id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1804.00834 | Seiji Sakoda | Seiji Sakoda | Path integrals of a particle in a finite interval and on the half-line | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We make use of point transformations to introduce new canonical variables for
systems defined on a finite interval and on the half-line so that new position
variables should take all real values from $-\infty$ to $\infty$. The
completeness of eigenvectors of new momentum operators enables us to formulate
time sliced path integrals for such systems. Short time kernels thus obtained
require extension of the range of variables to the covering space in order to
take all reflected paths into account. Upon this extension we determine phase
factors attached to the amplitude for paths reflected at boundaries by taking
singularities of the potential into account. It will be shown that the phase
factor depends on parameters that characterize the potential; and further that
the well-know minus sign in the amplitude for odd times reflection of a
particle in a box should be understood as the special case for the
corresponding value of the parameter of the potential.
| [
{
"created": "Tue, 3 Apr 2018 06:00:48 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Sep 2018 05:36:58 GMT",
"version": "v2"
}
] | 2018-09-05 | [
[
"Sakoda",
"Seiji",
""
]
] | We make use of point transformations to introduce new canonical variables for systems defined on a finite interval and on the half-line so that new position variables should take all real values from $-\infty$ to $\infty$. The completeness of eigenvectors of new momentum operators enables us to formulate time sliced path integrals for such systems. Short time kernels thus obtained require extension of the range of variables to the covering space in order to take all reflected paths into account. Upon this extension we determine phase factors attached to the amplitude for paths reflected at boundaries by taking singularities of the potential into account. It will be shown that the phase factor depends on parameters that characterize the potential; and further that the well-know minus sign in the amplitude for odd times reflection of a particle in a box should be understood as the special case for the corresponding value of the parameter of the potential. |
1908.00042 | Urs Schreiber | Domenico Fiorenza, Hisham Sati, Urs Schreiber | Super-exceptional geometry: origin of heterotic M-theory and
super-exceptional embedding construction of M5 | 46 pages, v2: some comments and references added | J. High Energ. Phys. 2020, 107 (2020) | 10.1007/JHEP02(2020)107 | null | hep-th math-ph math.AT math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the quest for the mathematical formulation of M-theory, we consider three
major open problems: a first-principles construction of the single (abelian)
M5-brane Lagrangian density, the origin of the gauge field in heterotic
M-theory, and the supersymmetric enhancement of exceptional M-geometry. By
combining techniques from homotopy theory and from supergeometry to what we
call super-exceptional geometry within super-homotopy theory, we present an
elegant joint solution to all three problems. This leads to a unified
description of the Nambu-Goto, Perry-Schwarz, and topological Yang-Mills
Lagrangians in the topologically nontrivial setting. After explaining how
charge quantization of the C-field in Cohomotopy reveals D'Auria-Fre's "hidden
supergroup" of 11d supergravity as the super-exceptional target space, in the
sense of Bandos, for M5-brane sigma-models, we prove, in exceptional
generalization of the doubly-supersymmetric super-embedding formalism, that a
Perry-Schwarz-type Lagrangian for single (abelian) M5-branes emerges as the
super-exceptional trivialization of the M5-brane cocycle along the
super-exceptional embedding of the "half" M5-brane locus, super-exceptionally
compactified on the Horava-Witten circle fiber. From inspection of the
resulting 5d super Yang-Mills Lagrangian we find that the extra fermion field
appearing in super-exceptional M-geometry, whose physical interpretation had
remained open, is the M-theoretic avatar of the gaugino field.
| [
{
"created": "Wed, 31 Jul 2019 18:31:39 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Sep 2019 14:14:10 GMT",
"version": "v2"
}
] | 2020-02-25 | [
[
"Fiorenza",
"Domenico",
""
],
[
"Sati",
"Hisham",
""
],
[
"Schreiber",
"Urs",
""
]
] | In the quest for the mathematical formulation of M-theory, we consider three major open problems: a first-principles construction of the single (abelian) M5-brane Lagrangian density, the origin of the gauge field in heterotic M-theory, and the supersymmetric enhancement of exceptional M-geometry. By combining techniques from homotopy theory and from supergeometry to what we call super-exceptional geometry within super-homotopy theory, we present an elegant joint solution to all three problems. This leads to a unified description of the Nambu-Goto, Perry-Schwarz, and topological Yang-Mills Lagrangians in the topologically nontrivial setting. After explaining how charge quantization of the C-field in Cohomotopy reveals D'Auria-Fre's "hidden supergroup" of 11d supergravity as the super-exceptional target space, in the sense of Bandos, for M5-brane sigma-models, we prove, in exceptional generalization of the doubly-supersymmetric super-embedding formalism, that a Perry-Schwarz-type Lagrangian for single (abelian) M5-branes emerges as the super-exceptional trivialization of the M5-brane cocycle along the super-exceptional embedding of the "half" M5-brane locus, super-exceptionally compactified on the Horava-Witten circle fiber. From inspection of the resulting 5d super Yang-Mills Lagrangian we find that the extra fermion field appearing in super-exceptional M-geometry, whose physical interpretation had remained open, is the M-theoretic avatar of the gaugino field. |
hep-th/9506196 | Steve Giddings | Steven B. Giddings and John M. Pierre | Some exact results in supersymmetric theories based on exceptional
groups | 27 pages (harvmac l mode) | Phys. Rev. D 52, 6065 (1995) | 10.1103/PhysRevD.52.6065 | UCSBTH-95-14 | hep-th hep-ph | null | We begin an investigation of supersymmetric theories based on exceptional
groups. The flat directions are most easily parameterized using their
correspondence with gauge invariant polynomials. Symmetries and holomorphy
tightly constrain the superpotentials, but due to multiple gauge invariants
other techniques are needed for their full determination. We give an explicit
treatment of $G_2$ and find gaugino condensation for $N_f\leq 2$, and an
instanton generated superpotential for $N_f=3$. The analogy with $SU(N_c)$
gauge theories continues with modified and unmodified quantum moduli spaces for
$N_f=4$ and $N_f=5$ respectively, and a non-Abelian Coulomb phase for
$N_f\geq6$. Electric variables suffice to describe this phase over the full
range of $N_f$. The appendix gives a self-contained introduction to $G_2$ and
its invariant tensors.
| [
{
"created": "Fri, 30 Jun 1995 00:26:59 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Giddings",
"Steven B.",
""
],
[
"Pierre",
"John M.",
""
]
] | We begin an investigation of supersymmetric theories based on exceptional groups. The flat directions are most easily parameterized using their correspondence with gauge invariant polynomials. Symmetries and holomorphy tightly constrain the superpotentials, but due to multiple gauge invariants other techniques are needed for their full determination. We give an explicit treatment of $G_2$ and find gaugino condensation for $N_f\leq 2$, and an instanton generated superpotential for $N_f=3$. The analogy with $SU(N_c)$ gauge theories continues with modified and unmodified quantum moduli spaces for $N_f=4$ and $N_f=5$ respectively, and a non-Abelian Coulomb phase for $N_f\geq6$. Electric variables suffice to describe this phase over the full range of $N_f$. The appendix gives a self-contained introduction to $G_2$ and its invariant tensors. |
2307.08094 | Christoph Chiaffrino | Christoph Chiaffrino, Talha Ersoy and Olaf Hohm | Holography as Homotopy | 50 pages, 1 figure. v2: references added, typo corrected | null | null | HU-EP-23/22 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We give an interpretation of holography in the form of the AdS/CFT
correspondence in terms of homotopy algebras. A field theory such as a bulk
gravity theory can be viewed as a homotopy Lie or $L_{\infty}$ algebra. We
extend this dictionary to theories defined on manifolds with a boundary,
including the conformal boundary of AdS, taking into account the cyclic
structure needed to define an action with the correct boundary terms.
Projecting fields to their boundary values then defines a homotopy retract,
which in turn implies that the cyclic $L_{\infty}$ algebra of the bulk theory
is equivalent, up to homotopy, to a cyclic $L_{\infty}$ algebra on the
boundary. The resulting action is the `on-shell action' conventionally computed
via Witten diagrams that, according to AdS/CFT, yields the generating
functional for the correlation functions of the dual CFT. These results are
established with the help of new techniques regarding the homotopy transfer of
cyclic $L_{\infty}$ algebras.
| [
{
"created": "Sun, 16 Jul 2023 16:30:03 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2023 17:10:35 GMT",
"version": "v2"
}
] | 2023-09-08 | [
[
"Chiaffrino",
"Christoph",
""
],
[
"Ersoy",
"Talha",
""
],
[
"Hohm",
"Olaf",
""
]
] | We give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or $L_{\infty}$ algebra. We extend this dictionary to theories defined on manifolds with a boundary, including the conformal boundary of AdS, taking into account the cyclic structure needed to define an action with the correct boundary terms. Projecting fields to their boundary values then defines a homotopy retract, which in turn implies that the cyclic $L_{\infty}$ algebra of the bulk theory is equivalent, up to homotopy, to a cyclic $L_{\infty}$ algebra on the boundary. The resulting action is the `on-shell action' conventionally computed via Witten diagrams that, according to AdS/CFT, yields the generating functional for the correlation functions of the dual CFT. These results are established with the help of new techniques regarding the homotopy transfer of cyclic $L_{\infty}$ algebras. |
0907.5036 | Carlos Hoyos Badajoz | Carlos Hoyos-Badajoz | Drag and jet quenching of heavy quarks in a strongly coupled N=2* plasma | 30 pages, 5 figures, references added, minor corrections. To be
published in JHEP | JHEP 0909:068,2009 | 10.1088/1126-6708/2009/09/068 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The drag of a heavy quark and the jet quenching parameter are studied in the
strongly coupled N=2* plasma using the AdS/CFT correspondence. Both increase in
units of the spatial string tension as the theory departs from conformal
invariance. The description of heavy quark dynamics using a Langevin equation
is also considered. It is found that the difference between the velocity
dependent factors of the transverse and longitudinal momentum broadening of the
quark admit an interpretation in terms of relativistic effects, so the
distribution is spherical in the quark rest frame. When conformal invariance is
broken there is a broadening of the longitudinal momentum distribution. This
effect may be useful in understanding the jet distribution observed in
experiments.
| [
{
"created": "Wed, 29 Jul 2009 01:37:23 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2009 19:41:02 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Sep 2009 19:14:51 GMT",
"version": "v3"
}
] | 2009-10-16 | [
[
"Hoyos-Badajoz",
"Carlos",
""
]
] | The drag of a heavy quark and the jet quenching parameter are studied in the strongly coupled N=2* plasma using the AdS/CFT correspondence. Both increase in units of the spatial string tension as the theory departs from conformal invariance. The description of heavy quark dynamics using a Langevin equation is also considered. It is found that the difference between the velocity dependent factors of the transverse and longitudinal momentum broadening of the quark admit an interpretation in terms of relativistic effects, so the distribution is spherical in the quark rest frame. When conformal invariance is broken there is a broadening of the longitudinal momentum distribution. This effect may be useful in understanding the jet distribution observed in experiments. |
hep-th/0309050 | Hyun Min Lee | Hyun Min Lee (Bonn University) | A comment on the self-tuning of cosmological constant with deficit angle
on a sphere | 8 pages, no figure, flux quantization in $S^2/Z_2$ case discussed | Phys.Lett. B587 (2004) 117-120 | 10.1016/j.physletb.2004.03.008 | null | hep-th | null | In the 6D brane world model with a 4-form flux on a sphere $S^2$ for
self-tuning the cosmological constant, we comment on the fine-tuning problem in
view of the quantization of the dual 2-form flux and the orbifolding case
$S^2/Z_2$.
| [
{
"created": "Thu, 4 Sep 2003 14:14:04 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2003 15:34:49 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Lee",
"Hyun Min",
"",
"Bonn University"
]
] | In the 6D brane world model with a 4-form flux on a sphere $S^2$ for self-tuning the cosmological constant, we comment on the fine-tuning problem in view of the quantization of the dual 2-form flux and the orbifolding case $S^2/Z_2$. |
hep-th/0405177 | Subir Ghosh | Subir Ghosh | Wavepackets and Duality in Noncommutative Planar Quantum Mechanics | Latex, The first part on wave packets is expanded and rewritten,
Results and conclusions are unchanged | null | null | null | hep-th quant-ph | null | Effects of noncommutativity are investigated in planar quantum mechanics in
the coordinate representation. Generally these issues are addressed by
converting to the momentum space. In the first part of the work we show
noncommutative effects in a Gaussian wavepacket through the broadening of its
width. We also rederive results on *-product of Gaussian wavepackets. In the
second part, we construct a "Master" model for a noncommutative harmonic
oscillator by embedding it in an extended space. Different gauge choices
leading to different forms of noncommutativity, (such as between coordinates
only, between momenta only or noncommutativity of a more general kind), can be
studied in a unified and systematic manner. Thus the dual nature of these
theories are also revealed.
| [
{
"created": "Thu, 20 May 2004 11:31:18 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jul 2004 10:01:38 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ghosh",
"Subir",
""
]
] | Effects of noncommutativity are investigated in planar quantum mechanics in the coordinate representation. Generally these issues are addressed by converting to the momentum space. In the first part of the work we show noncommutative effects in a Gaussian wavepacket through the broadening of its width. We also rederive results on *-product of Gaussian wavepackets. In the second part, we construct a "Master" model for a noncommutative harmonic oscillator by embedding it in an extended space. Different gauge choices leading to different forms of noncommutativity, (such as between coordinates only, between momenta only or noncommutativity of a more general kind), can be studied in a unified and systematic manner. Thus the dual nature of these theories are also revealed. |
2404.11694 | Azadeh Mohammadi | Dionisio Bazeia, Jo\~ao G. F. Campos and Azadeh Mohammadi | Abelian Chern-Simons vortices in the presence of magnetic impurities | null | null | null | null | hep-th nlin.PS | http://creativecommons.org/licenses/by/4.0/ | This work deals with Abelian Chern-Simons vortices interacting with magnetic
impurities. We compute static solutions with winding numbers zero and one.
