LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9703059

Elias Kiritsis

E. Kiritsis, C. Kounnas (CERN)

Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1

36 pages, Latex. An important part is added. We point out that there are string theory groundstates with spontaneously broken extended supersymmetry and chiral spectrum

Nucl.Phys. B503 (1997) 117-156

10.1016/S0550-3213(97)00430-6

CERN-TH/97-39, LPTENS/97/10

hep-th

null

We show the existence of a supersymmetry breaking mechanism in string theory, where N=4 supersymmetry is broken spontaneously to N=2 and N=1 with moduli dependent gravitino masses. The spectrum of the spontaneously broken theory with lower supersymmetry is in one-to-one correspondence with the spectrum of the heterotic N=4 string. The mass splitting of the N=4 spectrum depends on the compactification moduli as well as the three R-symmetry charges. We also show that, in string theory, chiral theories can be obtained after spontaneous breaking of extended supersymmetry. This was impossible at the level of field theory. In the large moduli limit a restoration of the N=4 supersymmetry is obtained. As expected the graviphotons and some of the gauge bosons become massive in N=1 vacua. At some special points of the moduli space some of the N=4 states with non-zero winding numbers and with spin 0 and {1/2} become massless chiral superfields of the unbroken N=1 supersymmetry. Such vaccua have a dual type II description, in which there are magnetically charged states with spin 0 and {1/2} that become massless. The heterotic-type II duality suggests some novel non-perturbative transitions on the type II side. Such transitions do not seem to have a geometric interpretation, since they relate type II vaccua with symmetric worlsheet structure to assymetric ones. The heteroric interpretation of such a transition is an ordinary Higgsing of an SU(2) factor. In the case of N=4 --> N=2, the perturbative N=2 prepotential is determined by the perturbative N=4 BPS states. This observation let us to suggest a method which determines the exact non-perturbative prepotential of the effective N=2 supergravity using the shifted spectrum of the non-perturbative BPS states of the underlying N=4 theory.

[ { "created": "Fri, 7 Mar 1997 10:45:40 GMT", "version": "v1" }, { "created": "Mon, 24 Mar 1997 02:29:06 GMT", "version": "v2" }, { "created": "Fri, 4 Apr 1997 13:48:05 GMT", "version": "v3" } ]

2009-10-30

[ [ "Kiritsis", "E.", "", "CERN" ], [ "Kounnas", "C.", "", "CERN" ] ]

We show the existence of a supersymmetry breaking mechanism in string theory, where N=4 supersymmetry is broken spontaneously to N=2 and N=1 with moduli dependent gravitino masses. The spectrum of the spontaneously broken theory with lower supersymmetry is in one-to-one correspondence with the spectrum of the heterotic N=4 string. The mass splitting of the N=4 spectrum depends on the compactification moduli as well as the three R-symmetry charges. We also show that, in string theory, chiral theories can be obtained after spontaneous breaking of extended supersymmetry. This was impossible at the level of field theory. In the large moduli limit a restoration of the N=4 supersymmetry is obtained. As expected the graviphotons and some of the gauge bosons become massive in N=1 vacua. At some special points of the moduli space some of the N=4 states with non-zero winding numbers and with spin 0 and {1/2} become massless chiral superfields of the unbroken N=1 supersymmetry. Such vaccua have a dual type II description, in which there are magnetically charged states with spin 0 and {1/2} that become massless. The heterotic-type II duality suggests some novel non-perturbative transitions on the type II side. Such transitions do not seem to have a geometric interpretation, since they relate type II vaccua with symmetric worlsheet structure to assymetric ones. The heteroric interpretation of such a transition is an ordinary Higgsing of an SU(2) factor. In the case of N=4 --> N=2, the perturbative N=2 prepotential is determined by the perturbative N=4 BPS states. This observation let us to suggest a method which determines the exact non-perturbative prepotential of the effective N=2 supergravity using the shifted spectrum of the non-perturbative BPS states of the underlying N=4 theory.

7.80551

8.076605

8.667288

7.789648

8.231271

8.669349

7.892753

8.084132

7.877044

8.584503

7.806206

7.875785

8.090852

7.786545

7.953606

7.848241

7.815545

7.914183

7.654607

8.072066

7.747997

2008.04950

Luigi Tizzano

Christian Copetti, Alba Grassi, Zohar Komargodski, Luigi Tizzano

Delayed Deconfinement and the Hawking-Page Transition

47 pages, 9 figures; v2: minor edits, added references

null

10.1007/JHEP04(2022)132

null

hep-th math-ph math.MP

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

We revisit the confinement/deconfinement transition in $\mathcal{N}=4$ super Yang-Mills (SYM) theory and its relation to the Hawking-Page transition in gravity. Recently there has been substantial progress on counting the microstates of 1/16-BPS extremal black holes. However, there is presently a mismatch between the Hawking-Page transition and its avatar in $\mathcal{N}=4$ SYM. This led to speculations about the existence of new gravitational saddles that would resolve the mismatch. Here we exhibit a phenomenon in complex matrix models which we call "delayed deconfinement". It turns out that when the action is complex, due to destructive interference, tachyonic modes do not necessarily condense. We demonstrate this phenomenon in ordinary integrals, a simple unitary matrix model, and finally in the context of $\mathcal{N}=4$ SYM. Delayed deconfinement implies a first-order transition, in contrast to the more familiar cases of higher-order transitions in unitary matrix models. We determine the deconfinement line and find remarkable agreement with the prediction of gravity. On the way, we derive some results about the Gross-Witten-Wadia model with complex couplings. Our techniques apply to a wide variety of (SUSY and non-SUSY) gauge theories though in this paper we only discuss the case of $\mathcal{N}=4$ SYM.

[ { "created": "Tue, 11 Aug 2020 18:33:37 GMT", "version": "v1" }, { "created": "Fri, 1 Jul 2022 08:24:54 GMT", "version": "v2" } ]

2022-07-05

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

We revisit the confinement/deconfinement transition in $\mathcal{N}=4$ super Yang-Mills (SYM) theory and its relation to the Hawking-Page transition in gravity. Recently there has been substantial progress on counting the microstates of 1/16-BPS extremal black holes. However, there is presently a mismatch between the Hawking-Page transition and its avatar in $\mathcal{N}=4$ SYM. This led to speculations about the existence of new gravitational saddles that would resolve the mismatch. Here we exhibit a phenomenon in complex matrix models which we call "delayed deconfinement". It turns out that when the action is complex, due to destructive interference, tachyonic modes do not necessarily condense. We demonstrate this phenomenon in ordinary integrals, a simple unitary matrix model, and finally in the context of $\mathcal{N}=4$ SYM. Delayed deconfinement implies a first-order transition, in contrast to the more familiar cases of higher-order transitions in unitary matrix models. We determine the deconfinement line and find remarkable agreement with the prediction of gravity. On the way, we derive some results about the Gross-Witten-Wadia model with complex couplings. Our techniques apply to a wide variety of (SUSY and non-SUSY) gauge theories though in this paper we only discuss the case of $\mathcal{N}=4$ SYM.

6.773437

6.604864

7.203123

6.416273

6.544136

6.998531

6.549303

6.565255

6.390375

7.065273

6.33437

6.372081

6.494949

6.345865

6.349975

6.338728

6.367509

6.369665

6.407912

6.516576

6.438343

1509.08501

Robert Shrock

Yan-Liang Shi and Robert Shrock

Renormalization-Group Evolution and Nonperturbative Behavior of Chiral Gauge Theories with Fermions in Higher-Dimensional Representations

20 pages latex

Phys. Rev. D92, 125009 (2015)

10.1103/PhysRevD.92.125009

YITP-SB-2015-12

hep-th hep-ph

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

We study the ultraviolet to infrared evolution and nonperturbative behavior of a simple set of asymptotically free chiral gauge theories with an SU($N$) gauge group and an anomaly-free set of $n_{S_k}$ copies of chiral fermions transforming as the symmetric rank-$k$ tensor representation, $S_k$, and $n_{\bar A_\ell}$ copies of fermions transforming according to the conjugate antisymmetric rank-$\ell$ tensor representation, $\bar A_\ell$, of this group with $k, \ \ell \ge 2$. As part of our study, we prove a general theorem guaranteeing that a low-energy effective theory resulting from the dynamical breaking of an anomaly-free chiral gauge theory is also anomaly-free. We analyze the theories with $k=\ell=2$ in detail and show that there are only a finite number of these. Depending on the specific theory, the ultraviolet to infrared evolution may lead to a non-Abelian Coulomb phase, or may involve confinement with massless composite fermions, or fermion condensation with dynamical gauge and global symmetry breaking. We show that $S_k \bar A_k$ chiral gauge theories with $k \ge 3$ are not asymptotically free. We also analyze theories with fermions in $S_k$ and $\bar A_\ell$ representations of SU($N$) with $k \ne \ell$ and $k, \ \ell \ge 2$.

[ { "created": "Mon, 28 Sep 2015 20:48:32 GMT", "version": "v1" } ]

2015-12-11

[ [ "Shi", "Yan-Liang", "" ], [ "Shrock", "Robert", "" ] ]

We study the ultraviolet to infrared evolution and nonperturbative behavior of a simple set of asymptotically free chiral gauge theories with an SU($N$) gauge group and an anomaly-free set of $n_{S_k}$ copies of chiral fermions transforming as the symmetric rank-$k$ tensor representation, $S_k$, and $n_{\bar A_\ell}$ copies of fermions transforming according to the conjugate antisymmetric rank-$\ell$ tensor representation, $\bar A_\ell$, of this group with $k, \ \ell \ge 2$. As part of our study, we prove a general theorem guaranteeing that a low-energy effective theory resulting from the dynamical breaking of an anomaly-free chiral gauge theory is also anomaly-free. We analyze the theories with $k=\ell=2$ in detail and show that there are only a finite number of these. Depending on the specific theory, the ultraviolet to infrared evolution may lead to a non-Abelian Coulomb phase, or may involve confinement with massless composite fermions, or fermion condensation with dynamical gauge and global symmetry breaking. We show that $S_k \bar A_k$ chiral gauge theories with $k \ge 3$ are not asymptotically free. We also analyze theories with fermions in $S_k$ and $\bar A_\ell$ representations of SU($N$) with $k \ne \ell$ and $k, \ \ell \ge 2$.

4.468935

4.335315

4.515204

4.245224

4.487166

4.467995

4.360187

4.349866

4.392599

4.768121

4.245897

4.374475

4.430964

4.253141

4.276859

4.358474

4.317757

4.34402

4.293328

4.483199

4.340646

hep-th/9709093

Zurab Kakushadze

Gia Dvali and Zurab Kakushadze

A Remark on Dilaton Stabilization

5 pages, Revtex 3.0

Phys.Lett. B417 (1998) 50-52

10.1016/S0370-2693(97)01355-5

CERN-TH/97-170, HUTP-97/A036, NUB 3164

hep-th hep-ph

null

Dilaton stabilization may occur in a theory based on a single asymptotically free gauge group with matter due to an interplay between quantum modification of the moduli space and tree-level superpotential. We present a toy model where such a mechanism is realized. Dilaton stabilization in this mechanism tends to occur at strong coupling values unless some unnatural adjustment of parameters is involved.

[ { "created": "Sun, 14 Sep 1997 03:19:45 GMT", "version": "v1" } ]

2009-10-30

[ [ "Dvali", "Gia", "" ], [ "Kakushadze", "Zurab", "" ] ]

Dilaton stabilization may occur in a theory based on a single asymptotically free gauge group with matter due to an interplay between quantum modification of the moduli space and tree-level superpotential. We present a toy model where such a mechanism is realized. Dilaton stabilization in this mechanism tends to occur at strong coupling values unless some unnatural adjustment of parameters is involved.

14.831037

12.845789

13.387325

11.980636

12.535769

14.436238

13.837596

12.132708

12.298888

14.323872

12.214055

12.803565

12.268857

12.406413

12.75367

12.718158

12.700969

12.778548

12.686159

12.939231

13.114548

1708.08922

Sven Krippendorf

Stefan Antusch, Francesco Cefala, Sven Krippendorf, Francesco Muia, Stefano Orani, Fernando Quevedo

Oscillons from String Moduli

32 pages + appendix, 23 figures, for videos of the simulations see https://particlesandcosmology.unibas.ch/downloads/oscillons-from-string-moduli-movies.html

null

10.1007/JHEP01(2018)083

null

hep-th astro-ph.CO hep-ph

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

A generic feature of string compactifications is the presence of many scalar fields, called moduli. Moduli are usually displaced from their post-inflationary minimum during inflation. Their relaxation to the minimum could lead to the production of oscillons: localised, long-lived, non-linear excitations of the scalar fields. Here we discuss under which conditions oscillons can be produced in string cosmology and illustrate their production and potential phenomenology with two explicit examples: the case of an initially displaced volume modulus in the KKLT scenario and the case of a displaced blow-up Kaehler modulus in the Large Volume Scenario (LVS). One, in principle, observable consequence of oscillon dynamics is the production of gravitational waves which, contrary to those produced from preheating after high scale inflation, could have lower frequencies, closer to the currently observable range. We also show that, for the considered parameter ranges, oscillating fibre and volume moduli do not develop any significant non-perturbative dynamics. Furthermore, we find that the vacua in the LVS and the KKLT scenario are stable against local overshootings of the field into the decompatification region, which provides an additional check on the longevity of these metastable configurations.

[ { "created": "Tue, 29 Aug 2017 18:00:00 GMT", "version": "v1" } ]

2018-02-14

[ [ "Antusch", "Stefan", "" ], [ "Cefala", "Francesco", "" ], [ "Krippendorf", "Sven", "" ], [ "Muia", "Francesco", "" ], [ "Orani", "Stefano", "" ], [ "Quevedo", "Fernando", "" ] ]

A generic feature of string compactifications is the presence of many scalar fields, called moduli. Moduli are usually displaced from their post-inflationary minimum during inflation. Their relaxation to the minimum could lead to the production of oscillons: localised, long-lived, non-linear excitations of the scalar fields. Here we discuss under which conditions oscillons can be produced in string cosmology and illustrate their production and potential phenomenology with two explicit examples: the case of an initially displaced volume modulus in the KKLT scenario and the case of a displaced blow-up Kaehler modulus in the Large Volume Scenario (LVS). One, in principle, observable consequence of oscillon dynamics is the production of gravitational waves which, contrary to those produced from preheating after high scale inflation, could have lower frequencies, closer to the currently observable range. We also show that, for the considered parameter ranges, oscillating fibre and volume moduli do not develop any significant non-perturbative dynamics. Furthermore, we find that the vacua in the LVS and the KKLT scenario are stable against local overshootings of the field into the decompatification region, which provides an additional check on the longevity of these metastable configurations.

9.492191

9.614705

9.248861

8.834727

8.789044

9.523112

9.476398

9.980274

8.428764

9.77655

8.87398

8.689173

8.546638

8.619265

8.720835

9.089104

8.807133

9.058244

8.537486

8.73958

8.791723

hep-th/9707095

Naoki Sasakura

Jan Ambjorn (Niels Bohr Inst.), Domenec Espriu (Univ. of Barcelona) and Naoki Sasakura (Niels Bohr Inst.)

U(1) lattice gauge theory and N=2 supersymmetric Yang-Mills theory

19 pages, LaTex

Mod.Phys.Lett. A12 (1997) 2665-2682

10.1142/S0217732397002806

NBI-HE-97-22, UB-ECM-PF 97/13

hep-th hep-lat hep-ph

null

We discuss the physics of four-dimensional compact U(1) lattice gauge theory from the point of view of softly broken N=2 supersymmetric SU(2) Yang-Mills theory. We provide arguments in favor of (pseudo-)critical mass exponents 1/3, 5/11 and 1/2, in agreement with the values observed in the computer simulations. We also show that the J^{CP} assignment of some of the lowest lying states can be naturally explained.

[ { "created": "Thu, 10 Jul 1997 12:48:49 GMT", "version": "v1" } ]

2009-10-30

[ [ "Ambjorn", "Jan", "", "Niels Bohr Inst." ], [ "Espriu", "Domenec", "", "Univ. of Barcelona" ], [ "Sasakura", "Naoki", "", "Niels Bohr Inst." ] ]

We discuss the physics of four-dimensional compact U(1) lattice gauge theory from the point of view of softly broken N=2 supersymmetric SU(2) Yang-Mills theory. We provide arguments in favor of (pseudo-)critical mass exponents 1/3, 5/11 and 1/2, in agreement with the values observed in the computer simulations. We also show that the J^{CP} assignment of some of the lowest lying states can be naturally explained.

10.838352

11.691121

11.605451

9.89626

11.114588

11.070564

11.760375

10.144445

10.239016

11.204028

9.893814

9.396514

10.295403

10.504085

10.254827

10.101034

9.776513

9.537759

9.928823

10.796558

9.418756

hep-th/9305084

null

Vahid Karimipour

Representations of the quantum matrix algebra $M_{q,p}(2)$

20 pages

null

10.1088/0305-4470/26/22/027

93-011

hep-th math.QA

null

It is shown that the finite dimensional irreducible representaions of the quantum matrix algebra $ M_{ q,p}(2) $ ( the coordinate ring of $ GL_{q,p}(2) $) exist only when both q and p are roots of unity. In this case th e space of states has either the topology of a torus or a cylinder which may be thought of as generalizations of cyclic representations.

[ { "created": "Wed, 19 May 1993 14:45:26 GMT", "version": "v1" }, { "created": "Sat, 12 Jun 1993 18:00:17 GMT", "version": "v2" } ]

2009-10-22

[ [ "Karimipour", "Vahid", "" ] ]

It is shown that the finite dimensional irreducible representaions of the quantum matrix algebra $ M_{ q,p}(2) $ ( the coordinate ring of $ GL_{q,p}(2) $) exist only when both q and p are roots of unity. In this case th e space of states has either the topology of a torus or a cylinder which may be thought of as generalizations of cyclic representations.

11.613919

8.94656

13.63142

9.746041

9.598261

9.996034

9.086702

10.03281

8.775922

13.968778

8.992521

10.170173

12.075459

10.653486

9.91565

9.849648

9.794867

10.532885

10.226795

12.542385

9.708527

1412.1973

Balachandran Sathiapalan

B. Sathiapalan

Background Independence, Gauge Invariance and Equations of Motion for Closed String Modes

18 pages, Typo in reference corrected

null

10.1142/S0217751X15501055

IMSC/2014/12/13

hep-th

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

In an earlier paper [arXiv:1408.0484] gauge invariant and background covariant equations for closed string modes were obtained from the exact renormalization group equation of the world sheet theory. The background metric (but not the physical metric) had to be flat and hence the method was not manifestly background independent. In this paper the restrictions on the background metric are relaxed. A simple prescription for the map from loop variables to space time fields is given whereby for arbitrary backgrounds the equations are generally covariant and gauge invariant. Extra terms involving couplings of the curvature tensor to (derivatives of) the Stueckelberg fields have to be added. The background metric is chosen to be the physical metric without any restrictions. This method thus gives manifestly background independent gauge invariant and general covariant equations of motion for both open and closed string modes.

[ { "created": "Fri, 5 Dec 2014 12:07:51 GMT", "version": "v1" }, { "created": "Mon, 8 Dec 2014 08:54:26 GMT", "version": "v2" } ]

2015-08-06

[ [ "Sathiapalan", "B.", "" ] ]

In an earlier paper [arXiv:1408.0484] gauge invariant and background covariant equations for closed string modes were obtained from the exact renormalization group equation of the world sheet theory. The background metric (but not the physical metric) had to be flat and hence the method was not manifestly background independent. In this paper the restrictions on the background metric are relaxed. A simple prescription for the map from loop variables to space time fields is given whereby for arbitrary backgrounds the equations are generally covariant and gauge invariant. Extra terms involving couplings of the curvature tensor to (derivatives of) the Stueckelberg fields have to be added. The background metric is chosen to be the physical metric without any restrictions. This method thus gives manifestly background independent gauge invariant and general covariant equations of motion for both open and closed string modes.

9.635726

8.584616

9.085848

8.794675

8.91497

8.549474

8.87959

8.692183

9.061049

9.952784

8.68025

8.884086

8.860353

8.775813

8.88546

8.862062

8.525535

8.600002

8.952855

9.012263

8.832042

hep-th/0411273

Nattapong Yongram

E. B. Manoukian and N. Yongram

Field Theory Methods in Classical Dynamics

LaTeX, 14 pages, no figure, misprints corrected

Int.J.Theor.Phys.41:1327-1337,2002

10.1023/A:1019607117138

null

hep-th

null

A Dirac picture perturbation theory is developed for the time evolution operator in classical dynamics in the spirit of the Schwinger-Feynman-Dyson perturbation expansion and detailed rules are derived for computations. Complexification formalisms are given for the time evolution operator suitable for phase space analyses, and then extended to a two-dimensional setting for a study of the geometrical Berry phase as an example. Finally a direct integration of Hamilton's equations is shown to lead naturally to a path integral expression, as a resolution of the identity, as applied to arbitrary functions of generalized coordinates and momenta.

[ { "created": "Tue, 30 Nov 2004 10:50:44 GMT", "version": "v1" }, { "created": "Tue, 14 Dec 2004 10:42:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Manoukian", "E. B.", "" ], [ "Yongram", "N.", "" ] ]

A Dirac picture perturbation theory is developed for the time evolution operator in classical dynamics in the spirit of the Schwinger-Feynman-Dyson perturbation expansion and detailed rules are derived for computations. Complexification formalisms are given for the time evolution operator suitable for phase space analyses, and then extended to a two-dimensional setting for a study of the geometrical Berry phase as an example. Finally a direct integration of Hamilton's equations is shown to lead naturally to a path integral expression, as a resolution of the identity, as applied to arbitrary functions of generalized coordinates and momenta.

16.525808

16.295645

19.114334

16.638216

17.476389

16.613794

16.811228

16.196745

16.483534

18.876068

16.157263

16.038851

17.261541

16.010368

15.659689

15.988175

15.715286

15.993036

16.425493

16.570517

15.793486

0911.4797

Kazunobu Maruyoshi

Tohru Eguchi, Kazunobu Maruyoshi

Penner Type Matrix Model and Seiberg-Witten Theory

22 pages; v2: references added, typos corrected; v3: a version to appear in JHEP

null

10.1007/JHEP02(2010)022

YITP-09-94

hep-th

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

We discuss the Penner type matrix model recently proposed by Dijkgraaf and Vafa for a possible explanation of the relation between four-dimensional gauge theory and Liouville theory by making use of the connection of the matrix model to two-dimensional CFT. We first consider the relation of gauge couplings defined in UV and IR regimes of N_f = 4, N = 2 supersymmetric gauge theory being related as $q_{{\rm UV}}={\vartheta_2(q_{{\rm IR}})^4/\vartheta_3(q_{{\rm IR}})^4}$. We then use this relation to discuss the action of modular transformation on the matrix model and determine its spectral curve. We also discuss the decoupling of massive flavors from the N_f = 4 matrix model and derive matrix models describing asymptotically free N = 2 gauge theories. We find that the Penner type matrix theory reproduces correctly the standard results of N = 2 supersymmetric gauge theories.

[ { "created": "Wed, 25 Nov 2009 14:58:47 GMT", "version": "v1" }, { "created": "Mon, 7 Dec 2009 09:02:13 GMT", "version": "v2" }, { "created": "Mon, 18 Jan 2010 15:15:15 GMT", "version": "v3" } ]

2015-05-14

[ [ "Eguchi", "Tohru", "" ], [ "Maruyoshi", "Kazunobu", "" ] ]

We discuss the Penner type matrix model recently proposed by Dijkgraaf and Vafa for a possible explanation of the relation between four-dimensional gauge theory and Liouville theory by making use of the connection of the matrix model to two-dimensional CFT. We first consider the relation of gauge couplings defined in UV and IR regimes of N_f = 4, N = 2 supersymmetric gauge theory being related as $q_{{\rm UV}}={\vartheta_2(q_{{\rm IR}})^4/\vartheta_3(q_{{\rm IR}})^4}$. We then use this relation to discuss the action of modular transformation on the matrix model and determine its spectral curve. We also discuss the decoupling of massive flavors from the N_f = 4 matrix model and derive matrix models describing asymptotically free N = 2 gauge theories. We find that the Penner type matrix theory reproduces correctly the standard results of N = 2 supersymmetric gauge theories.

7.302276

7.298865

7.895589

6.823479

6.978643

6.995156

7.453672

7.094917

6.968139

8.613112

6.864408

6.553112

7.441301

7.001982

6.929809

6.868862

6.738863

6.960968

6.745884

7.19543

7.075324

0807.0685

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Dark energy, inflation and dark matter from modified F(R) gravity

20 pages, Problems of Modern Theoretical Physics, A Volume in honour of Prof.I.L. Buchbinder in the occasion of his 60th birthday,p.266-285, TSPU Publishing, Tomsk

null

hep-th astro-ph gr-qc

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

We review modified $F(R)$ gravity as realistic candidate to describe the observable universe expansion history. We show that recent cosmic acceleration, radiation/matter-dominated epoch and inflation could be realized in the framework of $F(R)$-gravity in the unified way. For some viable classes of $F(R)$-gravity, the Newton law is respected and there is no so-called matter instability (the very heavy positive mass for additional scalar degree of freedom is generated). The reconstruction program in modified gravity is also reviewed and it is demonstrated that {\it any} time-evolution of the universe expansion could be realized in $F(R)$-gravity. These models remain to be realistic also in the presence of non-minimal gravitational coupling with usual matter. It is shown that same model which passes local tests and predicts the unification of inflation with cosmic acceleration also describes dark matter thanks to presence of additional scalar degree of freedom and chameleon mechanism.

[ { "created": "Sat, 5 Jul 2008 12:41:14 GMT", "version": "v1" } ]

2008-07-08

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

We review modified $F(R)$ gravity as realistic candidate to describe the observable universe expansion history. We show that recent cosmic acceleration, radiation/matter-dominated epoch and inflation could be realized in the framework of $F(R)$-gravity in the unified way. For some viable classes of $F(R)$-gravity, the Newton law is respected and there is no so-called matter instability (the very heavy positive mass for additional scalar degree of freedom is generated). The reconstruction program in modified gravity is also reviewed and it is demonstrated that {\it any} time-evolution of the universe expansion could be realized in $F(R)$-gravity. These models remain to be realistic also in the presence of non-minimal gravitational coupling with usual matter. It is shown that same model which passes local tests and predicts the unification of inflation with cosmic acceleration also describes dark matter thanks to presence of additional scalar degree of freedom and chameleon mechanism.

