LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2206.00020

Shannon Wang

Adolfo Holguin, Shannon Wang

Giant Gravitons, Harish-Chandra integrals, and BPS states in symplectic and orthogonal $\mathcal{N}$= 4 SYM

18 pages, no figures. v3: fixed typos

null

hep-th

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

We find generating functions for half BPS correlators in $\mathcal{N}=4$ SYM theories with gauge groups $Sp(2N)$, $SO(2N+1)$, and $SO(2N)$ by computing the norms of a class of BPS coherent states. These coherent states are built from operators involving Harish-Chandra integrals. Such operators have an interpretation as localized giant gravitons in the bulk of anti-de-Sitter space. This extends the analysis of \cite{Berenstein:2022srd} to $Sp(2N)$, $SO(2N+1)$, and $SO(2N)$ gauge theories. We show that we may use ordinary Schur functions as a basis for the sector of states with no cross-caps in these theories. This is consistent with the construction of these theories as orientifold projections of an $SU(2N)$ theory. We make note of some relations between the symmetric functions that appear in the expansion of these coherent states and symplectic Schur functions. We also comment on some connections to Schubert calculus and Gromov-Witten invariants, which suggest that the Harish-Chandra integral may be extended to such problems.

[ { "created": "Tue, 31 May 2022 18:00:05 GMT", "version": "v1" }, { "created": "Fri, 1 Jul 2022 23:46:43 GMT", "version": "v2" }, { "created": "Tue, 6 Sep 2022 21:17:24 GMT", "version": "v3" } ]

2022-09-08

[ [ "Holguin", "Adolfo", "" ], [ "Wang", "Shannon", "" ] ]

We find generating functions for half BPS correlators in $\mathcal{N}=4$ SYM theories with gauge groups $Sp(2N)$, $SO(2N+1)$, and $SO(2N)$ by computing the norms of a class of BPS coherent states. These coherent states are built from operators involving Harish-Chandra integrals. Such operators have an interpretation as localized giant gravitons in the bulk of anti-de-Sitter space. This extends the analysis of \cite{Berenstein:2022srd} to $Sp(2N)$, $SO(2N+1)$, and $SO(2N)$ gauge theories. We show that we may use ordinary Schur functions as a basis for the sector of states with no cross-caps in these theories. This is consistent with the construction of these theories as orientifold projections of an $SU(2N)$ theory. We make note of some relations between the symmetric functions that appear in the expansion of these coherent states and symplectic Schur functions. We also comment on some connections to Schubert calculus and Gromov-Witten invariants, which suggest that the Harish-Chandra integral may be extended to such problems.

6.418237

6.138162

6.96194

5.938357

6.425537

6.313971

5.869227

6.051904

6.107304

7.433579

6.273232

6.202065

6.206451

6.078171

6.182028

6.132996

6.180663

6.11068

6.07765

6.525601

6.123933

hep-th/0306142

Claudio Dappiaggi

Giovanni Arcioni and Claudio Dappiaggi

Exploring the holographic principle in asymptotically flat spacetimes via the BMS group

53 pages accepted for pubblication on Nuclear Physics B added two comments in the revised version

Nucl.Phys. B674 (2003) 553-592

10.1016/j.nuclphysb.2003.09.051

SPIN-03/18, ITP-UU-03/27

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

null

We explore the holographic principle in the context of asymptotically flat spacetimes. In analogy with the AdS/CFT scenario we analyse the asympotically symmetry group of this class of spacetimes, the so called Bondi-Metzner-Sachs (BMS) group. We apply the covariant entropy bound to relate bulk entropy to boundary symmetries and find a quite different picture with respect to the asymptotically AdS case. We then derive the covariant wave equations for fields carrying BMS representations to investigate the nature of the boundary degrees of freedom. We find some similarities with 't Hooft S-matrix proposal and suggest a possible mechanism to encode bulk data.

[ { "created": "Mon, 16 Jun 2003 07:51:45 GMT", "version": "v1" }, { "created": "Tue, 30 Sep 2003 12:43:52 GMT", "version": "v2" } ]

2010-04-05

[ [ "Arcioni", "Giovanni", "" ], [ "Dappiaggi", "Claudio", "" ] ]

We explore the holographic principle in the context of asymptotically flat spacetimes. In analogy with the AdS/CFT scenario we analyse the asympotically symmetry group of this class of spacetimes, the so called Bondi-Metzner-Sachs (BMS) group. We apply the covariant entropy bound to relate bulk entropy to boundary symmetries and find a quite different picture with respect to the asymptotically AdS case. We then derive the covariant wave equations for fields carrying BMS representations to investigate the nature of the boundary degrees of freedom. We find some similarities with 't Hooft S-matrix proposal and suggest a possible mechanism to encode bulk data.

7.877747

7.792819

7.649063

7.2795

7.573608

7.771573

7.811426

8.197289

7.202295

9.357865

7.642102

7.588819

7.823472

7.53385

7.46921

7.631492

7.544553

7.6557

7.82386

7.907521

7.45256

2312.13037

Urs Schreiber

Hisham Sati and Urs Schreiber

Quantum Observables of Quantized Fluxes

20 pages

null

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

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

While it has become widely appreciated that defining (higher) gauge theories requires, in addition to ordinary phase space data, also "flux quantization" laws in generalized differential cohomology, there has been little discussion of the general rules, if any, for lifting Poisson-brackets of (flux-)observables and their quantization from traditional phase spaces to the resulting higher moduli stacks of flux-quantized gauge fields. In this short note, we present a systematic analysis of (i) the canonical quantization of flux observables in Yang-Mills theory and (ii) of valid flux quantization laws in abelian Yang-Mills, observing (iii) that the resulting topological quantum observables form the homology Pontrjagin algebra of the loop space of the moduli space of flux-quantized gauge fields. This is remarkable because the homology Ponrjagin algebra on loops of moduli makes immediate sense in broad generality for higher and non-abelian (non-linearly coupled) gauge fields, such as for the C-field in 11d supergravity, where it recovers the quantum effects previously discussed in the context of "Hypothesis H".

[ { "created": "Wed, 20 Dec 2023 14:02:42 GMT", "version": "v1" } ]

2023-12-21

[ [ "Sati", "Hisham", "" ], [ "Schreiber", "Urs", "" ] ]

While it has become widely appreciated that defining (higher) gauge theories requires, in addition to ordinary phase space data, also "flux quantization" laws in generalized differential cohomology, there has been little discussion of the general rules, if any, for lifting Poisson-brackets of (flux-)observables and their quantization from traditional phase spaces to the resulting higher moduli stacks of flux-quantized gauge fields. In this short note, we present a systematic analysis of (i) the canonical quantization of flux observables in Yang-Mills theory and (ii) of valid flux quantization laws in abelian Yang-Mills, observing (iii) that the resulting topological quantum observables form the homology Pontrjagin algebra of the loop space of the moduli space of flux-quantized gauge fields. This is remarkable because the homology Ponrjagin algebra on loops of moduli makes immediate sense in broad generality for higher and non-abelian (non-linearly coupled) gauge fields, such as for the C-field in 11d supergravity, where it recovers the quantum effects previously discussed in the context of "Hypothesis H".

12.297082

12.515182

14.317606

12.405052

13.011181

12.571375

12.374458

12.6337

11.710789

16.272644

12.26438

11.563702

12.101507

11.241279

11.23394

11.274064

11.724131

11.507305

11.33707

12.750529

11.436031

2003.09740

Alessandro Mininno

Ginevra Buratti, Jose Calderon, Alessandro Mininno, Angel M. Uranga

Discrete Symmetries, Weak Coupling Conjecture and Scale Separation in AdS Vacua

35 pages + appendices. References added

null

10.1007/JHEP06(2020)083

IFT-UAM/CSIC-20-46

hep-th

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

We argue that in theories of quantum gravity with discrete gauge symmetries, e.g. $\textbf{Z}_k$, the gauge couplings of U$(1)$ gauge symmetries become weak in the limit of large $k$, as $g\to k^{-\alpha}$ with $\alpha$ a positive order 1 coefficient. The conjecture is based on black hole arguments combined with the Weak Gravity Conjecture (or the BPS bound in the supersymmetric setup), and the species bound. We provide explicit examples based on type IIB on AdS$_5\times \textbf{S}^5/\textbf{Z}_k$ orbifolds, and M-theory on AdS$_4\times\textbf{S}^7/\textbf{Z}_k$ ABJM orbifolds (and their type IIA reductions). We study AdS$_4$ vacua of type IIA on CY orientifold compactifications, and show that the parametric scale separation in certain infinite families is controlled by a discrete $\textbf{Z}_k$ symmetry for domain walls. We accordingly propose a refined version of the strong AdS Distance Conjecture, including a parametric dependence on the order of the discrete symmetry for 3-forms.

[ { "created": "Sat, 21 Mar 2020 20:03:29 GMT", "version": "v1" }, { "created": "Tue, 31 Mar 2020 23:05:35 GMT", "version": "v2" } ]

2020-07-15

[ [ "Buratti", "Ginevra", "" ], [ "Calderon", "Jose", "" ], [ "Mininno", "Alessandro", "" ], [ "Uranga", "Angel M.", "" ] ]

We argue that in theories of quantum gravity with discrete gauge symmetries, e.g. $\textbf{Z}_k$, the gauge couplings of U$(1)$ gauge symmetries become weak in the limit of large $k$, as $g\to k^{-\alpha}$ with $\alpha$ a positive order 1 coefficient. The conjecture is based on black hole arguments combined with the Weak Gravity Conjecture (or the BPS bound in the supersymmetric setup), and the species bound. We provide explicit examples based on type IIB on AdS$_5\times \textbf{S}^5/\textbf{Z}_k$ orbifolds, and M-theory on AdS$_4\times\textbf{S}^7/\textbf{Z}_k$ ABJM orbifolds (and their type IIA reductions). We study AdS$_4$ vacua of type IIA on CY orientifold compactifications, and show that the parametric scale separation in certain infinite families is controlled by a discrete $\textbf{Z}_k$ symmetry for domain walls. We accordingly propose a refined version of the strong AdS Distance Conjecture, including a parametric dependence on the order of the discrete symmetry for 3-forms.

7.34552

6.952968

7.649041

7.116913

6.633557

7.106208

6.684858

7.071453

6.925019

9.095016

6.902174

7.164501

7.579443

7.073409

7.287076

7.1936

7.147257

7.30396

6.998112

7.20082

7.051851

1610.06925

Masahito Yamazaki

Quantum Trilogy: Discrete Toda, Y-System and Chaos

35 pages, 15 figures; v2: journal version

null

10.1088/1751-8121/aaa08e

IPMU16-0156

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

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

We discuss a discretization of the quantum Toda field theory associated with a semisimple finite-dimensional Lie algebra or a tamely-laced infinite-dimensional Kac-Moody algebra $G$, generalizing the previous construction of discrete quantum Liouville theory for the case $G=A_1$. The model is defined on a discrete two-dimensional lattice, whose spatial direction is of length $L$. In addition we also find a "discretized extra dimension" whose width is given by the rank $r$ of $G$, which decompactifies in the large $r$ limit. For the case of $G=A_N$ or $A_{N-1}^{(1)}$, we find a symmetry exchanging $L$ and $N$ under appropriate spatial boundary conditions. The dynamical time evolution rule of the model is a quantizations of the so-called Y-system, and the theory can be well-described by the quantum cluster algebra. We discuss possible implications for recent discussions of quantum chaos, and comment on the relation with the quantum higher Teichmuller theory of type $A_N$.

[ { "created": "Fri, 21 Oct 2016 20:00:00 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2017 05:57:56 GMT", "version": "v2" } ]

2017-12-29

[ [ "Yamazaki", "Masahito", "" ] ]

We discuss a discretization of the quantum Toda field theory associated with a semisimple finite-dimensional Lie algebra or a tamely-laced infinite-dimensional Kac-Moody algebra $G$, generalizing the previous construction of discrete quantum Liouville theory for the case $G=A_1$. The model is defined on a discrete two-dimensional lattice, whose spatial direction is of length $L$. In addition we also find a "discretized extra dimension" whose width is given by the rank $r$ of $G$, which decompactifies in the large $r$ limit. For the case of $G=A_N$ or $A_{N-1}^{(1)}$, we find a symmetry exchanging $L$ and $N$ under appropriate spatial boundary conditions. The dynamical time evolution rule of the model is a quantizations of the so-called Y-system, and the theory can be well-described by the quantum cluster algebra. We discuss possible implications for recent discussions of quantum chaos, and comment on the relation with the quantum higher Teichmuller theory of type $A_N$.

8.796457

9.524836

10.261597

8.544408

9.099739

9.536847

10.287721

8.841027

8.929583

11.075182

8.579332

8.528082

8.551364

8.45499

8.488964

8.598568

8.617093

8.890511

8.453684

8.811254

8.391636

1903.11288

Sergey Bondarenko

S.Bondarenko, S.Pozdnyakov

On QCD RFT corrections to the propagator of reggeized gluons

28 pages, 3 figures

null

10.1016/j.nuclphysb.2019.114854

null

hep-th hep-ph

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

We calculate an one loop QCD Regge Field Theory (RFT) correction to the propagator of reggeized gluons basing on the QCD effective action of Lipatov, \cite{LipatovEff,LipatovEff1,Our1,Our2,Our3,Our4}, and results of \cite{Our5} where Dyson-Schwinger hierarchy of the equations for the correlators of reggeized gluon fields was derived. The correction is calculated entirely in the framework of RFT with the use of the obtained expressions for the RFT bare triple Reggeon vertices and propagator of reggeized gluons, the cases of bare propagator and propagator calculated to one-loop precision are considered separately. In both results the obtained correction represents non-eikonal contributions to the propagator kinematically suppressed by $1/\sqrt{s}$ factor in comparison to the usual LLA contributions. The further application of the obtained results is discussed as well.

[ { "created": "Wed, 27 Mar 2019 08:25:28 GMT", "version": "v1" }, { "created": "Thu, 7 Nov 2019 09:00:14 GMT", "version": "v2" } ]

2020-01-29

[ [ "Bondarenko", "S.", "" ], [ "Pozdnyakov", "S.", "" ] ]

We calculate an one loop QCD Regge Field Theory (RFT) correction to the propagator of reggeized gluons basing on the QCD effective action of Lipatov, \cite{LipatovEff,LipatovEff1,Our1,Our2,Our3,Our4}, and results of \cite{Our5} where Dyson-Schwinger hierarchy of the equations for the correlators of reggeized gluon fields was derived. The correction is calculated entirely in the framework of RFT with the use of the obtained expressions for the RFT bare triple Reggeon vertices and propagator of reggeized gluons, the cases of bare propagator and propagator calculated to one-loop precision are considered separately. In both results the obtained correction represents non-eikonal contributions to the propagator kinematically suppressed by $1/\sqrt{s}$ factor in comparison to the usual LLA contributions. The further application of the obtained results is discussed as well.

9.360936

9.994842

8.972832

8.647291

9.678253

9.201749

8.980439

9.669005

9.256953

9.145557

9.628389

8.725502

8.845906

8.960434

9.356886

8.980037

8.972936

9.382876

8.715177

9.055581

8.953993

hep-th/9211057

null

J. Russo

Black hole formation in $c=1$ String Field Theory

9 pages, UTTG-27-92 (references added + a few corrections)

Phys.Lett. B300 (1993) 336-342

10.1016/0370-2693(93)91342-K

null

hep-th

null

A suggestion on how black holes may appear in Das-Jevicki Collective field theory is given. We study the behaviour of a `test' particle when energy is sent into the system. A perturbation moving near the potential barrier can create a large-distance black hole geometry where the seeming curvature singularity is at the position of the barrier. In the simplest `static' case the exact $D=2$ black hole metric emerges.

[ { "created": "Thu, 12 Nov 1992 22:39:10 GMT", "version": "v1" }, { "created": "Tue, 17 Nov 1992 23:29:28 GMT", "version": "v2" } ]

2009-10-22

[ [ "Russo", "J.", "" ] ]

A suggestion on how black holes may appear in Das-Jevicki Collective field theory is given. We study the behaviour of a `test' particle when energy is sent into the system. A perturbation moving near the potential barrier can create a large-distance black hole geometry where the seeming curvature singularity is at the position of the barrier. In the simplest `static' case the exact $D=2$ black hole metric emerges.

31.711241

23.34737

29.795332

24.160103

25.150412

23.743298

27.815176

24.229059

23.815565

33.322132

24.614166

24.456602

26.816618

24.631561

23.279058

22.95183

23.404877

23.742214

24.134386

26.429148

23.154978

hep-th/0205256

Malte Henkel

Phenomenology of local scale invariance: from conformal invariance to dynamical scaling

Latex, 73 pages, with 9 figures. Minor corrections, final form

Nucl.Phys. B641 (2002) 405-486

10.1016/S0550-3213(02)00540-0

null

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

null

Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are characterized by an anisotropy exponent theta or a dynamical exponent z. For a given value of theta, we construct local scale transformations which can be viewed as scale transformations with a space-time-dependent dilatation factor. Two distinct types of local scale transformations are found. The first type may describe strongly anisotropic scaling of static systems with a given value of theta, whereas the second type may describe dynamical scaling with a dynamical exponent z. Local scale transformations act as a dynamical symmetry group of certain non-local free-field theories. Known special cases of local scale invariance are conformal invariance for theta=1 and Schrodinger invariance for theta=2. The hypothesis of local scale invariance implies that two-point functions of quasiprimary operators satisfy certain linear fractional differential equations, which are constructed from commuting fractional derivatives. The explicit solution of these yields exact expressions for two-point correlators at equilibrium and for two-point response functions out of equilibrium. Aparticularly simple and general form is found for the two-time autoresponse function. These predictions are explicitly confirmed at the uniaxial Lifshitz points in the ANNNI and ANNNS models and in the aging behaviour of simple ferromagnets such as the kinetic Glauber-Ising model and the kinetic spherical model with a non-conserved order parameter undergoing either phase-ordering kinetics or non-equilibrium critical dynamics.

[ { "created": "Fri, 24 May 2002 16:47:50 GMT", "version": "v1" }, { "created": "Wed, 26 Jun 2002 20:42:33 GMT", "version": "v2" }, { "created": "Mon, 29 Jul 2002 13:37:18 GMT", "version": "v3" } ]

2015-06-26

[ [ "Henkel", "Malte", "" ] ]

Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are characterized by an anisotropy exponent theta or a dynamical exponent z. For a given value of theta, we construct local scale transformations which can be viewed as scale transformations with a space-time-dependent dilatation factor. Two distinct types of local scale transformations are found. The first type may describe strongly anisotropic scaling of static systems with a given value of theta, whereas the second type may describe dynamical scaling with a dynamical exponent z. Local scale transformations act as a dynamical symmetry group of certain non-local free-field theories. Known special cases of local scale invariance are conformal invariance for theta=1 and Schrodinger invariance for theta=2. The hypothesis of local scale invariance implies that two-point functions of quasiprimary operators satisfy certain linear fractional differential equations, which are constructed from commuting fractional derivatives. The explicit solution of these yields exact expressions for two-point correlators at equilibrium and for two-point response functions out of equilibrium. Aparticularly simple and general form is found for the two-time autoresponse function. These predictions are explicitly confirmed at the uniaxial Lifshitz points in the ANNNI and ANNNS models and in the aging behaviour of simple ferromagnets such as the kinetic Glauber-Ising model and the kinetic spherical model with a non-conserved order parameter undergoing either phase-ordering kinetics or non-equilibrium critical dynamics.

7.481026

8.644208

10.233472

8.726734

9.040893

9.445451

8.825368

8.683554

8.625613

10.379167

8.309365

8.071048

8.348989

7.96578

7.857269

8.332646

7.946025

8.122925

7.801491

8.110743

7.719788

hep-th/9405180

Kazutoshi Ohta

K. Ohta and H. Suzuki

Dirac operators on quantum two spheres

11 pages

Mod.Phys.Lett. A9 (1994) 2325-2334

10.1142/S0217732394002197

OU-HET 191

hep-th math.QA

null

We investigate the spin $1/2$ fermions on quantum two spheres. It is shown that the wave functions of fermions and a Dirac Operator on quantum two spheres can be constructed in a manifestly covariant way under the quantum group $SU(2)_q$. The concept of total angular momentum and chirality can be expressed by using $q$-analog of Pauli-matrices and appropriate commutation relations.

[ { "created": "Fri, 27 May 1994 12:23:43 GMT", "version": "v1" } ]

2009-10-28

[ [ "Ohta", "K.", "" ], [ "Suzuki", "H.", "" ] ]

We investigate the spin $1/2$ fermions on quantum two spheres. It is shown that the wave functions of fermions and a Dirac Operator on quantum two spheres can be constructed in a manifestly covariant way under the quantum group $SU(2)_q$. The concept of total angular momentum and chirality can be expressed by using $q$-analog of Pauli-matrices and appropriate commutation relations.

9.159949

8.180461

8.684376

8.163348

8.154405

8.727437

8.16389

8.350116

7.790204

8.313206

8.177004

8.364298

8.201255

8.309247

8.221941

8.552823

8.233645

8.55443

8.172741

8.722138

7.974584

hep-th/0602044

Branko Dragovich

p-Adic and Adelic Cosmology: p-Adic Origin of Dark Energy and Dark Matter

18 pages, to appear in the Proceedings of the '2nd International Conference on p-Adic Mathematical Physics' (Belgrade, 15-21 September 2005) published by AIP Conference Proceedings

null

10.1063/1.2193108

null

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

null

A brief review of p-adic and adelic cosmology is presented. In particular, p-adic and adelic aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the wave function of the universe are considered. p-Adic worlds made of p-adic matters, which are different from real world of ordinary matter, are introduced. Real world and p-adic worlds make the universe as a whole. p-Adic origin of the dark energy and dark matter are proposed and discussed.

[ { "created": "Sat, 4 Feb 2006 10:36:38 GMT", "version": "v1" } ]

2009-11-11

[ [ "Dragovich", "Branko", "" ] ]

A brief review of p-adic and adelic cosmology is presented. In particular, p-adic and adelic aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the wave function of the universe are considered. p-Adic worlds made of p-adic matters, which are different from real world of ordinary matter, are introduced. Real world and p-adic worlds make the universe as a whole. p-Adic origin of the dark energy and dark matter are proposed and discussed.

8.236595

7.434584

7.571828

7.139229

8.05134

7.617396

7.620623

6.947731

7.518027

7.484792

7.087483

7.407478

7.267817

7.193701

7.55193

7.320651

7.337873

7.578851

7.142345

7.173972

7.805295

1905.01295

Eugenio R. Bezerra de Mello

D\^eivid R. da Silva, M. B. Cruz and E. R. Bezerra de Mello

Fermionic Casimir effect in Horava-Lifshitz theories

19 pages, 2 figure. Version accepted for publication in IJMPA

International Journal of Modern Physics A, 34 (2019) 1950107

10.1142/S0217751X19501070

null

hep-th

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

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava-Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.

[ { "created": "Fri, 3 May 2019 17:53:42 GMT", "version": "v1" }, { "created": "Thu, 20 Jun 2019 12:55:15 GMT", "version": "v2" } ]

2019-07-22

[ [ "da Silva", "Dêivid R.", "" ], [ "Cruz", "M. B.", "" ], [ "de Mello", "E. R. Bezerra", "" ] ]

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava-Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.

9.053943

6.833847

9.04249

6.777154

6.804329

7.308927

6.524195

6.881425

6.53022

9.700624

7.194336

7.755876

8.664408

8.285865

7.907519

8.083373

7.823895

7.689474

8.122145

8.238392

8.168997

0912.4811

Koichi Murakami

Yutaka Baba, Nobuyuki Ishibashi, Koichi Murakami

Light-cone Gauge Superstring Field Theory and Dimensional Regularization II

23 pages; v2: minor modifications; v3: revised argument in section 3, added appendix C, results unchanged; v4: added clarifications, two figures and a footnote; v5: minor modifications

JHEP 1008:102,2010

10.1007/JHEP08(2010)102

UTHEP-600, RIKEN-TH-177

hep-th

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

We propose a dimensional regularization scheme to deal with the divergences caused by colliding supercurrents inserted at the interaction points, in the light-cone gauge NSR superstring field theory. We formulate the theory in $d$ dimensions and define the amplitudes as analytic functions of $d$. With an appropriately chosen three-string interaction term and large negative $d$, the tree level amplitudes for the (NS,NS) closed strings can be recast into a BRST invariant form, using the superconformal field theory proposed in Ref.[arXiv:0911.3704]. We show that in the limit $d \to 10$ they coincide with the results of the first quantized theory. Therefore we obtain the desired results without adding any contact interaction terms to the action.