Then, we develop a numerical algorithm to simulate their collisions. Collisions
between a vortex with winding number two and a magnetic impurity are also
performed. All scattering results are interpreted in terms of the moduli space
approximation and compared with the Abelian Maxwell-Higgs model.
| [
{
"created": "Wed, 17 Apr 2024 18:48:02 GMT",
"version": "v1"
}
] | 2024-04-19 | [
[
"Bazeia",
"Dionisio",
""
],
[
"Campos",
"João G. F.",
""
],
[
"Mohammadi",
"Azadeh",
""
]
] | This work deals with Abelian Chern-Simons vortices interacting with magnetic impurities. We compute static solutions with winding numbers zero and one. Then, we develop a numerical algorithm to simulate their collisions. Collisions between a vortex with winding number two and a magnetic impurity are also performed. All scattering results are interpreted in terms of the moduli space approximation and compared with the Abelian Maxwell-Higgs model. |
1003.4430 | Marco Serone | Roberto Iengo and Marco Serone | A Simple UV-Completion of QED in 5D | 24 pages, 7 figures; v2: Minor improvements, matches journal version | Phys.Rev.D81:125005,2010 | 10.1103/PhysRevD.81.125005 | SISSA-19/2010/EP | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a Lifshitz-like version of five-dimensional (5D) QED which is UV
- completed and reduces at low energies to ordinary 5D QED. The UV quantum
behaviour of this theory is very smooth. In particular, the gauge coupling
constant is finite at all energy scales and at all orders in perturbation
theory. We study the IR properties of this theory, when compactified on a
circle, and compare the one-loop energy dependence of the coupling in the
Lifshitz theory with that coming from the standard 5D QED effective field
theory. The range of validity of the 5D effective field theory is found to
agree with the more conservative version of Naive Dimensional Analysis.
| [
{
"created": "Tue, 23 Mar 2010 14:30:06 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2010 08:25:19 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Iengo",
"Roberto",
""
],
[
"Serone",
"Marco",
""
]
] | We construct a Lifshitz-like version of five-dimensional (5D) QED which is UV - completed and reduces at low energies to ordinary 5D QED. The UV quantum behaviour of this theory is very smooth. In particular, the gauge coupling constant is finite at all energy scales and at all orders in perturbation theory. We study the IR properties of this theory, when compactified on a circle, and compare the one-loop energy dependence of the coupling in the Lifshitz theory with that coming from the standard 5D QED effective field theory. The range of validity of the 5D effective field theory is found to agree with the more conservative version of Naive Dimensional Analysis. |
hep-th/0202046 | Alvaro de Souza Dutra | A. de Souza Dutra, V. G. C. S. dos Santos and A. M. Stuchi | Method of approximation for potentials in impenetrable boxes: Harmonic
Oscillator and Coulomb potentials | Latex, 13 pages | null | null | null | hep-th | null | In this work we develop an approach to obtain analytical expressions for
potentials in an impenetrable box. It is illustrated through the particular
cases of the harmonic oscillator and the Coulomb potential. In this kind of
system the energy expression respect the correct quantum limits, which is a
very important quality. The similarity of this kind of problem with the quasi
exactly solvable potentials is explored in order to accomplish our goals.
| [
{
"created": "Thu, 7 Feb 2002 18:18:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dutra",
"A. de Souza",
""
],
[
"Santos",
"V. G. C. S. dos",
""
],
[
"Stuchi",
"A. M.",
""
]
] | In this work we develop an approach to obtain analytical expressions for potentials in an impenetrable box. It is illustrated through the particular cases of the harmonic oscillator and the Coulomb potential. In this kind of system the energy expression respect the correct quantum limits, which is a very important quality. The similarity of this kind of problem with the quasi exactly solvable potentials is explored in order to accomplish our goals. |
hep-th/0304033 | Ysmyung | Y. S. Myung (Inje Univ), Jin Young Kim (KNU) | Brane-Bulk Interaction and Holographic Principle | 9 pages, REVTEX | Class.Quant.Grav. 20 (2003) L169 | 10.1088/0264-9381/20/11/104 | INJE-TP-03-04 | hep-th | null | We introduce the brane-bulk interaction to discuss a limitation of the
cosmological Cardy-Verlinde formula which is useful for the holographic
description of brane cosmology. In the presence of the brane-bulk interaction,
we cannot find the entropy representation of the first Friedmann equation (the
cosmological Cardy-Verlinde formula). In the absence of the interaction, the
cosmological Cardy-Verlinde formula is established even for the time-dependent
charged AdS background. Hence, if there exists a dynamic exchange of energy
between the brane and the bulk (that is, if $\tilde T^t~_y \not=0$), we cannot
achieve the cosmological holographic principle on the brane.
| [
{
"created": "Thu, 3 Apr 2003 23:44:37 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Myung",
"Y. S.",
"",
"Inje Univ"
],
[
"Kim",
"Jin Young",
"",
"KNU"
]
] | We introduce the brane-bulk interaction to discuss a limitation of the cosmological Cardy-Verlinde formula which is useful for the holographic description of brane cosmology. In the presence of the brane-bulk interaction, we cannot find the entropy representation of the first Friedmann equation (the cosmological Cardy-Verlinde formula). In the absence of the interaction, the cosmological Cardy-Verlinde formula is established even for the time-dependent charged AdS background. Hence, if there exists a dynamic exchange of energy between the brane and the bulk (that is, if $\tilde T^t~_y \not=0$), we cannot achieve the cosmological holographic principle on the brane. |
hep-th/9906058 | James N. Hormuzdiar | James N. Hormuzdiar, Stephen D. H. Hsu | On Spherically Symmetric Breathers in Scalar Theories | 14 Pages, 6 figures, Latex | null | null | YCTP-P16-99, OITS-675 | hep-th hep-ph nucl-th | null | We develop an algorithm which can be used to exclude the existence of
classical breathers (periodic finite energy solutions) in scalar field
theories, and apply it to several cases of interest. In particular, the
technique is used to show that a pair of potentially periodic solutions of the
3+1 Sine-Gordon Lagrangian, found numerically in earlier work, are not
breathers. These ``pseudo-breather states'' do have a signature in our method,
which we suggest can be used to find similar quasi-bound state configurations
in other theories. We also discuss the results of our algorithm when applied to
the 1+1 Sine-Gordon model (which exhibits a well-known set of breathers), and
$\phi ^4$ theory.
| [
{
"created": "Tue, 8 Jun 1999 21:56:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hormuzdiar",
"James N.",
""
],
[
"Hsu",
"Stephen D. H.",
""
]
] | We develop an algorithm which can be used to exclude the existence of classical breathers (periodic finite energy solutions) in scalar field theories, and apply it to several cases of interest. In particular, the technique is used to show that a pair of potentially periodic solutions of the 3+1 Sine-Gordon Lagrangian, found numerically in earlier work, are not breathers. These ``pseudo-breather states'' do have a signature in our method, which we suggest can be used to find similar quasi-bound state configurations in other theories. We also discuss the results of our algorithm when applied to the 1+1 Sine-Gordon model (which exhibits a well-known set of breathers), and $\phi ^4$ theory. |
0808.0082 | Oliver Rosten | Oliver J. Rosten | Triviality from the Exact Renormalization Group | 14 pages, 6 figures; v2: Important addition - negative anomalous
dimensions now treated; v3: error in treatment of negative anomalous
dimension corrected and some clarifications added; v4: published in JHEP;
very minor changes | JHEP 0907:019,2009 | 10.1088/1126-6708/2009/07/019 | DIAS-STP-08-09 | hep-th cond-mat.other hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the exact renormalization group, it is shown that no physically
acceptable non-trivial fixed points, with positive anomalous dimension, exist
for (i) O(N) scalar field theory in four or more dimensions, (ii) non-compact,
pure Abelian gauge theory in any dimension. It is then shown, for both theories
in any dimension, that otherwise physically acceptable non-trivial fixed points
with negative anomalous dimension are non-unitary. In addition, a very simple
demonstration is given, directly from the exact renormalization group, that
should a critical fixed point exist for either theory in any dimension, then
the n-point correlation functions exhibit the expected behaviour.
| [
{
"created": "Fri, 1 Aug 2008 09:55:13 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Aug 2008 12:26:01 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Mar 2009 10:42:09 GMT",
"version": "v3"
},
{
"created": "Thu, 16 Jul 2009 11:33:33 GMT",
"version": "v4"
}
] | 2009-07-22 | [
[
"Rosten",
"Oliver J.",
""
]
] | Using the exact renormalization group, it is shown that no physically acceptable non-trivial fixed points, with positive anomalous dimension, exist for (i) O(N) scalar field theory in four or more dimensions, (ii) non-compact, pure Abelian gauge theory in any dimension. It is then shown, for both theories in any dimension, that otherwise physically acceptable non-trivial fixed points with negative anomalous dimension are non-unitary. In addition, a very simple demonstration is given, directly from the exact renormalization group, that should a critical fixed point exist for either theory in any dimension, then the n-point correlation functions exhibit the expected behaviour. |
1812.04716 | Po-Shen Hsin | Po-Shen Hsin, Ho Tat Lam, Nathan Seiberg | Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d | 56 pages, 3 figures, 5 tables | SciPost Phys. 6, 039 (2019) | 10.21468/SciPostPhys.6.3.039 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 3d and 4d systems with a one-form global symmetry, explore their
consequences, and analyze their gauging. For simplicity, we focus on
$\mathbb{Z}_N$ one-form symmetries. A 3d topological quantum field theory
(TQFT) $\mathcal{T}$ with such a symmetry has $N$ special lines that generate
it. The braiding of these lines and their spins are characterized by a single
integer $p$ modulo $2N$. Surprisingly, if $\gcd(N,p)=1$ the TQFT factorizes
$\mathcal{T}=\mathcal{T}'\otimes \mathcal{A}^{N,p}$. Here $\mathcal{T}'$ is a
decoupled TQFT, whose lines are neutral under the global symmetry and
$\mathcal{A}^{N,p}$ is a minimal TQFT with the $\mathbb{Z}_N$ one-form symmetry
of label $p$. The parameter $p$ labels the obstruction to gauging the
$\mathbb{Z}_N$ one-form symmetry; i.e.\ it characterizes the 't Hooft anomaly
of the global symmetry. When $p=0$ mod $2N$, the symmetry can be gauged.
Otherwise, it cannot be gauged unless we couple the system to a 4d bulk with
gauge fields extended to the bulk. This understanding allows us to consider
$SU(N)$ and $PSU(N)$ 4d gauge theories. Their dynamics is gapped and it is
associated with confinement and oblique confinement -- probe quarks are
confined. In the $PSU(N)$ theory the low-energy theory can include a discrete
gauge theory. We will study the behavior of the theory with a space-dependent
$\theta$-parameter, which leads to interfaces. Typically, the theory on the
interface is not confining. Furthermore, the liberated probe quarks are anyons
on the interface. The $PSU(N)$ theory is obtained by gauging the $\mathbb{Z}_N$
one-form symmetry of the $SU(N)$ theory. Our understanding of the symmetries in
3d TQFTs allows us to describe the interface in the $PSU(N)$ theory.
| [
{
"created": "Tue, 11 Dec 2018 22:04:10 GMT",
"version": "v1"
}
] | 2019-04-02 | [
[
"Hsin",
"Po-Shen",
""
],
[
"Lam",
"Ho Tat",
""
],
[
"Seiberg",
"Nathan",
""
]
] | We study 3d and 4d systems with a one-form global symmetry, explore their consequences, and analyze their gauging. For simplicity, we focus on $\mathbb{Z}_N$ one-form symmetries. A 3d topological quantum field theory (TQFT) $\mathcal{T}$ with such a symmetry has $N$ special lines that generate it. The braiding of these lines and their spins are characterized by a single integer $p$ modulo $2N$. Surprisingly, if $\gcd(N,p)=1$ the TQFT factorizes $\mathcal{T}=\mathcal{T}'\otimes \mathcal{A}^{N,p}$. Here $\mathcal{T}'$ is a decoupled TQFT, whose lines are neutral under the global symmetry and $\mathcal{A}^{N,p}$ is a minimal TQFT with the $\mathbb{Z}_N$ one-form symmetry of label $p$. The parameter $p$ labels the obstruction to gauging the $\mathbb{Z}_N$ one-form symmetry; i.e.\ it characterizes the 't Hooft anomaly of the global symmetry. When $p=0$ mod $2N$, the symmetry can be gauged. Otherwise, it cannot be gauged unless we couple the system to a 4d bulk with gauge fields extended to the bulk. This understanding allows us to consider $SU(N)$ and $PSU(N)$ 4d gauge theories. Their dynamics is gapped and it is associated with confinement and oblique confinement -- probe quarks are confined. In the $PSU(N)$ theory the low-energy theory can include a discrete gauge theory. We will study the behavior of the theory with a space-dependent $\theta$-parameter, which leads to interfaces. Typically, the theory on the interface is not confining. Furthermore, the liberated probe quarks are anyons on the interface. The $PSU(N)$ theory is obtained by gauging the $\mathbb{Z}_N$ one-form symmetry of the $SU(N)$ theory. Our understanding of the symmetries in 3d TQFTs allows us to describe the interface in the $PSU(N)$ theory. |
hep-th/9810124 | Antoine Balan | Antoine Balan (Ecole Polytechnique) | The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$ | 22 pages, LaTex, no figure | null | null | null | hep-th nlin.SI solv-int | null | We construct quantum deformations of the integrals of motion of the
generalized mKdV equations for $\hat {\SL}_2$. For this, we give the relevant
vertex operator algebra and prove quantum Serre relations for vertex operators,
it allows to construct a $q$-BGG resolution and to deform the classical
integrals of motion in a commutativ family.