11.967517

11.692852

12.06337

11.186844

11.267385

11.533937

11.37233

11.923595

10.778638

12.928102

11.036987

11.223529

11.901292

11.757411

11.511113

11.770026

11.405388

11.731365

11.330108

11.855704

11.294363

2207.04041

Nahuel Mir\'on-Granese

Eric Lescano and Nahuel Mir\'on-Granese

Double Field Theory with matter and the generalized Bergshoeff-de Roo identification

8 pages. Discussions improved, updated reference section. Prepared for submission to journal

null

10.1103/PhysRevD.107.086008

null

hep-th

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

The scalar field-perfect fluid (sf-pf) correspondence shows that the energy-momentum tensor of a scalar field is in correspondence with the dynamics of a perfect fluid. In this work we generalize this concept to study the higher-derivative structure of Double Field Theory with statistical matter. Using the generalized Bergshoeff-de Roo identification we find nontrivial higher-derivative corrections for the generalized scalar field Lagrangian. However, these contributions are removed to any desired order using field redefinitions at the supergravity level. By virtue of the generalized sf-pf correspondence we obtain the higher-derivative dynamics for the perfect fluid in the double geometry, which is also trivialized at the supergravity level. These results imply that the well-known $\alpha'$-corrections obtained by this procedure only correct the effective vacuum Lagrangian, while the sf-pf Lagrangian coupled to the supergravity background remains uncorrected to all orders. Our findings apply for a general (Bosonic-Heterotic-Type II-HSZ) supergravity background.

[ { "created": "Fri, 8 Jul 2022 17:55:25 GMT", "version": "v1" }, { "created": "Sat, 11 Feb 2023 16:43:29 GMT", "version": "v2" } ]

2023-05-03

[ [ "Lescano", "Eric", "" ], [ "Mirón-Granese", "Nahuel", "" ] ]

The scalar field-perfect fluid (sf-pf) correspondence shows that the energy-momentum tensor of a scalar field is in correspondence with the dynamics of a perfect fluid. In this work we generalize this concept to study the higher-derivative structure of Double Field Theory with statistical matter. Using the generalized Bergshoeff-de Roo identification we find nontrivial higher-derivative corrections for the generalized scalar field Lagrangian. However, these contributions are removed to any desired order using field redefinitions at the supergravity level. By virtue of the generalized sf-pf correspondence we obtain the higher-derivative dynamics for the perfect fluid in the double geometry, which is also trivialized at the supergravity level. These results imply that the well-known $\alpha'$-corrections obtained by this procedure only correct the effective vacuum Lagrangian, while the sf-pf Lagrangian coupled to the supergravity background remains uncorrected to all orders. Our findings apply for a general (Bosonic-Heterotic-Type II-HSZ) supergravity background.

12.151877

11.604992

13.938248

11.391916

12.771066

12.016009

12.602069

12.385911

11.513457

14.381812

11.59625

11.792837

12.474486

11.628731

11.957982

12.233809

11.744624

11.847162

11.871925

12.15475

11.586218

0805.3700

Gonzalo Torroba MsC

Michael R. Douglas, Gonzalo Torroba

Kinetic terms in warped compactifications

24 pages; reference added, typos corrected

JHEP 0905:013,2009

10.1088/1126-6708/2009/05/013

RUNHETC-2008-09

hep-th

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

We develop formalism for computing the kinetic terms of 4d fields in string compactifications, particularly with warping. With the help of the Hamiltonian approach, we identify a gauge dependent inner product on the compactification manifold which depends on the warp factor. It is shown that kinetic terms are associated to the minimum value of the inner product over each gauge orbit. We work out the kinetic term for the complex modulus of a deformed conifold with flux, i.e. the Klebanov-Strassler solution embedded in a compact Calabi-Yau manifold. Earlier results of a power-like divergence are confirmed qualitatively (the kinetic term does contain the main effect of warping) but not quantitatively (the correct results differ by an order one coefficient).

[ { "created": "Fri, 23 May 2008 20:02:07 GMT", "version": "v1" }, { "created": "Thu, 22 Jan 2009 20:14:50 GMT", "version": "v2" } ]

2010-01-15

[ [ "Douglas", "Michael R.", "" ], [ "Torroba", "Gonzalo", "" ] ]

We develop formalism for computing the kinetic terms of 4d fields in string compactifications, particularly with warping. With the help of the Hamiltonian approach, we identify a gauge dependent inner product on the compactification manifold which depends on the warp factor. It is shown that kinetic terms are associated to the minimum value of the inner product over each gauge orbit. We work out the kinetic term for the complex modulus of a deformed conifold with flux, i.e. the Klebanov-Strassler solution embedded in a compact Calabi-Yau manifold. Earlier results of a power-like divergence are confirmed qualitatively (the kinetic term does contain the main effect of warping) but not quantitatively (the correct results differ by an order one coefficient).

12.721701

12.027563

12.107417

11.867997

12.555939

12.682767

12.415995

12.4182

12.401892

14.460629

11.52704

11.657348

11.848611

11.415165

11.682617

11.777333

12.066085

11.901667

11.763543

11.962137

11.643529

1808.09965

Bartholomew Horn

Jacques Distler, Raphael Flauger, Bart Horn

Double-soft graviton amplitudes and the extended BMS charge algebra

74 pages, no figures

null

10.1007/JHEP08(2019)021

UTTG-16-18

hep-th gr-qc

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

We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is found to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.

[ { "created": "Wed, 29 Aug 2018 18:00:00 GMT", "version": "v1" } ]

2019-09-04

[ [ "Distler", "Jacques", "" ], [ "Flauger", "Raphael", "" ], [ "Horn", "Bart", "" ] ]

We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is found to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.

9.499964

9.647137

9.742273

8.988027

9.863144

9.646842

9.117754

9.202888

9.336176

10.044469

8.353209

8.938406

9.19627

8.589878

8.877975

8.797279

9.05019

9.491964

9.018834

9.165064

8.542008

2007.15679

Alfredo Guevara

Alfredo Guevara and Yong Zhang

Planar Matrices and Arrays of Feynman Diagrams: Poles for Higher $k$

comment: v2: 21 pages, 2 figures, 2 tables, references added, missing ancillary files in the Dropbox link are recovered. Planar arrays of Feynman diagrams for (k,n)=(4,9) are reconstructed just from their poles while those for (3,10) are predicted for the first time

null

10.1088/1572-9494/ad1095

null

hep-th math.CO

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

Planar arrays of tree diagrams were introduced as a generalization of Feynman diagrams that enables the computation biadjoint amplitudes $m^{(k)}_n$ for $k>2$ . In this follow-up work we investigate the poles of $m^{(k)}_n$ from the perspective of such arrays. For general $k$ we characterize the underlying polytope as a Flag Complex and propose a computation of the amplitude based solely on the knowledge of poles, which number is drastically less than the number of full arrays. As an example we first provide all the poles for the cases $(k,n)=(3,7),(3,8),(4,8)$ and $(4,9)$ in terms of their generalized Feynman diagrams. We then implement a simple compatibility criteria together with an addition operation between arrays, and recover the full collections/arrays recently presented for such cases. Along the way we implement hard and soft kinematical limits, which provide a map between poles in kinematic space and their combinatoric arrays. We use the operation to give a proof of a previously conjectured combinatorial duality for arrays in $(k,n)$ and $(n-k,n)$. We also outline the relation to boundary maps of the hypersimplex $\Delta_{k,n}$ and rays in the tropical Grassmannian $\textrm{Tr}(k,n)$.

[ { "created": "Thu, 30 Jul 2020 18:24:27 GMT", "version": "v1" }, { "created": "Fri, 18 Aug 2023 03:33:50 GMT", "version": "v2" } ]

2024-03-27

[ [ "Guevara", "Alfredo", "" ], [ "Zhang", "Yong", "" ] ]

Planar arrays of tree diagrams were introduced as a generalization of Feynman diagrams that enables the computation biadjoint amplitudes $m^{(k)}_n$ for $k>2$ . In this follow-up work we investigate the poles of $m^{(k)}_n$ from the perspective of such arrays. For general $k$ we characterize the underlying polytope as a Flag Complex and propose a computation of the amplitude based solely on the knowledge of poles, which number is drastically less than the number of full arrays. As an example we first provide all the poles for the cases $(k,n)=(3,7),(3,8),(4,8)$ and $(4,9)$ in terms of their generalized Feynman diagrams. We then implement a simple compatibility criteria together with an addition operation between arrays, and recover the full collections/arrays recently presented for such cases. Along the way we implement hard and soft kinematical limits, which provide a map between poles in kinematic space and their combinatoric arrays. We use the operation to give a proof of a previously conjectured combinatorial duality for arrays in $(k,n)$ and $(n-k,n)$. We also outline the relation to boundary maps of the hypersimplex $\Delta_{k,n}$ and rays in the tropical Grassmannian $\textrm{Tr}(k,n)$.

12.379675

11.744722

14.650828

11.956537

12.582505

12.360305

13.310944

12.800104

12.585965

15.3739

11.55012

12.223879

12.799619

11.903315

12.342407

12.060186

12.473285

12.115109

11.860518

12.566651

12.137499

2406.06447

Mritunjay Verma

Raffaele Marotta, Kostas Skenderis and Mritunjay Verma

Flat space spinning massive amplitudes from momentum space CFT

30 pages + appendices, 4 figures

null

hep-th

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

We discuss the flat space limit of AdS using the momentum space representation of CFT correlators. The flat space limit involves sending the AdS radius and the dimensions of operators dual to massive fields to infinity while also scaling appropriately the sources of the dual operators. In this limit, d-dimensional CFT correlators become (d+1)-dimensional scattering amplitudes. We exemplify our discussion with the computation of the flat-space limit of the CFT 3-point function of a conserved current, a non-conserved charged vector operator and its conjugate. The flat-space limit should yield the scattering amplitude of an Abelian gauge field with two massive vector fields. This scattering amplitude computes the electromagnetic form factors of the electromagnetic current in a spin-1 state, and these form factors encode the electromagnetic properties of the massive vector field (charge, magnetic moment and quadruple moment). In terms of the CFT, the flat-space limit amounts to zooming in the infrared region of the triple-K integrals that determine the 3-point function, while also scaling to infinity the order of (some of) the Bessel functions that feature in the triple-K integrals. In this limit the triple-K integral becomes proportional to the energy-preserving delta function, and the flat space limit correctly yields the corresponding flat space scattering amplitude in complete detail.

[ { "created": "Mon, 10 Jun 2024 16:36:12 GMT", "version": "v1" } ]

2024-06-11

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

We discuss the flat space limit of AdS using the momentum space representation of CFT correlators. The flat space limit involves sending the AdS radius and the dimensions of operators dual to massive fields to infinity while also scaling appropriately the sources of the dual operators. In this limit, d-dimensional CFT correlators become (d+1)-dimensional scattering amplitudes. We exemplify our discussion with the computation of the flat-space limit of the CFT 3-point function of a conserved current, a non-conserved charged vector operator and its conjugate. The flat-space limit should yield the scattering amplitude of an Abelian gauge field with two massive vector fields. This scattering amplitude computes the electromagnetic form factors of the electromagnetic current in a spin-1 state, and these form factors encode the electromagnetic properties of the massive vector field (charge, magnetic moment and quadruple moment). In terms of the CFT, the flat-space limit amounts to zooming in the infrared region of the triple-K integrals that determine the 3-point function, while also scaling to infinity the order of (some of) the Bessel functions that feature in the triple-K integrals. In this limit the triple-K integral becomes proportional to the energy-preserving delta function, and the flat space limit correctly yields the corresponding flat space scattering amplitude in complete detail.

7.794008

8.18412

8.481449

7.276402

8.606396

8.031365

7.895082

7.487055

7.679284

9.644297

7.746403

7.682611

8.065575

7.687452

7.645673

7.304446

7.636568

7.38568

7.630196

8.2392

7.562251

1204.2215

Bayram Tekin

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

New Exact Solutions of Quadratic Curvature Gravity

20 pages, references added, typos corrected, Appendix B improved, version to appear in Phys. Rev. D

Phys. Rev. D 86, 024009 (2012)

10.1103/PhysRevD.86.024009

null

hep-th gr-qc

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

It is a known fact that the Kerr-Schild type solutions in general relativity satisfy both exact and linearized Einstein field equations. We show that this property remains valid also for a special class of the Kerr-Schild metrics in arbitrary dimensions in generic quadratic curvature theory. In addition to the AdS-wave (or Siklos) metric which represents plane waves in an AdS background, we present here a new exact solution, in this class, to the quadratic gravity in D-dimensions which represents a spherical wave in an AdS background. The solution is a special case of the Kundt metrics belonging to spacetimes with constant curvature invariants.

[ { "created": "Tue, 10 Apr 2012 16:42:58 GMT", "version": "v1" }, { "created": "Sun, 15 Apr 2012 08:29:14 GMT", "version": "v2" }, { "created": "Wed, 13 Jun 2012 11:42:59 GMT", "version": "v3" } ]

2012-07-17

[ [ "Gurses", "Metin", "" ], [ "Sisman", "Tahsin Cagri", "" ], [ "Tekin", "Bayram", "" ] ]

It is a known fact that the Kerr-Schild type solutions in general relativity satisfy both exact and linearized Einstein field equations. We show that this property remains valid also for a special class of the Kerr-Schild metrics in arbitrary dimensions in generic quadratic curvature theory. In addition to the AdS-wave (or Siklos) metric which represents plane waves in an AdS background, we present here a new exact solution, in this class, to the quadratic gravity in D-dimensions which represents a spherical wave in an AdS background. The solution is a special case of the Kundt metrics belonging to spacetimes with constant curvature invariants.

9.65455

9.958589

8.904866

8.869884

10.556834

9.112544

9.607712

9.112705

9.688264

11.170752

9.948221

9.116947

8.91256

8.827662

9.188465

9.341993

9.023267

8.930166

9.084558

9.052117

9.191596

2205.12272

Gr\'egoire Mathys

Kurt Hinterbichler, Diego M. Hofman, Austin Joyce, Gr\'egoire Mathys

Gravity as a gapless phase and biform symmetries

82 pages, 1 figure, corrected minor error involving Tr(K), results unchanged

null

10.1007/JHEP02(2023)151

null

hep-th gr-qc hep-ph

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

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these theories also have a topological (magnetic) biform current, its conservation law is anomalous. We go on to show that this mixed anomaly uniquely fixes the two-point function between the electric and magnetic currents. We then perform a K\"all\'en-Lehmann spectral decomposition of the current-current correlator, proving that there is a massless mode in the spectrum, whose masslessness is protected by the anomaly. Furthermore, the anomaly gives rise to a universal form of the EFT whose most relevant term, which resembles the linear Einstein action, dominates the infrared physics. As applications of this general formalism, we study the theories of a Galileon superfluid and linearized gravity. Thus, one can view the masslessness of the graviton as being protected by the anomalous biform symmetries. The associated EFT provides an organizing principle for gravity at low energies in terms of physical symmetries, and allows interactions consistent with linearized diffeomorphism invariance. These theories are not ultraviolet-complete, the relevant symmetries can be viewed as emergent, nor do they include the nonlinearities necessary to make them fully diffeomorphism invariant, so there is no contradiction with the expectation that quantum gravity cannot have any global symmetries.

[ { "created": "Tue, 24 May 2022 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 16 Nov 2022 16:48:00 GMT", "version": "v2" } ]

2023-03-22

[ [ "Hinterbichler", "Kurt", "" ], [ "Hofman", "Diego M.", "" ], [ "Joyce", "Austin", "" ], [ "Mathys", "Grégoire", "" ] ]

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these theories also have a topological (magnetic) biform current, its conservation law is anomalous. We go on to show that this mixed anomaly uniquely fixes the two-point function between the electric and magnetic currents. We then perform a K\"all\'en-Lehmann spectral decomposition of the current-current correlator, proving that there is a massless mode in the spectrum, whose masslessness is protected by the anomaly. Furthermore, the anomaly gives rise to a universal form of the EFT whose most relevant term, which resembles the linear Einstein action, dominates the infrared physics. As applications of this general formalism, we study the theories of a Galileon superfluid and linearized gravity. Thus, one can view the masslessness of the graviton as being protected by the anomalous biform symmetries. The associated EFT provides an organizing principle for gravity at low energies in terms of physical symmetries, and allows interactions consistent with linearized diffeomorphism invariance. These theories are not ultraviolet-complete, the relevant symmetries can be viewed as emergent, nor do they include the nonlinearities necessary to make them fully diffeomorphism invariant, so there is no contradiction with the expectation that quantum gravity cannot have any global symmetries.

9.038321

9.281687

9.391483

8.935389

9.722818

9.323174

8.748787

9.058189

9.138958

10.037943

8.727431

8.67124

8.93479

8.977175

9.027938

8.753465

9.193694

8.824348

9.092522

9.180462

8.796389

hep-th/0703269

Sergei Kuzenko

Sergei M. Kuzenko and Simon J. Tyler

Supersymmetric Euler-Heisenberg effective action: Two-loop results

27 pages, 2 eps figures, LaTeX; V2: typos corrected, comments and reference added

JHEP 0705:081,2007

10.1088/1126-6708/2007/05/081

null

hep-th

null

The two-loop Euler-Heisenberg-type effective action for N = 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints D_\a W_\b = D_{(\a} W_{\b)} = const, but is otherwise completely arbitrary. Technically, this calculation proves to be much more laborious as compared with that carried out in hep-th/0308136 for N = 2 supersymmetric QED, due to a lesser amount of supersymmetry. Similarly to Ritus' analysis for spinor and scalar QED, the two-loop renormalisation is carried out using proper-time cut-off regularisation. A closed-form expression is obtained for the holomorphic sector of the two-loop effective action, which is singled out by imposing a relaxed super self-duality condition.

[ { "created": "Thu, 29 Mar 2007 06:42:54 GMT", "version": "v1" }, { "created": "Fri, 20 Apr 2007 03:26:56 GMT", "version": "v2" } ]

2010-10-27

[ [ "Kuzenko", "Sergei M.", "" ], [ "Tyler", "Simon J.", "" ] ]

The two-loop Euler-Heisenberg-type effective action for N = 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints D_\a W_\b = D_{(\a} W_{\b)} = const, but is otherwise completely arbitrary. Technically, this calculation proves to be much more laborious as compared with that carried out in hep-th/0308136 for N = 2 supersymmetric QED, due to a lesser amount of supersymmetry. Similarly to Ritus' analysis for spinor and scalar QED, the two-loop renormalisation is carried out using proper-time cut-off regularisation. A closed-form expression is obtained for the holomorphic sector of the two-loop effective action, which is singled out by imposing a relaxed super self-duality condition.

8.857268

8.55018

9.240332

7.968256

8.444753

7.874124

8.096245

7.643761

7.774413

9.807962

7.188108

7.980531

8.778366

8.188106

8.27147

8.143631

8.117574

8.224317

8.47091

8.785439

8.233741

hep-th/9909050

Mauro Varela

R. Gianvittorio, A. Restuccia and J.F. Sanchez

Non Abelian TQFT and scattering of self dual field configuration

13 pages, Latex

Phys.Rev. D60 (1999) 124014

10.1103/PhysRevD.60.124014

SB/F/99-263

hep-th

null

A non-abelian topological quantum field theory describing the scattering of self-dual field configurations over topologically non-trivial Riemann surfaces, arising from the reduction of 4-dim self-dual Yang-Mills fields, is introduced. It is shown that the phase space of the theory can be exactly quantized in terms of the space of holomorphic structures over stable vector bundles of degree zero over Riemann surfaces. The Dirac monopoles are particular static solutions of the field equations. Its relation to topological gravity is discussed.

[ { "created": "Wed, 8 Sep 1999 23:47:39 GMT", "version": "v1" } ]

2009-10-31

[ [ "Gianvittorio", "R.", "" ], [ "Restuccia", "A.", "" ], [ "Sanchez", "J. F.", "" ] ]

A non-abelian topological quantum field theory describing the scattering of self-dual field configurations over topologically non-trivial Riemann surfaces, arising from the reduction of 4-dim self-dual Yang-Mills fields, is introduced. It is shown that the phase space of the theory can be exactly quantized in terms of the space of holomorphic structures over stable vector bundles of degree zero over Riemann surfaces. The Dirac monopoles are particular static solutions of the field equations. Its relation to topological gravity is discussed.

7.832363

7.898789

8.381857

6.776866

7.840178

7.295289

7.067141

7.616061

7.478393

7.942641

6.762343

7.519709

7.569524

7.028472

7.182263

7.359126

7.259033

7.103099

7.171523

7.862499

7.044681

0906.3297

Sebastian Moster

R. Blumenhagen, J.P. Conlon, S. Krippendorf, S. Moster, F. Quevedo

SUSY Breaking in Local String/F-Theory Models

null

JHEP 0909:007,2009

10.1088/1126-6708/2009/09/007

null

hep-th

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

We investigate bulk moduli stabilisation and supersymmetry breaking in local string/F-theory models where the Standard Model is supported on a del Pezzo surface or singularity. Computing the gravity mediated soft terms on the Standard Model brane induced by bulk supersymmetry breaking in the LARGE volume scenario, we explicitly find suppressions by M_s/M_P ~ V^{-1/2} compared to M_{3/2}. This gives rise to several phenomenological scenarios, depending on the strength of perturbative corrections to the effective action and the source of de Sitter lifting, in which the soft terms are suppressed by at least M_P/V^{3/2} and may be as small as M_P/V^2. Since the gravitino mass is of order M_{3/2} ~ M_P/V, for TeV soft terms all these scenarios give a very heavy gravitino (M_{3/2} >= 10^8 GeV) and generically the lightest moduli field is also heavy enough (m >= 10 TeV) to avoid the cosmological moduli problem. For TeV soft terms, these scenarios predict a minimal value of the volume to be V ~ 10^{6-7} in string units, which would give a unification scale of order M_{GUT} ~ M_s V^{1/6} ~ 10^{16} GeV. The strong suppression of gravity mediated soft terms could also possibly allow a scenario of dominant gauge mediation in the visible sector but with a very heavy gravitino M_{3/2} > 1 TeV.

[ { "created": "Thu, 18 Jun 2009 09:45:36 GMT", "version": "v1" }, { "created": "Mon, 27 Jul 2009 08:07:51 GMT", "version": "v2" } ]

2009-09-28

[ [ "Blumenhagen", "R.", "" ], [ "Conlon", "J. P.", "" ], [ "Krippendorf", "S.", "" ], [ "Moster", "S.", "" ], [ "Quevedo", "F.", "" ] ]

We investigate bulk moduli stabilisation and supersymmetry breaking in local string/F-theory models where the Standard Model is supported on a del Pezzo surface or singularity. Computing the gravity mediated soft terms on the Standard Model brane induced by bulk supersymmetry breaking in the LARGE volume scenario, we explicitly find suppressions by M_s/M_P ~ V^{-1/2} compared to M_{3/2}. This gives rise to several phenomenological scenarios, depending on the strength of perturbative corrections to the effective action and the source of de Sitter lifting, in which the soft terms are suppressed by at least M_P/V^{3/2} and may be as small as M_P/V^2. Since the gravitino mass is of order M_{3/2} ~ M_P/V, for TeV soft terms all these scenarios give a very heavy gravitino (M_{3/2} >= 10^8 GeV) and generically the lightest moduli field is also heavy enough (m >= 10 TeV) to avoid the cosmological moduli problem. For TeV soft terms, these scenarios predict a minimal value of the volume to be V ~ 10^{6-7} in string units, which would give a unification scale of order M_{GUT} ~ M_s V^{1/6} ~ 10^{16} GeV. The strong suppression of gravity mediated soft terms could also possibly allow a scenario of dominant gauge mediation in the visible sector but with a very heavy gravitino M_{3/2} > 1 TeV.

6.48582

7.015706

6.81877

6.344993

6.839392

6.985894

6.337633

6.635264

6.062022

7.108472

6.290082

6.347105

6.267159

6.049849

6.108409

6.231126

6.128843

6.332943

6.219247

6.341535

6.154414

0803.0075

George Savvidy K

Spyros Konitopoulos, Raffaele Fazio and George Savvidy

Tensor gauge boson production in high energy collisions

LaTeX, 19 pages, 3 figures, typos removed

Europhys.Lett.85:51001,2009

10.1209/0295-5075/85/51001

NRCPS-HE-02-08

hep-th hep-ph

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

We calculated the leading-order cross section for the helicity two tensor gauge bosons production in fermion pair annihilation process. We compare this cross section with a similar annihilation processes in QED with two photons in the final state and with two gluons in QCD.

[ { "created": "Sat, 1 Mar 2008 18:30:23 GMT", "version": "v1" }, { "created": "Wed, 5 Mar 2008 20:53:44 GMT", "version": "v2" }, { "created": "Wed, 5 Mar 2008 21:04:14 GMT", "version": "v3" } ]

2009-08-03

[ [ "Konitopoulos", "Spyros", "" ], [ "Fazio", "Raffaele", "" ], [ "Savvidy", "George", "" ] ]

We calculated the leading-order cross section for the helicity two tensor gauge bosons production in fermion pair annihilation process. We compare this cross section with a similar annihilation processes in QED with two photons in the final state and with two gluons in QCD.

14.383643

14.614163

12.401833

11.172799

11.063656

12.725975

11.677557

12.036299

10.448949

11.248437

11.263617

12.19417

11.405921

11.401921

12.233298

12.574822

12.612346

12.252876

11.333298

11.677904

11.942259

hep-th/0601184

Dermot O'Reilly

D. O'Reilly

D=10, N=1 Supergravity and Second Order String Corrections

56 pages

null

hep-th

null

We solve the non-minimal case of string corrected D=10, N=1 Supergravity as the low energy limit of string theory. We find a consistent set of solutions to the Bianchi identities in the H sector, and we also find the torsions and curvatures at second order in the string slope parameter. In so doing we solve a long standing problem in the non minimal case of the perturbative expansion.

[ { "created": "Wed, 25 Jan 2006 18:17:02 GMT", "version": "v1" }, { "created": "Wed, 8 Feb 2006 15:36:28 GMT", "version": "v2" }, { "created": "Thu, 16 Feb 2006 19:15:24 GMT", "version": "v3" } ]

2007-05-23

[ [ "O'Reilly", "D.", "" ] ]

We solve the non-minimal case of string corrected D=10, N=1 Supergravity as the low energy limit of string theory. We find a consistent set of solutions to the Bianchi identities in the H sector, and we also find the torsions and curvatures at second order in the string slope parameter. In so doing we solve a long standing problem in the non minimal case of the perturbative expansion.

