placed upon the underlying concepts.

24.840239

19.107895

19.558565

20.015562

18.854996

19.655682

20.812513

17.083075

18.757652

21.429573

20.06823

22.08058

22.428329

21.639603

20.670198

20.61898

19.848316

21.318762

22.475924

20.968388

22.541206

2311.01675

Peter Jarvis

Peter D. Jarvis, Jean Thierry-Mieg

Antisymmetric tensor fields: actions, symmetries and first order Duffin-Kemmer-Petiau formulations

17 pages LaTeX, uses youngtab.tex. Minor corrections, citations added. Minor amendments to A.1 and A.2. Acknowledgement added

null

hep-th

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

Analyzing the representations of the Lorentz group, we give a systematic count and construction of all the possible Lagrangians describing an antisymmetric rank two tensor field. The count yields two scalars: the gauge invariant Kalb-Ramond model, equivalent to the sigma model and familiar from super gravity and string theory, and the conformally invariant Avdeev-Chizhov model, which describes self-dual tensors. The count also includes a third invariant, a pseudoscalar, which is an antisymmetrized form of the Avdeev-Chizhov Lagrangian, first noticed in the $SU(2/1)$ superalgebraic model of the weak interactions. This model is also conformally invariant, and naturally implements the Landau $CP$ symmetry. Then, by extending the Duffin-Kemmer-Petiau 10 component formalism, we recover the model Lagrangians as first order systems. To complete the analysis we classify all local Lorentz invariant potentials (mass terms and quartic couplings) for charged antisymmetric tensor fields coupled to a Yang-Mills field.

[ { "created": "Fri, 3 Nov 2023 02:48:17 GMT", "version": "v1" }, { "created": "Sun, 19 Nov 2023 21:24:05 GMT", "version": "v2" }, { "created": "Wed, 10 Jan 2024 03:57:04 GMT", "version": "v3" } ]

2024-01-11

[ [ "Jarvis", "Peter D.", "" ], [ "Thierry-Mieg", "Jean", "" ] ]

Analyzing the representations of the Lorentz group, we give a systematic count and construction of all the possible Lagrangians describing an antisymmetric rank two tensor field. The count yields two scalars: the gauge invariant Kalb-Ramond model, equivalent to the sigma model and familiar from super gravity and string theory, and the conformally invariant Avdeev-Chizhov model, which describes self-dual tensors. The count also includes a third invariant, a pseudoscalar, which is an antisymmetrized form of the Avdeev-Chizhov Lagrangian, first noticed in the $SU(2/1)$ superalgebraic model of the weak interactions. This model is also conformally invariant, and naturally implements the Landau $CP$ symmetry. Then, by extending the Duffin-Kemmer-Petiau 10 component formalism, we recover the model Lagrangians as first order systems. To complete the analysis we classify all local Lorentz invariant potentials (mass terms and quartic couplings) for charged antisymmetric tensor fields coupled to a Yang-Mills field.

10.449414

10.513751

11.056701

9.566372

10.204118

10.261862

10.744698

9.652957

9.745649

11.379596

10.287213

9.756922

10.21616

9.529964

9.843958

9.570325

9.817171

9.719625

9.703775

9.9477

10.013526

hep-th/0205206

Joel Giedt

Full Component Lagrangian in the Linear Multiplet Formulation of String-inspired Effective Supergravity

2+34 pages

J.Phys.A36:3911,2003

10.1088/0305-4470/36/13/320

LBNL-50327, UCB-PTH-02/22

hep-th hep-ph

null

We compute the component field 4-dimensional N=1 supergravity Lagrangian that is obtained from a superfield Lagrangian in the U(1)_K formalism with a linear dilaton multiplet. All fermionic terms are presented. In a variety of important ways, our results generalize those that have been reported previously, and are flexible enough to accomodate many situations of phenomenological interest in string-inspired effective supergravity, especially models based on orbifold compactifications of the weakly-coupled heterotic string. We provide for an effective theory of hidden gaugino and matter condensation. We include supersymmetric Green-Schwarz counterterms associated with the cancellation of U(1) and modular duality anomalies; the modular duality counterterm is of a rather general form. Our assumed form for the dilaton Kahler potential is quite general and can accomodate Kahler stabilization methods. We note possible applications of our results. We also discuss the usefulness of the linear dilaton formulation as a complement to the chiral dilaton approach.

[ { "created": "Mon, 20 May 2002 21:30:42 GMT", "version": "v1" }, { "created": "Fri, 14 Jun 2002 21:18:14 GMT", "version": "v2" }, { "created": "Mon, 6 Jan 2003 22:23:35 GMT", "version": "v3" }, { "created": "Tue, 7 Jan 2003 22:22:30 GMT", "version": "v4" }, { "created": "Thu, 10 Apr 2003 17:57:23 GMT", "version": "v5" } ]

2008-11-26

[ [ "Giedt", "Joel", "" ] ]

We compute the component field 4-dimensional N=1 supergravity Lagrangian that is obtained from a superfield Lagrangian in the U(1)_K formalism with a linear dilaton multiplet. All fermionic terms are presented. In a variety of important ways, our results generalize those that have been reported previously, and are flexible enough to accomodate many situations of phenomenological interest in string-inspired effective supergravity, especially models based on orbifold compactifications of the weakly-coupled heterotic string. We provide for an effective theory of hidden gaugino and matter condensation. We include supersymmetric Green-Schwarz counterterms associated with the cancellation of U(1) and modular duality anomalies; the modular duality counterterm is of a rather general form. Our assumed form for the dilaton Kahler potential is quite general and can accomodate Kahler stabilization methods. We note possible applications of our results. We also discuss the usefulness of the linear dilaton formulation as a complement to the chiral dilaton approach.

11.490683

11.943548

11.750553

10.589941

12.149615

12.176147

11.852145

10.983428

10.971786

12.332197

10.592571

10.85394

11.167582

10.650926

10.65764

10.512778

10.213236

10.684229

10.634653

11.045392

10.802998

1607.01030

Marco Scalisi

Inflation, Universality and Attractors

174 pages, 52 figures. PhD thesis defended at the University of Groningen on June 13, 2016. It contains results and material already published in arXiv:1307.4343, arXiv:1405.7399, arXiv:1408.6839, arXiv:1411.5671, arXiv:1412.2790, arXiv:1503.07909, arXiv:1506.01368

null

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

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

In this PhD thesis, we investigate generic features of inflation which are strictly related to fundamental aspects of UV-physics scenarios, such as string theory or supergravity. After a short introduction to standard and inflationary cosmology, we present our research findings. On the one hand, we show that focusing on universality properties of inflation can yield surprisingly stringent bounds on its dynamics. This approach allows us to identify the regime where the inflationary field range is uniquely determined by both the tensor-to-scalar ratio and the spectral index. Then, we derive a novel field-range bound, which is two orders of magnitude stronger than the original one derived by Lyth. On the other hand, we discuss the embedding of inflation in supergravity and prove that non-trivial hyperbolic K\"ahler geometries induce an attractor for the inflationary observables: the spectral tilt tends automatically to the center of the Planck dome whereas the amount of primordial gravitational waves is directly controlled by curvature of the internal manifold. We identify the origin of this attractor mechanism in the so-called $\alpha$-scale supergravity model. Finally, we show how the inclusion of a nilpotent sector, allowing for a unified description of inflation and dark energy, implies an enhancement of the attractor nature of the theory. The main results of this thesis have been already published elsewhere. However, here we pay special attention to present them in a comprehensive way and provide the reader with the necessary background.

[ { "created": "Mon, 4 Jul 2016 20:04:02 GMT", "version": "v1" } ]

2016-07-06

[ [ "Scalisi", "Marco", "" ] ]

In this PhD thesis, we investigate generic features of inflation which are strictly related to fundamental aspects of UV-physics scenarios, such as string theory or supergravity. After a short introduction to standard and inflationary cosmology, we present our research findings. On the one hand, we show that focusing on universality properties of inflation can yield surprisingly stringent bounds on its dynamics. This approach allows us to identify the regime where the inflationary field range is uniquely determined by both the tensor-to-scalar ratio and the spectral index. Then, we derive a novel field-range bound, which is two orders of magnitude stronger than the original one derived by Lyth. On the other hand, we discuss the embedding of inflation in supergravity and prove that non-trivial hyperbolic K\"ahler geometries induce an attractor for the inflationary observables: the spectral tilt tends automatically to the center of the Planck dome whereas the amount of primordial gravitational waves is directly controlled by curvature of the internal manifold. We identify the origin of this attractor mechanism in the so-called $\alpha$-scale supergravity model. Finally, we show how the inclusion of a nilpotent sector, allowing for a unified description of inflation and dark energy, implies an enhancement of the attractor nature of the theory. The main results of this thesis have been already published elsewhere. However, here we pay special attention to present them in a comprehensive way and provide the reader with the necessary background.

9.081308

9.136171

9.191697

8.747557

9.144615

8.7659

9.279112

8.665773

8.813012

9.641866

8.991047

8.96396

8.793683

8.660827

8.696241

8.72466

8.708723

8.669247

8.475447

8.595831

8.714153

2312.07752

Raju Roychowdhury

Raju Roychowdhury and Leonardo Soriani

T-duality of emergent gravities on nilmanifolds

17 pages

null

hep-th

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

We study the transport of generalized metrics between topological T-dual nilmanifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields. But this additional property might not be preserved by the aforementioned transport. We describe a necessary condition for it to happen and provide working examples on self-T-dual nilmanifolds with zero $H$-flux in both 4 and 6 dimensions. We also discuss how this procedure fails in the presence of a non-zero $H$-flux.

[ { "created": "Tue, 5 Dec 2023 19:41:42 GMT", "version": "v1" } ]

2023-12-14

[ [ "Roychowdhury", "Raju", "" ], [ "Soriani", "Leonardo", "" ] ]

We study the transport of generalized metrics between topological T-dual nilmanifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields. But this additional property might not be preserved by the aforementioned transport. We describe a necessary condition for it to happen and provide working examples on self-T-dual nilmanifolds with zero $H$-flux in both 4 and 6 dimensions. We also discuss how this procedure fails in the presence of a non-zero $H$-flux.

14.029276

15.058429

14.474757

13.607563

16.203249

15.762151

14.450967

14.099131

13.966137

19.792992

13.401769

13.826528

14.002472

13.456615

13.54984

13.87274

13.751346

13.521879

13.82968

13.996161

13.994098

1712.02774

Yuta Sekiguchi

Keita Nii, Yuta Sekiguchi

Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory

v2 typo corrected

null

10.1007/JHEP02(2018)158

null

hep-th

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

We study a three-dimensional $\mathcal{N}=2$ supersymmetric $G_2$ gauge theory with and without fundamental matters. We find that a classical Coulomb branch of the moduli space of vacua is partly lifted by monopole-instantons and the quantum Coulomb moduli space would be described by a complex one-dimensional space. Depending on the number of the matters in a fundamental representation, the low-energy dynamics of the theory shows various phases like s-confinement or quantum merging of the Coulomb and the Higgs branches. We also investigate superconformal indices as an independent check of our analysis.

[ { "created": "Thu, 7 Dec 2017 18:48:09 GMT", "version": "v1" }, { "created": "Fri, 8 Dec 2017 15:53:37 GMT", "version": "v2" } ]

2018-04-04

[ [ "Nii", "Keita", "" ], [ "Sekiguchi", "Yuta", "" ] ]

We study a three-dimensional $\mathcal{N}=2$ supersymmetric $G_2$ gauge theory with and without fundamental matters. We find that a classical Coulomb branch of the moduli space of vacua is partly lifted by monopole-instantons and the quantum Coulomb moduli space would be described by a complex one-dimensional space. Depending on the number of the matters in a fundamental representation, the low-energy dynamics of the theory shows various phases like s-confinement or quantum merging of the Coulomb and the Higgs branches. We also investigate superconformal indices as an independent check of our analysis.

7.942363

6.896194

7.975334

6.508703

6.542493

6.611975

6.456921

6.553041

6.297667

8.08161

6.503616

6.820336

7.811955

7.172505

7.103413

7.228945

7.040467

7.050686

6.994212

7.574696

7.02386

0805.1611

Yang Zhou

Miao Li, Yang Zhou, Shi Pu

High spin baryon in hot strongly coupled plasma

18 pages, 19 figures, version to appear in JHEP

JHEP 0810:010,2008

10.1088/1126-6708/2008/10/010

USTC-ICTS-08-02

hep-th hep-ph nucl-th

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

We consider a strings-junction holographic model of probe baryon in the finite-temperature supersymmetric Yang-Mills dual of the AdS-Schwarzschild black hole background. In particular, we investigate the screening length for high spin baryon composed of rotating N_c heavy quarks. To rotate quarks by finite force, we put hard infrared cutoff in the bulk and give quarks finite mass. We find that N_c microscopic strings are embedded reasonably in the bulk geometry when they have finite angular velocity \omega, similar to the meson case. By defining the screening length as the critical separation of quarks, we compute the \omega dependence of the baryon screening length numerically and obtain a reasonable result which shows that baryons with high spin dissociate more easily. Finally, we discuss the relation between J and E^2 for baryons.

[ { "created": "Mon, 12 May 2008 11:40:03 GMT", "version": "v1" }, { "created": "Sat, 21 Jun 2008 13:09:41 GMT", "version": "v2" }, { "created": "Tue, 16 Sep 2008 09:48:00 GMT", "version": "v3" }, { "created": "Tue, 23 Sep 2008 05:09:01 GMT", "version": "v4" } ]

2009-11-18

[ [ "Li", "Miao", "" ], [ "Zhou", "Yang", "" ], [ "Pu", "Shi", "" ] ]

We consider a strings-junction holographic model of probe baryon in the finite-temperature supersymmetric Yang-Mills dual of the AdS-Schwarzschild black hole background. In particular, we investigate the screening length for high spin baryon composed of rotating N_c heavy quarks. To rotate quarks by finite force, we put hard infrared cutoff in the bulk and give quarks finite mass. We find that N_c microscopic strings are embedded reasonably in the bulk geometry when they have finite angular velocity \omega, similar to the meson case. By defining the screening length as the critical separation of quarks, we compute the \omega dependence of the baryon screening length numerically and obtain a reasonable result which shows that baryons with high spin dissociate more easily. Finally, we discuss the relation between J and E^2 for baryons.

14.988829

14.43171

15.895578

13.676066

14.449142

14.489068

14.084992

14.31019

14.136209

16.093906

13.798657

13.909187

14.52906

14.297776

14.392662

14.365281

14.445487

14.04423

14.429027

14.461765

14.485435

2108.09380

Martin Lagares

Diego H. Correa, Victor I. Giraldo-Rivera and Mart\'in Lagares

On the abundance of supersymmetric strings in $AdS_3\times S^3\times S^3\times S^1$ describing BPS line operators

23 pages, 1 figure; v3: typos corrected and clarifications added. Version to appear in J.Phys.A

null

10.1088/1751-8121/ac354d

null

hep-th

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

We study supersymmetric open strings in type IIB $AdS_3 \times S^3 \times S^3 \times S^1$ with mixed R-R and NS-NS fields. We focus on strings ending along a straight line at the boundary of $AdS_3$, which can be interpreted as line operators in a dual CFT$_2$. We study both classical configurations and quadratic fluctuations around them. We find that strings sitting at a fixed point in $S^3 \times S^3 \times S^1$, i.e. satisfying Dirichlet boundary conditions, are 1/2 BPS. We also show that strings sitting at different points of certain submanifolds of $S^3 \times S^3 \times S^1$ can still share some fraction of the supersymmetry. This allows to define supersymmetric smeared configurations by the superposition of them, which range from 1/2 BPS to 1/8 BPS. In addition to the smeared configurations, there are as well 1/4 BPS and 1/8 BPS strings satisfying Neumann boundary conditions. All these supersymmetric strings are shown to be connected by a network of interpolating BPS boundary conditions. Our study reveals the existence of a rich moduli of supersymmetric open string configurations, for which the appearance of massless fermionic fields in the spectrum of quadratic fluctuations is crucial.

[ { "created": "Fri, 20 Aug 2021 21:45:08 GMT", "version": "v1" }, { "created": "Fri, 3 Sep 2021 16:00:24 GMT", "version": "v2" }, { "created": "Tue, 9 Nov 2021 20:32:56 GMT", "version": "v3" } ]

2021-11-11

[ [ "Correa", "Diego H.", "" ], [ "Giraldo-Rivera", "Victor I.", "" ], [ "Lagares", "Martín", "" ] ]

We study supersymmetric open strings in type IIB $AdS_3 \times S^3 \times S^3 \times S^1$ with mixed R-R and NS-NS fields. We focus on strings ending along a straight line at the boundary of $AdS_3$, which can be interpreted as line operators in a dual CFT$_2$. We study both classical configurations and quadratic fluctuations around them. We find that strings sitting at a fixed point in $S^3 \times S^3 \times S^1$, i.e. satisfying Dirichlet boundary conditions, are 1/2 BPS. We also show that strings sitting at different points of certain submanifolds of $S^3 \times S^3 \times S^1$ can still share some fraction of the supersymmetry. This allows to define supersymmetric smeared configurations by the superposition of them, which range from 1/2 BPS to 1/8 BPS. In addition to the smeared configurations, there are as well 1/4 BPS and 1/8 BPS strings satisfying Neumann boundary conditions. All these supersymmetric strings are shown to be connected by a network of interpolating BPS boundary conditions. Our study reveals the existence of a rich moduli of supersymmetric open string configurations, for which the appearance of massless fermionic fields in the spectrum of quadratic fluctuations is crucial.

5.627627

5.207913

6.169334

5.398672

5.571119

5.172175

5.417744

5.197309

5.417767

6.773333

5.330926

5.321154

5.859269

5.351235

5.258518

5.348852

5.355202

5.333584

5.316231

5.611731

5.3008

1607.08476

Yu. M. Zinoviev

Massive two-column bosonic fields in the frame-like formalism

18+1 pages, 6 LaTeX figures

Nucl. Phys. B913 (2016) 301

10.1016/j.nuclphysb.2016.09.020

null

hep-th

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

In this paper we develop the frame-like gauge invariant formulation for the massive two-column bosonic fields in (anti) de Sitter space-times. We begin with the partially massless cases in AdS and dS and then we combine these results into the general massive theory. Separate section is devoted to the special case where both columns have equal number of indices.

[ { "created": "Thu, 28 Jul 2016 14:28:49 GMT", "version": "v1" } ]

2016-11-23

[ [ "Zinoviev", "Yu. M.", "" ] ]

In this paper we develop the frame-like gauge invariant formulation for the massive two-column bosonic fields in (anti) de Sitter space-times. We begin with the partially massless cases in AdS and dS and then we combine these results into the general massive theory. Separate section is devoted to the special case where both columns have equal number of indices.

16.997398

11.379452

18.069382

11.951068

12.521339

12.758174

12.17049

12.408969

10.91303

19.229517

11.854963

12.864714

15.225799

12.864239

13.097696

13.144828

12.776593

13.43017

13.216231

15.171194

12.412988

0912.2028

Monica Borunda

Monica Borunda and Manuel Masip

Black hole gas in TeV-gravity models

4 pages. Talk given by M.B. in ERE-2009

J.Phys.Conf.Ser.229:012023,2010

10.1088/1742-6596/229/1/012023

null

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

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

In a plasma at temperature close to the fundamental scale a small fraction of particles will experience transplanckian collisions that may result in microscopic black holes (BHs). We study the dynamics of a system (a black hole gas) defined by radiation at a given temperature coupled to a distribution of BHs of different mass. Our analysis includes the production of BHs in photon-photon collisions, BH evaporation, the absorption of radiation, collisions of two BHs to give a larger one, and the effects of the expansion. We find that the system may follow two different generic paths depending on the initial temperature of the plasma.