[ { "created": "Thu, 24 Dec 2009 08:45:38 GMT", "version": "v1" }, { "created": "Thu, 18 Feb 2010 08:36:03 GMT", "version": "v2" }, { "created": "Tue, 25 May 2010 08:32:41 GMT", "version": "v3" }, { "created": "Fri, 9 Jul 2010 09:03:30 GMT", "version": "v4" }, { "created": "Tue, 3 Aug 2010 08:31:32 GMT", "version": "v5" } ]

2014-11-20

[ [ "Baba", "Yutaka", "" ], [ "Ishibashi", "Nobuyuki", "" ], [ "Murakami", "Koichi", "" ] ]

We propose a dimensional regularization scheme to deal with the divergences caused by colliding supercurrents inserted at the interaction points, in the light-cone gauge NSR superstring field theory. We formulate the theory in $d$ dimensions and define the amplitudes as analytic functions of $d$. With an appropriately chosen three-string interaction term and large negative $d$, the tree level amplitudes for the (NS,NS) closed strings can be recast into a BRST invariant form, using the superconformal field theory proposed in Ref.[arXiv:0911.3704]. We show that in the limit $d \to 10$ they coincide with the results of the first quantized theory. Therefore we obtain the desired results without adding any contact interaction terms to the action.

10.611178

9.641375

12.034864

9.256342

9.81466

10.049489

10.515612

9.672447

9.790071

12.916746

9.463152

9.886233

10.252391

9.799141

9.70155

9.927606

9.874424

9.707462

9.841559

10.656342

9.756076

hep-th/0508216

David Dudal

M. A. L. Capri, D. Dudal, J. A. Gracey, V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella, H. Verschelde

A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge

30 pages. 1 .eps figure

Phys.Rev. D73 (2006) 014001

10.1103/PhysRevD.73.014001

LTH-660

hep-th hep-lat

null

The ghost condensate <epsilon^{abc} cbar^b c^c> is considered together with the gluon condensate <A^2> in SU(2) Euclidean Yang-Mills theories quantized in the Landau gauge. The vacuum polarization ceases to be transverse due to the nonvanishing condensate <epsilon^{abc} cbar^b c^c>. The gluon propagator itself remains transverse. By polarization effects, this ghost condensate induces then a splitting in the gluon mass parameter, which is dynamically generated through <A^2>. The obtained effective masses are real when <A^2> is included in the analysis. In the absence of <A^2>, the already known result that the ghost condensate induces effective tachyonic masses is recovered. At the one-loop level, we find that the effective diagonal mass becomes smaller than the off-diagonal one. This might serve as an indication for some kind of Abelian dominance in the Landau gauge, similar to what happens in the maximal Abelian gauge.

[ { "created": "Mon, 29 Aug 2005 09:13:35 GMT", "version": "v1" } ]

2009-11-11

[ [ "Capri", "M. A. L.", "" ], [ "Dudal", "D.", "" ], [ "Gracey", "J. A.", "" ], [ "Lemes", "V. E. R.", "" ], [ "Sobreiro", "R. F.", "" ], [ "Sorella", "S. P.", "" ], [ "Verschelde", "H.", "" ] ]

The ghost condensate <epsilon^{abc} cbar^b c^c> is considered together with the gluon condensate <A^2> in SU(2) Euclidean Yang-Mills theories quantized in the Landau gauge. The vacuum polarization ceases to be transverse due to the nonvanishing condensate <epsilon^{abc} cbar^b c^c>. The gluon propagator itself remains transverse. By polarization effects, this ghost condensate induces then a splitting in the gluon mass parameter, which is dynamically generated through <A^2>. The obtained effective masses are real when <A^2> is included in the analysis. In the absence of <A^2>, the already known result that the ghost condensate induces effective tachyonic masses is recovered. At the one-loop level, we find that the effective diagonal mass becomes smaller than the off-diagonal one. This might serve as an indication for some kind of Abelian dominance in the Landau gauge, similar to what happens in the maximal Abelian gauge.

7.103377

5.788832

6.817795

6.053477

6.20662

5.923758

5.783341

5.789298

5.711351

6.643299

5.709072

6.396557

6.501799

6.122317

6.397834

6.392946

6.124854

6.633264

6.120676

6.399526

6.242994

hep-th/0605178

Alex Buchel

On jet quenching parameters in strongly coupled non-conformal gauge theories

14 pages, latex; v2: PRD version

Phys.Rev. D74 (2006) 046006

10.1103/PhysRevD.74.046006

UWO-TH-06/07

hep-th hep-ph

null

Recently Liu, Rajagopal and Wiedemann (LRW) [hep-ph/0605178] proposed a first principle, nonperturbative quantum field theoretic definition of ``jet quenching parameter'' \hat{q} used in models of medium-induced radiative parton energy loss in nucleus-nucleus collisions at RHIC. Relating \hat{q} to a short-distance behavior of a certain light-like Wilson loop, they used gauge theory-string theory correspondence to evaluate \hat{q} for the strongly coupled N=4 SU(N_c) gauge theory plasma. We generalize analysis of LRW to strongly coupled non-conformal gauge theory plasma. We find that a jet quenching parameter is gauge theory specific (not universal). Furthermore, it appears it's value increases as the number of effective adjoint degrees of freedom of a gauge theory plasma increases.

[ { "created": "Thu, 18 May 2006 15:51:26 GMT", "version": "v1" }, { "created": "Wed, 2 Aug 2006 20:42:50 GMT", "version": "v2" } ]

2009-11-11

[ [ "Buchel", "Alex", "" ] ]

Recently Liu, Rajagopal and Wiedemann (LRW) [hep-ph/0605178] proposed a first principle, nonperturbative quantum field theoretic definition of ``jet quenching parameter'' \hat{q} used in models of medium-induced radiative parton energy loss in nucleus-nucleus collisions at RHIC. Relating \hat{q} to a short-distance behavior of a certain light-like Wilson loop, they used gauge theory-string theory correspondence to evaluate \hat{q} for the strongly coupled N=4 SU(N_c) gauge theory plasma. We generalize analysis of LRW to strongly coupled non-conformal gauge theory plasma. We find that a jet quenching parameter is gauge theory specific (not universal). Furthermore, it appears it's value increases as the number of effective adjoint degrees of freedom of a gauge theory plasma increases.

7.201535

7.374955

7.174556

6.287961

6.736506

7.380789

7.290711

6.513193

6.408729

7.617238

6.529693

6.956136

6.619931

6.300742

6.414422

6.804308

6.541454

6.584638

6.455643

6.85326

6.538182

hep-th/9606059

Guillermo Zemba

M. Frau, A. Lerda, S. Sciuto and G. R. Zemba

The extended conformal theory of Luttinger systems

9 pages, plain Latex file, ,based on a talk given by S. Sciuto at the II International Sakharov Conference on Physics, Moscow, Russia, 20-24 May 96

Int.J.Mod.Phys.A12:1113-1122,1997

10.1142/S0217751X97000839

DFTT 21/96

hep-th cond-mat

null

We describe the recently introduced method of algebraic bosonization of the $(1+1)$-dimensional Luttinger systems by discussing in detail the specific case of the Calogero-Sutherland model, and mentioning the hard-core Bose gas. We also compare our findings with the exact Bethe Ansatz results.

[ { "created": "Tue, 11 Jun 1996 15:22:50 GMT", "version": "v1" } ]

2011-04-15

[ [ "Frau", "M.", "" ], [ "Lerda", "A.", "" ], [ "Sciuto", "S.", "" ], [ "Zemba", "G. R.", "" ] ]

We describe the recently introduced method of algebraic bosonization of the $(1+1)$-dimensional Luttinger systems by discussing in detail the specific case of the Calogero-Sutherland model, and mentioning the hard-core Bose gas. We also compare our findings with the exact Bethe Ansatz results.

12.053322

9.022331

14.409252

9.597684

8.967183

8.347593

9.811868

9.058418

9.354045

13.785794

10.332322

10.316316

12.023983

10.765757

10.71659

10.815812

10.85276

10.354579

10.782354

10.93789

10.64533

2003.03512

Shohei Uemura

Hiroyuki Abe, Tatsuo Kobayashi, Shohei Uemura and Junji Yamamoto

Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization

28 pages, 4 figures

Phys. Rev. D 102, 045005 (2020)

10.1103/PhysRevD.102.045005

EPHOU-20-003, WU-HEP-20-03, KUNS-2788

hep-th hep-ph

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

We study Fayet-Iliopoulos (FI) terms of six-dimensional supersymmetric Abelian gauge theory compactified on a $T^2/Z_2$ orbifold. Such orbifold compactifications can lead to localized FI-terms and instability of bulk zero modes. We study 1-loop correction to FI-terms in more general geometry than the previous works. We find induced FI-terms depend on the complex structure of the compact space. We also find the complex structure of the torus can be stabilized at a specific value corresponding to a self-consistent supersymmetric minimum of the potential by such 1-loop corrections, which is applicable to the modulus stabilization.

[ { "created": "Sat, 7 Mar 2020 04:17:59 GMT", "version": "v1" }, { "created": "Mon, 3 Aug 2020 07:44:49 GMT", "version": "v2" } ]

2020-08-12

[ [ "Abe", "Hiroyuki", "" ], [ "Kobayashi", "Tatsuo", "" ], [ "Uemura", "Shohei", "" ], [ "Yamamoto", "Junji", "" ] ]

We study Fayet-Iliopoulos (FI) terms of six-dimensional supersymmetric Abelian gauge theory compactified on a $T^2/Z_2$ orbifold. Such orbifold compactifications can lead to localized FI-terms and instability of bulk zero modes. We study 1-loop correction to FI-terms in more general geometry than the previous works. We find induced FI-terms depend on the complex structure of the compact space. We also find the complex structure of the torus can be stabilized at a specific value corresponding to a self-consistent supersymmetric minimum of the potential by such 1-loop corrections, which is applicable to the modulus stabilization.

9.586701

8.215812

8.097734

7.736866

7.620032

7.557359

8.575999

8.113901

7.589504

8.610579

7.629066

8.459854

8.184993

8.408985

8.180508

8.163511

8.196911

8.295739

8.577581

8.070359

8.374588

hep-th/0103073

A. Hatzinikitas

Agapitos Hatzinikitas and Renato Portugal

The d=6 trace anomaly from quantum field theory four-loop graphs in one dimension

23 pages, 17 figures

Nucl.Phys. B613 (2001) 237-259

10.1016/S0550-3213(01)00098-0

null

hep-th

null

We calculate the integrated trace anomaly for a real spin-0 scalar field in six dimensions in a torsionless curved space without a boundary. We use a path integral approach for a corresponding supersymmetric quantum mechanical model. Weyl ordering the corresponding Hamiltonian in phase space, an extra two-loop counterterm ${1/8}\bigg(R + g^{ij} \Gamma^{l}_{k i} \Gamma^{k}_{l j} \bigg)$ is produced in the action. Applying a recursive method we evaluate the components of the metric tensor in Riemann normal coordinates in six dimensions and construct the interaction Langrangian density by employing the background field method. The calculation of the anomaly is based on the end-point scalar propagator and not on the string inspired center-of-mass propagator which gives incorrect results for the local trace anomaly. The manipulation of the Feynman diagrams is partly relied on the factorization of four dimensional subdiagrams and partly on a brute force computer algebra program developed to serve this specific purpose. The computer program enables one to perform index contractions of twelve quantum fields (10395 in the present case) a task which cannot be accomplished otherwise. We observe that the contribution of the disconnected diagrams is no longer proportional to the two dimensional trace anomaly (which vanishes in four dimensions). The integrated trace anomaly is finally expressed in terms of the 17 linearly independent scalar monomials constructed out of covariant derivatives and Riemann tensors.

[ { "created": "Sat, 10 Mar 2001 09:50:33 GMT", "version": "v1" } ]

2009-11-07

[ [ "Hatzinikitas", "Agapitos", "" ], [ "Portugal", "Renato", "" ] ]

We calculate the integrated trace anomaly for a real spin-0 scalar field in six dimensions in a torsionless curved space without a boundary. We use a path integral approach for a corresponding supersymmetric quantum mechanical model. Weyl ordering the corresponding Hamiltonian in phase space, an extra two-loop counterterm ${1/8}\bigg(R + g^{ij} \Gamma^{l}_{k i} \Gamma^{k}_{l j} \bigg)$ is produced in the action. Applying a recursive method we evaluate the components of the metric tensor in Riemann normal coordinates in six dimensions and construct the interaction Langrangian density by employing the background field method. The calculation of the anomaly is based on the end-point scalar propagator and not on the string inspired center-of-mass propagator which gives incorrect results for the local trace anomaly. The manipulation of the Feynman diagrams is partly relied on the factorization of four dimensional subdiagrams and partly on a brute force computer algebra program developed to serve this specific purpose. The computer program enables one to perform index contractions of twelve quantum fields (10395 in the present case) a task which cannot be accomplished otherwise. We observe that the contribution of the disconnected diagrams is no longer proportional to the two dimensional trace anomaly (which vanishes in four dimensions). The integrated trace anomaly is finally expressed in terms of the 17 linearly independent scalar monomials constructed out of covariant derivatives and Riemann tensors.

14.86159

16.408228

16.152075

14.982677

15.747554

15.958539

16.03791

15.720023

15.001205

18.049374

15.362711

15.17046

14.908422

14.693239

15.314839

15.275576

15.360864

14.85389

14.763891

14.794967

14.587967

hep-th/0204236

Mark D. Roberts

The Rotation and Shear of a String

version 3: some sub/superscript corrections on the internal labels of the Nambu-Goto string, version 2: 17 pages, result generalized and contact established with the approach of others

Class.Quant.Grav.20:507-520,2003

10.1088/0264-9381/20/3/308

null

hep-th gr-qc

null

Whether a string has rotation and shear can be investigated by an anology with the point particle. Rotation and shear involve first covariant spacetime derivatives of a vector field and, because the metric stress tensor for both the point particle and the string have no such derivatives, the best vector fields can be identified by requiring the conservation of the metric stress. It is found that the best vector field is a non-unit accelerating field in x, rather than a unit non-accelerating vector involving the momenta; it is also found that there is an equation obeyed by the spacetime derivative of the Lagrangian. The relationship between membranes and fluids is looked at.

[ { "created": "Sun, 28 Apr 2002 19:51:04 GMT", "version": "v1" }, { "created": "Wed, 29 May 2002 18:35:45 GMT", "version": "v2" }, { "created": "Sun, 25 Aug 2002 17:47:55 GMT", "version": "v3" } ]

2011-04-04

[ [ "Roberts", "Mark D.", "" ] ]

Whether a string has rotation and shear can be investigated by an anology with the point particle. Rotation and shear involve first covariant spacetime derivatives of a vector field and, because the metric stress tensor for both the point particle and the string have no such derivatives, the best vector fields can be identified by requiring the conservation of the metric stress. It is found that the best vector field is a non-unit accelerating field in x, rather than a unit non-accelerating vector involving the momenta; it is also found that there is an equation obeyed by the spacetime derivative of the Lagrangian. The relationship between membranes and fluids is looked at.

24.096657

23.57519

21.746664

20.049314

23.833712

24.46151

22.895916

22.195854

22.142401

23.049721

22.952799

19.521044

19.991867

19.706245

21.1766

20.66572

21.022133

21.30686

20.136143

19.864544

21.015833

1004.0982

Andre Lehum

A. F. Ferrari, E. A. Gallegos, M. Gomes, A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva

Coleman-Weinberg mechanism in a three-dimensional supersymmetric Chern-Simons-matter model

14 pages, 2 figures. Minor corrections, references added. Journal version

Phys.Rev.D82:025002,2010

10.1103/PhysRevD.82.025002

null

hep-th

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

Using the superfield formalism, we study the dynamical breaking of gauge symmetry in the N=1 three-dimensional supersymmetric Chern-Simons model, coupled to a complex scalar superfield with a quartic self-coupling. This is an analogue of the conformally invariant Coleman-Weinberg model in four spacetime dimensions. We show that a mass for the gauge and matter superfields are dynamically generated after two-loop corrections to the effective superpotential. We also discuss the N=2 extension of our work, showing that the Coleman-Weinberg mechanism in such model is not feasible, because it is incompatible with perturbation theory.

[ { "created": "Tue, 6 Apr 2010 22:38:26 GMT", "version": "v1" }, { "created": "Mon, 5 Jul 2010 14:30:05 GMT", "version": "v2" } ]

2014-11-20

[ [ "Ferrari", "A. F.", "" ], [ "Gallegos", "E. A.", "" ], [ "Gomes", "M.", "" ], [ "Lehum", "A. C.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "da Silva", "A. J.", "" ] ]

Using the superfield formalism, we study the dynamical breaking of gauge symmetry in the N=1 three-dimensional supersymmetric Chern-Simons model, coupled to a complex scalar superfield with a quartic self-coupling. This is an analogue of the conformally invariant Coleman-Weinberg model in four spacetime dimensions. We show that a mass for the gauge and matter superfields are dynamically generated after two-loop corrections to the effective superpotential. We also discuss the N=2 extension of our work, showing that the Coleman-Weinberg mechanism in such model is not feasible, because it is incompatible with perturbation theory.

6.395848

5.922252

6.262093

5.907641

5.897185

5.605068

5.613126

5.698672

5.879224

6.944394

6.036189

5.97194

6.151499

5.92802

6.014525

5.892434

5.864205

5.97488

5.917155

6.422234

5.882042

hep-th/9603104

null

Gianfranco Pradisi (Universita' di Roma "Tor Vergata" and INFN, Sezione di Roma "Tor Vergata")

Open Superstrings

22 pages, Latex, 5 figures, Talk Presented at the "IV Italian-Korean Meeting on Relativistic Astrophysics", Rome-Gran Sasso-Pescara, July 1995; Two references added

Nuovo Cim. B112 (1997) 467-483

null

ROM2F-96/14

hep-th

null

We review the basic principles of the construction of open and unoriented superstring models and analyze some representative examples.

[ { "created": "Fri, 15 Mar 1996 16:19:38 GMT", "version": "v1" }, { "created": "Fri, 5 Apr 1996 19:25:31 GMT", "version": "v2" } ]

2008-02-03

[ [ "Pradisi", "Gianfranco", "", "Universita' di Roma \"Tor Vergata\" and INFN,\n Sezione di Roma \"Tor Vergata\"" ] ]

We review the basic principles of the construction of open and unoriented superstring models and analyze some representative examples.

32.029644

10.774152

16.918642

12.977365

11.269738

12.942157

13.387303

12.831179

13.32536

26.590342

10.827146

13.859093

23.530933

15.554949

15.195372

16.409218

14.648174

13.478967

15.177115

21.97901

14.273727

1105.5952

Yuichi Mizutani

Yuichi Mizutani, Tomohiro Inagaki, Yusuke Nakamura and Yoshiya Yamanaka

Canonical Quantization for a Relativistic Neutral Scalar Field in Non-equilibrium Thermo Field Dynamics

20 pages, 2 figures

Prog. Theor. Phys. 126 (2011), 681-701

10.1143/PTP.126.681

null

hep-th

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

A relativistic neutral scalar field is investigated in non-equilibrium thermo field dynamics. The canonical quantization is applied to the fields out of equilibrium. Because the thermal Bogoliubov transformation becomes time-dependent, the equations of motion for the ordinary unperturbed creation and annihilation operators are modified. This forces us to introduce a thermal counter term in the interaction Hamiltonian which generates additional radiative corrections. Imposing the self-consistency renormalization condition on the total radiative corrections, we obtain the quantum Boltzmann equation for the relativistic scalar field.

[ { "created": "Mon, 30 May 2011 12:03:51 GMT", "version": "v1" }, { "created": "Mon, 5 Sep 2011 05:47:11 GMT", "version": "v2" } ]

2011-11-03

[ [ "Mizutani", "Yuichi", "" ], [ "Inagaki", "Tomohiro", "" ], [ "Nakamura", "Yusuke", "" ], [ "Yamanaka", "Yoshiya", "" ] ]

A relativistic neutral scalar field is investigated in non-equilibrium thermo field dynamics. The canonical quantization is applied to the fields out of equilibrium. Because the thermal Bogoliubov transformation becomes time-dependent, the equations of motion for the ordinary unperturbed creation and annihilation operators are modified. This forces us to introduce a thermal counter term in the interaction Hamiltonian which generates additional radiative corrections. Imposing the self-consistency renormalization condition on the total radiative corrections, we obtain the quantum Boltzmann equation for the relativistic scalar field.

9.606173

9.717623

8.887719

8.636114

9.349034

9.95672

9.378687

9.488948

8.972983

10.118114

9.025124

9.147804

9.05514

8.793123

9.279594

9.235682

8.929235

9.301489

9.099201

8.896111

9.152349

2103.05458

Zhenghao Zhong

Antoine Bourget, Andrew Dancer, Julius F. Grimminger, Amihay Hanany, Frances Kirwan and Zhenghao Zhong

Orthosymplectic Implosions

null

10.1007/JHEP08(2021)012

null

hep-th math.AG math.SG

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

We propose quivers for Coulomb branch constructions of universal implosions for orthogonal and symplectic groups, extending the work on special unitary groups in arXiv:2004.09620. The quivers are unitary-orthosymplectic as opposed to the purely unitary quivers in the A-type case. Where possible we check our proposals using Hilbert series techniques.

[ { "created": "Tue, 9 Mar 2021 14:50:30 GMT", "version": "v1" } ]

2021-08-18

[ [ "Bourget", "Antoine", "" ], [ "Dancer", "Andrew", "" ], [ "Grimminger", "Julius F.", "" ], [ "Hanany", "Amihay", "" ], [ "Kirwan", "Frances", "" ], [ "Zhong", "Zhenghao", "" ] ]

We propose quivers for Coulomb branch constructions of universal implosions for orthogonal and symplectic groups, extending the work on special unitary groups in arXiv:2004.09620. The quivers are unitary-orthosymplectic as opposed to the purely unitary quivers in the A-type case. Where possible we check our proposals using Hilbert series techniques.

14.517433

10.729959

16.202278

11.467528

11.011706

11.24493

12.216528

11.030802

10.422295

15.898129

11.725962

12.593337

14.848366

12.136674

12.914659

12.871012

13.16185

11.61377

12.554251

15.019224

12.512441

hep-th/0004007

Aalok Misra

A. Misra (Institute of Physics, Bhubaneswar, Orissa, India)

Field-Dependent BRS Tranformations and Correct Prescription for 1/(n.k)^p-Type Singularities in Axial Gauges

4 pages, LaTex, uses Moriond.sty; talk given at the XXXVth Rencontres de Moriond session on QCD And High Energy Hadronic Interactions, Les Arcs 1800, France, Mar 18-25

null

hep-th hep-ph

null

The axial-gauge boson propagator contains 1/(n.k)^p-type singularities. These singularities have generally been treated by inventing prescriptions for them. We propose an alternative procedere for treating these singularities in the path-integral formalism using the known way of treating the 1/k^{2n}-type singularities in Lorentz-type gauges. For this purpose we use a finite field-dependent BRS transformation that inerpolates between the Lorentz and axial-type gauges. We arrive at the \epsilon-dependent tree propagator in axial-type gauges.

[ { "created": "Mon, 3 Apr 2000 07:53:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Misra", "A.", "", "Institute of Physics, Bhubaneswar, Orissa, India" ] ]

The axial-gauge boson propagator contains 1/(n.k)^p-type singularities. These singularities have generally been treated by inventing prescriptions for them. We propose an alternative procedere for treating these singularities in the path-integral formalism using the known way of treating the 1/k^{2n}-type singularities in Lorentz-type gauges. For this purpose we use a finite field-dependent BRS transformation that inerpolates between the Lorentz and axial-type gauges. We arrive at the \epsilon-dependent tree propagator in axial-type gauges.

16.526215

12.308777

16.595125

13.711376

13.496239

13.210684

13.795352

12.455254

12.341363

19.176743

14.118766

13.484316

14.930582

14.050713

14.162647

14.856796

14.218045

13.929852

14.22869

15.186342

14.912669

1502.00985

Gabriele Honecker

Gabriele Honecker and Wieland Staessens

Discrete Abelian gauge symmetries and axions

Contribution to the proceedings of DISCRETE2014; 13 pages

null

10.1088/1742-6596/631/1/012080

MITP/15-006; IFT-UAM/CSIC-15-008

hep-th hep-ph

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

We combine two popular extensions of beyond the Standard Model physics within the framework of intersecting D6-brane models: discrete Zn symmetries and Peccei-Quinn axions. The underlying natural connection between both extensions is formed by the presence of massive U(1) gauge symmetries in D-brane model building. Global intersecting D6-brane models on toroidal orbifolds of the type T6/Z2N and T6/Z2xZ2M with discrete torsion offer excellent playgrounds for realizing these extensions. A generation-dependent Z2 symmetry is identified in a global Pati-Salam model, while global left-right symmetric models give rise to supersymmetric realizations of the DFSZ axion model. In one class of the latter models, the axion as well as Standard Model particles carry a non-trivial Z3 charge.