11.391056

9.178937

12.198111

9.286065

9.565371

9.286718

9.936675

9.873064

9.855396

12.717181

9.463161

10.605145

10.943723

10.693339

10.380959

10.443028

10.291572

10.357159

10.30369

10.856983

10.291869

hep-th/9407109

Andrei Johansen

Infinite Conformal Algebras in Supersymmetric Theories on Four Manifolds

NBI-HE-94-34, Latex, 57 pages

Nucl.Phys.B436:291-341,1995

10.1016/0550-3213(94)00408-7

null

hep-th

null

We study a supersymmetric theory twisted on a K\"ahler four manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann surfaces. We demonstrate that it possesses a "left-moving" conformal stress tensor on $\Sigma_1$ ($\Sigma_2$) in a BRST cohomology, which generates the Virasoro algebra with the conventional commutation relations. The central charge of the Virasoro algebra has a purely geometric origin and is proportional to the Euler characteristic $\c$ of the $\Sigma_2$ ($\Sigma_1$) surface. It is shown that this construction can be extended to include a realization of a Kac-Moody algebra in BRST cohomology with a level proportional to the Euler characteristic $\c .$ This structure is shown to be invariant under renormalization group. A representation of the algebra $W_{1+\infty}$ in terms of a free chiral supermultiplet is also given. We discuss the role of instantons and a possible relation between the dynamics of 4D Yang-Mills theories and those of 2D sigma models.

[ { "created": "Mon, 18 Jul 1994 17:32:56 GMT", "version": "v1" } ]

2011-07-19

[ [ "Johansen", "Andrei", "" ] ]

We study a supersymmetric theory twisted on a K\"ahler four manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann surfaces. We demonstrate that it possesses a "left-moving" conformal stress tensor on $\Sigma_1$ ($\Sigma_2$) in a BRST cohomology, which generates the Virasoro algebra with the conventional commutation relations. The central charge of the Virasoro algebra has a purely geometric origin and is proportional to the Euler characteristic $\c$ of the $\Sigma_2$ ($\Sigma_1$) surface. It is shown that this construction can be extended to include a realization of a Kac-Moody algebra in BRST cohomology with a level proportional to the Euler characteristic $\c .$ This structure is shown to be invariant under renormalization group. A representation of the algebra $W_{1+\infty}$ in terms of a free chiral supermultiplet is also given. We discuss the role of instantons and a possible relation between the dynamics of 4D Yang-Mills theories and those of 2D sigma models.

6.420454

6.55523

7.371746

5.88072

6.267732

6.201768

6.191761

6.242832

6.040893

7.614367

5.970738

6.02473

6.733283

6.11887

6.150426

5.990028

6.045011

5.982287

6.042312

6.528778

6.038461

1206.6349

Andrei Zotov

A.Mironov, A.Morozov, B.Runov, Y.Zenkevich, A.Zotov

Spectral Duality Between Heisenberg Chain and Gaudin Model

36 pages

Letters in Mathematical Physics: Volume 103, Issue 3 (2013), Page 299-329

10.1007/s11005-012-0595-0

null

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

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

In our recent paper we described relationships between integrable systems inspired by the AGT conjecture. On the gauge theory side an integrable spin chain naturally emerges while on the conformal field theory side one obtains some special reduced Gaudin model. Two types of integrable systems were shown to be related by the spectral duality. In this paper we extend the spectral duality to the case of higher spin chains. It is proved that the N-site GL(k) Heisenberg chain is dual to the special reduced k+2-points gl(N) Gaudin model. Moreover, we construct an explicit Poisson map between the models at the classical level by performing the Dirac reduction procedure and applying the AHH duality transformation.

[ { "created": "Wed, 27 Jun 2012 17:50:20 GMT", "version": "v1" } ]

2015-06-05

[ [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ], [ "Runov", "B.", "" ], [ "Zenkevich", "Y.", "" ], [ "Zotov", "A.", "" ] ]

In our recent paper we described relationships between integrable systems inspired by the AGT conjecture. On the gauge theory side an integrable spin chain naturally emerges while on the conformal field theory side one obtains some special reduced Gaudin model. Two types of integrable systems were shown to be related by the spectral duality. In this paper we extend the spectral duality to the case of higher spin chains. It is proved that the N-site GL(k) Heisenberg chain is dual to the special reduced k+2-points gl(N) Gaudin model. Moreover, we construct an explicit Poisson map between the models at the classical level by performing the Dirac reduction procedure and applying the AHH duality transformation.

10.077751

9.695576

10.862098

9.650702

9.961279

10.790282

9.493597

10.44936

9.641997

12.772302

9.57259

9.601802

10.527015

9.619741

9.243194

9.740561

10.029871

9.762694

9.460276

10.277029

9.323203

1507.00015

Toby Wiseman

Andrew Hickling and Toby Wiseman

AdS/CFT and the geometry of an energy gap

15 pages

null

10.1088/0264-9381/33/3/035007

null

hep-th gr-qc

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

We consider a CFT defined on a static metric that is the product of time with a smooth closed space of positive scalar curvature. We expect the theory to exhibit an energy gap and our aim is to investigate how that gap depends on the geometry of the space. For a free conformal scalar it is straightforward to show the gap normalised by the minimum value of the Ricci scalar of the space is minimised when the space is a sphere. Our main result is then to show using geometric arguments that precisely the same result holds for fluctuations of a scalar operator in any holographic CFT. We prove this under the assumption that the dual vacuum geometry is a smooth Einstein metric ending only on the conformal boundary, and then consider fluctuations of a minimally coupled massive scalar field about this. We also argue the holographic CFT will have states dual to small bulk black holes whose existence is related to the energy gap. We show the thermodynamic properties of these black holes obey a bound of a similar nature to that of the scalar fluctuations - the ratio of CFT energy to a power of entropy for the states dual to black holes in the 'small' limit is bounded from below when appropriately normalised by the minimum Ricci scalar of the boundary space. Again the bound is saturated for a sphere.

[ { "created": "Tue, 30 Jun 2015 20:04:19 GMT", "version": "v1" } ]

2016-01-27

[ [ "Hickling", "Andrew", "" ], [ "Wiseman", "Toby", "" ] ]

We consider a CFT defined on a static metric that is the product of time with a smooth closed space of positive scalar curvature. We expect the theory to exhibit an energy gap and our aim is to investigate how that gap depends on the geometry of the space. For a free conformal scalar it is straightforward to show the gap normalised by the minimum value of the Ricci scalar of the space is minimised when the space is a sphere. Our main result is then to show using geometric arguments that precisely the same result holds for fluctuations of a scalar operator in any holographic CFT. We prove this under the assumption that the dual vacuum geometry is a smooth Einstein metric ending only on the conformal boundary, and then consider fluctuations of a minimally coupled massive scalar field about this. We also argue the holographic CFT will have states dual to small bulk black holes whose existence is related to the energy gap. We show the thermodynamic properties of these black holes obey a bound of a similar nature to that of the scalar fluctuations - the ratio of CFT energy to a power of entropy for the states dual to black holes in the 'small' limit is bounded from below when appropriately normalised by the minimum Ricci scalar of the boundary space. Again the bound is saturated for a sphere.

9.68707

9.546896

10.034294

9.274176

10.114916

9.99255

9.566167

9.134451

9.172533

11.069485

9.424129

9.437237

9.970016

9.388224

9.507292

9.356028

9.657025

9.762409

9.533551

9.821981

9.440291

hep-th/0001221

Adilson Jose' da Silva

V. S. Alves, M. Gomes, S. L. V. Pinheiro and A. J. da Silva

A Renormalization Group Study of the $(\phi^* \phi)^3$ Model coupled to a Chern-Simons Field

21 pages (revtex), 11 figures (eps). To appear in Phys. Rev. D

Phys.Rev.D61:065003,2000

10.1103/PhysRevD.61.065003

null

hep-th

null

We consider the model of a massless charged scalar field, in (2+1) dimensions, with a self interaction of the form $lambda (\phi^* \phi)^3$ and interacting with a Chern Simons field. We calculate the renormalization group $\beta$ functions of the coupling constants and the anomalous dimensions $\gamma$ of the basic fields. We show that the interaction with the Chern Simons field implies in a $\beta_{\lambda}$ which suggests that a dynamical symmetry breakdown occurs. We also study the effect of the Chern Simons field on the anomalous dimensions of the composite operators $(\phi^* \phi)^n$, getting the result that their operator dimensions are lowered.

[ { "created": "Mon, 31 Jan 2000 19:49:39 GMT", "version": "v1" } ]

2008-11-26

[ [ "Alves", "V. S.", "" ], [ "Gomes", "M.", "" ], [ "Pinheiro", "S. L. V.", "" ], [ "da Silva", "A. J.", "" ] ]

We consider the model of a massless charged scalar field, in (2+1) dimensions, with a self interaction of the form $lambda (\phi^* \phi)^3$ and interacting with a Chern Simons field. We calculate the renormalization group $\beta$ functions of the coupling constants and the anomalous dimensions $\gamma$ of the basic fields. We show that the interaction with the Chern Simons field implies in a $\beta_{\lambda}$ which suggests that a dynamical symmetry breakdown occurs. We also study the effect of the Chern Simons field on the anomalous dimensions of the composite operators $(\phi^* \phi)^n$, getting the result that their operator dimensions are lowered.

6.285009

5.8455

6.148978

5.79727

6.080037

6.19858

6.351139

5.714124

5.747714

6.11181

5.575721

6.028154

6.004143

5.763398

6.016099

6.125419

6.065566

5.887985

5.923408

5.951678

5.830023

hep-th/9907096

Ulrika Magnea

The orthogonal ensemble of random matrices and QCD in three dimensions

Latex, 18 pages, no figures. Corrected sum rule and factors of 2

Phys.Rev. D61 (2000) 056005

10.1103/PhysRevD.61.056005

DFTT 38/99

hep-th hep-ph

null

We consider the parity-invariant Dirac operator with a mass term in three-dimensional QCD for $N_c=2$ and quarks in the fundamental representation. We show that there exists a basis in which the matrix elements of the Euclidean Dirac operator are real. Assuming there is spontaneous breaking of flavor and/or parity, we read off from the fermionic action the flavor symmetry-breaking pattern $Sp(4N_f) \to Sp(2N_f) \times Sp(2N_f)$ that might occur in such a theory. We then construct a random matrix theory with the same global symmetries as two-color QCD$_3$ with fundamental fermions and derive from here the finite-volume partition function for the latter in the static limit. The expected symmetry breaking pattern is confirmed by the explicit calculation in random matrix theory. We also derive the first Leutwyler-Smilga-like sum rule for the eigenvalues of the Dirac operator.

[ { "created": "Tue, 13 Jul 1999 13:47:01 GMT", "version": "v1" }, { "created": "Thu, 23 Sep 1999 15:30:21 GMT", "version": "v2" }, { "created": "Tue, 23 Nov 1999 10:43:30 GMT", "version": "v3" }, { "created": "Fri, 29 Sep 2000 14:14:49 GMT", "version": "v4" } ]

2009-10-31

[ [ "Magnea", "Ulrika", "" ] ]

We consider the parity-invariant Dirac operator with a mass term in three-dimensional QCD for $N_c=2$ and quarks in the fundamental representation. We show that there exists a basis in which the matrix elements of the Euclidean Dirac operator are real. Assuming there is spontaneous breaking of flavor and/or parity, we read off from the fermionic action the flavor symmetry-breaking pattern $Sp(4N_f) \to Sp(2N_f) \times Sp(2N_f)$ that might occur in such a theory. We then construct a random matrix theory with the same global symmetries as two-color QCD$_3$ with fundamental fermions and derive from here the finite-volume partition function for the latter in the static limit. The expected symmetry breaking pattern is confirmed by the explicit calculation in random matrix theory. We also derive the first Leutwyler-Smilga-like sum rule for the eigenvalues of the Dirac operator.

7.141344

7.14569

7.328712

6.657635

7.923733

7.475898

6.839106

7.598912

6.673635

7.727101

7.071982

6.903906

6.959394

7.033201

7.003935

7.187724

6.981662

7.073592

6.993406

6.838584

6.818632

2209.03343

Max Hubner

Jonathan J. Heckman, Max H\"ubner, Ethan Torres, Hao Y. Zhang

The Branes Behind Generalized Symmetry Operators

v3: 21 pages + references, 1 figure; clarifications added, reference added

null

10.1002/prop.202200180

null

hep-th math.AT

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

The modern approach to $m$-form global symmetries in a $d$-dimensional quantum field theory (QFT) entails specifying dimension $d-m-1$ topological generalized symmetry operators which non-trivially link with $m$-dimensional defect operators. In QFTs engineered via string constructions on a non-compact geometry $X$, these defects descend from branes wrapped on non-compact cycles which extend from a localized source / singularity to the boundary $\partial X$. The generalized symmetry operators which link with these defects arise from magnetic dual branes wrapped on cycles in $\partial X$. This provides a systematic way to read off various properties of such topological operators, including their worldvolume topological field theories, and the resulting fusion rules. We illustrate these general features in the context of 6D superconformal field theories, where we use the F-theory realization of these theories to read off the worldvolume theory on the generalized symmetry operators. Defects of dimension 3 which are charged under a suitable 3-form symmetry detect a non-invertible fusion rule for these operators. We also sketch how similar considerations hold for related systems.

[ { "created": "Wed, 7 Sep 2022 17:59:01 GMT", "version": "v1" }, { "created": "Thu, 22 Sep 2022 17:38:44 GMT", "version": "v2" }, { "created": "Tue, 17 Jan 2023 20:26:22 GMT", "version": "v3" }, { "created": "Tue, 8 Aug 2023 03:45:16 GMT", "version": "v4" } ]

2023-08-09

[ [ "Heckman", "Jonathan J.", "" ], [ "Hübner", "Max", "" ], [ "Torres", "Ethan", "" ], [ "Zhang", "Hao Y.", "" ] ]

The modern approach to $m$-form global symmetries in a $d$-dimensional quantum field theory (QFT) entails specifying dimension $d-m-1$ topological generalized symmetry operators which non-trivially link with $m$-dimensional defect operators. In QFTs engineered via string constructions on a non-compact geometry $X$, these defects descend from branes wrapped on non-compact cycles which extend from a localized source / singularity to the boundary $\partial X$. The generalized symmetry operators which link with these defects arise from magnetic dual branes wrapped on cycles in $\partial X$. This provides a systematic way to read off various properties of such topological operators, including their worldvolume topological field theories, and the resulting fusion rules. We illustrate these general features in the context of 6D superconformal field theories, where we use the F-theory realization of these theories to read off the worldvolume theory on the generalized symmetry operators. Defects of dimension 3 which are charged under a suitable 3-form symmetry detect a non-invertible fusion rule for these operators. We also sketch how similar considerations hold for related systems.

9.998959

9.867927

12.359652

9.75939

9.884878

9.821415

10.17267

9.632028

9.573927

13.020906

9.767945

9.756287

10.229326

9.459038

9.572968

9.840171

9.991184

9.343575

9.984124

10.2656

9.522363

1411.5372

Hong Lu

Zhong-Ying Fan and H. Lu

SU(2)-Colored (A)dS Black Holes in Conformal Gravity

Latex, 22 pages, typos corrected and references added

null

10.1007/JHEP02(2015)013

null

hep-th gr-qc

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

We consider four-dimensional conformal gravity coupled to the U(1) Maxwell and SU(2) Yang-Mills fields. We study the structure of general black hole solutions carrying five independent parameters: the mass, the electric U(1) and magnetic SU(2) charges, the massive spin-2 charge and the thermodynamical pressure associated with the cosmological constant, which is an integration constant in conformal gravity. We derive the thermodynamical first law of the black holes. We obtain some exact solutions including an extremal black hole with vanishing mass and entropy, but with non-trivial SU(2) Yang-Mills charges. We derive the remainder of the first law for this special solution. We also reexamine the colored black holes and derive their first law in Einstein-Yang-Mills gravity with or without a cosmological constant.

[ { "created": "Wed, 19 Nov 2014 21:01:00 GMT", "version": "v1" }, { "created": "Sun, 30 Nov 2014 08:49:54 GMT", "version": "v2" }, { "created": "Mon, 12 Jan 2015 06:18:58 GMT", "version": "v3" } ]

2015-06-23

[ [ "Fan", "Zhong-Ying", "" ], [ "Lu", "H.", "" ] ]

We consider four-dimensional conformal gravity coupled to the U(1) Maxwell and SU(2) Yang-Mills fields. We study the structure of general black hole solutions carrying five independent parameters: the mass, the electric U(1) and magnetic SU(2) charges, the massive spin-2 charge and the thermodynamical pressure associated with the cosmological constant, which is an integration constant in conformal gravity. We derive the thermodynamical first law of the black holes. We obtain some exact solutions including an extremal black hole with vanishing mass and entropy, but with non-trivial SU(2) Yang-Mills charges. We derive the remainder of the first law for this special solution. We also reexamine the colored black holes and derive their first law in Einstein-Yang-Mills gravity with or without a cosmological constant.

6.547918

6.555106

6.409415

6.011037

6.258821

6.331576

6.507905

6.802213

6.107051

6.291368

6.120731

6.164034

6.46027

6.254849

6.256397

6.297415

6.274654

6.242585

6.27076

6.382072

6.192029

hep-th/0012055

Hongsu Kim

Hongsu Kim, Yongsung Yoon (Hanyang Univ., Korea)

Instanton-Meron Hybrid in the Background of Gravitational Instantons

33pages, Revtex, typos corrected

Phys.Rev. D63 (2001) 125002

10.1103/PhysRevD.63.125002

null

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

null

When it comes to the topological aspects, gravity may have profound effects even at the level of particle physics despite its negligibly small relative strength well below the Planck scale. In spite of this intriguing possibility, relatively little attempt has been made toward the exhibition of this phenomenon in relevant physical systems. In the present work, perhaps the simplest and the most straightforward new algorithm for generating solutions to (anti) self-dual Yang-Mills (YM) equation in the typical gravitational instanton backgrounds is proposed and then applied to find the solutions practically in all the gravitational instantons known. Solutions thus obtained turn out to be some kind of instanton-meron hybrids possessing mixed features of both. Namely, they are rather exotic type of configurations obeying first order (anti) self-dual YM equation which are everywhere non-singular and have finite Euclidean YM actions on one hand while exhibiting meron-like large distance behavior and carrying generally fractional topological charge values on the other. Close inspection, however, reveals that the solutions are more like instantons rather than merons in their generic natures.

[ { "created": "Thu, 7 Dec 2000 09:36:27 GMT", "version": "v1" }, { "created": "Tue, 12 Dec 2000 03:49:15 GMT", "version": "v2" } ]

2009-10-31

[ [ "Kim", "Hongsu", "", "Hanyang Univ., Korea" ], [ "Yoon", "Yongsung", "", "Hanyang Univ., Korea" ] ]

When it comes to the topological aspects, gravity may have profound effects even at the level of particle physics despite its negligibly small relative strength well below the Planck scale. In spite of this intriguing possibility, relatively little attempt has been made toward the exhibition of this phenomenon in relevant physical systems. In the present work, perhaps the simplest and the most straightforward new algorithm for generating solutions to (anti) self-dual Yang-Mills (YM) equation in the typical gravitational instanton backgrounds is proposed and then applied to find the solutions practically in all the gravitational instantons known. Solutions thus obtained turn out to be some kind of instanton-meron hybrids possessing mixed features of both. Namely, they are rather exotic type of configurations obeying first order (anti) self-dual YM equation which are everywhere non-singular and have finite Euclidean YM actions on one hand while exhibiting meron-like large distance behavior and carrying generally fractional topological charge values on the other. Close inspection, however, reveals that the solutions are more like instantons rather than merons in their generic natures.

14.533024

15.539235

16.164148

15.073613

17.05048

14.779927

15.830577

14.300048

15.58018

16.323822

14.568302

14.680213

15.082355

14.733938

15.024232

14.963981

15.134121

15.040098

15.153282

15.102197

14.772476

2011.00734

Loriano Bonora

Loriano Bonora and Stefano Giaccari

Supersymmetric HS Yang-Mills-like models

17 pages. Comments added, bibliography augmented. arXiv admin note: text overlap with arXiv:1812.05030

null

SISSA/26/2020/FISI

hep-th

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

We introduce the supersymmetric version of YM-like theories with infinitely many spin fields in 4 dimension. The construction is carried out via the superfield method. The surprising feature of these models is that they describe in particular gauge and gravity in a supersymmetric form with no need of supergravity.

[ { "created": "Fri, 30 Oct 2020 13:20:27 GMT", "version": "v1" }, { "created": "Thu, 17 Dec 2020 14:10:00 GMT", "version": "v2" } ]

2020-12-18

[ [ "Bonora", "Loriano", "" ], [ "Giaccari", "Stefano", "" ] ]

We introduce the supersymmetric version of YM-like theories with infinitely many spin fields in 4 dimension. The construction is carried out via the superfield method. The surprising feature of these models is that they describe in particular gauge and gravity in a supersymmetric form with no need of supergravity.

18.448334

18.623104

19.310431

16.523579

17.437103

18.609894

18.645277

16.049519

16.219069

17.636869

15.618017

17.412142

16.944744

16.798395

17.297205

16.626455

16.652718

17.728128

16.716959

17.146475

17.043497

2104.12713

Archit Vidyarthi

Sandeep Aashish, Sukanta Panda, Abbas Altafhussain Tinwala, Archit Vidyarthi

Covariant Effective Action for Scalar-Tensor Theories of Gravity

Separate section for verifications, added on-shell verification; section 3 modified; added references; corrected typos

JCAP10(2021)006

10.1088/1475-7516/2021/10/006

null

hep-th gr-qc

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

We develop the calculation of the divergent part of one-loop covariant effective action for scalar fields minimally and non-minimally coupled to gravity using the generalized Schwinger-DeWitt technique. We derive the field-space metric using Vilkovisky's prescription and obtain new terms in the one-loop corrections which are absent in past literature with trivial choices of field-space metric. We further calculate the covariant versions of past results, obtained using the standard approach, by applying Barvinsky and Vilkovisky's extension to the ordinary Schwinger-DeWitt approach. For completeness, we study the one-loop gravitational corrections for a dilaton-extended two-field Starobinsky model and compare with known results.

[ { "created": "Mon, 26 Apr 2021 16:55:13 GMT", "version": "v1" }, { "created": "Fri, 27 Aug 2021 09:42:45 GMT", "version": "v2" } ]

2021-10-08

[ [ "Aashish", "Sandeep", "" ], [ "Panda", "Sukanta", "" ], [ "Tinwala", "Abbas Altafhussain", "" ], [ "Vidyarthi", "Archit", "" ] ]

We develop the calculation of the divergent part of one-loop covariant effective action for scalar fields minimally and non-minimally coupled to gravity using the generalized Schwinger-DeWitt technique. We derive the field-space metric using Vilkovisky's prescription and obtain new terms in the one-loop corrections which are absent in past literature with trivial choices of field-space metric. We further calculate the covariant versions of past results, obtained using the standard approach, by applying Barvinsky and Vilkovisky's extension to the ordinary Schwinger-DeWitt approach. For completeness, we study the one-loop gravitational corrections for a dilaton-extended two-field Starobinsky model and compare with known results.

11.292038

10.749197

11.503026

10.10945

11.193855

11.53106

11.34175

9.625426

10.334063

12.103691

10.573726

10.871787

10.861771

10.7395

11.303426

11.051648

10.990365

10.679849

10.819075

10.947219

10.569347

2104.11206

Gabriele Travaglini

Andreas Brandhuber, Gang Chen, Gabriele Travaglini, Congkao Wen

A new gauge-invariant double copy for heavy-mass effective theory

28 pages. v2: typos corrected, references added, JHEP version

null

10.1007/JHEP07(2021)047

QMUL-PH-21-12, SAGEX-21-04

hep-th

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

We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy matter particles in Yang-Mills and in gravity to leading order in the mass. In this set-up, the new BCJ numerators are fixed uniquely and directly written in terms of field strengths, making gauge invariance manifest. Furthermore, they are local and automatically satisfy the Jacobi relations and crossing symmetry. We construct these BCJ numerators explicitly up to six particles. We also discuss relations of the BCJ numerators in the heavy-mass effective theory with those in pure Yang-Mills amplitudes.

[ { "created": "Thu, 22 Apr 2021 17:40:50 GMT", "version": "v1" }, { "created": "Thu, 24 Jun 2021 09:38:13 GMT", "version": "v2" } ]

2021-07-28

[ [ "Brandhuber", "Andreas", "" ], [ "Chen", "Gang", "" ], [ "Travaglini", "Gabriele", "" ], [ "Wen", "Congkao", "" ] ]

We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy matter particles in Yang-Mills and in gravity to leading order in the mass. In this set-up, the new BCJ numerators are fixed uniquely and directly written in terms of field strengths, making gauge invariance manifest. Furthermore, they are local and automatically satisfy the Jacobi relations and crossing symmetry. We construct these BCJ numerators explicitly up to six particles. We also discuss relations of the BCJ numerators in the heavy-mass effective theory with those in pure Yang-Mills amplitudes.

9

8.289009

10.01269

8.195844

8.916169

8.470538

8.595376

8.486646

8.269309

9.803866

8.63041

8.470469

9.459874

8.706075

8.675572

8.761902

8.441852

8.667263

8.974429

9.6138

8.340594

2302.14093

Dario Sauro

Gregorio Paci, Dario Sauro, Omar Zanusso

Conformally covariant operators of mixed-symmetry tensors and MAGs

17 pages, published version

Class.Quant.Grav. 40 (2023) 21, 215005

10.1088/1361-6382/acf9d8

null

hep-th gr-qc

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

We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension $d$. Our results complete the classification of conformal actions that are quadratic on arbitrary tensors with three indices, which allows to write corresponding conformal actions for all tensor species that appear in the decomposition of the distorsion tensor of an arbitrary metric-affine theory of gravity including both torsion and nonmetricity. We also discuss the degrees of freedom that such theories are propagating, as well as interacting metric-affine theories that enjoy the conformal actions in the Gaussian limit.

[ { "created": "Mon, 27 Feb 2023 19:10:21 GMT", "version": "v1" }, { "created": "Wed, 24 Jan 2024 17:07:37 GMT", "version": "v2" } ]

2024-01-25

[ [ "Paci", "Gregorio", "" ], [ "Sauro", "Dario", "" ], [ "Zanusso", "Omar", "" ] ]

We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension $d$. Our results complete the classification of conformal actions that are quadratic on arbitrary tensors with three indices, which allows to write corresponding conformal actions for all tensor species that appear in the decomposition of the distorsion tensor of an arbitrary metric-affine theory of gravity including both torsion and nonmetricity. We also discuss the degrees of freedom that such theories are propagating, as well as interacting metric-affine theories that enjoy the conformal actions in the Gaussian limit.