| [
{
"created": "Fri, 16 Oct 1998 12:26:39 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Oct 1998 12:14:20 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Balan",
"Antoine",
"",
"Ecole Polytechnique"
]
] | We construct quantum deformations of the integrals of motion of the generalized mKdV equations for $\hat {\SL}_2$. For this, we give the relevant vertex operator algebra and prove quantum Serre relations for vertex operators, it allows to construct a $q$-BGG resolution and to deform the classical integrals of motion in a commutativ family. |
hep-th/9704056 | null | A.D. Jackson, M.K. Sener and J.J.M. Verbaarschot | Universality of Correlation Functions in Random Matrix Models of QCD | 25 pages, 1 figure, Latex | Nucl.Phys. B506 (1997) 612-632 | 10.1016/S0550-3213(97)00557-9 | SUNY NTG-97/11 | hep-th cond-mat | null | We demonstrate the universality of the spectral correlation functions of a
QCD inspired random matrix model that consists of a random part having the
chiral structure of the QCD Dirac operator and a deterministic part which
describes a schematic temperature dependence. We calculate the correlation
functions analytically using the technique of Itzykson-Zuber integrals for
arbitrary complex super-matrices. An alternative exact calculation for
arbitrary matrix size is given for the special case of zero temperature, and we
reproduce the well-known Laguerre kernel. At finite temperature, the
microscopic limit of the correlation functions are calculated in the saddle
point approximation. The main result of this paper is that the microscopic
universality of correlation functions is maintained even though unitary
invariance is broken by the addition of a deterministic matrix to the ensemble.
| [
{
"created": "Mon, 7 Apr 1997 17:30:32 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Jackson",
"A. D.",
""
],
[
"Sener",
"M. K.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] | We demonstrate the universality of the spectral correlation functions of a QCD inspired random matrix model that consists of a random part having the chiral structure of the QCD Dirac operator and a deterministic part which describes a schematic temperature dependence. We calculate the correlation functions analytically using the technique of Itzykson-Zuber integrals for arbitrary complex super-matrices. An alternative exact calculation for arbitrary matrix size is given for the special case of zero temperature, and we reproduce the well-known Laguerre kernel. At finite temperature, the microscopic limit of the correlation functions are calculated in the saddle point approximation. The main result of this paper is that the microscopic universality of correlation functions is maintained even though unitary invariance is broken by the addition of a deterministic matrix to the ensemble. |
0806.3796 | Andrei Starinets | A. Karch, D. T. Son, A. O. Starinets | Zero Sound from Holography | 10 pages | Phys.Rev.Lett. 102 (2009) 051602 | 10.1103/PhysRevLett.102.051602 | INT-PUB 08-24 | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum liquids are characterized by the distinctive properties such as the
low temperature behavior of heat capacity and the spectrum of low-energy
quasiparticle excitations. In particular, at low temperature, Fermi liquids
exhibit the zero sound, predicted by L. D. Landau in 1957 and subsequently
observed in liquid He-3. In this paper, we ask a question whether such a
characteristic behavior is present in theories with holographically dual
description. We consider a class of gauge theories with fundamental matter
fields whose holographic dual in the appropriate limit is given in terms of the
Dirac-Born-Infeld action in AdS_{p+1} space. An example of such a system is the
N=4 SU(N_c) supersymmetric Yang-Mills theory with N_f massless N=2
hypermultiplets at strong coupling, finite baryon number density, and low
temperature. We find that these systems exhibit a zero sound mode despite
having a non-Fermi liquid type behavior of the specific heat. These properties
suggest that holography identifies a new type of quantum liquids.
| [
{
"created": "Tue, 24 Jun 2008 01:17:01 GMT",
"version": "v1"
}
] | 2009-02-07 | [
[
"Karch",
"A.",
""
],
[
"Son",
"D. T.",
""
],
[
"Starinets",
"A. O.",
""
]
] | Quantum liquids are characterized by the distinctive properties such as the low temperature behavior of heat capacity and the spectrum of low-energy quasiparticle excitations. In particular, at low temperature, Fermi liquids exhibit the zero sound, predicted by L. D. Landau in 1957 and subsequently observed in liquid He-3. In this paper, we ask a question whether such a characteristic behavior is present in theories with holographically dual description. We consider a class of gauge theories with fundamental matter fields whose holographic dual in the appropriate limit is given in terms of the Dirac-Born-Infeld action in AdS_{p+1} space. An example of such a system is the N=4 SU(N_c) supersymmetric Yang-Mills theory with N_f massless N=2 hypermultiplets at strong coupling, finite baryon number density, and low temperature. We find that these systems exhibit a zero sound mode despite having a non-Fermi liquid type behavior of the specific heat. These properties suggest that holography identifies a new type of quantum liquids. |
hep-th/9509038 | null | G. V. Grigoryan, R. P. Grigoryan | Pseudoclassical neutrino in the external electromagnetic field | LATEX, 10 pages, no figures | Phys.Atom.Nucl. 60 (1997) 60-63; Yad.Fiz. 60N1 (1997) 68-71 | null | Preprint YERPHI-1442(12)-95 | hep-th | null | The problem of the passage of the neutral massless particle with anomalous
magnetic moment through the external electromagnetic field is considered both
in pseudoclassical and quantum mechanics. The quantum description uses the
hamiltonian in the Foldy--Wouthuysen representation, obtained from the
pseudoclassical hamiltonian of the massive charged particle with anomalous
magnetic moment in interaction with the external electromagnetic field using
Weyl quantization scheme.
| [
{
"created": "Fri, 8 Sep 1995 10:00:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grigoryan",
"G. V.",
""
],
[
"Grigoryan",
"R. P.",
""
]
] | The problem of the passage of the neutral massless particle with anomalous magnetic moment through the external electromagnetic field is considered both in pseudoclassical and quantum mechanics. The quantum description uses the hamiltonian in the Foldy--Wouthuysen representation, obtained from the pseudoclassical hamiltonian of the massive charged particle with anomalous magnetic moment in interaction with the external electromagnetic field using Weyl quantization scheme. |
hep-th/0309114 | Toni Mateos | David Mateos, Toni Mateos, Paul K. Townsend | Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and
Nearly-BPS Operators | 12 pages, no figures; v2: new section on CFT operators and new
references added, discussion section and acknowledgements modified, abstract
rephrashed | JHEP 0312 (2003) 017 | 10.1088/1126-6708/2003/12/017 | null | hep-th | null | It is shown that a class of rotating strings in AdS_5 x S^5 with SO(6)
angular momenta (J,J',J') preserve 1/8-supersymmetry for large J,J', in which
limit they are effectively tensionless; when J=0, supersymmetry is enhanced to
1/4. These results imply that recent checks of the AdS/CFT correspondence
actually test a nearly-BPS sector.
| [
{
"created": "Thu, 11 Sep 2003 09:52:08 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 2003 11:43:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Mateos",
"David",
""
],
[
"Mateos",
"Toni",
""
],
[
"Townsend",
"Paul K.",
""
]
] | It is shown that a class of rotating strings in AdS_5 x S^5 with SO(6) angular momenta (J,J',J') preserve 1/8-supersymmetry for large J,J', in which limit they are effectively tensionless; when J=0, supersymmetry is enhanced to 1/4. These results imply that recent checks of the AdS/CFT correspondence actually test a nearly-BPS sector. |
hep-th/9806140 | Gianguido Dall'Agata | Gianguido Dall'Agata, Kurt Lechner and Mario Tonin | D=10, N=IIB Supergravity: Lorentz-invariant actions and duality | 29 pages, Latex, no figures, uses package Latexsym, minor changes, to
appear on JHEP | JHEP 9807:017,1998 | 10.1088/1126-6708/1998/07/017 | DFPD 98/TH/29, DFTT 29/98 | hep-th | null | We present a manifestly Lorentz invariant and supersymmetric component field
action for $D = 10$, type $IIB$ supergravity, using a newly developed method
for the construction of actions with chiral bosons, which implies only a single
scalar non propagating auxiliary field. With the same method we construct also
an action in which the complex two-form gauge potential and its Hodge-dual, a
complex six-form gauge potential, appear in a symmetric way in compatibility
with supersymmetry and Lorentz invariance. The duals of the two physical
scalars of the theory turn out to be described by a $SL(2,R)$ triplet of
eight-forms whose curvatures are constrained by a single linear relation.
We present also a supersymmetric action in which the basic fields and their
duals, six-form and eight-form potentials, appear in a symmetric way. All these
actions are manifestly invariant under the global $SL(2,R)$-duality group of $D
= 10$, $IIB$ supergravity and are equivalent to each other in that their
dynamics corresponds to the well known equations of motion of $ D=10$, $IIB$
supergravity.
| [
{
"created": "Wed, 17 Jun 1998 17:36:21 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 1998 21:06:39 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Dall'Agata",
"Gianguido",
""
],
[
"Lechner",
"Kurt",
""
],
[
"Tonin",
"Mario",
""
]
] | We present a manifestly Lorentz invariant and supersymmetric component field action for $D = 10$, type $IIB$ supergravity, using a newly developed method for the construction of actions with chiral bosons, which implies only a single scalar non propagating auxiliary field. With the same method we construct also an action in which the complex two-form gauge potential and its Hodge-dual, a complex six-form gauge potential, appear in a symmetric way in compatibility with supersymmetry and Lorentz invariance. The duals of the two physical scalars of the theory turn out to be described by a $SL(2,R)$ triplet of eight-forms whose curvatures are constrained by a single linear relation. We present also a supersymmetric action in which the basic fields and their duals, six-form and eight-form potentials, appear in a symmetric way. All these actions are manifestly invariant under the global $SL(2,R)$-duality group of $D = 10$, $IIB$ supergravity and are equivalent to each other in that their dynamics corresponds to the well known equations of motion of $ D=10$, $IIB$ supergravity. |
1809.02179 | Ivan Vukovi\'c | Ivan Vukovi\'c | Higher spin theory | Master's thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a review of gauge field theories with higher spin, focusing on the
classical theory of massless bosons in flat Minkowski spacetime. A brief
introduction to the concept of spin is provided along with a historical review
of some of the most important problems and accomplishments in higher spin
theory, followed by a review of familiar lower spin theories. Using a
particularly elegant formalism, we examine the free higher spin theory and the
theory coupled to a generic external current. For both of these theories, we
review their constrained and the unconstrained formulation, focusing our
attention on the latter. We also review the existing literature, confirming the
results for the non-local unconstrained formulation and correcting some
calculational errors. We briefly discuss the geometrical motivation behind the
construction of the basic building blocks of the theory and we entertain the
possibility of there being a single equation of motion for all bosonic higher
spin fields. Some explicit calculations obtained using computer-assisted
methods are provided in the appendix, along with the relevant computer code.
| [
{
"created": "Wed, 5 Sep 2018 01:18:31 GMT",
"version": "v1"
}
] | 2018-09-10 | [
[
"Vuković",
"Ivan",
""
]
] | We provide a review of gauge field theories with higher spin, focusing on the classical theory of massless bosons in flat Minkowski spacetime. A brief introduction to the concept of spin is provided along with a historical review of some of the most important problems and accomplishments in higher spin theory, followed by a review of familiar lower spin theories. Using a particularly elegant formalism, we examine the free higher spin theory and the theory coupled to a generic external current. For both of these theories, we review their constrained and the unconstrained formulation, focusing our attention on the latter. We also review the existing literature, confirming the results for the non-local unconstrained formulation and correcting some calculational errors. We briefly discuss the geometrical motivation behind the construction of the basic building blocks of the theory and we entertain the possibility of there being a single equation of motion for all bosonic higher spin fields. Some explicit calculations obtained using computer-assisted methods are provided in the appendix, along with the relevant computer code. |
0804.4705 | Pavel Krtous | Pavel Krtous, Valeri P. Frolov, David Kubiznak | Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of
the Kerr-NUT-(A)dS spacetime | 5 pages, no figures | Phys.Rev.D78:064022,2008 | 10.1103/PhysRevD.78.064022 | Alberta-Thy-07-08 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that the most general solution of the Einstein equations with the
cosmological constant which admits a principal conformal Killing-Yano tensor is
the Kerr-NUT-(A)dS metric. Even when the Einstein equations are not imposed,
any spacetime admitting such hidden symmetry can be written in a canonical form
which guarantees the following properties: it is of the Petrov type D, it
allows the separation of variables for the Hamilton-Jacobi, Klein-Gordon, and
Dirac equations, the geodesic motion in such a spacetime is completely
integrable. These results naturally generalize the results obtained earlier in
four dimensions.
| [
{
"created": "Tue, 29 Apr 2008 22:38:12 GMT",
"version": "v1"
}
] | 2010-05-12 | [
[
"Krtous",
"Pavel",
""
],
[
"Frolov",
"Valeri P.",
""
],
[
"Kubiznak",
"David",
""
]
] | We prove that the most general solution of the Einstein equations with the cosmological constant which admits a principal conformal Killing-Yano tensor is the Kerr-NUT-(A)dS metric. Even when the Einstein equations are not imposed, any spacetime admitting such hidden symmetry can be written in a canonical form which guarantees the following properties: it is of the Petrov type D, it allows the separation of variables for the Hamilton-Jacobi, Klein-Gordon, and Dirac equations, the geodesic motion in such a spacetime is completely integrable. These results naturally generalize the results obtained earlier in four dimensions. |
0803.2099 | Sylvain RIBAULT | Sylvain Ribault (LPTA) | A family of solvable non-rational conformal field theories | 14 pages, v2: role of subsingular vectors clarified | JHEP 0805:073,2008 | 10.1088/1126-6708/2008/05/073 | 08-019 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find non-rational conformal field theories in two dimensions, which are
solvable due to their correlators being related to correlators of Liouville
theory. Their symmetry algebra consists of the dimension-two stress-energy
tensor, and two dimension-one fields. The theories come in a family with two
parameters: the central charge c and a complex number m. The special case m=0
corresponds to Liouville theory (plus two free bosons), and m=1 corresponds to
the H3+ model. In the case m=2 we show that the correlators obey third-order
differential equations, which are associated to a subsingular vector of the
symmetry algebra.
| [
{
"created": "Fri, 14 Mar 2008 08:01:09 GMT",
"version": "v1"
},
{
"created": "Fri, 23 May 2008 07:41:02 GMT",
"version": "v2"
}
] | 2009-12-10 | [
[
"Ribault",
"Sylvain",
"",
"LPTA"
]
] | We find non-rational conformal field theories in two dimensions, which are solvable due to their correlators being related to correlators of Liouville theory. Their symmetry algebra consists of the dimension-two stress-energy tensor, and two dimension-one fields. The theories come in a family with two parameters: the central charge c and a complex number m. The special case m=0 corresponds to Liouville theory (plus two free bosons), and m=1 corresponds to the H3+ model. In the case m=2 we show that the correlators obey third-order differential equations, which are associated to a subsingular vector of the symmetry algebra. |
hep-th/9306113 | null | J. Sladkowski | The St\"uckelberg formalism is a field-enlarging transformation | 16 pages, LaTeX-file | null | null | BI-TP 93/27 | hep-th hep-ph | null | It is shown that the St\"uckelberg formalism can be regarded as a
field-enlarging transformation that introduces an additional gauge symmetry to
the considered model. The appropriate BRST charge can be defined. The physical
state condition, demanding that that a physical state is to be anihilated by
the BRST charge, is shown to be equivalent to the St\"uckelberg condition.