[ { "created": "Thu, 10 Dec 2009 15:59:42 GMT", "version": "v1" } ]

2014-11-20

[ [ "Borunda", "Monica", "" ], [ "Masip", "Manuel", "" ] ]

In a plasma at temperature close to the fundamental scale a small fraction of particles will experience transplanckian collisions that may result in microscopic black holes (BHs). We study the dynamics of a system (a black hole gas) defined by radiation at a given temperature coupled to a distribution of BHs of different mass. Our analysis includes the production of BHs in photon-photon collisions, BH evaporation, the absorption of radiation, collisions of two BHs to give a larger one, and the effects of the expansion. We find that the system may follow two different generic paths depending on the initial temperature of the plasma.

12.547215

8.011194

11.256741

8.911612

8.460075

8.489059

8.1452

8.539596

8.627283

11.463374

9.211919

9.784251

10.282505

10.209064

10.054176

9.966743

9.896313

10.110464

10.065456

10.350013

10.561511

0803.2170

Philipp H\"offer v. Loewenfeld

Philipp H\"offer v. Loewenfeld and Ivo Sachs

Resolution of Curvature Singularities in Higher Derivative Gravity

7 pages, 4 EPS figures; typos corrected, references added; to be published in Phys. Rev. D

Phys.Rev.D78:024036,2008

10.1103/PhysRevD.78.024036

LMU-ASC 13/08

hep-th gr-qc

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

We consider possible resolutions of singularities in a contracting anisotropic universe for a class of higher derivative gravity theories. We give evidence that for our models the big crunch singularity may be replaced by a nearly flat Minkowski-like phase before the Universe reenters an anisotropic expansion in a time-symmetric manner.

[ { "created": "Fri, 14 Mar 2008 14:56:10 GMT", "version": "v1" }, { "created": "Thu, 26 Jun 2008 15:54:53 GMT", "version": "v2" } ]

2008-11-26

[ [ "Loewenfeld", "Philipp Höffer v.", "" ], [ "Sachs", "Ivo", "" ] ]

We consider possible resolutions of singularities in a contracting anisotropic universe for a class of higher derivative gravity theories. We give evidence that for our models the big crunch singularity may be replaced by a nearly flat Minkowski-like phase before the Universe reenters an anisotropic expansion in a time-symmetric manner.

14.928379

13.132401

14.180045

13.471481

14.175093

13.073246

14.0388

12.788089

12.115015

15.317918

12.193551

12.508652

13.554577

13.187877

12.972867

12.646048

12.630129

12.611094

12.936789

12.989961

12.016734

hep-th/9701178

Enrique Alvarez

E. Alvarez, J. Borlaf and J.H. Le\'on (UAM, Madrid)

T-Duality without Quantum Corrections

7 pages, LaTeX. Final version, to appear in Phys. Lett.B. (some typos corrected)

Phys.Lett. B400 (1997) 97-100

10.1016/S0370-2693(97)00332-8

FTUAM/97/01

hep-th

null

It is a well known fact that the classical (``Buscher'') transformations of T-duality do receive, in general, quantum corrections. It is interesting to check whether classical T-duality can be exact as a quantum symmetry. The natural starting point is a $\sigma$-model with N=4 world sheet supersymmetry. Remarkably, we find that (owing to the fact that N=4 models with torsion are not off-shell finite as quantum theories),the T-duality transformations for these models get in general quantum corrections, with the only known exception of warped products of flat submanifolds or orbifolds thereof with other geometries.

[ { "created": "Thu, 30 Jan 1997 10:08:20 GMT", "version": "v1" }, { "created": "Fri, 7 Feb 1997 15:36:05 GMT", "version": "v2" }, { "created": "Fri, 21 Mar 1997 10:50:49 GMT", "version": "v3" } ]

2009-10-30

[ [ "Alvarez", "E.", "", "UAM, Madrid" ], [ "Borlaf", "J.", "", "UAM, Madrid" ], [ "León", "J. H.", "", "UAM, Madrid" ] ]

It is a well known fact that the classical (``Buscher'') transformations of T-duality do receive, in general, quantum corrections. It is interesting to check whether classical T-duality can be exact as a quantum symmetry. The natural starting point is a $\sigma$-model with N=4 world sheet supersymmetry. Remarkably, we find that (owing to the fact that N=4 models with torsion are not off-shell finite as quantum theories),the T-duality transformations for these models get in general quantum corrections, with the only known exception of warped products of flat submanifolds or orbifolds thereof with other geometries.

13.284081

12.818516

13.138041

11.544024

13.84891

13.457726

12.750551

12.825655

11.680241

14.762044

13.506598

11.492855

12.014252

11.736176

12.106944

12.105761

12.296769

11.799233

11.993633

12.842068

12.078318

2201.13362

Pratik Nandy

Hugo A. Camargo, Pratik Nandy, Qiang Wen, Haocheng Zhong

Balanced Partial Entanglement and Mixed State Correlations

v2: 36 pages, 9 figures, clarification added, references updated, to appear in SciPost Physics

SciPost Phys. 12, 137 (2022)

10.21468/SciPostPhys.12.4.137

null

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

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

Recently in Ref.\cite{Wen:2021qgx}, one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-section (EWCS). In this paper, we explicitly demonstrate that the BPE could be considered as a proper measure of the total intrinsic correlation between two subsystems in a mixed state. The total correlation includes certain crossing correlations which are minimized on some balance conditions. By constructing a class of purifications from Euclidean path-integrals, we find that the balanced crossing correlations show universality and can be considered as the generalization of the Markov gap for canonical purification. We also test the relation between the BPE and the EWCS in three-dimensional asymptotically flat holography. We find that the balanced crossing correlation vanishes for the field theory invariant under BMS$_3$ symmetry (BMSFT) and dual to the Einstein gravity, indicating the possibility of a perfect Markov recovery. We further elucidate these crossing correlations as a signature of tripartite entanglement and explain their interpretation in both AdS and non-AdS holography.

[ { "created": "Mon, 31 Jan 2022 17:18:16 GMT", "version": "v1" }, { "created": "Fri, 15 Apr 2022 13:40:50 GMT", "version": "v2" } ]

2022-04-22

[ [ "Camargo", "Hugo A.", "" ], [ "Nandy", "Pratik", "" ], [ "Wen", "Qiang", "" ], [ "Zhong", "Haocheng", "" ] ]

Recently in Ref.\cite{Wen:2021qgx}, one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-section (EWCS). In this paper, we explicitly demonstrate that the BPE could be considered as a proper measure of the total intrinsic correlation between two subsystems in a mixed state. The total correlation includes certain crossing correlations which are minimized on some balance conditions. By constructing a class of purifications from Euclidean path-integrals, we find that the balanced crossing correlations show universality and can be considered as the generalization of the Markov gap for canonical purification. We also test the relation between the BPE and the EWCS in three-dimensional asymptotically flat holography. We find that the balanced crossing correlation vanishes for the field theory invariant under BMS$_3$ symmetry (BMSFT) and dual to the Einstein gravity, indicating the possibility of a perfect Markov recovery. We further elucidate these crossing correlations as a signature of tripartite entanglement and explain their interpretation in both AdS and non-AdS holography.

11.342162

10.211361

11.88206

10.733388

10.491441

10.99059

10.472639

10.379156

9.836361

13.41321

10.102005

10.326801

10.681791

10.407442

10.34718

10.346073

10.58248

10.396255

10.515922

10.96556

10.342512

hep-th/0512307

Angelo Raffaele Fazio

A.R. Fazio (UNAL, Bogota')

Massless Three Dimensional Quantum Electrodynamics and Thirring Model Constrained by Large Flavor Number

null

Mod.Phys.Lett.A21:1451-1462,2006

10.1142/S021773230601992X

null

hep-th

null

We explicitly prove that in three dimensional massless quantum electrodynamics at finite temperature, zero density and large number of flavors the number of infrared degrees of freedom is never larger than the corresponding number of ultraviolet. Such a result, strongly dependent on the asymptotic freedom of the theory, is reversed in three dimensional Thirring model due to the positive derivative of its running coupling constant.

[ { "created": "Sat, 24 Dec 2005 02:04:46 GMT", "version": "v1" } ]

2010-11-11

[ [ "Fazio", "A. R.", "", "UNAL, Bogota'" ] ]

We explicitly prove that in three dimensional massless quantum electrodynamics at finite temperature, zero density and large number of flavors the number of infrared degrees of freedom is never larger than the corresponding number of ultraviolet. Such a result, strongly dependent on the asymptotic freedom of the theory, is reversed in three dimensional Thirring model due to the positive derivative of its running coupling constant.

14.206314

10.919046

12.366427

11.443341

14.030445

11.429288

11.640343

12.784247

11.549688

14.187481

11.704031

12.184798

12.804301

12.115968

12.164247

13.041446

12.190847

12.669342

12.505169

13.084347

12.305153

hep-th/0609199

Farrukh A. Chishtie

F.A. Chishtie, V. Elias, R.B. Mann, D.G.C. McKeon, T.G. Steele

On the Standard Approach to Renormalization Group Improvement

6 pages

Int.J.Mod.Phys.E16:1681-1685,2007

10.1142/S0218301307006095

UWO-TH-06/15

hep-th

null

Two approaches to renormalization-group improvement are examined: the substitution of the solutions of running couplings, masses and fields into perturbatively computed quantities is compared with the systematic sum of all the leading log (LL), next-to-leading log (NLL) etc. contributions to radiatively corrected processes, with n-loop expressions for the running quantities being responsible for summing N^{n}LL contributions. A detailed comparison of these procedures is made in the context of the effective potential V in the 4-dimensional O(4) massless $\lambda \phi^{4}$ model, showing the distinction between these procedures at two-loop order when considering the NLL contributions to the effective potential V.

[ { "created": "Wed, 27 Sep 2006 21:24:58 GMT", "version": "v1" } ]

2008-11-26

[ [ "Chishtie", "F. A.", "" ], [ "Elias", "V.", "" ], [ "Mann", "R. B.", "" ], [ "McKeon", "D. G. C.", "" ], [ "Steele", "T. G.", "" ] ]

Two approaches to renormalization-group improvement are examined: the substitution of the solutions of running couplings, masses and fields into perturbatively computed quantities is compared with the systematic sum of all the leading log (LL), next-to-leading log (NLL) etc. contributions to radiatively corrected processes, with n-loop expressions for the running quantities being responsible for summing N^{n}LL contributions. A detailed comparison of these procedures is made in the context of the effective potential V in the 4-dimensional O(4) massless $\lambda \phi^{4}$ model, showing the distinction between these procedures at two-loop order when considering the NLL contributions to the effective potential V.

12.732306

13.106296

11.015115

11.653179

12.683668

12.690041

12.452331

11.460802

11.727455

14.335949

11.12215

12.52672

12.006651

11.394546

12.139595

12.858333

11.372049

12.385926

11.65857

11.52408

12.057648

0803.3384

Kazuharu Bamba

Kazuharu Bamba, Shin'ichi Nojiri and Sergei D. Odintsov

Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity

21 pages, no figure, shortened version, accepted in PRD, misprints corrected

Phys.Rev.D77:123532,2008

10.1103/PhysRevD.77.123532

null

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

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

We study inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills (YM) theory, in which the YM field couples to a function of the scalar curvature. It is shown that power-law inflation can be realized due to the non-minimal YM field-gravitational coupling which maybe caused by quantum corrections. Moreover, it is demonstrated that both inflation and the late-time accelerated expansion of the universe can be realized in a modified YM-$F(R)$ gravity which is consistent with solar system tests. Furthermore, it is shown that this result can be realized also in a non-minimal vector-$F(R)$ gravity. In addition, we consider the duality of the non-minimal electromagnetic theory and that of the non-minimal YM theory, and also discuss the cosmological reconstruction of the YM theory.

[ { "created": "Mon, 24 Mar 2008 10:10:17 GMT", "version": "v1" }, { "created": "Sat, 24 May 2008 07:35:54 GMT", "version": "v2" }, { "created": "Thu, 5 Jun 2008 10:08:43 GMT", "version": "v3" } ]

2008-11-26

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

We study inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills (YM) theory, in which the YM field couples to a function of the scalar curvature. It is shown that power-law inflation can be realized due to the non-minimal YM field-gravitational coupling which maybe caused by quantum corrections. Moreover, it is demonstrated that both inflation and the late-time accelerated expansion of the universe can be realized in a modified YM-$F(R)$ gravity which is consistent with solar system tests. Furthermore, it is shown that this result can be realized also in a non-minimal vector-$F(R)$ gravity. In addition, we consider the duality of the non-minimal electromagnetic theory and that of the non-minimal YM theory, and also discuss the cosmological reconstruction of the YM theory.

6.136925

5.781136

5.859578

5.500868

5.52311

5.712885

5.313213

5.551193

5.550993

6.170215

5.59366

5.893907

5.920315

5.668943

5.756231

5.835346

5.670435

5.792884

5.855219

5.998441

5.88687

1211.2218

Wilke van der Schee

Holographic thermalization with radial flow

4 pages, 6 figures, comparison with a paper by Pratt and Vredevoogd added in version 2

Phys. Rev. D 87 (2013), 061901

10.1103/PhysRevD.87.061901

null

hep-th gr-qc hep-ph nucl-th

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

Recently, a lot of effort has been put into describing the thermalization of the quark-gluon plasma using the gauge/gravity duality. In this context we here present a full numerical solution of the early far-from-equilibrium formation of the plasma, which is expanding radially in the transverse plane and is boost invariant along the collision axis. This can model the early stage of a head-on relativistic heavy ion collision. The resulting momentum distribution quickly reaches local equilibrium, after which they can be evolved using ordinary hydrodynamics. We comment on general implications for these hydrodynamic simulations, both for central and non-central collisions, and including fluctuations in the initial state.

[ { "created": "Fri, 9 Nov 2012 19:41:37 GMT", "version": "v1" }, { "created": "Mon, 25 Mar 2013 16:24:02 GMT", "version": "v2" } ]

2013-03-26

[ [ "van der Schee", "Wilke", "" ] ]

Recently, a lot of effort has been put into describing the thermalization of the quark-gluon plasma using the gauge/gravity duality. In this context we here present a full numerical solution of the early far-from-equilibrium formation of the plasma, which is expanding radially in the transverse plane and is boost invariant along the collision axis. This can model the early stage of a head-on relativistic heavy ion collision. The resulting momentum distribution quickly reaches local equilibrium, after which they can be evolved using ordinary hydrodynamics. We comment on general implications for these hydrodynamic simulations, both for central and non-central collisions, and including fluctuations in the initial state.

10.171839

10.775637

9.196827

9.08509

9.568655

9.698699

9.26123

10.109127

8.834963

9.826577

9.532175

9.624302

9.390875

9.166856

9.207961

9.464168

9.32463

9.513781

9.122579

9.75315

9.315085

1901.04777

Kenta Shiozawa

Haruka Mori, Shin Sasaki, Kenta Shiozawa

Doubled Aspects of Vaisman Algebroid and Gauge Symmetry in Double Field Theory

49 pages, version published in JMP

J. Math. Phys. 61, 013505 (2020)

10.1063/1.5108783

null

hep-th math.DG

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

The metric algebroid proposed by Vaisman (the Vaisman algebroid) governs the gauge symmetry algebra generated by the C-bracket in double field theory (DFT). We show that the Vaisman algebroid is obtained by an analogue of the Drinfel'd double of Lie algebroids. Based on a geometric realization of doubled space-time as a para-Hermitian manifold, we examine exterior algebras and a para-Dolbeault cohomology on DFT and discuss the structure of the Drinfel'd double behind the DFT gauge symmetry. Similar to the Courant algebroid in the generalized geometry, Lagrangian subbundles $(L,\tilde{L})$ in a para-Hermitian manifold play Dirac-like structures in the Vaisman algebroid. We find that an algebraic origin of the strong constraint in DFT is traced back to the compatibility condition needed for $(L,\tilde{L})$ be a Lie bialgebroid. The analysis provides a foundation toward the "coquecigrue problem" for the gauge symmetry in DFT.

[ { "created": "Tue, 15 Jan 2019 11:53:20 GMT", "version": "v1" }, { "created": "Wed, 11 Mar 2020 07:12:24 GMT", "version": "v2" } ]

2020-03-12

[ [ "Mori", "Haruka", "" ], [ "Sasaki", "Shin", "" ], [ "Shiozawa", "Kenta", "" ] ]

The metric algebroid proposed by Vaisman (the Vaisman algebroid) governs the gauge symmetry algebra generated by the C-bracket in double field theory (DFT). We show that the Vaisman algebroid is obtained by an analogue of the Drinfel'd double of Lie algebroids. Based on a geometric realization of doubled space-time as a para-Hermitian manifold, we examine exterior algebras and a para-Dolbeault cohomology on DFT and discuss the structure of the Drinfel'd double behind the DFT gauge symmetry. Similar to the Courant algebroid in the generalized geometry, Lagrangian subbundles $(L,\tilde{L})$ in a para-Hermitian manifold play Dirac-like structures in the Vaisman algebroid. We find that an algebraic origin of the strong constraint in DFT is traced back to the compatibility condition needed for $(L,\tilde{L})$ be a Lie bialgebroid. The analysis provides a foundation toward the "coquecigrue problem" for the gauge symmetry in DFT.

7.968653

8.603193

10.160645

8.149658

8.721562

8.428484

8.603099

8.338515

8.288654

9.784499

8.690643

8.068499

8.246587

7.826067

7.610415

7.821789

7.927975

8.014005

7.564788

8.129497

7.588234

1403.5940

Jakub Gizbert-Studnicki

Jan Ambjorn, Jakub Gizbert-Studnicki, Andrzej G\"orlich, Jerzy Jurkiewicz

The effective action in 4-dim CDT. The transfer matrix approach

33 pages, 24 figures

JHEP 1406 (2014) 034

10.1007/JHEP06(2014)034

null

hep-th gr-qc hep-lat

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

We measure the effective action in all three phases of 4-dimensional Causal Dynamical Triangulations (CDT) using the transfer matrix method. The transfer matrix is parametrized by the total 3-volume of the CDT universe at a given (discrete) time. We present a simple effective model based on the transfer matrix measured in the de Sitter phase. It allows us to reconstruct the results of full CDT in this phase. We argue that the transfer matrix method is valid not only inside the de Sitter phase ('C') but also in the other two phases. A parametrization of the measured transfer matrix / effective action in the 'A' and 'B' phases is proposed and the relation to phase transitions is explained. We discover a potentially new 'bifurcation' phase separating the de Sitter phase ('C') and the 'collapsed' phase ('B').