15.313995

16.127647

15.763086

14.350499

14.765025

16.139402

15.975335

15.084223

14.20978

15.864986

14.270481

13.961006

14.378528

14.540201

15.296776

15.197154

14.682797

14.112799

15.045145

15.627431

14.589403

0809.0991

Hiroyuki Abe

Sequestering in models of F-term uplifting

6 pages, no figure; Talks given at PASCOS08 (the 14th International Symposium on Particles, Strings and Cosmology, Waterloo, Canada, June 2-6, 2008) and SUSY08 (the 16th International Conference on Supersymmetry and the Unification of Fundamental Interactions, Seoul, Korea, June 16-21, 2008)

AIP Conf.Proc.1078:411-413,2009

10.1063/1.3051977

null

hep-th hep-ph

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

We discuss the nature of sequestering supersymmetry breaking sectors in a certain class of moduli stabilization in supergravity/string models, where a negative vacuum energy of the nonperturbative moduli potential is canceled by dynamically generated F-terms. Two illustrating examples are shown to sketch the issues around the supersymmetry breaking, flavors and sequestering within such a framework.

[ { "created": "Fri, 5 Sep 2008 09:45:54 GMT", "version": "v1" } ]

2009-02-02

[ [ "Abe", "Hiroyuki", "" ] ]

We discuss the nature of sequestering supersymmetry breaking sectors in a certain class of moduli stabilization in supergravity/string models, where a negative vacuum energy of the nonperturbative moduli potential is canceled by dynamically generated F-terms. Two illustrating examples are shown to sketch the issues around the supersymmetry breaking, flavors and sequestering within such a framework.

20.4032

20.659576

18.570143

17.927971

17.886457

21.088524

18.247351

18.331022

17.104443

17.055281

18.171745

17.791954

15.919279

16.852936

18.657839

18.531946

17.708578

18.128046

17.119955

16.623283

17.394817

hep-th/9406073

V. P. Nair

V.P.Nair

Hard Thermal Loops in a Moving Plasma and a Magnetic Mass Term

10 pages, CCNY-HEP 4/94 (plain TeX)

Phys.Lett. B352 (1995) 117-121

10.1016/0370-2693(95)00473-X

null

hep-th hep-ph

null

We consider the hard thermal loops of QCD for a moving quark-gluon plasma. Generalizing from this we suggest a candidate for the magnetic mass term. This term may also be useful in understanding the mass gap of three-dimensional non-Abelian gauge theories.

[ { "created": "Mon, 13 Jun 1994 19:47:07 GMT", "version": "v1" } ]

2009-10-28

[ [ "Nair", "V. P.", "" ] ]

We consider the hard thermal loops of QCD for a moving quark-gluon plasma. Generalizing from this we suggest a candidate for the magnetic mass term. This term may also be useful in understanding the mass gap of three-dimensional non-Abelian gauge theories.

17.521761

13.207675

12.908351

13.123963

12.917923

12.863309

12.553104

12.169993

12.094239

13.574719

15.220698

13.625581

14.304368

13.204386

13.845857

14.877806

14.452411

14.777761

13.520616

14.341942

15.678289

1805.04913

Evgeny Shaverin

An anomalous propulsion mechanism using magnetic fields

21 pages, 3 figures

null

hep-th astro-ph.HE nucl-th

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

We consider a gas composed of a single family of standard model leptons which are approximately massless and trapped inside a charged rotating shell. Due to the magnetic vortical effect, the leptons gain momentum in the direction of the magnetic field induced by the rotating shell. We compute this momentum gain in a perturbative expansion and discuss the possible application of it to pulsar kicks.

[ { "created": "Sun, 13 May 2018 16:48:05 GMT", "version": "v1" } ]

2018-05-15

[ [ "Shaverin", "Evgeny", "" ] ]

We consider a gas composed of a single family of standard model leptons which are approximately massless and trapped inside a charged rotating shell. Due to the magnetic vortical effect, the leptons gain momentum in the direction of the magnetic field induced by the rotating shell. We compute this momentum gain in a perturbative expansion and discuss the possible application of it to pulsar kicks.

14.495844

12.763559

12.436961

10.823019

12.192842

13.72155

10.948149

13.258529

10.83767

12.027236

12.789048

11.714682

11.405385

11.292498

11.605142

11.579808

11.250199

11.714299

11.662096

11.903346

12.00123

1207.6908

Congkao Wen

Andreas Brandhuber, Gabriele Travaglini, Congkao Wen

All one-loop amplitudes in N=6 superconformal Chern-Simons theory

22 pages, 7 figures

null

10.1007/JHEP10(2012)145

null

hep-th

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

We exploit a recently found connection between special triple-cut diagrams and tree-level recursive diagrams to derive a general formula capturing the multi-particle factorisation of arbitrary one-loop amplitudes in the ABJM theory. This formula contains certain anomalous contributions which are reminiscent of the so-called non-factorising contributions appearing in the factorisation of one-loop amplitudes in four-dimensional gauge theory. In the second part of the paper we derive a recursion relation for the supercoefficients of one-loop amplitudes in ABJM theory. By applying this recursion relation, any one-loop supercoefficient can be reduced to special triple-cut diagrams involving at least one four-point tree amplitude. In turn, this implies that any one-loop supercoefficient can be derived from tree-level recursive diagrams.

[ { "created": "Mon, 30 Jul 2012 12:14:08 GMT", "version": "v1" } ]

2015-06-05

[ [ "Brandhuber", "Andreas", "" ], [ "Travaglini", "Gabriele", "" ], [ "Wen", "Congkao", "" ] ]

We exploit a recently found connection between special triple-cut diagrams and tree-level recursive diagrams to derive a general formula capturing the multi-particle factorisation of arbitrary one-loop amplitudes in the ABJM theory. This formula contains certain anomalous contributions which are reminiscent of the so-called non-factorising contributions appearing in the factorisation of one-loop amplitudes in four-dimensional gauge theory. In the second part of the paper we derive a recursion relation for the supercoefficients of one-loop amplitudes in ABJM theory. By applying this recursion relation, any one-loop supercoefficient can be reduced to special triple-cut diagrams involving at least one four-point tree amplitude. In turn, this implies that any one-loop supercoefficient can be derived from tree-level recursive diagrams.

8.259363

7.856691

8.967072

7.354573

8.524185

7.366478

7.794566

7.996268

7.449318

9.285855

7.426152

7.801277

7.772269

7.521048

7.578014

7.881966

7.776872

7.589291

7.739903

7.809176

7.456523

hep-th/9406161

Coussaert Olivier

M. Henneaux and S. Slavnov

A note on the path integral for systems with primary and secondary second class constraints

7 pages in LaTeX, ULB-TH 11/94

Phys.Lett. B338 (1994) 47-50

10.1016/0370-2693(94)91342-0

null

hep-th

null

It is shown that the phase space path integral for a system with arbitrary second class constraints (primary, secondary ...) can be rewritten as a configuration space path integral of the exponent of the Lagrangian action with some local measure.

[ { "created": "Fri, 24 Jun 1994 08:30:47 GMT", "version": "v1" } ]

2009-10-28

[ [ "Henneaux", "M.", "" ], [ "Slavnov", "S.", "" ] ]

It is shown that the phase space path integral for a system with arbitrary second class constraints (primary, secondary ...) can be rewritten as a configuration space path integral of the exponent of the Lagrangian action with some local measure.

14.597706

10.708808

11.452761

11.187779

12.539153

10.090149

10.704818

12.543462

10.741694

13.38428

10.533628

11.581915

12.203952

11.598499

11.478582

12.019608

11.458234

12.025585

12.092751

12.108737

12.070007

1502.00010

Blagoje Oblak

Glenn Barnich and Blagoje Oblak

Notes on the BMS group in three dimensions: II. Coadjoint representation

22 pages, references added, accepted for publication in JHEP. v3: Minor typos corrected, matches published version

null

10.1007/JHEP03(2015)033

null

hep-th gr-qc

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

The coadjoint representation of the BMS$_3$ group, which governs the covariant phase space of three-dimensional asymptotically flat gravity, is investigated. In particular, we classify coadjoint BMS$_3$ orbits and show that intrinsic angular momentum is free of supertranslation ambiguities. Finally, the link with induced representations upon geometric quantization is discussed.

[ { "created": "Fri, 30 Jan 2015 21:02:05 GMT", "version": "v1" }, { "created": "Mon, 23 Feb 2015 11:22:32 GMT", "version": "v2" }, { "created": "Sat, 21 Mar 2015 10:22:23 GMT", "version": "v3" } ]

2015-06-23

[ [ "Barnich", "Glenn", "" ], [ "Oblak", "Blagoje", "" ] ]

The coadjoint representation of the BMS$_3$ group, which governs the covariant phase space of three-dimensional asymptotically flat gravity, is investigated. In particular, we classify coadjoint BMS$_3$ orbits and show that intrinsic angular momentum is free of supertranslation ambiguities. Finally, the link with induced representations upon geometric quantization is discussed.

8.621392

7.169772

8.856994

7.649998

7.4358

7.086138

7.824557

6.556704

6.99578

8.499393

6.965411

7.300778

7.73538

7.188693

7.336107

7.380294

7.172524

7.540099

7.840878

8.166666

7.719346

1208.3418

Evgeny Ivanov

M. Goykhman, E. Ivanov, S. Sidorov

Super Landau Models on Odd Cosets

1 + 33 pages, some typos corrected

null

10.1103/PhysRevD.87.025026

JINR-E2-2012-89

hep-th math-ph math.MP

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

We construct d=1 sigma models of the Wess-Zumino type on the SU(n|1)/U(n) fermionic cosets. Such models can be regarded as a particular supersymmetric extension (with a target space supersymmetry) of the classical Landau model, when a charged particle possesses only fermionic coordinates. We consider both classical and quantum models, and prove the unitarity of the quantum model by introducing the metric operator on the Hilbert space of the quantum states, such that all their norms become positive-definite. It is remarkable that the quantum n=2 model exhibits hidden SU(2|2) symmetry. We also discuss the planar limit of these models. The Hilbert space in the planar n=2 case is shown to carry SU(2|2) symmetry which is different from that of the SU(2|1)/U(1) model.

[ { "created": "Thu, 16 Aug 2012 17:04:43 GMT", "version": "v1" }, { "created": "Fri, 17 Aug 2012 16:36:23 GMT", "version": "v2" } ]

2015-06-11

[ [ "Goykhman", "M.", "" ], [ "Ivanov", "E.", "" ], [ "Sidorov", "S.", "" ] ]

We construct d=1 sigma models of the Wess-Zumino type on the SU(n|1)/U(n) fermionic cosets. Such models can be regarded as a particular supersymmetric extension (with a target space supersymmetry) of the classical Landau model, when a charged particle possesses only fermionic coordinates. We consider both classical and quantum models, and prove the unitarity of the quantum model by introducing the metric operator on the Hilbert space of the quantum states, such that all their norms become positive-definite. It is remarkable that the quantum n=2 model exhibits hidden SU(2|2) symmetry. We also discuss the planar limit of these models. The Hilbert space in the planar n=2 case is shown to carry SU(2|2) symmetry which is different from that of the SU(2|1)/U(1) model.

8.843177

9.535169

10.008549

8.860023

9.687622

9.476512

8.866236

8.924041

8.894066

10.267478

8.487696

8.959712

9.166735

8.834085

8.554051

8.650477

8.77393

8.423604

8.726926

8.748079

8.33767

0805.4216

Gregory Moore

Matthias R. Gaberdiel, Sergei Gukov, Christoph A. Keller, Gregory W. Moore, Hirosi Ooguri

Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity

42pp., latex, 4 figures; v2: Several improvements in exposition have been added

null

CALT-68-2685, IPMU 08-0031, ITEP-TH-20/08

hep-th

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

We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N=(2,2) 2D CFT's. We show that such constraints have nontrivial implications for the existence of "extremal" N=(2,2) conformal field theories. Applications to AdS3 supergravity and flux compactifications are addressed.

[ { "created": "Tue, 27 May 2008 20:53:25 GMT", "version": "v1" }, { "created": "Sat, 8 Nov 2008 18:42:53 GMT", "version": "v2" } ]

2008-11-10

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Gukov", "Sergei", "" ], [ "Keller", "Christoph A.", "" ], [ "Moore", "Gregory W.", "" ], [ "Ooguri", "Hirosi", "" ] ]

We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N=(2,2) 2D CFT's. We show that such constraints have nontrivial implications for the existence of "extremal" N=(2,2) conformal field theories. Applications to AdS3 supergravity and flux compactifications are addressed.

8.835155

7.176704

10.366876

7.197674

7.367358

6.9453

7.022545

6.714956

7.164602

9.377887

6.537255

7.279692

8.987023

7.382272

7.44607

7.214174

7.464139

7.123457

7.757823

8.151175

6.879248

2212.02790

Herbert Weigel

Danial Saadatmand, Herbert Weigel

Excited fermions on kinks and the Dirac sea

10 pages, two figures, matches journal version

Phys. Rev., D107 (2023) 036006

10.1103/PhysRevD.107.036006

null

hep-th nlin.PS

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

We study quantum effects of recently discovered kink solitons which are constructed self-consistently by coupling to a single, excited fermion bound state. Our studies are based on the observation that in a semi-classical expansion the energies of this single level and of the Dirac sea should be treated equally. For these kink solutions we compute the energy of the Dirac sea as the fermion vacuum polarization energy. We find it to be substantial and to typically outweigh the energy gain from binding the single level.

[ { "created": "Tue, 6 Dec 2022 07:05:38 GMT", "version": "v1" }, { "created": "Thu, 9 Feb 2023 14:50:14 GMT", "version": "v2" } ]

2023-02-10

[ [ "Saadatmand", "Danial", "" ], [ "Weigel", "Herbert", "" ] ]

We study quantum effects of recently discovered kink solitons which are constructed self-consistently by coupling to a single, excited fermion bound state. Our studies are based on the observation that in a semi-classical expansion the energies of this single level and of the Dirac sea should be treated equally. For these kink solutions we compute the energy of the Dirac sea as the fermion vacuum polarization energy. We find it to be substantial and to typically outweigh the energy gain from binding the single level.

14.5131

16.211754

14.910309

14.16209

14.529967

15.287888

14.436566

15.219153

14.232948

15.043053

13.553473

12.555625

14.723853

13.406483

13.67307

13.231027

13.501044

13.221254

13.768021

14.909076

13.498613

hep-th/9212093

null

Bruno Zumino

Differential Calculus on Quantum Spaces and Quantum Groups

23 pages

null

LBL-33249 and UCB-PTH-92/41

hep-th

null

A review of recent developments in the quantum differential calculus. The quantum group $GL_q(n)$ is treated by considering it as a particular quantum space. Functions on $SL_q(n)$ are defined as a subclass of functions on $GL_q(n)$. The case of $SO_q(n)$ is also briefly considered. These notes cover part of a lecture given at the XIX International Conference on Group Theoretic Methods in Physics, Salamanca, Spain 1992.

[ { "created": "Tue, 15 Dec 1992 22:39:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zumino", "Bruno", "" ] ]

A review of recent developments in the quantum differential calculus. The quantum group $GL_q(n)$ is treated by considering it as a particular quantum space. Functions on $SL_q(n)$ are defined as a subclass of functions on $GL_q(n)$. The case of $SO_q(n)$ is also briefly considered. These notes cover part of a lecture given at the XIX International Conference on Group Theoretic Methods in Physics, Salamanca, Spain 1992.

7.615753

7.453695

7.4282

6.643777

7.297362

7.233897

7.605229

7.000733

6.435398

8.360292

7.05747

6.815181

7.487997

6.875757

6.968132

7.190437

7.096965

6.984782

6.793825

7.359501

6.870953

hep-th/0210095

Ctirad Klimcik

C. Klimcik

Yang-Baxter $\sigma$-models and dS/AdS T-duality

28 pages, LaTeX

JHEP 0212:051,2002

10.1088/1126-6708/2002/12/051

IML 02-XY

hep-th

null

We point out the existence of nonlinear $\sigma$-models on group manifolds which are left symmetric and right Poisson-Lie symmetric. We discuss the corresponding rich T-duality story with particular emphasis on two examples: the anisotropic principal chiral model and the $SL(2,C)/SU(2)$ WZW model. The latter has the de Sitter space as its (conformal) non-Abelian dual.

[ { "created": "Thu, 10 Oct 2002 11:55:32 GMT", "version": "v1" } ]

2010-11-29

[ [ "Klimcik", "C.", "" ] ]

We point out the existence of nonlinear $\sigma$-models on group manifolds which are left symmetric and right Poisson-Lie symmetric. We discuss the corresponding rich T-duality story with particular emphasis on two examples: the anisotropic principal chiral model and the $SL(2,C)/SU(2)$ WZW model. The latter has the de Sitter space as its (conformal) non-Abelian dual.

9.769173

8.215956

9.530042

8.657228

9.109683

9.716134

9.203719

8.310994

7.923036

11.549418

8.777273

8.773512

9.35233

8.639242

8.937131

8.968595

8.735289

8.506283

8.91662

9.807032

8.773621

0711.1472

Anton Gerasimov

Anton A. Gerasimov and Samson L. Shatashvili

Two-dimensional Gauge Theories and Quantum Integrable Systems

29 pages

null

hep-th

null

In this paper the relation between 2d topological gauge theories and Bethe Ansatz equations is reviewed. In addition we present some new results and clarifications. We hope the relations discussed here are particular examples of more general relations between quantum topological fields theories in dimensions $d\leq 4$ and quantum integrable systems.

[ { "created": "Fri, 9 Nov 2007 14:45:34 GMT", "version": "v1" } ]

2007-11-12

[ [ "Gerasimov", "Anton A.", "" ], [ "Shatashvili", "Samson L.", "" ] ]

In this paper the relation between 2d topological gauge theories and Bethe Ansatz equations is reviewed. In addition we present some new results and clarifications. We hope the relations discussed here are particular examples of more general relations between quantum topological fields theories in dimensions $d\leq 4$ and quantum integrable systems.

10.423656

9.899562

10.143775

8.647629

9.437509

8.640979

8.397089

8.869294

8.87665

10.990262

8.169065

9.042138

9.614125

8.530796

8.693544

8.508709

8.380131

8.942553

8.793111

9.250231

8.684929

1910.01710

Di Wang

Warren Siegel and Di Wang

F-theory superspace backgrounds

Lualatex file available at http://insti.physics.sunysb.edu/~siegel/tex.shtml

null

hep-th

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

F-theory is the theory proposed to incorporate superstring theory in a way such that STU dualities are manifest. A useful description uses a current superalgebra on a higher-dimensional worldvolume, following from an action for a selfdual gauge field. Here the group "metric" appearing in the Schwinger (central charge) term of this current superalgebra is generalized to a tensor, in analogy to the usual generalization of the structure constants to the torsion (and curvature). This allows introduction of a massless background describing F-supergravity on the original bosonic worldvolume. The isotropy group is represented on superspace, while the (exceptional) symmetry is represented on the worldvolume. As an example, we solve off shell the linearized superspace constraints of the massless sector of the F-theory that generalizes the N=2 supergravity (+ matter) of 3D S(tring)-theory, the corresponding manifestly T-dual theory of T-theory, and the N=1 supergravity of 4D M-theory. The results for the prepotential, its gauge transformation, and action agree with those that were derived previously without reference to the current algebra of the full F-theory.

[ { "created": "Thu, 3 Oct 2019 20:26:22 GMT", "version": "v1" } ]

2019-10-07

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

F-theory is the theory proposed to incorporate superstring theory in a way such that STU dualities are manifest. A useful description uses a current superalgebra on a higher-dimensional worldvolume, following from an action for a selfdual gauge field. Here the group "metric" appearing in the Schwinger (central charge) term of this current superalgebra is generalized to a tensor, in analogy to the usual generalization of the structure constants to the torsion (and curvature). This allows introduction of a massless background describing F-supergravity on the original bosonic worldvolume. The isotropy group is represented on superspace, while the (exceptional) symmetry is represented on the worldvolume. As an example, we solve off shell the linearized superspace constraints of the massless sector of the F-theory that generalizes the N=2 supergravity (+ matter) of 3D S(tring)-theory, the corresponding manifestly T-dual theory of T-theory, and the N=1 supergravity of 4D M-theory. The results for the prepotential, its gauge transformation, and action agree with those that were derived previously without reference to the current algebra of the full F-theory.

15.176262

15.014038

16.211826

14.492796

15.730555

15.168326

15.27241

15.081259

14.366554

17.140774

14.655667

14.460507

15.0414

14.427444

14.595541

14.736946

14.209417

14.283531

14.413665

14.696627

14.802881

hep-th/0403006

Nicholas Warner

Dennis Nemeschansky and Nicholas P. Warner

A Family of M-theory Flows with Four Supersymmetries

19 pages; harvmac

null

USC-04/01

hep-th

null

We use the techniques of "algebraic Killing spinors" to obtain a family of holographic flow solutions with four supersymmetries in M-theory. The family of supersymmetric backgrounds constructed here includes the non-trivial flow to the (2+1)-dimensional analog of the Leigh-Strassler fixed point as well as generalizations that involve the M2-branes spreading in a radially symmetric fashion on the Coulomb branch of this non-trivial fixed point theory. In spreading out, these M2-branes also appear to undergo dielectric polarization into M5-branes. Our results naturally extend the earlier applications of the "algebraic Killing spinor" method and also generalize the harmonic Ansatz in that our entire family of new supersymmetric backgrounds is characterized by the solutions of a single, second-order, non-linear PDE. We also show that our solution is a natural hybrid of special holonomy and the "dielectric deformation" of the canonical supersymmetry projector on the M2-branes.

[ { "created": "Sat, 28 Feb 2004 10:01:01 GMT", "version": "v1" } ]

2007-05-23

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

We use the techniques of "algebraic Killing spinors" to obtain a family of holographic flow solutions with four supersymmetries in M-theory. The family of supersymmetric backgrounds constructed here includes the non-trivial flow to the (2+1)-dimensional analog of the Leigh-Strassler fixed point as well as generalizations that involve the M2-branes spreading in a radially symmetric fashion on the Coulomb branch of this non-trivial fixed point theory. In spreading out, these M2-branes also appear to undergo dielectric polarization into M5-branes. Our results naturally extend the earlier applications of the "algebraic Killing spinor" method and also generalize the harmonic Ansatz in that our entire family of new supersymmetric backgrounds is characterized by the solutions of a single, second-order, non-linear PDE. We also show that our solution is a natural hybrid of special holonomy and the "dielectric deformation" of the canonical supersymmetry projector on the M2-branes.

10.99352

10.736892

12.79147

10.847436

10.78455

10.907674

10.46314

10.762156

10.763383

13.083246

10.519082

10.671665

11.149576

10.342702

10.547903

10.718992

10.758162

10.457617

10.70515

11.464054

10.186393

hep-th/9803153

Hgirotti

H. O. Girotti

Canonical Quantization of the Self-Dual Model coupled to Fermions

16 pages, no special macros, no corrections in the paper

Int.J.Mod.Phys.A14:2495-2510,1999

10.1142/S0217751X99001238

null

hep-th

null

This paper is dedicated to formulate the interaction picture dynamics of the self-dual field minimally coupled to fermions. To make this possible, we start by quantizing the free self-dual model by means of the Dirac bracket quantization procedure. We obtain, as result, that the free self-dual model is a relativistically invariant quantum field theory whose excitations are identical to the physical (gauge invariant) excitations of the free Maxwell-Chern-Simons theory. The model describing the interaction of the self-dual field minimally coupled to fermions is also quantized through the Dirac bracket quantization procedure. One of the self-dual field components is found not to commute, at equal times, with the fermionic fields. Hence, the formulation of the interaction picture dynamics is only possible after the elimination of the just mentioned component. This procedure brings, in turns, two new interaction terms, which are local in space and time while non-renormalizable by power counting. Relativistic invariance is tested in connection with the elastic fermion-fermion scattering amplitude. We prove that all the non-covariant pieces in the interaction Hamiltonian are equivalent to the covariant minimal interaction of the self-dual field with the fermions. The high energy behavior of the self-dual field propagator corroborates that the coupled theory is non-renormalizable. Certainly, the self-dual field minimally coupled to fermions bears no resemblance with the renormalizable model defined by the Maxwell-Chern-Simons field minimally coupled to fermions.

[ { "created": "Thu, 19 Mar 1998 17:21:11 GMT", "version": "v1" } ]

2014-11-18

[ [ "Girotti", "H. O.", "" ] ]

This paper is dedicated to formulate the interaction picture dynamics of the self-dual field minimally coupled to fermions. To make this possible, we start by quantizing the free self-dual model by means of the Dirac bracket quantization procedure. We obtain, as result, that the free self-dual model is a relativistically invariant quantum field theory whose excitations are identical to the physical (gauge invariant) excitations of the free Maxwell-Chern-Simons theory. The model describing the interaction of the self-dual field minimally coupled to fermions is also quantized through the Dirac bracket quantization procedure. One of the self-dual field components is found not to commute, at equal times, with the fermionic fields. Hence, the formulation of the interaction picture dynamics is only possible after the elimination of the just mentioned component. This procedure brings, in turns, two new interaction terms, which are local in space and time while non-renormalizable by power counting. Relativistic invariance is tested in connection with the elastic fermion-fermion scattering amplitude. We prove that all the non-covariant pieces in the interaction Hamiltonian are equivalent to the covariant minimal interaction of the self-dual field with the fermions. The high energy behavior of the self-dual field propagator corroborates that the coupled theory is non-renormalizable. Certainly, the self-dual field minimally coupled to fermions bears no resemblance with the renormalizable model defined by the Maxwell-Chern-Simons field minimally coupled to fermions.

6.536348

6.190182

6.928717

6.025766

6.335063

6.246863

5.959373

5.984877

6.000419

7.381032

5.960308

6.017175

6.397867

6.208641

6.094369

6.172632

6.063473

6.126294

6.084022

6.261821

6.033208

1411.2594

Martin Sprenger

J. Bartels, V. Schomerus, M. Sprenger

The Bethe Roots of Regge Cuts in Strongly Coupled N=4 SYM Theory

42 pages, 9 figures

null

DESY 14-208

hep-th

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

We describe a general algorithm for the computation of the remainder function for n-gluon scattering in multi-Regge kinematics for strongly coupled planar N=4 super Yang-Mills theory. This regime is accessible through the infrared physics of an auxiliary quantum integrable system describing strings in AdS5xS5. Explicit formulas are presented for n=6 and n=7 external gluons. Our results are consistent with expectations from perturbative gauge theory. This paper comprises the technical details for the results announced in arXiv:1405.3658 .

[ { "created": "Mon, 10 Nov 2014 21:00:04 GMT", "version": "v1" } ]

2014-11-12

[ [ "Bartels", "J.", "" ], [ "Schomerus", "V.", "" ], [ "Sprenger", "M.", "" ] ]

We describe a general algorithm for the computation of the remainder function for n-gluon scattering in multi-Regge kinematics for strongly coupled planar N=4 super Yang-Mills theory. This regime is accessible through the infrared physics of an auxiliary quantum integrable system describing strings in AdS5xS5. Explicit formulas are presented for n=6 and n=7 external gluons. Our results are consistent with expectations from perturbative gauge theory. This paper comprises the technical details for the results announced in arXiv:1405.3658 .