[ { "created": "Tue, 3 Feb 2015 19:55:13 GMT", "version": "v1" } ]

2015-09-02

[ [ "Honecker", "Gabriele", "" ], [ "Staessens", "Wieland", "" ] ]

We combine two popular extensions of beyond the Standard Model physics within the framework of intersecting D6-brane models: discrete Zn symmetries and Peccei-Quinn axions. The underlying natural connection between both extensions is formed by the presence of massive U(1) gauge symmetries in D-brane model building. Global intersecting D6-brane models on toroidal orbifolds of the type T6/Z2N and T6/Z2xZ2M with discrete torsion offer excellent playgrounds for realizing these extensions. A generation-dependent Z2 symmetry is identified in a global Pati-Salam model, while global left-right symmetric models give rise to supersymmetric realizations of the DFSZ axion model. In one class of the latter models, the axion as well as Standard Model particles carry a non-trivial Z3 charge.

8.814343

9.434863

9.977681

9.015017

8.7687

8.233063

9.455931

8.19063

8.528179

11.232555

8.720916

8.461394

9.439215

8.8661

8.732337

8.717145

8.783962

8.645405

8.584705

9.710369

8.872291

2010.02016

Amin Faraji Astaneh

Mohsen Alishahiha, Amin Faraji Astaneh, Ghadir Jafari, Ali Naseh and Behrad Taghavi

On Free Energy for Deformed JT Gravity

26 pages, 4 figures. fig.4 is updated. more explanations and clarifying comments about dual matrix model, more references, published version

Phys. Rev. D 103, 046005 (2021)

10.1103/PhysRevD.103.046005

null

hep-th gr-qc

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

In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci and independently by Witten. We will compute the partition function of this model as well as its higher order correlators to all orders in genus expansion in the low temperature limit for small perturbations. In this limit, the results match with those obtained from the Airy limit of a Hermitian random matrix ensemble. Using this result, we will also study the free energy of the model. One observes that although the annealed free energy has pathological behaviors, under certain assumptions, the quenched free energy evaluated by replica trick exhibits the desired properties at low temperatures.

[ { "created": "Mon, 5 Oct 2020 13:47:07 GMT", "version": "v1" }, { "created": "Fri, 23 Oct 2020 12:53:25 GMT", "version": "v2" }, { "created": "Wed, 17 Feb 2021 17:43:19 GMT", "version": "v3" } ]

2021-02-18

[ [ "Alishahiha", "Mohsen", "" ], [ "Astaneh", "Amin Faraji", "" ], [ "Jafari", "Ghadir", "" ], [ "Naseh", "Ali", "" ], [ "Taghavi", "Behrad", "" ] ]

In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci and independently by Witten. We will compute the partition function of this model as well as its higher order correlators to all orders in genus expansion in the low temperature limit for small perturbations. In this limit, the results match with those obtained from the Airy limit of a Hermitian random matrix ensemble. Using this result, we will also study the free energy of the model. One observes that although the annealed free energy has pathological behaviors, under certain assumptions, the quenched free energy evaluated by replica trick exhibits the desired properties at low temperatures.

10.504436

9.806606

11.074916

9.630244

9.352214

9.13435

9.274379

9.658381

9.211574

11.289878

9.842263

9.448577

10.485108

9.313267

9.3564

8.897975

9.526044

9.215253

9.507345

10.069098

9.45343

hep-th/9707010

Erhard Seiler

A. Patrascioiu, E. Seiler

Comment on "Scaling Hypothesis for the Spectral Densities in the Nonlinear Sigma Model"

3 pages

null

10.1103/PhysRevLett.80.639

null

hep-th

null

We comment on the recent paper by Balog and Niedermaier [hep-th/9701156].

[ { "created": "Tue, 1 Jul 1997 13:52:57 GMT", "version": "v1" } ]

2009-10-30

[ [ "Patrascioiu", "A.", "" ], [ "Seiler", "E.", "" ] ]

We comment on the recent paper by Balog and Niedermaier [hep-th/9701156].

27.824444

12.490887

15.222481

10.860717

13.122139

10.987273

12.689896

11.327109

11.183758

16.980928

10.931385

11.567109

12.302612

11.722586

11.107829

10.974818

11.157777

12.184449

11.582052

12.451375

13.073878

hep-th/9511013

null

L. Frappat, A. Sciarrino, S. Sciuto, P. Sorba

Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N)

13p LaTeX Document (should be run twice)

Phys.Lett.B369:313-324,1996

10.1016/0370-2693(95)01518-3

ENSLAPP-AL-552/95, DSF-T-40/95, DFTT-60/95

hep-th math.QA q-alg

null

We give a realization of quantum affine Lie algebra $U_q(\hat A_{N-1})$ in terms of anyons defined on a two-dimensional lattice, the deformation parameter $q$ being related to the statistical parameter $\nu$ of the anyons by $q = e^{i\pi\nu}$. In the limit of the deformation parameter going to one we recover the Feingold-Frenkel fermionic construction of undeformed affine Lie algebra.

[ { "created": "Thu, 2 Nov 1995 16:40:52 GMT", "version": "v1" } ]

2008-11-26

[ [ "Frappat", "L.", "" ], [ "Sciarrino", "A.", "" ], [ "Sciuto", "S.", "" ], [ "Sorba", "P.", "" ] ]

We give a realization of quantum affine Lie algebra $U_q(\hat A_{N-1})$ in terms of anyons defined on a two-dimensional lattice, the deformation parameter $q$ being related to the statistical parameter $\nu$ of the anyons by $q = e^{i\pi\nu}$. In the limit of the deformation parameter going to one we recover the Feingold-Frenkel fermionic construction of undeformed affine Lie algebra.

6.545002

6.588776

7.582793

5.786709

6.549057

5.287752

5.801715

6.09028

5.862566

6.68778

5.844668

5.291348

6.058195

5.697935

5.517374

5.441286

5.673084

5.431736

5.540777

6.17651

5.379322

1307.5341

Carlos M. Reyes

Unitarity, ghosts and nonminimal terms in Lorentz violating QED

Presented at the Sixth Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, June 17-21, 2013

null

10.1142/9789814566438_0057

null

hep-th hep-ph

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

The unitarity of a Lorentz-invariance violating QED model with higher-order Myers and Pospelov photons coupled to standard fermions is studied. As expected, we find ghost states associated to the higher-order terms that may lead to the loss of unitarity. An explicit calculation to check perturbative unitarity in the process of electron-positron scattering is performed and it is found to be possible to be preserved.

[ { "created": "Fri, 19 Jul 2013 21:33:31 GMT", "version": "v1" } ]

2017-08-23

[ [ "Reyes", "Carlos M.", "" ] ]

The unitarity of a Lorentz-invariance violating QED model with higher-order Myers and Pospelov photons coupled to standard fermions is studied. As expected, we find ghost states associated to the higher-order terms that may lead to the loss of unitarity. An explicit calculation to check perturbative unitarity in the process of electron-positron scattering is performed and it is found to be possible to be preserved.

11.164813

8.331858

9.82346

9.048493

9.127386

9.768866

9.794848

8.403951

9.584513

9.729119

10.067588

9.463249

9.797074

9.539598

9.615637

9.742304

9.355631

9.403038

9.652649

10.084916

9.631805

1008.2148

Ivan Gonzalez

Iv\'an Gonz\'alez

Method of Brackets and Feynman diagrams evaluation

6 pages, 2 figures. Published in Proc. of 'Loops and Legs in Quantum Field Theory'', April, 2010, W\'orlitz, Germany

null

10.1016/j.nuclphysbps.2010.08.033

null

hep-th

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

In this work we present the relation between method of brackets and the master theorem of Ramanujan in the evaluation of multivariable integrals, in this case Feynman diagrams.

[ { "created": "Thu, 12 Aug 2010 15:52:23 GMT", "version": "v1" } ]

2015-05-19

[ [ "González", "Iván", "" ] ]

In this work we present the relation between method of brackets and the master theorem of Ramanujan in the evaluation of multivariable integrals, in this case Feynman diagrams.

20.501842

18.012846

17.329956

16.986517

18.951727

20.288258

16.659885

21.681124

16.880957

23.711046

15.761268

17.034065

20.976343

18.140118

17.963852

17.382795

17.517296

17.72831

16.635944

20.178284

17.817419

hep-th/0505044

Amitabh Virmani

Donald Marolf, Amitabh Virmani

A black hole instability in five dimensions?

25 pages, 4 figures; v2: references added

JHEP 0511 (2005) 026

10.1088/1126-6708/2005/11/026

null

hep-th

null

We study the moduli-space scattering of a two-charge supertube in the background of a rotating BPS D1-D5-P black hole in 4+1 dimensions, extending the static analysis of Bena and Kraus (hep-th/0402144). While the magnetic forces associated with this motion change the details considerably, the final conclusion is similar to that of the static analysis: we find that one can bring the supertube to the horizon, so that the BMPV black hole and the supertube merge. However, our analysis shows that this can occur even at significantly larger values of the angular momentum than was indicated by the static analysis. For a range of parameters, conservation laws and the area theorem forbid the result of the merger from being any single known object: neither near-extremal black holes nor non-supersymmetric black rings are allowed. Such results suggest that the merger triggers an instability of the rotating D1-D5-P black hole, perhaps leading to bifurcation into a pair of black objects.

[ { "created": "Wed, 4 May 2005 22:38:40 GMT", "version": "v1" }, { "created": "Sun, 29 May 2005 07:41:13 GMT", "version": "v2" } ]

2009-11-11

[ [ "Marolf", "Donald", "" ], [ "Virmani", "Amitabh", "" ] ]

We study the moduli-space scattering of a two-charge supertube in the background of a rotating BPS D1-D5-P black hole in 4+1 dimensions, extending the static analysis of Bena and Kraus (hep-th/0402144). While the magnetic forces associated with this motion change the details considerably, the final conclusion is similar to that of the static analysis: we find that one can bring the supertube to the horizon, so that the BMPV black hole and the supertube merge. However, our analysis shows that this can occur even at significantly larger values of the angular momentum than was indicated by the static analysis. For a range of parameters, conservation laws and the area theorem forbid the result of the merger from being any single known object: neither near-extremal black holes nor non-supersymmetric black rings are allowed. Such results suggest that the merger triggers an instability of the rotating D1-D5-P black hole, perhaps leading to bifurcation into a pair of black objects.

9.81265

9.775503

10.496952

9.789309

9.590641

10.054892

9.593465

9.326528

9.388124

10.919526

9.592999

9.513125

9.922315

9.351159

9.310478

9.449799

8.978456

8.8626

9.538448

9.916461

9.276147

2005.03680

Sergei Alexandrov

Vafa-Witten invariants from modular anomaly

26+25 pages, 1 figure; a clarification added; numerous improvements of the presentation, version accepted for publication in Commun.Num.Theor.Phys; references updated

null

L2C:20-039

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

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

Recently, a universal formula for a non-holomorphic modular completion of the generating functions of refined BPS indices in various theories with $N=2$ supersymmetry has been suggested. It expresses the completion through the holomorphic generating functions of lower ranks. Here we show that for $U(N)$ Vafa-Witten theory on Hirzebruch and del Pezzo surfaces this formula can be used to extract the holomorphic functions themselves, thereby providing the Betti numbers of instanton moduli spaces on such surfaces. As a result, we derive a closed formula for the generating functions and their completions for all $N$. Besides, our construction reveals in a simple way instances of fiber-base duality, which can be used to derive new non-trivial identities for generalized Appell functions. It also suggests the existence of new invariants, whose meaning however remains obscure.

[ { "created": "Thu, 7 May 2020 18:00:58 GMT", "version": "v1" }, { "created": "Sat, 16 May 2020 23:34:27 GMT", "version": "v2" }, { "created": "Thu, 22 Oct 2020 01:00:16 GMT", "version": "v3" }, { "created": "Wed, 11 Nov 2020 18:21:40 GMT", "version": "v4" } ]

2020-11-12

[ [ "Alexandrov", "Sergei", "" ] ]

Recently, a universal formula for a non-holomorphic modular completion of the generating functions of refined BPS indices in various theories with $N=2$ supersymmetry has been suggested. It expresses the completion through the holomorphic generating functions of lower ranks. Here we show that for $U(N)$ Vafa-Witten theory on Hirzebruch and del Pezzo surfaces this formula can be used to extract the holomorphic functions themselves, thereby providing the Betti numbers of instanton moduli spaces on such surfaces. As a result, we derive a closed formula for the generating functions and their completions for all $N$. Besides, our construction reveals in a simple way instances of fiber-base duality, which can be used to derive new non-trivial identities for generalized Appell functions. It also suggests the existence of new invariants, whose meaning however remains obscure.

9.542997

8.682219

11.241896

8.244621

8.61487

8.973092

8.936741

7.965147

8.405443

11.709661

8.30072

8.490552

9.44553

8.737672

8.510444

8.283455

8.509612

8.604556

8.459464

9.108165

8.353246

1309.2577

Savdeep Sethi

Travis Maxfield, Jock McOrist, Daniel Robbins, Savdeep Sethi

New Examples of Flux Vacua

38 pages, LaTeX; references updated; additional minor comments added; published version

null

10.1007/JHEP12(2013)032

EFI-13-20, DMUS-MP-13/18

hep-th

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

Type IIB toroidal orientifolds are among the earliest examples of flux vacua. By applying T-duality, we construct the first examples of massive IIA flux vacua with Minkowski space-times, along with new examples of type IIA flux vacua. The backgrounds are surprisingly simple with no four-form flux at all. They serve as illustrations of the ingredients needed to build type IIA and massive IIA solutions with scale separation. To check that these backgrounds are actually solutions, we formulate the complete set of type II supergravity equations of motion in a very useful form that treats the R-R fields democratically.

[ { "created": "Tue, 10 Sep 2013 17:17:32 GMT", "version": "v1" }, { "created": "Tue, 17 Sep 2013 16:27:25 GMT", "version": "v2" }, { "created": "Thu, 10 Oct 2013 19:15:53 GMT", "version": "v3" }, { "created": "Thu, 21 Nov 2013 04:00:08 GMT", "version": "v4" } ]

2015-06-17

[ [ "Maxfield", "Travis", "" ], [ "McOrist", "Jock", "" ], [ "Robbins", "Daniel", "" ], [ "Sethi", "Savdeep", "" ] ]

Type IIB toroidal orientifolds are among the earliest examples of flux vacua. By applying T-duality, we construct the first examples of massive IIA flux vacua with Minkowski space-times, along with new examples of type IIA flux vacua. The backgrounds are surprisingly simple with no four-form flux at all. They serve as illustrations of the ingredients needed to build type IIA and massive IIA solutions with scale separation. To check that these backgrounds are actually solutions, we formulate the complete set of type II supergravity equations of motion in a very useful form that treats the R-R fields democratically.

9.691504

10.484509

11.377951

9.050891

9.248883

9.693107

9.232133

9.185257

8.975345

12.511127

8.993748

9.052725

10.882091

8.844036

8.675043

9.359334

9.09881

9.003136

9.192458

10.204386

9.077892

1611.08856

Amir Abbass Varshovi

Gauge Fixing Invariance and Anti-BRST Symmetry

17 pages

null

hep-th

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

It is shown that anti-BRST invariance in quantum gauge theories can be considered as the quantized version of the symmetry of classical gauge theories with respect to different gauge fixing mechanisms.

[ { "created": "Sun, 27 Nov 2016 14:41:56 GMT", "version": "v1" }, { "created": "Wed, 1 Feb 2017 08:20:51 GMT", "version": "v2" }, { "created": "Sun, 5 Feb 2017 12:15:59 GMT", "version": "v3" } ]

2017-02-07

[ [ "Varshovi", "Amir Abbass", "" ] ]

It is shown that anti-BRST invariance in quantum gauge theories can be considered as the quantized version of the symmetry of classical gauge theories with respect to different gauge fixing mechanisms.

11.883551

8.127429

10.850147

8.349281

8.942557

7.749084

8.316718

7.04367

8.177744

12.445722

7.51699

7.98228

9.535337

8.688796

8.954059

9.128055

8.834074

8.858232

9.132805

10.973246

8.770425

0708.0955

Anton Zeitlin

Anton M. Zeitlin

Formal Maurer-Cartan Structures: from CFT to Classical Field Equations

LaTeX2e, 26 pages; typos corrected, references added

JHEP 0712:098,2007

10.1088/1126-6708/2007/12/098

null

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

null

We show how the well-known classical field equations as Einstein and Yang-Mills ones, which arise as the conformal invariance conditions of certain two-dimensional theories, expanded up to the second order in the formal parameter, can be reformulated as Generalized/formal Maurer-Cartan equations (GMC), where the differential is the BRST operator of String theory. We introduce the bilinear operations which are present in GMC, and study their properties, allowing us to find the symmetries of the resulting equations which will be naturally identified with the diffeomorphism and gauge symmetries of Einstein and Yang-Mills equations correspondingly.

[ { "created": "Tue, 7 Aug 2007 14:01:12 GMT", "version": "v1" }, { "created": "Mon, 19 Nov 2007 20:09:13 GMT", "version": "v2" } ]

2009-04-03

[ [ "Zeitlin", "Anton M.", "" ] ]

We show how the well-known classical field equations as Einstein and Yang-Mills ones, which arise as the conformal invariance conditions of certain two-dimensional theories, expanded up to the second order in the formal parameter, can be reformulated as Generalized/formal Maurer-Cartan equations (GMC), where the differential is the BRST operator of String theory. We introduce the bilinear operations which are present in GMC, and study their properties, allowing us to find the symmetries of the resulting equations which will be naturally identified with the diffeomorphism and gauge symmetries of Einstein and Yang-Mills equations correspondingly.

12.296306

11.78156

13.903978

11.398363

11.341521

12.471483

12.368114

11.447025

11.366788

13.012794

11.656247

11.892674

12.107813

12.048117

12.40612

11.49081

11.995876

11.657351

12.063996

12.315009

11.798831

2307.03634

Abdelmalek Boumali

Abdelmalek Bouzenada, Abdelmalek Boumali, Edilberto O. Silva

Applications of the Klein-Gordon equation in the Feshbach-Villars representation in the non-inertial cosmic string space-time

null

hep-th

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

We study the relativistic quantum motion of a spineless particle using the Feshbach-Villars (FV) formalism in the spinning cosmic string spacetime. The movement equations are derived using the first-order FV formulation of the Klein-Gordon (KG) equation. We apply the equation of motion (a) to study the motion of the particle confined to a rigid-wall potential, (b) motion in the presence of a Coulomb-type potential, and (c) particle interacting with the Feshbach-Villars oscillator (FVO). The energy levels and wave functions are obtained for the three cases. Our study focused on the impact of rotation and curvature on the energy levels of the particle

[ { "created": "Fri, 7 Jul 2023 14:48:09 GMT", "version": "v1" } ]

2023-07-10

[ [ "Bouzenada", "Abdelmalek", "" ], [ "Boumali", "Abdelmalek", "" ], [ "Silva", "Edilberto O.", "" ] ]

We study the relativistic quantum motion of a spineless particle using the Feshbach-Villars (FV) formalism in the spinning cosmic string spacetime. The movement equations are derived using the first-order FV formulation of the Klein-Gordon (KG) equation. We apply the equation of motion (a) to study the motion of the particle confined to a rigid-wall potential, (b) motion in the presence of a Coulomb-type potential, and (c) particle interacting with the Feshbach-Villars oscillator (FVO). The energy levels and wave functions are obtained for the three cases. Our study focused on the impact of rotation and curvature on the energy levels of the particle

7.138486

6.696585

6.868408

6.143758

6.77707

6.763191

7.346924

6.667424

6.558049

7.92989

7.172818

6.825649

7.107755

6.802508

6.671937

6.833475

7.125129

6.807996

7.026272

7.514884

6.880589

2408.04904

Sven Stawinski

Claude Duhr, Franziska Porkert, Cathrin Semper, Sven F. Stawinski

Self-duality from twisted cohomology

null

BONN-TH-2024-11

hep-th

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

Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an {\epsilon}-factorised differential equation is persymmetric. It was observed that the rotation to this special basis may introduce a Galois symmetry relating different integrals. We argue that the proposed notion of self-duality for maximal cuts stems from a very natural notion of self-duality from twisted cohomology. Our main result is that, if the differential equations and their duals are simultaneously brought into canonical form, the cohomology intersection matrix is a constant. Furthermore, we show that one can associate quite generically a Lie algebra representation to an {\epsilon}-factorised system. For maximal cuts, this representation is irreducible and self-dual. The constant intersection matrix can be interpreted as expressing the equivalence of this representation and its dual, which in turn results in constraints for the differential equation matrix. Unlike the earlier proposal, the most natural symmetry of the differential equation matrix is defined entirely over the rational numbers and is independent of the basis choice. As a consequence, we do not see any evidence for a Galois symmetry of the type advocated earlier.

[ { "created": "Fri, 9 Aug 2024 07:19:23 GMT", "version": "v1" } ]

2024-08-12

[ [ "Duhr", "Claude", "" ], [ "Porkert", "Franziska", "" ], [ "Semper", "Cathrin", "" ], [ "Stawinski", "Sven F.", "" ] ]

Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an {\epsilon}-factorised differential equation is persymmetric. It was observed that the rotation to this special basis may introduce a Galois symmetry relating different integrals. We argue that the proposed notion of self-duality for maximal cuts stems from a very natural notion of self-duality from twisted cohomology. Our main result is that, if the differential equations and their duals are simultaneously brought into canonical form, the cohomology intersection matrix is a constant. Furthermore, we show that one can associate quite generically a Lie algebra representation to an {\epsilon}-factorised system. For maximal cuts, this representation is irreducible and self-dual. The constant intersection matrix can be interpreted as expressing the equivalence of this representation and its dual, which in turn results in constraints for the differential equation matrix. Unlike the earlier proposal, the most natural symmetry of the differential equation matrix is defined entirely over the rational numbers and is independent of the basis choice. As a consequence, we do not see any evidence for a Galois symmetry of the type advocated earlier.

13.282302

12.388111

13.357251

12.525832

13.870891

13.319576

13.490294

13.363526

12.943172

13.93641

13.10011

12.96629

12.387477

12.515592

13.089089

13.176017

12.814125

12.875511

12.355729

13.502045

12.479865

hep-th/9410011

Michael Bershadsky

Michael Bershadsky and Vladimir Sadov

Theory of K\"ahler Gravity

null

Int.J.Mod.Phys. A11 (1996) 4689-4730

10.1142/S0217751X96002157

null

hep-th

null

In this paper we discuss the connection on a space of $N=2$ TCFT's that appears in the context of background (in)dependence. We formulate a family of {\it target space field theories} with a similar connection on it. Each theory is a gauge theory (with the gauge group being ${\cal SD}iff $ in the case of $3$-fold). It describes deformations of K\"ahler structures much like Kodaira Spencer theory describes deformations of the complex structures. It is manifestly background independent. It appears to be a target space field theory for supersymmetric quantum mechanics.

[ { "created": "Mon, 3 Oct 1994 19:16:35 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bershadsky", "Michael", "" ], [ "Sadov", "Vladimir", "" ] ]

In this paper we discuss the connection on a space of $N=2$ TCFT's that appears in the context of background (in)dependence. We formulate a family of {\it target space field theories} with a similar connection on it. Each theory is a gauge theory (with the gauge group being ${\cal SD}iff $ in the case of $3$-fold). It describes deformations of K\"ahler structures much like Kodaira Spencer theory describes deformations of the complex structures. It is manifestly background independent. It appears to be a target space field theory for supersymmetric quantum mechanics.

16.672327

15.42998

16.349504

15.116105

16.657293

15.485889

15.217237

14.214849

14.597573

17.002773

15.338811

14.560579

15.956979

14.89579

15.564081

14.935905

15.75423

14.683206

14.711596

16.048491

14.559263

1401.6972

Di-Lun Yang

Shi Pu, Shang-Yu Wu, Di-Lun Yang

Holographic Chiral Electric Separation Effect

22 pages, 16 figures, appendix modified

Phys. Rev. D 89, 085024 (2014)

10.1103/PhysRevD.89.085024

null

hep-th hep-ph nucl-th

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

We investigate the chiral electric separation effect, where an axial current is induced by an electric field in the presence of both vector and axial chemical potentials, in a strongly coupled plasma via the Sakai-Sugimoto model with an $U(1)_R\times U(1)_L$ symmetry. By introducing different chemical potentials in $U(1)_R$ and $U(1)_L$ sectors, we compute the axial direct current (DC) conductivity stemming from the chiral current and the normal DC conductivity. We find that the axial conductivity is approximately proportional to the product of the axial and vector chemical potentials for arbitrary magnitudes of the chemical potentials. We also evaluate the axial alternating current (AC) conductivity induced by a frequency-dependent electric field, where the oscillatory behavior with respect to the frequency is observed.

[ { "created": "Mon, 27 Jan 2014 19:28:00 GMT", "version": "v1" }, { "created": "Mon, 3 Feb 2014 17:12:41 GMT", "version": "v2" } ]

2014-04-23

[ [ "Pu", "Shi", "" ], [ "Wu", "Shang-Yu", "" ], [ "Yang", "Di-Lun", "" ] ]

We investigate the chiral electric separation effect, where an axial current is induced by an electric field in the presence of both vector and axial chemical potentials, in a strongly coupled plasma via the Sakai-Sugimoto model with an $U(1)_R\times U(1)_L$ symmetry. By introducing different chemical potentials in $U(1)_R$ and $U(1)_L$ sectors, we compute the axial direct current (DC) conductivity stemming from the chiral current and the normal DC conductivity. We find that the axial conductivity is approximately proportional to the product of the axial and vector chemical potentials for arbitrary magnitudes of the chemical potentials. We also evaluate the axial alternating current (AC) conductivity induced by a frequency-dependent electric field, where the oscillatory behavior with respect to the frequency is observed.