[ { "created": "Mon, 24 Mar 2014 13:00:10 GMT", "version": "v1" }, { "created": "Thu, 15 May 2014 08:02:31 GMT", "version": "v2" } ]

2015-04-02

[ [ "Ambjorn", "Jan", "" ], [ "Gizbert-Studnicki", "Jakub", "" ], [ "Görlich", "Andrzej", "" ], [ "Jurkiewicz", "Jerzy", "" ] ]

We measure the effective action in all three phases of 4-dimensional Causal Dynamical Triangulations (CDT) using the transfer matrix method. The transfer matrix is parametrized by the total 3-volume of the CDT universe at a given (discrete) time. We present a simple effective model based on the transfer matrix measured in the de Sitter phase. It allows us to reconstruct the results of full CDT in this phase. We argue that the transfer matrix method is valid not only inside the de Sitter phase ('C') but also in the other two phases. A parametrization of the measured transfer matrix / effective action in the 'A' and 'B' phases is proposed and the relation to phase transitions is explained. We discover a potentially new 'bifurcation' phase separating the de Sitter phase ('C') and the 'collapsed' phase ('B').

7.936831

8.024754

8.017179

7.36517

7.837594

8.435517

8.413445

8.337543

7.685444

8.427357

7.170575

7.753239

7.862244

7.713099

7.808164

7.904

7.892905

7.833075

7.747502

8.052064

7.610217

hep-th/0303158

Ioannis Zois

I.P. Zois (IHES, Oxford University)

Noncommutativity vs gauge symmetry

16 pages, tex, version accepted for publication

MCFA Annals Vol 4 (2005) 198-208

null

hep-th

null

In many aspects the most complicated noncommutative spaces correspond to foliated manifolds with nonvanishing Godbillon-Vey class. We argue that gauge invariance probably prevents a foliated manifold from creating resilient leaves and thus resulting in having nonvanishing GV-class. So these spaces which are of the highest noncommutativity are not likely to appear in gauge theories.

[ { "created": "Tue, 18 Mar 2003 16:35:57 GMT", "version": "v1" }, { "created": "Tue, 4 Oct 2005 09:00:03 GMT", "version": "v2" } ]

2007-05-23

[ [ "Zois", "I. P.", "", "IHES, Oxford University" ] ]

In many aspects the most complicated noncommutative spaces correspond to foliated manifolds with nonvanishing Godbillon-Vey class. We argue that gauge invariance probably prevents a foliated manifold from creating resilient leaves and thus resulting in having nonvanishing GV-class. So these spaces which are of the highest noncommutativity are not likely to appear in gauge theories.

18.119537

18.59796

19.462385

16.557777

17.344444

16.821695

17.706146

16.342999

16.909698

23.806154

17.052765

17.100912

18.044386

16.456879

16.167419

16.906372

15.372155

16.127409

17.225641

16.602089

16.627275

1905.05128

Jeff Murugan

Daniel J. Burger, Raul Carballo-Rubio, Nathan Moynihan, Jeff Murugan and Amanda Weltman

Amplitudes, Gravity and Classical Discontinuities

3 pages

null

hep-th

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

On-shell methods have revitalized interest in scattering amplitudes which have, in turn, shed some much needed light on the structure of quantum field theories. These developments have been warmly embraced by the particle physics community. Less so in the astrophyical and cosmological contexts. As part of an effort to address this imbalance, we illustrate these methods by revisiting two classic problems in gravity: gravitational light-bending and the vDVZ discontinuity of massive gravity.

[ { "created": "Mon, 13 May 2019 16:32:15 GMT", "version": "v1" } ]

2019-05-14

[ [ "Burger", "Daniel J.", "" ], [ "Carballo-Rubio", "Raul", "" ], [ "Moynihan", "Nathan", "" ], [ "Murugan", "Jeff", "" ], [ "Weltman", "Amanda", "" ] ]

On-shell methods have revitalized interest in scattering amplitudes which have, in turn, shed some much needed light on the structure of quantum field theories. These developments have been warmly embraced by the particle physics community. Less so in the astrophyical and cosmological contexts. As part of an effort to address this imbalance, we illustrate these methods by revisiting two classic problems in gravity: gravitational light-bending and the vDVZ discontinuity of massive gravity.

11.246931

10.700008

10.595885

9.265587

10.663208

10.676768

10.271995

10.588795

8.806106

12.765018

9.992414

9.432898

9.773821

9.62722

9.463287

9.610488

9.541821

9.554103

9.332308

9.753292

9.680307

1601.02253

Pietro Fre

Supersymmetric M2-branes with Englert Fluxes and the simple group PSL(2,7)

59 pages, two figures. Original Research Article. Few misprints corrected, a pair of sentences added in the aknowledgments

null

10.1002/prop.201600007

null

hep-th math-ph math.MP

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

A new class is introduced of M2-branes solutions of d=11 supergravity that include internal fluxes obeying Englert equation in 7-dimensions. A simple criterion for the existence of Killing spinors in such backgrounds is established. Englert equation is viewed as the generalization to d=7 of Beltrami equation defined in d=3 and it is trated accordingly. All 2-brane solutions of minimal d=7 supergracity can be uplifted to d=11 and have N > 4 or N = 4 supersymmetry. It is shown that the simple group PSL(2,7) is crystallographic in d=7 having an integral action on the A7 root lattice. By means of this point-group and of the T7 torus obtained quotiening R7 with the A7 root lattice we were able to construct new M2 branes with Englert fluxes and N < 4. In particular we exhibit here an N=1 solution depending on 4-parameters and admitting a large non abelian discrete symmetry, namely G21 = Z3 semidirect product with Z7 = subgroup of PSL(2,7). The dual d=3 field theories have the same symmetries and have complicated non linear interactions.

[ { "created": "Sun, 10 Jan 2016 19:02:09 GMT", "version": "v1" }, { "created": "Thu, 28 Jan 2016 14:23:33 GMT", "version": "v2" } ]

2016-11-03

[ [ "Fre", "Pietro", "" ] ]

A new class is introduced of M2-branes solutions of d=11 supergravity that include internal fluxes obeying Englert equation in 7-dimensions. A simple criterion for the existence of Killing spinors in such backgrounds is established. Englert equation is viewed as the generalization to d=7 of Beltrami equation defined in d=3 and it is trated accordingly. All 2-brane solutions of minimal d=7 supergracity can be uplifted to d=11 and have N > 4 or N = 4 supersymmetry. It is shown that the simple group PSL(2,7) is crystallographic in d=7 having an integral action on the A7 root lattice. By means of this point-group and of the T7 torus obtained quotiening R7 with the A7 root lattice we were able to construct new M2 branes with Englert fluxes and N < 4. In particular we exhibit here an N=1 solution depending on 4-parameters and admitting a large non abelian discrete symmetry, namely G21 = Z3 semidirect product with Z7 = subgroup of PSL(2,7). The dual d=3 field theories have the same symmetries and have complicated non linear interactions.

12.921185

11.944275

13.811616

12.132002

13.496782

13.152443

12.547111

12.261775

11.955358

14.731382

12.085491

12.038641

11.90922

11.802536

12.526301

12.204696

12.40039

12.140373

12.187787

12.667388

11.775365

2204.05167

Volodimir Simulik

V.M. Simulik, I.I. Vyikon

On the "old" and "new" relativistic wave equations for the particle having spin s=3/2

14 pages

null

hep-th

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

Relativistic wave equation of motion without redundant components for the particle having spin 3/2 has been considered. In order to show the newness a comparison with the known equations for the spin s=3/2 field is given. Therefore, the brief review of the relativistic wave equations for the particle with spin s=3/2 is given. In our equation the wave function for the particle-antiparticle doublet has only 8 components. The consideration is carried out both at the level of relativistic quantum mechanics and at the level of local field theory. The extended Foldy--Wouthuysen transformation, which gives the operator link between these two levels is suggested.

[ { "created": "Mon, 11 Apr 2022 14:53:17 GMT", "version": "v1" }, { "created": "Mon, 23 May 2022 12:12:30 GMT", "version": "v2" } ]

2022-05-24

[ [ "Simulik", "V. M.", "" ], [ "Vyikon", "I. I.", "" ] ]

Relativistic wave equation of motion without redundant components for the particle having spin 3/2 has been considered. In order to show the newness a comparison with the known equations for the spin s=3/2 field is given. Therefore, the brief review of the relativistic wave equations for the particle with spin s=3/2 is given. In our equation the wave function for the particle-antiparticle doublet has only 8 components. The consideration is carried out both at the level of relativistic quantum mechanics and at the level of local field theory. The extended Foldy--Wouthuysen transformation, which gives the operator link between these two levels is suggested.

9.560985

8.583895

9.052251

8.143597

9.315392

9.232841

9.665298

8.397199

8.444677

9.60715

8.35521

8.332595

8.704761

8.50712

8.145722

8.230628

8.434425

8.483829

8.205949

8.481458

8.574104

hep-th/9612230

Tekin Dereli

A. H. Bilge, T. Dereli, \c{S}. Ko\c{c}ak

The Geometry of Self-Dual Gauge Fields

14 pages, Latex (No figures) Paper presented to The 9th Max Born Symposium, Karpacz, Poland 25-27 September 1996

null

hep-th

null

Self-dual 2-forms in D=2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of self-duality is proven. We show that the self-dual 2-forms determine a n^2-n+1 dimensional manifold S_{2n} and the dimension of the maximal linear subspaces of S_{2n}$ is equal to the Radon-Hurwitz number of linearly independent vector fields on the sphere S^{2n-1}. The relation between the maximal linear subspaces and the representations of Clifford algebras is noted. A general procedure based on this relation for the explicit construction of linearly self-dual 2-forms is given. The construction of the octonionic instanton solution in D=8 dimensions is discussed.

[ { "created": "Tue, 24 Dec 1996 07:22:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bilge", "A. H.", "" ], [ "Dereli", "T.", "" ], [ "Koçak", "Ş.", "" ] ]

Self-dual 2-forms in D=2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of self-duality is proven. We show that the self-dual 2-forms determine a n^2-n+1 dimensional manifold S_{2n} and the dimension of the maximal linear subspaces of S_{2n}$ is equal to the Radon-Hurwitz number of linearly independent vector fields on the sphere S^{2n-1}. The relation between the maximal linear subspaces and the representations of Clifford algebras is noted. A general procedure based on this relation for the explicit construction of linearly self-dual 2-forms is given. The construction of the octonionic instanton solution in D=8 dimensions is discussed.

8.232636

7.887568

8.710356

7.667718

9.149396

7.356738

8.233913

8.613924

7.451178

8.515458

7.551251

7.767417

8.051615

7.895344

8.244079

7.705601

8.032884

8.099552

7.91923

7.730518

7.917139

hep-th/9605054

Michael K. Murray

A note on the (1, 1,..., 1) monopole metric

12 pages, latex, no figures, uses amsmath, amsthm, amsfonts

J.Geom.Phys. 23 (1997) 31-41

10.1016/S0393-0440(96)00044-7

null

hep-th

null

Recently K. Lee, E.J. Weinberg and P. Yi in CU-TP-739, hep-th/9602167, calculated the asymptotic metric on the moduli space of (1, 1, ..., 1) BPS monopoles and conjectured that it was globally exact. I lend support to this conjecture by showing that the metric on the corresponding space of Nahm data is the same as the metric they calculate.

[ { "created": "Thu, 9 May 1996 04:43:21 GMT", "version": "v1" } ]

2009-10-30

[ [ "Murray", "Michael K.", "" ] ]

Recently K. Lee, E.J. Weinberg and P. Yi in CU-TP-739, hep-th/9602167, calculated the asymptotic metric on the moduli space of (1, 1, ..., 1) BPS monopoles and conjectured that it was globally exact. I lend support to this conjecture by showing that the metric on the corresponding space of Nahm data is the same as the metric they calculate.

12.439809

10.793192

13.09393

9.590869

11.150653

10.35063

9.462747

9.482677

9.357174

13.630975

10.055239

9.802036

8.980812

8.413791

8.991999

9.214695

9.089783

9.190802

8.486781

9.116412

9.871554

1312.1768

Lee Peng Teo

L. P. Teo

Sphere-plate Casimir interaction in (D+1)-dimensional spacetime

17 pages, 1 figure, 2 tables

null

10.1063/1.4871441

null

hep-th

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

In this paper, we derive the formula for the Casimir interaction energy between a sphere and a plate in $(D+1)$-dimensional Minkowski spacetime. It is assumed that the scalar field satisfies the Dirichlet or Neumann boundary conditions on the sphere and the plate. As in the $D=3$ case, the formula is of TGTG type. One of our main contributions is deriving the translation matrices which express the change of bases between plane waves and spherical waves for general $D$. Using orthogonality of Gegenbauer polynomials, it turns out that the final TGTG formula for the Casimir interaction energy can be simplified to one that is similar to the $D=3$ case. To illustrate the application of the formula, both large separation and small separation asymptotic behaviors of the Casimir interaction energy are computed. The large separation leading term is proportional to $L^{-D+1}$ if the sphere is imposed with Dirichlet boundary condition, and to $L^{-D-1}$ if the sphere is imposed with Neumann boundary condition, where $L$ is distance from the center of the sphere to the plane. For the small separation asymptotic behavior, it is shown that the leading term is equal to the one obtained using proximity force approximation. The next-to-leading order term is also computed using perturbation method. It is shown that when the space dimension $D$ is larger than 5, the next-to-leading order has sign opposite to the leading order term. Moreover, the ratio of the next-to-leading order term to the leading order term is linear in $D$, indicating a larger correction at higher dimensions.

[ { "created": "Fri, 6 Dec 2013 05:14:22 GMT", "version": "v1" } ]

2015-06-18

[ [ "Teo", "L. P.", "" ] ]

In this paper, we derive the formula for the Casimir interaction energy between a sphere and a plate in $(D+1)$-dimensional Minkowski spacetime. It is assumed that the scalar field satisfies the Dirichlet or Neumann boundary conditions on the sphere and the plate. As in the $D=3$ case, the formula is of TGTG type. One of our main contributions is deriving the translation matrices which express the change of bases between plane waves and spherical waves for general $D$. Using orthogonality of Gegenbauer polynomials, it turns out that the final TGTG formula for the Casimir interaction energy can be simplified to one that is similar to the $D=3$ case. To illustrate the application of the formula, both large separation and small separation asymptotic behaviors of the Casimir interaction energy are computed. The large separation leading term is proportional to $L^{-D+1}$ if the sphere is imposed with Dirichlet boundary condition, and to $L^{-D-1}$ if the sphere is imposed with Neumann boundary condition, where $L$ is distance from the center of the sphere to the plane. For the small separation asymptotic behavior, it is shown that the leading term is equal to the one obtained using proximity force approximation. The next-to-leading order term is also computed using perturbation method. It is shown that when the space dimension $D$ is larger than 5, the next-to-leading order has sign opposite to the leading order term. Moreover, the ratio of the next-to-leading order term to the leading order term is linear in $D$, indicating a larger correction at higher dimensions.

4.494895

4.348062

4.596115

4.288931

4.189952

4.323618

4.277248

4.14058

4.201978

4.86299

4.295013

4.440799

4.502081

4.308623

4.300456

4.351218

4.273772

4.324632

4.305766

4.491796

4.316904

2011.05971

Valentin Reys

Nikolay Bobev, Anthony M. Charles, Dongmin Gang, Kiril Hristov, Valentin Reys

Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$

29 pages

null

10.1007/JHEP04(2021)058

null

hep-th math.GT

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

We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $\mathcal{R}$. Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-$N$ expansion of supersymmetric partition functions for an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs of class $\mathcal{R}$. We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS$_4$ black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.

[ { "created": "Wed, 11 Nov 2020 18:42:00 GMT", "version": "v1" } ]

2021-04-28

[ [ "Bobev", "Nikolay", "" ], [ "Charles", "Anthony M.", "" ], [ "Gang", "Dongmin", "" ], [ "Hristov", "Kiril", "" ], [ "Reys", "Valentin", "" ] ]

We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $\mathcal{R}$. Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-$N$ expansion of supersymmetric partition functions for an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs of class $\mathcal{R}$. We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS$_4$ black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.

4.672055

4.150493

5.460582

4.284637

4.248525

4.263372

4.651728

4.240113

4.170421

5.835893

4.276874

4.357116

5.043051

4.506378

4.582436

4.481076

4.59375

4.517688

4.386578

4.903608

4.462158

1410.5991

Anastasia Doikou

Jean Avan, Anastasia Doikou, Nikos Karaiskos

Scattering matrices in the sl(3) twisted Yangian

14 pages, Latex. A few comments added. Version to appear in JSTAT

J. Stat. Mech. (2015) P02007

10.1088/1742-5468/2015/02/P02007

null

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

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

A quantum spin chain with non-conventional boundary conditions is studied. The distinct nature of these boundary conditions arises from the conversion of a soliton to an anti-soliton after being reflected to the boundary, hence the appellation soliton non-preserving boundary conditions. We focus on the simplest non-trivial case of this class of models based on the twisted Yangian quadratic algebra. Our computations are performed through the Bethe ansatz equations in the thermodynamic limit. We formulate a suitable quantization condition describing the scattering process and proceed with explicitly determining the bulk and boundary scattering amplitudes. The energy and quantum numbers of the low lying excitations are also derived.

[ { "created": "Wed, 22 Oct 2014 10:58:48 GMT", "version": "v1" }, { "created": "Thu, 29 Jan 2015 14:32:14 GMT", "version": "v2" } ]

2015-02-04

[ [ "Avan", "Jean", "" ], [ "Doikou", "Anastasia", "" ], [ "Karaiskos", "Nikos", "" ] ]

A quantum spin chain with non-conventional boundary conditions is studied. The distinct nature of these boundary conditions arises from the conversion of a soliton to an anti-soliton after being reflected to the boundary, hence the appellation soliton non-preserving boundary conditions. We focus on the simplest non-trivial case of this class of models based on the twisted Yangian quadratic algebra. Our computations are performed through the Bethe ansatz equations in the thermodynamic limit. We formulate a suitable quantization condition describing the scattering process and proceed with explicitly determining the bulk and boundary scattering amplitudes. The energy and quantum numbers of the low lying excitations are also derived.

11.885951

12.475034

13.128748

10.637732

11.615073

11.750769

11.31341

11.066701

11.148282

14.393565

10.680202

10.740156

12.747149

11.119472

11.105467

10.463213

11.277592

10.877597

10.79067

11.746991

11.061072

hep-th/9705047

Alexios Polychronakos

Alexios P. Polychronakos

Multidimensional Calogero systems from matrix models

12 pages, no figures, plain tex, phyzzx macro

Phys.Lett. B408 (1997) 117-121

10.1016/S0370-2693(97)00788-0

UUTP-08/97, 10A 97-06

hep-th cond-mat

null

We show that a particular many-matrix model gives rise, upon hamiltonian reduction, to a multidimensional version of the Calogero-Sutherland model and its spin generalizations. Some simple solutions of these models are demonstrated by solving the corresponding matrix equations. A connection of this model to the dimensional reduction of Yang-Mills theories to (0+1)-dimensions is pointed out. In particular, it is shown that the low-energy dynamics of D0-branes in sectors with nontrivial fermion content is that of spin-Calogero particles.

[ { "created": "Thu, 8 May 1997 07:11:06 GMT", "version": "v1" } ]

2009-10-30

[ [ "Polychronakos", "Alexios P.", "" ] ]

We show that a particular many-matrix model gives rise, upon hamiltonian reduction, to a multidimensional version of the Calogero-Sutherland model and its spin generalizations. Some simple solutions of these models are demonstrated by solving the corresponding matrix equations. A connection of this model to the dimensional reduction of Yang-Mills theories to (0+1)-dimensions is pointed out. In particular, it is shown that the low-energy dynamics of D0-branes in sectors with nontrivial fermion content is that of spin-Calogero particles.