8.660581

7.15588

8.074923

6.4009

6.722653

6.710875

7.137124

6.936009

6.872516

8.421919

7.462942

6.727637

6.939649

6.662255

6.318437

6.847303

6.556514

6.515545

6.510439

7.120971

6.946362

hep-th/0002027

Dan Freed

D. S. Freed, M. J. Hopkins

On Ramond-Ramond fields and K-theory

12 pages; final revision for publication in JHEP. References added and some minor clarifications as well

JHEP 0005 (2000) 044

10.1088/1126-6708/2000/05/044

null

hep-th math.DG

null

A recent paper by Moore and Witten explained that Ramond-Ramond fields in Type II superstring theory have a global meaning in K-theory. In this note we amplify and generalize some points raised in that paper. In particular, we express the coupling of the Ramond-Ramond fields to D-branes in a K-theoretic framework and show that the anomaly in this coupling exactly cancels the anomaly from the fermions on the brane, both in Type IIA and Type IIB.

[ { "created": "Thu, 3 Feb 2000 21:04:57 GMT", "version": "v1" }, { "created": "Wed, 1 Mar 2000 17:45:41 GMT", "version": "v2" }, { "created": "Wed, 14 Jun 2000 18:42:09 GMT", "version": "v3" } ]

2009-10-31

[ [ "Freed", "D. S.", "" ], [ "Hopkins", "M. J.", "" ] ]

A recent paper by Moore and Witten explained that Ramond-Ramond fields in Type II superstring theory have a global meaning in K-theory. In this note we amplify and generalize some points raised in that paper. In particular, we express the coupling of the Ramond-Ramond fields to D-branes in a K-theoretic framework and show that the anomaly in this coupling exactly cancels the anomaly from the fermions on the brane, both in Type IIA and Type IIB.

7.52188

5.462554

7.125531

5.693023

5.774279

5.357656

5.999602

5.974145

6.148346

7.252147

5.530624

5.439939

6.625464

5.859062

5.574201

5.642869

5.710932

5.885277

5.715943

6.708078

5.751498

1505.03238

Marcos Antonio Anacleto

M. A. Anacleto

Lorentz violation correction to the Aharonov-Bohm scattering

10 pages, 8 figures. To appear in PRD

null

hep-th

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

In this paper, using a (2+1)-dimensional field theory approach, we study the Aharonov-Bohm (AB) scattering with Lorentz symmetry breaking. We obtain the modified scattering amplitude to the AB effect due to the small Lorentz violation correction in the breaking parameter and prove that up to one loop the model is free from ultraviolet divergences.

[ { "created": "Wed, 13 May 2015 04:43:23 GMT", "version": "v1" }, { "created": "Mon, 5 Oct 2015 13:36:39 GMT", "version": "v2" } ]

2015-10-06

[ [ "Anacleto", "M. A.", "" ] ]

In this paper, using a (2+1)-dimensional field theory approach, we study the Aharonov-Bohm (AB) scattering with Lorentz symmetry breaking. We obtain the modified scattering amplitude to the AB effect due to the small Lorentz violation correction in the breaking parameter and prove that up to one loop the model is free from ultraviolet divergences.

8.652127

7.256426

8.596524

7.352728

7.780113

7.934423

7.734107

7.602223

7.582642

8.694598

7.183233

7.591989

8.154686

7.631978

7.442591

7.629887

7.742968

7.560594

7.682269

8.038024

7.283545

hep-th/9112057

Changrim Ahn

Changrim Ahn and Kazuyasu Shigemoto

One-Point Functions of Loops and Constraints Equations of the Multi-Matrix Models at finite N

12 pages

Phys.Lett. B285 (1992) 42-48

10.1016/0370-2693(92)91297-M

null

hep-th

null

We derive one-point functions of the loop operators of Hermitian matrix-chain models at finite $N$ in terms of differential operators acting on the partition functions. The differential operators are completely determined by recursion relations from the Schwinger-Dyson equations. Interesting observation is that these generating operators of the one-point functions satisfy $W_{1+\infty}$-like algebra. Also, we obtain constraint equations on the partition functions in terms of the differential operators. These constraint equations on the partition functions define the symmetries of the matrix models at off-critical point before taking the double scaling limit.

[ { "created": "Thu, 19 Dec 1991 21:43:15 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ahn", "Changrim", "" ], [ "Shigemoto", "Kazuyasu", "" ] ]

We derive one-point functions of the loop operators of Hermitian matrix-chain models at finite $N$ in terms of differential operators acting on the partition functions. The differential operators are completely determined by recursion relations from the Schwinger-Dyson equations. Interesting observation is that these generating operators of the one-point functions satisfy $W_{1+\infty}$-like algebra. Also, we obtain constraint equations on the partition functions in terms of the differential operators. These constraint equations on the partition functions define the symmetries of the matrix models at off-critical point before taking the double scaling limit.

10.32158

9.487594

11.52375

9.746408

9.444212

8.869209

9.400105

9.275281

9.120982

11.8961

8.802413

9.394245

10.275973

9.179687

9.781066

9.543856

9.777533

9.406081

9.564312

10.250313

9.368329

1412.0763

Bin Chen

Bin Chen and Jie-qiang Wu

Large Interval Limit of R\'enyi Entropy At High Temperature

35 pages with appendices (7 pages), 4 figures, comments are welcomed; improved arguments, major correction, results unchanged;numerical analysis to support our conclusion included, in match with the published version

Phys. Rev. D 92, 126002 (2015)

10.1103/PhysRevD.92.126002

null

hep-th

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

In this paper, we propose a novel expansion to compute the large interval limit of the R\'enyi entropy of 2D CFT at high temperature. Via the replica trick, the single interval R\'enyi entropy of 2D CFT at finite temperature could be read from the partition function on $n$-sheeted torus connected with each other along a branch cut. We calculate the partition function by inserting a complete basis across the branch cut. Because of the monodromy condition across the branch cut in the large interval limit, the basis of the states should be the ones in the twist sector. We study the twist sector of a general module of CFT and find that there is an one-to-one correspondence between the twist sector states and the normal sector states. As an application, we revisit the non-compact free scalar theory and discuss the large interval limit of the R\'enyi entropy of this theory by using our proposal. We find complete agreement in the leading and next-leading orders with direct expansion of the exact partition function. Moreover, we prove the relation (\ref{th}) between thermal entropy and the entanglement entropy for a generic CFT with discrete spectrum.

[ { "created": "Tue, 2 Dec 2014 02:49:10 GMT", "version": "v1" }, { "created": "Wed, 10 Dec 2014 10:04:23 GMT", "version": "v2" }, { "created": "Sat, 10 Jan 2015 09:53:00 GMT", "version": "v3" }, { "created": "Wed, 4 Mar 2015 09:04:40 GMT", "version": "v4" }, { "created": "Sat, 21 Nov 2015 06:45:08 GMT", "version": "v5" } ]

2015-12-16

[ [ "Chen", "Bin", "" ], [ "Wu", "Jie-qiang", "" ] ]

In this paper, we propose a novel expansion to compute the large interval limit of the R\'enyi entropy of 2D CFT at high temperature. Via the replica trick, the single interval R\'enyi entropy of 2D CFT at finite temperature could be read from the partition function on $n$-sheeted torus connected with each other along a branch cut. We calculate the partition function by inserting a complete basis across the branch cut. Because of the monodromy condition across the branch cut in the large interval limit, the basis of the states should be the ones in the twist sector. We study the twist sector of a general module of CFT and find that there is an one-to-one correspondence between the twist sector states and the normal sector states. As an application, we revisit the non-compact free scalar theory and discuss the large interval limit of the R\'enyi entropy of this theory by using our proposal. We find complete agreement in the leading and next-leading orders with direct expansion of the exact partition function. Moreover, we prove the relation (\ref{th}) between thermal entropy and the entanglement entropy for a generic CFT with discrete spectrum.

8.258509

7.416441

8.569098

7.960097

8.281968

7.623379

8.039645

7.251878

7.714608

9.599792

7.666965

7.591508

7.580356

7.500371

7.59573

7.772369

7.570276

7.548602

7.445552

7.711454

7.589417

1710.00918

Floris ter Braak

F. ter Braak, L. A. Ferreira, W. J. Zakrzewski

Quasi-integrability of deformations of the KdV equation

null

hep-th math-ph math.MP

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

We investigate the quasi-integrability properties of various deformations of the Korteweg-de Vries (KdV) equation, depending on two parameters $\varepsilon_1$ and $\varepsilon_2$, which include among them the regularized long-wave (RLW) and modified regularized long-wave (mRLW) equations. We show, using analytical and numerical methods, that the charges, constructed from a deformation of the zero curvature equation for the KdV equation, are asymptotically conserved for various values of the deformation parameters. By that we mean that, despite the fact that the charges do vary in time during the scattering of solitons, they return after the scattering to the same values they had before it. That property was tested numerically for the scattering of two and three solitons, and analytically for the scattering of two solitons in the mRLW theory ($\varepsilon_2=\varepsilon_1=1$). We also show that the Hirota method leads to analytical one-soliton solutions of our deformed equation for $\varepsilon_1 = 1$, and any value of $\varepsilon_2$. We also mention some properties of soliton-radiation interactions seen in some of our simulations.

[ { "created": "Mon, 2 Oct 2017 21:32:53 GMT", "version": "v1" } ]

2017-10-04

[ [ "ter Braak", "F.", "" ], [ "Ferreira", "L. A.", "" ], [ "Zakrzewski", "W. J.", "" ] ]

We investigate the quasi-integrability properties of various deformations of the Korteweg-de Vries (KdV) equation, depending on two parameters $\varepsilon_1$ and $\varepsilon_2$, which include among them the regularized long-wave (RLW) and modified regularized long-wave (mRLW) equations. We show, using analytical and numerical methods, that the charges, constructed from a deformation of the zero curvature equation for the KdV equation, are asymptotically conserved for various values of the deformation parameters. By that we mean that, despite the fact that the charges do vary in time during the scattering of solitons, they return after the scattering to the same values they had before it. That property was tested numerically for the scattering of two and three solitons, and analytically for the scattering of two solitons in the mRLW theory ($\varepsilon_2=\varepsilon_1=1$). We also show that the Hirota method leads to analytical one-soliton solutions of our deformed equation for $\varepsilon_1 = 1$, and any value of $\varepsilon_2$. We also mention some properties of soliton-radiation interactions seen in some of our simulations.

4.979655

4.735975

5.435955

4.832842

4.894198

4.817978

4.99262

4.806098

4.793774

5.368471

4.75625

5.032964

5.030973

4.935155

4.996183

4.977473

4.952807

5.032082

4.996059

5.039217

4.859399

0804.3675

Michael Duff

M. J. Duff

Near-horizon brane-scan revived

Version appearing in Nucl. Phys. B, including the near-horizon brane-scans for both heterotic and M/Type II toroidal compactifications

Nucl.Phys.B810:193-209,2009

10.1016/j.nuclphysb.2008.11.001

Imperial/TP/2008/mjd/2

hep-th

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

In 1987 two versions of the brane-scan of D-dimensional super p-branes were put forward. The first pinpointed those (p,D) slots consistent with kappa-symmetric Green-Schwarz type actions; the second generalized the "membrane at the end of the universe" idea to all those superconformal groups describing p-branes on the boundary of AdS_{p+2} x S^{D-p-2}. Although the second version predicted D3 and M5 branes in addition to those of the first, it came unstuck because the 1/2 BPS solitonic branes failed to exhibit the required symmetry enhancement in the near-horizon limit, except in the non-dilatonic cases (p=2,D=11), (p=3,D=10) and (p=5,D=11). Just recently, however, it has been argued that the fundamental D=10 heterotic string does indeed display a near-horizon enhancement to OSp(8|2) as predicted by the brane-scan, provided alpha' corrections are taken into account. If this logic could be extended to the other strings and branes, it would resolve this 21-year-old paradox and provide new AdS/CFT dualities, which we tabulate.

[ { "created": "Wed, 23 Apr 2008 11:48:57 GMT", "version": "v1" }, { "created": "Sat, 26 Apr 2008 08:29:35 GMT", "version": "v2" }, { "created": "Thu, 23 Oct 2008 07:50:13 GMT", "version": "v3" }, { "created": "Thu, 27 Nov 2008 14:43:52 GMT", "version": "v4" } ]

2009-01-14

[ [ "Duff", "M. J.", "" ] ]

In 1987 two versions of the brane-scan of D-dimensional super p-branes were put forward. The first pinpointed those (p,D) slots consistent with kappa-symmetric Green-Schwarz type actions; the second generalized the "membrane at the end of the universe" idea to all those superconformal groups describing p-branes on the boundary of AdS_{p+2} x S^{D-p-2}. Although the second version predicted D3 and M5 branes in addition to those of the first, it came unstuck because the 1/2 BPS solitonic branes failed to exhibit the required symmetry enhancement in the near-horizon limit, except in the non-dilatonic cases (p=2,D=11), (p=3,D=10) and (p=5,D=11). Just recently, however, it has been argued that the fundamental D=10 heterotic string does indeed display a near-horizon enhancement to OSp(8|2) as predicted by the brane-scan, provided alpha' corrections are taken into account. If this logic could be extended to the other strings and branes, it would resolve this 21-year-old paradox and provide new AdS/CFT dualities, which we tabulate.

7.622565

8.119653

8.72671

7.207376

8.138779

8.001572

7.570056

7.557195

7.868612

9.60002

7.413761

7.155706

7.796225

7.294294

7.205207

7.232031

7.191488

7.422631

7.227378

7.96291

7.172051

hep-th/0502067

Matej Pavsic

On an Alternative Approach to the Relation between Bosons and Fermions: Employing Clifford Space

7 pages

null

hep-th

null

We further explore the idea that physics takes place in Clifford space which should be considered as a generalization of spacetime. Following the old observation that spinors can be represented as members of left ideals of Clifford algebra, we point out that the transformations which mix bosons and fermions could be represented by means of operators acting on Clifford algebra-valued (polyvector) fields. A generic polyvector field can be expanded either in terms of bosonic, or in terms of fermionic fields. In particular, a scalar field can transform into a mixture of bosonic and/or fermionic fields.

[ { "created": "Mon, 7 Feb 2005 08:34:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Pavsic", "Matej", "" ] ]

We further explore the idea that physics takes place in Clifford space which should be considered as a generalization of spacetime. Following the old observation that spinors can be represented as members of left ideals of Clifford algebra, we point out that the transformations which mix bosons and fermions could be represented by means of operators acting on Clifford algebra-valued (polyvector) fields. A generic polyvector field can be expanded either in terms of bosonic, or in terms of fermionic fields. In particular, a scalar field can transform into a mixture of bosonic and/or fermionic fields.

10.559439

9.773453

9.096789

9.240089

9.302345

9.507916

9.226995

8.774782

8.855018

10.759966

8.974997

9.093588

9.68335

8.951943

8.829901

8.823153

8.748405

9.103589

9.154391

9.660309

9.094497

1203.6619

Raphael Bousso

Raphael Bousso, Stefan Leichenauer, Vladimir Rosenhaus

Light-sheets and AdS/CFT

29 pages, 12 figures. published version

Phys.Rev. D86 (2012) 046009

10.1103/PhysRevD.86.046009

null

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

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

One may ask whether the CFT restricted to a subset b of the AdS boundary has a well-defined dual restricted to a subset H(b) of the bulk geometry. The Poincare patch is an example, but more general choices of b can be considered. We propose a geometric construction of H. We argue that H should contain the set C of causal curves with both endpoints on b. Yet H should not reach so far from the boundary that the CFT has insufficient degrees of freedom to describe it. This can be guaranteed by constructing a superset of H from light-sheets off boundary slices and invoking the covariant entropy bound in the bulk. The simplest covariant choice is L, the intersection of L^+ and L^-, where L^+ (L^-) is the union of all future-directed (past-directed) light-sheets. We prove that C=L, so the holographic domain is completely determined by our assumptions: H=C=L. In situations where local bulk operators can be constructed on b, H is closely related to the set of bulk points where this construction remains unambiguous under modifications of the CFT Hamiltonian outside of b. Our construction leads to a covariant geometric RG flow. We comment on the description of black hole interiors and cosmological regions via AdS/CFT.

[ { "created": "Thu, 29 Mar 2012 18:25:19 GMT", "version": "v1" }, { "created": "Fri, 8 Jun 2012 07:12:11 GMT", "version": "v2" }, { "created": "Mon, 17 Sep 2012 03:47:59 GMT", "version": "v3" } ]

2015-03-20

[ [ "Bousso", "Raphael", "" ], [ "Leichenauer", "Stefan", "" ], [ "Rosenhaus", "Vladimir", "" ] ]

One may ask whether the CFT restricted to a subset b of the AdS boundary has a well-defined dual restricted to a subset H(b) of the bulk geometry. The Poincare patch is an example, but more general choices of b can be considered. We propose a geometric construction of H. We argue that H should contain the set C of causal curves with both endpoints on b. Yet H should not reach so far from the boundary that the CFT has insufficient degrees of freedom to describe it. This can be guaranteed by constructing a superset of H from light-sheets off boundary slices and invoking the covariant entropy bound in the bulk. The simplest covariant choice is L, the intersection of L^+ and L^-, where L^+ (L^-) is the union of all future-directed (past-directed) light-sheets. We prove that C=L, so the holographic domain is completely determined by our assumptions: H=C=L. In situations where local bulk operators can be constructed on b, H is closely related to the set of bulk points where this construction remains unambiguous under modifications of the CFT Hamiltonian outside of b. Our construction leads to a covariant geometric RG flow. We comment on the description of black hole interiors and cosmological regions via AdS/CFT.

11.901031

13.898354

13.507

12.216423

12.63096

13.069609

14.106673

12.3658

12.540905

14.450891

11.78678

11.73565

11.816442

11.211724

11.479636

11.662825

11.479686

11.425346

11.238209

11.937928

11.532196

2111.06514

Edward Witten

A Note On Complex Spacetime Metrics

28 pp, minor addition in v. 2

null

hep-th gr-qc

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

For various reasons, it seems necessary to include complex saddle points in the "Euclidean" path integral of General Relativity. But some sort of restriction on the allowed complex saddle points is needed to avoid various unphysical examples. In this article, a speculative proposal is made concerning a possible restriction on the allowed saddle points in the gravitational path integral. The proposal is motivated by recent work of Kontsevich and Segal on complex metrics in quantum field theory, and earlier work of Louko and Sorkin on topology change from a real time point of view.

[ { "created": "Fri, 12 Nov 2021 00:54:56 GMT", "version": "v1" }, { "created": "Fri, 11 Feb 2022 14:11:38 GMT", "version": "v2" } ]

2022-02-14

[ [ "Witten", "Edward", "" ] ]

For various reasons, it seems necessary to include complex saddle points in the "Euclidean" path integral of General Relativity. But some sort of restriction on the allowed complex saddle points is needed to avoid various unphysical examples. In this article, a speculative proposal is made concerning a possible restriction on the allowed saddle points in the gravitational path integral. The proposal is motivated by recent work of Kontsevich and Segal on complex metrics in quantum field theory, and earlier work of Louko and Sorkin on topology change from a real time point of view.

10.603761

8.59032

8.993435

7.919766

9.08586

7.911585

9.101956

9.386989

8.810409

9.161542

8.632968

8.833551

8.836077

8.659104

8.602888

8.640956

8.760991

8.573386

8.793879

8.758988

8.691333

1203.5355

Carlos A. R. Herdeiro

Fl\'avio S. Coelho, Carlos Herdeiro, Marco O. P. Sampaio

Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula

3 pages, 3 figures, Accepted in Physical Review Letters

null

10.1103/PhysRevLett.108.181102

null

hep-th gr-qc hep-ph

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

Recently, in arXiv:1105.2298 [hep-th], we have estimated the energy radiated in the head-on collision of two equal D-dimensional Aichelburg-Sexl shock waves, for even D, by solving perturbatively, to first order, the Einstein equations in the future of the collision. Here, we report on the solution for the odd D case. After finding the wave forms, we extract the estimated radiated energy for D=5,7,9 and 11 and unveil a remarkably simple pattern, given the complexity of the framework: (for all D) the estimated fraction of radiated energy matches the analytic expression 1/2-1/D, within the numerical error (less than 0.1%). Both this fit and the apparent horizon bound converge to 1/2 as D goes to infinity.

[ { "created": "Fri, 23 Mar 2012 21:00:01 GMT", "version": "v1" } ]

2015-06-04

[ [ "Coelho", "Flávio S.", "" ], [ "Herdeiro", "Carlos", "" ], [ "Sampaio", "Marco O. P.", "" ] ]

Recently, in arXiv:1105.2298 [hep-th], we have estimated the energy radiated in the head-on collision of two equal D-dimensional Aichelburg-Sexl shock waves, for even D, by solving perturbatively, to first order, the Einstein equations in the future of the collision. Here, we report on the solution for the odd D case. After finding the wave forms, we extract the estimated radiated energy for D=5,7,9 and 11 and unveil a remarkably simple pattern, given the complexity of the framework: (for all D) the estimated fraction of radiated energy matches the analytic expression 1/2-1/D, within the numerical error (less than 0.1%). Both this fit and the apparent horizon bound converge to 1/2 as D goes to infinity.

10.501489

9.534457

9.70189

9.436837

9.304299

9.998302

9.275374

9.427486

9.530403

9.775496

9.197048

9.571065

9.903191

10.046431

10.118398

9.530403

10.013477

9.86495

9.943917

10.277493

9.866006

0806.2775

Olaf Hohm

Nicolas Boulanger and Olaf Hohm

Non-linear parent action and dual gravity

15 pages, v2: version to appear in Phys.Rev.D, v3: typos corrected, footnote added after equations (3.31)-(3.32) with a reference to [7], v4: note added in introduction stating the equivalence of the field equations following from our action to those given previously by West in [7]

Phys.Rev.D78:064027,2008

10.1103/PhysRevD.78.064027

null

hep-th

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

We give a reformulation of non-linear Einstein gravity, which contains the dual graviton together with the ordinary metric and a shift gauge field. The metric does not enter through a `kinetic' Einstein-Hilbert term, but via topological couplings, and so the theory does not lead to a doubling of degrees of freedom. The field equations take the form of first-order duality relations. We analyze the gauge symmetries and comment on their meaning with regard to the E11 proposal.

[ { "created": "Tue, 17 Jun 2008 12:38:36 GMT", "version": "v1" }, { "created": "Tue, 12 Aug 2008 12:10:28 GMT", "version": "v2" }, { "created": "Tue, 21 Feb 2012 18:14:51 GMT", "version": "v3" }, { "created": "Sun, 29 Apr 2012 17:11:10 GMT", "version": "v4" } ]

2012-05-01

[ [ "Boulanger", "Nicolas", "" ], [ "Hohm", "Olaf", "" ] ]

We give a reformulation of non-linear Einstein gravity, which contains the dual graviton together with the ordinary metric and a shift gauge field. The metric does not enter through a `kinetic' Einstein-Hilbert term, but via topological couplings, and so the theory does not lead to a doubling of degrees of freedom. The field equations take the form of first-order duality relations. We analyze the gauge symmetries and comment on their meaning with regard to the E11 proposal.

14.410554

12.725013

14.421333

13.654472

13.334694

12.75703

12.361249

12.483171

12.107865

14.586493

12.194773

12.462753

13.149879

12.133174

12.722468

12.109109

12.265224

12.80984

12.713105

13.626637

12.300838

1611.01444

Prim Plansangkate

Skyrme fields, multi-instantons and the $SU(\infty)$-Toda equation

The previous version has been extended to include an investigation of the singularity of the Einstein-Weyl metric and a discussion on the Skyrme energy functional. The paper has been accepted for publication in Nonlinearity

null

hep-th gr-qc nlin.SI

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

We construct Skyrme fields from holonomy of the spin connection of multi-Taub-NUT instantons with the centres positioned along a line in $\mathbb{R}^3.$ Our family of Skyrme fields includes the Taub-NUT Skyrme field previously constructed by Dunajski. However, we demonstrate that different gauges of the spin connection can result in Skyrme fields with different topological degrees. As a by-product, we present a method to compute the degrees of the Taub-NUT and Atiyah-Hitchin Skyrme fields analytically; these degrees are well defined as a preferred gauge is fixed by the $SU(2)$ symmetry of the two metrics. Regardless of the gauge, the domain of our Skyrme fields is the space of orbits of the axial symmetry of the multi-Taub-NUT instantons. We obtain an expression for the induced Einstein-Weyl metric on the space and its associated solution to the $SU(\infty)$-Toda equation.

[ { "created": "Fri, 4 Nov 2016 16:28:41 GMT", "version": "v1" }, { "created": "Wed, 10 Oct 2018 15:38:09 GMT", "version": "v2" } ]

2018-10-11

[ [ "Plansangkate", "Prim", "" ] ]

We construct Skyrme fields from holonomy of the spin connection of multi-Taub-NUT instantons with the centres positioned along a line in $\mathbb{R}^3.$ Our family of Skyrme fields includes the Taub-NUT Skyrme field previously constructed by Dunajski. However, we demonstrate that different gauges of the spin connection can result in Skyrme fields with different topological degrees. As a by-product, we present a method to compute the degrees of the Taub-NUT and Atiyah-Hitchin Skyrme fields analytically; these degrees are well defined as a preferred gauge is fixed by the $SU(2)$ symmetry of the two metrics. Regardless of the gauge, the domain of our Skyrme fields is the space of orbits of the axial symmetry of the multi-Taub-NUT instantons. We obtain an expression for the induced Einstein-Weyl metric on the space and its associated solution to the $SU(\infty)$-Toda equation.

7.217688

7.48982

7.85535

7.199733

7.654614

7.814856

7.770974

7.173426

7.526219

8.09989

7.210718

7.851038

7.356417

7.15467

7.304388

7.512616

7.21322

7.319098

7.392549

7.57725

7.357466

hep-th/9411192

Robert W. Carroll

Robert Carroll (Mathematics Dept., University of Illinois, Urbana)

On relations between vertex operators, quasiclassical operators, and phase space coordinates

25 pages, latex (need only run once)

null

hep-th math.QA q-alg

null

For certain situations we give a geometrical background for quasiclassical KP calculations based on an explicit connection to quantum mechanics and the collapse of coherent states to coadjoint orbits for classical operators.

[ { "created": "Fri, 25 Nov 1994 19:55:31 GMT", "version": "v1" } ]

2008-02-03

[ [ "Carroll", "Robert", "", "Mathematics Dept., University of Illinois, Urbana" ] ]

For certain situations we give a geometrical background for quasiclassical KP calculations based on an explicit connection to quantum mechanics and the collapse of coherent states to coadjoint orbits for classical operators.