Several applications of the new approach to the formalism are presented. The
comparison with the BFV procedure is given. (The author field has been
corrected.)
| [
{
"created": "Tue, 22 Jun 1993 14:07:16 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 1993 14:08:04 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Sladkowski",
"J.",
""
]
] | It is shown that the St\"uckelberg formalism can be regarded as a field-enlarging transformation that introduces an additional gauge symmetry to the considered model. The appropriate BRST charge can be defined. The physical state condition, demanding that that a physical state is to be anihilated by the BRST charge, is shown to be equivalent to the St\"uckelberg condition. Several applications of the new approach to the formalism are presented. The comparison with the BFV procedure is given. (The author field has been corrected.) |
1404.7418 | Alessandro Pilloni | A. Guerrieri, A. Pilloni | Has the Goldstone theorem been revisited? | 3 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A recent paper (arXiv:1404.5619) claimed the presence of a loophole in the
current-algebra proof of Goldstone Theorem. The enforcing of manifest
covariance would lead to contradictory results also in scalar theory. We show
that the argument proposed is not in contradiction with covariance, thus not
invalidating the theorem. Moreover, the counterexample proposed of a scalar
operator with a non-zero vacuum expectation value in an unbroken theory is
ill-defined.
| [
{
"created": "Tue, 29 Apr 2014 16:17:53 GMT",
"version": "v1"
}
] | 2014-04-30 | [
[
"Guerrieri",
"A.",
""
],
[
"Pilloni",
"A.",
""
]
] | A recent paper (arXiv:1404.5619) claimed the presence of a loophole in the current-algebra proof of Goldstone Theorem. The enforcing of manifest covariance would lead to contradictory results also in scalar theory. We show that the argument proposed is not in contradiction with covariance, thus not invalidating the theorem. Moreover, the counterexample proposed of a scalar operator with a non-zero vacuum expectation value in an unbroken theory is ill-defined. |
hep-th/9704202 | Tim Morris | Tim R. Morris and Michael D. Turner | Derivative expansion of the renormalization group in O(N) scalar field
theory | 29 pages including 4 eps figures, uses LaTeX, epsfig, and latexsym | Nucl.Phys. B509 (1998) 637-661 | 10.1016/S0550-3213(97)00640-8 | null | hep-th cond-mat hep-lat hep-ph | null | We apply a derivative expansion to the Legendre effective action flow
equations of O(N) symmetric scalar field theory, making no other approximation.
We calculate the critical exponents eta, nu, and omega at the both the leading
and second order of the expansion, associated to the three dimensional
Wilson-Fisher fixed points, at various values of N. In addition, we show how
the derivative expansion reproduces exactly known results, at special values
N=infinity,-2,-4, ... .
| [
{
"created": "Tue, 29 Apr 1997 16:52:12 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Morris",
"Tim R.",
""
],
[
"Turner",
"Michael D.",
""
]
] | We apply a derivative expansion to the Legendre effective action flow equations of O(N) symmetric scalar field theory, making no other approximation. We calculate the critical exponents eta, nu, and omega at the both the leading and second order of the expansion, associated to the three dimensional Wilson-Fisher fixed points, at various values of N. In addition, we show how the derivative expansion reproduces exactly known results, at special values N=infinity,-2,-4, ... . |
1612.02021 | Bertrand Sou\`eres | Bertrand Sou\`eres, Dimitrios Tsimpis | The action principle and the supersymmetrisation of Chern-Simons terms
in eleven-dimensional supergravity | 45 pages ; v2: added references | Phys. Rev. D 95, 026013 (2017) | 10.1103/PhysRevD.95.026013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop computational tools for calculating supersymmetric higher-order
derivative corrections to eleven-dimensional supergravity using the action
principle approach. We show that, provided the superspace Bianchi identities
admit a perturbative solution in the derivative expansion, there are at least
two independent superinvariants at the eight-derivative order of
eleven-dimensional supergravity. Assuming the twelve-superforms associated to
certain anomalous Chern-Simons terms are Weil-trivial, there will be a third
independent superinvariant at this order. Under certain conditions, at least
two superinvariants will survive to all orders in the derivative expansion.
However only one of them will be present in the quantum theory: the
supersymmetrization of the Chern-Simons terms of eleven dimensional
supergravity required for the cancellation of the M5-brane gravitational
anomaly by inflow. This superinvariant can be shown to be unique at the
eight-derivative order, assuming it is quartic in the fields. On the other
hand, a necessary condition for the superinvariant to be quartic is the
exactness, in tau-cohomology, of X0,8 -the purely spinorial component of the
eight-superform related by descent to the M5-brane anomaly polynomial. In that
case it can also be shown that the solution of the Weil-triviality condition of
the corresponding twelve-form, which is a prerequisite for the explicit
construction of the superinvariant, is guaranteed to exist. We prove that
certain highly non-trivial necessary conditions for the tau-exactness of X0,8
are satisfied. Moreover any potential superinvariant associated to anomalous
Chern-Simons terms at the eight-derivative order must necessarily contain terms
cubic or lower in the fields.
| [
{
"created": "Tue, 6 Dec 2016 21:10:03 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Dec 2016 07:29:31 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Souères",
"Bertrand",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | We develop computational tools for calculating supersymmetric higher-order derivative corrections to eleven-dimensional supergravity using the action principle approach. We show that, provided the superspace Bianchi identities admit a perturbative solution in the derivative expansion, there are at least two independent superinvariants at the eight-derivative order of eleven-dimensional supergravity. Assuming the twelve-superforms associated to certain anomalous Chern-Simons terms are Weil-trivial, there will be a third independent superinvariant at this order. Under certain conditions, at least two superinvariants will survive to all orders in the derivative expansion. However only one of them will be present in the quantum theory: the supersymmetrization of the Chern-Simons terms of eleven dimensional supergravity required for the cancellation of the M5-brane gravitational anomaly by inflow. This superinvariant can be shown to be unique at the eight-derivative order, assuming it is quartic in the fields. On the other hand, a necessary condition for the superinvariant to be quartic is the exactness, in tau-cohomology, of X0,8 -the purely spinorial component of the eight-superform related by descent to the M5-brane anomaly polynomial. In that case it can also be shown that the solution of the Weil-triviality condition of the corresponding twelve-form, which is a prerequisite for the explicit construction of the superinvariant, is guaranteed to exist. We prove that certain highly non-trivial necessary conditions for the tau-exactness of X0,8 are satisfied. Moreover any potential superinvariant associated to anomalous Chern-Simons terms at the eight-derivative order must necessarily contain terms cubic or lower in the fields. |
1705.10483 | Toshiaki Fujimori | Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta,
Norisuke Sakai | Resurgence Structure to All Orders of Multi-bions in Deformed SUSY
Quantum Mechanics | 61 pages, 8 figures, references added, typos corrected | Prog. Theor. Exp. Phys. (2017) 083B02 | 10.1093/ptep/ptx101 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the resurgence structure in quantum mechanical models
originating in 2d non-linear sigma models with emphasis on nearly
supersymmetric and quasi-exactly solvable parameter regimes. By expanding the
ground state energy in powers of a supersymmetry-breaking deformation parameter
$\delta \epsilon$, we derive exact results for the expansion coefficients. In
the class of models described by real multiplets, the ${\mathcal
O}(\delta\epsilon)$ ground state energy has a non-Borel summable asymptotic
series, which gives rise to imaginary ambiguities leading to rich resurgence
structure. We discuss the sine-Gordon quantum mechanics (QM) as an example and
show that the semiclassical contributions from complex multi-bion solutions
correctly reproduce the corresponding part in the exact result including the
imaginary ambiguities. As a typical model described by chiral multiplets, we
discuss the $\mathbb C P^{N-1}$ QM and show that the exact ${\mathcal O}(\delta
\epsilon)$ ground state energy can be completely reconstructed from the
semiclassical multi-bion contributions. Although the ${\mathcal O}(\delta
\epsilon)$ ground state energy has trivial resurgence structure, a simple but
rich resurgence structure appears at ${\mathcal O}(\delta \epsilon^{2})$. We
show the complete cancellation between the ${\mathcal O}(\delta \epsilon^{2})$
imaginary ambiguities arising from the non-Borel summable perturbation series
and those in the semiclassical contributions of $N-1$ complex bion solutions.
We also discuss the resurgence structure of a squashed ${\mathbb C}P^1$ QM.
| [
{
"created": "Tue, 30 May 2017 07:31:36 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Aug 2017 05:44:31 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Fujimori",
"Toshiaki",
""
],
[
"Kamata",
"Syo",
""
],
[
"Misumi",
"Tatsuhiro",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Sakai",
"Norisuke",
""
]
] | We investigate the resurgence structure in quantum mechanical models originating in 2d non-linear sigma models with emphasis on nearly supersymmetric and quasi-exactly solvable parameter regimes. By expanding the ground state energy in powers of a supersymmetry-breaking deformation parameter $\delta \epsilon$, we derive exact results for the expansion coefficients. In the class of models described by real multiplets, the ${\mathcal O}(\delta\epsilon)$ ground state energy has a non-Borel summable asymptotic series, which gives rise to imaginary ambiguities leading to rich resurgence structure. We discuss the sine-Gordon quantum mechanics (QM) as an example and show that the semiclassical contributions from complex multi-bion solutions correctly reproduce the corresponding part in the exact result including the imaginary ambiguities. As a typical model described by chiral multiplets, we discuss the $\mathbb C P^{N-1}$ QM and show that the exact ${\mathcal O}(\delta \epsilon)$ ground state energy can be completely reconstructed from the semiclassical multi-bion contributions. Although the ${\mathcal O}(\delta \epsilon)$ ground state energy has trivial resurgence structure, a simple but rich resurgence structure appears at ${\mathcal O}(\delta \epsilon^{2})$. We show the complete cancellation between the ${\mathcal O}(\delta \epsilon^{2})$ imaginary ambiguities arising from the non-Borel summable perturbation series and those in the semiclassical contributions of $N-1$ complex bion solutions. We also discuss the resurgence structure of a squashed ${\mathbb C}P^1$ QM. |
1904.12330 | Sota Hanazawa | Sota Hanazawa and Makoto Sakaguchi | Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance
of Pure Spinor Superstring | 27 pages, typos fixed, presentation clarified, version to appear in
PRD | Phys. Rev. D 100, 046006 (2019) | 10.1103/PhysRevD.100.046006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the BRS invariance of the open pure spinor superstring in the
presence of background superfields on a Dp-brane. It is shown that the BRS
invariance leads not only to boundary conditions on the spacetime spinors, but
also to supersymmetric DBI equations of motion for the background superfields
on the Dp-brane. These DBI equations are consistent with the supersymmetric DBI
equations for a D9-brane.
| [
{
"created": "Sun, 28 Apr 2019 14:44:53 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jul 2019 07:10:12 GMT",
"version": "v2"
}
] | 2019-08-14 | [
[
"Hanazawa",
"Sota",
""
],
[
"Sakaguchi",
"Makoto",
""
]
] | We examine the BRS invariance of the open pure spinor superstring in the presence of background superfields on a Dp-brane. It is shown that the BRS invariance leads not only to boundary conditions on the spacetime spinors, but also to supersymmetric DBI equations of motion for the background superfields on the Dp-brane. These DBI equations are consistent with the supersymmetric DBI equations for a D9-brane. |
1809.09076 | Mahdi Godazgar | Hadi Godazgar, Mahdi Godazgar, C.N. Pope | Subleading BMS charges and fake news near null infinity | 34 pages;few minor typos corrected | JHEP01(2019)143 | 10.1007/JHEP01(2019)143 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we establish a relation between the non-linearly conserved
Newman-Penrose charges and certain subleading terms in a large-$r$ expansion of
the BMS charges in an asymptotically-flat spacetime. We define the subleading
BMS charges by considering a $1/r$-expansion of the Barnich-Brandt prescription
for defining asymptotic charges in an asymptotically-flat spacetime. At the
leading order, i.e. $1/r^0$, one obtains the standard BMS charges, which would
be integrable and conserved in the absence of a flux term at null infinity,
corresponding to gravitational radiation, or Bondi news. At subleading orders,
analogous terms in general provide obstructions to the integrability of the
corresponding charges. Since the subleading terms are defined close to null
infinity, but vanish actually at infinity, the analogous obstructions are not
associated with genuine Bondi news. One may instead describe them as
corresponding to "fake news." At order $r^{-3}$, we find that a set of
integrable charges can be defined and that these are related to the ten
non-linearly conserved Newman-Penrose charges.