9.745778

8.496364

10.204748

8.225348

8.506886

8.49308

9.25346

8.1487

8.487819

10.974047

8.673001

8.57949

8.976953

8.31016

8.595017

8.511898

8.555226

8.513433

8.744949

9.328987

8.331888

1107.5702

Evgeny Buchbinder

L.F. Alday, E.I. Buchbinder, A.A. Tseytlin

Correlation function of null polygonal Wilson loops with local operators

36 pages, 2 figures

null

10.1007/JHEP09(2011)034

null

hep-th

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

We consider the correlator <W_n O(x)> of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or the chiral primary scalar) in planar N =4 super Yang-Mills theory. As a consequence of conformal symmetry, the main part of such correlator is a function F of 3n-11 conformal ratios. The first non-trivial case is n=4 when F depends on just one conformal ratio \zeta. This makes the corresponding correlator one of the simplest non-trivial observables that one would like to compute for generic values of the `t Hooft coupling \lambda. We compute F(\zeta,\lambda) at leading order in both the strong coupling regime (using semiclassical AdS5 x S5 string theory) and the weak coupling regime (using perturbative gauge theory). Some results are also obtained for polygonal Wilson loops with more than four edges. Furthermore, we also discuss a connection to the relation between a correlator of local operators at null-separated positions and cusped Wilson loop suggested in arXiv:1007.3243.

[ { "created": "Thu, 28 Jul 2011 12:54:01 GMT", "version": "v1" } ]

2015-05-28

[ [ "Alday", "L. F.", "" ], [ "Buchbinder", "E. I.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We consider the correlator <W_n O(x)> of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or the chiral primary scalar) in planar N =4 super Yang-Mills theory. As a consequence of conformal symmetry, the main part of such correlator is a function F of 3n-11 conformal ratios. The first non-trivial case is n=4 when F depends on just one conformal ratio \zeta. This makes the corresponding correlator one of the simplest non-trivial observables that one would like to compute for generic values of the `t Hooft coupling \lambda. We compute F(\zeta,\lambda) at leading order in both the strong coupling regime (using semiclassical AdS5 x S5 string theory) and the weak coupling regime (using perturbative gauge theory). Some results are also obtained for polygonal Wilson loops with more than four edges. Furthermore, we also discuss a connection to the relation between a correlator of local operators at null-separated positions and cusped Wilson loop suggested in arXiv:1007.3243.

6.508576

7.547486

8.266955

6.496339

7.029734

7.297315

7.485313

7.158203

6.558688

8.476795

6.59107

6.469691

7.051128

6.145969

6.262687

6.625368

6.799161

6.583318

6.218169

7.339657

6.319993

hep-th/9310029

null

I. Jack and D. R. T. Jones

The Exact Tachyon Beta-Function for the Wess-Zumino-Witten Model

13pp, uses harvmac (with figures appended as a a standard PostScript file), LTH 317

Mod.Phys.Lett. A9 (1994) 259-270

10.1142/S0217732394000277

null

hep-th

null

We derive an exact expression for the tachyon $\beta$-function for the Wess-Zumino-Witten model. We check our result up to three loops by calculating the three-loop tachyon $\beta$-function for a general non-linear $\sigma$-model with torsion, and then specialising to the case of the WZW model.

[ { "created": "Wed, 6 Oct 1993 14:24:58 GMT", "version": "v1" } ]

2009-10-22

[ [ "Jack", "I.", "" ], [ "Jones", "D. R. T.", "" ] ]

We derive an exact expression for the tachyon $\beta$-function for the Wess-Zumino-Witten model. We check our result up to three loops by calculating the three-loop tachyon $\beta$-function for a general non-linear $\sigma$-model with torsion, and then specialising to the case of the WZW model.

5.583886

4.635891

5.262624

4.542806

4.928949

4.430299

4.637564

4.493039

4.4772

5.54178

4.603132

4.958264

5.330008

4.870021

5.016981

4.942204

4.976597

5.001882

4.717123

5.47306

4.800229

1212.5728

Di-Lun Yang

Elena Caceres, Arnab Kundu, Di-Lun Yang

Jet Quenching and Holographic Thermalization with a Chemical Potential

25 pages, 15 figures, minor modification, references added

null

hep-th hep-ph

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

We investigate jet quenching of virtual gluons and thermalization of a strongly-coupled plasma with a non-zero chemical potential via the gauge/gravity duality. By tracking a charged shell falling in an asymptotic AdS$_{d+1}$ background for $d=3$ and $d=4$, which is characterized by the AdS-Reissner-Nordstr\"om-Vaidya (AdS-RN-Vaidya) geometry, we extract a thermalization time of the medium with a non-zero chemical potential. In addition, we study the falling string as the holographic dual of a virtual gluon in the AdS-RN-Vaidya spacetime. The stopping distance of the massless particle representing the tip of the falling string in such a spacetime could reveal the jet quenching of an energetic light probe traversing the medium in the presence of a chemical potential. We find that the stopping distance decreases when the chemical potential is increased in both AdS-RN and AdS-RN-Vaidya spacetimes, which correspond to the thermalized and thermalizing media respectively. Moreover, we find that the soft gluon with an energy comparable to the thermalization temperature and chemical potential in the medium travels further in the non-equilibrium plasma. The thermalization time obtained here by tracking a falling charged shell does not exhibit, generically, the same qualitative features as the one obtained studying non-local observables. This indicates that --holographically-- the definition of thermalization time is observer dependent and there is no unambiguos definition.

[ { "created": "Sat, 22 Dec 2012 21:15:08 GMT", "version": "v1" }, { "created": "Tue, 7 Jan 2014 09:54:22 GMT", "version": "v2" } ]

2014-01-08

[ [ "Caceres", "Elena", "" ], [ "Kundu", "Arnab", "" ], [ "Yang", "Di-Lun", "" ] ]

We investigate jet quenching of virtual gluons and thermalization of a strongly-coupled plasma with a non-zero chemical potential via the gauge/gravity duality. By tracking a charged shell falling in an asymptotic AdS$_{d+1}$ background for $d=3$ and $d=4$, which is characterized by the AdS-Reissner-Nordstr\"om-Vaidya (AdS-RN-Vaidya) geometry, we extract a thermalization time of the medium with a non-zero chemical potential. In addition, we study the falling string as the holographic dual of a virtual gluon in the AdS-RN-Vaidya spacetime. The stopping distance of the massless particle representing the tip of the falling string in such a spacetime could reveal the jet quenching of an energetic light probe traversing the medium in the presence of a chemical potential. We find that the stopping distance decreases when the chemical potential is increased in both AdS-RN and AdS-RN-Vaidya spacetimes, which correspond to the thermalized and thermalizing media respectively. Moreover, we find that the soft gluon with an energy comparable to the thermalization temperature and chemical potential in the medium travels further in the non-equilibrium plasma. The thermalization time obtained here by tracking a falling charged shell does not exhibit, generically, the same qualitative features as the one obtained studying non-local observables. This indicates that --holographically-- the definition of thermalization time is observer dependent and there is no unambiguos definition.

7.073342

7.527237

7.534661

7.184882

7.264888

7.183584

7.102241

7.044087

7.170489

8.305061

6.965462

6.870257

7.321923

6.987541

7.030086

7.002448

7.008064

6.862282

7.208055

7.172568

6.914138

1207.6929

Alfredo Iorio

Using Weyl symmetry to make Graphene a real lab for fundamental physics

16 pages, 6 figures; invited talk at the "3rd O'Raifeartaigh Conference on Symmetry and Integrability" 19-21 July, 2012 - Munich, Germany

Eur. Phys. J. Plus 127 (2012) 156

10.1140/epjp/i2012-12156-1

null

hep-th cond-mat.mtrl-sci gr-qc

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

In the first attempt to introduce gauge theories in physics, Hermann Weyl, around the 1920s, proposed certain scale transformations to be a fundamental symmetry of nature. Despite the intense use of Weyl symmetry that has been made over the decades, in various theoretical settings, this idea never found its way to the laboratory. Recently, building-up from work by Lochlainn O'Raifeartaigh and collaborators on the Weyl-gauge symmetry, applications of Weyl-symmetry to the electronic properties of graphene have been put forward, first, in a theoretical setting, and later, in an experimental proposal. Here I review those results, by enlarging and deepening the discussion of certain aspects, and by pointing to the steps necessary to make graphene a testing ground of fundamental ideas.

[ { "created": "Mon, 30 Jul 2012 13:06:52 GMT", "version": "v1" } ]

2013-04-10

[ [ "Iorio", "Alfredo", "" ] ]

In the first attempt to introduce gauge theories in physics, Hermann Weyl, around the 1920s, proposed certain scale transformations to be a fundamental symmetry of nature. Despite the intense use of Weyl symmetry that has been made over the decades, in various theoretical settings, this idea never found its way to the laboratory. Recently, building-up from work by Lochlainn O'Raifeartaigh and collaborators on the Weyl-gauge symmetry, applications of Weyl-symmetry to the electronic properties of graphene have been put forward, first, in a theoretical setting, and later, in an experimental proposal. Here I review those results, by enlarging and deepening the discussion of certain aspects, and by pointing to the steps necessary to make graphene a testing ground of fundamental ideas.

11.23021

12.001096

11.62678

10.961802

12.219971

11.181458

12.113535

11.284251

11.359208

12.986608

11.045355

10.691845

10.577112

10.578517

10.598434

10.571763

10.445564

10.592565

10.750596

10.622146

10.139604

2405.14421

Pierre Vanhove

Stavros Mougiakakos, Pierre Vanhove

Schwarzschild metric from Scattering Amplitudes to all orders in $G_N$

8 pages. Ancillary files available at this repository: https://github.com/pierrevanhove/Metric/tree/main?tab=readme-ov-file#readme

null

IPhT-t24/010

hep-th gr-qc

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

We apply a formulation of Einstein's general relativity with only cubic interactions for deriving the metric of a Schwarzschild black hole to all orders in perturbation theory. This cubic interactions formulation coupled to effective worldline action of a massive point particle allows to derive a recursion relation for the form factors of the off-shell graviton emission current. The unique solution to the recursion relation leads to the Schwarzschild black-hole solution in four dimensions. This provides the first derivation of the black hole metric from a matter source to all orders in perturbation theory from an amplitude approach.

[ { "created": "Thu, 23 May 2024 10:41:35 GMT", "version": "v1" } ]

2024-05-24

[ [ "Mougiakakos", "Stavros", "" ], [ "Vanhove", "Pierre", "" ] ]

We apply a formulation of Einstein's general relativity with only cubic interactions for deriving the metric of a Schwarzschild black hole to all orders in perturbation theory. This cubic interactions formulation coupled to effective worldline action of a massive point particle allows to derive a recursion relation for the form factors of the off-shell graviton emission current. The unique solution to the recursion relation leads to the Schwarzschild black-hole solution in four dimensions. This provides the first derivation of the black hole metric from a matter source to all orders in perturbation theory from an amplitude approach.

11.706922

10.866648

12.33349

11.133229

11.070458

11.305571

11.564214

10.8489

11.057257

12.804279

11.301555

10.697285

11.666011

10.450089

10.668518

11.302167

10.978642

10.353959

10.317727

11.154362

10.564498

2207.12721

Enrique Alvarez

Enrique \'Alvarez, Jes\'us Anero and Eduardo Velasco-Aja

The fate of horizons under quantum corrections

29 pages, expanded; references added

null

10.1088/1475-7516/2023/02/029

IFT-UAM/CSIC-22-68

hep-th gr-qc

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

We have studied a lagrangian in which the Einstein-Hilbert term is deformed by the Weyl cube operator, which is the lowest-dimension operator that is non-vanishing on shell and appears as a two-loop counterterm. There is a tension between the Schwarzschild de Sitter (SdS) spacetime and this operator, which we study in some detail.

[ { "created": "Tue, 26 Jul 2022 08:23:12 GMT", "version": "v1" }, { "created": "Thu, 18 Aug 2022 18:15:34 GMT", "version": "v2" }, { "created": "Tue, 8 Nov 2022 17:29:27 GMT", "version": "v3" }, { "created": "Tue, 24 Jan 2023 09:34:01 GMT", "version": "v4" } ]

2023-02-22

[ [ "Álvarez", "Enrique", "" ], [ "Anero", "Jesús", "" ], [ "Velasco-Aja", "Eduardo", "" ] ]

We have studied a lagrangian in which the Einstein-Hilbert term is deformed by the Weyl cube operator, which is the lowest-dimension operator that is non-vanishing on shell and appears as a two-loop counterterm. There is a tension between the Schwarzschild de Sitter (SdS) spacetime and this operator, which we study in some detail.

10.403471

9.579728

8.782227

8.758982

10.300979

8.632708

10.108838

8.52373

9.081077

10.768533

9.06009

10.007585

9.756854

9.37775

9.285463

9.922351

9.491529

9.50532

9.359443

9.640335

9.489552

hep-th/0408144

J. F. Vazquez-Poritz

Justin F. Vazquez-Poritz

The Nuts and Bolts of Brane Resolution

23 pages

null

hep-th

null

We construct various non-singular p-branes on higher-dimensional generalizations of Taub-NUT and Taub-BOLT instantons. Among other solutions, these include S^1-wrapped D3-branes and M5-branes, as well as deformed M2-branes. The resulting geometries smoothly interpolate between product spaces which include Minkowski elements of different dimensionality. The new solutions do not preserve any supersymmetry.

[ { "created": "Thu, 19 Aug 2004 19:55:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Vazquez-Poritz", "Justin F.", "" ] ]

We construct various non-singular p-branes on higher-dimensional generalizations of Taub-NUT and Taub-BOLT instantons. Among other solutions, these include S^1-wrapped D3-branes and M5-branes, as well as deformed M2-branes. The resulting geometries smoothly interpolate between product spaces which include Minkowski elements of different dimensionality. The new solutions do not preserve any supersymmetry.

10.322582

9.782123

9.796163

8.860551

9.402964

9.222009

10.146634

9.25091

9.389197

10.101694

9.545701

9.19127

10.201075

9.593973

9.483916

9.370947

9.439282

9.434692

9.418978

10.162174

9.324873

1205.2918

Shinji Tsujikawa

Sergei V. Ketov, Shinji Tsujikawa

Consistency of inflation and preheating in F(R) supergravity

12 pages, 6 figures

Phys.Rev.D86:023529,2012

10.1103/PhysRevD.86.023529

null

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

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

We study inflation and preheating in F(R) supergravity characterized by two mass scales of a scalar degree of freedom (scalaron): M (associated with the inflationary era) and m (associated with the preheating era). The allowed values of the masses M and m are derived from the amplitude of the CMB temperature anisotropies. We show that our model is consistent with the joint observational constraints of WMAP and other measurements in the regime where a sufficient amount of inflation (with the number of e-foldings larger than 50) is realized. In the low-energy regime relevant to preheating, we derive the effective scalar potential in the presence of a pseudo-scalar field chi coupled to the inflaton (scalaron) field phi. If m is much larger than M, we find that there exists the preheating stage in which the field perturbations delta chi and delta phi rapidly grow by a broad parametric resonance.

[ { "created": "Mon, 14 May 2012 00:24:46 GMT", "version": "v1" }, { "created": "Fri, 20 Jul 2012 02:51:57 GMT", "version": "v2" } ]

2013-05-30

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

We study inflation and preheating in F(R) supergravity characterized by two mass scales of a scalar degree of freedom (scalaron): M (associated with the inflationary era) and m (associated with the preheating era). The allowed values of the masses M and m are derived from the amplitude of the CMB temperature anisotropies. We show that our model is consistent with the joint observational constraints of WMAP and other measurements in the regime where a sufficient amount of inflation (with the number of e-foldings larger than 50) is realized. In the low-energy regime relevant to preheating, we derive the effective scalar potential in the presence of a pseudo-scalar field chi coupled to the inflaton (scalaron) field phi. If m is much larger than M, we find that there exists the preheating stage in which the field perturbations delta chi and delta phi rapidly grow by a broad parametric resonance.

7.617995

7.848563

7.458543

6.909915

7.420049

8.212349

7.982959

7.389229

7.34403

7.723847

7.450669

7.389546

7.265151

7.087768

7.50614

7.491464

7.556645

7.096723

7.393102

7.188966

7.208193

2302.00017

Alberto Castellano

Alberto Castellano, \'Alvaro Herr\'aez, Luis E. Ib\'a\~nez

Towers and Hierarchies in the Standard Model from Emergence in Quantum Gravity

20 pages, 5 figures, 1 table; v2: references added and typos corrected

null

hep-th hep-ph

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

Based on Quantum Gravity arguments, it has been suggested that all kinetic terms of light particles below the UV cut-off could arise in the IR via quantum (loop) corrections. These loop corrections involve infinite towers of states becoming light (e.g. Kaluza-Klein or string towers). We study implications of this Emergence Proposal for fundamental scales in the Standard Model (SM). In this scheme all Yukawa couplings are of order one in the UV and small Yukawas for lighter generations appear via large anomalous dimensions induced by the towers of states. Thus, the observed hierarchies of quark and lepton masses are a reflection of the structure of towers of states that lie below the Quantum Gravity scale, $\Lambda_{\text{QG}}$. Small Dirac neutrino masses consistent with experimental observation appear due to the existence of a tower of SM singlet states of mass $m_{0}\simeq Y_{\nu_3}M_p\simeq 7\times 10^5$ GeV, opening up a new extra dimension, while the UV cut-off occurs at $\Lambda_{\text{QG}}\lesssim 10^{14}$ GeV. Additional constraints relating the Electro-Weak (EW) and cosmological constant (c.c.) scales (denoted $M_{\text{EW}}$ and $V_0$) appear if the Swampland condition $m_{\nu_1}\lesssim V_0^{1/4}$ is imposed (with $\nu_1$ denoting the lightest neutrino), which itself arises upon applying the AdS non-SUSY Conjecture or the AdS/dS Distance Conjecture to the 3d vacua from circle compactifications of the SM. In particular, the EW scale and that of the extra dimension fulfill ${m_0 \, M_{\text{EW}}\lesssim 10^{2}\, V_0^{1/4}M_p}$, thus relating the EW hierarchy problem to that of the c.c. Hence, all fundamental scales may be written as powers of the c.c., i.e. $m_{\bullet}\sim V_0^\delta M_p^{1-4\delta}$. The scale of SUSY breaking is $m_{3/2}\lesssim 7\times 10^5$ GeV, which favours a Mini-Split scenario that could be possibly tested at LHC and/or FCC.