72.034515

58.019192

67.146721

52.203144

48.40873

41.300961

37.195927

53.304096

48.402325

65.934204

50.735977

41.962791

55.553387

45.156284

45.620323

44.373344

44.244591

46.707287

47.635014

55.822433

43.84325

1604.02346

Arpad Hegedus

Arpad Hegedus, Jozsef Konczer

Strong coupling results from the numerical solution of the quantum spectral curve

72 pages, 9 figures, 5 ancillary files

null

10.1007/JHEP08(2016)061

null

hep-th

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

In this paper, we solved numerically the Quantum Spectral Curve (QSC) equations corresponding to some twist-2 single trace operators with even spin from the $sl(2)$ sector of $AdS_5/CFT_4$ correspondence. We describe all technical details of the numerical method which are necessary to implement it in C++ language. In the $S=2,4,6,8$ cases, our numerical results confirm the analytical results, known in the literature for the first 4 coefficients of the strong coupling expansion for the anomalous dimensions of twist-2 operators. In the case of the Konishi operator, due to the high precision of the numerical data we could give numerical predictions to the values of two further coefficients, as well. The strong coupling behaviour of the coefficients $c_{a,n}$ in the power series representation of the ${\bf P}_{\!a}$-functions is also investigated. Based on our numerical data, in the regime, where the index of the coefficients is much smaller than $\lambda^{1/4}$, we conjecture that the coefficients have polynomial index dependence at strong coupling. This allows one to propose a strong coupling series representation for the ${\bf P}$-functions being valid far enough from the real short cut. In the paper the qualitative strong coupling behaviour of the ${\bf P}$-functions at the branch points is also discussed.

[ { "created": "Fri, 8 Apr 2016 13:13:19 GMT", "version": "v1" } ]

2016-09-21

[ [ "Hegedus", "Arpad", "" ], [ "Konczer", "Jozsef", "" ] ]

In this paper, we solved numerically the Quantum Spectral Curve (QSC) equations corresponding to some twist-2 single trace operators with even spin from the $sl(2)$ sector of $AdS_5/CFT_4$ correspondence. We describe all technical details of the numerical method which are necessary to implement it in C++ language. In the $S=2,4,6,8$ cases, our numerical results confirm the analytical results, known in the literature for the first 4 coefficients of the strong coupling expansion for the anomalous dimensions of twist-2 operators. In the case of the Konishi operator, due to the high precision of the numerical data we could give numerical predictions to the values of two further coefficients, as well. The strong coupling behaviour of the coefficients $c_{a,n}$ in the power series representation of the ${\bf P}_{\!a}$-functions is also investigated. Based on our numerical data, in the regime, where the index of the coefficients is much smaller than $\lambda^{1/4}$, we conjecture that the coefficients have polynomial index dependence at strong coupling. This allows one to propose a strong coupling series representation for the ${\bf P}$-functions being valid far enough from the real short cut. In the paper the qualitative strong coupling behaviour of the ${\bf P}$-functions at the branch points is also discussed.

8.047145

8.454594

9.435151

7.932724

8.270194

8.910304

8.413835

8.709157

8.26648

9.713035

8.288991

8.253371

8.287811

7.838821

8.029479

7.687713

7.906737

8.026776

7.780558

8.154706

8.094737

1511.02536

Pavel Krtous

Pavel Krtous, David Kubiznak, Valeri P. Frolov, Ivan Kolar

Deformed and twisted black holes with NUTs

22 pages

Class. Quantum Grav. 33 (2016) 115016

10.1088/0264-9381/33/11/115016

null

hep-th gr-qc

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

We construct a new class of vacuum black hole solutions whose geometry is deformed and twisted by the presence of NUT charges. The solutions are obtained by `unspinning' the general Kerr-NUT-(A)dS spacetimes, effectively switching off some of their rotation parameters. The resulting geometry has a structure of warped space with the Kerr-like Lorentzian part warped to a Euclidean metric of deformed and/or twisted sphere, with the deformation and twist characterized by the `Euclidean NUT' parameters. In the absence of NUTs, the solution reduces to a well known Kerr-(A)dS black hole with several rotations switched off. New geometries inherit the original symmetry of the Kerr-NUT-(A)dS family, namely, they possess the full Killing tower of hidden and explicit symmetries. As expected, for vanishing NUT, twist, and deformation parameters, the symmetry is further enlarged.

[ { "created": "Sun, 8 Nov 2015 22:06:12 GMT", "version": "v1" } ]

2018-07-18

[ [ "Krtous", "Pavel", "" ], [ "Kubiznak", "David", "" ], [ "Frolov", "Valeri P.", "" ], [ "Kolar", "Ivan", "" ] ]

We construct a new class of vacuum black hole solutions whose geometry is deformed and twisted by the presence of NUT charges. The solutions are obtained by `unspinning' the general Kerr-NUT-(A)dS spacetimes, effectively switching off some of their rotation parameters. The resulting geometry has a structure of warped space with the Kerr-like Lorentzian part warped to a Euclidean metric of deformed and/or twisted sphere, with the deformation and twist characterized by the `Euclidean NUT' parameters. In the absence of NUTs, the solution reduces to a well known Kerr-(A)dS black hole with several rotations switched off. New geometries inherit the original symmetry of the Kerr-NUT-(A)dS family, namely, they possess the full Killing tower of hidden and explicit symmetries. As expected, for vanishing NUT, twist, and deformation parameters, the symmetry is further enlarged.

9.699665

11.126693

10.094943

9.972111

10.952744

10.552757

11.945524

10.262365

10.790231

11.948661

10.038587

9.930536

9.868628

9.753147

10.023429

9.994551

10.218487

9.70245

9.889771

9.774911

9.71804

1608.08727

Sinya Aoki

Sinya Aoki, Etsuko Itou and Keitaro Nagata

Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization

21 pages, 4 figures

null

10.1142/S0217751X1650192X

YITP-16-96, KEK-CP-347, KEK-TH-1922

hep-th hep-lat

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

We study the entanglement entropy (EE) for pure gauge theories in 1+1 dimensions with the lattice regularization. Using the definition of the EE for lattice gauge theories proposed in a previous paper [1] (S. Aoki, T. Iritani, M. Nozaki, T. Numasawa, N. Shiba and H. Tasaki, JHEP 1506 (2015) 187), we calculate the EE for arbitrary pure as well as mixed states in terms of eigenstates of the transfer matrix in 1+1 dimensional lattice gauge theory. We find that the EE of an arbitrary pure state does not depend on the lattice spacing, thus giving the EE in the continuum limit, and show that the EE for an arbitrary pure state is independent of the real (Minkowski) time evolution. We also explicitly demonstrate the dependence of EE on the gauge fixing at the boundaries between two subspaces, which was pointed out for general cases in the paper [1]. In addition, we calculate the EE at zero as well as finite temperature by the replica method, and show that our result in the continuum limit corresponds to the result obtained before in the continuum theory, with a specific value of the counter term, which is otherwise arbitrary in the continuum calculation. We confirm the gauge dependence of the EE also for the replica method.

[ { "created": "Wed, 31 Aug 2016 04:58:59 GMT", "version": "v1" } ]

2017-01-04

[ [ "Aoki", "Sinya", "" ], [ "Itou", "Etsuko", "" ], [ "Nagata", "Keitaro", "" ] ]

We study the entanglement entropy (EE) for pure gauge theories in 1+1 dimensions with the lattice regularization. Using the definition of the EE for lattice gauge theories proposed in a previous paper [1] (S. Aoki, T. Iritani, M. Nozaki, T. Numasawa, N. Shiba and H. Tasaki, JHEP 1506 (2015) 187), we calculate the EE for arbitrary pure as well as mixed states in terms of eigenstates of the transfer matrix in 1+1 dimensional lattice gauge theory. We find that the EE of an arbitrary pure state does not depend on the lattice spacing, thus giving the EE in the continuum limit, and show that the EE for an arbitrary pure state is independent of the real (Minkowski) time evolution. We also explicitly demonstrate the dependence of EE on the gauge fixing at the boundaries between two subspaces, which was pointed out for general cases in the paper [1]. In addition, we calculate the EE at zero as well as finite temperature by the replica method, and show that our result in the continuum limit corresponds to the result obtained before in the continuum theory, with a specific value of the counter term, which is otherwise arbitrary in the continuum calculation. We confirm the gauge dependence of the EE also for the replica method.

6.443794

7.096695

7.709011

6.589225

7.365164

7.305554

7.321137

6.812752

7.346005

8.331153

6.369898

6.126515

6.557073

6.128534

6.306343

6.035606

6.172522

6.370595

6.227941

6.66402

6.09501

1406.7286

Thomas Zojer

Eric Bergshoeff, Joaquim Gomis, Marija Kovacevic, Lorena Parra, Jan Rosseel, Thomas Zojer

The Non-Relativistic Superparticle in a Curved Background

36 pages; v2: added references; v3: more refs; matches published version

Phys. Rev. D 90, 065006 (2014)

10.1103/PhysRevD.90.065006

UG-14-14, ICCUB-14-052, TUW-14-09

hep-th

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

Using a component formulation, we construct the supersymmetric action for a superparticle in a three-dimensional Newton-Cartan supergravity background and clarify its symmetries. Our construction proceeds by first constructing the superparticle in a flat background. Next, by boosting up the background symmetries, we replace in a first step the flat background by a Galilean supergravity background. In a second step the Galilean supergravity background is replaced by a Newton-Cartan supergravity background. We extend our results by adding a supersymmetric cosmological constant and compare the non-relativistic superparticle with the relativistic kappa-symmetric three-dimensional superparticle.

[ { "created": "Fri, 27 Jun 2014 19:57:27 GMT", "version": "v1" }, { "created": "Wed, 9 Jul 2014 13:38:50 GMT", "version": "v2" }, { "created": "Mon, 8 Sep 2014 14:13:14 GMT", "version": "v3" } ]

2014-09-10

[ [ "Bergshoeff", "Eric", "" ], [ "Gomis", "Joaquim", "" ], [ "Kovacevic", "Marija", "" ], [ "Parra", "Lorena", "" ], [ "Rosseel", "Jan", "" ], [ "Zojer", "Thomas", "" ] ]

Using a component formulation, we construct the supersymmetric action for a superparticle in a three-dimensional Newton-Cartan supergravity background and clarify its symmetries. Our construction proceeds by first constructing the superparticle in a flat background. Next, by boosting up the background symmetries, we replace in a first step the flat background by a Galilean supergravity background. In a second step the Galilean supergravity background is replaced by a Newton-Cartan supergravity background. We extend our results by adding a supersymmetric cosmological constant and compare the non-relativistic superparticle with the relativistic kappa-symmetric three-dimensional superparticle.

7.499389

6.419142

7.841034

6.382635

6.353516

6.080711

7.020209

6.670636

6.336232

7.957507

6.499219

6.610976

7.332243

6.673392

6.690484

6.752646

6.782511

6.731689

6.695451

7.24219

6.494708

hep-th/0001011

Tsunehide Kuroki

Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models

15 pages, LaTeX, no figures, arguments on the action and symmetry are improved

Phys.Lett. B481 (2000) 97-106

10.1016/S0370-2693(00)00418-4

KEK Preprint 99-160

hep-th

null

It is known that when there are several D-branes, their space-time coordinates in general become noncommutative. From the point of view of noncommutative geometry, it reflects noncommutativity of the world volume of the D-branes. On the other hand, as we showed in the previous work, in the presence of the constant antisymmetric tensor field the momentum operators of the D-branes have noncommutative structure. In the present paper, we investigate a relation between these noncommutativities and the description of D-branes in terms of the noncommutative Yang-Mills theory recently proposed by Seiberg and Witten. It is shown that the noncommutativity of the Yang-Mills theory, which implies that of the world volume coordinates, originates from both noncommutativities of the transverse coordinates and momenta from the viewpoint of the lower-dimensional D-branes. Moreover, we show that this noncommutativity is transformed by coordinate transformations on the world volume and thereby can be chosen in an arbitrary fixed value. We also make a brief comment on a relation between this fact and a hidden symmetry of the IIB matrix models.

[ { "created": "Tue, 4 Jan 2000 08:31:13 GMT", "version": "v1" }, { "created": "Tue, 11 Jan 2000 07:45:53 GMT", "version": "v2" }, { "created": "Fri, 14 Jan 2000 13:10:30 GMT", "version": "v3" } ]

2009-10-31

[ [ "Kuroki", "Tsunehide", "" ] ]

It is known that when there are several D-branes, their space-time coordinates in general become noncommutative. From the point of view of noncommutative geometry, it reflects noncommutativity of the world volume of the D-branes. On the other hand, as we showed in the previous work, in the presence of the constant antisymmetric tensor field the momentum operators of the D-branes have noncommutative structure. In the present paper, we investigate a relation between these noncommutativities and the description of D-branes in terms of the noncommutative Yang-Mills theory recently proposed by Seiberg and Witten. It is shown that the noncommutativity of the Yang-Mills theory, which implies that of the world volume coordinates, originates from both noncommutativities of the transverse coordinates and momenta from the viewpoint of the lower-dimensional D-branes. Moreover, we show that this noncommutativity is transformed by coordinate transformations on the world volume and thereby can be chosen in an arbitrary fixed value. We also make a brief comment on a relation between this fact and a hidden symmetry of the IIB matrix models.

5.765329

5.55099

6.001546

5.129205

5.591051

5.716731

5.698132

5.552039

5.48884

6.374412

5.259675

5.480733

5.795937

5.578726

5.644107

5.621741

5.536925

5.523179

5.645583

5.681993

5.448687

1812.11084

Dmitri Kazakov

D. I. Kazakov, L. V. Bork, A. T. Borlakov, D. M. Tolkachev, and D. E. Vlasenko

High Energy Behaviour in Maximally Supersymmetric Gauge Theories in Various Dimensions

37 pages, 13 figures, PDFLatex. arXiv admin note: text overlap with arXiv:1610.05549, arXiv:1508.05570

null

hep-th

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

Maximally supersymmetric field theories in various dimensions are believed to possess special properties due to extended supersymmetry. In four dimensions they are free from UV divergences but are IR divergent on shell, in higher dimensions, on the contrary, they are IR finite but UV divergent. In what follows we consider the four-point on-shell scattering amplitudes in D=6,8,10 supersymmetric Yang-Mills theory in the planar limit within the spinor-helicity and on shell supersymmetric formalism. We study the UV divergences and demonstrate how one can sum them over all orders of PT. Analyzing the R-operation we obtain the recursive relations and derive differential equations that sum all leading, subleading, etc., divergences in all loops generalizing the standard RG formalism for the case of nonrenormalizable interactions. We then perform the renormalization procedure which differs from the ordinary one in that the renormalization constant becomes the operator depending on kinematics. Solving the obtained RG equations for particular sets of diagrams analytically and for the general case numerically, we analyze their high energy behaviour and find out that while each term of PT increases as a power of energy the total sum behaves differently: in D=6 two partial amplitudes decrease with energy and the third one increases exponentially, while in D=8 and 10 the amplitudes possess an infinite number of periodic poles at finite energy.

[ { "created": "Mon, 24 Dec 2018 13:31:23 GMT", "version": "v1" }, { "created": "Thu, 24 Jan 2019 08:39:30 GMT", "version": "v2" } ]

2019-01-25

[ [ "Kazakov", "D. I.", "" ], [ "Bork", "L. V.", "" ], [ "Borlakov", "A. T.", "" ], [ "Tolkachev", "D. M.", "" ], [ "Vlasenko", "D. E.", "" ] ]

Maximally supersymmetric field theories in various dimensions are believed to possess special properties due to extended supersymmetry. In four dimensions they are free from UV divergences but are IR divergent on shell, in higher dimensions, on the contrary, they are IR finite but UV divergent. In what follows we consider the four-point on-shell scattering amplitudes in D=6,8,10 supersymmetric Yang-Mills theory in the planar limit within the spinor-helicity and on shell supersymmetric formalism. We study the UV divergences and demonstrate how one can sum them over all orders of PT. Analyzing the R-operation we obtain the recursive relations and derive differential equations that sum all leading, subleading, etc., divergences in all loops generalizing the standard RG formalism for the case of nonrenormalizable interactions. We then perform the renormalization procedure which differs from the ordinary one in that the renormalization constant becomes the operator depending on kinematics. Solving the obtained RG equations for particular sets of diagrams analytically and for the general case numerically, we analyze their high energy behaviour and find out that while each term of PT increases as a power of energy the total sum behaves differently: in D=6 two partial amplitudes decrease with energy and the third one increases exponentially, while in D=8 and 10 the amplitudes possess an infinite number of periodic poles at finite energy.

8.739391

8.453224

9.085182

8.422276

8.556561

8.520713

9.005611

8.159965

8.064189

9.658536

8.295879

8.327221

8.363243

8.510373

8.800166

8.383447

8.587596

8.497632

8.444438

8.423944

8.520615

1707.02004

A. Emir Gumrukcuoglu

A. Emir Gumrukcuoglu, Kazuya Koyama, Shinji Mukohyama

Stable cosmology in ghost-free quasidilaton theory

12 pages

Phys. Rev. D 96, 044041 (2017)

10.1103/PhysRevD.96.044041

Imperial-TP-2017-AEG-1, YITP-17-66, IPMU17-0096

hep-th astro-ph.CO gr-qc

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

We present a novel cosmological solution in the framework of extended quasidilaton theory which underwent scrutiny recently. We only consider terms that do not generate the Boulware-Deser degree of freedom, hence the "ghost-free" quasidilaton theory, and show three new branches of cosmological evolution therein. One of the solutions passes the perturbative stability tests. This new solution exhibits a late time self-acceleration and all graviton polarizations acquire masses that converge to a constant in the asymptotic future. Moreover, all modes propagate at the speed of light. We propose that this solution can be used as a benchmark model for future phenomenological studies.

[ { "created": "Fri, 7 Jul 2017 00:36:41 GMT", "version": "v1" } ]

2017-09-06

[ [ "Gumrukcuoglu", "A. Emir", "" ], [ "Koyama", "Kazuya", "" ], [ "Mukohyama", "Shinji", "" ] ]

We present a novel cosmological solution in the framework of extended quasidilaton theory which underwent scrutiny recently. We only consider terms that do not generate the Boulware-Deser degree of freedom, hence the "ghost-free" quasidilaton theory, and show three new branches of cosmological evolution therein. One of the solutions passes the perturbative stability tests. This new solution exhibits a late time self-acceleration and all graviton polarizations acquire masses that converge to a constant in the asymptotic future. Moreover, all modes propagate at the speed of light. We propose that this solution can be used as a benchmark model for future phenomenological studies.

12.342601

11.379964

11.90577

10.53611

10.820868

10.531218

11.241875

10.771883

11.230157

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12.224723

11.296475

11.338077

10.838311

11.432133

11.279375

11.293655

11.497898

11.556805

11.78346

hep-th/0206126

Sergey Krivonos

S. Bellucci, E. Ivanov, S. Krivonos

AdS/CFT Equivalence Transformation

LaTeX, 19 pages, minor correction in Abstract

Phys.Rev.D66:086001,2002; Erratum-ibid.D67:049901,2003

10.1103/PhysRevD.66.086001 10.1103/PhysRevD.67.049901

null

hep-th

null

We show that any conformal field theory in d-dimensional Minkowski space, in a phase with spontaneously broken conformal symmetry and with the dilaton among its fields, can be rewritten in terms of the static gauge (d-1)-brane on AdS_(d+1) by means of an invertible change of variables. This nonlinear holographic transformation maps the Minkowski space coordinates onto the brane worldvolume ones and the dilaton onto the transverse AdS brane coordinate. One of the consequences of the existence of this map is that any (d-1)-brane worldvolume action on AdS_(d+1)\times X^m (with X^m standing for the sphere S^m or more complicated curved manifold) admits an equivalent description in Minkowski space as a nonlinear and higher-derivative extension of some conventional conformal field theory action, with the conformal group being realized in a standard way. The holographic transformation explicitly relates the standard realization of the conformal group to its field-dependent nonlinear realization as the isometry group of the brane AdS_(d+1) background. Some possible implications of this transformation, in particular, for the study of the quantum effective action of N=4 super Yang-Mills theory in the context of AdS/CFT correspondence, are briefly discussed.

[ { "created": "Mon, 17 Jun 2002 19:22:58 GMT", "version": "v1" }, { "created": "Thu, 18 Jul 2002 08:30:11 GMT", "version": "v2" }, { "created": "Wed, 18 Dec 2002 14:48:21 GMT", "version": "v3" } ]

2014-11-18

[ [ "Bellucci", "S.", "" ], [ "Ivanov", "E.", "" ], [ "Krivonos", "S.", "" ] ]

We show that any conformal field theory in d-dimensional Minkowski space, in a phase with spontaneously broken conformal symmetry and with the dilaton among its fields, can be rewritten in terms of the static gauge (d-1)-brane on AdS_(d+1) by means of an invertible change of variables. This nonlinear holographic transformation maps the Minkowski space coordinates onto the brane worldvolume ones and the dilaton onto the transverse AdS brane coordinate. One of the consequences of the existence of this map is that any (d-1)-brane worldvolume action on AdS_(d+1)\times X^m (with X^m standing for the sphere S^m or more complicated curved manifold) admits an equivalent description in Minkowski space as a nonlinear and higher-derivative extension of some conventional conformal field theory action, with the conformal group being realized in a standard way. The holographic transformation explicitly relates the standard realization of the conformal group to its field-dependent nonlinear realization as the isometry group of the brane AdS_(d+1) background. Some possible implications of this transformation, in particular, for the study of the quantum effective action of N=4 super Yang-Mills theory in the context of AdS/CFT correspondence, are briefly discussed.

6.469341

6.424051

7.162297

6.138059

6.583004

6.674918

6.360547

6.547745

6.500963

7.456722

6.339278

6.480472

6.527751

6.494691

6.401979

6.390395

6.537842

6.302146

6.312701

6.835734

6.220458

2404.02971

Ling-Xiao Xu

Luca Ciambriello, Roberto Contino, Ling-Xiao Xu

On the Proof of Chiral Symmetry Breaking through Anomaly Matching in QCD-like Theories: An Exemplification

53 pages, many equations, companion paper of arXiv:hep-th/2212.02930 and another paper that appears simultaneously

null

hep-th hep-lat hep-ph

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

Our recent works revisit the proof of chiral symmetry breaking in the confining phase of four-dimensional QCD-like theories, i.e. $SU(N_c)$ gauge theories with $N_f$ flavors of vectorlike quarks in the fundamental representation. The analysis relies on the structure of 't Hooft anomaly matching and persistent mass conditions for theories with same $N_c$ and different $N_f$. In this paper, we work out concrete examples with $N_c=3$ and $N_c=5$ to support and elucidate the results in the companion papers. Within the same examples, we also test some claims made in earlier works.

[ { "created": "Wed, 3 Apr 2024 18:00:12 GMT", "version": "v1" } ]

2024-04-05

[ [ "Ciambriello", "Luca", "" ], [ "Contino", "Roberto", "" ], [ "Xu", "Ling-Xiao", "" ] ]

Our recent works revisit the proof of chiral symmetry breaking in the confining phase of four-dimensional QCD-like theories, i.e. $SU(N_c)$ gauge theories with $N_f$ flavors of vectorlike quarks in the fundamental representation. The analysis relies on the structure of 't Hooft anomaly matching and persistent mass conditions for theories with same $N_c$ and different $N_f$. In this paper, we work out concrete examples with $N_c=3$ and $N_c=5$ to support and elucidate the results in the companion papers. Within the same examples, we also test some claims made in earlier works.

9.126009

7.806131

9.329889

8.031407

8.466329

8.006835

8.442743

7.514717

8.463179

9.081735

8.258703

7.881617

8.495521

7.905841

8.082531

7.986092

8.020525

7.890884

7.967996

8.788632

8.104589

1810.03557

Nicholas Stephen Manton

N.S. Manton

Forces between Kinks and Antikinks with Long-range Tails

23 pages, 3 figures. Revised version with new figures. Incorporates arXiv preprint 1810.00788, and compares Kink-Kink and Kink-Antikink forces. Accepted Manuscript version accepted for publication in J. Phys. A: Mathematical and Theoretical

null

10.1088/1751-8121/aaf9d1

DAMTP-2018-39

hep-th

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

In a scalar field theory with a symmetric octic potential having a quartic minimum and two quadratic minima, kink solutions have long-range tails. We calculate the force between two kinks and between a kink and an antikink when their long-range tails overlap. This is a nonlinear problem, solved using an adiabatic ansatz for the accelerating kinks that leads to a modified, first-order Bogomolny equation. We find that the kink-kink force is repulsive and decays with the fourth power of the kink separation. The kink-antikink force is attractive and decays similarly. Remarkably, the kink-kink repulsion has four times the strength of the kink-antikink attraction.

[ { "created": "Mon, 8 Oct 2018 16:16:52 GMT", "version": "v1" }, { "created": "Wed, 19 Dec 2018 17:20:54 GMT", "version": "v2" } ]

2019-01-30

[ [ "Manton", "N. S.", "" ] ]

In a scalar field theory with a symmetric octic potential having a quartic minimum and two quadratic minima, kink solutions have long-range tails. We calculate the force between two kinks and between a kink and an antikink when their long-range tails overlap. This is a nonlinear problem, solved using an adiabatic ansatz for the accelerating kinks that leads to a modified, first-order Bogomolny equation. We find that the kink-kink force is repulsive and decays with the fourth power of the kink separation. The kink-antikink force is attractive and decays similarly. Remarkably, the kink-kink repulsion has four times the strength of the kink-antikink attraction.

5.897182

5.577701

5.998659

5.760715

6.104848

5.967484

5.661346

5.573354

5.474422

6.25127

5.588099

5.594954

5.680378

5.63767

5.695822

5.863776

5.521924

5.773421

5.583221

5.907419

5.460494

1404.4593

Ahmed Jellal

Abdeldjalil Merdaci, Ahmed Jellal, Lyazid Chetouani

Path Integral Confined Dirac Fermions in a Constant Magnetic Field

19 pages, 2 tables

Int. J. Mod. Phys. A 30, 1550174 (2015)

10.1142/S0217751X15501742

null

hep-th quant-ph

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

We consider Dirac fermion confined in harmonic potential and submitted to a constant magnetic field. The corresponding solutions of the energy spectrum are obtained by using the path integral techniques. For this, we begin by establishing a symmetric global projection, which provides a symmetric form for the Green function. Based on this, we show that it is possible to end up with the propagator of the harmonic oscillator for one charged particle. After some transformations, we derive the normalized wave functions and the eigenvalues in terms of different physical parameters and quantum numbers. By interchanging quantum numbers, we show that our solutions possed interesting properties. The density of current and the non-relativistic limit are analyzed where different conclusions are obtained.