| [
{
"created": "Mon, 24 Sep 2018 17:43:54 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2019 09:44:15 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Feb 2021 20:26:19 GMT",
"version": "v3"
}
] | 2021-02-24 | [
[
"Godazgar",
"Hadi",
""
],
[
"Godazgar",
"Mahdi",
""
],
[
"Pope",
"C. N.",
""
]
] | In this paper we establish a relation between the non-linearly conserved Newman-Penrose charges and certain subleading terms in a large-$r$ expansion of the BMS charges in an asymptotically-flat spacetime. We define the subleading BMS charges by considering a $1/r$-expansion of the Barnich-Brandt prescription for defining asymptotic charges in an asymptotically-flat spacetime. At the leading order, i.e. $1/r^0$, one obtains the standard BMS charges, which would be integrable and conserved in the absence of a flux term at null infinity, corresponding to gravitational radiation, or Bondi news. At subleading orders, analogous terms in general provide obstructions to the integrability of the corresponding charges. Since the subleading terms are defined close to null infinity, but vanish actually at infinity, the analogous obstructions are not associated with genuine Bondi news. One may instead describe them as corresponding to "fake news." At order $r^{-3}$, we find that a set of integrable charges can be defined and that these are related to the ten non-linearly conserved Newman-Penrose charges. |
2102.09641 | Robert Brandenberger | Robert Brandenberger (McGill University) | Trans-Planckian Censorship Conjecture and Early Universe Cosmology | Invited short review for LHEP Special Issue: Swampland and String
Theory Landscape. 9 pages, 3 figures. References added | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | I review the "Trans-Planckian Censorship Conjecture" (TCC) and its
implications for cosmology, in particular for the inflationary universe
scenario. Whereas the inflationary scenario is tightly constrained by the TCC,
alternative early universe scenarios are not restricted.
| [
{
"created": "Thu, 18 Feb 2021 22:10:40 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Feb 2021 12:15:40 GMT",
"version": "v2"
}
] | 2021-02-26 | [
[
"Brandenberger",
"Robert",
"",
"McGill University"
]
] | I review the "Trans-Planckian Censorship Conjecture" (TCC) and its implications for cosmology, in particular for the inflationary universe scenario. Whereas the inflationary scenario is tightly constrained by the TCC, alternative early universe scenarios are not restricted. |
2403.02165 | Joseph Dominicus Lap | Joseph Dominicus Lap and Berndt M\"uller and Andreas Sch\"afer and
Clemens Seidl | Two Splits, Three Ways: Advances in Double Splitting Quenches | 22 pages, 10 figures | null | null | null | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | In this work we introduce a method for calculating holographic duals of BCFTs
with more than two boundaries. We apply it to calculating the dynamics of
entanglement entropy in a 1+1d CFT that is instantaneously split into multiple
segments and calculate the entanglement entropy as a function of time for the
case of two splits, showing that our approach reproduces earlier results for
the double split case. Our manuscript lays the groundwork for future
calculations of the entanglement entropy for more than two splits and systems
at nonzero temperature.
| [
{
"created": "Mon, 4 Mar 2024 16:12:18 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2024 17:25:01 GMT",
"version": "v2"
}
] | 2024-03-12 | [
[
"Lap",
"Joseph Dominicus",
""
],
[
"Müller",
"Berndt",
""
],
[
"Schäfer",
"Andreas",
""
],
[
"Seidl",
"Clemens",
""
]
] | In this work we introduce a method for calculating holographic duals of BCFTs with more than two boundaries. We apply it to calculating the dynamics of entanglement entropy in a 1+1d CFT that is instantaneously split into multiple segments and calculate the entanglement entropy as a function of time for the case of two splits, showing that our approach reproduces earlier results for the double split case. Our manuscript lays the groundwork for future calculations of the entanglement entropy for more than two splits and systems at nonzero temperature. |
0912.3438 | David D. K. Chow | David D. K. Chow, C. N. Pope and Ergin Sezgin | Kundt spacetimes as solutions of topologically massive gravity | 30 pages. This material has come from splitting v1 of arXiv:0906.3559
into 2 separate papers. v2: minor changes. | Class. Quant. Grav. 27:105002,2010 | 10.1088/0264-9381/27/10/105002 | MIFP-09-49 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain new solutions of topologically massive gravity. We find the general
Kundt solutions, which in three dimensions are spacetimes admitting an
expansion-free null geodesic congruence. The solutions are generically of
algebraic type II, but special cases are types III, N or D. Those of type D are
the known spacelike-squashed AdS_3 solutions, and of type N are the known AdS
pp-waves or new solutions. Those of types II and III are the first known
solutions of these algebraic types. We present explicitly the Kundt solutions
that are CSI spacetimes, for which all scalar polynomial curvature invariants
are constant, whereas for the general case we reduce the field equations to a
series of ordinary differential equations. The CSI solutions of types II and
III are deformations of spacelike-squashed AdS_3 and the round AdS_3,
respectively.
| [
{
"created": "Thu, 17 Dec 2009 15:45:09 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 2010 14:50:19 GMT",
"version": "v2"
}
] | 2010-04-23 | [
[
"Chow",
"David D. K.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Sezgin",
"Ergin",
""
]
] | We obtain new solutions of topologically massive gravity. We find the general Kundt solutions, which in three dimensions are spacetimes admitting an expansion-free null geodesic congruence. The solutions are generically of algebraic type II, but special cases are types III, N or D. Those of type D are the known spacelike-squashed AdS_3 solutions, and of type N are the known AdS pp-waves or new solutions. Those of types II and III are the first known solutions of these algebraic types. We present explicitly the Kundt solutions that are CSI spacetimes, for which all scalar polynomial curvature invariants are constant, whereas for the general case we reduce the field equations to a series of ordinary differential equations. The CSI solutions of types II and III are deformations of spacelike-squashed AdS_3 and the round AdS_3, respectively. |
hep-th/9504040 | Geoffrey Dixon | Geoffrey Dixon | OCTONIONS: INVARIANT REPRESENTATION OF THE LEECH LATTICE | 7 pages, latex, no figures | null | null | BRX TH-374 | hep-th | null | The Leech lattice, $\Lambda_{24}$, is represented on the space of octonionic
3-vectors. It is built from two octonionic representations of $E_{8}$, and is
reached via $\Lambda_{16}$. It is invariant under the octonion index cycling
and doubling maps.
| [
{
"created": "Fri, 7 Apr 1995 16:06:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dixon",
"Geoffrey",
""
]
] | The Leech lattice, $\Lambda_{24}$, is represented on the space of octonionic 3-vectors. It is built from two octonionic representations of $E_{8}$, and is reached via $\Lambda_{16}$. It is invariant under the octonion index cycling and doubling maps. |
1808.09072 | Tadashi Takayanagi | Tadashi Takayanagi | Holographic Spacetimes as Quantum Circuits of Path-Integrations | 39 pages, 13 figures, latex; v2: appendix B added for an explicit
analysis of path-integral quantum circuits, counting scrambling quantum gates
clarified, references included; v3: a reference added | null | 10.1007/JHEP12(2018)048 | YITP-18-93, IPMU18-0139 | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose that holographic spacetimes can be regarded as collections of
quantum circuits based on path-integrals. We relate a codimension one surface
in a gravity dual to a quantum circuit given by a path-integration on that
surface with an appropriate UV cut off. Our proposal naturally generalizes the
conjectured duality between the AdS/CFT and tensor networks. This largely
strengthens the surface/state duality and also provides a holographic
explanation of path-integral optimizations. For static gravity duals, our new
framework provides a derivation of the holographic complexity formula given by
the gravity action on the WDW patch. We also propose a new formula which
relates numbers of quantum gates to surface areas, even including time-like
surfaces, as a generalization of the holographic entanglement entropy formula.
We argue the time component of the metric in AdS emerges from the density of
unitary quantum gates in the dual CFT. Our proposal also provides a heuristic
understanding how the gravitational force emerges from quantum circuits.
| [
{
"created": "Tue, 28 Aug 2018 00:27:40 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Sep 2018 05:49:30 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Nov 2018 08:37:57 GMT",
"version": "v3"
}
] | 2018-12-26 | [
[
"Takayanagi",
"Tadashi",
""
]
] | We propose that holographic spacetimes can be regarded as collections of quantum circuits based on path-integrals. We relate a codimension one surface in a gravity dual to a quantum circuit given by a path-integration on that surface with an appropriate UV cut off. Our proposal naturally generalizes the conjectured duality between the AdS/CFT and tensor networks. This largely strengthens the surface/state duality and also provides a holographic explanation of path-integral optimizations. For static gravity duals, our new framework provides a derivation of the holographic complexity formula given by the gravity action on the WDW patch. We also propose a new formula which relates numbers of quantum gates to surface areas, even including time-like surfaces, as a generalization of the holographic entanglement entropy formula. We argue the time component of the metric in AdS emerges from the density of unitary quantum gates in the dual CFT. Our proposal also provides a heuristic understanding how the gravitational force emerges from quantum circuits. |
hep-th/0405236 | S. Prem Kumar | S. Prem Kumar and Giuseppe Policastro | Strings in Twistor Superspace and Mirror Symmetry | 12 pages, uses harvmac | Phys.Lett.B619:163-170,2005 | 10.1016/j.physletb.2005.05.068 | DAMTP-2004-49; SWAT-397 | hep-th | null | We obtain the super-Landau-Ginzburg mirror of the A-twisted topological sigma
model on a twistor superspace -- the quadric in CP^{3|3} x CP^{3|3} which is a
Calabi-Yau supermanifold. We show that the B-model mirror has a geometric
interpretation. In a particular limit for one of the Kaehler parameters of the
quadric, we show that the mirror can be interpreted as the twistor superspace
CP^{3|4}. This agrees with the recent conjecture of Neitzke and Vafa proposing
a mirror equivalence between the two twistor superspaces.
| [
{
"created": "Wed, 26 May 2004 11:55:48 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Kumar",
"S. Prem",
""
],
[
"Policastro",
"Giuseppe",
""
]
] | We obtain the super-Landau-Ginzburg mirror of the A-twisted topological sigma model on a twistor superspace -- the quadric in CP^{3|3} x CP^{3|3} which is a Calabi-Yau supermanifold. We show that the B-model mirror has a geometric interpretation. In a particular limit for one of the Kaehler parameters of the quadric, we show that the mirror can be interpreted as the twistor superspace CP^{3|4}. This agrees with the recent conjecture of Neitzke and Vafa proposing a mirror equivalence between the two twistor superspaces. |
hep-th/9708106 | Christopher Kohler | C. Kohler | Geometric Classification of Topological Quantum Phases | 10 pages, Latex | null | 10.1016/S0375-9601(97)00828-1 | null | hep-th gr-qc quant-ph | null | On the basis of the principle that topological quantum phases arise from the
scattering around space-time defects in higher dimensional unification, a
geometric model is presented that associates with each quantum phase an element
of a transformation group.
| [
{
"created": "Wed, 20 Aug 1997 08:19:58 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kohler",
"C.",
""
]
] | On the basis of the principle that topological quantum phases arise from the scattering around space-time defects in higher dimensional unification, a geometric model is presented that associates with each quantum phase an element of a transformation group. |
1402.2653 | Sakura Schafer-Nameki | Hirotaka Hayashi, Craig Lawrie, David R. Morrison, Sakura
Schafer-Nameki | Box Graphs and Singular Fibers | 107 pages, 44 figures, v2: added case of E7 monodromy-reduced fibers | null | 10.1007/JHEP05(2014)048 | IFT-UAM/CSIC-14-005, KCL-MTH-14-01, UCSB Math 2014-07 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the higher codimension fibers of elliptically fibered Calabi-Yau
fourfolds with section by studying the three-dimensional N=2 supersymmetric
gauge theory with matter which describes the low energy effective theory of
M-theory compactified on the associated Weierstrass model, a singular model of
the fourfold. Each phase of the Coulomb branch of this theory corresponds to a
particular resolution of the Weierstrass model, and we show that these have a
concise description in terms of decorated box graphs based on the
representation graph of the matter multiplets, or alternatively by a class of
convex paths on said graph. Transitions between phases have a simple
interpretation as `flopping' of the path, and in the geometry correspond to
actual flop transitions. This description of the phases enables us to enumerate
and determine the entire network between them, with various matter
representations for all reductive Lie groups. Furthermore, we observe that each
network of phases carries the structure of a (quasi-)minuscule representation
of a specific Lie algebra. Interpreted from a geometric point of view, this
analysis determines the generators of the cone of effective curves as well as
the network of flop transitions between crepant resolutions of singular
elliptic Calabi-Yau fourfolds. From the box graphs we determine all fiber types
in codimensions two and three, and we find new, non-Kodaira, fiber types for
E_6, E_7 and E_8.
| [
{
"created": "Tue, 11 Feb 2014 21:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Feb 2014 16:48:58 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Lawrie",
"Craig",
""
],
[
"Morrison",
"David R.",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | We determine the higher codimension fibers of elliptically fibered Calabi-Yau fourfolds with section by studying the three-dimensional N=2 supersymmetric gauge theory with matter which describes the low energy effective theory of M-theory compactified on the associated Weierstrass model, a singular model of the fourfold. Each phase of the Coulomb branch of this theory corresponds to a particular resolution of the Weierstrass model, and we show that these have a concise description in terms of decorated box graphs based on the representation graph of the matter multiplets, or alternatively by a class of convex paths on said graph. Transitions between phases have a simple interpretation as `flopping' of the path, and in the geometry correspond to actual flop transitions. This description of the phases enables us to enumerate and determine the entire network between them, with various matter representations for all reductive Lie groups. Furthermore, we observe that each network of phases carries the structure of a (quasi-)minuscule representation of a specific Lie algebra. Interpreted from a geometric point of view, this analysis determines the generators of the cone of effective curves as well as the network of flop transitions between crepant resolutions of singular elliptic Calabi-Yau fourfolds. From the box graphs we determine all fiber types in codimensions two and three, and we find new, non-Kodaira, fiber types for E_6, E_7 and E_8. |
1404.7085 | Jose Barbon | Jose L. F. Barbon and Eliezer Rabinovici | Geometry And Quantum Noise | 30 pages. 4 figures | null | 10.1002/prop.201400044 | IFT-UAM/CSIC-14-034 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the fine structure of long-time quantum noise in correlation
functions of AdS/CFT systems. Under standard assumptions of quantum chaos for
the dynamics and the observables, we estimate the size of exponentially small
oscillations and trace them back to geometrical features of the bulk system.