[ { "created": "Tue, 31 Jan 2023 19:00:02 GMT", "version": "v1" }, { "created": "Wed, 14 Jun 2023 10:58:17 GMT", "version": "v2" } ]

2023-06-16

[ [ "Castellano", "Alberto", "" ], [ "Herráez", "Álvaro", "" ], [ "Ibáñez", "Luis E.", "" ] ]

Based on Quantum Gravity arguments, it has been suggested that all kinetic terms of light particles below the UV cut-off could arise in the IR via quantum (loop) corrections. These loop corrections involve infinite towers of states becoming light (e.g. Kaluza-Klein or string towers). We study implications of this Emergence Proposal for fundamental scales in the Standard Model (SM). In this scheme all Yukawa couplings are of order one in the UV and small Yukawas for lighter generations appear via large anomalous dimensions induced by the towers of states. Thus, the observed hierarchies of quark and lepton masses are a reflection of the structure of towers of states that lie below the Quantum Gravity scale, $\Lambda_{\text{QG}}$. Small Dirac neutrino masses consistent with experimental observation appear due to the existence of a tower of SM singlet states of mass $m_{0}\simeq Y_{\nu_3}M_p\simeq 7\times 10^5$ GeV, opening up a new extra dimension, while the UV cut-off occurs at $\Lambda_{\text{QG}}\lesssim 10^{14}$ GeV. Additional constraints relating the Electro-Weak (EW) and cosmological constant (c.c.) scales (denoted $M_{\text{EW}}$ and $V_0$) appear if the Swampland condition $m_{\nu_1}\lesssim V_0^{1/4}$ is imposed (with $\nu_1$ denoting the lightest neutrino), which itself arises upon applying the AdS non-SUSY Conjecture or the AdS/dS Distance Conjecture to the 3d vacua from circle compactifications of the SM. In particular, the EW scale and that of the extra dimension fulfill ${m_0 \, M_{\text{EW}}\lesssim 10^{2}\, V_0^{1/4}M_p}$, thus relating the EW hierarchy problem to that of the c.c. Hence, all fundamental scales may be written as powers of the c.c., i.e. $m_{\bullet}\sim V_0^\delta M_p^{1-4\delta}$. The scale of SUSY breaking is $m_{3/2}\lesssim 7\times 10^5$ GeV, which favours a Mini-Split scenario that could be possibly tested at LHC and/or FCC.

7.940278

8.51158

8.405526

7.706347

8.323126

8.101317

8.132875

7.978391

7.504966

8.909726

7.669095

7.914702

7.91383

7.777281

7.838496

7.756216

7.54

7.837106

7.811888

8.155313

7.655607

0804.3961

Michael Haack

Michael Haack, Renata Kallosh, Axel Krause, Andrei Linde, Dieter Lust, Marco Zagermann

Update of D3/D7-Brane Inflation on K3 x T^2/Z_2

LaTeX2e, 55 pages + appendices, 8 figures; v3: added appendix F and a note at the end of the conclusions in order to clarify the relation of our results to the recent work by Burgess et al. (arXiv:0811.1503)

Nucl.Phys.B806:103-177,2009

10.1016/j.nuclphysb.2008.07.033

LMU-ASC 18/08, MPP-2008-26, SU-ITP-2008-08, YITP-2008-25

hep-th astro-ph hep-ph

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

We update the D3/D7-brane inflation model on K3 x T^2/Z_2 with branes and fluxes. For this purpose, we study the low energy theory including g_s corrections to the gaugino condensate superpotential that stabilizes the K3 volume modulus. The gauge kinetic function is verified to become holomorphic when the original N=2 supersymmetry is spontaneously broken to N=1 by bulk fluxes. From the underlying classical N=2 supergravity, the theory inherits a shift symmetry which provides the inflaton with a naturally flat potential. We analyze the fate of this shift symmetry after the inclusion of quantum corrections. The field range of the inflaton is found to depend significantly on the complex structure of the torus but is independent of its volume. This allows for a large kinematical field range for the inflaton. Furthermore, we show that the D3/D7 model may lead to a realization of the recent CMB fit by Hindmarsh et al. with an 11% contribution from cosmic strings and a spectral index close to n_s=1. On the other hand, by a slight change of the parameters of the model one can strongly suppress the cosmic string contribution and reduce the spectral index n_s to fit the WMAP5 data in the absence of cosmic strings. We also demonstrate that the inclusion of quantum corrections allows for a regime of eternal D3/D7 inflation.

[ { "created": "Thu, 24 Apr 2008 16:41:39 GMT", "version": "v1" }, { "created": "Wed, 14 May 2008 15:38:20 GMT", "version": "v2" }, { "created": "Fri, 5 Dec 2008 15:25:06 GMT", "version": "v3" } ]

2008-12-05

[ [ "Haack", "Michael", "" ], [ "Kallosh", "Renata", "" ], [ "Krause", "Axel", "" ], [ "Linde", "Andrei", "" ], [ "Lust", "Dieter", "" ], [ "Zagermann", "Marco", "" ] ]

We update the D3/D7-brane inflation model on K3 x T^2/Z_2 with branes and fluxes. For this purpose, we study the low energy theory including g_s corrections to the gaugino condensate superpotential that stabilizes the K3 volume modulus. The gauge kinetic function is verified to become holomorphic when the original N=2 supersymmetry is spontaneously broken to N=1 by bulk fluxes. From the underlying classical N=2 supergravity, the theory inherits a shift symmetry which provides the inflaton with a naturally flat potential. We analyze the fate of this shift symmetry after the inclusion of quantum corrections. The field range of the inflaton is found to depend significantly on the complex structure of the torus but is independent of its volume. This allows for a large kinematical field range for the inflaton. Furthermore, we show that the D3/D7 model may lead to a realization of the recent CMB fit by Hindmarsh et al. with an 11% contribution from cosmic strings and a spectral index close to n_s=1. On the other hand, by a slight change of the parameters of the model one can strongly suppress the cosmic string contribution and reduce the spectral index n_s to fit the WMAP5 data in the absence of cosmic strings. We also demonstrate that the inclusion of quantum corrections allows for a regime of eternal D3/D7 inflation.

9.19335

8.658031

9.582568

8.401114

8.723727

9.345642

9.335971

8.791596

8.272934

10.774002

8.530453

8.305307

8.973101

8.328271

8.203054

8.587752

8.667267

8.431981

8.397759

9.020998

8.441433

1602.04825

Marika Taylor

Peter A. R. Jones and Marika Taylor

Entanglement entropy in top-down models

40 pages

null

10.1007/JHEP08(2016)158

null

hep-th

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

We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduction over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.

[ { "created": "Mon, 15 Feb 2016 21:00:09 GMT", "version": "v1" } ]

2016-09-21

[ [ "Jones", "Peter A. R.", "" ], [ "Taylor", "Marika", "" ] ]

We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduction over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.

5.436697

5.775689

6.462036

5.723126

6.061104

5.811066

5.712911

5.593188

5.715467

7.099294

5.490815

5.510361

5.834053

5.5892

5.617311

5.625319

5.493217

5.480362

5.543371

5.74933

5.567857

1701.08776

Sebastian Zell

Gia Dvali, Cesar Gomez, and Sebastian Zell

Quantum Break-Time of de Sitter

51 pages, 5 figures; v2: published version, references added

J. Cosmol. Astropart. Phys. 2017 no. 06, 028

10.1088/1475-7516/2017/06/028

LMU-ASC 08/17, MPP-2017-10

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

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

The quantum break-time of a system is the time-scale after which its true quantum evolution departs from the classical mean field evolution. For capturing it, a quantum resolution of the classical background - e.g., in terms of a coherent state - is required. In this paper, we first consider a simple scalar model with anharmonic oscillations and derive its quantum break-time. Next, we apply these ideas to de Sitter space. We formulate a simple model of a spin-2 field, which for some time reproduces the de Sitter metric and simultaneously allows for its well-defined representation as quantum coherent state of gravitons. The mean occupation number $N$ of background gravitons turns out to be equal to the de Sitter horizon area in Planck units, while their frequency is given by the de Sitter Hubble parameter. In the semi-classical limit, we show that the model reproduces all the known properties of de Sitter, such as the redshift of probe particles and thermal Gibbons-Hawking radiation, all in the language of quantum $S$-matrix scatterings and decays of coherent state gravitons. Most importantly, this framework allows to capture the $1/N$-effects to which the usual semi-classical treatment is blind. They violate the de Sitter symmetry and lead to a finite quantum break-time of the de Sitter state equal to the de Sitter radius times $N$. We also point out that the quantum-break time is inversely proportional to the number of particle species in the theory. Thus, the quantum break-time imposes the following consistency condition: Older and species-richer universes must have smaller cosmological constants. For the maximal, phenomenologically acceptable number of species, the observed cosmological constant would saturate this bound if our Universe were $10^{100}$ years old in its entire classical history.

[ { "created": "Mon, 30 Jan 2017 19:00:19 GMT", "version": "v1" }, { "created": "Mon, 30 Oct 2017 18:00:06 GMT", "version": "v2" } ]

2017-11-01

[ [ "Dvali", "Gia", "" ], [ "Gomez", "Cesar", "" ], [ "Zell", "Sebastian", "" ] ]

The quantum break-time of a system is the time-scale after which its true quantum evolution departs from the classical mean field evolution. For capturing it, a quantum resolution of the classical background - e.g., in terms of a coherent state - is required. In this paper, we first consider a simple scalar model with anharmonic oscillations and derive its quantum break-time. Next, we apply these ideas to de Sitter space. We formulate a simple model of a spin-2 field, which for some time reproduces the de Sitter metric and simultaneously allows for its well-defined representation as quantum coherent state of gravitons. The mean occupation number $N$ of background gravitons turns out to be equal to the de Sitter horizon area in Planck units, while their frequency is given by the de Sitter Hubble parameter. In the semi-classical limit, we show that the model reproduces all the known properties of de Sitter, such as the redshift of probe particles and thermal Gibbons-Hawking radiation, all in the language of quantum $S$-matrix scatterings and decays of coherent state gravitons. Most importantly, this framework allows to capture the $1/N$-effects to which the usual semi-classical treatment is blind. They violate the de Sitter symmetry and lead to a finite quantum break-time of the de Sitter state equal to the de Sitter radius times $N$. We also point out that the quantum-break time is inversely proportional to the number of particle species in the theory. Thus, the quantum break-time imposes the following consistency condition: Older and species-richer universes must have smaller cosmological constants. For the maximal, phenomenologically acceptable number of species, the observed cosmological constant would saturate this bound if our Universe were $10^{100}$ years old in its entire classical history.

8.479548

8.720444

9.037927

8.329858

9.268914

9.280654

9.245563

9.042367

8.533551

9.367169

8.742348

8.389845

8.317552

8.224489

8.16989

8.133911

8.286031

8.265261

8.302965

8.481902

8.263307

hep-th/0509144

Dumitru Astefanesei

Dumitru Astefanesei and Eugen Radu

Quasilocal Formalism and Black Ring Thermodynamics

10 pages, no figures; v2, expanded references, misprints corrected; v3: misprint corected in rel. (22); discussion unchanged

Phys.Rev. D73 (2006) 044014

10.1103/PhysRevD.73.044014

null

hep-th gr-qc

null

The thermodynamical properties of a dipole black ring are derived using the quasilocal formalism. We find that the dipole charge appears in the first law in the same manner as a global charge. Using the Gibbs-Duhem relation, we also provide a non-trivial check of the entropy/area relationship for the dipole ring. A preliminary study of the thermodynamic stability indicates that the neutral ring is unstable to angular fluctuations.

[ { "created": "Mon, 19 Sep 2005 20:15:21 GMT", "version": "v1" }, { "created": "Thu, 20 Oct 2005 19:40:05 GMT", "version": "v2" }, { "created": "Fri, 26 May 2006 09:35:44 GMT", "version": "v3" } ]

2009-11-11

[ [ "Astefanesei", "Dumitru", "" ], [ "Radu", "Eugen", "" ] ]

The thermodynamical properties of a dipole black ring are derived using the quasilocal formalism. We find that the dipole charge appears in the first law in the same manner as a global charge. Using the Gibbs-Duhem relation, we also provide a non-trivial check of the entropy/area relationship for the dipole ring. A preliminary study of the thermodynamic stability indicates that the neutral ring is unstable to angular fluctuations.

8.785244

7.259171

7.805469

7.193635

7.056401

7.163314

7.353019

6.725646

6.98923

9.269489

7.319888

7.268533

7.986089

7.538435

7.613547

7.416769

7.569363

7.316587

7.568545

7.863798

7.546066

hep-th/0403146

Alexander I. Nesterov

Alexander I. Nesterov and F. Aceves de la Cruz

On infinite-dimensional representations of the rotation group and Dirac monopole

JHEP style, 16 pages. Submitted to JHEP

null

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

null

The Dirac monopole problem is studied in details within the framework of infinite-dimensional representations of the rotation group, and a consistent pointlike monopole theory with an arbitrary magnetic charge is deduced.

[ { "created": "Sat, 13 Mar 2004 17:07:05 GMT", "version": "v1" } ]

2013-04-29

[ [ "Nesterov", "Alexander I.", "" ], [ "de la Cruz", "F. Aceves", "" ] ]

The Dirac monopole problem is studied in details within the framework of infinite-dimensional representations of the rotation group, and a consistent pointlike monopole theory with an arbitrary magnetic charge is deduced.

13.662245

9.576924

12.449131

10.300874

10.617327

11.718696

10.25152

10.70875

10.291717

13.090788

10.64476

11.298807

13.107524

12.004604

11.735552

12.098879

11.215152

11.635819

11.612307

12.470083

12.102205

hep-th/9301089

Doron Gepner

String Theory on Calabi--Yau Manifolds: The Three Generations Case

Priceton preprint, December 1987. Note: this paper appeared only as a preprint on December 1987. Recently, a number of physicists have suggested its republication due to the fact that old preprints are not easily accesible. This is the original tex file used at that time

null

hep-th

null

Recently, string theory on Calabi--Yau manifolds was constructed and was shown to be a fully consistent, space--time supersymmetric string theory. The physically interesting case is the case of three generations. Intriguingly, it appears at the present that there is a unique manifold which gives rise to three generations. We describe in this paper a full fledged string theory on this manifold in which the complete spectrum and all the Yukawa couplings can be computed exactly.

[ { "created": "Fri, 22 Jan 1993 03:27:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gepner", "Doron", "" ] ]

Recently, string theory on Calabi--Yau manifolds was constructed and was shown to be a fully consistent, space--time supersymmetric string theory. The physically interesting case is the case of three generations. Intriguingly, it appears at the present that there is a unique manifold which gives rise to three generations. We describe in this paper a full fledged string theory on this manifold in which the complete spectrum and all the Yukawa couplings can be computed exactly.

10.286465

9.023376

10.969942

8.939271

8.694044

9.481413

9.628781

8.774093

9.697852

10.89757

9.505922

9.357512

9.939589

9.292559

8.982677

9.297122

9.115854

9.400566

9.371255

10.157448

9.23967

hep-th/0212185

Augusto Sagnotti

D. Francia, A. Sagnotti (U. Roma "Tor Vergata")

On the geometry of higher-spin gauge fields

Updated version for the Proceedings of the Johns Hopkins Workshop, Goteborg, Aug. 24-26 2003, and of the Gunnar Nordstrom Symposium, Helsinki, Aug. 27-30 2003

Class.Quant.Grav. 20 (2003) S473-S486

10.1088/0264-9381/20/12/313

ROM2F-02/32

hep-th

null

We review a recent construction of the free field equations for totally symmetric tensors and tensor-spinors that exhibits the corresponding linearized geometry. These equations are not local for all spins >2, involve unconstrained fields and gauge parameters, rest on the curvatures introduced long ago by de Wit and Freedman, and reduce to the local (Fang-)Fronsdal form upon partial gauge fixing. We also describe how the higher-spin geometry is realized in free String Field Theory, and how the gauge fixing to the light cone can be effected. Finally, we review the essential features of local compensator forms for the higher-spin bosonic and fermionic equations with the same unconstrained gauge symmetry.

[ { "created": "Mon, 16 Dec 2002 18:32:55 GMT", "version": "v1" }, { "created": "Thu, 18 Mar 2004 16:15:56 GMT", "version": "v2" } ]

2009-11-07

[ [ "Francia", "D.", "", "U. Roma \"Tor Vergata\"" ], [ "Sagnotti", "A.", "", "U. Roma \"Tor Vergata\"" ] ]

We review a recent construction of the free field equations for totally symmetric tensors and tensor-spinors that exhibits the corresponding linearized geometry. These equations are not local for all spins >2, involve unconstrained fields and gauge parameters, rest on the curvatures introduced long ago by de Wit and Freedman, and reduce to the local (Fang-)Fronsdal form upon partial gauge fixing. We also describe how the higher-spin geometry is realized in free String Field Theory, and how the gauge fixing to the light cone can be effected. Finally, we review the essential features of local compensator forms for the higher-spin bosonic and fermionic equations with the same unconstrained gauge symmetry.

19.364206

15.592443

20.800503

15.183773

14.982001

14.961448

16.587198

15.903115

15.728664

23.243181

15.805437

16.510378

18.113188

16.772835

18.180166

17.277166

16.232206

16.774654

17.067757

18.947384

16.65653

hep-th/9702076

Igor Klebanov

Igor R. Klebanov

World Volume Approach to Absorption by Non-dilatonic Branes

14 pages, harvmac; section 3 revised, references added, all conclusions remain unchanged

Nucl.Phys. B496 (1997) 231-242

10.1016/S0550-3213(97)00235-6

PUPT-1682

hep-th

null

We calculate classical cross sections for absorption of massless scalars by the extremal 3-branes of type IIB theory, and by the extremal 2- and 5-branes of M-theory. The results are compared with corresponding calculations in the world volume effective theories. For all three cases we find agreement in the scaling with the energy and the number of coincident branes. For 3-branes, whose stringy description is known in detail in terms of multiple D-branes, the string theoretic absorption cross section for low energy dilatons is in exact agreement with the classical gravity. This suggests that scattering from extremal 3-branes is a unitary process well described by perturbative string theory.

[ { "created": "Sun, 9 Feb 1997 21:26:35 GMT", "version": "v1" }, { "created": "Mon, 10 Feb 1997 22:51:20 GMT", "version": "v2" } ]

2009-10-30

[ [ "Klebanov", "Igor R.", "" ] ]

We calculate classical cross sections for absorption of massless scalars by the extremal 3-branes of type IIB theory, and by the extremal 2- and 5-branes of M-theory. The results are compared with corresponding calculations in the world volume effective theories. For all three cases we find agreement in the scaling with the energy and the number of coincident branes. For 3-branes, whose stringy description is known in detail in terms of multiple D-branes, the string theoretic absorption cross section for low energy dilatons is in exact agreement with the classical gravity. This suggests that scattering from extremal 3-branes is a unitary process well described by perturbative string theory.

8.072524

6.394781

7.806695

7.039654

7.165936

6.786126

6.733335

6.736731

6.695673

8.606794

6.983901

6.961509

7.813579

6.849381

7.433983

6.926864

7.102566

6.934089

7.288363

7.911014

7.071935

hep-th/0506007

Pedro Bordalo

Closed string tachyons in a smooth curved background

11 pages, 1 figure

null

hep-th

null

Closed string tachyon condensation has been studied in orbifolds C^2/Z_{N,p} of flat space, using the chiral ring of the underlying N=2 conformal field theory. Here we show that similar phenomena occur in the curved smooth background obtained by adding NS5-branes, such that chiral tachyons are localised on lens submanifolds SU(2)/Z_{N,p}. We find a level-independent subring which coincides with that of C^2/Z_{N,p}, corresponding to condensation processes similar to those of hep-th/0111154. We also study level-dependent chiral tachyons.

[ { "created": "Wed, 1 Jun 2005 11:50:38 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bordalo", "Pedro", "" ] ]

Closed string tachyon condensation has been studied in orbifolds C^2/Z_{N,p} of flat space, using the chiral ring of the underlying N=2 conformal field theory. Here we show that similar phenomena occur in the curved smooth background obtained by adding NS5-branes, such that chiral tachyons are localised on lens submanifolds SU(2)/Z_{N,p}. We find a level-independent subring which coincides with that of C^2/Z_{N,p}, corresponding to condensation processes similar to those of hep-th/0111154. We also study level-dependent chiral tachyons.