[ { "created": "Thu, 17 Apr 2014 18:01:24 GMT", "version": "v1" }, { "created": "Thu, 5 May 2016 10:19:21 GMT", "version": "v2" } ]

2016-05-06

[ [ "Merdaci", "Abdeldjalil", "" ], [ "Jellal", "Ahmed", "" ], [ "Chetouani", "Lyazid", "" ] ]

We consider Dirac fermion confined in harmonic potential and submitted to a constant magnetic field. The corresponding solutions of the energy spectrum are obtained by using the path integral techniques. For this, we begin by establishing a symmetric global projection, which provides a symmetric form for the Green function. Based on this, we show that it is possible to end up with the propagator of the harmonic oscillator for one charged particle. After some transformations, we derive the normalized wave functions and the eigenvalues in terms of different physical parameters and quantum numbers. By interchanging quantum numbers, we show that our solutions possed interesting properties. The density of current and the non-relativistic limit are analyzed where different conclusions are obtained.

15.111629

15.028161

16.262615

15.172948

15.27763

16.176523

15.82194

14.48511

14.788725

17.102722

14.81587

14.539723

15.67067

14.626057

14.53083

14.902596

14.480898

14.40602

14.616696

15.14591

14.261662

0704.2840

Damiano Anselmi

Damiano Anselmi and Anna Benini

Improved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants

18 pages

JHEP0710:099,2007

10.1088/1126-6708/2007/10/099

IFUP-TH 2007-8

hep-th

null

We consider higher-derivative perturbations of quantum gravity and quantum field theories in curved space and investigate tools to calculate counterterms and short-distance expansions of Feynman diagrams. In the case of single higher-derivative insertions we derive a closed formula that relates the perturbed one-loop counterterms to the unperturbed Schwinger-DeWitt coefficients. In the more general case, we classify the contributions to the short-distance expansion and outline a number of simplification methods. Certain difficulties of the common differential technique in the presence of higher-derivative perturbations are avoided by a systematic use of the Campbell-Baker-Hausdorff formula, which in some cases reduces the computational effort considerably.

[ { "created": "Sun, 22 Apr 2007 16:30:14 GMT", "version": "v1" }, { "created": "Fri, 2 Nov 2007 14:31:22 GMT", "version": "v2" } ]

2008-11-26

[ [ "Anselmi", "Damiano", "" ], [ "Benini", "Anna", "" ] ]

We consider higher-derivative perturbations of quantum gravity and quantum field theories in curved space and investigate tools to calculate counterterms and short-distance expansions of Feynman diagrams. In the case of single higher-derivative insertions we derive a closed formula that relates the perturbed one-loop counterterms to the unperturbed Schwinger-DeWitt coefficients. In the more general case, we classify the contributions to the short-distance expansion and outline a number of simplification methods. Certain difficulties of the common differential technique in the presence of higher-derivative perturbations are avoided by a systematic use of the Campbell-Baker-Hausdorff formula, which in some cases reduces the computational effort considerably.

8.543269

8.404217

8.535865

8.861561

9.135491

9.484932

9.366785

8.171215

8.433106

9.624407

8.480254

8.4123

8.79426

8.37174

8.4417

8.671618

8.47858

8.560321

8.158333

8.740431

8.306772

1906.10281

Steven Gubser

Steven S. Gubser, Christian B. Jepsen, Ziming Ji, Brian Trundy, and Amos Yarom

Non-local non-linear sigma models

45 pages, 4 figures

null

10.1007/JHEP09(2019)005

PUPT-2592

hep-th

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

We study non-local non-linear sigma models in arbitrary dimension, focusing on the scale invariant limit in which the scalar fields naturally have scaling dimension zero, so that the free propagator is logarithmic. The classical action is a bi-local integral of the square of the arc length between points on the target manifold. One-loop divergences can be canceled by introducing an additional bi-local term in the action, proportional to the target space laplacian of the square of the arc length. The metric renormalization that one encounters in the two-derivative non-linear sigma model is absent in the non-local case. In our analysis, the target space manifold is assumed to be smooth and Archimedean; however, the base space may be either Archimedean or ultrametric. We comment on the relation to higher derivative non-linear sigma models and speculate on a possible application to the dynamics of M2-branes.

[ { "created": "Tue, 25 Jun 2019 00:37:53 GMT", "version": "v1" } ]

2019-10-02

[ [ "Gubser", "Steven S.", "" ], [ "Jepsen", "Christian B.", "" ], [ "Ji", "Ziming", "" ], [ "Trundy", "Brian", "" ], [ "Yarom", "Amos", "" ] ]

We study non-local non-linear sigma models in arbitrary dimension, focusing on the scale invariant limit in which the scalar fields naturally have scaling dimension zero, so that the free propagator is logarithmic. The classical action is a bi-local integral of the square of the arc length between points on the target manifold. One-loop divergences can be canceled by introducing an additional bi-local term in the action, proportional to the target space laplacian of the square of the arc length. The metric renormalization that one encounters in the two-derivative non-linear sigma model is absent in the non-local case. In our analysis, the target space manifold is assumed to be smooth and Archimedean; however, the base space may be either Archimedean or ultrametric. We comment on the relation to higher derivative non-linear sigma models and speculate on a possible application to the dynamics of M2-branes.

8.400587

9.100178

9.588264

8.708807

9.279332

9.042952

9.073309

8.312754

8.622689

10.419368

7.818275

8.339887

8.416965

7.979458

8.081914

8.136041

8.415034

8.059518

8.24457

8.464363

7.799639

hep-th/9601056

Matthias Doerrzapf

Analytic Expressions for Singular Vectors of the $N=2$ Superconformal Algebra

35 pages, LATEX

Commun.Math.Phys. 180 (1996) 195-232

10.1007/BF02101186

DAMTP 94-53

hep-th

null

Using explicit expressions for a class of singular vectors of the $N=2$ (untwisted) algebra and following the approach of Malikov-Feigin-Fuchs and Kent, we show that the analytically extended Verma modules contain two linearly independent neutral singular vectors at the same grade. We construct this two dimensional space and we identify the singular vectors of the original Verma modules. We show that in some Verma modules these expressions lead to two linearly independent singular vectors which are at the same grade and have the same charge.

[ { "created": "Thu, 11 Jan 1996 19:51:23 GMT", "version": "v1" } ]

2009-10-30

[ [ "Doerrzapf", "Matthias", "" ] ]

Using explicit expressions for a class of singular vectors of the $N=2$ (untwisted) algebra and following the approach of Malikov-Feigin-Fuchs and Kent, we show that the analytically extended Verma modules contain two linearly independent neutral singular vectors at the same grade. We construct this two dimensional space and we identify the singular vectors of the original Verma modules. We show that in some Verma modules these expressions lead to two linearly independent singular vectors which are at the same grade and have the same charge.

12.77769

10.702381

14.319473

10.206205

10.758436

10.147026

10.49027

9.775722

10.128001

17.539927

10.206018

10.154416

12.473109

10.881467

11.120671

11.130766

10.951331

10.802687

10.542069

12.162264

10.727982

1604.05183

Adel Rezaei-Aghdam

M. Aali-Javanangrouh and A. Rezaei-Aghdam

M2 to D2 and vice versa by 3-Lie and Lie bialgebra

13 pages

Eur. Phys. J. C 76 (2016) 632

10.1140/epjc/s10052-016-4477-y

null

hep-th

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

Using the concept of 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475, we construct Bagger-Lambert-Gustavson (BLG) model for M2-brane on Manin triple of a special 3-Lie bialgebra. Then by using the correspondence and relation between those 3-Lie bialgebra with Lie bialgebra, we reduce this model to an $N=(4,4)$ WZW model (D2-brane), such that, its algebraic structure is a Lie bialgebra with one 2-cocycle. In this manner by using correspondence of 3-Lie bialgebra and Lie bialgebra (for this special 3-Lie algebra) one can construct M2-brane from a D2-brane and vice versa.

[ { "created": "Mon, 18 Apr 2016 14:42:06 GMT", "version": "v1" }, { "created": "Mon, 20 Jun 2016 10:49:15 GMT", "version": "v2" }, { "created": "Tue, 29 Nov 2016 13:42:04 GMT", "version": "v3" } ]

2016-12-21

[ [ "Aali-Javanangrouh", "M.", "" ], [ "Rezaei-Aghdam", "A.", "" ] ]

Using the concept of 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475, we construct Bagger-Lambert-Gustavson (BLG) model for M2-brane on Manin triple of a special 3-Lie bialgebra. Then by using the correspondence and relation between those 3-Lie bialgebra with Lie bialgebra, we reduce this model to an $N=(4,4)$ WZW model (D2-brane), such that, its algebraic structure is a Lie bialgebra with one 2-cocycle. In this manner by using correspondence of 3-Lie bialgebra and Lie bialgebra (for this special 3-Lie algebra) one can construct M2-brane from a D2-brane and vice versa.

7.510626

6.814891

8.49174

6.656775

6.970421

6.335427

6.779685

6.412628

6.716988

8.13212

6.618284

7.008338

7.248763

6.911139

6.750428

6.666037

6.774002

6.75388

6.888651

7.22048

6.612469

hep-th/0404117

Midodashvili Pavle

P.Midodashvili

Fermions on the brane in 6D with nonsingular exponential scale factors

6 pages, revtex4,new section added, explicit forms of wavefunctions and of source functions added,corrected typos

Europhys.Lett. 69 (2005) 346-352

10.1209/epl/i2004-10360-9

null

hep-th

null

We introduce new realistic brane-solutions with exponential scale factors in the 6D-space-time. We show that for these solutions the zero modes of all bulk fields are sharply localized at different positions on the brane and have "Gaussian shape" wave-functions in the extra space. We also explicitly show that in the model there are cases when exactly three fermion generations naturally arise only through gravity. Because of localized fermion modes are also stuck at different positions in the extra space, there is possibility to provide a framework for natural explaining the fermion mass hierarchy in terms of higher dimensional geography.

[ { "created": "Sat, 17 Apr 2004 14:49:59 GMT", "version": "v1" }, { "created": "Wed, 8 Sep 2004 16:41:31 GMT", "version": "v2" }, { "created": "Sat, 20 Nov 2004 17:36:16 GMT", "version": "v3" } ]

2009-11-10

[ [ "Midodashvili", "P.", "" ] ]

We introduce new realistic brane-solutions with exponential scale factors in the 6D-space-time. We show that for these solutions the zero modes of all bulk fields are sharply localized at different positions on the brane and have "Gaussian shape" wave-functions in the extra space. We also explicitly show that in the model there are cases when exactly three fermion generations naturally arise only through gravity. Because of localized fermion modes are also stuck at different positions in the extra space, there is possibility to provide a framework for natural explaining the fermion mass hierarchy in terms of higher dimensional geography.

24.018524

22.86305

22.441065

22.19643

22.428034

22.48794

22.948999

23.438911

22.21674

22.810781

22.892057

22.774643

21.510159

21.928713

22.538803

22.362425

21.795582

22.146423

22.606462

23.195873

22.805984

1607.04222

Dmitry Galakhov

Dmitry Galakhov and Gregory W. Moore

Comments On The Two-Dimensional Landau-Ginzburg Approach To Link Homology

77 pages, 12 figures

null

hep-th math-ph math.MP

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

We describe rules for computing a homology theory of knots and links in $\mathbb{R}^3$. It is derived from the theory of framed BPS states bound to domain walls separating two-dimensional Landau-Ginzburg models with (2,2) supersymmetry. We illustrate the rules with some sample computations, obtaining results consistent with Khovanov homology. We show that of the two Landau-Ginzburg models discussed in this context by Gaiotto and Witten one, (the so-called Yang-Yang-Landau-Ginzburg model) does not lead to topological invariants of links while the other, based on a model with target space equal to the universal cover of the moduli space of $SU(2)$ magnetic monopoles, will indeed produce a topologically invariant theory of knots and links.

[ { "created": "Thu, 14 Jul 2016 17:38:53 GMT", "version": "v1" } ]

2016-07-15

[ [ "Galakhov", "Dmitry", "" ], [ "Moore", "Gregory W.", "" ] ]

We describe rules for computing a homology theory of knots and links in $\mathbb{R}^3$. It is derived from the theory of framed BPS states bound to domain walls separating two-dimensional Landau-Ginzburg models with (2,2) supersymmetry. We illustrate the rules with some sample computations, obtaining results consistent with Khovanov homology. We show that of the two Landau-Ginzburg models discussed in this context by Gaiotto and Witten one, (the so-called Yang-Yang-Landau-Ginzburg model) does not lead to topological invariants of links while the other, based on a model with target space equal to the universal cover of the moduli space of $SU(2)$ magnetic monopoles, will indeed produce a topologically invariant theory of knots and links.

7.305717

7.642664

8.922707

7.308873

8.601901

7.483418

7.508143

7.490281

6.923687

10.991171

7.288703

6.999238

7.595344

6.966072

6.992258

7.341941

7.151572

7.147332

7.352679

7.662191

7.102487

1006.1904

Ricardo Monteiro

Oscar J.C. Dias, Pau Figueras, Ricardo Monteiro, Jorge E. Santos

Ultraspinning instability of rotating black holes

38 pages, 6 figures, 1 table

Phys.Rev.D82:104025,2010

10.1103/PhysRevD.82.104025

null

hep-th gr-qc

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

Rapidly rotating Myers-Perry black holes in d>5 dimensions were conjectured to be unstable by Emparan and Myers. In a previous publication, we found numerically the onset of the axisymmetric ultraspinning instability in the singly-spinning Myers-Perry black hole in d=7,8,9. This threshold signals also a bifurcation to new branches of axisymmetric solutions with pinched horizons that are conjectured to connect to the black ring, black Saturn and other families in the phase diagram of stationary solutions. We firmly establish that this instability is also present in d=6 and in d=10,11. The boundary conditions of the perturbations are discussed in detail for the first time and we prove that they preserve the angular velocity and temperature of the original Myers-Perry black hole. This property is fundamental to establish a thermodynamic necessary condition for the existence of this instability in general rotating backgrounds. We also prove a previous claim that the ultraspinning modes cannot be pure gauge modes. Finally we find new ultraspinning Gregory-Laflamme instabilities of rotating black strings and branes that appear exactly at the critical rotation predicted by the aforementioned thermodynamic criterium. The latter is a refinement of the Gubser-Mitra conjecture.

[ { "created": "Wed, 9 Jun 2010 20:30:50 GMT", "version": "v1" } ]

2010-12-13

[ [ "Dias", "Oscar J. C.", "" ], [ "Figueras", "Pau", "" ], [ "Monteiro", "Ricardo", "" ], [ "Santos", "Jorge E.", "" ] ]

Rapidly rotating Myers-Perry black holes in d>5 dimensions were conjectured to be unstable by Emparan and Myers. In a previous publication, we found numerically the onset of the axisymmetric ultraspinning instability in the singly-spinning Myers-Perry black hole in d=7,8,9. This threshold signals also a bifurcation to new branches of axisymmetric solutions with pinched horizons that are conjectured to connect to the black ring, black Saturn and other families in the phase diagram of stationary solutions. We firmly establish that this instability is also present in d=6 and in d=10,11. The boundary conditions of the perturbations are discussed in detail for the first time and we prove that they preserve the angular velocity and temperature of the original Myers-Perry black hole. This property is fundamental to establish a thermodynamic necessary condition for the existence of this instability in general rotating backgrounds. We also prove a previous claim that the ultraspinning modes cannot be pure gauge modes. Finally we find new ultraspinning Gregory-Laflamme instabilities of rotating black strings and branes that appear exactly at the critical rotation predicted by the aforementioned thermodynamic criterium. The latter is a refinement of the Gubser-Mitra conjecture.

8.835111

8.752692

9.588485

8.588372

9.220737

8.755733

9.678454

8.505464

8.489934

10.007692

8.643851

8.411686

8.636665

8.246691

8.51218

8.494182

8.414311

8.526318

8.419066

8.651915

8.458476

0810.5312

Bogdan Georgiev Dimitrov

Bogdan G. Dimitrov (BLThP, JINR, Dubna, Russia)

Block-Structure Method for the Solution of the Matrix System of Equations g{ij}g{jk}=delta{i}{k} in the N-dimensional Case

21 pages, no figures, this is Appendix C of the former paper hep-th/0511136, but now modified; a new statement of the problem in the Introduction and a new proposal is given for the implementation of the method in the (Kaluza-Klein) graviton mode expansion in theories with extra dimensions; journal version - to be subm. to Acta Applic.Mathem

null

hep-th

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

In this paper a new block-structure method is presented for the solution of the well-known from gravity theory matrix system of equations g{ij}g{jk}=delta{i}{k} (with respect to the unknown covariant components g{ij} and by known contravariant ones g{jk}) by transforming this matrix system into a linear algebraic system of equations in the general N-dimensional case. Although powerful computer methods exist for the solution of this problem for a given (fixed) dimension of the matrices g{ij} and especially for numerical elements of g{ij}, the structure of the obtained linear algebraic system in the general N-dimensional case and for arbitrary elements of g{ij} (functions) has not been known. The proposed new analytical block-structure method for the case of symmetrical matrices g{ij} and g{jk} (the standard case in gravity theory) is based on the construction of a block-structure matrix, whose "elements" are again matrices. The method allows to obtain the structure of this linear system in the general N-dimensional case, after multiplication (to the left) with the transponed matrix. Some arguments are given why the proposed method may be applied, after some refinement and generalization for the case of non-symmetrical matrices g{ij} and g{jk}, for finding the graviton modes in the Kaluza-Klein expansion in theories with extra dimensions.

[ { "created": "Wed, 29 Oct 2008 16:04:22 GMT", "version": "v1" } ]

2008-10-30

[ [ "Dimitrov", "Bogdan G.", "", "BLThP, JINR, Dubna, Russia" ] ]

In this paper a new block-structure method is presented for the solution of the well-known from gravity theory matrix system of equations g{ij}g{jk}=delta{i}{k} (with respect to the unknown covariant components g{ij} and by known contravariant ones g{jk}) by transforming this matrix system into a linear algebraic system of equations in the general N-dimensional case. Although powerful computer methods exist for the solution of this problem for a given (fixed) dimension of the matrices g{ij} and especially for numerical elements of g{ij}, the structure of the obtained linear algebraic system in the general N-dimensional case and for arbitrary elements of g{ij} (functions) has not been known. The proposed new analytical block-structure method for the case of symmetrical matrices g{ij} and g{jk} (the standard case in gravity theory) is based on the construction of a block-structure matrix, whose "elements" are again matrices. The method allows to obtain the structure of this linear system in the general N-dimensional case, after multiplication (to the left) with the transponed matrix. Some arguments are given why the proposed method may be applied, after some refinement and generalization for the case of non-symmetrical matrices g{ij} and g{jk}, for finding the graviton modes in the Kaluza-Klein expansion in theories with extra dimensions.

9.0103

10.130182

9.330929

9.523004

10.184846

10.710074

10.831961

9.926558

9.330646

9.896376

9.142063

9.229697

8.825073

8.914539

8.841955

9.338035

9.253736

8.868601

8.802538

8.712553

8.686043

hep-th/0106250

Oleg Shvedov

Oleg Yu. Shvedov

BRST-BFV, Dirac and Projection Operator Quantizations: Correspondence of States

LaTeX, 7 pages; some remarks and references are added

null

hep-th

null

The correspondence between BRST-BFV, Dirac and projection operator approaches to quantize constrained systems is analyzed. It is shown that the component of the BFV wave function with maximal number of ghosts and antighosts in the Schrodinger representation may be viewed as a wave function in the projection operator approach. It is shown by using the relationship between different quantization techniques that the Marnelius inner product for BRST-BFV systems should be in general modified in order to take into account the topology of the group; the Giulini-Marolf group averaging prescription for the inner product is obtained from the BRST-BFV method. The relationship between observables in different approaches is also found.

[ { "created": "Wed, 27 Jun 2001 02:29:13 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2001 03:49:40 GMT", "version": "v2" }, { "created": "Mon, 9 Jul 2001 13:39:21 GMT", "version": "v3" } ]

2007-05-23

[ [ "Shvedov", "Oleg Yu.", "" ] ]

The correspondence between BRST-BFV, Dirac and projection operator approaches to quantize constrained systems is analyzed. It is shown that the component of the BFV wave function with maximal number of ghosts and antighosts in the Schrodinger representation may be viewed as a wave function in the projection operator approach. It is shown by using the relationship between different quantization techniques that the Marnelius inner product for BRST-BFV systems should be in general modified in order to take into account the topology of the group; the Giulini-Marolf group averaging prescription for the inner product is obtained from the BRST-BFV method. The relationship between observables in different approaches is also found.

10.924744

11.808489

11.229819

9.927492

12.451631

11.475523

11.35991

10.218764

10.54993

12.335405

10.280695

10.539048

10.331439

9.916059

10.314233

10.233037

10.342749

10.384404

10.330916

10.462168

10.223111

1305.0273

Marco Bochicchio

Glueball and meson propagators of any spin in large-N QCD

31 pages; new references, added comments on infinite contact terms, minor changes

Nucl. Phys. B 875 (2013) 621

10.1016/j.nuclphysb.2013.07.023

null

hep-th hep-lat hep-ph

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

We prove an asymptotic structure theorem for glueball and meson propagators of any spin in large-N QCD and in n=1 SUSY QCD with massless quarks, that determines asymptotically the residues of the poles of the propagators in terms of their anomalous dimensions and of the spectral density of the masses. The asymptotic theorem follows by the severe constraints on the propagators in large-N QCD with massless quarks, or in any large-N confining asymptotically-free gauge theory massless in perturbation theory, that arise by perturbation theory in conjunction with the renormalization group and by the OPE on the ultraviolet side. The asymptotic theorem is inspired by a recently proposed Topological Field Theory (TFT) underlying large-N pure YM, that computes sums of the scalar and of the pseudoscalar correlators satisfying the asymptotic theorem and that implies for the large-N joint scalar and pseudoscalar glueball spectrum exact linearity in the masses squared. On the infrared side we test the prediction of the exact linearity in the TFT by Meyer-Teper lattice numerical computation of the masses of the low-lying glueballs in SU(8) YM, finding accurate agreement. Besides, we employ the aforementioned ultraviolet and infrared constraints in order to compare critically the scalar or pseudoscalar glueball propagators computed in the framework of the AdS String/large-N Gauge Theory correspondence with those of the TFT underlying large-N YM. We find that only the TFT satisfies the ultraviolet and infrared constraints.

[ { "created": "Wed, 1 May 2013 20:00:39 GMT", "version": "v1" }, { "created": "Sun, 12 May 2013 22:06:10 GMT", "version": "v2" }, { "created": "Tue, 18 Jun 2013 19:57:36 GMT", "version": "v3" } ]

2015-06-15

[ [ "Bochicchio", "Marco", "" ] ]

We prove an asymptotic structure theorem for glueball and meson propagators of any spin in large-N QCD and in n=1 SUSY QCD with massless quarks, that determines asymptotically the residues of the poles of the propagators in terms of their anomalous dimensions and of the spectral density of the masses. The asymptotic theorem follows by the severe constraints on the propagators in large-N QCD with massless quarks, or in any large-N confining asymptotically-free gauge theory massless in perturbation theory, that arise by perturbation theory in conjunction with the renormalization group and by the OPE on the ultraviolet side. The asymptotic theorem is inspired by a recently proposed Topological Field Theory (TFT) underlying large-N pure YM, that computes sums of the scalar and of the pseudoscalar correlators satisfying the asymptotic theorem and that implies for the large-N joint scalar and pseudoscalar glueball spectrum exact linearity in the masses squared. On the infrared side we test the prediction of the exact linearity in the TFT by Meyer-Teper lattice numerical computation of the masses of the low-lying glueballs in SU(8) YM, finding accurate agreement. Besides, we employ the aforementioned ultraviolet and infrared constraints in order to compare critically the scalar or pseudoscalar glueball propagators computed in the framework of the AdS String/large-N Gauge Theory correspondence with those of the TFT underlying large-N YM. We find that only the TFT satisfies the ultraviolet and infrared constraints.

10.553766

10.95295

12.033693

10.706893

10.985167

12.20083

11.247874

10.568706

10.425833

12.311152

10.907606

10.588991

10.361968

10.59368

10.707438

10.521332

10.389287

10.951148

10.7417

10.854109

10.341547

1106.4015

Peter Patalong

David Andriot, Magdalena Larfors, Dieter Lust, Peter Patalong

A ten-dimensional action for non-geometric fluxes

47 pages; v2: minor modifications, references added, version to be published in JHEP

null

10.1007/JHEP09(2011)134

null

hep-th math-ph math.MP

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

The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an antisymmetric bivector field which leads to a ten-dimensional version of the non-geometric Q-flux. Given the involved global aspects of non-geometric situations, we prescribe to use this new Lagrangian, whose associated action is well-defined in some examples investigated here. This allows us to perform a standard dimensional reduction and to recover the usual contribution of the Q-flux to the four-dimensional scalar potential. An extension of this work to include the R-flux is discussed. The paper also contains a brief review on non-geometry.

[ { "created": "Mon, 20 Jun 2011 20:00:08 GMT", "version": "v1" }, { "created": "Thu, 29 Sep 2011 14:08:27 GMT", "version": "v2" } ]

2015-05-28

[ [ "Andriot", "David", "" ], [ "Larfors", "Magdalena", "" ], [ "Lust", "Dieter", "" ], [ "Patalong", "Peter", "" ] ]

The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an antisymmetric bivector field which leads to a ten-dimensional version of the non-geometric Q-flux. Given the involved global aspects of non-geometric situations, we prescribe to use this new Lagrangian, whose associated action is well-defined in some examples investigated here. This allows us to perform a standard dimensional reduction and to recover the usual contribution of the Q-flux to the four-dimensional scalar potential. An extension of this work to include the R-flux is discussed. The paper also contains a brief review on non-geometry.

12.209292

11.808931

13.273536

12.209754

11.435571

12.484546

12.647612

12.301718

12.042059

14.220195

11.439694

12.09515

11.83967

11.633434

11.896906

11.487206

11.822575

11.921906

11.908833

11.86615

11.33476

1304.0182

Alexander Andrianov A

Alexander A. Andrianov, Vladimir A. Andrianov, Oleg O. Novikov

CP violation in the models of fermion localization on a domain wall (brane)

11 pages, Talk at the 4th International Conference on Models in Quantum Field Theory : dedicated to Alexander Nikolaevich Vassiliev (MQFT-2012)

Theor.Math.Phys. 175 (2013) 735-743

10.1007/s11232-013-0059-4

null

hep-th gr-qc hep-ph

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

A brief survey of fermion localization mechanism on a domain wall ("thick brane") generated by a topologically nontrivial vacuum configuration of scalar fields is given. The extension of scalar fields interaction with fermions which supplies fermions with an axial mass is proposed. For several flavors and generations of fermions this extension can entail the Cabibbo-Kobayashi-Maskawa matrix of the Standard Model. As well the model with two scalar doublets which provide a supplementary CP violation mechanism is considered.