The noise level is highly suppressed by the amount of dynamical chaos and the
amount of quantum impurity in the states. This implies that, despite their
missing on the details of Poincare recurrences, `virtual' thermal AdS phases do
control the overall noise amplitude even at high temperatures where the thermal
ensemble is dominated by large AdS black holes. We also study EPR correlations
and find that, in contrast to the behavior of large correlation peaks, their
noise level is the same in TFD states and in more general highly entangled
states.
| [
{
"created": "Mon, 28 Apr 2014 18:37:09 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Barbon",
"Jose L. F.",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] | We study the fine structure of long-time quantum noise in correlation functions of AdS/CFT systems. Under standard assumptions of quantum chaos for the dynamics and the observables, we estimate the size of exponentially small oscillations and trace them back to geometrical features of the bulk system. The noise level is highly suppressed by the amount of dynamical chaos and the amount of quantum impurity in the states. This implies that, despite their missing on the details of Poincare recurrences, `virtual' thermal AdS phases do control the overall noise amplitude even at high temperatures where the thermal ensemble is dominated by large AdS black holes. We also study EPR correlations and find that, in contrast to the behavior of large correlation peaks, their noise level is the same in TFD states and in more general highly entangled states. |
hep-th/0006011 | Valentin Khoze | N. Michael Davies, Timothy J. Hollowood and Valentin V. Khoze | Monopoles, affine algebras and the gluino condensate | minor changes, 23 pages, no figures | J.Math.Phys.44:3640-3656,2003 | 10.1063/1.1586477 | null | hep-th hep-ph | null | We examine the low-energy dynamics of four-dimensional supersymmetric gauge
theories and calculate the values of the gluino condensate for all simple gauge
groups. By initially compactifying the theory on a cylinder we are able to
perform calculations in a controlled weakly-coupled way for small radius. The
dominant contributions to the path integral on the cylinder arise from magnetic
monopoles which play the role of instanton constituents. We find that the
semi-classically generated superpotential of the theory is the affine Toda
potential for an associated twisted affine algebra. We determine the
supersymmetric vacua and calculate the values of the gluino condensate. The
number of supersymmetric vacua is equal to c_2, the dual Coxeter number, and in
each vacuum the monopoles carry a fraction 1/c_2 of topological charge. As the
results are independent of the radius of the circle, they are also valid in the
strong coupling regime where the theory becomes decompactified. In this way we
obtain values for the gluino condensate which for the classical gauge groups
agree with previously known ``weak coupling instanton'' expressions (but not
with the ``strong coupling instanton'' calculations). This detailed agreement
provides further evidence in favour of the recently advocated resolution of the
the gluino condensate puzzle. We also make explicit predictions for the gluino
condensate for the exceptional groups.
| [
{
"created": "Thu, 1 Jun 2000 21:48:19 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2000 16:07:31 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Davies",
"N. Michael",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Khoze",
"Valentin V.",
""
]
] | We examine the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculate the values of the gluino condensate for all simple gauge groups. By initially compactifying the theory on a cylinder we are able to perform calculations in a controlled weakly-coupled way for small radius. The dominant contributions to the path integral on the cylinder arise from magnetic monopoles which play the role of instanton constituents. We find that the semi-classically generated superpotential of the theory is the affine Toda potential for an associated twisted affine algebra. We determine the supersymmetric vacua and calculate the values of the gluino condensate. The number of supersymmetric vacua is equal to c_2, the dual Coxeter number, and in each vacuum the monopoles carry a fraction 1/c_2 of topological charge. As the results are independent of the radius of the circle, they are also valid in the strong coupling regime where the theory becomes decompactified. In this way we obtain values for the gluino condensate which for the classical gauge groups agree with previously known ``weak coupling instanton'' expressions (but not with the ``strong coupling instanton'' calculations). This detailed agreement provides further evidence in favour of the recently advocated resolution of the the gluino condensate puzzle. We also make explicit predictions for the gluino condensate for the exceptional groups. |
2210.01139 | Qiuyue Liang | Kurt Hinterbichler, Qiuyue Liang, Mark Trodden | On the EFT of Conformal Symmetry Breaking | null | null | 10.1103/PhysRevD.107.065018 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Conformal symmetry can be spontaneously broken due to the presence of a
defect or other background, which gives a symmetry-breaking vacuum expectation
value (VEV) to some scalar operators. We study the effective field theory of
fluctuations around these backgrounds, showing that it organizes as an
expansion in powers of the inverse of the VEV, and computing some of the
leading corrections. We focus on the case of space-like defects in a
four-dimensional Lorentzian theory relevant to the pseudo-conformal universe
scenario, although the conclusions extend to other kinds of defects and to the
breaking of conformal symmetry to Poincar\'e symmetry.
| [
{
"created": "Mon, 3 Oct 2022 18:00:05 GMT",
"version": "v1"
}
] | 2023-04-05 | [
[
"Hinterbichler",
"Kurt",
""
],
[
"Liang",
"Qiuyue",
""
],
[
"Trodden",
"Mark",
""
]
] | Conformal symmetry can be spontaneously broken due to the presence of a defect or other background, which gives a symmetry-breaking vacuum expectation value (VEV) to some scalar operators. We study the effective field theory of fluctuations around these backgrounds, showing that it organizes as an expansion in powers of the inverse of the VEV, and computing some of the leading corrections. We focus on the case of space-like defects in a four-dimensional Lorentzian theory relevant to the pseudo-conformal universe scenario, although the conclusions extend to other kinds of defects and to the breaking of conformal symmetry to Poincar\'e symmetry. |
hep-th/0605274 | Jussi Kalkkinen | M.J. Duff and Jussi Kalkkinen | Metric and coupling reversal in string theory | LaTeX, 27 pages; v2: New results on Green-Schwarz corrections;
transformation rules for axions; corrected F-theory treatment; other minor
additions and corrections | Nucl.Phys.B760:64-88,2007 | 10.1016/j.nuclphysb.2006.10.016 | Imperial/TP/2006/mjd/4 | hep-th | null | Invariance under reversing the sign of the metric G_{MN}(x) and/or the sign
of the string coupling field H(x), where <H(x)> = g_s, leads to four possible
Universes denoted 1,I,J,K according as (G,H) goes to (G,H), (-G,H), (-G,-H),
(G,-H), respectively. Universe 1 is described by conventional string/M theory
and contains all M, D, F and NS branes. Universe I contains only D(-1), D3 and
D7. Universe J contains only D1, D5, D9 and Type I. Universe K contains only F1
and NS5 of IIB and Heterotic SO(32).
| [
{
"created": "Sun, 28 May 2006 16:40:14 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Aug 2006 12:49:20 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Duff",
"M. J.",
""
],
[
"Kalkkinen",
"Jussi",
""
]
] | Invariance under reversing the sign of the metric G_{MN}(x) and/or the sign of the string coupling field H(x), where <H(x)> = g_s, leads to four possible Universes denoted 1,I,J,K according as (G,H) goes to (G,H), (-G,H), (-G,-H), (G,-H), respectively. Universe 1 is described by conventional string/M theory and contains all M, D, F and NS branes. Universe I contains only D(-1), D3 and D7. Universe J contains only D1, D5, D9 and Type I. Universe K contains only F1 and NS5 of IIB and Heterotic SO(32). |
hep-th/9812071 | Marco Serone | Jose F. Morales, Claudio A. Scrucca and Marco Serone | Anomalous couplings for D-branes and O-planes | 24 pages, LaTex, 5 figures | Nucl.Phys. B552 (1999) 291-315 | 10.1016/S0550-3213(99)00217-5 | SPIN-1998/13, LMU-TPW 98-17 | hep-th | null | We study anomalous Wess-Zumino couplings of D-branes and O-planes in a
general background and derive them from a direct string computation by
factorizing in the RR channel various one-loop amplitudes. In particular, we
find that Op-planes present gravitational anomalous couplings involving the
Hirzebruch polynomial L, similarly to the roof genus A encoding Dp-brane
anomalous couplings. We determine, in each case, the precise dependence of
these couplings on the curvature of the tangent and normal bundles.
| [
{
"created": "Tue, 8 Dec 1998 18:50:33 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Morales",
"Jose F.",
""
],
[
"Scrucca",
"Claudio A.",
""
],
[
"Serone",
"Marco",
""
]
] | We study anomalous Wess-Zumino couplings of D-branes and O-planes in a general background and derive them from a direct string computation by factorizing in the RR channel various one-loop amplitudes. In particular, we find that Op-planes present gravitational anomalous couplings involving the Hirzebruch polynomial L, similarly to the roof genus A encoding Dp-brane anomalous couplings. We determine, in each case, the precise dependence of these couplings on the curvature of the tangent and normal bundles. |
1910.08217 | Andrei Linde | Renata Kallosh and Andrei Linde | Mass Production of Type IIA dS Vacua | 30 pages, 3 figs. A section on string theory embedding of the new
models is added, as well as some comments in Conclusions. This is the version
matching the one to appear in JHEP | null | 10.1007/JHEP01(2020)169 | null | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A three-step procedure is proposed in type IIA string theory to stabilize
multiple moduli in a dS vacuum. The first step is to construct a progenitor
model with a localized stable supersymmetric Minkowski vacuum, or a discrete
set of such vacua. It can be done, for example, using two non-perturbative
exponents in the superpotential for each modulus, as in the KL model. A large
set of supersymmetric Minkowski vacua with strongly stabilized moduli is
protected by a theorem on stability of these vacua in absence of flat
directions. The second step involves a parametrically small downshift to a
supersymmetric AdS vacuum, which can be achieved by a small change of the
superpotential. The third step is an uplift to a dS vacuum with a positive
cosmological constant using the $\overline {D6}$-brane contribution. Stability
of the resulting dS vacuum is inherited from the stability of the original
supersymmetric Minkowski vacuum if the supersymmetry breaking in dS vacuum is
parametrically small.
| [
{
"created": "Fri, 18 Oct 2019 01:23:48 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2020 22:38:32 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
]
] | A three-step procedure is proposed in type IIA string theory to stabilize multiple moduli in a dS vacuum. The first step is to construct a progenitor model with a localized stable supersymmetric Minkowski vacuum, or a discrete set of such vacua. It can be done, for example, using two non-perturbative exponents in the superpotential for each modulus, as in the KL model. A large set of supersymmetric Minkowski vacua with strongly stabilized moduli is protected by a theorem on stability of these vacua in absence of flat directions. The second step involves a parametrically small downshift to a supersymmetric AdS vacuum, which can be achieved by a small change of the superpotential. The third step is an uplift to a dS vacuum with a positive cosmological constant using the $\overline {D6}$-brane contribution. Stability of the resulting dS vacuum is inherited from the stability of the original supersymmetric Minkowski vacuum if the supersymmetry breaking in dS vacuum is parametrically small. |
1509.00847 | Yifan Wang | Yifan Wang, Dan Xie | Classification of Argyres-Douglas theories from M5 branes | 35 pages, 9 tables, 6 figures. v2: minor corrections | Phys. Rev. D 94, 065012 (2016) | 10.1103/PhysRevD.94.065012 | MIT-CTP/4711 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain a large class of new 4d Argyres-Douglas theories by classifying
irregular punctures for the 6d (2,0) superconformal theory of ADE type on a
sphere. Along the way, we identify the connection between the Hitchin system
and three-fold singularity descriptions of the same Argyres-Douglas theory.
Other constructions such as taking degeneration limits of the irregular
puncture, adding an extra regular puncture, and introducing outer-automorphism
twists are also discussed. Later we investigate various features of these
theories including their Coulomb branch spectrum and central charges.
| [
{
"created": "Wed, 2 Sep 2015 20:00:47 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Dec 2016 19:22:14 GMT",
"version": "v2"
}
] | 2016-12-21 | [
[
"Wang",
"Yifan",
""
],
[
"Xie",
"Dan",
""
]
] | We obtain a large class of new 4d Argyres-Douglas theories by classifying irregular punctures for the 6d (2,0) superconformal theory of ADE type on a sphere. Along the way, we identify the connection between the Hitchin system and three-fold singularity descriptions of the same Argyres-Douglas theory. Other constructions such as taking degeneration limits of the irregular puncture, adding an extra regular puncture, and introducing outer-automorphism twists are also discussed. Later we investigate various features of these theories including their Coulomb branch spectrum and central charges. |
hep-th/9803083 | Mikhail Iofa | Mikhail Z. Iofa, Leopoldo A. Pando Zayas | Statistical Entropy of Magnetic Black Holes from Near--Horizon Geometry | Final version to appear in Physics Letters B. Typos corrected, two
refs. added | Phys.Lett. B434 (1998) 264-268 | 10.1016/S0370-2693(98)00756-4 | null | hep-th | null | Four-dimensional magnetic black holes including dilaton and abelian gauge
fields which are solutions of supergravity can also be obtained by dimensional
reduction of the Einstein-Maxwell gravity in five dimensions. In the extremal
case the five-dimensional solutions have horizon and their near-horizon
geometry is $AdS_3\times S^2 $. In the non-extremal case the near-horizon
geometry is shown to be the product of the three-dimensional
Ba\~nados-Teitelboim-Zanelli black hole and $S^2$. This allows to perform
microscopic counting of statistical entropy of magnetic black holes. Exact
agreement with the geometric entropy is found.