5.780643

5.203598

5.626199

4.81659

5.151071

4.830015

5.425164

5.097793

5.006819

5.874389

5.084829

5.212511

5.560468

5.23373

5.195953

5.43065

5.225675

5.427186

5.421157

5.652352

5.38356

hep-th/0407176

Seif Randjbar-Daemi

S. Randjbar-Daemi and V. Rubakov

4d-Flat Compactifications With Brane Vorticities

8 pages. New references added and minor typos are corrected

JHEP0410:054,2004

10.1088/1126-6708/2004/10/054

null

hep-th astro-ph hep-ph

null

We present solutions in six-dimensional gravity coupled to a sigma model, in the presence of three-brane sources. The space transverse to the branes is a compact non-singular manifold. The example of O(3) sigma model in the presence of two three-branes is worked out in detail. We show that the four-dimensional flatness is obtained with a single condition involving the brane tensions, which are in general different and may be both positive, and another characteristic of the branes, vorticity. We speculate that the adjustment of the effective four-dimensional cosmological constant may occur through the exchange of vorticity between the branes. We then give exact instanton type solutions for sigma models targeted on a general K\"ahler manifold, and elaborate in this framework on multi-instantons of the O(3) sigma model. The latter have branes, possibly with vorticities, at the instanton positions, thus generalizing our two-brane solution.

[ { "created": "Tue, 20 Jul 2004 20:31:41 GMT", "version": "v1" }, { "created": "Tue, 28 Sep 2004 14:13:45 GMT", "version": "v2" } ]

2008-11-26

[ [ "Randjbar-Daemi", "S.", "" ], [ "Rubakov", "V.", "" ] ]

We present solutions in six-dimensional gravity coupled to a sigma model, in the presence of three-brane sources. The space transverse to the branes is a compact non-singular manifold. The example of O(3) sigma model in the presence of two three-branes is worked out in detail. We show that the four-dimensional flatness is obtained with a single condition involving the brane tensions, which are in general different and may be both positive, and another characteristic of the branes, vorticity. We speculate that the adjustment of the effective four-dimensional cosmological constant may occur through the exchange of vorticity between the branes. We then give exact instanton type solutions for sigma models targeted on a general K\"ahler manifold, and elaborate in this framework on multi-instantons of the O(3) sigma model. The latter have branes, possibly with vorticities, at the instanton positions, thus generalizing our two-brane solution.

10.526001

9.912979

10.707335

9.245001

9.361856

9.584446

9.809986

9.419815

9.488499

11.044807

9.320704

9.75331

10.167397

9.748098

9.59787

9.690911

9.572911

9.69936

9.572423

9.921386

9.508191

1810.01401

Igor Bandos

Supersymmetric action for multiple D0-brane system

1+23 pages, no figures. V2. References added, misprint corrected. V3. Misprints corrected in eqs. (2.20) and (B.9)

null

10.1007/JHEP11(2018)189

null

hep-th

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

We have constructed a complete action for the system of N D0-branes in flat 10D type IIA superspace. It is invariant under the rigid spacetime supersymmetry and local worldline supersymmetry ($\kappa$-symmetry). This latter can be considered as supersymmetry of maximal 1d SU(N) SYM model which is made local by coupling to supergravity induced by embedding of the center of energy worldline into the target superspace. The spinor moving frame technique is essentially used to achieve such a coupling. We discuss the differences with Panda-Sorokin multiple 0-brane action and with the dimensionally reduced 11D multiple M-wave action.

[ { "created": "Tue, 2 Oct 2018 17:51:31 GMT", "version": "v1" }, { "created": "Tue, 20 Nov 2018 16:05:15 GMT", "version": "v2" }, { "created": "Sat, 19 Mar 2022 11:49:32 GMT", "version": "v3" } ]

2022-03-22

[ [ "Bandos", "Igor", "" ] ]

We have constructed a complete action for the system of N D0-branes in flat 10D type IIA superspace. It is invariant under the rigid spacetime supersymmetry and local worldline supersymmetry ($\kappa$-symmetry). This latter can be considered as supersymmetry of maximal 1d SU(N) SYM model which is made local by coupling to supergravity induced by embedding of the center of energy worldline into the target superspace. The spinor moving frame technique is essentially used to achieve such a coupling. We discuss the differences with Panda-Sorokin multiple 0-brane action and with the dimensionally reduced 11D multiple M-wave action.

13.892373

11.486393

16.229698

11.881222

12.779521

10.717763

10.518194

10.794953

11.570472

17.43848

11.77093

11.936992

14.230526

12.583274

13.371918

12.384662

12.77539

12.254512

12.431029

13.88355

12.486279

1109.2794

Markku Oksanen

Masud Chaichian, Markku Oksanen, Anca Tureanu

On entropic gravity: the entropy postulate, entropy content of screens and relation to quantum mechanics

15 pages; v2: presentation and arguments improved, particularly in section 5; accepted to Phys. Lett. B

Phys.Lett.B712:272-278,2012

10.1016/j.physletb.2012.04.065

null

hep-th gr-qc

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

We consider the controversial hypothesis that gravity is an entropic force that has its origin in the thermodynamics of holographic screens. Several key aspects of entropic gravity are discussed. In particular, we revisit and elaborate on our criticism of the recent claim that entropic gravity fails to explain observations involving gravitationally-bound quantum states of neutrons in the GRANIT experiment and gravitationally induced quantum interference. We argue that the analysis leading to this claim is troubled by a misinterpretation concerning the relation between the microstates of a holographic screen and the state of a particle in the emergent space, engendering inconsistencies. A point of view that could resolve the inconsistencies is presented. We expound the general idea of the aforementioned critical analysis of entropic gravity in such a consistent setting. This enables us to clarify the problem and to identify a premise whose validity will decide the faith of the criticism against entropic gravity. It is argued that in order to reach a sensible conclusion we need more detailed knowledge on entropic gravity. These arguments are relevant to any theory of emergent space, where the entropy of the microscopic system depends on the distribution of matter in the emergent space.

[ { "created": "Tue, 13 Sep 2011 14:14:50 GMT", "version": "v1" }, { "created": "Sun, 6 May 2012 08:31:20 GMT", "version": "v2" } ]

2012-05-23

[ [ "Chaichian", "Masud", "" ], [ "Oksanen", "Markku", "" ], [ "Tureanu", "Anca", "" ] ]

We consider the controversial hypothesis that gravity is an entropic force that has its origin in the thermodynamics of holographic screens. Several key aspects of entropic gravity are discussed. In particular, we revisit and elaborate on our criticism of the recent claim that entropic gravity fails to explain observations involving gravitationally-bound quantum states of neutrons in the GRANIT experiment and gravitationally induced quantum interference. We argue that the analysis leading to this claim is troubled by a misinterpretation concerning the relation between the microstates of a holographic screen and the state of a particle in the emergent space, engendering inconsistencies. A point of view that could resolve the inconsistencies is presented. We expound the general idea of the aforementioned critical analysis of entropic gravity in such a consistent setting. This enables us to clarify the problem and to identify a premise whose validity will decide the faith of the criticism against entropic gravity. It is argued that in order to reach a sensible conclusion we need more detailed knowledge on entropic gravity. These arguments are relevant to any theory of emergent space, where the entropy of the microscopic system depends on the distribution of matter in the emergent space.

10.926805

11.149079

10.966006

10.391933

11.610079

11.591368

11.594914

11.081476

11.204279

11.562725

10.692766

10.820996

10.838406

10.847033

10.864459

11.115504

10.862999

10.728268

10.91367

10.875186

10.586073

hep-th/9309027

Barton Zwiebach

Ashoke Sen and Barton Zwiebach

A Note on Gauge Transformations in Batalin-Vilkovisky Theory

10 pages, phyzzx.tex, MIT-CTP-2240

Phys.Lett.B320:29-35,1994

10.1016/0370-2693(94)90819-2

null

hep-th

null

We give a generally covariant description, in the sense of symplectic geometry, of gauge transformations in Batalin-Vilkovisky quantization. Gauge transformations exist not only at the classical level, but also at the quantum level, where they leave the action-weighted measure $d\mu_S = d\mu e^{2S/\hbar}$ invariant. The quantum gauge transformations and their Lie algebra are $\hbar$-deformations of the classical gauge transformation and their Lie algebra. The corresponding Lie brackets $[ , ]^q$, and $[ , ]^c$, are constructed in terms of the symplectic structure and the measure $d\mu_S$. We discuss closed string field theory as an application.

[ { "created": "Fri, 3 Sep 1993 20:44:46 GMT", "version": "v1" } ]

2009-09-15

[ [ "Sen", "Ashoke", "" ], [ "Zwiebach", "Barton", "" ] ]

We give a generally covariant description, in the sense of symplectic geometry, of gauge transformations in Batalin-Vilkovisky quantization. Gauge transformations exist not only at the classical level, but also at the quantum level, where they leave the action-weighted measure $d\mu_S = d\mu e^{2S/\hbar}$ invariant. The quantum gauge transformations and their Lie algebra are $\hbar$-deformations of the classical gauge transformation and their Lie algebra. The corresponding Lie brackets $[ , ]^q$, and $[ , ]^c$, are constructed in terms of the symplectic structure and the measure $d\mu_S$. We discuss closed string field theory as an application.

6.878748

6.394405

7.480069

6.825973

6.987664

6.765635

7.058506

7.159736

6.264081

8.999426

6.453381

6.441695

6.890906

6.548384

6.367476

6.430063

6.441268

6.418935

6.496787

6.703552

6.281394

2209.12521

Si-Wen Li

Si-wen Li, Hao-qian Li, Sen-kai Luo

Corrections to the instanton configuration as baryon in holographic QCD

34 pages, 2 figures

null

10.1103/PhysRevD.106.126027

null

hep-th hep-ph

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

In this work, we first derive the corrections to the instanton configuration of the flavored gauge field in the D4-D8 model with generic flavor numbers. Then, as the instanton configuration on the D8-branes represents equivalently baryon in this model, keeping our corrections in hand, we systemically study the spectrum of baryon, heavy-light baryon or heavy-light meson and find it is possible to fit the experimental data with the meson data in this model. Besides, we briefly outline how to include the interaction of glueball and heavy-light meson or baryon with our corrections, evaluate numerically the decay rate of the heavy-light meson or baryonic matter involving glueball. Since it is possible to fit all the spectra with same choice of the parameters to the experimental data, we believe our corrections improve the framework of D4-D8 model and the corrected instanton configuration is also useful to investigate other properties of baryon in holography.

[ { "created": "Mon, 26 Sep 2022 08:57:39 GMT", "version": "v1" } ]

2023-01-03

[ [ "Li", "Si-wen", "" ], [ "Li", "Hao-qian", "" ], [ "Luo", "Sen-kai", "" ] ]

In this work, we first derive the corrections to the instanton configuration of the flavored gauge field in the D4-D8 model with generic flavor numbers. Then, as the instanton configuration on the D8-branes represents equivalently baryon in this model, keeping our corrections in hand, we systemically study the spectrum of baryon, heavy-light baryon or heavy-light meson and find it is possible to fit the experimental data with the meson data in this model. Besides, we briefly outline how to include the interaction of glueball and heavy-light meson or baryon with our corrections, evaluate numerically the decay rate of the heavy-light meson or baryonic matter involving glueball. Since it is possible to fit all the spectra with same choice of the parameters to the experimental data, we believe our corrections improve the framework of D4-D8 model and the corrected instanton configuration is also useful to investigate other properties of baryon in holography.

11.592277

12.452744

12.071063

11.253982

11.822019

12.76351

12.317758

12.057013

11.670393

12.819941

11.321714

11.194008

11.428454

11.048361

11.631872

11.538604

11.088942

11.499738

11.341637

11.705585

11.320533

1011.5679

Chong-Sun Chu

Chong-Sun Chu and Gurdeep S. Sehmbi

Open M2-branes with Flux and Modified Basu-Harvey Equation

23 pages, LaTeX

J.Phys.A44:135404,2011

10.1088/1751-8113/44/13/135404

DCPT-10/59

hep-th math-ph math.MP

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

The supersymmetric actions of closed multiple M2 branes with flux for the BL and the ABJM theories have been constructed recently by Lambert and Richmond in \cite{LR}. In this paper we extend the construction to the case of open M2-branes with flux and derive the boundary conditions. This allows us to derive the modified Basu-Harvey equation in the presence of flux. As an example, we consider the Lorentzian BL model. A new feature of the fuzzy funnel solution describing a D2-D4 intersection is obtained as a result of the flux.

[ { "created": "Thu, 25 Nov 2010 19:55:57 GMT", "version": "v1" } ]

2011-03-18

[ [ "Chu", "Chong-Sun", "" ], [ "Sehmbi", "Gurdeep S.", "" ] ]

The supersymmetric actions of closed multiple M2 branes with flux for the BL and the ABJM theories have been constructed recently by Lambert and Richmond in \cite{LR}. In this paper we extend the construction to the case of open M2-branes with flux and derive the boundary conditions. This allows us to derive the modified Basu-Harvey equation in the presence of flux. As an example, we consider the Lorentzian BL model. A new feature of the fuzzy funnel solution describing a D2-D4 intersection is obtained as a result of the flux.

10.392397

11.675803

12.348408

10.421338

11.107763

11.308951

10.81918

10.976773

10.470163

14.657492

10.173274

10.437613

11.415658

10.457602

10.362549

10.702654

10.115545

10.205186

10.321765

11.843019

10.241878

hep-th/9609236

Jordi Comellas

Exact Renormalization Group with Fermions

8 pages, LaTeX with sprocl.sty, talk given at RG96, Dubna

null

hep-th cond-mat hep-ph

null

The development of the Exact Renormalization Group for fermionic theories is presented, together with its application to the chiral Gross-Neveu model. We focus on the reliability of various approximations, specifically the derivative expansion and further truncations in the number of fields. The main differences with bosonic theories are discussed.

[ { "created": "Tue, 1 Oct 1996 04:08:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Comellas", "Jordi", "" ] ]

The development of the Exact Renormalization Group for fermionic theories is presented, together with its application to the chiral Gross-Neveu model. We focus on the reliability of various approximations, specifically the derivative expansion and further truncations in the number of fields. The main differences with bosonic theories are discussed.

8.762253

7.346337

7.292156

7.092399

8.05135

6.928339

7.247498

6.905457

6.754066

8.041716

7.342458

7.813793

7.53756

7.603291

7.677619

7.651325

7.672908

7.41647

7.514995

7.873262

7.733981

hep-th/9308096

Josh Boorstein

Metin Arik, Gokhan Unel and Muhittin Mungan

q-Oscillators, q-Epsilon Tensor, q-Groups

11 pages

Phys.Lett. B321 (1994) 385

10.1016/0370-2693(94)90263-1

BUFB 93-05; EFI 93-45

hep-th math.QA

null

Considering a multi-dimensional $q$-oscillator invariant under the (non quantum) group $U(n)$, we construct a $q$-deformed Levi-Civita epsilon tensor from the inner product states. The invariance of this $q$-epsilon tensor is shown to yield the quantum group $SL_{q}(n)$ and establishes the relationship of the $U(n)$ invariant $q$-oscillator to quantum groups and quantum group related oscillators. Furthermore the $q$-epsilon tensor provides the connection between $SL_{q}(n)$ and the volume element of the quantum hyper plane.

[ { "created": "Thu, 19 Aug 1993 18:49:44 GMT", "version": "v1" } ]

2009-10-22

[ [ "Arik", "Metin", "" ], [ "Unel", "Gokhan", "" ], [ "Mungan", "Muhittin", "" ] ]

Considering a multi-dimensional $q$-oscillator invariant under the (non quantum) group $U(n)$, we construct a $q$-deformed Levi-Civita epsilon tensor from the inner product states. The invariance of this $q$-epsilon tensor is shown to yield the quantum group $SL_{q}(n)$ and establishes the relationship of the $U(n)$ invariant $q$-oscillator to quantum groups and quantum group related oscillators. Furthermore the $q$-epsilon tensor provides the connection between $SL_{q}(n)$ and the volume element of the quantum hyper plane.

9.755254

10.599893

10.304386

9.093882

9.719588

11.03575

9.114858

9.712418

9.597485

11.886531

9.414964

8.899243

9.688056

9.380335

9.131398

9.326985

9.349184

9.695545

9.539966

9.635372

9.163621

1612.07210

Henning Samtleben

Arnaud Baguet, Marc Magro, Henning Samtleben

Generalized IIB supergravity from exceptional field theory

18 pages, version to appear in JHEP

null

10.1007/JHEP03(2017)100

null

hep-th

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

The background underlying the $\eta$-deformed $AdS_5\times S^5$ sigma-model is known to satisfy a generalization of the IIB supergravity equations. Their solutions are related by T-duality to solutions of type IIA supergravity with non-isometric linear dilaton. We show how the generalized IIB supergravity equations can be naturally obtained from exceptional field theory. Within this manifestly duality covariant formulation of maximal supergravity, the generalized IIB supergravity equations emerge upon imposing on the fields a simple Scherk-Schwarz ansatz which respects the section constraint.

[ { "created": "Wed, 21 Dec 2016 16:03:18 GMT", "version": "v1" }, { "created": "Fri, 17 Mar 2017 12:17:19 GMT", "version": "v2" } ]

2017-04-05

[ [ "Baguet", "Arnaud", "" ], [ "Magro", "Marc", "" ], [ "Samtleben", "Henning", "" ] ]

The background underlying the $\eta$-deformed $AdS_5\times S^5$ sigma-model is known to satisfy a generalization of the IIB supergravity equations. Their solutions are related by T-duality to solutions of type IIA supergravity with non-isometric linear dilaton. We show how the generalized IIB supergravity equations can be naturally obtained from exceptional field theory. Within this manifestly duality covariant formulation of maximal supergravity, the generalized IIB supergravity equations emerge upon imposing on the fields a simple Scherk-Schwarz ansatz which respects the section constraint.

6.768495

6.057553

10.161886

6.318976

6.021566

6.082878

6.72914

6.479695

6.212641

9.490466

6.362096

6.25796

7.77428

6.540925

6.308823

6.156316

6.245356

6.092142

6.393524

7.874623

6.365873

hep-th/9310135

null

C. M. Hull

Gauged Heterotic Sigma-Models

10 pages, phyzzx, QMW-93-25 (Blank lines created by mailer removed, so this version should be TeXable)

Mod.Phys.Lett.A9:161-168,1994

10.1142/S0217732394000174

null

hep-th

null

The gauging of isometries in general sigma-models which include fermionic terms which represent the interaction of strings with background Yang-Mills fields is considered. Gauging is possible only if certain obstructions are absent. The quantum gauge anomaly is discussed, and the (1,0) supersymmetric generalisation of the gauged action given.

[ { "created": "Wed, 20 Oct 1993 21:55:00 GMT", "version": "v1" }, { "created": "Fri, 22 Oct 1993 13:00:00 GMT", "version": "v2" } ]

2011-07-19

[ [ "Hull", "C. M.", "" ] ]

The gauging of isometries in general sigma-models which include fermionic terms which represent the interaction of strings with background Yang-Mills fields is considered. Gauging is possible only if certain obstructions are absent. The quantum gauge anomaly is discussed, and the (1,0) supersymmetric generalisation of the gauged action given.

14.521186

12.879755

14.109024

13.05303

13.87572

11.846829

12.207955

12.129506

13.02199

14.363839

11.356189

12.354996

14.047365

12.933761

12.774933

12.497959

12.196827

13.344235

12.524883

13.963614

11.582958

2108.08492

Yusuke Yamada

Renata Kallosh, Andrei Linde, Timm Wrase, Yusuke Yamada

IIB String Theory and Sequestered Inflation

24pages, 7 figures, v2: reference added, accepted for publication in Fortschritte der Physik, v3: addendum after BICEP/Keck18 release added in Sec. 7

Fortsch.Phys. 2021 2100127

10.1002/prop.202100127

RESCEU 15/21

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

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

We develop sequestered inflation models, where inflation occurs along flat directions in supergravity models derived from type IIB string theory. It is compactified on a ${\mathbb{T}^6 \over \mathbb{Z}_2 \times \mathbb{Z}_2}$ orientifold with generalized fluxes and O3/O7-planes. At Step I, we use flux potentials which 1) satisfy tadpole cancellation conditions and 2) have supersymmetric Minkowski vacua with flat direction(s). The 7 moduli are split into heavy and massless Goldstone multiplets. At Step II we add a nilpotent multiplet and uplift the flat direction(s) of the type IIB string theory to phenomenological inflationary plateau potentials: $\alpha$-attractors with 7 discrete values $3\alpha = 1, 2, 3, ..., 7$. Their cosmological predictions are determined by the hyperbolic geometry inherited from string theory. The masses of the heavy fields and the volume of the extra dimensions change during inflation, but this does not affect the inflationary dynamics.

[ { "created": "Thu, 19 Aug 2021 04:24:37 GMT", "version": "v1" }, { "created": "Mon, 30 Aug 2021 08:15:14 GMT", "version": "v2" }, { "created": "Fri, 15 Oct 2021 00:54:09 GMT", "version": "v3" } ]

2021-10-18

[ [ "Kallosh", "Renata", "" ], [ "Linde", "Andrei", "" ], [ "Wrase", "Timm", "" ], [ "Yamada", "Yusuke", "" ] ]

We develop sequestered inflation models, where inflation occurs along flat directions in supergravity models derived from type IIB string theory. It is compactified on a ${\mathbb{T}^6 \over \mathbb{Z}_2 \times \mathbb{Z}_2}$ orientifold with generalized fluxes and O3/O7-planes. At Step I, we use flux potentials which 1) satisfy tadpole cancellation conditions and 2) have supersymmetric Minkowski vacua with flat direction(s). The 7 moduli are split into heavy and massless Goldstone multiplets. At Step II we add a nilpotent multiplet and uplift the flat direction(s) of the type IIB string theory to phenomenological inflationary plateau potentials: $\alpha$-attractors with 7 discrete values $3\alpha = 1, 2, 3, ..., 7$. Their cosmological predictions are determined by the hyperbolic geometry inherited from string theory. The masses of the heavy fields and the volume of the extra dimensions change during inflation, but this does not affect the inflationary dynamics.

9.057086

8.076996

9.710441

8.065945

8.802063

7.89605

8.799295

8.478192

7.837752

10.396156

8.27274

8.430528

8.996564

8.382809

8.396186

8.375343

8.366071

8.298047

8.24317

8.719303

8.194908

hep-th/0005018

Christoph Adam

C. Adam, B. Muratori, C. Nash

Zero modes in finite range magnetic fields

5 pages, Latex, no figures

Mod.Phys.Lett. A15 (2000) 1577-1582

10.1142/S0217732300001948

null

hep-th

null

We find a class of Fermion zero modes of Abelian Dirac operators in three dimensional Euclidean space where the gauge potentials and the related magnetic fields are nonzero only in a finite space region.

[ { "created": "Tue, 2 May 2000 09:33:23 GMT", "version": "v1" } ]

2009-10-31

[ [ "Adam", "C.", "" ], [ "Muratori", "B.", "" ], [ "Nash", "C.", "" ] ]

We find a class of Fermion zero modes of Abelian Dirac operators in three dimensional Euclidean space where the gauge potentials and the related magnetic fields are nonzero only in a finite space region.

15.586563

11.668632

14.15453

11.285801

11.77917

11.189878

11.509356

11.995243

12.595409

17.937885

9.950192

11.675143

14.237743

12.115165

12.372199

12.661627

11.65096

12.820995

12.969648

14.746369

13.506852

1912.02747

Matteo Becchetti

Samuel Abreu, Matteo Becchetti, Claude Duhr and Robin Marzucca

Three-loop contributions to the $\rho$ parameter and iterated integrals of modular forms

37 pages, 2 figures

null

10.1007/JHEP02(2020)050

null

hep-th

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

We compute fully analytic results for the three-loop diagrams involving two different massive quark flavours contributing to the $\rho$ parameter in the Standard Model. We find that the results involve exactly the same class of functions that appears in the well-known sunrise and banana graphs, namely elliptic polylogarithms and iterated integrals of modular forms. Using recent developments in the understanding of these functions, we analytically continue all the iterated integrals of modular forms to all regions of the parameter space, and in each region we obtain manifestly real and fast-converging series expansions for these functions.

[ { "created": "Thu, 5 Dec 2019 17:33:41 GMT", "version": "v1" } ]

2020-03-18

[ [ "Abreu", "Samuel", "" ], [ "Becchetti", "Matteo", "" ], [ "Duhr", "Claude", "" ], [ "Marzucca", "Robin", "" ] ]

We compute fully analytic results for the three-loop diagrams involving two different massive quark flavours contributing to the $\rho$ parameter in the Standard Model. We find that the results involve exactly the same class of functions that appears in the well-known sunrise and banana graphs, namely elliptic polylogarithms and iterated integrals of modular forms. Using recent developments in the understanding of these functions, we analytically continue all the iterated integrals of modular forms to all regions of the parameter space, and in each region we obtain manifestly real and fast-converging series expansions for these functions.