10.760959

10.118593

14.057712

9.541109

10.473413

9.103725

9.83445

10.846394

10.263902

13.397201

10.027879

10.17724

11.511294

10.121247

9.706222

9.971856

9.990213

10.359819

10.101437

11.369263

9.882264

hep-th/9905057

Jose M. F. Labastida

J. M. F. Labastida

Chern-Simons Gauge Theory: Ten Years After

62 pages, 21 figures, lecture delivered at the workshop "Trends in Theoretical Physics II", Buenos Aires, November 1998

null

10.1063/1.59663

null

hep-th math.GT

null

A brief review on the progress made in the study of Chern-Simons gauge theory since its relation to knot theory was discovered ten years ago is presented. Emphasis is made on the analysis of the perturbative study of the theory and its connection to the theory of Vassiliev invariants. It is described how the study of the quantum field theory for three different gauge fixings leads to three different representations for Vassiliev invariants. Two of these gauge fixings lead to well known representations: the covariant Landau gauge corresponds to the configuration space integrals while the non-covariant light-cone gauge to the Kontsevich integral. The progress made in the analysis of the third gauge fixing, the non-covariant temporal gauge, is described in detail. In this case one obtains combinatorial expressions, instead of integral ones, for Vassiliev invariants. The approach based on this last gauge fixing seems very promising to obtain a full combinatorial formula. We collect the combinatorial expressions for all the Vassiliev invariants up to order four which have been obtained in this approach.

[ { "created": "Sat, 8 May 1999 09:52:13 GMT", "version": "v1" } ]

2009-10-31

[ [ "Labastida", "J. M. F.", "" ] ]

A brief review on the progress made in the study of Chern-Simons gauge theory since its relation to knot theory was discovered ten years ago is presented. Emphasis is made on the analysis of the perturbative study of the theory and its connection to the theory of Vassiliev invariants. It is described how the study of the quantum field theory for three different gauge fixings leads to three different representations for Vassiliev invariants. Two of these gauge fixings lead to well known representations: the covariant Landau gauge corresponds to the configuration space integrals while the non-covariant light-cone gauge to the Kontsevich integral. The progress made in the analysis of the third gauge fixing, the non-covariant temporal gauge, is described in detail. In this case one obtains combinatorial expressions, instead of integral ones, for Vassiliev invariants. The approach based on this last gauge fixing seems very promising to obtain a full combinatorial formula. We collect the combinatorial expressions for all the Vassiliev invariants up to order four which have been obtained in this approach.

4.97809

5.303956

6.054623

5.185806

5.113934

5.407175

5.511182

5.427235

5.080803

5.830871

5.173193

5.071013

5.250311

5.040431

5.236113

5.250247

5.208635

4.981103

5.134207

5.369563

5.016662

hep-th/9402096

Yutaka Hosotani

Spontaneous Breakdown of the Lorentz Invariance

4 pages (1 figure not included), plain TeX, UMN-TH-1238/94

Phys.Rev.D51:2022-2025,1995

10.1103/PhysRevD.51.2022

null

hep-th

null

We re-examine three-dimensional gauge theory with a Chern-Simons term in which the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. A non-vanishing magnetic field leads, through the Nambu-Goldstone theorem, to the decrease of zero-point energies of photons, which accounts for a major part of the mechanism. The asymmetric spectral flow plays an important role. The instability in pure Chern-Simons theory is also noted.

[ { "created": "Wed, 16 Feb 1994 16:02:12 GMT", "version": "v1" } ]

2010-11-01

[ [ "Hosotani", "Yutaka", "" ] ]

We re-examine three-dimensional gauge theory with a Chern-Simons term in which the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. A non-vanishing magnetic field leads, through the Nambu-Goldstone theorem, to the decrease of zero-point energies of photons, which accounts for a major part of the mechanism. The asymmetric spectral flow plays an important role. The instability in pure Chern-Simons theory is also noted.

12.106275

10.083546

13.349107

10.160756

9.055043

9.996425

10.22929

9.364727

9.332217

11.16007

10.206144

10.306539

10.922817

10.744533

10.683546

10.445756

10.573325

10.460664

10.431475

10.935762

10.478233

hep-th/0405136

Hiroshi Hotta

Hiroshi Hotta, Mikio Namiki and Masahiko Kanenaga

Stochastic quantization of Born-Infeld field

14pages in LaTeX format with 6 figures in EPS format

null

hep-th

null

We stochastically quantize the Born-Infeld field which can hardly be dealtwith by means of the standard canonical and/or path-integral quantization methods. We set a hypothetical Langevin equation in order to quantize the Born-Infeld field, following the basic idea of stochastic quantization method. Numerically solving this nonlinear Langevin equation, we obtain a sort of "particle mass" associated with the gauge-invariant Born-Infeld field as a function of the so-called universal length. This is a revised version of which original non-electronic one was published in 1995 by RISE in Waseda Univ.

[ { "created": "Sat, 15 May 2004 08:06:32 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hotta", "Hiroshi", "" ], [ "Namiki", "Mikio", "" ], [ "Kanenaga", "Masahiko", "" ] ]

We stochastically quantize the Born-Infeld field which can hardly be dealtwith by means of the standard canonical and/or path-integral quantization methods. We set a hypothetical Langevin equation in order to quantize the Born-Infeld field, following the basic idea of stochastic quantization method. Numerically solving this nonlinear Langevin equation, we obtain a sort of "particle mass" associated with the gauge-invariant Born-Infeld field as a function of the so-called universal length. This is a revised version of which original non-electronic one was published in 1995 by RISE in Waseda Univ.

15.089622

15.34586

16.546789

15.345867

14.630213

15.650287

15.35733

14.328479

14.623322

15.947574

14.376728

13.988388

14.264589

14.017954

13.635877

13.827461

14.106215

14.640821

13.833205

14.118564

14.385437

1306.4485

Konstantin Klimenko

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

Suppression of superconductivity by inhomogeneous chiral condensation in the NJL$_2$ model

New references and figures added; 12 pages, 5 figures

null

10.1142/S0217751X14500250

null

hep-th

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

We investigate the possibility of spatially inhomogeneous chiral and Cooper, or superconducting, pairing in the (1+1)-dimensional model by Chodos et al [ Phys. Rev. D61, 045011 (2000)] generalized to continuous chiral invariance. The consideration is performed at nonzero temperature $T$ and quark number chemical potential $\mu$. It is shown in the framework of the Fulde--Ferrel inhomogeneity ansatz for chiral and Cooper condensates that if $G_1>G_2$, where $G_1$ and $G_2$ are the coupling constants in the quark-antiquark and diquark channels, then in the $(\mu,T)$-phase diagram the superconducting phase is suppressed by spatially inhomogeneous chiral spiral phase with broken chiral symmetry. In contrast, in the above mentioned original Chodos et al model, where only the opportunity for homogeneous condensates were taken into account, the superconducting phase is realized at sufficiently high values of $\mu$ at arbitrary values of $G_2>0$, including the interval $0<G_2<G_1$.

[ { "created": "Wed, 19 Jun 2013 10:53:30 GMT", "version": "v1" }, { "created": "Fri, 13 Dec 2013 09:07:14 GMT", "version": "v2" } ]

2015-06-16

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

We investigate the possibility of spatially inhomogeneous chiral and Cooper, or superconducting, pairing in the (1+1)-dimensional model by Chodos et al [ Phys. Rev. D61, 045011 (2000)] generalized to continuous chiral invariance. The consideration is performed at nonzero temperature $T$ and quark number chemical potential $\mu$. It is shown in the framework of the Fulde--Ferrel inhomogeneity ansatz for chiral and Cooper condensates that if $G_1>G_2$, where $G_1$ and $G_2$ are the coupling constants in the quark-antiquark and diquark channels, then in the $(\mu,T)$-phase diagram the superconducting phase is suppressed by spatially inhomogeneous chiral spiral phase with broken chiral symmetry. In contrast, in the above mentioned original Chodos et al model, where only the opportunity for homogeneous condensates were taken into account, the superconducting phase is realized at sufficiently high values of $\mu$ at arbitrary values of $G_2>0$, including the interval $0<G_2<G_1$.

5.984499

6.254077

5.925441

5.630478

6.33434

6.380567

6.369898

5.946632

5.834997

6.269366

5.983814

6.073387

5.993651

5.89454

5.885727

5.899035

6.023054

6.129778

5.796193

5.802845

5.980904

1909.12409

Piljin Yi

Ho-Ung Yee and Piljin Yi

Topology of Generalized Spinors and Chiral Anomaly

42 pages, 1 figure

Phys. Rev. D 101, 045007 (2020)

10.1103/PhysRevD.101.045007

KIAS-P19054

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

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

Weyl fermions with nonlinear dispersion have appeared in real world systems, such as in the Weyl semi-metals and topological insulators. We consider the most general form of Dirac operators, and study its topological properties embedded in the chiral anomaly, in the index theorem, and in the odd-dimensional partition function, by employing the heat kernel. We find that all of these topological quantities are enhanced by a winding number defined by the Dirac operator in the momentum space, regardless of the spacetime dimensions. The chiral anomaly in $d=3+1$, in particular, is also confirmed via the conventional Feynman diagram. These interconnected results allow us to clarify the relationship between the chiral anomaly and the Chern number of the Berry connection, under dispute in some recent literatures, and also lead to a compact proof of the Nielsen-Ninomiya theorem.

[ { "created": "Thu, 26 Sep 2019 21:45:27 GMT", "version": "v1" } ]

2020-02-19

[ [ "Yee", "Ho-Ung", "" ], [ "Yi", "Piljin", "" ] ]

Weyl fermions with nonlinear dispersion have appeared in real world systems, such as in the Weyl semi-metals and topological insulators. We consider the most general form of Dirac operators, and study its topological properties embedded in the chiral anomaly, in the index theorem, and in the odd-dimensional partition function, by employing the heat kernel. We find that all of these topological quantities are enhanced by a winding number defined by the Dirac operator in the momentum space, regardless of the spacetime dimensions. The chiral anomaly in $d=3+1$, in particular, is also confirmed via the conventional Feynman diagram. These interconnected results allow us to clarify the relationship between the chiral anomaly and the Chern number of the Berry connection, under dispute in some recent literatures, and also lead to a compact proof of the Nielsen-Ninomiya theorem.

10.190459

11.093819

10.215194

10.088677

10.196508

10.961098

9.716833

10.419698

9.895751

10.989264

9.601687

9.417678

9.491084

9.193772

9.21277

9.262501

9.197006

9.660019

9.0695

9.763527

9.281864

hep-th/0507273

Stefano Bolognesi

Domain Walls and Flux Tubes

34 pages, 21 figures

Nucl.Phys. B730 (2005) 127-149

10.1016/j.nuclphysb.2005.09.032

null

hep-th

null

We present a new vortex solution made of a domain wall compactified into a cylinder and stabilized by the magnetic flux within. When the thickness of the wall is much less than the radius of the vortex some precise results can be obtained, such as the tension spectrum and profile functions. This vortex can naturally end on the wall that has created it, making the simplest junction between a wall and a vortex. We then classify every kind of junction between a flux tube and domain wall. The criteria for classification are as follows: a flux can or can not end on the wall, and when it ends, the flux must go somewhere. Various examples are discussed, including abelian and non-ablelian theories, as well as supersymmetric and non-supersymmetric theories.

[ { "created": "Wed, 27 Jul 2005 19:36:31 GMT", "version": "v1" } ]

2010-04-05

[ [ "Bolognesi", "Stefano", "" ] ]

We present a new vortex solution made of a domain wall compactified into a cylinder and stabilized by the magnetic flux within. When the thickness of the wall is much less than the radius of the vortex some precise results can be obtained, such as the tension spectrum and profile functions. This vortex can naturally end on the wall that has created it, making the simplest junction between a wall and a vortex. We then classify every kind of junction between a flux tube and domain wall. The criteria for classification are as follows: a flux can or can not end on the wall, and when it ends, the flux must go somewhere. Various examples are discussed, including abelian and non-ablelian theories, as well as supersymmetric and non-supersymmetric theories.

13.826031

12.903156

13.701301

11.961051

14.684064

12.737743

12.056788

12.260307

12.459394

14.47051

12.66188

12.238365

12.903394

12.189342

12.55599

12.647106

12.550394

12.579279

12.884171

12.375898

12.497747

hep-th/0410225

Nelson Pinto-Neto

Perturbations in Bouncing Cosmological Models

9 pages, no figures

Int.J.Mod.Phys. D13 (2004) 1419-1424

10.1142/S0218271804005626

null

hep-th

null

I describe the features and general properties of bouncing models and the evolution of cosmological perturbations on such backgrounds. I will outline possible observational consequences of the existence of a bounce in the primordial Universe and I will make a comparison of these models with standard long inflationary scenarios.

[ { "created": "Fri, 22 Oct 2004 20:05:05 GMT", "version": "v1" } ]

2009-11-10

[ [ "Pinto-Neto", "Nelson", "" ] ]

I describe the features and general properties of bouncing models and the evolution of cosmological perturbations on such backgrounds. I will outline possible observational consequences of the existence of a bounce in the primordial Universe and I will make a comparison of these models with standard long inflationary scenarios.

13.770628

10.003603

9.363789

10.601058

10.760409

11.420553

10.653326

10.923395

11.803054

10.999825

11.989283

12.495639

10.758247

11.043077

11.419297

10.986291

11.124901

10.93735

11.971994

11.207707

11.755699

1610.09949

Jan Gutowski

A. Fontanella and J. B. Gutowski

Moduli Spaces of Transverse Deformations of Near-Horizon Geometries

Some minor errors in linearized field equations in sections 3 and 4 corrected, with no change to results. Other minor typos removed. 21 pages, latex

null

10.1088/1751-8121/aa6cbf

DMUS--MP--16/22

hep-th

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

We investigate deformations of extremal near-horizon geometries in Einstein-Maxwell-Dilaton theory, including various topological terms, and also in D=11 supergravity. By linearizing the field equations and Bianchi identities over the compact spatial cross-sections of the near-horizon geometry, we prove that the moduli associated with such deformations are constrained by elliptic systems of PDEs. The moduli space of deformations of near-horizon geometries in these theories is therefore shown to be finite dimensional.

[ { "created": "Mon, 31 Oct 2016 14:50:21 GMT", "version": "v1" }, { "created": "Sat, 12 Nov 2016 14:37:33 GMT", "version": "v2" } ]

2017-05-24

[ [ "Fontanella", "A.", "" ], [ "Gutowski", "J. B.", "" ] ]

We investigate deformations of extremal near-horizon geometries in Einstein-Maxwell-Dilaton theory, including various topological terms, and also in D=11 supergravity. By linearizing the field equations and Bianchi identities over the compact spatial cross-sections of the near-horizon geometry, we prove that the moduli associated with such deformations are constrained by elliptic systems of PDEs. The moduli space of deformations of near-horizon geometries in these theories is therefore shown to be finite dimensional.

6.944767

6.803527

6.203299

5.969885

6.726783

6.28206

6.188711

6.165263

6.106385

6.50879

6.279357

6.276971

6.085944

6.08395

6.366854

6.244409

6.217

6.072073

6.342306

6.198509

6.270677

hep-th/0604001

El Hassan Saidi

Rachid Ahl Laamara, Lalla Btissam Drissi, El Hassan Saidi

D-string fluid in conifold: I. Topological gauge model

null

Nucl.Phys.B743:333-353,2006

10.1016/j.nuclphysb.2006.03.016

Lab/UFR-HEP/0512/GNPHE0514/VACBT0514

hep-th

null

Motivated by similarities between quantum Hall systems \`{a} la Susskind and aspects of topological string theory on conifold as well as results obtained in hep-th/0601020, we study the dynamics of D-string fluids running in deformed conifold in presence of a strong and constant RR background B-field. We first introduce the basis of D-string system in fluid approximation and then derive the holomorphic non commutative gauge invariant field action describing its dynamics in conifold. This study may be also viewed as embedding Susskind description for Laughlin liquid in type IIB string theory. FQH systems on real manifolds $R\times S^{2}$ and $S^{3}$ are shown to be recovered by restricting conifold to its Lagrangian sub-manifolds. Aspects of quantum behaviour of the string fluid are discussed.

[ { "created": "Sat, 1 Apr 2006 07:31:42 GMT", "version": "v1" } ]

2008-11-26

[ [ "Laamara", "Rachid Ahl", "" ], [ "Drissi", "Lalla Btissam", "" ], [ "Saidi", "El Hassan", "" ] ]

Motivated by similarities between quantum Hall systems \`{a} la Susskind and aspects of topological string theory on conifold as well as results obtained in hep-th/0601020, we study the dynamics of D-string fluids running in deformed conifold in presence of a strong and constant RR background B-field. We first introduce the basis of D-string system in fluid approximation and then derive the holomorphic non commutative gauge invariant field action describing its dynamics in conifold. This study may be also viewed as embedding Susskind description for Laughlin liquid in type IIB string theory. FQH systems on real manifolds $R\times S^{2}$ and $S^{3}$ are shown to be recovered by restricting conifold to its Lagrangian sub-manifolds. Aspects of quantum behaviour of the string fluid are discussed.

15.915219

13.970406

15.378839

14.078918

14.924767

14.3135

15.492259

14.490097

14.669731

17.636873

14.067337

14.851624

15.479366

14.787607

15.158756

14.874149

15.043885

14.882418

14.437416

15.452787

14.643274

1211.5460

Senarath P. de Alwis

S. P. de Alwis

Gauge Threshold Corrections and Field Redefinitions

Expanded discussion of chiral linear duality and IIB gauge threshold corrections, additional clarification of some points, incorrect statement corrected, other minor changes. 20 pages

null

10.1016/j.physletb.2013.04.007

null

hep-th

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

We review the argument for field redefinitions arising from threshold corrections to heterotic string gauge couplings, and the relation between the linear and the chiral multiplet. In the type IIB case we argue that the necessity for moduli mixing at one loop order has not been clearly established, since this is based on extending the background field expansion way beyond its regime of validity. We also resolve some issues related to the form of non-perturbative terms resulting from gaugino condensation. This enables us to estimate the effective cutoff in the field theory by evaluating the non-perturbative superpotential by two different methods, and find that it is around the Kaluza-Klein scale, as one might have expected on general grounds of self-consistency.

[ { "created": "Fri, 23 Nov 2012 10:38:13 GMT", "version": "v1" }, { "created": "Sat, 15 Dec 2012 12:14:08 GMT", "version": "v2" }, { "created": "Tue, 12 Mar 2013 19:04:05 GMT", "version": "v3" } ]

2015-06-12

[ [ "de Alwis", "S. P.", "" ] ]

We review the argument for field redefinitions arising from threshold corrections to heterotic string gauge couplings, and the relation between the linear and the chiral multiplet. In the type IIB case we argue that the necessity for moduli mixing at one loop order has not been clearly established, since this is based on extending the background field expansion way beyond its regime of validity. We also resolve some issues related to the form of non-perturbative terms resulting from gaugino condensation. This enables us to estimate the effective cutoff in the field theory by evaluating the non-perturbative superpotential by two different methods, and find that it is around the Kaluza-Klein scale, as one might have expected on general grounds of self-consistency.