The microstates responsible for statistical entropy are located in the
near-horizon region.
| [
{
"created": "Tue, 10 Mar 1998 10:19:13 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 1998 07:54:19 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Iofa",
"Mikhail Z.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] | Four-dimensional magnetic black holes including dilaton and abelian gauge fields which are solutions of supergravity can also be obtained by dimensional reduction of the Einstein-Maxwell gravity in five dimensions. In the extremal case the five-dimensional solutions have horizon and their near-horizon geometry is $AdS_3\times S^2 $. In the non-extremal case the near-horizon geometry is shown to be the product of the three-dimensional Ba\~nados-Teitelboim-Zanelli black hole and $S^2$. This allows to perform microscopic counting of statistical entropy of magnetic black holes. Exact agreement with the geometric entropy is found. The microstates responsible for statistical entropy are located in the near-horizon region. |
1101.1228 | Jen-Chi Lee | Jen-Chi Lee, Yoshihiro Mitsuka and Yi Yang | Higher Spin String States Scattered from D-particle in the Regge Regime
and Factorized Ratios of Fixed Angle Scatterings | 19 pages v2. Eqs.(3.19) to (3.21) added. v3. 27 pages. example added
in sec.III. final in Prog. Theo. Phys | Prog. Theor. Phys. 126 (2011), 397-417 | 10.1143/PTP.126.397 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study scattering of higher spin closed string states at arbitrary mass
levels from D-particle in the Regge regime. We extract the infinite ratios
among high-energy amplitudes of different string states in the fixed angle
regime from these Regge string scattering amplitudes. In this calculation, we
have used an identity proved recently based on a signless Stirling number
identity in combinatorial theory. The complete ratios calculated by this
indirect method include a subset of ratios calculated previously by direct
fixed angle calculation. Moreover, we discover that in spite of the
non-factorizability of the closed string D-particle scattering amplitudes, the
complete ratios derived for the fixed angle regime are found to be factorized.
These ratios are consistent with the decoupling of high-energy zero norm states
calculated previously.
| [
{
"created": "Thu, 6 Jan 2011 14:37:31 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jan 2011 15:15:01 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Sep 2011 09:13:16 GMT",
"version": "v3"
}
] | 2011-11-03 | [
[
"Lee",
"Jen-Chi",
""
],
[
"Mitsuka",
"Yoshihiro",
""
],
[
"Yang",
"Yi",
""
]
] | We study scattering of higher spin closed string states at arbitrary mass levels from D-particle in the Regge regime. We extract the infinite ratios among high-energy amplitudes of different string states in the fixed angle regime from these Regge string scattering amplitudes. In this calculation, we have used an identity proved recently based on a signless Stirling number identity in combinatorial theory. The complete ratios calculated by this indirect method include a subset of ratios calculated previously by direct fixed angle calculation. Moreover, we discover that in spite of the non-factorizability of the closed string D-particle scattering amplitudes, the complete ratios derived for the fixed angle regime are found to be factorized. These ratios are consistent with the decoupling of high-energy zero norm states calculated previously. |
1903.12450 | Josef Kluson | J. Kluson, P. Novosad | Non-Relativistic M2-Brane | 17 pages,v1:corrected some typos, v2:reference added | null | 10.1007/JHEP06(2019)072 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an action for non-relativistic M2-brane in eleven dimensional
M-brane Newton-Cartan background. We find its Hamiltonian formulation and we
focus on its dimensional reduction to ten dimensions that leads to
non-relativistic D2-brane or to non-relativistic string. We also discuss
T-duality properties of non-relativistic D2-brane.
| [
{
"created": "Fri, 29 Mar 2019 11:07:47 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2019 08:43:33 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Apr 2019 08:57:12 GMT",
"version": "v3"
}
] | 2019-07-24 | [
[
"Kluson",
"J.",
""
],
[
"Novosad",
"P.",
""
]
] | We propose an action for non-relativistic M2-brane in eleven dimensional M-brane Newton-Cartan background. We find its Hamiltonian formulation and we focus on its dimensional reduction to ten dimensions that leads to non-relativistic D2-brane or to non-relativistic string. We also discuss T-duality properties of non-relativistic D2-brane. |
1404.0571 | Yan Liu | Yan Liu, Koenraad Schalm, Ya-Wen Sun and Jan Zaanen | BCS instabilities of electron stars to holographic superconductors | 35 pages, 8 figures; v2, minor change, published version | JHEP 1405 (2014) 122 | 10.1007/JHEP05(2014)122 | IFT-UAM/CSIC-14030 | hep-th cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study fermion pairing and condensation towards an ordered state in
strongly coupled quantum critical systems with a holographic AdS/CFT dual. On
the gravity side this is modeled by a system of charged fermion interacting
through a BCS coupling. At finite density such a system has a BCS instability.
We combine the relativistic version of mean-field BCS with the semi-classical
fluid approximation for the many-body state of fermions. The resulting
groundstate is the AdS equivalent of a charged neutron star with a
superconducting core. The spectral function of the fermions confirms that the
ground state is ordered through the condensation of the pair operator. A
natural variant of the BCS star is shown to exist where the gap field couples
Stueckelberg-like to the AdS Maxwell field. This enhances the tendency of the
system to superconduct.
| [
{
"created": "Wed, 2 Apr 2014 14:37:32 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2014 19:50:28 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Liu",
"Yan",
""
],
[
"Schalm",
"Koenraad",
""
],
[
"Sun",
"Ya-Wen",
""
],
[
"Zaanen",
"Jan",
""
]
] | We study fermion pairing and condensation towards an ordered state in strongly coupled quantum critical systems with a holographic AdS/CFT dual. On the gravity side this is modeled by a system of charged fermion interacting through a BCS coupling. At finite density such a system has a BCS instability. We combine the relativistic version of mean-field BCS with the semi-classical fluid approximation for the many-body state of fermions. The resulting groundstate is the AdS equivalent of a charged neutron star with a superconducting core. The spectral function of the fermions confirms that the ground state is ordered through the condensation of the pair operator. A natural variant of the BCS star is shown to exist where the gap field couples Stueckelberg-like to the AdS Maxwell field. This enhances the tendency of the system to superconduct. |
2102.12155 | Tigran Petrosyan | A. A. Saharian, T. A. Petrosyan, A. A. Hovhannisyan | Casimir effect for fermion condensate in conical rings | 23 pages, 5 figures, Discussion and references added | Universe 7(3), 73 (2021) | 10.3390/universe7030073 | null | hep-th cond-mat.mes-hall quant-ph | http://creativecommons.org/licenses/by/4.0/ | The fermion condensate (FC) is investigated for a (2+1)-dimensional massive
fermionic field confined on a truncated cone with an arbitrary planar angle
deficit and threaded by a magnetic flux. Different combinations of the boundary
conditions are imposed on the edges of the cone. They include the bag boundary
condition as a special case. By using the generalized Abel-Plana-type summation
formula for the series over the eigenvalues of the radial quantum number, the
edge-induced contributions in the FC are explicitly extracted. The FC is an
even periodic function of the magnetic flux with the period equal to the flux
quantum. Depending on the boundary conditions, the condensate can be either
positive or negative. For a massless field the FC in the boundary-free conical
geometry vanishes and the nonzero contributions are purely edge-induced
effects. This provides a mechanism for time-reversal symmetry breaking in the
absence of magnetic fields. Combining the results for the fields corresponding
to two inequivalent irreducible representations of the Clifford algebra, the FC
is investigated in the parity and time-reversal symmetric fermionic models and
applications are discussed for graphitic cones.
| [
{
"created": "Wed, 24 Feb 2021 09:23:14 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2021 11:48:20 GMT",
"version": "v2"
}
] | 2021-03-24 | [
[
"Saharian",
"A. A.",
""
],
[
"Petrosyan",
"T. A.",
""
],
[
"Hovhannisyan",
"A. A.",
""
]
] | The fermion condensate (FC) is investigated for a (2+1)-dimensional massive fermionic field confined on a truncated cone with an arbitrary planar angle deficit and threaded by a magnetic flux. Different combinations of the boundary conditions are imposed on the edges of the cone. They include the bag boundary condition as a special case. By using the generalized Abel-Plana-type summation formula for the series over the eigenvalues of the radial quantum number, the edge-induced contributions in the FC are explicitly extracted. The FC is an even periodic function of the magnetic flux with the period equal to the flux quantum. Depending on the boundary conditions, the condensate can be either positive or negative. For a massless field the FC in the boundary-free conical geometry vanishes and the nonzero contributions are purely edge-induced effects. This provides a mechanism for time-reversal symmetry breaking in the absence of magnetic fields. Combining the results for the fields corresponding to two inequivalent irreducible representations of the Clifford algebra, the FC is investigated in the parity and time-reversal symmetric fermionic models and applications are discussed for graphitic cones. |
hep-th/9206081 | Ninomiya | Hikaru Kawai, Yoshihisa Kitazawa and Masao Ninomiya | Scaling Exponents in Quantum Gravity near Two Dimensions | 24 pages and 1 figure, UT-614, TIT/HEP-191 and YITP/U-92-05 (figures
added to the 1st version) | Nucl.Phys. B393 (1993) 280-300 | 10.1016/0550-3213(93)90246-L | null | hep-th | null | We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that
the conformal mode is explicitly separated. The dynamics of the conformal mode
is understood in terms of the oversubtraction due to the one loop counter term.
The renormalization of the gravitational dressed operators is studied and their
anomalous dimensions are computed. The exact scaling exponents of the 2
dimensional quantum gravity are reproduced in the strong coupling regime when
we take $\epsilon\rightarrow0$ limit. The theory possesses the ultraviolet
fixed point as long as the central charge $c<25$, which separates weak and
strong coupling phases. The weak coupling phase may represent the same
universality class with our Universe in the sense that it contains massless
gravitons if we extrapolate $\epsilon$ up to 2.
| [
{
"created": "Mon, 22 Jun 1992 10:16:57 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 1992 10:49:13 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Kawai",
"Hikaru",
""
],
[
"Kitazawa",
"Yoshihisa",
""
],
[
"Ninomiya",
"Masao",
""
]
] | We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of the oversubtraction due to the one loop counter term. The renormalization of the gravitational dressed operators is studied and their anomalous dimensions are computed. The exact scaling exponents of the 2 dimensional quantum gravity are reproduced in the strong coupling regime when we take $\epsilon\rightarrow0$ limit. The theory possesses the ultraviolet fixed point as long as the central charge $c<25$, which separates weak and strong coupling phases. The weak coupling phase may represent the same universality class with our Universe in the sense that it contains massless gravitons if we extrapolate $\epsilon$ up to 2. |
1409.6313 | Vladimir Mitev | Vladimir Mitev and Elli Pomoni | Toda 3-Point Functions From Topological Strings | 51 pages, 6 figures | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the long-standing problem of obtaining the 3-point functions of
Toda CFT. Our main tools are topological strings and the AGT-W relation between
gauge theories and 2D CFTs. In arXiv:1310.3841 we computed the partition
function of 5D $T_N$ theories on $S^4 \times S^1$ and suggested that they
should be interpreted as the three-point structure constants of q-deformed
Toda. In this paper, we provide the exact AGT-W dictionary for this relation
and rewrite the 5D $T_N$ partition function in a form that makes taking the 4D
limit possible. Thus, we obtain a prescription for the computation of the
partition function of the 4D $T_N$ theories on $S^4$, or equivalently the
undeformed 3-point Toda structure constants. Our formula, has the correct
symmetry properties, the zeros that it should and, for $N=2$, gives the known
answer for Liouville CFT.
| [
{
"created": "Mon, 22 Sep 2014 20:00:15 GMT",
"version": "v1"
}
] | 2014-09-24 | [
[
"Mitev",
"Vladimir",
""
],
[
"Pomoni",
"Elli",
""
]
] | We consider the long-standing problem of obtaining the 3-point functions of Toda CFT. Our main tools are topological strings and the AGT-W relation between gauge theories and 2D CFTs. In arXiv:1310.3841 we computed the partition function of 5D $T_N$ theories on $S^4 \times S^1$ and suggested that they should be interpreted as the three-point structure constants of q-deformed Toda. In this paper, we provide the exact AGT-W dictionary for this relation and rewrite the 5D $T_N$ partition function in a form that makes taking the 4D limit possible. Thus, we obtain a prescription for the computation of the partition function of the 4D $T_N$ theories on $S^4$, or equivalently the undeformed 3-point Toda structure constants. Our formula, has the correct symmetry properties, the zeros that it should and, for $N=2$, gives the known answer for Liouville CFT. |
0810.1943 | Pawe{\l} Klimas | C. Adam, P. Klimas, J. Sanchez-Guillen and A. Wereszczynski | Pullback of the Volume Form, Integrable Models in Higher Dimensions and
Exotic Textures | 23 pages | J.Math.Phys.50:022301,2009 | 10.1063/1.3075572 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A procedure allowing for the construction of Lorentz invariant integrable
models living in d+1 dimensional space-time and with an n dimensional target
space is provided. Here, integrability is understood as the existence of the
generalized zero-curvature formulation and infinitely many conserved
quantities. A close relation between the Lagrange density of the integrable
models and the pullback of the pertinent volume form on target space is
established. Moreover, we show that the conserved currents are Noether currents
generated by the volume preserving diffeomorphisms. Further, we show how such
models may emerge via abelian projection of some gauge theories.