7.951046

8.471702

7.466284

6.767488

7.286743

8.04565

8.797374

7.861383

7.056739

7.441527

7.254004

8.521041

7.378128

7.357506

7.431142

7.893908

7.751781

8.194579

7.566082

7.769438

7.652107

0903.2084

Hiroyuki Fuji

Robbert Dijkgraaf, Hiroyuki Fuji

The Volume Conjecture and Topological Strings

52 pages, 10 figures, references added, typos corrected, comments included

Fortsch.Phys.57:825-856,2009

10.1002/prop.200900067

ITFA-2008-24

hep-th

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

In this paper, we discuss a relation between Jones-Witten theory of knot invariants and topological open string theory on the basis of the volume conjecture. We find a similar Hamiltonian structure for both theories, and interpret the AJ conjecture as the D-module structure for a D-brane partition function. In order to verify our claim, we compute the free energy for the annulus contributions in the topological string using the Chern-Simons matrix model, and find that it coincides with the Reidemeister torsion in the case of the figure-eight knot complement and the SnapPea census manifold m009.

[ { "created": "Thu, 12 Mar 2009 01:08:56 GMT", "version": "v1" }, { "created": "Tue, 31 Mar 2009 09:44:49 GMT", "version": "v2" } ]

2009-09-24

[ [ "Dijkgraaf", "Robbert", "" ], [ "Fuji", "Hiroyuki", "" ] ]

In this paper, we discuss a relation between Jones-Witten theory of knot invariants and topological open string theory on the basis of the volume conjecture. We find a similar Hamiltonian structure for both theories, and interpret the AJ conjecture as the D-module structure for a D-brane partition function. In order to verify our claim, we compute the free energy for the annulus contributions in the topological string using the Chern-Simons matrix model, and find that it coincides with the Reidemeister torsion in the case of the figure-eight knot complement and the SnapPea census manifold m009.

9.389254

11.281599

11.488431

9.250666

10.063223

9.756908

10.506236

8.987406

9.450465

13.427144

8.742867

8.772665

9.264003

8.697855

8.830638

9.103947

8.66897

9.201503

8.868931

9.811702

8.838589

1203.4189

Tristan Hubsch

On Supermultiplet Twisting and Spin-Statistics

Extended version, including a new section on manifestly off-shell and supersymmetric BRST treatment of gauge symmetry; added references

Mod. Phys. Lett. A28 (2013) 1350147

10.1142/S0217732313501472

null

hep-th

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

Twisting of off-shell supermultiplets in models with 1+1-dimensional spacetime has been discovered in 1984, and was shown to be a generic feature of off-shell representations in worldline supersymmetry two decades later. It is shown herein that in all supersymmetric models with spacetime of four or more dimensions, this off-shell supermultiplet twisting, if non-trivial, necessarily maps regular (non-ghost) supermultiplets to ghost supermultiplets. This feature is shown to be ubiquitous in all fully off-shell supersymmetric models with (BV/BRST-treated) constraints.

[ { "created": "Mon, 19 Mar 2012 18:07:48 GMT", "version": "v1" }, { "created": "Mon, 20 Jan 2014 03:51:23 GMT", "version": "v2" } ]

2014-01-21

[ [ "Hubsch", "Tristan", "" ] ]

Twisting of off-shell supermultiplets in models with 1+1-dimensional spacetime has been discovered in 1984, and was shown to be a generic feature of off-shell representations in worldline supersymmetry two decades later. It is shown herein that in all supersymmetric models with spacetime of four or more dimensions, this off-shell supermultiplet twisting, if non-trivial, necessarily maps regular (non-ghost) supermultiplets to ghost supermultiplets. This feature is shown to be ubiquitous in all fully off-shell supersymmetric models with (BV/BRST-treated) constraints.

13.105536

14.227507

14.275071

13.685417

14.000552

14.923086

13.561621

12.558727

13.710208

13.770329

13.321707

13.362988

13.318835

12.867101

13.252275

12.602042

12.684418

13.115517

12.475757

13.632044

12.723576

2406.04789

Laura Batini

Laura Batini, Lara Kuhn, J\"urgen Berges and Stefan Floerchinger

Particle production and hadronization temperature of the massive Schwinger model

null

hep-th cond-mat.quant-gas gr-qc hep-ph

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

We study the pair production, string breaking, and hadronization of a receding electron-positron pair using the bosonized version of the massive Schwinger model in quantum electrodynamics in 1+1 space-time dimensions. Specifically, we study the dynamics of the electric field in Bjorken coordinates by splitting it into a coherent field and its Gaussian fluctuations. We find that the electric field shows damped oscillations, reflecting pair production. Interestingly, the computation of the asymptotic total particle density per rapidity interval for large masses can be fitted using a Boltzmann factor, where the temperature can be related to the hadronization temperature in QCD. Lastly, we discuss the possibility of an analog quantum simulation of the massive Schwinger model using ultracold atoms, explicitly matching the potential of the Schwinger model to the effective potential for the relative phase of two linearly coupled Bose-Einstein condensates.

[ { "created": "Fri, 7 Jun 2024 09:37:50 GMT", "version": "v1" } ]

2024-06-10

[ [ "Batini", "Laura", "" ], [ "Kuhn", "Lara", "" ], [ "Berges", "Jürgen", "" ], [ "Floerchinger", "Stefan", "" ] ]

We study the pair production, string breaking, and hadronization of a receding electron-positron pair using the bosonized version of the massive Schwinger model in quantum electrodynamics in 1+1 space-time dimensions. Specifically, we study the dynamics of the electric field in Bjorken coordinates by splitting it into a coherent field and its Gaussian fluctuations. We find that the electric field shows damped oscillations, reflecting pair production. Interestingly, the computation of the asymptotic total particle density per rapidity interval for large masses can be fitted using a Boltzmann factor, where the temperature can be related to the hadronization temperature in QCD. Lastly, we discuss the possibility of an analog quantum simulation of the massive Schwinger model using ultracold atoms, explicitly matching the potential of the Schwinger model to the effective potential for the relative phase of two linearly coupled Bose-Einstein condensates.

10.313192

11.470268

10.872972

9.73097

11.005959

10.375324

9.824089

10.865816

10.053283

11.189092

10.1363

10.032516

10.02632

9.647836

9.834307

9.98631

9.740777

10.180558

9.539544

9.744987

9.826694

2210.01415

Yasuaki Hikida

Heng-Yu Chen, Shi Chen and Yasuaki Hikida

Late-time correlation functions in dS$_3$/CFT$_2$ correspondence

52 pages, 6 figures, minor changes, references added, to appear in JHEP

null

10.1007/JHEP02(2023)038

YITP-22-99

hep-th gr-qc

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

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field theory, which is used to compute the late-time correlation functions. We argue that the relation to direct bulk Feynman diagram computations in the in-in formulation. We furthermore provide a precise prescription to construct a higher-spin dS$_3$ holography as an analytic continuation of Gaberdiel-Gopakumar duality for AdS$_3$. Part of results here were already reported in an earlier letter. We explain the details of their derivations and extend the analysis to more generic cases in this paper. Previously, we have examined two- and three-point functions and a simple four-point correlator at the leading order in Newton constant. Here we also evaluate more complicated four-point correlators. Finally, we study late-time correlators in an alternative limit of dS$_3$/CFT$_2$ with critical level coset, such as, two-point correlator on conical defect geometry. We also examine one-loop corrections to two-point correlator on dS$_3$.

[ { "created": "Tue, 4 Oct 2022 06:53:55 GMT", "version": "v1" }, { "created": "Thu, 2 Feb 2023 13:23:50 GMT", "version": "v2" } ]

2023-02-22

[ [ "Chen", "Heng-Yu", "" ], [ "Chen", "Shi", "" ], [ "Hikida", "Yasuaki", "" ] ]

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field theory, which is used to compute the late-time correlation functions. We argue that the relation to direct bulk Feynman diagram computations in the in-in formulation. We furthermore provide a precise prescription to construct a higher-spin dS$_3$ holography as an analytic continuation of Gaberdiel-Gopakumar duality for AdS$_3$. Part of results here were already reported in an earlier letter. We explain the details of their derivations and extend the analysis to more generic cases in this paper. Previously, we have examined two- and three-point functions and a simple four-point correlator at the leading order in Newton constant. Here we also evaluate more complicated four-point correlators. Finally, we study late-time correlators in an alternative limit of dS$_3$/CFT$_2$ with critical level coset, such as, two-point correlator on conical defect geometry. We also examine one-loop corrections to two-point correlator on dS$_3$.

11.92931

11.249797

13.104018

11.157918

10.816876

11.860216

11.902066

10.594325

10.693956

14.181607

10.917335

11.564839

11.988662

11.340141

11.250594

11.39196

11.163408

11.49545

11.498505

12.303906

11.140268

2003.04817

Robin Schneider

Magdalena Larfors and Robin Schneider

Explore and Exploit with Heterotic Line Bundle Models

13 pages, 4 figures, python package

null

10.1002/prop.202000034

UUITP-05/20

hep-th cs.LG

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

We use deep reinforcement learning to explore a class of heterotic $SU(5)$ GUT models constructed from line bundle sums over Complete Intersection Calabi Yau (CICY) manifolds. We perform several experiments where A3C agents are trained to search for such models. These agents significantly outperform random exploration, in the most favourable settings by a factor of 1700 when it comes to finding unique models. Furthermore, we find evidence that the trained agents also outperform random walkers on new manifolds. We conclude that the agents detect hidden structures in the compactification data, which is partly of general nature. The experiments scale well with $h^{(1,1)}$, and may thus provide the key to model building on CICYs with large $h^{(1,1)}$.

[ { "created": "Tue, 10 Mar 2020 15:49:33 GMT", "version": "v1" } ]

2020-06-24

[ [ "Larfors", "Magdalena", "" ], [ "Schneider", "Robin", "" ] ]

We use deep reinforcement learning to explore a class of heterotic $SU(5)$ GUT models constructed from line bundle sums over Complete Intersection Calabi Yau (CICY) manifolds. We perform several experiments where A3C agents are trained to search for such models. These agents significantly outperform random exploration, in the most favourable settings by a factor of 1700 when it comes to finding unique models. Furthermore, we find evidence that the trained agents also outperform random walkers on new manifolds. We conclude that the agents detect hidden structures in the compactification data, which is partly of general nature. The experiments scale well with $h^{(1,1)}$, and may thus provide the key to model building on CICYs with large $h^{(1,1)}$.

11.842378

10.531101

12.031142

10.212965

10.945807

11.906236

10.46781

10.246107

9.4373

12.056944

10.406055

10.828286

11.088728

10.474481

10.140087

10.296365

10.261757

10.248739

10.320529

11.516425

10.795805

hep-th/0211107

Andreas Karch

Andreas Karch, Emanuel Katz, Neal Weiner

Hadron Masses and Screening from AdS Wilson Loops

4 pages, revtex

Phys.Rev.Lett.90:091601,2003

10.1103/PhysRevLett.90.091601

UW-PT-02/25

hep-th nucl-th

null

We show that in strongly coupled N=4 SYM the binding energy of a heavy and a light quark is independent of the strength of the coupling constant. As a consequence we are able to show that in the presence of light quarks the analog of the QCD string can snap and color charges are screened. The resulting neutral mesons interact with each other only via pion exchange and we estimate the masses

[ { "created": "Tue, 12 Nov 2002 20:13:56 GMT", "version": "v1" } ]

2008-11-26

[ [ "Karch", "Andreas", "" ], [ "Katz", "Emanuel", "" ], [ "Weiner", "Neal", "" ] ]

We show that in strongly coupled N=4 SYM the binding energy of a heavy and a light quark is independent of the strength of the coupling constant. As a consequence we are able to show that in the presence of light quarks the analog of the QCD string can snap and color charges are screened. The resulting neutral mesons interact with each other only via pion exchange and we estimate the masses

11.7757

11.262531

9.59656

10.581378

11.541758

11.680252

11.94006

11.478112

10.711024

10.482677

10.637238

11.035865

11.002285

10.656062

10.966626

11.070306

11.353427

10.782955

10.502287

10.896629

10.670428

hep-th/0104035

Christopher T. Hill

Christopher T. Hill, Stefan Pokorski, Jing Wang

Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes

21 pages, 4 figures

Phys.Rev. D64 (2001) 105005

10.1103/PhysRevD.64.105005

FERMILAB-Pub-01/043-T

hep-th hep-lat hep-ph

null

We construct a manifestly gauge invariant Lagrangian in 3+1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, if the bulk is 4+1, the effective theory is \Pi_{i=1}^{N+1} SU(m)_i with N chiral (\bar{m},m) fields connecting the groups sequentially. This can be viewed as a Wilson action for a transverse lattice in x^5, and is shown explicitly to match the continuum 4+1 compactifed Lagrangian truncated in momentum space. Scale dependence of the gauge couplings is described by the standard renormalization group technique with threshold matching, leading to effective power law running. We also discuss the unitarity constraints, and chiral fermions.

[ { "created": "Wed, 4 Apr 2001 20:25:49 GMT", "version": "v1" }, { "created": "Thu, 5 Apr 2001 21:22:00 GMT", "version": "v2" } ]

2009-11-07

[ [ "Hill", "Christopher T.", "" ], [ "Pokorski", "Stefan", "" ], [ "Wang", "Jing", "" ] ]

We construct a manifestly gauge invariant Lagrangian in 3+1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, if the bulk is 4+1, the effective theory is \Pi_{i=1}^{N+1} SU(m)_i with N chiral (\bar{m},m) fields connecting the groups sequentially. This can be viewed as a Wilson action for a transverse lattice in x^5, and is shown explicitly to match the continuum 4+1 compactifed Lagrangian truncated in momentum space. Scale dependence of the gauge couplings is described by the standard renormalization group technique with threshold matching, leading to effective power law running. We also discuss the unitarity constraints, and chiral fermions.

11.46219

11.39657

11.726918

10.988378

11.799659

12.136935

12.288785

11.799141

11.245721

12.984196

11.052676

11.393555

11.046946

10.655706

11.253206

11.278686

11.05857

10.974159

11.057729

11.173433

10.917422

hep-th/0502122

Lisa Freyhult

Lisa Freyhult and Charlotte Kristjansen

Rational three-spin string duals and non-anomalous finite size effects

15 pages, v2: comparison to string theory changed, references added, v3: textual modifications and title changed

JHEP 0505:043,2005

10.1088/1126-6708/2005/05/043

NORDITA-2005-12

hep-th

null

We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and J<J'.

[ { "created": "Mon, 14 Feb 2005 15:34:50 GMT", "version": "v1" }, { "created": "Mon, 21 Feb 2005 13:15:33 GMT", "version": "v2" }, { "created": "Fri, 20 May 2005 08:33:51 GMT", "version": "v3" } ]

2010-02-03

[ [ "Freyhult", "Lisa", "" ], [ "Kristjansen", "Charlotte", "" ] ]

We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size corrections are conjectured to encode information about string sigma model loop corrections to the spectrum of type IIB superstrings on AdS_5xS^5. We compare our result to the zero-mode contribution to the leading quantum string correction derived for the stable three-spin string with two out of the three spin labels identical and observe agreement. As a side result we clarify the relation between the Bethe root description of three-spin strings of the type (J,J',J') with respectively J>J' and J<J'.

12.519387

13.513491

14.765912

12.687163

12.386838

13.238373

12.124568

11.901575

12.253405

16.258806

11.614542

11.703587

12.178202

11.204482

11.948664

11.831891

11.886095

11.323702

11.970528

12.349704

11.301202

1507.04361

Arjun Bagchi

Arjun Bagchi, Shankhadeep Chakrabortty, Pulastya Parekh

Tensionless Strings from Worldsheet Symmetries

40 pages; v2: references added, minor text edits

null

10.1007/JHEP01(2016)158

MIT-CTP-4690

hep-th

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

We revisit the construction of the tensionless limit of closed bosonic string theory in the covariant formulation in the light of Galilean conformal symmetry that rises as the residual gauge symmetry on the tensionless worldsheet. We relate the analysis of the fundamentally tensionless theory to the tensionless limit that is viewed as a contraction of worldsheet coordinates. Analysis of the quantum regime uncovers interesting physics. The degrees of freedom that appear in the tensionless string are fundamentally different from the usual string states. Through a Bogoliubov transformation on the worldsheet, we link the tensionless vacuum to the usual tensile vacuum. As an application, we show that our analysis can be used to understand physics of strings at very high temperatures and propose that these new degrees of freedom are naturally connected with the long-string picture of the Hagedorn phase of free string theory. We also show that tensionless closed strings behave like open strings.

[ { "created": "Wed, 15 Jul 2015 20:01:30 GMT", "version": "v1" }, { "created": "Sun, 19 Jul 2015 18:32:56 GMT", "version": "v2" } ]

2016-03-23

[ [ "Bagchi", "Arjun", "" ], [ "Chakrabortty", "Shankhadeep", "" ], [ "Parekh", "Pulastya", "" ] ]

We revisit the construction of the tensionless limit of closed bosonic string theory in the covariant formulation in the light of Galilean conformal symmetry that rises as the residual gauge symmetry on the tensionless worldsheet. We relate the analysis of the fundamentally tensionless theory to the tensionless limit that is viewed as a contraction of worldsheet coordinates. Analysis of the quantum regime uncovers interesting physics. The degrees of freedom that appear in the tensionless string are fundamentally different from the usual string states. Through a Bogoliubov transformation on the worldsheet, we link the tensionless vacuum to the usual tensile vacuum. As an application, we show that our analysis can be used to understand physics of strings at very high temperatures and propose that these new degrees of freedom are naturally connected with the long-string picture of the Hagedorn phase of free string theory. We also show that tensionless closed strings behave like open strings.

10.783082

9.584926

11.94207

9.950285

10.918341

10.735989

10.489539

9.649554

10.310763

12.091754

10.203987

10.390199

10.91715

10.404302

10.30429

10.560923

10.618919

9.987942

10.0713

10.936125

10.579778

hep-th/0304210

Antoine Van Proeyen

Joaquim Gomis, Toni Mateos, Pedro J. Silva and Antoine Van Proeyen

Supertubes in reduced holonomy manifolds

20 pages

Class.Quant.Grav. 20 (2003) 3113-3128

10.1088/0264-9381/20/14/314

ECM-UB-03/12; IFUM-756-FT; KUL-TF-2003/07

hep-th

null

We show that the supertube configurations exist in all supersymmetric type IIA backgrounds which are purely geometrical and which have, at least, one flat direction. In other words, they exist in any spacetime of the form R^{1,1} x M_8, with M_8 any of the usual reduced holonomy manifolds. These generalised supertubes preserve 1/4 of the supersymmetries preserved by the choice of the manifold M_8. We also support this picture with the construction of their corresponding family of IIA supergravity backgrounds preserving from 1/4 to 1/32 of the total supercharges.

[ { "created": "Thu, 24 Apr 2003 18:30:28 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gomis", "Joaquim", "" ], [ "Mateos", "Toni", "" ], [ "Silva", "Pedro J.", "" ], [ "Van Proeyen", "Antoine", "" ] ]

We show that the supertube configurations exist in all supersymmetric type IIA backgrounds which are purely geometrical and which have, at least, one flat direction. In other words, they exist in any spacetime of the form R^{1,1} x M_8, with M_8 any of the usual reduced holonomy manifolds. These generalised supertubes preserve 1/4 of the supersymmetries preserved by the choice of the manifold M_8. We also support this picture with the construction of their corresponding family of IIA supergravity backgrounds preserving from 1/4 to 1/32 of the total supercharges.

8.693053

7.785699

10.555523

7.717675

8.037451

8.706108

7.51785

7.626266

7.730526

9.611842

7.830384

7.833917

8.243937

7.699627

7.984395

7.938097

7.912998

7.865165

7.556953

8.130307

7.623

2112.11886

Cheng-Yong Zhang

Peng-Cheng Li, Cheng-Yong Zhang

On AdS Black Strings at Large $D$

7 pages

null

hep-th gr-qc

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

In this paper we study the stability of an homogeneous black string in the presence of a negative cosmological constant with minimally coupled scalar fields by using the large $D$ effective theory. This method allows us to explore the dynamics of the black strings in the nonlinear regime. We find that up to the next-to-leading order of the $1/D$ expansion, the unique consistent solution of the equations of motion must be uniform. This means the recently found Gregory-Laflamme instability caused by fined-tuned non-generic perturbations would die out at late time in the evolution of the system.

[ { "created": "Wed, 22 Dec 2021 14:07:58 GMT", "version": "v1" } ]

2021-12-23

[ [ "Li", "Peng-Cheng", "" ], [ "Zhang", "Cheng-Yong", "" ] ]

In this paper we study the stability of an homogeneous black string in the presence of a negative cosmological constant with minimally coupled scalar fields by using the large $D$ effective theory. This method allows us to explore the dynamics of the black strings in the nonlinear regime. We find that up to the next-to-leading order of the $1/D$ expansion, the unique consistent solution of the equations of motion must be uniform. This means the recently found Gregory-Laflamme instability caused by fined-tuned non-generic perturbations would die out at late time in the evolution of the system.

11.504972

10.144539

10.946488

9.517731

10.304433

11.014195

10.506693

10.470088

9.893073

11.385799

9.685117

10.22528

10.426977

10.114411

10.540211

10.252139

10.193475

10.697483

10.274293

10.404726

10.187697

1602.05788

Francisco Nettel

Michele Arzano and Francisco Nettel

Deformed phase spaces with group valued momenta

38 pages, added references

Phys. Rev. D 94, 085004 (2016)

10.1103/PhysRevD.94.085004

null

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

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

We introduce a general framework for describing deformed phase spaces with group valued momenta. Using techniques from the theory of Poisson-Lie groups and Lie bi-algebras we develop tools for constructing Poisson structures on the deformed phase space starting from the minimal input of the algebraic structure of the generators of the momentum Lie group. The tools developed are used to derive Poisson structures on examples of group momentum space much studied in the literature such as the $n$-dimensional generalization of the $\kappa$-deformed momentum space and the $SL(2, \mathbb{R})$ momentum space in three space-time dimensions. We discuss classical momentum observables associated to multi-particle systems and argue that these combine according the usual four-vector addition despite the non-abelian group structure of momentum space.

[ { "created": "Thu, 18 Feb 2016 13:22:24 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 2016 00:33:50 GMT", "version": "v2" } ]

2016-10-12

[ [ "Arzano", "Michele", "" ], [ "Nettel", "Francisco", "" ] ]

We introduce a general framework for describing deformed phase spaces with group valued momenta. Using techniques from the theory of Poisson-Lie groups and Lie bi-algebras we develop tools for constructing Poisson structures on the deformed phase space starting from the minimal input of the algebraic structure of the generators of the momentum Lie group. The tools developed are used to derive Poisson structures on examples of group momentum space much studied in the literature such as the $n$-dimensional generalization of the $\kappa$-deformed momentum space and the $SL(2, \mathbb{R})$ momentum space in three space-time dimensions. We discuss classical momentum observables associated to multi-particle systems and argue that these combine according the usual four-vector addition despite the non-abelian group structure of momentum space.

8.951773

9.213128

9.408101

8.778285

9.52454

9.940608

9.758292

9.069382

9.112109

9.444354

9.340433

8.694057

8.580777

8.467883

8.811045

9.064706

9.048244

8.307817

8.477798

8.563172

8.585142

hep-th/9602138

null

Jens Hoppe

Higher-Dimensional Integrable Systems from Multilinear Evolution Equations

5 pages

null

10.1088/0305-4470/29/15/003

ETH-TH/96-04

hep-th

null

A multilinear M-dimensional generalization of Lax pairs is introduced and its explicit form is given for the recently discovered class of time-harmonic, integrable, hypersurface motions.

[ { "created": "Mon, 26 Feb 1996 16:30:06 GMT", "version": "v1" } ]

2009-10-30

[ [ "Hoppe", "Jens", "" ] ]

A multilinear M-dimensional generalization of Lax pairs is introduced and its explicit form is given for the recently discovered class of time-harmonic, integrable, hypersurface motions.

27.953104

23.433609

32.516701

21.438522

21.806044

31.014473

22.379587

26.606436

25.041771

27.813242

23.183388

25.527061

30.079889

25.346128

25.578142

25.406229

26.485888

25.618372

24.741541

26.966272

21.170576

1912.10301

Sung-Soo Kim

Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi

Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories

v1: 71 pages, 13 figures, v2: typos corrected, reference added

JHEP02(2020)074

10.1007/JHEP02(2020)074

KIAS-1962

hep-th

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

For any 5d ${\cal N}=1$ superconformal field theory, we propose a "complete" prepotential which reduces to the perturbative prepotential for any of its possible gauge theory realizations, manifests its global symmetry when written in terms of the invariant Coulomb branch parameters, and is valid for the whole parameter region. As concrete examples, we consider $SU(2)$ gauge theories with up to 7 flavors, $Sp(2)$ gauge theories with up to 9 flavors, and $Sp(2)$ gauge theories with 1 antisymmetric tensor and up to 7 flavors, as well as their dual gauge theories.