12.34226

11.686336

12.732925

11.397635

11.329269

12.024082

12.376914

10.751532

11.065258

11.891801

11.452406

11.403675

12.233088

11.08059

11.623115

11.487773

11.156941

11.347831

11.626214

11.784192

11.466408

hep-th/9808139

Angel Uranga

L. E. Ibanez, R. Rabadan, A. M. Uranga

Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua

Latex, 30 pages, 2 eps figures. Minor corrections

Nucl.Phys.B542:112-138,1999

10.1016/S0550-3213(98)00791-3

FTUAM-98/16, IASSNS-HEP-98/72

hep-th hep-ph

null

We study the cancellation of U(1) anomalies in Type I and Type IIB D=4, N=1 string vacua. We first consider the case of compact toroidal $Z_N$ Type IIB orientifolds and then proceed to the non-compact case of Type IIB D3 branes at orbifold and orientifold singularities. Unlike the case of the heterotic string we find that for each given vacuum one has generically more than one U(1) with non-vanishing triangle anomalies. There is a generalized Green-Schwarz mechanism by which these anomalies are cancelled. This involves only the Ramond-Ramond scalars coming from the twisted closed string spectrum but not those coming from the untwisted sector. Associated to the anomalous U(1)'s there are field-dependent Fayet-Illiopoulos terms whose mass scale is fixed by undetermined vev's of the NS-NS partners of the relevant twisted RR fields. Thus, unlike what happens in heterotic vacua, the masses of the anomalous U(1)'s gauge bosons may be arbitrarily light. In the case of D3 branes at singularities, appropriate factorization of the U(1)'s constrains the Chan-Paton matrices beyond the restrictions from cancellation of non-abelian anomalies. These conditions can be translated to constraints on the T-dual Type IIB brane box configurations. We also construct a new large family of N=1 chiral gauge field theories from D3 branes at orientifold singularities, and check its non-abelian and U(1) anomalies cancel.

[ { "created": "Fri, 21 Aug 1998 19:33:41 GMT", "version": "v1" }, { "created": "Tue, 29 Sep 1998 15:45:03 GMT", "version": "v2" } ]

2009-10-09

[ [ "Ibanez", "L. E.", "" ], [ "Rabadan", "R.", "" ], [ "Uranga", "A. M.", "" ] ]

We study the cancellation of U(1) anomalies in Type I and Type IIB D=4, N=1 string vacua. We first consider the case of compact toroidal $Z_N$ Type IIB orientifolds and then proceed to the non-compact case of Type IIB D3 branes at orbifold and orientifold singularities. Unlike the case of the heterotic string we find that for each given vacuum one has generically more than one U(1) with non-vanishing triangle anomalies. There is a generalized Green-Schwarz mechanism by which these anomalies are cancelled. This involves only the Ramond-Ramond scalars coming from the twisted closed string spectrum but not those coming from the untwisted sector. Associated to the anomalous U(1)'s there are field-dependent Fayet-Illiopoulos terms whose mass scale is fixed by undetermined vev's of the NS-NS partners of the relevant twisted RR fields. Thus, unlike what happens in heterotic vacua, the masses of the anomalous U(1)'s gauge bosons may be arbitrarily light. In the case of D3 branes at singularities, appropriate factorization of the U(1)'s constrains the Chan-Paton matrices beyond the restrictions from cancellation of non-abelian anomalies. These conditions can be translated to constraints on the T-dual Type IIB brane box configurations. We also construct a new large family of N=1 chiral gauge field theories from D3 branes at orientifold singularities, and check its non-abelian and U(1) anomalies cancel.

6.815462

7.108899

7.332784

6.516617

6.915823

7.36964

7.298538

7.156681

6.904415

7.904888

6.683942

6.773272

6.739713

6.4643

6.865604

6.783348

6.716335

6.760101

6.565022

6.96346

6.53639

1006.4770

Stefano Bellucci

Stefano Bellucci, Sergey Krivonos and Anton Sutulin

N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models and Non-Abelian Monopole Background

11 pages, LaTeX, no figures, PACS: 12.60.Jv, 03.65.-w, 11.30.Pb, 14.80.Hv; Talk, it will be published in the proceedings of the XIX International Colloquium "Integrable Systems and Quantum Symmetries", Prague, 17-19 June 2010; reference added, minor corrections

JHEP 1102 (2011) 038

null

hep-th

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

We construct a Lagrangian formulation of \Nf supersymmetric mechanics with hyper-K\"{a}hler sigma models in a bosonic sector in the non-Abelian background gauge field. The resulting action includes a wide class of \Nf supersymmetric mechanics describing the motion of an isospin-carrying particle over spaces with non-trivial geometry. In two examples we discuss in details, the background fields are identified with the field of BPST instantons in the flat and Taub-NUT spaces.

[ { "created": "Thu, 24 Jun 2010 12:18:59 GMT", "version": "v1" }, { "created": "Fri, 10 Dec 2010 13:12:35 GMT", "version": "v2" }, { "created": "Tue, 14 Dec 2010 15:39:22 GMT", "version": "v3" } ]

2012-03-22

[ [ "Bellucci", "Stefano", "" ], [ "Krivonos", "Sergey", "" ], [ "Sutulin", "Anton", "" ] ]

We construct a Lagrangian formulation of \Nf supersymmetric mechanics with hyper-K\"{a}hler sigma models in a bosonic sector in the non-Abelian background gauge field. The resulting action includes a wide class of \Nf supersymmetric mechanics describing the motion of an isospin-carrying particle over spaces with non-trivial geometry. In two examples we discuss in details, the background fields are identified with the field of BPST instantons in the flat and Taub-NUT spaces.

12.057559

7.718495

14.435324

8.858952

7.824321

8.226568

8.891451

7.919402

8.793308

14.973877

8.591197

10.470213

12.119048

10.78974

10.367224

10.267078

10.749806

9.947031

10.615512

12.340517

10.390514

hep-th/9411156

Nobuyoshi Ohta

Fiorenzo Bastianelli and Nobuyoshi Ohta

Note on W3 Realizations of the Bosonic String

9 pages, Latex

Phys. Lett. B348 (1995) 411

10.1016/0370-2693(95)00192-N

NBI-HE-94-51, OU-HET 203

hep-th

null

In order to investigate to what extent string theories are different vacua of a general string theory (the ``universal string"), we discuss realizations of the bosonic string as particular background of certain types of $W$-strings. Our discussions include linearized $W_3^{lin}$, non-critical $W_3$, linearized $W_3^{(2)lin}$ and critical $W_3^{(2)}$ realizations of the bosonic string.

[ { "created": "Tue, 22 Nov 1994 00:48:34 GMT", "version": "v1" } ]

2009-10-28

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

In order to investigate to what extent string theories are different vacua of a general string theory (the ``universal string"), we discuss realizations of the bosonic string as particular background of certain types of $W$-strings. Our discussions include linearized $W_3^{lin}$, non-critical $W_3$, linearized $W_3^{(2)lin}$ and critical $W_3^{(2)}$ realizations of the bosonic string.

11.838508

10.343666

12.414145

9.451889

11.193308

9.262569

9.660896

9.341433

9.11365

13.873864

9.254155

10.106247

11.218858

9.894016

9.925352

9.996547

9.809483

10.258464

9.956614

11.378033

9.914145

0711.2534

Radu Tatar

Radu Tatar and Ben Wetenhall

SQCD Vacua and Geometrical Engineering

21 Pages, Latex, 8 Figures

Phys.Rev.D77:046007,2008

10.1103/PhysRevD.77.046007

LTH/775

hep-th

null

We consider the geometrical engineering constructions for the N = 1 SQCD vacua recently proposed by Giveon and Kutasov. After one T-duality, the geometries with wrapped D5 branes become N = 1 brane configurations with NS branes and D4 branes. The field theories encoded by the geometries contain extra massive adjoint fields for the flavor group. After performing a flop, the geometries contain branes, antibranes and branes wrapped on non-holomorphic cycles. The various tachyon condensations between pairs of wrapped D5 branes and anti D5 branes together with deformations of the cycles give rise to a variety of supersymmetric and metastable non-supersymmetric vacua.

[ { "created": "Fri, 16 Nov 2007 17:36:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Tatar", "Radu", "" ], [ "Wetenhall", "Ben", "" ] ]

We consider the geometrical engineering constructions for the N = 1 SQCD vacua recently proposed by Giveon and Kutasov. After one T-duality, the geometries with wrapped D5 branes become N = 1 brane configurations with NS branes and D4 branes. The field theories encoded by the geometries contain extra massive adjoint fields for the flavor group. After performing a flop, the geometries contain branes, antibranes and branes wrapped on non-holomorphic cycles. The various tachyon condensations between pairs of wrapped D5 branes and anti D5 branes together with deformations of the cycles give rise to a variety of supersymmetric and metastable non-supersymmetric vacua.

9.874542

8.859748

10.40194

9.552474

9.726288

9.202419

9.461647

9.812208

9.049719

11.397304

8.978318

9.582077

9.906442

9.304433

9.555639

9.139197

9.356076

9.69545

9.169776

9.813165

9.327984

hep-th/9408011

null

S. Viefers, F. Ravndal and T. Haugset

Ideal quantum gases in two dimensions

17 pages

null

10.1119/1.17922

null

hep-th

null

Thermodynamic properties of non-relativistic bosons and fermions in two spatial dimensions and without interactions are derived. All the virial coefficients are the same except for the second, for which the signs are opposite. This results in the same specific heat for the two gases. Existing equations of state for the free anyon gas are also discussed and shown to break down at low temperatures or high densities.

[ { "created": "Tue, 2 Aug 1994 15:05:06 GMT", "version": "v1" }, { "created": "Wed, 3 Aug 1994 08:48:19 GMT", "version": "v2" } ]

2009-10-28

[ [ "Viefers", "S.", "" ], [ "Ravndal", "F.", "" ], [ "Haugset", "T.", "" ] ]

Thermodynamic properties of non-relativistic bosons and fermions in two spatial dimensions and without interactions are derived. All the virial coefficients are the same except for the second, for which the signs are opposite. This results in the same specific heat for the two gases. Existing equations of state for the free anyon gas are also discussed and shown to break down at low temperatures or high densities.

10.949506

10.660641

10.192059

9.753487

11.057705

10.394676

9.336254

9.929899

9.610972

11.814659

9.296175

9.74517

10.53668

9.92802

10.087073

9.943953

9.983665

10.020361

9.969163

10.491488

9.962564

1209.1331

Patrizia Vitale

Elisabetta Di Grezia, Giampiero Esposito, Marco Figliolia, Patrizia Vitale

The Seiberg-Witten map for non-commutative pure gravity and vacuum Maxwell theory

Misprints corrected. References added

null

hep-th gr-qc

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

In this paper the Seiberg-Witten map is first analyzed for non-commutative Yang-Mills theories with the related methods, developed in the literature, for its explicit construction, that hold for any gauge group. These are exploited to write down the second-order Seiberg-Witten map for pure gravity with a constant non-commutativity tensor. In the analysis of pure gravity when the classical space-time solves the vacuum Einstein equations, we find for three distinct vacuum solutions that the corresponding non-commutative field equations do not have solution to first order in non-commutativity, when the Seiberg-Witten map is eventually inserted. In the attempt of understanding whether or not this is a peculiar property of gravity, in the second part of the paper, the Seiberg-Witten map is considered in the simpler case of Maxwell theory in vacuum in the absence of charges and currents. Once more, no obvious solution of the non-commutative field equations is found, unless the electromagnetic potential depends in a very special way on the wave vector.

[ { "created": "Thu, 6 Sep 2012 16:20:04 GMT", "version": "v1" }, { "created": "Thu, 25 Apr 2013 14:19:31 GMT", "version": "v2" } ]

2013-04-26

[ [ "Di Grezia", "Elisabetta", "" ], [ "Esposito", "Giampiero", "" ], [ "Figliolia", "Marco", "" ], [ "Vitale", "Patrizia", "" ] ]

In this paper the Seiberg-Witten map is first analyzed for non-commutative Yang-Mills theories with the related methods, developed in the literature, for its explicit construction, that hold for any gauge group. These are exploited to write down the second-order Seiberg-Witten map for pure gravity with a constant non-commutativity tensor. In the analysis of pure gravity when the classical space-time solves the vacuum Einstein equations, we find for three distinct vacuum solutions that the corresponding non-commutative field equations do not have solution to first order in non-commutativity, when the Seiberg-Witten map is eventually inserted. In the attempt of understanding whether or not this is a peculiar property of gravity, in the second part of the paper, the Seiberg-Witten map is considered in the simpler case of Maxwell theory in vacuum in the absence of charges and currents. Once more, no obvious solution of the non-commutative field equations is found, unless the electromagnetic potential depends in a very special way on the wave vector.

9.448532

9.404982

9.164288

9.026453

9.325777

10.07446

9.907642

9.298635

9.210608

10.440587

9.448158

9.160628

8.804603

9.015152

8.97841

9.241707

8.866728

8.813724

8.938742

8.998544

8.624689

0706.3736

Stuart Morgan

Jan Govaerts, Peter D. Jarvis, Stuart O. Morgan, Stephen G. Low

World-line Quantisation of a Reciprocally Invariant System

null

J.Phys.A40:12095-12112,2007

10.1088/1751-8113/40/40/006

UTAS-PHYS-2007-07

hep-th math-ph math.MP

null

We present the world-line quantisation of a system invariant under the symmetries of reciprocal relativity (pseudo-unitary transformations on ``phase space coordinates" $(x^\mu(\tau),p^\mu(\tau))$ which preserve the Minkowski metric and the symplectic form, and global shifts in these coordinates, together with coordinate dependent transformations of an additional compact phase coordinate, $\theta(\tau)$). The action is that of free motion over the corresponding Weyl-Heisenberg group. Imposition of the first class constraint, the generator of local time reparametrisations, on physical states enforces identification of the world-line cosmological constant with a fixed value of the quadratic Casimir of the quaplectic symmetry group $Q(D-1,1)\cong U(D-1,1)\ltimes H(D)$, the semi-direct product of the pseudo-unitary group with the Weyl-Heisenberg group (the central extension of the global translation group, with central extension associated to the phase variable $\theta(\tau)$). The spacetime spectrum of physical states is identified. Even though for an appropriate range of values the restriction enforced by the cosmological constant projects out negative norm states from the physical spectrum, leaving over spin zero states only, the mass-squared spectrum is continuous over the entire real line and thus includes a tachyonic branch as well.

[ { "created": "Tue, 26 Jun 2007 01:09:59 GMT", "version": "v1" } ]

2008-11-26

[ [ "Govaerts", "Jan", "" ], [ "Jarvis", "Peter D.", "" ], [ "Morgan", "Stuart O.", "" ], [ "Low", "Stephen G.", "" ] ]

We present the world-line quantisation of a system invariant under the symmetries of reciprocal relativity (pseudo-unitary transformations on ``phase space coordinates" $(x^\mu(\tau),p^\mu(\tau))$ which preserve the Minkowski metric and the symplectic form, and global shifts in these coordinates, together with coordinate dependent transformations of an additional compact phase coordinate, $\theta(\tau)$). The action is that of free motion over the corresponding Weyl-Heisenberg group. Imposition of the first class constraint, the generator of local time reparametrisations, on physical states enforces identification of the world-line cosmological constant with a fixed value of the quadratic Casimir of the quaplectic symmetry group $Q(D-1,1)\cong U(D-1,1)\ltimes H(D)$, the semi-direct product of the pseudo-unitary group with the Weyl-Heisenberg group (the central extension of the global translation group, with central extension associated to the phase variable $\theta(\tau)$). The spacetime spectrum of physical states is identified. Even though for an appropriate range of values the restriction enforced by the cosmological constant projects out negative norm states from the physical spectrum, leaving over spin zero states only, the mass-squared spectrum is continuous over the entire real line and thus includes a tachyonic branch as well.

8.795177

9.500514

10.119013

8.737457

9.13437

9.074006

8.255407

8.823692

8.901688

10.964686

9.267926

8.756088

9.158566

8.82611

8.572688

8.874778

8.528185

8.60074

8.614576

9.074361

8.713511

hep-th/0202109

null

R.R. Metsaev and A.A. Tseytlin

Exactly solvable model of superstring in Ramond-Ramond plane wave background

33 pages, latex. v4: minor sign corrections in (1.5) and (3.62), to appear in PRD

Phys.Rev.D65:126004,2002

10.1103/PhysRevD.65.126004

null

hep-th

null

We describe in detail the solution of type IIB superstring theory in the maximally supersymmetric plane-wave background with constant null Ramond-Ramond 5-form field strength. The corresponding light-cone Green-Schwarz action found in hep-th/0112044 is quadratic in both bosonic and fermionic coordinates. We find the spectrum of the light-cone Hamiltonian and the string representation of the supersymmetry algebra. The superstring Hamiltonian has a ``harmonic-oscillator'' form in both the string-oscillator and the zero-mode parts and thus has discrete spectrum in all 8 transverse directions. We analyze the structure of the zero-mode sector of the theory, establishing the precise correspondence between the lowest-lying ``massless'' string states and the type IIB supergravity fluctuation modes in the plane-wave background. The zero-mode spectrum has certain similarity to the supergravity spectrum in AdS_5 x S^5 of which the plane-wave background is a special limit. We also compare the plane-wave string spectrum with expected form of the light-cone gauge spectrum of superstring in AdS_5 x S^5.

[ { "created": "Mon, 18 Feb 2002 19:57:51 GMT", "version": "v1" }, { "created": "Mon, 25 Feb 2002 16:41:36 GMT", "version": "v2" }, { "created": "Tue, 19 Mar 2002 19:01:49 GMT", "version": "v3" }, { "created": "Mon, 10 Jun 2002 08:12:12 GMT", "version": "v4" } ]

2009-09-17

[ [ "Metsaev", "R. R.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We describe in detail the solution of type IIB superstring theory in the maximally supersymmetric plane-wave background with constant null Ramond-Ramond 5-form field strength. The corresponding light-cone Green-Schwarz action found in hep-th/0112044 is quadratic in both bosonic and fermionic coordinates. We find the spectrum of the light-cone Hamiltonian and the string representation of the supersymmetry algebra. The superstring Hamiltonian has a ``harmonic-oscillator'' form in both the string-oscillator and the zero-mode parts and thus has discrete spectrum in all 8 transverse directions. We analyze the structure of the zero-mode sector of the theory, establishing the precise correspondence between the lowest-lying ``massless'' string states and the type IIB supergravity fluctuation modes in the plane-wave background. The zero-mode spectrum has certain similarity to the supergravity spectrum in AdS_5 x S^5 of which the plane-wave background is a special limit. We also compare the plane-wave string spectrum with expected form of the light-cone gauge spectrum of superstring in AdS_5 x S^5.

6.325212

6.143185

7.214529

6.014363

6.393384

6.494506

6.322906

6.201915

6.189732

7.204297

6.146255

5.99133

6.501089

5.869966

5.803367

5.825307

5.851692

5.843915

5.927233

6.251561

5.914107

hep-th/0612153

Sergey Grigorian

Minisuperspace Models in M-theory

35 pages, 2 figures, added additional discussion of gauge fixing and self-adjointness of the Hamiltonian, added references

Class.Quant.Grav.24:4881-4913,2007

10.1088/0264-9381/24/20/001

DAMTP-2006-120

hep-th

null

We derive the full canonical formulation of the bosonic sector of 11-dimensional supergravity, and explicitly present the constraint algebra. We then compactify M-theory on a warped product of homogeneous spaces of constant curvature, and construct a minisuperspace of scale factors. First classical behaviour of the minisuperspace system is analysed, and then a quantum theory is constructed. It turns out that there similarities with the "pre-Big Bang" scenario in String Theory.