[ { "created": "Sun, 31 Mar 2013 09:52:15 GMT", "version": "v1" } ]

2013-11-04

[ [ "Andrianov", "Alexander A.", "" ], [ "Andrianov", "Vladimir A.", "" ], [ "Novikov", "Oleg O.", "" ] ]

A brief survey of fermion localization mechanism on a domain wall ("thick brane") generated by a topologically nontrivial vacuum configuration of scalar fields is given. The extension of scalar fields interaction with fermions which supplies fermions with an axial mass is proposed. For several flavors and generations of fermions this extension can entail the Cabibbo-Kobayashi-Maskawa matrix of the Standard Model. As well the model with two scalar doublets which provide a supplementary CP violation mechanism is considered.

16.602905

14.923094

15.081093

13.3156

15.109004

15.958489

15.631846

16.617859

14.242657

15.9914

15.928923

14.243332

14.862445

14.715333

14.722291

14.713824

15.185336

14.987082

14.972885

14.216452

14.68508

hep-th/0209159

Martin Einhorn

Martin B. Einhorn and Finn Larsen

Interacting Quantum Field Theory in de Sitter Vacua

34 pages including 5 figures

Phys.Rev. D67 (2003) 024001

10.1103/PhysRevD.67.024001

MCTP-02-47

hep-th astro-ph gr-qc

null

We discuss interacting quantum field theory in de Sitter space and argue that the Mottola-Allen vacuum ambiguity is an artifact of free field theory. The nature of the nonthermality of the MA-vacua is also clarified. We propose analyticity of correlation functions as a fundamental requirement of quantum field theory in curved spacetimes. In de Sitter space, this principle determines the vacuum unambiguously and facilitates the systematic development of perturbation theory.

[ { "created": "Thu, 19 Sep 2002 16:54:32 GMT", "version": "v1" }, { "created": "Thu, 19 Sep 2002 22:24:58 GMT", "version": "v2" } ]

2009-11-07

[ [ "Einhorn", "Martin B.", "" ], [ "Larsen", "Finn", "" ] ]

We discuss interacting quantum field theory in de Sitter space and argue that the Mottola-Allen vacuum ambiguity is an artifact of free field theory. The nature of the nonthermality of the MA-vacua is also clarified. We propose analyticity of correlation functions as a fundamental requirement of quantum field theory in curved spacetimes. In de Sitter space, this principle determines the vacuum unambiguously and facilitates the systematic development of perturbation theory.

9.462379

9.812732

9.982501

8.79756

8.814794

9.411304

9.419107

9.262717

10.648375

11.934346

9.679212

9.83696

10.744433

9.88802

9.582164

9.157855

9.511256

8.917853

9.628494

11.071692

9.473873

hep-th/9703137

Robert Sarsfield Dunne

R.S. Dunne

Intrinsic anyonic spin through deformed geometry

26 pages, LaTeX

null

DAMTP/97-19

hep-th

null

The properties of the deformed bosonic oscillator, and the quantum groups ${\cal U}_q(SL(2))$ and $GL_q(2)$ in the limit as their deformation parameter $q$ goes to a root of unity are investigated and interpreted physically. These properties are seen to be related to fractional supersymmetry and intrinsic anyonic spin. A simple deformation of the Klein-Gordon equation is introduced, based on $GL_q(2)$. When $q$ is a root of unity this equation is a root of the undeformed Klein-Gordon equation.

[ { "created": "Wed, 19 Mar 1997 16:44:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dunne", "R. S.", "" ] ]

The properties of the deformed bosonic oscillator, and the quantum groups ${\cal U}_q(SL(2))$ and $GL_q(2)$ in the limit as their deformation parameter $q$ goes to a root of unity are investigated and interpreted physically. These properties are seen to be related to fractional supersymmetry and intrinsic anyonic spin. A simple deformation of the Klein-Gordon equation is introduced, based on $GL_q(2)$. When $q$ is a root of unity this equation is a root of the undeformed Klein-Gordon equation.

7.574913

6.877293

7.60847

5.970798

6.627029

6.523551

6.542488

6.850534

6.32181

7.954237

6.300082

6.799322

7.528895

6.889077

6.81916

6.637656

6.607089

6.769365

6.659315

7.731961

6.859221

hep-th/0509166

Sannino Francesco

Roberto Auzzi (TPI, Univ. of Minnesota) and Francesco Sannino (Bohr Inst.)

Hidden Modulus in the Extended Veneziano-Yankielowicz Theory

LaTeX, 13 pages and 5 figs, v3 misprints corrected

Phys.Rev.D72:105003,2005

10.1103/PhysRevD.72.105003

FTPI-MINN-05/39

hep-th

null

The issue of domain walls in the recently extended Veneziano-Yankielowicz theory is investigated and we show that they have an interesting substructure. We also demonstrate the presence of a noncompact modulus. The associated family of degenerate solutions is physically due to the presence of a valley of vacua in the enlarged space of fields. This is a feature of the extended Veneziano-Yankielowicz theory. Unfortunately the above properties do not match the ones expected for the domain walls of N=1 super Yang-Mills.

[ { "created": "Wed, 21 Sep 2005 16:29:17 GMT", "version": "v1" }, { "created": "Tue, 4 Oct 2005 15:33:21 GMT", "version": "v2" }, { "created": "Fri, 14 Oct 2005 16:03:14 GMT", "version": "v3" } ]

2010-12-03

[ [ "Auzzi", "Roberto", "", "TPI, Univ. of Minnesota" ], [ "Sannino", "Francesco", "", "Bohr\n Inst." ] ]

The issue of domain walls in the recently extended Veneziano-Yankielowicz theory is investigated and we show that they have an interesting substructure. We also demonstrate the presence of a noncompact modulus. The associated family of degenerate solutions is physically due to the presence of a valley of vacua in the enlarged space of fields. This is a feature of the extended Veneziano-Yankielowicz theory. Unfortunately the above properties do not match the ones expected for the domain walls of N=1 super Yang-Mills.

13.161477

13.289258

14.024509

11.618948

12.298244

11.840986

12.065286

11.642483

12.076073

14.701502

11.833025

11.54408

12.805372

11.853052

12.29362

12.315138

12.251904

12.00362

12.350396

13.376918

12.300771

2402.13066

Dripto Biswas

Dripto Biswas and Igor Pesando

Framed DDF operators and the general solution to Virasoro constraints

37 pages (main) + 21 pages (appendix)

null

hep-th

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

We define the framed DDF operators by introducing the concept of local frames in the usual formulation of DDF operators. In doing so it is possible to completely decouple the DDF operators from the associated tachyon and show that they are good zero-dimensional conformal operators. This allows for an explicit formulation of the general solution of the Virasoro constraints both on-shell and off-shell. We then make precise the realization of the intuitive idea that DDF operators can be used to embed light-cone states in the covariant formulation. This embedding is not unique, but depends on a coset. This coset is the little group of the embedding of the light-cone and is associated with a frame. The frame allows us to embed the $SO(D-2)$ light-cone physical polarizations into the $SO(1,D-1)$ covariant ones in the most general way. The solution to the Virasoro constraints is not in the gauge that is usually used. This happens since the states obtained from DDF operators are generically the sum of terms which are partially transverse due to the presence of a projector but not traceless and terms which are partially traceless but not transverse. To check the identification, we verify the matching of the expectation value of the second Casimir of the Poincar'e group for some light-cone states with the corresponding covariant states built using the framed DDFs.

[ { "created": "Tue, 20 Feb 2024 15:03:14 GMT", "version": "v1" } ]

2024-02-21

[ [ "Biswas", "Dripto", "" ], [ "Pesando", "Igor", "" ] ]

We define the framed DDF operators by introducing the concept of local frames in the usual formulation of DDF operators. In doing so it is possible to completely decouple the DDF operators from the associated tachyon and show that they are good zero-dimensional conformal operators. This allows for an explicit formulation of the general solution of the Virasoro constraints both on-shell and off-shell. We then make precise the realization of the intuitive idea that DDF operators can be used to embed light-cone states in the covariant formulation. This embedding is not unique, but depends on a coset. This coset is the little group of the embedding of the light-cone and is associated with a frame. The frame allows us to embed the $SO(D-2)$ light-cone physical polarizations into the $SO(1,D-1)$ covariant ones in the most general way. The solution to the Virasoro constraints is not in the gauge that is usually used. This happens since the states obtained from DDF operators are generically the sum of terms which are partially transverse due to the presence of a projector but not traceless and terms which are partially traceless but not transverse. To check the identification, we verify the matching of the expectation value of the second Casimir of the Poincar'e group for some light-cone states with the corresponding covariant states built using the framed DDFs.

10.885121

11.42434

11.669808

11.504394

11.554303

11.480071

11.836265

11.17207

11.013445

12.55248

10.554649

10.892785

10.629381

10.504142

10.65654

10.717134

10.661592

10.562489

10.466646

11.075734

10.182013

hep-th/0701117

Hubert Saleur

N. Read and H. Saleur

Associative-algebraic approach to logarithmic conformal field theories

null

Nucl.Phys.B777:316-351,2007

10.1016/j.nuclphysb.2007.03.033

null

hep-th cond-mat.stat-mech math.QA

null

We set up a strategy for studying large families of logarithmic conformal field theories by using the enlarged symmetries and non--semi-simple associative algebras appearing in their lattice regularizations (as discussed in a companion paper). Here we work out in detail two examples of theories derived as the continuum limit of XXZ spin-1/2 chains, which are related to spin chains with supersymmetry algebras gl($n|n$) and gl($n+1|n$), respectively, with open (or free) boundary conditions in all cases. These theories can also be viewed as vertex models, or as loop models. Their continuum limits are boundary conformal field theories (CFTs) with central charge $c=-2$ and $c=0$ respectively, and in the loop interpretation they describe dense polymers and the boundaries of critical percolation clusters, respectively. We also discuss the case of dilute (critical) polymers as another boundary CFT with $c=0$. Within the supersymmetric formulations, these boundary CFTs describe the fixed points of certain nonlinear sigma models that have a supercoset space as the target manifold, and of Landau-Ginzburg field theories. The submodule structures of indecomposable representations of the Virasoro algebra appearing in the boundary CFT, representing local fields, are derived from the lattice. A central result is the derivation of the fusion rules for these fields.

[ { "created": "Fri, 12 Jan 2007 14:49:52 GMT", "version": "v1" } ]

2008-11-26

[ [ "Read", "N.", "" ], [ "Saleur", "H.", "" ] ]

We set up a strategy for studying large families of logarithmic conformal field theories by using the enlarged symmetries and non--semi-simple associative algebras appearing in their lattice regularizations (as discussed in a companion paper). Here we work out in detail two examples of theories derived as the continuum limit of XXZ spin-1/2 chains, which are related to spin chains with supersymmetry algebras gl($n|n$) and gl($n+1|n$), respectively, with open (or free) boundary conditions in all cases. These theories can also be viewed as vertex models, or as loop models. Their continuum limits are boundary conformal field theories (CFTs) with central charge $c=-2$ and $c=0$ respectively, and in the loop interpretation they describe dense polymers and the boundaries of critical percolation clusters, respectively. We also discuss the case of dilute (critical) polymers as another boundary CFT with $c=0$. Within the supersymmetric formulations, these boundary CFTs describe the fixed points of certain nonlinear sigma models that have a supercoset space as the target manifold, and of Landau-Ginzburg field theories. The submodule structures of indecomposable representations of the Virasoro algebra appearing in the boundary CFT, representing local fields, are derived from the lattice. A central result is the derivation of the fusion rules for these fields.

8.708215

9.423511

10.305202

8.752917

9.34262

9.665972

9.377024

8.806209

9.001593

11.340013

8.603585

8.564774

8.776158

8.458242

8.57215

8.607051

8.687279

8.543858

8.394229

9.114551

8.584614

1010.0963

Kai Wunderle

Kai E. Wunderle and Rainer Dick

A Supersymmetric Lagrangian for Fermionic Fields with Mass Dimension One

30 pages, added references

null

10.1139/p2012-075

null

hep-th

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

We present the derivation of a supersymmetric model for fermionic fields with integer valued mass dimension based on a general superfield with one free spinor index. First, we demonstrate that it is impossible to formulate such a model based on a general scalar superfield. This is due to problems constructing a Lagrangian containing a kinetic term for the fermionic mass dimension one field, as well as problems deriving a consistent second quantisation. We then develop a formalism based on a general superfield with one free spinor index. We systematically derive all associated chiral and anti-chiral superfields up to third order in covariant derivatives. Using this formalism we are able to construct a supersymmetric on-shell Lagrangian that contains a kinetic term for the fermionic fields with mass dimension one. We then derive the corresponding on-shell supercurrent and succeed to formulate a consistent second quantisation for the component fields. Finally, we present our result for a supersymmetric Hamiltonian. As the Lagrangian is by construction supersymmetric and the Hamiltonian was derived from the Lagrangian using the supersymmetry algebra the Hamiltonian must be positive definite.

[ { "created": "Tue, 5 Oct 2010 18:15:20 GMT", "version": "v1" }, { "created": "Sun, 31 Oct 2010 03:37:53 GMT", "version": "v2" } ]

2015-05-20

[ [ "Wunderle", "Kai E.", "" ], [ "Dick", "Rainer", "" ] ]

We present the derivation of a supersymmetric model for fermionic fields with integer valued mass dimension based on a general superfield with one free spinor index. First, we demonstrate that it is impossible to formulate such a model based on a general scalar superfield. This is due to problems constructing a Lagrangian containing a kinetic term for the fermionic mass dimension one field, as well as problems deriving a consistent second quantisation. We then develop a formalism based on a general superfield with one free spinor index. We systematically derive all associated chiral and anti-chiral superfields up to third order in covariant derivatives. Using this formalism we are able to construct a supersymmetric on-shell Lagrangian that contains a kinetic term for the fermionic fields with mass dimension one. We then derive the corresponding on-shell supercurrent and succeed to formulate a consistent second quantisation for the component fields. Finally, we present our result for a supersymmetric Hamiltonian. As the Lagrangian is by construction supersymmetric and the Hamiltonian was derived from the Lagrangian using the supersymmetry algebra the Hamiltonian must be positive definite.

6.931656

7.557074

7.089223

7.128113

7.538453

7.527998

7.209597

6.970378

6.980477

6.950827

7.054477

7.091466

7.080945

7.037846

7.165401

7.024302

7.06901

6.93385

6.997601

6.930599

6.795954

hep-th/9811070

Hans-Peter Pavel

A.M. Khvedelidze, H.-P. Pavel and G. R\"opke

Unconstrained SU(2) Yang-Mills Quantum Mechanics with Theta Angle

20 pages REVTEX, no figures, one reference added, final version to appear in Phys. Rev. D

Phys.Rev. D61 (2000) 025017

10.1103/PhysRevD.61.025017

null

hep-th

null

The unconstrained classical system equivalent to spatially homogeneous SU(2) Yang-Mills theory with theta angle is obtained and canonically quantized. The Schr\"odinger eigenvalue problem is solved approximately for the low lying states using variational calculation. The properties of the groundstate are discussed, in particular its electric and magnetic properties, and the value of the "gluon condensate" is calculated. Furthermore it is shown that the energy spectrum of SU(2) Yang-Mills quantum mechanics is independent of the theta angle. Explicit evaluation of the Witten formula for the topological susceptibility gives strong support for the consistency of the variational results obtained.

[ { "created": "Mon, 9 Nov 1998 08:00:05 GMT", "version": "v1" }, { "created": "Thu, 12 Aug 1999 17:47:26 GMT", "version": "v2" }, { "created": "Thu, 7 Oct 1999 12:43:48 GMT", "version": "v3" } ]

2009-10-31

[ [ "Khvedelidze", "A. M.", "" ], [ "Pavel", "H. -P.", "" ], [ "Röpke", "G.", "" ] ]

The unconstrained classical system equivalent to spatially homogeneous SU(2) Yang-Mills theory with theta angle is obtained and canonically quantized. The Schr\"odinger eigenvalue problem is solved approximately for the low lying states using variational calculation. The properties of the groundstate are discussed, in particular its electric and magnetic properties, and the value of the "gluon condensate" is calculated. Furthermore it is shown that the energy spectrum of SU(2) Yang-Mills quantum mechanics is independent of the theta angle. Explicit evaluation of the Witten formula for the topological susceptibility gives strong support for the consistency of the variational results obtained.

9.121978

8.482266

9.163204

8.076522

8.326678

8.761086

8.380437

8.396654

7.466763

9.22588

8.450447

8.51807

9.183312

8.523565

8.645447

8.607999

8.523218

8.723588

8.912956

8.868478

8.745883

0909.1799

Massimo Bianchi

Recent Trends in Superstring Phenomenology

22 pages. On the Silver Jubilee of the Green-Schwarz mechanism

null

ROM2F/2009/33

hep-th

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

We review for non-experts possible phenomenological scenari in String Theory. In particular we focus on vacuum configurations with intersecting and/or magnetized unoriented D-branes. We will show how a TeV scale tension may be compatible with the existence of Large Extra Dimensions and how anomalous U(1)'s can give rise to interesting signatures at LHC or in cosmic rays. Finally, we discuss unoriented D-brane instantons as a source of non-perturbative effects that can contribute to moduli stabilization and susy braking in combination with fluxes. We conclude with an outlook and directions for future work.

[ { "created": "Wed, 9 Sep 2009 19:34:59 GMT", "version": "v1" } ]

2009-09-10

[ [ "Bianchi", "Massimo", "" ] ]

We review for non-experts possible phenomenological scenari in String Theory. In particular we focus on vacuum configurations with intersecting and/or magnetized unoriented D-branes. We will show how a TeV scale tension may be compatible with the existence of Large Extra Dimensions and how anomalous U(1)'s can give rise to interesting signatures at LHC or in cosmic rays. Finally, we discuss unoriented D-brane instantons as a source of non-perturbative effects that can contribute to moduli stabilization and susy braking in combination with fluxes. We conclude with an outlook and directions for future work.

11.321488

11.746411

11.776575

10.647052

11.526312

11.340959

12.079925

11.284698

10.875209

12.069322

11.39422

10.732985

10.77072

10.438409

10.385105

10.895681

10.684501

10.307786

10.251735

11.025167

10.297804

hep-th/9301115

null

A. Cappelli, G.V. Dunne, C.A. Trugenberger and G.R. Zemba

Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids

15 pages, CERN-TH-6784/93, LateX file

Nucl.Phys.Proc.Suppl. 33C (1993) 21-34

10.1016/0920-5632(93)90369-H

null

hep-th cond-mat

null

The exactness and universality observed in the quantum Hall effect suggests the existence of a symmetry principle underlying Laughlin's theory. We review the role played by the infinite $W_{\infty }$ and conformal algebras as dynamical symmetries of incompressible quantum fluids and show how they predict universal finite-size effects in the excitation spectrum.

[ { "created": "Wed, 27 Jan 1993 15:32:09 GMT", "version": "v1" } ]

2009-10-22

[ [ "Cappelli", "A.", "" ], [ "Dunne", "G. V.", "" ], [ "Trugenberger", "C. A.", "" ], [ "Zemba", "G. R.", "" ] ]

The exactness and universality observed in the quantum Hall effect suggests the existence of a symmetry principle underlying Laughlin's theory. We review the role played by the infinite $W_{\infty }$ and conformal algebras as dynamical symmetries of incompressible quantum fluids and show how they predict universal finite-size effects in the excitation spectrum.

9.731458

8.982322

11.853256

8.719496

8.114738

8.877524

9.054478

9.144531

9.012999

11.723398

8.455954

8.972482

10.226425

9.163665

9.20056

9.039699

8.679712

9.09443

8.952645

10.127666

8.850243

hep-th/9705142

Mathias Pillin

Mathias Pillin (King's College, London)

Polynomial Recursion Equations in Form Factors of ADE Toda Field Theories

14 pages, Latex, no figures

Lett.Math.Phys. 43 (1998) 211-224

null

KCL-MTH-97-31

hep-th math.QA q-alg

null

It is shown that the problem of calculating form factors in ADE affine Toda field theories can be reduced to the nonperturbative recursive calculation of polynomials symmetric in each sort of variables. We determine these recursion equations explicitly for the ADE series and characterize the polynomial solutions by an interplay between the weight space of the underlying Lie algebra and representations of the symmetric group.

[ { "created": "Tue, 20 May 1997 09:24:00 GMT", "version": "v1" } ]

2016-09-06

[ [ "Pillin", "Mathias", "", "King's College, London" ] ]

It is shown that the problem of calculating form factors in ADE affine Toda field theories can be reduced to the nonperturbative recursive calculation of polynomials symmetric in each sort of variables. We determine these recursion equations explicitly for the ADE series and characterize the polynomial solutions by an interplay between the weight space of the underlying Lie algebra and representations of the symmetric group.

17.33143

14.830064

20.791458

15.000885

14.959904

16.547981

16.069563

15.897986

14.361322

22.512037

15.047929

15.009317

17.389837

14.46338

15.27137

14.635894

14.925504

15.121094

14.904785

17.965778

14.419274

hep-th/9506074

Chong Ming Yung

C. M. Yung and M. T. Batchelor

Integrable O(n) model on the honeycomb lattice via reflection matrices : Surface critical behaviour

LaTeX, 29 pages, with 5 PostScript figures

Nucl.Phys.B453:552-580,1995

10.1016/0550-3213(95)00355-V

ANU MRR 036-95

hep-th cond-mat

null

We study the $O(n)$ loop model on the honeycomb lattice with open boundary conditions. Reflection matrices for the underlying Izergin-Korepin $R$-matrix lead to three inequivalent sets of integrable boundary weights. One set, which has previously been considered, gives rise to the ordinary surface transition. The other two sets correspond respectively to the special surface transition and the mixed ordinary-special transition. We analyse the Bethe ansatz equations derived for these integrable cases and obtain the surface energies together with the central charges and scaling dimensions characterizing the corresponding phase transitions.

[ { "created": "Sun, 11 Jun 1995 01:16:38 GMT", "version": "v1" } ]

2014-11-18

[ [ "Yung", "C. M.", "" ], [ "Batchelor", "M. T.", "" ] ]

We study the $O(n)$ loop model on the honeycomb lattice with open boundary conditions. Reflection matrices for the underlying Izergin-Korepin $R$-matrix lead to three inequivalent sets of integrable boundary weights. One set, which has previously been considered, gives rise to the ordinary surface transition. The other two sets correspond respectively to the special surface transition and the mixed ordinary-special transition. We analyse the Bethe ansatz equations derived for these integrable cases and obtain the surface energies together with the central charges and scaling dimensions characterizing the corresponding phase transitions.

9.562284

9.353993

11.28773

8.572064

9.549399

9.949832

8.853394

9.046124

9.068813

12.775052

8.662803

8.845997

10.374928

9.271452

9.126895

9.114016

9.1327

9.087225

9.149082

11.367753

8.722486

1711.10308

Peter M. Lavrov

I. A. Batalin, P. M. Lavrov

Superfield generating equation of field-antifield formalism

6 pages, Contribution to the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'2017, 31 July - 5 August, 2017, Dubna, Russia)

null

10.1134/S1063779618050052

null

hep-th

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

A simple quantum superfield generating equation of the field-antifield formalism is proposed. The Schroedinger equation with the Hamiltonian having $\Delta$-exact form is derived. An $Sp(2)$ symmetric extension to the main construction, with specific features caused by the principal fact that all basic equations become $Sp(2)$ vector-valued ones, is presented. A principal role of quantum antibrackets in formulation of the Heisenberg equations of motion is shown.

[ { "created": "Tue, 28 Nov 2017 14:29:07 GMT", "version": "v1" } ]

2018-11-14

[ [ "Batalin", "I. A.", "" ], [ "Lavrov", "P. M.", "" ] ]

A simple quantum superfield generating equation of the field-antifield formalism is proposed. The Schroedinger equation with the Hamiltonian having $\Delta$-exact form is derived. An $Sp(2)$ symmetric extension to the main construction, with specific features caused by the principal fact that all basic equations become $Sp(2)$ vector-valued ones, is presented. A principal role of quantum antibrackets in formulation of the Heisenberg equations of motion is shown.

19.294661

12.317237

17.001078

13.998633

14.467677

14.901463

15.078267

14.381099

15.685082

18.679049

13.380324

15.025186

16.413506

14.885307

14.727245

14.55495

14.364709

14.683084

15.186751

16.534317

15.362175

1911.07618

Mikel A. Urkiola

Jose J. Blanco-Pillado, Kepa Sousa, Mikel A. Urkiola

Slepian models for Gaussian Random Landscapes

51 pages, 14 figures

null

10.1007/JHEP05(2020)142

null

hep-th astro-ph.CO

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

Phenomenologically interesting scalar potentials are highly atypical in generic random landscapes. We develop the mathematical techniques to generate constrained random potentials, i.e. Slepian models, which can globally represent low-probability realizations of the landscape. We give analytical as well as numerical methods to construct these Slepian models for constrained realizations of a full Gaussian random field around critical as well as inflection points. We use these techniques to numerically generate in an efficient way a large number of minima at arbitrary heights of the potential and calculate their non-perturbative decay rate. Furthermore, we also illustrate how to use these methods by obtaining statistical information about the distribution of observables in an inflationary inflection point constructed within these models.

[ { "created": "Mon, 18 Nov 2019 13:34:02 GMT", "version": "v1" } ]

2020-06-24

[ [ "Blanco-Pillado", "Jose J.", "" ], [ "Sousa", "Kepa", "" ], [ "Urkiola", "Mikel A.", "" ] ]

Phenomenologically interesting scalar potentials are highly atypical in generic random landscapes. We develop the mathematical techniques to generate constrained random potentials, i.e. Slepian models, which can globally represent low-probability realizations of the landscape. We give analytical as well as numerical methods to construct these Slepian models for constrained realizations of a full Gaussian random field around critical as well as inflection points. We use these techniques to numerically generate in an efficient way a large number of minima at arbitrary heights of the potential and calculate their non-perturbative decay rate. Furthermore, we also illustrate how to use these methods by obtaining statistical information about the distribution of observables in an inflationary inflection point constructed within these models.

18.214243

18.948463

20.287806

18.85264

20.386911

20.49004

19.950552

18.352245

18.212778

22.967485

16.521105

16.471674

17.387459

17.638796

17.333246

17.1007

16.864111

16.951448

16.44025

17.063034

17.093382