[ { "created": "Sat, 21 Dec 2019 17:19:36 GMT", "version": "v1" }, { "created": "Sun, 12 Jan 2020 17:03:38 GMT", "version": "v2" } ]

2020-02-17

[ [ "Hayashi", "Hirotaka", "" ], [ "Kim", "Sung-Soo", "" ], [ "Lee", "Kimyeong", "" ], [ "Yagi", "Futoshi", "" ] ]

For any 5d ${\cal N}=1$ superconformal field theory, we propose a "complete" prepotential which reduces to the perturbative prepotential for any of its possible gauge theory realizations, manifests its global symmetry when written in terms of the invariant Coulomb branch parameters, and is valid for the whole parameter region. As concrete examples, we consider $SU(2)$ gauge theories with up to 7 flavors, $Sp(2)$ gauge theories with up to 9 flavors, and $Sp(2)$ gauge theories with 1 antisymmetric tensor and up to 7 flavors, as well as their dual gauge theories.

6.844429

5.896955

7.925507

5.374703

5.859122

6.347668

5.345364

5.642792

5.891636

7.61254

5.659729

5.761232

6.438363

5.688256

5.91851

5.556394

5.634375

5.579761

5.784927

6.492766

5.67509

0904.4299

Federico Piazza

Federico Piazza (Perimeter Institute)

Modifying Gravity in the Infra-Red by imposing an "Ultra-Strong" Equivalence Principle

9 pages, Honorable Mention at the Gravity Research Foundation Essay Competition

Int.J.Mod.Phys.D18:2181,2009

10.1142/S0218271809016065

null

hep-th astro-ph.CO gr-qc

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

The equivalence principle suggests to consider gravity as an infra-red phenomenon, whose effects are visible only outside Einstein's free-falling elevator. By curving spacetime, General Relativity leaves the smallest systems free of classical gravitational effects. However, according to the standard semi-classical treatment, indirect effects of gravity can be experienced inside the elevator through the well-known mechanism of quantum particle production. Here we try a different path than the one historically followed: rather than imposing field quantization on top of a curved manifold, we attempt to upgrade the equivalence principle and extend it to the quantum phenomena. Therefore, we consider, and try to realize in a theoretical framework, a stronger version of the equivalence principle, in which all the effects of gravity are definitely banned from the elevator and confined to the infra-red. For this purpose, we introduce infra-red modified commutation relations for the global field operators (Fourier modes) that allow to reabsorb the time-dependent quadratic divergence of the vacuum expectation value of the stress-energy tensor. The proposed modification is effective on length scales comparable to the inverse curvature and, therefore, does no add any dimensional parameter to the theory.

[ { "created": "Tue, 28 Apr 2009 03:21:26 GMT", "version": "v1" }, { "created": "Sat, 4 Jul 2009 14:29:11 GMT", "version": "v2" } ]

2010-02-27

[ [ "Piazza", "Federico", "", "Perimeter Institute" ] ]

The equivalence principle suggests to consider gravity as an infra-red phenomenon, whose effects are visible only outside Einstein's free-falling elevator. By curving spacetime, General Relativity leaves the smallest systems free of classical gravitational effects. However, according to the standard semi-classical treatment, indirect effects of gravity can be experienced inside the elevator through the well-known mechanism of quantum particle production. Here we try a different path than the one historically followed: rather than imposing field quantization on top of a curved manifold, we attempt to upgrade the equivalence principle and extend it to the quantum phenomena. Therefore, we consider, and try to realize in a theoretical framework, a stronger version of the equivalence principle, in which all the effects of gravity are definitely banned from the elevator and confined to the infra-red. For this purpose, we introduce infra-red modified commutation relations for the global field operators (Fourier modes) that allow to reabsorb the time-dependent quadratic divergence of the vacuum expectation value of the stress-energy tensor. The proposed modification is effective on length scales comparable to the inverse curvature and, therefore, does no add any dimensional parameter to the theory.

14.53755

15.634422

14.666751

14.264345

15.106993

16.943068

15.387963

14.117732

14.193493

15.346994

14.596759

14.05558

14.044608

13.938653

13.750673

14.240812

14.32506

13.961768

14.014856

14.223331

14.564043

1002.3764

Claudio Scrucca

Christopher Andrey, Claudio A. Scrucca

Mildly sequestered supergravity models and their realization in string theory

31 pages, LaTex, no figures

Nucl. Phys. B834:363-389, 2010

10.1016/j.nuclphysb.2010.03.024

null

hep-th

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

We elaborate on the idea that five-dimensional models where sequestering is spoiled due to contact interactions induced by vector multiplets may still be mildly sequestered if a global version of the gauge symmetry associated to the latter survives in the hidden sector. Interestingly, it has been argued that although in such a situation non-trivial current-current contact interactions are induced by the heavy vector modes, these do not induce soft scalar masses, as a consequence of the global symmetry. We perform a detailed study of how this hybrid mechanism can be implemented in supergravity and string models, focusing on the prototypical case of heterotic M-theory orbifolds. We emphasize that in general the mechanism works only up to subleading effects suppressed by the ratio between the global symmetry breaking scale in the hidden sector and the vector mass scale or the Planck scale. We also argue that this mild sequestering mechanism allows to rehabilitate the scenario of dilaton domination of supersymmetry breaking, which is incompatible with dilaton stabilization in its original version, by exploiting the fact that hidden brane fields do contribute to the cosmological constant but not to soft terms, thanks to the global symmetry.

[ { "created": "Fri, 19 Feb 2010 15:51:40 GMT", "version": "v1" } ]

2010-05-19

[ [ "Andrey", "Christopher", "" ], [ "Scrucca", "Claudio A.", "" ] ]

We elaborate on the idea that five-dimensional models where sequestering is spoiled due to contact interactions induced by vector multiplets may still be mildly sequestered if a global version of the gauge symmetry associated to the latter survives in the hidden sector. Interestingly, it has been argued that although in such a situation non-trivial current-current contact interactions are induced by the heavy vector modes, these do not induce soft scalar masses, as a consequence of the global symmetry. We perform a detailed study of how this hybrid mechanism can be implemented in supergravity and string models, focusing on the prototypical case of heterotic M-theory orbifolds. We emphasize that in general the mechanism works only up to subleading effects suppressed by the ratio between the global symmetry breaking scale in the hidden sector and the vector mass scale or the Planck scale. We also argue that this mild sequestering mechanism allows to rehabilitate the scenario of dilaton domination of supersymmetry breaking, which is incompatible with dilaton stabilization in its original version, by exploiting the fact that hidden brane fields do contribute to the cosmological constant but not to soft terms, thanks to the global symmetry.

10.625249

10.968159

11.008721

9.789192

10.861222

11.073875

10.369617

10.179418

9.618626

11.572608

9.654741

10.307212

10.053565

9.829332

10.305335

10.138178

10.260649

9.911674

10.029056

10.39286

9.82616

hep-th/9303159

Michael Douglas

Michael R. Douglas

Conformal Field Theory Techniques for Large N Group Theory

RU-93-13, NSF-ITP-93-39, 13 pp

null

hep-th

null

We show how to use quantum mechanics on the group manifold U(N) as a tool for problems in U(N) representation theory. The quantum mechanics reduces to free fermions on the circle, which in the large N limit become relativistic. The theory can be bosonized giving the Das-Jevicki-Sakita collective field theory. The formalism is particularly suited to problems involving tensor product multiplicity (Littlewood-Richardson) coefficients. As examples, we discuss the partition function of two-dimensional Yang-Mills theory on the sphere, and the zero magnetic field limit of D-dimensional Eguchi-Kawai Yang-Mills theory. We give the leading O(N^0) solution of the latter theory, using a method which allows computing corrections. Largely (but not completely) superseded by hep-th/9311130.

[ { "created": "Tue, 30 Mar 1993 06:18:08 GMT", "version": "v1" } ]

2007-05-23

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

We show how to use quantum mechanics on the group manifold U(N) as a tool for problems in U(N) representation theory. The quantum mechanics reduces to free fermions on the circle, which in the large N limit become relativistic. The theory can be bosonized giving the Das-Jevicki-Sakita collective field theory. The formalism is particularly suited to problems involving tensor product multiplicity (Littlewood-Richardson) coefficients. As examples, we discuss the partition function of two-dimensional Yang-Mills theory on the sphere, and the zero magnetic field limit of D-dimensional Eguchi-Kawai Yang-Mills theory. We give the leading O(N^0) solution of the latter theory, using a method which allows computing corrections. Largely (but not completely) superseded by hep-th/9311130.

10.762918

9.93867

12.568363

10.282681

11.17716

10.455567

11.214528

11.025043

10.817774

12.647091

10.381568

10.44343

10.963141

10.097702

10.649841

10.196882

10.301018

10.616194

10.05109

10.841743

10.494057

hep-th/0208163

Koenraad Schalm

Brian R. Greene, Koenraad Schalm, and Gary Shiu

On the Hagedorn Behaviour of PP-wave Strings and N=4 SYM Theory at Finite R-Charge Density

23 pages, LaTeX, 1 figure; v2 minor corrections and clarifications, references added; v3 nature of the Hagedorn transition updated, version published in NPB

Nucl.Phys.B652:105-126,2003

10.1016/S0550-3213(02)01071-4

CU-TP-1067, UPR-1009-T, MAD-TH-02-1

hep-th

null

We discuss the high temperature behaviour of IIB strings in the maximally symmetric plane wave background, and show that there is a Hagedorn temperature. We discuss the map between strings in the pp-wave background and the dual superconformal field theory in the thermal domain. The Hagedorn bound describes a curve in the R-charge chemical potential versus temperature phase diagram of the dual Yang-Mills theory and the theory manifestly exists on both sides. Using a recent observation of Brower, Lowe, and Tan, we update our earlier calculation to reflect that the pp-wave string exists on both sides of the Hagedorn bound as well.

[ { "created": "Thu, 22 Aug 2002 13:47:30 GMT", "version": "v1" }, { "created": "Thu, 3 Oct 2002 14:31:37 GMT", "version": "v2" }, { "created": "Fri, 21 Nov 2003 22:38:09 GMT", "version": "v3" } ]

2011-07-19

[ [ "Greene", "Brian R.", "" ], [ "Schalm", "Koenraad", "" ], [ "Shiu", "Gary", "" ] ]

We discuss the high temperature behaviour of IIB strings in the maximally symmetric plane wave background, and show that there is a Hagedorn temperature. We discuss the map between strings in the pp-wave background and the dual superconformal field theory in the thermal domain. The Hagedorn bound describes a curve in the R-charge chemical potential versus temperature phase diagram of the dual Yang-Mills theory and the theory manifestly exists on both sides. Using a recent observation of Brower, Lowe, and Tan, we update our earlier calculation to reflect that the pp-wave string exists on both sides of the Hagedorn bound as well.

13.134265

10.650641

14.484668

12.857971

11.553549

12.465719

11.314334

11.968618

12.720381

15.271614

11.343181

11.209497

12.681452

11.769575

11.586715

11.642136

11.260762

11.69274

11.638813

13.554593

11.360081

2004.12701

Alesandro Santos

A. F. Santos, S. C. Ulhoa and Faqir C. Khanna

On Stefan-Boltzmann law and the Casimir effect at finite temperature in the Schwarzschild spacetime

13 pages, accepted for publication in IJMPA

null

10.1142/S0217751X20500669

null

hep-th gr-qc

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

This paper deals with quantum field theory in curved space-time using the Thermo Field Dynamics. The scalar field is coupled to the Schwarzschild space time and then thermalised. The Stefan-Boltzmann law is established at finite temperature and the entropy of the field is calculated. Then the Casimir energy and pressure are obtained at zero and finite temperature.

[ { "created": "Mon, 27 Apr 2020 10:49:21 GMT", "version": "v1" } ]

2020-06-10

[ [ "Santos", "A. F.", "" ], [ "Ulhoa", "S. C.", "" ], [ "Khanna", "Faqir C.", "" ] ]

This paper deals with quantum field theory in curved space-time using the Thermo Field Dynamics. The scalar field is coupled to the Schwarzschild space time and then thermalised. The Stefan-Boltzmann law is established at finite temperature and the entropy of the field is calculated. Then the Casimir energy and pressure are obtained at zero and finite temperature.

8.837944

6.782535

7.920244

7.072927

6.548278

7.264981

7.242307

7.121505

7.346432

7.350744

7.229375

8.103271

7.800933

7.435963

7.470843

7.604498

7.428036

7.411489

7.689286

7.766023

7.435109

2005.07211

George Zahariade

Maulik Parikh, Frank Wilczek, and George Zahariade

The Noise of Gravitons

First prize in the Gravity Research Foundation Essay Competition. 6 pages. Published version

Int. J. Mod. Phys. D29 (2020) 2042001

10.1142/S0218271820420018

null

hep-th gr-qc

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

We show that when the gravitational field is treated quantum-mechanically, it induces fluctuations -- noise -- in the lengths of the arms of gravitational wave detectors. The characteristics of the noise depend on the quantum state of the gravitational field, and can be calculated exactly in several interesting cases. For coherent states the noise is very small, but it can be greatly enhanced in thermal and (especially) squeezed states. Detection of this fundamental noise would constitute direct evidence for the quantization of gravity and the existence of gravitons.

[ { "created": "Thu, 14 May 2020 18:00:10 GMT", "version": "v1" }, { "created": "Wed, 21 Oct 2020 01:36:24 GMT", "version": "v2" } ]

2020-10-22

[ [ "Parikh", "Maulik", "" ], [ "Wilczek", "Frank", "" ], [ "Zahariade", "George", "" ] ]

We show that when the gravitational field is treated quantum-mechanically, it induces fluctuations -- noise -- in the lengths of the arms of gravitational wave detectors. The characteristics of the noise depend on the quantum state of the gravitational field, and can be calculated exactly in several interesting cases. For coherent states the noise is very small, but it can be greatly enhanced in thermal and (especially) squeezed states. Detection of this fundamental noise would constitute direct evidence for the quantization of gravity and the existence of gravitons.

7.274928

5.925587

6.083048

6.025574

6.986372

6.762207

7.194077

6.232918

7.277035

6.26151

6.976273

7.04371

6.684062

6.493812

6.77027

6.604184

6.95963

6.396996

6.779632

6.543504

6.79025

2106.10274

Dalimil Mazac

Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli, David Simmons-Duffin

AdS Bulk Locality from Sharp CFT Bounds

70+21 pages, 18 figures

null

10.1007/JHEP11(2021)164

null

hep-th

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

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conjecture by deriving numerical bounds on bulk Wilson coefficients in terms of $\Delta_{\text{gap}}$ using the conformal bootstrap. Our bounds exhibit the scaling in $\Delta_{\text{gap}}$ expected from dimensional analysis in the bulk. Our main tools are dispersive sum rules that provide a dictionary between CFT dispersion relations and S-matrix dispersion relations in appropriate limits. This dictionary allows us to apply recently-developed flat-space methods to construct positive CFT functionals. We show how AdS$_{4}$ naturally resolves the infrared divergences present in 4D flat-space bounds. Our results imply the validity of twice-subtracted dispersion relations for any S-matrix arising from the flat-space limit of AdS/CFT.

[ { "created": "Fri, 18 Jun 2021 17:59:58 GMT", "version": "v1" } ]

2021-12-08

[ [ "Caron-Huot", "Simon", "" ], [ "Mazac", "Dalimil", "" ], [ "Rastelli", "Leonardo", "" ], [ "Simmons-Duffin", "David", "" ] ]

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conjecture by deriving numerical bounds on bulk Wilson coefficients in terms of $\Delta_{\text{gap}}$ using the conformal bootstrap. Our bounds exhibit the scaling in $\Delta_{\text{gap}}$ expected from dimensional analysis in the bulk. Our main tools are dispersive sum rules that provide a dictionary between CFT dispersion relations and S-matrix dispersion relations in appropriate limits. This dictionary allows us to apply recently-developed flat-space methods to construct positive CFT functionals. We show how AdS$_{4}$ naturally resolves the infrared divergences present in 4D flat-space bounds. Our results imply the validity of twice-subtracted dispersion relations for any S-matrix arising from the flat-space limit of AdS/CFT.

8.001959

8.58137

9.040875

7.384126

7.23352

8.376569

7.543003

7.627244

7.831329

9.817819

7.779919

8.219071

7.927986

7.666266

7.87089

7.884174

7.585997

7.50077

7.742449

8.06725

7.779592

hep-th/0410190

Gerald V. Dunne

Gerald V. Dunne, Jin Hur, Choonkyu Lee, Hyunsoo Min

Precise Quark Mass Dependence of Instanton Determinant

4 pages, 2 figures

Phys.Rev.Lett. 94 (2005) 072001

10.1103/PhysRevLett.94.072001

null

hep-th hep-lat hep-ph

null

The fermion determinant in an instanton background for a quark field of arbitrary mass is determined exactly using an efficient numerical method to evaluate the determinant of a partial wave radial differential operator. The bare sum over partial waves is divergent but can be renormalized in the minimal subtraction scheme using the result of WKB analysis of the large partial wave contribution. Previously, only a few leading terms in the extreme small and large mass limits were known for the corresponding effective action. Our approach works for any quark mass and interpolates smoothly between the analytically known small and large mass expansions.

[ { "created": "Mon, 18 Oct 2004 20:06:30 GMT", "version": "v1" } ]

2009-11-10

[ [ "Dunne", "Gerald V.", "" ], [ "Hur", "Jin", "" ], [ "Lee", "Choonkyu", "" ], [ "Min", "Hyunsoo", "" ] ]

The fermion determinant in an instanton background for a quark field of arbitrary mass is determined exactly using an efficient numerical method to evaluate the determinant of a partial wave radial differential operator. The bare sum over partial waves is divergent but can be renormalized in the minimal subtraction scheme using the result of WKB analysis of the large partial wave contribution. Previously, only a few leading terms in the extreme small and large mass limits were known for the corresponding effective action. Our approach works for any quark mass and interpolates smoothly between the analytically known small and large mass expansions.

12.9793

11.374694

12.830918

11.410259

13.758104

11.695225

11.940496

13.526991

11.366775

12.69821

11.665144

11.428679

11.986216

11.730931

12.011894

11.703182

11.731715

11.316893

11.830235

12.65706

11.522217

0906.0581

Jonathan Heckman

Jonathan J. Heckman, Alireza Tavanfar, Cumrun Vafa

The Point of E_8 in F-theory GUTs

v2: 108 pages, 3 figures, clarifications added

JHEP 1008:040,2010

10.1007/JHEP08(2010)040

null

hep-th astro-ph.HE hep-ph

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

We show that in F-theory GUTs, a natural explanation of flavor hierarchies in the quark and lepton sector requires a single point of E_8 enhancement in the internal geometry, from which all Yukawa couplings originate. The monodromy group acting on the seven-brane configuration plays a key role in this analysis. Moreover, the E_8 structure automatically leads to the existence of the additional fields and interactions needed for minimal gauge mediated supersymmetry breaking,__and almost nothing else__. Surprisingly, we find that in all but one Dirac neutrino scenario the messenger fields in the gauge mediated supersymmetry breaking sector transform as vector-like pairs in the 10 + 10* of SU(5). We also classify dark matter candidates available from this enhancement point, and rule out both annihilating and decaying dark matter scenarios as explanations for the recent experiments PAMELA, ATIC and FERMI. In F-theory GUT models, a 10-100 MeV mass gravitino remains as the prime candidate for dark matter, thus suggesting an astrophysical origin for recent experimental signals.

[ { "created": "Wed, 3 Jun 2009 19:02:57 GMT", "version": "v1" }, { "created": "Wed, 14 Jul 2010 02:20:16 GMT", "version": "v2" } ]

2014-11-20

[ [ "Heckman", "Jonathan J.", "" ], [ "Tavanfar", "Alireza", "" ], [ "Vafa", "Cumrun", "" ] ]

We show that in F-theory GUTs, a natural explanation of flavor hierarchies in the quark and lepton sector requires a single point of E_8 enhancement in the internal geometry, from which all Yukawa couplings originate. The monodromy group acting on the seven-brane configuration plays a key role in this analysis. Moreover, the E_8 structure automatically leads to the existence of the additional fields and interactions needed for minimal gauge mediated supersymmetry breaking,__and almost nothing else__. Surprisingly, we find that in all but one Dirac neutrino scenario the messenger fields in the gauge mediated supersymmetry breaking sector transform as vector-like pairs in the 10 + 10* of SU(5). We also classify dark matter candidates available from this enhancement point, and rule out both annihilating and decaying dark matter scenarios as explanations for the recent experiments PAMELA, ATIC and FERMI. In F-theory GUT models, a 10-100 MeV mass gravitino remains as the prime candidate for dark matter, thus suggesting an astrophysical origin for recent experimental signals.

10.362344

11.905114

10.800168

10.204013

10.516566

11.831763

11.410466

10.864139

9.823352

12.025318

10.617206

11.095728

10.609867

10.120785

10.246288

10.945447

10.292694

10.35171

10.388141

10.862118

10.578618

hep-th/0611225

Amir H. Fatollahi

A. H. Fatollahi and M. Hajirahimi

Black-Body Radiation Of Noncommutative Gauge Fields

10 pages, no figs, LaTeX

Phys.Lett.B641:381-385,2006

10.1016/j.physletb.2006.08.081

null

hep-th astro-ph hep-ph

null

The black-body radiation is considered in a theory with noncommutative electromagnetic fields; that is noncommutativity is introduced in field space, rather than in real space. A direct implication of the result on Cosmic Microwave Background map is argued.

[ { "created": "Tue, 21 Nov 2006 18:10:22 GMT", "version": "v1" } ]

2008-11-26

[ [ "Fatollahi", "A. H.", "" ], [ "Hajirahimi", "M.", "" ] ]

The black-body radiation is considered in a theory with noncommutative electromagnetic fields; that is noncommutativity is introduced in field space, rather than in real space. A direct implication of the result on Cosmic Microwave Background map is argued.

23.540705

17.838875

17.635233

17.727047

16.786093

17.671986

17.994539

16.733303

18.112703

20.057896

18.131395

17.655893

17.764812

17.095762

17.172657

17.845974

17.981462

18.707506

17.519577

18.501833

17.585403

1704.08773

Min-Seok Seo

Yuta Hamada, Min-Seok Seo, Gary Shiu

Large gauge transformation and little group for soft photons

5 pages, no figure, version to appear in Phys. Rev. D

Phys. Rev. D 96, 105013 (2017)

10.1103/PhysRevD.96.105013

CTPU-17-14, MAD-TH-17-03

hep-th hep-ph

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

Recently, large gauge transformation (LGT), the residual gauge symmetry after gauge fixing that survives at null infinity, has drawn much attention concerning soft theorems and the memory effect. We point out that LGT charges in quantum electrodynamics are in fact one of non-compact generators of the two dimensional Euclidean group. Moreover, by comparing two equivalent descriptions of gauge transformation, we suggest that LGT is simply another way of describing the gauged little group for massless soft photons.

[ { "created": "Thu, 27 Apr 2017 23:36:26 GMT", "version": "v1" }, { "created": "Wed, 15 Nov 2017 15:51:47 GMT", "version": "v2" } ]

2017-11-29

[ [ "Hamada", "Yuta", "" ], [ "Seo", "Min-Seok", "" ], [ "Shiu", "Gary", "" ] ]

Recently, large gauge transformation (LGT), the residual gauge symmetry after gauge fixing that survives at null infinity, has drawn much attention concerning soft theorems and the memory effect. We point out that LGT charges in quantum electrodynamics are in fact one of non-compact generators of the two dimensional Euclidean group. Moreover, by comparing two equivalent descriptions of gauge transformation, we suggest that LGT is simply another way of describing the gauged little group for massless soft photons.

14.805024

14.684317

14.387409

12.089571

13.575046

12.947823

14.762861

13.33225

13.370304

14.333803

13.911352

14.014977

12.634761

12.689319

13.425333

13.320605

13.272903

13.09783

12.740252

13.388391

13.995846

hep-th/9912030

Takeshi Sato

A 10-form Gauge Potential and an M-9-brane Wess-Zumino Action in Massive 11D Theory

15pages, Latex; in v2 two computational and some typing errors corrected (one term added to eq.(3.19), coeffifients of the third line of eq.(3.22) and that of the last term of eq.(3.18) corrected), one paper by Meessen and Ortin added as ref.26

Phys.Lett. B477 (2000) 457-468

10.1016/S0370-2693(00)00229-X

null

hep-th

null

We discuss some properties of an M-9-brane in ``massive 11D theory'' proposed by Bergshoeff, Lozano and Ortin. A 10-form gauge potential is consistently introduced into the massive 11D supergravity, and an M-9-brane Wess-Zumino action is constructed as that of a gauged $\sigma$-model. Using duality relations is crucial in deriving the action, which we learn from the study of a 9-form potential in 10D massive IIA theory. A target space solution of an M-9-brane with a non-vanishing 10-form gauge field is also obtained, whose source is shown to be the M-9-brane effective action.