[ { "created": "Thu, 14 Dec 2006 21:33:08 GMT", "version": "v1" }, { "created": "Fri, 25 May 2007 17:07:10 GMT", "version": "v2" }, { "created": "Sun, 22 Jul 2007 19:01:45 GMT", "version": "v3" } ]

2008-11-26

[ [ "Grigorian", "Sergey", "" ] ]

We derive the full canonical formulation of the bosonic sector of 11-dimensional supergravity, and explicitly present the constraint algebra. We then compactify M-theory on a warped product of homogeneous spaces of constant curvature, and construct a minisuperspace of scale factors. First classical behaviour of the minisuperspace system is analysed, and then a quantum theory is constructed. It turns out that there similarities with the "pre-Big Bang" scenario in String Theory.

12.338161

11.419317

11.772841

10.700108

10.991478

10.581378

11.268026

10.158066

11.094533

12.519731

10.503428

11.624307

10.833816

11.095902

11.208065

10.935395

11.414684

10.963329

11.725481

11.476032

10.929234

1901.04499

Wilke van der Schee

Christian Ecker, Daniel Grumiller, Wilke van der Schee, Shahin Sheikh-Jabbari and Philipp Stanzer

Quantum Null Energy Condition and its (non)saturation in 2d CFTs

37 pages, 9 figures; comments are welcome

SciPost Phys. 6, 036 (2019)

10.21468/SciPostPhys.6.3.036

TUW--18--07, IPM/P-2018/063

hep-th gr-qc

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

We consider the Quantum Null Energy Condition (QNEC) for holographic conformal field theories in two spacetime dimensions (CFT$_2$). We show that QNEC saturates for all states dual to vacuum solutions of AdS$_3$ Einstein gravity, including systems that are far from thermal equilibrium. If the Ryu-Takayanagi surface encounters bulk matter QNEC does not need to be saturated, whereby we give both analytical and numerical examples. In particular, for CFT$_2$ with a global quench dual to AdS$_3$-Vaidya geometries we find a curious half-saturation of QNEC for large entangling regions. We also address order one corrections from quantum backreactions of a scalar field in AdS$_3$ dual to a primary operator of dimension $h$ in a large central charge expansion and explicitly compute both, the backreacted Ryu--Takayanagi surface part and the bulk entanglement contribution to EE and QNEC. At leading order for small entangling regions the contribution from bulk EE exactly cancels the contribution from the back-reacted Ryu-Takayanagi surface, but at higher orders in the size of the region the contributions are almost equal while QNEC is not saturated. For a half-space entangling region we find that QNEC is gapped by $h/4$ in the large $h$ expansion.

[ { "created": "Mon, 14 Jan 2019 19:00:02 GMT", "version": "v1" }, { "created": "Wed, 13 Mar 2019 13:43:00 GMT", "version": "v2" } ]

2019-04-04

[ [ "Ecker", "Christian", "" ], [ "Grumiller", "Daniel", "" ], [ "van der Schee", "Wilke", "" ], [ "Sheikh-Jabbari", "Shahin", "" ], [ "Stanzer", "Philipp", "" ] ]

We consider the Quantum Null Energy Condition (QNEC) for holographic conformal field theories in two spacetime dimensions (CFT$_2$). We show that QNEC saturates for all states dual to vacuum solutions of AdS$_3$ Einstein gravity, including systems that are far from thermal equilibrium. If the Ryu-Takayanagi surface encounters bulk matter QNEC does not need to be saturated, whereby we give both analytical and numerical examples. In particular, for CFT$_2$ with a global quench dual to AdS$_3$-Vaidya geometries we find a curious half-saturation of QNEC for large entangling regions. We also address order one corrections from quantum backreactions of a scalar field in AdS$_3$ dual to a primary operator of dimension $h$ in a large central charge expansion and explicitly compute both, the backreacted Ryu--Takayanagi surface part and the bulk entanglement contribution to EE and QNEC. At leading order for small entangling regions the contribution from bulk EE exactly cancels the contribution from the back-reacted Ryu-Takayanagi surface, but at higher orders in the size of the region the contributions are almost equal while QNEC is not saturated. For a half-space entangling region we find that QNEC is gapped by $h/4$ in the large $h$ expansion.

7.750447

7.789796

9.264877

7.461368

8.074963

7.986628

7.337432

8.04123

7.371233

9.241805

7.757768

7.928892

8.159517

7.773818

7.900435

7.726921

7.782297

7.747325

7.772071

8.113666

7.605595

hep-th/0506051

Carlos Nunez

Elena Caceres and Carlos Nunez

Glueballs of Super Yang-Mills from Wrapped Branes

22 pages plus a appendixes, 2 figures

JHEP 0509 (2005) 027

10.1088/1126-6708/2005/09/027

UTTG-05-05, MIT-CTP-3651

hep-th

null

In this paper we study qualitative features of glueballs in N=1 SYM for models of wrapped branes in IIA and IIB backgrounds. The scalar mode, 0++ is found to be a mixture of the dilaton and the internal part of the metric. We carry out the numerical study of the IIB background. The potential found exhibits a mass gap and produces a discrete spectrum without any cut-off. We propose a regularization procedure needed to make these states normalizable.

[ { "created": "Mon, 6 Jun 2005 20:02:05 GMT", "version": "v1" }, { "created": "Mon, 8 Aug 2005 14:05:55 GMT", "version": "v2" } ]

2009-11-11

[ [ "Caceres", "Elena", "" ], [ "Nunez", "Carlos", "" ] ]

In this paper we study qualitative features of glueballs in N=1 SYM for models of wrapped branes in IIA and IIB backgrounds. The scalar mode, 0++ is found to be a mixture of the dilaton and the internal part of the metric. We carry out the numerical study of the IIB background. The potential found exhibits a mass gap and produces a discrete spectrum without any cut-off. We propose a regularization procedure needed to make these states normalizable.

18.257206

17.197138

17.157028

15.626707

15.357729

14.596307

16.462912

15.577476

15.558661

20.03903

15.919234

16.133101

17.20105

15.875926

15.919909

15.93366

16.211607

16.170843

16.014862

18.29751

16.15107

1807.05747

Edward Corrigan

Edward Corrigan and Cristina Zambon

Type II defects revisited

22 pages, typographical errors corrected

null

10.1007/JHEP09(2018)019

null

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

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

Energy and momentum conservation in the context of a type II, purely transmitting, defect, within a single scalar relativistic two-dimensional field theory, places a severe constraint not only on the nature of the defect but also on the potentials for the scalar fields to either side of it. The constraint is of an unfamiliar type since it requires the Poisson Bracket of the defect contributions to energy and momentum with respect to the defect discontinuity and its conjugate to be balanced by the potential difference across the defect. It is shown that the only solutions to the constraint correspond to the known integrable field theories.

[ { "created": "Mon, 16 Jul 2018 09:19:33 GMT", "version": "v1" }, { "created": "Fri, 20 Jul 2018 09:40:23 GMT", "version": "v2" } ]

2018-09-26

[ [ "Corrigan", "Edward", "" ], [ "Zambon", "Cristina", "" ] ]

Energy and momentum conservation in the context of a type II, purely transmitting, defect, within a single scalar relativistic two-dimensional field theory, places a severe constraint not only on the nature of the defect but also on the potentials for the scalar fields to either side of it. The constraint is of an unfamiliar type since it requires the Poisson Bracket of the defect contributions to energy and momentum with respect to the defect discontinuity and its conjugate to be balanced by the potential difference across the defect. It is shown that the only solutions to the constraint correspond to the known integrable field theories.

15.337121

13.784019

15.87602

13.869992

14.673005

15.521933

13.494081

14.773568

13.568781

19.479748

13.847698

14.008458

14.734403

13.944928

14.362082

14.505517

14.190271

13.90585

12.943758

15.194104

13.763137

hep-th/9907206

Yaron Oz

Mohsen Alishahiha and Yaron Oz

AdS/CFT and BPS Strings in Four Dimensions

10 pages, 3 figures, added references and comments

Phys.Lett.B465:136-141,1999

10.1016/S0370-2693(99)01034-5

CERN-TH/99-229

hep-th

null

We consider N=2 superconformal theories defined on a 3+1 dimensional hyperplane intersection of two sets of M5 branes. These theories have (tensionless) BPS string solitons. We use a dual supergravity formulation to deduce some of their properties via the AdS/CFT correspondence.

[ { "created": "Wed, 28 Jul 1999 13:34:20 GMT", "version": "v1" }, { "created": "Thu, 5 Aug 1999 15:38:50 GMT", "version": "v2" }, { "created": "Fri, 5 May 2000 09:40:44 GMT", "version": "v3" } ]

2009-09-29

[ [ "Alishahiha", "Mohsen", "" ], [ "Oz", "Yaron", "" ] ]

We consider N=2 superconformal theories defined on a 3+1 dimensional hyperplane intersection of two sets of M5 branes. These theories have (tensionless) BPS string solitons. We use a dual supergravity formulation to deduce some of their properties via the AdS/CFT correspondence.

9.872336

6.975955

9.674784

7.488695

8.876202

7.58274

8.888291

7.490697

7.688899

9.738084

7.88649

8.069945

8.947865

8.519038

8.019603

8.360762

8.202664

8.566746

8.358449

9.645276

8.392302

1305.1939

S\'ebastien Leurent

Nikolay Gromov, Vladimir Kazakov, Sebastien Leurent, Dmytro Volin

Quantum spectral curve for AdS_5/CFT_4

4 pages, 2 figures; some typos corrected in v2

Phys. Rev. Lett. 112, 011602 (2014)

10.1103/PhysRevLett.112.011602

Imperial/TP/13/SL/02

hep-th

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

We present a new formalism, alternative to the old TBA-like approach, for solution of the spectral problem of planar N = 4 SYM. It takes a concise form of a non-linear matrix Riemann-Hilbert problem in terms of a few Q-functions. We demonstrate the formalism for two types of observables - local operators at weak coupling and cusped Wilson lines in a near BPS limit.

[ { "created": "Wed, 8 May 2013 20:00:23 GMT", "version": "v1" }, { "created": "Wed, 29 May 2013 13:51:41 GMT", "version": "v2" } ]

2014-01-15

[ [ "Gromov", "Nikolay", "" ], [ "Kazakov", "Vladimir", "" ], [ "Leurent", "Sebastien", "" ], [ "Volin", "Dmytro", "" ] ]

We present a new formalism, alternative to the old TBA-like approach, for solution of the spectral problem of planar N = 4 SYM. It takes a concise form of a non-linear matrix Riemann-Hilbert problem in terms of a few Q-functions. We demonstrate the formalism for two types of observables - local operators at weak coupling and cusped Wilson lines in a near BPS limit.

10.139807

8.585117

10.702427

8.249155

9.511791

8.7044

9.049424

8.830572

8.684821

11.890686

9.028458

9.608558

9.11869

9.357718

9.417844

9.341083

9.450824

9.62031

9.295212

9.247261

9.954915

1906.10692

James Bonifacio

James Bonifacio, Kurt Hinterbichler, Laura A. Johnson, Austin Joyce

Shift-Symmetric Spin-1 Theories

25 + 9 pages

null

10.1007/JHEP09(2019)029

null

hep-th gr-qc

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

We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space. In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup. By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space. This symmetry acts on the vector modes, is parametrized by an antisymmetric tensor, and fixes the nonlinear structure of the scalar-vector sector of the decoupling limit.

[ { "created": "Tue, 25 Jun 2019 18:00:00 GMT", "version": "v1" } ]

2019-10-02

[ [ "Bonifacio", "James", "" ], [ "Hinterbichler", "Kurt", "" ], [ "Johnson", "Laura A.", "" ], [ "Joyce", "Austin", "" ] ]

We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space. In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup. By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space. This symmetry acts on the vector modes, is parametrized by an antisymmetric tensor, and fixes the nonlinear structure of the scalar-vector sector of the decoupling limit.

6.67267

7.193216

7.30102

6.277459

6.551291

6.383561

6.770288

6.401053

6.211521

6.999523

6.306479

6.40741

6.896906

6.332583

6.220043

6.476587

6.566265

6.31336

6.348397

7.057858

6.016721

hep-th/0612002

Ho-Ung Yee

Ho-Ung Yee (KIAS)

AdS/CFT with Tri-Sasakian Manifolds

32 pages, LaTeX, no figure, v2:references added

Nucl.Phys.B774:232-255,2007

10.1016/j.nuclphysb.2007.03.031

null

hep-th

null

We consider generic toric Tri-Sasakian 7-manifolds X_7 in the context of M-theory on AdS_4 X X_7 and study their AdS/CFT correspondence to N=3 SCFT in 3D spacetime. We obtain volumes of Tri-Sasakian manifolds and their supersymmetric 5-cycles via cohomological integration technique, and use this to calculate conformal dimensions of baryonic operators in the SCFT side. We also propose quiver-type gauge theories for UV description of the corresponding N=3 SCFT.

[ { "created": "Fri, 1 Dec 2006 02:50:15 GMT", "version": "v1" }, { "created": "Tue, 19 Dec 2006 08:17:24 GMT", "version": "v2" } ]

2008-11-26

[ [ "Yee", "Ho-Ung", "", "KIAS" ] ]

We consider generic toric Tri-Sasakian 7-manifolds X_7 in the context of M-theory on AdS_4 X X_7 and study their AdS/CFT correspondence to N=3 SCFT in 3D spacetime. We obtain volumes of Tri-Sasakian manifolds and their supersymmetric 5-cycles via cohomological integration technique, and use this to calculate conformal dimensions of baryonic operators in the SCFT side. We also propose quiver-type gauge theories for UV description of the corresponding N=3 SCFT.

9.551014

7.413427

9.132628

7.002137

7.559999

7.323672

7.51289

6.842745

7.359041

11.851523

6.932728

7.572807

8.558305

7.617021

7.553418

7.525695

7.406221

7.590084

7.345235

8.620336

7.418243

1909.09330

Don Marolf

Donald Marolf

CFT sewing as the dual of AdS cut-and-paste

20 pages, 3 figures

null

10.1007/JHEP02(2020)152

null

hep-th

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

The CPT map allows two states of a quantum field theory to be sewn together over CPT-conjugate partial Cauchy surfaces $R_1,R_2$ to make a state on a new spacetime. We study the holographic dual of this operation in the case where the original states are CPT-conjugate within $R_1,R_2$ to leading order in the bulk Newton constant $G$, and where the bulk duals are dominated by classical bulk geometries $g_1,g_2$. For states of fixed area on the $R_1,R_2$ HRT-surfaces, we argue that the bulk geometry $g_1 \# g_2$ dual to the newly sewn state is given by deleting the entanglement wedges of $R_1,R_2$ from $g_1,g_2$, gluing the remaining complementary entanglement wedges of ${\bar R}_1, {\bar R}_2$ together across the HRT surface, and solving the equations of motion to the past and future. The argument uses the bulk path integral and assumes it to be dominated by a certain natural saddle. For states where the HRT area is not fixed, the same bulk cut-and-paste is dual to a modified sewing that produces a generalization of the canonical purification state $\sqrt{\rho}$ discussed recently by Dutta and Faulkner. Either form of the construction can be used to build CFT states dual to bulk geometries associated with multipartite reflected entropy.

[ { "created": "Fri, 20 Sep 2019 05:43:43 GMT", "version": "v1" } ]

2020-03-18

[ [ "Marolf", "Donald", "" ] ]

The CPT map allows two states of a quantum field theory to be sewn together over CPT-conjugate partial Cauchy surfaces $R_1,R_2$ to make a state on a new spacetime. We study the holographic dual of this operation in the case where the original states are CPT-conjugate within $R_1,R_2$ to leading order in the bulk Newton constant $G$, and where the bulk duals are dominated by classical bulk geometries $g_1,g_2$. For states of fixed area on the $R_1,R_2$ HRT-surfaces, we argue that the bulk geometry $g_1 \# g_2$ dual to the newly sewn state is given by deleting the entanglement wedges of $R_1,R_2$ from $g_1,g_2$, gluing the remaining complementary entanglement wedges of ${\bar R}_1, {\bar R}_2$ together across the HRT surface, and solving the equations of motion to the past and future. The argument uses the bulk path integral and assumes it to be dominated by a certain natural saddle. For states where the HRT area is not fixed, the same bulk cut-and-paste is dual to a modified sewing that produces a generalization of the canonical purification state $\sqrt{\rho}$ discussed recently by Dutta and Faulkner. Either form of the construction can be used to build CFT states dual to bulk geometries associated with multipartite reflected entropy.

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0804.1475

Holger Weyer

Martin Reuter, Holger Weyer

Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance

null

Phys.Rev.D80:025001,2009

10.1103/PhysRevD.80.025001

MZ-TH/08-12

hep-th gr-qc

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

We explore the nonperturbative renormalization group flow of Quantum Einstein Gravity (QEG) on an infinite dimensional theory space. We consider "conformally reduced" gravity where only fluctuations of the conformal factor are quantized and employ the Local Potential Approximation for its effective average action. The requirement of "background independence" in quantum gravity entails a partial differential equation governing the scale dependence of the potential for the conformal factor which differs significantly from that of a scalar matter field. In the infinite dimensional space of potential functions we find a Gaussian as well as a non-Gaussian fixed point which provides further evidence for the viability of the asymptotic safety scenario. The analog of the invariant cubic in the curvature which spoils perturbative renormalizability is seen to be unproblematic for the asymptotic safety of the conformally reduced theory. The scaling fields and dimensions of both fixed points are obtained explicitly and possible implications for the predictivity of the theory are discussed. Spacetime manifolds with $R^d$ as well as $S^d$ topology are considered. Solving the flow equation for the potential numerically we obtain examples of renormalization group trajectories inside the ultraviolet critical surface of the non-Gaussian fixed point. The quantum theories based upon some of them show a phase transition from the familiar (low energy) phase of gravity with spontaneously broken diffeomorphism invariance to a new phase of unbroken diffeomorphism invariance; the latter phase is characterized by a vanishing expectation value of the metric.

[ { "created": "Tue, 8 Apr 2008 15:09:57 GMT", "version": "v1" }, { "created": "Fri, 15 May 2009 12:48:35 GMT", "version": "v2" } ]

2009-09-02

[ [ "Reuter", "Martin", "" ], [ "Weyer", "Holger", "" ] ]

We explore the nonperturbative renormalization group flow of Quantum Einstein Gravity (QEG) on an infinite dimensional theory space. We consider "conformally reduced" gravity where only fluctuations of the conformal factor are quantized and employ the Local Potential Approximation for its effective average action. The requirement of "background independence" in quantum gravity entails a partial differential equation governing the scale dependence of the potential for the conformal factor which differs significantly from that of a scalar matter field. In the infinite dimensional space of potential functions we find a Gaussian as well as a non-Gaussian fixed point which provides further evidence for the viability of the asymptotic safety scenario. The analog of the invariant cubic in the curvature which spoils perturbative renormalizability is seen to be unproblematic for the asymptotic safety of the conformally reduced theory. The scaling fields and dimensions of both fixed points are obtained explicitly and possible implications for the predictivity of the theory are discussed. Spacetime manifolds with $R^d$ as well as $S^d$ topology are considered. Solving the flow equation for the potential numerically we obtain examples of renormalization group trajectories inside the ultraviolet critical surface of the non-Gaussian fixed point. The quantum theories based upon some of them show a phase transition from the familiar (low energy) phase of gravity with spontaneously broken diffeomorphism invariance to a new phase of unbroken diffeomorphism invariance; the latter phase is characterized by a vanishing expectation value of the metric.

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