[ { "created": "Sat, 4 Dec 1999 17:20:21 GMT", "version": "v1" }, { "created": "Wed, 26 Jan 2000 07:31:46 GMT", "version": "v2" } ]

2009-10-31

[ [ "Sato", "Takeshi", "" ] ]

We discuss some properties of an M-9-brane in ``massive 11D theory'' proposed by Bergshoeff, Lozano and Ortin. A 10-form gauge potential is consistently introduced into the massive 11D supergravity, and an M-9-brane Wess-Zumino action is constructed as that of a gauged $\sigma$-model. Using duality relations is crucial in deriving the action, which we learn from the study of a 9-form potential in 10D massive IIA theory. A target space solution of an M-9-brane with a non-vanishing 10-form gauge field is also obtained, whose source is shown to be the M-9-brane effective action.

9.002833

8.584624

9.406621

8.082603

7.453882

7.835095

7.700218

7.381945

7.547876

9.499556

7.582418

7.914021

8.96106

8.084676

7.925847

7.908456

7.840403

7.674901

7.822962

8.490978

7.771657

1507.00727

Sam Cormack

Stephon Alexander, Sam Cormack and Marcelo Gleiser

A Cyclic Universe Approach to Fine Tuning

5 pages, 2 figures

Phys. Lett. B, 757 (2016), 247

10.1016/j.physletb.2016.03.082

null

hep-th gr-qc

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

We present a closed bouncing universe model where the value of coupling constants is set by the dynamics of a ghost-like dilatonic scalar field. We show that adding a periodic potential for the scalar field leads to a cyclic Friedmann universe where the values of the couplings vary randomly from one cycle to the next. While the shuffling of values for the couplings happens during the bounce, within each cycle their time-dependence remains safely within present observational bounds for physically-motivated values of the model parameters. Our model presents an alternative to solutions of the fine tuning problem based on string landscape scenarios.

[ { "created": "Thu, 2 Jul 2015 20:00:28 GMT", "version": "v1" }, { "created": "Mon, 4 Apr 2016 16:17:06 GMT", "version": "v2" } ]

2016-06-06

[ [ "Alexander", "Stephon", "" ], [ "Cormack", "Sam", "" ], [ "Gleiser", "Marcelo", "" ] ]

We present a closed bouncing universe model where the value of coupling constants is set by the dynamics of a ghost-like dilatonic scalar field. We show that adding a periodic potential for the scalar field leads to a cyclic Friedmann universe where the values of the couplings vary randomly from one cycle to the next. While the shuffling of values for the couplings happens during the bounce, within each cycle their time-dependence remains safely within present observational bounds for physically-motivated values of the model parameters. Our model presents an alternative to solutions of the fine tuning problem based on string landscape scenarios.

13.542015

13.320475

12.963081

13.25302

14.807957

13.123002

15.443024

12.980747

13.574985

14.566044

13.276312

13.45685

13.662932

13.421967

14.061043

12.852464

13.76808

12.797911

13.45764

13.833241

12.98103

1402.1446

Ademir E. Santana

R.G.G. Amorim, F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson, A.E. Santana

Realization of the Noncommutative Seiberg-Witten Gauge Theory by Fields in Phase Space

null

10.1142/S0217751X15501353

null

hep-th quant-ph

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

Representations of the Poincar\'{e} symmetry are studied by using a Hilbert space with a phase space content. The states are described by wave functions ( quasi amplitudes of probability) associated with Wigner functions (quasi probability density). The gauge symmetry analysis provides a realization of the Seiberg-Witten gauge theory for noncommutative fields.

[ { "created": "Thu, 6 Feb 2014 18:20:34 GMT", "version": "v1" } ]

2015-09-02

[ [ "Amorim", "R. G. G.", "" ], [ "Khanna", "F. C.", "" ], [ "Malbouisson", "A. P. C.", "" ], [ "Malbouisson", "J. M. C.", "" ], [ "Santana", "A. E.", "" ] ]

Representations of the Poincar\'{e} symmetry are studied by using a Hilbert space with a phase space content. The states are described by wave functions ( quasi amplitudes of probability) associated with Wigner functions (quasi probability density). The gauge symmetry analysis provides a realization of the Seiberg-Witten gauge theory for noncommutative fields.

16.810831

13.805532

15.683661

14.079608

14.027525

13.829252

12.762116

14.406511

13.800888

17.51125

13.579038

13.916837

14.501099

13.776667

13.723908

13.775917

13.152173

13.511744

13.979138

15.398074

14.24824

2405.14627

Keito Shimizu

Junichi Haruna, Keito Shimizu and Masatoshi Yamada

Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality

18 pages, no figure

null

KUNS-3005

hep-th cond-mat.str-el

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

It is known that the $SU(2)$ Wess-Zumino-Witten model is dual to the free fermion theory in two dimensions via non-Abelian bosonization. Additionally, the $SU(2)$ Wess-Zumino-Witten model is believed to be equivalent to the $O(3)$ nonlinear sigma model with the theta term. In this work, we reexamine this duality through the lens of renormalization group (RG) flow. We analyze the RG flow structure of the $O(3)$ nonlinear sigma model with the theta term in two dimensions using the functional renormalization group. Our results reveal a nontrivial fixed point with a nonzero value of the topological coupling. The scaling dimensions (critical exponents) at this fixed point suggest the realization of duality between the $O(3)$ nonlinear sigma model with the theta term and the free fermion theory, indicating that these models belong to the same universality class.

[ { "created": "Thu, 23 May 2024 14:34:19 GMT", "version": "v1" } ]

2024-05-24

[ [ "Haruna", "Junichi", "" ], [ "Shimizu", "Keito", "" ], [ "Yamada", "Masatoshi", "" ] ]

It is known that the $SU(2)$ Wess-Zumino-Witten model is dual to the free fermion theory in two dimensions via non-Abelian bosonization. Additionally, the $SU(2)$ Wess-Zumino-Witten model is believed to be equivalent to the $O(3)$ nonlinear sigma model with the theta term. In this work, we reexamine this duality through the lens of renormalization group (RG) flow. We analyze the RG flow structure of the $O(3)$ nonlinear sigma model with the theta term in two dimensions using the functional renormalization group. Our results reveal a nontrivial fixed point with a nonzero value of the topological coupling. The scaling dimensions (critical exponents) at this fixed point suggest the realization of duality between the $O(3)$ nonlinear sigma model with the theta term and the free fermion theory, indicating that these models belong to the same universality class.

3.721208

3.354436

3.848356

3.59475

3.468256

3.562719

3.421347

3.498323

3.462535

3.896347

3.525455

3.505875

3.71462

3.58771

3.621975

3.597011

3.476292

3.609935

3.563105

3.612236

3.561094

1305.0856

Bartlomiej Czech

Vijay Balasubramanian, Bartlomiej Czech, Borun D. Chowdhury, Jan de Boer

The entropy of a hole in spacetime

9 pages, 1 figure; v2: published version including updated references

JHEP 1310 (2013) 220

10.1007/JHEP10(2013)220

null

hep-th

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

We compute the gravitational entropy of 'spherical Rindler space', a time-dependent, spherically symmetric generalization of ordinary Rindler space, defined with reference to a family of observers traveling along non-parallel, accelerated trajectories. All these observers are causally disconnected from a spherical region H (a 'hole') located at the origin of Minkowski space. The entropy evaluates to S = A/4G, where A is the area of the spherical acceleration horizon, which coincides with the boundary of H. We propose that S is the entropy of entanglement between quantum gravitational degrees of freedom supporting the interior and the exterior of the sphere H.

[ { "created": "Fri, 3 May 2013 23:04:00 GMT", "version": "v1" }, { "created": "Tue, 5 Nov 2013 07:08:49 GMT", "version": "v2" } ]

2013-11-06

[ [ "Balasubramanian", "Vijay", "" ], [ "Czech", "Bartlomiej", "" ], [ "Chowdhury", "Borun D.", "" ], [ "de Boer", "Jan", "" ] ]

We compute the gravitational entropy of 'spherical Rindler space', a time-dependent, spherically symmetric generalization of ordinary Rindler space, defined with reference to a family of observers traveling along non-parallel, accelerated trajectories. All these observers are causally disconnected from a spherical region H (a 'hole') located at the origin of Minkowski space. The entropy evaluates to S = A/4G, where A is the area of the spherical acceleration horizon, which coincides with the boundary of H. We propose that S is the entropy of entanglement between quantum gravitational degrees of freedom supporting the interior and the exterior of the sphere H.

9.135715

8.79039

8.378804

8.117811

9.92161

9.062168

8.274638

7.851802

8.415667

9.908861

8.622705

8.959659

8.402578

8.67655

8.82736

8.757071

8.876356

8.653225

8.694639

8.700526

8.407867

2305.07505

Arkaprava Mukherjee

Takanori Anegawa, Norihiro Iizuka, Arkaprava Mukherjee, Sunil Kumar Sake, Sandip P. Trivedi

Sparse random matrices and Gaussian ensembles with varying randomness

89 pages, 38 figures. v2: Section 3.1.1 added where we show that the rescaling can be modelled in terms of a weakening of the eigenvalue repulsion term. Appendix A is expanded

JHEP 11(2023)234

10.1007/JHEP11(2023)234

null

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

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

We study a system of $N$ qubits with a random Hamiltonian obtained by drawing coupling constants from Gaussian distributions in various ways. This results in a rich class of systems which include the GUE and the fixed $q$ SYK theories. Our motivation is to understand the system at large $N$. In practice most of our calculations are carried out using exact diagonalisation techniques (up to $N=24$). Starting with the GUE, we study the resulting behaviour as the randomness is decreased. While in general the system goes from being chaotic to being more ordered as the randomness is decreased, the changes in various properties, including the density of states, the spectral form factor, the level statistics and out-of-time-ordered correlators, reveal interesting patterns. Subject to the limitations of our analysis which is mainly numerical, we find some evidence that the behaviour changes in an abrupt manner when the number of non-zero independent terms in the Hamiltonian is exponentially large in $N$. We also study the opposite limit of much reduced randomness obtained in a local version of the SYK model where the number of couplings scales linearly in $N$, and characterise its behaviour. Our investigation suggests that a more complete theoretical analysis of this class of systems will prove quite worthwhile.

[ { "created": "Fri, 12 May 2023 14:19:27 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2023 14:32:27 GMT", "version": "v2" } ]

2023-12-25

[ [ "Anegawa", "Takanori", "" ], [ "Iizuka", "Norihiro", "" ], [ "Mukherjee", "Arkaprava", "" ], [ "Sake", "Sunil Kumar", "" ], [ "Trivedi", "Sandip P.", "" ] ]

We study a system of $N$ qubits with a random Hamiltonian obtained by drawing coupling constants from Gaussian distributions in various ways. This results in a rich class of systems which include the GUE and the fixed $q$ SYK theories. Our motivation is to understand the system at large $N$. In practice most of our calculations are carried out using exact diagonalisation techniques (up to $N=24$). Starting with the GUE, we study the resulting behaviour as the randomness is decreased. While in general the system goes from being chaotic to being more ordered as the randomness is decreased, the changes in various properties, including the density of states, the spectral form factor, the level statistics and out-of-time-ordered correlators, reveal interesting patterns. Subject to the limitations of our analysis which is mainly numerical, we find some evidence that the behaviour changes in an abrupt manner when the number of non-zero independent terms in the Hamiltonian is exponentially large in $N$. We also study the opposite limit of much reduced randomness obtained in a local version of the SYK model where the number of couplings scales linearly in $N$, and characterise its behaviour. Our investigation suggests that a more complete theoretical analysis of this class of systems will prove quite worthwhile.

9.246515

9.401403

9.387392

8.949338

8.805791

10.186106

8.683838

8.78024

8.650737

9.875418

8.744095

8.758541

9.364814

8.86681

8.84245

8.736587

9.037263

8.871073

8.716282

9.415673

8.588283

1710.04558

Freddy Cachazo

Combinatorial Factorization

14 pages

null

hep-th

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

The simplest integrands in the CHY formulation of scattering amplitudes are constructed using the so-called Parke-Taylor functions. Parke-Taylor functions also turn out to belong to a large class of rational functions known as MHV leading singularities. In fact, Parke-Taylor functions correspond to planar MHV leading singularities. In this note we study the behavior of CHY integrands constructed using non-planar MHV leading singularities under collinear and multi-particle factorization limits. General $n$-particle MHV leading singularities are completely characterized by a set of $(n-2)$ triples of particle labels. We give a simple operation on this combinatorial data which "factors" the list into two sets of triples defining two lower point MHV leading singularities. The fact that general MHV leading singularities form a closed set under "multi-particle factorizations" is surprising from their gauge theoretic origin.

[ { "created": "Thu, 12 Oct 2017 15:13:59 GMT", "version": "v1" } ]

2017-10-13

[ [ "Cachazo", "Freddy", "" ] ]

The simplest integrands in the CHY formulation of scattering amplitudes are constructed using the so-called Parke-Taylor functions. Parke-Taylor functions also turn out to belong to a large class of rational functions known as MHV leading singularities. In fact, Parke-Taylor functions correspond to planar MHV leading singularities. In this note we study the behavior of CHY integrands constructed using non-planar MHV leading singularities under collinear and multi-particle factorization limits. General $n$-particle MHV leading singularities are completely characterized by a set of $(n-2)$ triples of particle labels. We give a simple operation on this combinatorial data which "factors" the list into two sets of triples defining two lower point MHV leading singularities. The fact that general MHV leading singularities form a closed set under "multi-particle factorizations" is surprising from their gauge theoretic origin.

7.577765

7.433989

7.898925

7.039315

7.627632

7.273538

7.768538

7.309134

7.396327

8.684719

6.803981

7.235219

7.448641

7.176691

7.319003

7.378941

7.237645

7.27708

7.152971

7.433882

7.310622

hep-th/9212005

null

David B. Fairlie and Jan Govaerts

Linearisation of Universal Field Equations

11pp., DTP-92/47, NI-92/011

J.Phys. A26 (1993) 3339-3347

10.1088/0305-4470/26/13/037

null

hep-th

null

The Universal Field Equations, recently constructed as examples of higher dimensional dynamical systems which admit an infinity of inequivalent Lagrangians are shown to be linearised by a Legendre transformation. This establishes the conjecture that these equations describe integrable systems. While this construction is implicit in general, there exists a large class of solutions for which an explicit form may be written.

[ { "created": "Tue, 1 Dec 1992 15:53:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Fairlie", "David B.", "" ], [ "Govaerts", "Jan", "" ] ]

The Universal Field Equations, recently constructed as examples of higher dimensional dynamical systems which admit an infinity of inequivalent Lagrangians are shown to be linearised by a Legendre transformation. This establishes the conjecture that these equations describe integrable systems. While this construction is implicit in general, there exists a large class of solutions for which an explicit form may be written.

17.343649

11.94338

16.25535

13.033954

11.734917

12.481359

11.972829

13.106315

13.257239

16.06646

13.502989

13.593228

14.739343

13.83847

13.877215

13.447678

13.077829

13.831161

13.023691

15.563477

14.378425

1109.5846

Horacio E. Camblong

Andrew Briggs, Horacio E. Camblong, Carlos R. Ordonez

Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates

16 pages

Int. J. Mod. Phys. A 28 (2013) 1350047

10.1142/S0217751X13500474

null

hep-th math-ph math.MP

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

The path-integral calculation for the free energy of a spin-1/2 Dirac-fermion gas is performed in spherical polar coordinates for a flat spacetime geometry. Its equivalence with the Cartesian-coordinate representation is explicitly established. This evaluation involves a relevant limiting case of the fermionic path integral in a Schwarzschild background, whose near-horizon limit has been shown to be related to black hole thermodynamics.

[ { "created": "Tue, 27 Sep 2011 11:58:14 GMT", "version": "v1" }, { "created": "Fri, 5 Jul 2013 09:28:36 GMT", "version": "v2" } ]

2013-07-08

[ [ "Briggs", "Andrew", "" ], [ "Camblong", "Horacio E.", "" ], [ "Ordonez", "Carlos R.", "" ] ]

The path-integral calculation for the free energy of a spin-1/2 Dirac-fermion gas is performed in spherical polar coordinates for a flat spacetime geometry. Its equivalence with the Cartesian-coordinate representation is explicitly established. This evaluation involves a relevant limiting case of the fermionic path integral in a Schwarzschild background, whose near-horizon limit has been shown to be related to black hole thermodynamics.

12.454609

11.61689

11.060748

11.958796

10.901005

12.698513

11.37576

11.993997

10.836575

12.574127

11.12624

11.492131

12.229254

11.150459

11.323658

11.111516

11.335486

11.660711

11.670167

11.883842

11.443592

hep-th/0210227

David Bailin

D. Bailin

Standard-like models from D-branes

LaTeX file, 6 pages, based on talk given at the 1st International Conference on String Phenomenology, Oxford, July 6 - 11, 2002

null

10.1007/BF02706404

SUSX-TH-02-020

hep-th

null

I describe the main features of new intersecting D4- and D5-brane orbifold models that yield the non-supersymmetric standard model, up to vector-like matter and, in some cases, extra U(1) factors in the gauge group. There are six-stack D4-brane models that have charged-singlet scalar tachyons and which either contain all of the Yukawa couplings to the tachyonic Higgs doublets that are needed to generate mass terms for the fermions at renormalisable level or possess an unwanted extra U(1) gauge symmetry after spontaneous symmetry breaking. In the D5-brane models a minimum of eight stacks is needed.

[ { "created": "Wed, 23 Oct 2002 14:35:56 GMT", "version": "v1" } ]

2009-11-07

[ [ "Bailin", "D.", "" ] ]

I describe the main features of new intersecting D4- and D5-brane orbifold models that yield the non-supersymmetric standard model, up to vector-like matter and, in some cases, extra U(1) factors in the gauge group. There are six-stack D4-brane models that have charged-singlet scalar tachyons and which either contain all of the Yukawa couplings to the tachyonic Higgs doublets that are needed to generate mass terms for the fermions at renormalisable level or possess an unwanted extra U(1) gauge symmetry after spontaneous symmetry breaking. In the D5-brane models a minimum of eight stacks is needed.

10.506693

7.63667

10.540492

8.759915

8.371456

7.63409

7.69754

7.794816

8.088375

10.689225

8.751054

9.362637

9.886471

9.202896

9.4754

9.592421

9.342695

9.389525

8.829462

9.816846

9.292406

1903.11123

Junya Yagi

Jihwan Oh and Junya Yagi

Chiral algebras from \Omega-deformation

26 pages. v3: A reference added. Published version

JHEP 08 (2019) 143

10.1007/JHEP08(2019)143

null

hep-th

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

In the presence of an $\Omega$-deformation, local operators generate a chiral algebra in the topological-holomorphic twist of a four-dimensional $\mathcal{N} = 2$ supersymmetric field theory. We show that for a unitary $\mathcal{N} = 2$ superconformal field theory, the chiral algebra thus defined is isomorphic to the one introduced by Beem et al. Our definition of the chiral algebra covers nonconformal theories with insertions of suitable surface defects.

[ { "created": "Tue, 26 Mar 2019 19:19:09 GMT", "version": "v1" }, { "created": "Tue, 16 Apr 2019 15:16:39 GMT", "version": "v2" }, { "created": "Mon, 26 Aug 2019 19:00:09 GMT", "version": "v3" } ]

2019-08-28

[ [ "Oh", "Jihwan", "" ], [ "Yagi", "Junya", "" ] ]

In the presence of an $\Omega$-deformation, local operators generate a chiral algebra in the topological-holomorphic twist of a four-dimensional $\mathcal{N} = 2$ supersymmetric field theory. We show that for a unitary $\mathcal{N} = 2$ superconformal field theory, the chiral algebra thus defined is isomorphic to the one introduced by Beem et al. Our definition of the chiral algebra covers nonconformal theories with insertions of suitable surface defects.

6.372665

5.087085

7.845283

5.447232

5.122635

5.172304

5.436442

5.133623

5.23717

8.901126

5.43363

5.588773

6.639093

5.708516

5.384386

5.508565

5.62711

5.60369

5.857962

7.088646

5.736426

2212.14728

Ruslan Metsaev

R.R. Metsaev

Light-cone gauge massive and partially-massless fields in AdS(4)

13 pages, v2: Clarifying remarks below eq.(3.13) and in footnote 9 added. Changes in presentation of some formulas are made. No changes in results and conclusions. Reference added

null

10.1016/j.physletb.2023.137790

FIAN-TD-2022-17

hep-th

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

Using light-cone gauge approach, bosonic and fermionic massive and partially-massless fields in AdS(4) space are considered. For such fields, light-cone gauge action is presented. Considering the massive and partially-massless fields in helicity basis and CFT adapted basis, two simple representations of spin operators entering the light-cone gauge action are discussed. The simple representations for the spin operators are obtained by using bosonic spinor-like oscillators. The bosonic spinor-like oscillators allow also us to treat the bosonic and fermionic fields on an equal footing.

[ { "created": "Fri, 30 Dec 2022 14:12:35 GMT", "version": "v1" }, { "created": "Thu, 18 May 2023 13:17:27 GMT", "version": "v2" } ]

2023-05-19

[ [ "Metsaev", "R. R.", "" ] ]

Using light-cone gauge approach, bosonic and fermionic massive and partially-massless fields in AdS(4) space are considered. For such fields, light-cone gauge action is presented. Considering the massive and partially-massless fields in helicity basis and CFT adapted basis, two simple representations of spin operators entering the light-cone gauge action are discussed. The simple representations for the spin operators are obtained by using bosonic spinor-like oscillators. The bosonic spinor-like oscillators allow also us to treat the bosonic and fermionic fields on an equal footing.

9.201162

7.387277

9.538348

7.655309

7.300115

7.133445

7.35879

7.74543

7.550771

10.665855

7.951078

8.140003

9.190091

8.277702

8.310881

8.10115

8.230716

8.432524

8.426018

9.230157

8.523309

2301.10446

Albert Schwarz

Scattering in algebraic approach to quantum theory. Jordan algebras

14 pages

null

hep-th math-ph math.MP math.RA

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

Using geometric approach we formulate quantum theory in terms of Jordan algebras. We analyze the notion of (quasi)particle (=elementary excitation of translation-invariant stationary state) and the scattering of (quasi)particles in this framework.

[ { "created": "Wed, 25 Jan 2023 07:45:59 GMT", "version": "v1" } ]

2023-01-26

[ [ "Schwarz", "Albert", "" ] ]

Using geometric approach we formulate quantum theory in terms of Jordan algebras. We analyze the notion of (quasi)particle (=elementary excitation of translation-invariant stationary state) and the scattering of (quasi)particles in this framework.

15.395284

12.43587

14.899512

13.711064

12.005724

12.980018

13.105218

14.268475

13.377654

17.911119

12.262106

13.783846

14.675441

13.0582

13.484287

12.566113

13.70039

12.582631

13.801704

14.639355

13.864136

1705.10161

Jorge Bellor\'in

Jorge Bellorin and Alvaro Restuccia

On the space of solutions of the Horava theory at the kinetic-conformal point

v3: Eqs. (2.7), (3.9) and (3.10) have been corrected, with no consequences on the main results. Some references added, some typos corrected

Gen. Rel. Grav. 49 (2017) 132

10.1007/s10714-017-2298-4

null

hep-th gr-qc

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

The nonprojectable Horava theory at the kinetic-conformal point is defined by setting a specific value of the coupling constant of the kinetic term of the Lagrangian. This formulation has two additional second class-constraints that eliminate the extra mode. We show that the space of solutions of this theory in the Hamiltonian formalism is bigger than the space of solutions in the original Lagrangian formalism. In the Hamiltonian formalism there are certain configurations for the Lagrange multupliers that lead to solutions that cannot be found in the original Lagrangian formulation. We show specific examples in vacuum and with a source. The solution with the source has homogeneous and isotropic spatial hypersurfaces. The enhancement of the space of solutions leaves the possibility that new solutions applicable to cosmology, or to other physical systems, can be found in the Hamiltonian formalism.

[ { "created": "Mon, 29 May 2017 13:07:41 GMT", "version": "v1" }, { "created": "Wed, 21 Jun 2017 17:00:49 GMT", "version": "v2" }, { "created": "Wed, 18 Oct 2017 16:20:48 GMT", "version": "v3" } ]

2017-10-19

[ [ "Bellorin", "Jorge", "" ], [ "Restuccia", "Alvaro", "" ] ]

The nonprojectable Horava theory at the kinetic-conformal point is defined by setting a specific value of the coupling constant of the kinetic term of the Lagrangian. This formulation has two additional second class-constraints that eliminate the extra mode. We show that the space of solutions of this theory in the Hamiltonian formalism is bigger than the space of solutions in the original Lagrangian formalism. In the Hamiltonian formalism there are certain configurations for the Lagrange multupliers that lead to solutions that cannot be found in the original Lagrangian formulation. We show specific examples in vacuum and with a source. The solution with the source has homogeneous and isotropic spatial hypersurfaces. The enhancement of the space of solutions leaves the possibility that new solutions applicable to cosmology, or to other physical systems, can be found in the Hamiltonian formalism.

9.543222

7.928238

8.935584

7.409333

8.650894

7.841345

7.734426

7.385696

7.939078

8.615664

8.056256

8.091556

8.352684

8.277513

8.293164

8.158383

8.090207

8.131567

8.069372

8.806225

8.256593

1806.01862

Pedro Liendo

Pedro Liendo, Carlo Meneghelli, Vladimir Mitev

Bootstrapping the half-BPS line defect

v2: typos corrected, references added

null

10.1007/JHEP10(2018)077

DESY 18-087, MITP/18-043

hep-th

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

We use modern bootstrap techniques to study half-BPS line defects in 4d N=4 superconformal theories. Specifically, we consider the 1d CFT with OSP(4*|4) superconformal symmetry living on such a defect. Our analysis is general and based only on symmetries, it includes however important examples like Wilson and 't Hooft lines in N=4 super Yang-Mills. We present several numerical bounds on OPE coefficients and conformal dimensions. Of particular interest is a numerical island obtained from a mixed correlator bootstrap that seems to imply a unique solution to crossing. The island is obtained if some assumptions about the spectrum are made, and is consistent with Wilson lines in planar N=4 super Yang-Mills at strong coupling. We further analyze the vicinity of the strong-coupling point by calculating perturbative corrections using analytic methods. This perturbative solution has the sparsest spectrum and is expected to saturate the numerical bounds, explaining some of the features of our numerical results.

[ { "created": "Tue, 5 Jun 2018 18:00:08 GMT", "version": "v1" }, { "created": "Mon, 13 Aug 2018 13:26:57 GMT", "version": "v2" } ]

2018-11-14

[ [ "Liendo", "Pedro", "" ], [ "Meneghelli", "Carlo", "" ], [ "Mitev", "Vladimir", "" ] ]

We use modern bootstrap techniques to study half-BPS line defects in 4d N=4 superconformal theories. Specifically, we consider the 1d CFT with OSP(4*|4) superconformal symmetry living on such a defect. Our analysis is general and based only on symmetries, it includes however important examples like Wilson and 't Hooft lines in N=4 super Yang-Mills. We present several numerical bounds on OPE coefficients and conformal dimensions. Of particular interest is a numerical island obtained from a mixed correlator bootstrap that seems to imply a unique solution to crossing. The island is obtained if some assumptions about the spectrum are made, and is consistent with Wilson lines in planar N=4 super Yang-Mills at strong coupling. We further analyze the vicinity of the strong-coupling point by calculating perturbative corrections using analytic methods. This perturbative solution has the sparsest spectrum and is expected to saturate the numerical bounds, explaining some of the features of our numerical results.

10.811721

8.538767

11.877928

9.118658

8.824383

8.871972

9.592612

8.96901

8.387371

11.83533

8.840331

8.799245

9.760128

8.850813

8.889878

9.088079

9.077388

8.837216

8.821656

9.583866

8.98643

hep-th/9210123

null

M. Cveti\v{c}, R. Davis, S. Griffies, and H. H. Soleng

Cauchy Horizons, Thermodynamics and Closed Time-like Curves in Planar Supersymmetric Space-times

11 pages, 1 figure appended, phyzzx

Phys.Rev.Lett.70:1191-1194,1993

10.1103/PhysRevLett.70.1191

UPR-534-T

hep-th gr-qc

null

We study geodesically complete, singularity free space-times induced by supersymmetric planar domain walls interpolating between Minkowski and anti-de Sitter ($AdS_4$) vacua. A geodesically complete space-time without closed time-like curves includes an infinite number of semi-infinite Minkowski space-times, separated from each other by a region of $AdS_4$ space-time. These space-times are closely related to the extreme Reissner Nordstr\" om (RN) black hole, exhibiting Cauchy horizons with zero Hawking temperature, but in contrast to the RN black hole there is no entropy. Another geodesically complete extension with closed time-like curves involves space-times connecting a finite number of semi-infinite Minkowski space-times.

[ { "created": "Thu, 22 Oct 1992 16:14:05 GMT", "version": "v1" } ]

2009-09-17

[ [ "Cvetič", "M.", "" ], [ "Davis", "R.", "" ], [ "Griffies", "S.", "" ], [ "Soleng", "H. H.", "" ] ]

We study geodesically complete, singularity free space-times induced by supersymmetric planar domain walls interpolating between Minkowski and anti-de Sitter ($AdS_4$) vacua. A geodesically complete space-time without closed time-like curves includes an infinite number of semi-infinite Minkowski space-times, separated from each other by a region of $AdS_4$ space-time. These space-times are closely related to the extreme Reissner Nordstr\" om (RN) black hole, exhibiting Cauchy horizons with zero Hawking temperature, but in contrast to the RN black hole there is no entropy. Another geodesically complete extension with closed time-like curves involves space-times connecting a finite number of semi-infinite Minkowski space-times.

7.232505

6.912221

7.492347

6.657754

6.832294

7.09932

7.024843

6.928207

6.545534

7.478198

6.654344

6.617255

6.743191

6.442763

6.749168

6.703463

6.750539

6.62093

6.648232

6.614893

6.686041

1208.5176

Hamid Omid

Hamid Omid, Gordon W. Semenoff

D3-D7 Holographic dual of a perturbed 3D CFT

23 pages, two figures; typos corrected, some comments added

Phys. Rev. D 88, 026006 (2013)

10.1103/PhysRevD.88.026006

null

hep-th cond-mat.str-el

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

An appropriately oriented D3-D7-brane system is the holographic dual of relativistic Fermions occupying a 2+1-dimensional defect embedded in 3+1-dimensional spacetime. The Fermions interact via fields of ${\mathcal N}=4$ Yang-Mills theory in the 3+1-dimensional bulk. Recently, using internal flux to stabilize the system in the probe $N_7<<N_3$ limit, a number of solutions which are dual to conformal field theories with Fermion content have been found. We use holographic techniques to study perturbations of a particular one of the conformal field theories by relevant operators. Generally, the response of a conformal field theory to such a perturbation grows and becomes nonperturbative at low energy scales. We shall find that a perturbation which switches on a background magnetic field $B$ and Fermion mass $m$ induces a renormalization group flow that can be studied perturbatively in the limit of small $m^2/B$. We solve the leading order explicitly. We find that, for one particular value of internal flux, the system exhibits magnetic catalysis, the spontaneous breaking of chiral symmetry enhanced by the presence of the magnetic field. In the process, we derive formulae predicting the Debye screening length of the Fermion-antiFermion plasma at finite density and the diamagnetic moment of the ground state of the Fermion system in the presence of a magnetic field.

[ { "created": "Sat, 25 Aug 2012 23:15:23 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 2013 20:53:25 GMT", "version": "v2" } ]

2013-07-23

[ [ "Omid", "Hamid", "" ], [ "Semenoff", "Gordon W.", "" ] ]

An appropriately oriented D3-D7-brane system is the holographic dual of relativistic Fermions occupying a 2+1-dimensional defect embedded in 3+1-dimensional spacetime. The Fermions interact via fields of ${\mathcal N}=4$ Yang-Mills theory in the 3+1-dimensional bulk. Recently, using internal flux to stabilize the system in the probe $N_7<<N_3$ limit, a number of solutions which are dual to conformal field theories with Fermion content have been found. We use holographic techniques to study perturbations of a particular one of the conformal field theories by relevant operators. Generally, the response of a conformal field theory to such a perturbation grows and becomes nonperturbative at low energy scales. We shall find that a perturbation which switches on a background magnetic field $B$ and Fermion mass $m$ induces a renormalization group flow that can be studied perturbatively in the limit of small $m^2/B$. We solve the leading order explicitly. We find that, for one particular value of internal flux, the system exhibits magnetic catalysis, the spontaneous breaking of chiral symmetry enhanced by the presence of the magnetic field. In the process, we derive formulae predicting the Debye screening length of the Fermion-antiFermion plasma at finite density and the diamagnetic moment of the ground state of the Fermion system in the presence of a magnetic field.

8.586035

8.769569

9.755301

8.880081

9.077435

8.296953

9.053839

8.35374

8.329264

9.946388

8.691516

8.442124

8.631448

8.221876

8.348193

8.329414

8.205497

8.341484

8.34903

8.592174

8.3393

1608.06468

Silvio Paolo Sorella

M.A.L.Capri, D.Fiorentini, M.S.Guimaraes, B.W.Mintz, L.F.Palhares, S. P. Sorella

On the gauge-invariant operator $A^2_{\min}$ in Euclidean Yang-Mills theories

5 pages. Contribution to the proceedings of the 19th International Conference in Quantum Chromodynamics (QCD 16), 4 July - 8 July 2016, Montpellier, France

null

hep-th hep-lat hep-ph

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

We review our recent work on the gauge-invariant non-local dimension-two operator $A^2_{\rm min}$, whose minimization is defined along the gauge orbit. Albeit non-local, the operator $A^2_{\rm min}$ can be cast in local form through the introduction of an auxiliary Stueckelberg field. The whole procedure results into a local action which turns out to be renormalizable to all orders.

[ { "created": "Tue, 23 Aug 2016 11:27:41 GMT", "version": "v1" } ]

2016-08-24

[ [ "Capri", "M. A. L.", "" ], [ "Fiorentini", "D.", "" ], [ "Guimaraes", "M. S.", "" ], [ "Mintz", "B. W.", "" ], [ "Palhares", "L. F.", "" ], [ "Sorella", "S. P.", "" ] ]

We review our recent work on the gauge-invariant non-local dimension-two operator $A^2_{\rm min}$, whose minimization is defined along the gauge orbit. Albeit non-local, the operator $A^2_{\rm min}$ can be cast in local form through the introduction of an auxiliary Stueckelberg field. The whole procedure results into a local action which turns out to be renormalizable to all orders.

8.574141

7.494767

7.933199

7.513287

7.124206

7.646707

7.234031

7.968008

6.831494

8.465734

7.186894

7.695404

8.117311

7.440148

7.701197

7.421252

7.243439

7.496166

7.567313

8.15233

7.356482

hep-th/9706082

null

Kentaro Hori, Hirosi Ooguri and Yaron Oz (UC Berkeley/LBNL)

Strong Coupling Dynamics of Four-Dimensional N=1 Gauge Theories from M Theory Fivebrane

53 pages, 19 figures, Latex. ATMP VERSION

Adv.Theor.Math.Phys.1:1-52,1998

null

LBNL-40336, UCB-PTH-97/24

hep-th

null

It has been known that the fivebrane of type IIA theory can be used to give an exact low energy description of N=2 supersymmetric gauge theories in four dimensions. We follow the recent M theory description by Witten and show that it can be used to study theories with N=1 supersymmetry. The N=2 supersymmetry can be broken to N=1 by turning on a mass for the adjoint chiral superfield in the N=2 vector multiplet. We construct the configuration of the fivebrane for both finite and infinite values of the adjoint mass. The fivebrane describes strong coupling dynamics of N=1 theory with SU(N_c) gauge group and N_f quarks. For N_c > N_f, we show how the brane configuration encodes the information of the Affleck-Dine-Seiberg superpotential. For N_c = and < N_f, we study the deformation space of the brane configuration and compare it with the moduli space of the N=1 theory. We find agreement with field theory results, including the quantum deformation of the moduli space at N_c = N_f. We also prove the type II s-rule in M theory and find new non-renormalization theorems for N=1 superpotentials.

[ { "created": "Wed, 11 Jun 1997 21:02:20 GMT", "version": "v1" }, { "created": "Tue, 1 Jul 1997 20:30:28 GMT", "version": "v2" }, { "created": "Fri, 2 May 1997 06:20:48 GMT", "version": "v3" } ]

2009-09-25

[ [ "Hori", "Kentaro", "", "UC Berkeley/LBNL" ], [ "Ooguri", "Hirosi", "", "UC Berkeley/LBNL" ], [ "Oz", "Yaron", "", "UC Berkeley/LBNL" ] ]

It has been known that the fivebrane of type IIA theory can be used to give an exact low energy description of N=2 supersymmetric gauge theories in four dimensions. We follow the recent M theory description by Witten and show that it can be used to study theories with N=1 supersymmetry. The N=2 supersymmetry can be broken to N=1 by turning on a mass for the adjoint chiral superfield in the N=2 vector multiplet. We construct the configuration of the fivebrane for both finite and infinite values of the adjoint mass. The fivebrane describes strong coupling dynamics of N=1 theory with SU(N_c) gauge group and N_f quarks. For N_c > N_f, we show how the brane configuration encodes the information of the Affleck-Dine-Seiberg superpotential. For N_c = and < N_f, we study the deformation space of the brane configuration and compare it with the moduli space of the N=1 theory. We find agreement with field theory results, including the quantum deformation of the moduli space at N_c = N_f. We also prove the type II s-rule in M theory and find new non-renormalization theorems for N=1 superpotentials.

4.929821

4.608585

5.361248

4.533741

4.567073

4.728295

4.485139

4.639617

4.615198

5.880574

4.691828

4.667254

4.959551

4.645847

4.557728

4.647164

4.745116

4.669891

4.618011

4.981581

4.726302

1903.08668

David Kubiznak

Robie A. Hennigar, David Kubiznak, Robert B. Mann

Thermodynamics of Lorentzian Taub-NUT spacetimes

5 pages, no figures

Phys. Rev. D 100, 064055 (2019)

10.1103/PhysRevD.100.064055

null

hep-th gr-qc

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

The thermodynamics of the Taub-NUT solution has been predominantly studied in the Euclidean sector, upon imposing the condition for the absence of Misner strings. Such thermodynamics is quite exceptional: the periodicity of the Euclidean time is restricted and thence the NUT charge cannot be independently varied, the entropy is not equal to a quarter of the area, and the thermodynamic volume can be negative. In this paper we revisit this paradigm and study the thermodynamics of the Lorentzian Taub-NUT solution, maintaining (as recently shown relatively harmless) Misner strings. We argue that in order to formulate a full cohomogeneity first law where the NUT parameter can be independently varied, it is natural to introduce a new charge together with its conjugate quantity. We consider two scenarios: one in which the entropy is given by the Lorentzian version of the Noether charge, the other in which the entropy is given by the standard Bekenstein--Hawking area law. In both cases consistent thermodynamics with positive thermodynamic volume can be formulated.

[ { "created": "Wed, 20 Mar 2019 18:00:39 GMT", "version": "v1" }, { "created": "Tue, 9 Apr 2019 15:55:33 GMT", "version": "v2" } ]

2019-10-02

[ [ "Hennigar", "Robie A.", "" ], [ "Kubiznak", "David", "" ], [ "Mann", "Robert B.", "" ] ]

The thermodynamics of the Taub-NUT solution has been predominantly studied in the Euclidean sector, upon imposing the condition for the absence of Misner strings. Such thermodynamics is quite exceptional: the periodicity of the Euclidean time is restricted and thence the NUT charge cannot be independently varied, the entropy is not equal to a quarter of the area, and the thermodynamic volume can be negative. In this paper we revisit this paradigm and study the thermodynamics of the Lorentzian Taub-NUT solution, maintaining (as recently shown relatively harmless) Misner strings. We argue that in order to formulate a full cohomogeneity first law where the NUT parameter can be independently varied, it is natural to introduce a new charge together with its conjugate quantity. We consider two scenarios: one in which the entropy is given by the Lorentzian version of the Noether charge, the other in which the entropy is given by the standard Bekenstein--Hawking area law. In both cases consistent thermodynamics with positive thermodynamic volume can be formulated.

8.74012

7.976844

8.457291

7.914602

8.649662

8.136819

8.628631

7.965012

7.849858

9.148174

7.672165

8.07436

8.380156

8.352095

8.133838

7.884213

8.183524

8.016015

8.255411

8.452053

8.153938

0709.4276

Ismail Turan

Mariana Frank, Ismail Turan (Concordia University, Montreal) and Ismet Yurdusen (CRM, Montreal)

The Integrability of Pauli System in Lorentz Violating Background

19 pages

JHEP 0801:039,2008

10.1088/1126-6708/2008/01/039

CUMQ/HEP 146

hep-th hep-ph

null

We systematically analyze the integrability of a Pauli system in Lorentz violating background at the non-relativistic level both in two- and three-dimensions. We consider the non-relativistic limit of the Dirac equation from the QED sector of the so-called Standard Model Extension by keeping only two types of background couplings, the vector a_mu and the axial vector b_mu. We show that the spin-orbit interaction comes as a higher order correction in the non-relativistic limit of the Dirac equation. Such an interaction allows the inclusion of spin degree non-trivially, and if Lorentz violating terms are allowed, they might be comparable under special circumstances. By including all possible first-order derivative terms and considering the cases a\ne 0, b\ne 0, and b_0\ne 0 one at a time, we determine the possible forms of constants of motion operator, and discuss the existence or continuity of integrability due to Lorentz violating background.

[ { "created": "Thu, 27 Sep 2007 19:32:20 GMT", "version": "v1" } ]

2014-11-18

[ [ "Frank", "Mariana", "", "Concordia University, Montreal" ], [ "Turan", "Ismail", "", "Concordia University, Montreal" ], [ "Yurdusen", "Ismet", "", "CRM, Montreal" ] ]

We systematically analyze the integrability of a Pauli system in Lorentz violating background at the non-relativistic level both in two- and three-dimensions. We consider the non-relativistic limit of the Dirac equation from the QED sector of the so-called Standard Model Extension by keeping only two types of background couplings, the vector a_mu and the axial vector b_mu. We show that the spin-orbit interaction comes as a higher order correction in the non-relativistic limit of the Dirac equation. Such an interaction allows the inclusion of spin degree non-trivially, and if Lorentz violating terms are allowed, they might be comparable under special circumstances. By including all possible first-order derivative terms and considering the cases a\ne 0, b\ne 0, and b_0\ne 0 one at a time, we determine the possible forms of constants of motion operator, and discuss the existence or continuity of integrability due to Lorentz violating background.

9.931844

9.972519

10.095793

9.719759

10.032495

9.818657

9.932969

9.257499

9.855422

10.944573

9.670826

9.572179

9.751113

9.715951

9.636854

9.57631

9.437099

9.675894

9.7039

9.603432

9.420835

hep-th/0207189

Marco Bruni

Marco Bruni and Peter K.S. Dunsby

Singularities on the brane aren't isotropic

5 pages, REVTEX

Phys.Rev. D66 (2002) 101301

10.1103/PhysRevD.66.101301

null

hep-th astro-ph gr-qc

null

Recent studies of homogeneous anisotropic universe models in the brane world scenario show that the cosmological singularity in this context is isotropic. It has therefore been suggested that this may be a generic feature of singularities on the brane, even in the inhomogeneous case. Using a perturbative approach, we show that this is not the case. As in the GR case, the presence of decaying modes in the perturbations signal the instability (in the past) of the isotropic singularity. The brane universe is therefore not born with isotropy built in: as in standard cosmology, the observed large-scale isotropy and homogeneity remains to be explained.

[ { "created": "Sat, 20 Jul 2002 23:08:13 GMT", "version": "v1" } ]

2009-11-07

[ [ "Bruni", "Marco", "" ], [ "Dunsby", "Peter K. S.", "" ] ]

Recent studies of homogeneous anisotropic universe models in the brane world scenario show that the cosmological singularity in this context is isotropic. It has therefore been suggested that this may be a generic feature of singularities on the brane, even in the inhomogeneous case. Using a perturbative approach, we show that this is not the case. As in the GR case, the presence of decaying modes in the perturbations signal the instability (in the past) of the isotropic singularity. The brane universe is therefore not born with isotropy built in: as in standard cosmology, the observed large-scale isotropy and homogeneity remains to be explained.

7.505805

7.136099

6.305907

6.314572

6.452036

7.140941

7.150123

6.189743

6.416286

6.881687

6.672707

6.900382

6.872594

6.515361

6.731382

6.742282

7.184011

6.577171

6.8842

7.049646

7.074242

hep-th/0510262

Lionel J. Mason

L.J.Mason & D.Skinner

An ambitwistor Yang-Mills Lagrangian

13 pages

Phys.Lett.B636:60-67,2006

10.1016/j.physletb.2006.02.061

null

hep-th

null

We introduce a Chern-Simons Lagrangian for Yang-Mills theory as formulated on ambitwistor space via the Ward, Isenberg, Yasskin, Green, Witten construction. The Lagrangian requires the selection of a codimension-2 Cauchy-Riemann submanifold which is naturally picked out by the choice of space-time reality structure and we focus on the choice of Euclidean signature. The action is shown to give rise to a space-time action that is equivalent to the standard one, but has just cubic vertices. We identify the ambitwistor propagators and vertices and work out their corresponding expressions on space-time and momentum space. It is proposed that this formulation of Yang-Mills theory underlies the recursion relations of Britto, Cachazo, Feng and Witten and provides the generating principle for twistor diagrams for gauge theory.

[ { "created": "Mon, 31 Oct 2005 09:51:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "Mason", "L. J.", "" ], [ "Skinner", "D.", "" ] ]

We introduce a Chern-Simons Lagrangian for Yang-Mills theory as formulated on ambitwistor space via the Ward, Isenberg, Yasskin, Green, Witten construction. The Lagrangian requires the selection of a codimension-2 Cauchy-Riemann submanifold which is naturally picked out by the choice of space-time reality structure and we focus on the choice of Euclidean signature. The action is shown to give rise to a space-time action that is equivalent to the standard one, but has just cubic vertices. We identify the ambitwistor propagators and vertices and work out their corresponding expressions on space-time and momentum space. It is proposed that this formulation of Yang-Mills theory underlies the recursion relations of Britto, Cachazo, Feng and Witten and provides the generating principle for twistor diagrams for gauge theory.

6.786644

8.872592

10.451724

8.391048

8.830343

8.564518

9.463859

9.099466

9.575958

10.899906

8.497209

7.504097

8.167756

7.411989

7.440148

7.866232

7.259813

7.678599

7.610529

8.089262

7.670395

1712.09974

Toshiaki Fujimori

Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi

Massive Nambu-Goldstone Fermions and Bosons for Non-relativistic Superconformal Symmetry: Jackiw-Pi Vortices in a Trap

24 pages, 5 figures, references added

Prog Theor Exp Phys (2020)

10.1093/ptep/ptaa052

null

hep-th

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

We discuss a supersymmetric extension of a non-relativistic Chern-Simons matter theory, known as the SUSY Jackiw-Pi model, in a harmonic trap. We show that the non-relativistic version of the superconformal symmetry, called the super-Schr\"odinger symmetry, is not spoiled by an external field including the harmonic potential. It survives as a modified symmetry whose generators have explicit time dependences determined by the strength of the trap, the rotation velocity of the system and the fermion number chemical potential. We construct 1/3 BPS states of trapped Jackiw-Pi vortices preserving a part of the modified superconformal symmetry and discuss fluctuations around static BPS configurations. In addition to the bosonic massive Nambu-Goldstone modes, we find that there exist massive Nambu-Goldstone fermions associated with broken modified super-Schr\"odinger symmetry generators. Furthermore, we find that eigenmodes form supermultiplets of a modified supersymmetry preserved by the static BPS backgrounds. As a consequence of the modified supersymmetry, infinite towers of explicit spectra can be found for eigenmodes correspond- ing to bosonic and fermionic lowest Landau levels.

[ { "created": "Thu, 28 Dec 2017 18:35:15 GMT", "version": "v1" }, { "created": "Thu, 8 Mar 2018 02:00:36 GMT", "version": "v2" } ]

2020-05-20

[ [ "Fujimori", "Toshiaki", "" ], [ "Nitta", "Muneto", "" ], [ "Ohashi", "Keisuke", "" ] ]

We discuss a supersymmetric extension of a non-relativistic Chern-Simons matter theory, known as the SUSY Jackiw-Pi model, in a harmonic trap. We show that the non-relativistic version of the superconformal symmetry, called the super-Schr\"odinger symmetry, is not spoiled by an external field including the harmonic potential. It survives as a modified symmetry whose generators have explicit time dependences determined by the strength of the trap, the rotation velocity of the system and the fermion number chemical potential. We construct 1/3 BPS states of trapped Jackiw-Pi vortices preserving a part of the modified superconformal symmetry and discuss fluctuations around static BPS configurations. In addition to the bosonic massive Nambu-Goldstone modes, we find that there exist massive Nambu-Goldstone fermions associated with broken modified super-Schr\"odinger symmetry generators. Furthermore, we find that eigenmodes form supermultiplets of a modified supersymmetry preserved by the static BPS backgrounds. As a consequence of the modified supersymmetry, infinite towers of explicit spectra can be found for eigenmodes correspond- ing to bosonic and fermionic lowest Landau levels.

7.928341

8.63975

8.827091

7.477994

7.51748

8.485863

7.865176

8.154272

7.775741

9.69063

7.628577

7.872892

8.285316

7.49539

7.793969

7.903393

7.939326

7.950862

7.691423

8.119465

7.787165