Then we apply this framework to the construction of integrable models with
exotic textures. Particularly, we consider integrable models providing exact
suspended Hopf maps i.e., solitons with a nontrivial topological charge of
pi_4(S^3).
Finally, some families of integrable models with solitons of pi_n(S^n) type
are constructed. Infinitely many exact solutions with arbitrary value of the
topological index are found. In addition, we demonstrate that they saturate a
Bogomolny bound.
| [
{
"created": "Fri, 10 Oct 2008 19:12:52 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Oct 2008 10:00:55 GMT",
"version": "v2"
}
] | 2011-04-28 | [
[
"Adam",
"C.",
""
],
[
"Klimas",
"P.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | A procedure allowing for the construction of Lorentz invariant integrable models living in d+1 dimensional space-time and with an n dimensional target space is provided. Here, integrability is understood as the existence of the generalized zero-curvature formulation and infinitely many conserved quantities. A close relation between the Lagrange density of the integrable models and the pullback of the pertinent volume form on target space is established. Moreover, we show that the conserved currents are Noether currents generated by the volume preserving diffeomorphisms. Further, we show how such models may emerge via abelian projection of some gauge theories. Then we apply this framework to the construction of integrable models with exotic textures. Particularly, we consider integrable models providing exact suspended Hopf maps i.e., solitons with a nontrivial topological charge of pi_4(S^3). Finally, some families of integrable models with solitons of pi_n(S^n) type are constructed. Infinitely many exact solutions with arbitrary value of the topological index are found. In addition, we demonstrate that they saturate a Bogomolny bound. |
1810.10671 | Fernando Tadeu Caldeira Brandt | F. T. Brandt, J. Frenkel and D. G. C. McKeon | Renormalization of six-dimensional Yang-Mills theory in a background
gauge field | 16 pages, 3 figures; Revisions and additions in section III;
Reference added; Accepted for publication in Physical Review D | Phys. Rev. D 99, 025003 (2019) | 10.1103/PhysRevD.99.025003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the background field method, we study in a general covariant gauge the
renormalization of the 6-dimensional Yang-Mills theory. This requires
background gauge invariant counterterms, some of which do not vanish on shell.
Such counterterms occur, even off-shell, with gauge-independent coefficients.
The analysis is done at one loop order and the extension to higher orders is
discussed by means of the BRST identities. We examine the behaviour of the beta
function, which implies that this theory is not asymptotically free.
| [
{
"created": "Thu, 25 Oct 2018 01:04:18 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Dec 2018 19:15:11 GMT",
"version": "v2"
}
] | 2019-01-09 | [
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] | Using the background field method, we study in a general covariant gauge the renormalization of the 6-dimensional Yang-Mills theory. This requires background gauge invariant counterterms, some of which do not vanish on shell. Such counterterms occur, even off-shell, with gauge-independent coefficients. The analysis is done at one loop order and the extension to higher orders is discussed by means of the BRST identities. We examine the behaviour of the beta function, which implies that this theory is not asymptotically free. |
0811.3294 | Chang-Young Ee | Ee Chang-Young, Daeho Lee, Myungseok Yoon | Rotating Black Hole Entropy from Two Different Viewpoints | LaTeX 18 pages, 2 figures, Minor modifications in section 3(ZAMO) | Class.Quant.Grav.26:155011,2009 | 10.1088/0264-9381/26/15/155011 | KIAS-P08063 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the brick-wall method, we study the entropy of Kerr-Newman black hole
from two different viewpoints, a rest observer at infinity and zero angular
momentum observer near horizon. We investigate this with scalar field in the
canonical quantization approach. An observer at infinity can take one of the
two possible frequency ranges; one is with positive frequencies only and the
other is with the whole range including negative frequencies. On the other
hand, a zero angular momentum observer near horizon can take positive
frequencies only. For the observer at infinity the superradiant modes appear in
either choice of the frequency ranges and the two results coincide. For the
zero angular momentum observer superradiant modes do not appear due to absence
of ergoregion. The resulting entropies from the two viewpoints turn out to be
the same.
| [
{
"created": "Thu, 20 Nov 2008 09:37:38 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Nov 2008 05:28:04 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2008 08:59:32 GMT",
"version": "v3"
},
{
"created": "Fri, 13 Feb 2009 08:00:41 GMT",
"version": "v4"
},
{
"created": "Fri, 27 Mar 2009 08:01:08 GMT",
"version": "v5"
}
] | 2009-07-22 | [
[
"Chang-Young",
"Ee",
""
],
[
"Lee",
"Daeho",
""
],
[
"Yoon",
"Myungseok",
""
]
] | Using the brick-wall method, we study the entropy of Kerr-Newman black hole from two different viewpoints, a rest observer at infinity and zero angular momentum observer near horizon. We investigate this with scalar field in the canonical quantization approach. An observer at infinity can take one of the two possible frequency ranges; one is with positive frequencies only and the other is with the whole range including negative frequencies. On the other hand, a zero angular momentum observer near horizon can take positive frequencies only. For the observer at infinity the superradiant modes appear in either choice of the frequency ranges and the two results coincide. For the zero angular momentum observer superradiant modes do not appear due to absence of ergoregion. The resulting entropies from the two viewpoints turn out to be the same. |
2112.07678 | Niccol\`o Cribiori | Ralph Blumenhagen and Niccol\`o Cribiori | Open-Closed Correspondence of K-theory and Cobordism | 36 pages, 2 figures, 5 tables; v2: 35 pages, 1 figure, 5 tables,
substantial revision of mainly section 5 | null | 10.1007/JHEP08(2022)037 | MPP-2021-201 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Non-trivial K-theory groups and non-trivial cobordism groups can lead to
global symmetries which are conjectured to be absent in quantum gravity.
Inspired by open-closed string duality, we propose a correspondence between the
two groups, which can be considered as the physical manifestation of a
generalisation of the classic Conner--Floyd isomorphism. The picture is
exemplified by the relations between KO-groups and Spin-cobordisms and between
K-groups and Spin$^c$-cobordisms. Global symmetries related by such isomorphism
are eventually gauged. By combining K-theory and cobordism, we recover then
tadpole cancellation conditions in type I string theory and F-theory from a
bottom-up perspective.
| [
{
"created": "Tue, 14 Dec 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2022 18:12:36 GMT",
"version": "v2"
}
] | 2022-08-24 | [
[
"Blumenhagen",
"Ralph",
""
],
[
"Cribiori",
"Niccolò",
""
]
] | Non-trivial K-theory groups and non-trivial cobordism groups can lead to global symmetries which are conjectured to be absent in quantum gravity. Inspired by open-closed string duality, we propose a correspondence between the two groups, which can be considered as the physical manifestation of a generalisation of the classic Conner--Floyd isomorphism. The picture is exemplified by the relations between KO-groups and Spin-cobordisms and between K-groups and Spin$^c$-cobordisms. Global symmetries related by such isomorphism are eventually gauged. By combining K-theory and cobordism, we recover then tadpole cancellation conditions in type I string theory and F-theory from a bottom-up perspective. |
1406.1458 | Jan Ambjorn | J. Ambjorn, A. Goerlich, A. Ipsen and H.-G. Zhang | A note on the Lee-Yang singularity coupled to 2d quantum gravity | null | null | 10.1016/j.physletb.2014.06.025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to obtain the critical exponent of magnetization in the Lee-Yang
edge singularity model coupled to two-dimensional quantum gravity.
| [
{
"created": "Thu, 5 Jun 2014 17:49:42 GMT",
"version": "v1"
}
] | 2015-04-15 | [
[
"Ambjorn",
"J.",
""
],
[
"Goerlich",
"A.",
""
],
[
"Ipsen",
"A.",
""
],
[
"Zhang",
"H. -G.",
""
]
] | We show how to obtain the critical exponent of magnetization in the Lee-Yang edge singularity model coupled to two-dimensional quantum gravity. |
1307.3610 | Jassem Al Alawi | Jassem Al-Alawi | Dynamics of Phi^4 Kinks on a Class of Space Dependent Potentials | 10 Pages, 15 Figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the dynamics of $\varphi^{4}$ kinks, generated by
considering a particular argument of $\varphi^{4}$ field, in the presence of
class of smooth space dependent potentials ie. barriers and wells. Various type
of these potentials are produced via two-parameter family. These parameters
control the shapes, widths and heights of such potentials. The dynamics are
presented through the plotting of the trajectories. We compare numerical
calculated critical velocities to theoretical calculations.
| [
{
"created": "Sat, 13 Jul 2013 05:05:37 GMT",
"version": "v1"
}
] | 2013-07-16 | [
[
"Al-Alawi",
"Jassem",
""
]
] | In this paper we study the dynamics of $\varphi^{4}$ kinks, generated by considering a particular argument of $\varphi^{4}$ field, in the presence of class of smooth space dependent potentials ie. barriers and wells. Various type of these potentials are produced via two-parameter family. These parameters control the shapes, widths and heights of such potentials. The dynamics are presented through the plotting of the trajectories. We compare numerical calculated critical velocities to theoretical calculations. |
2010.00924 | Oliver Schlotterer | Eric D'Hoker, Oliver Schlotterer | Identities among higher genus modular graph tensors | 37 pages, v2: added a few figures and explanations; version to appear
in Communications in Number Theory and Physics | null | null | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Higher genus modular graph tensors map Feynman graphs to functions on the
Torelli space of genus-$h$ compact Riemann surfaces which transform as tensors
under the modular group $Sp(2h , \mathbb Z)$, thereby generalizing a
construction of Kawazumi. An infinite family of algebraic identities between
one-loop and tree-level modular graph tensors are proven for arbitrary genus
and arbitrary tensorial rank. We also derive a family of identities that apply
to modular graph tensors of higher loop order.
| [
{
"created": "Fri, 2 Oct 2020 11:15:37 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 2021 15:33:39 GMT",
"version": "v2"
}
] | 2021-09-15 | [
[
"D'Hoker",
"Eric",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | Higher genus modular graph tensors map Feynman graphs to functions on the Torelli space of genus-$h$ compact Riemann surfaces which transform as tensors under the modular group $Sp(2h , \mathbb Z)$, thereby generalizing a construction of Kawazumi. An infinite family of algebraic identities between one-loop and tree-level modular graph tensors are proven for arbitrary genus and arbitrary tensorial rank. We also derive a family of identities that apply to modular graph tensors of higher loop order. |
1801.09567 | Eoin \'O Colg\'ain | Moonju Hong, Yoonsoo Kim, Eoin \'O Colg\'ain | On non-Abelian T-duality for non-semisimple groups | 20 pages; v2 show equations of motion of generalized supergravity
follow from EGRSV sigma-model | null | 10.1140/epjc/s10052-018-6502-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit non-Abelian T-duality for non-semisimple groups, where it is
well-known that a mixed gravitational-gauge anomaly leads to $\sigma$-models
that are scale, but not Weyl-invariant. Taking into account the variation of a
non-local anomalous term in the T-dual $\sigma$-model of Elitzer, Giveon,
Rabinovici, Schwimmer \& Veneziano, we show that the equations of motion of
generalized supergravity follow from the $\sigma$-model once the Killing vector
$I$ is identified with the trace of the structure constants. As a result,
non-Abelian T-duals with respect to non-semisimple groups are solutions to
generalized supergravity. We illustrate our findings with Bianchi spacetimes.
| [
{
"created": "Fri, 26 Jan 2018 12:27:42 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Mar 2018 01:02:34 GMT",
"version": "v2"
}
] | 2019-01-30 | [
[
"Hong",
"Moonju",
""
],
[
"Kim",
"Yoonsoo",
""
],
[
"Colgáin",
"Eoin Ó",
""
]
] | We revisit non-Abelian T-duality for non-semisimple groups, where it is well-known that a mixed gravitational-gauge anomaly leads to $\sigma$-models that are scale, but not Weyl-invariant. Taking into account the variation of a non-local anomalous term in the T-dual $\sigma$-model of Elitzer, Giveon, Rabinovici, Schwimmer \& Veneziano, we show that the equations of motion of generalized supergravity follow from the $\sigma$-model once the Killing vector $I$ is identified with the trace of the structure constants. As a result, non-Abelian T-duals with respect to non-semisimple groups are solutions to generalized supergravity. We illustrate our findings with Bianchi spacetimes. |
hep-th/0012212 | J. Fernando Barbero G. | J. Fernando Barbero G. and Eduardo J. S. Villase\~nor | Quadratic s-Form Field Actions with Semi-bounded Energy | 1+35 papes in (DIN A4 format) | Nucl.Phys.B600:423-449,2001 | 10.1016/S0550-3213(01)00059-1 | null | hep-th gr-qc | null | We give in this paper a partial classification of the consistent quadratic
gauge actions that can be written in terms of s-form fields. This provides a
starting point to study the uniqueness of the Yang-Mills action as a
deformation of Maxwell-like theories. We also show that it is impossible to
write kinetic 1-form terms that can be consistently added to other 1-form
actions such as tetrad gravity in four space-time dimensions even in the
presence of a Minkowskian metric background.
| [
{
"created": "Thu, 21 Dec 2000 14:45:32 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"G.",
"J. Fernando Barbero",
""
],
[
"Villaseñor",
"Eduardo J. S.",
""
]
] | We give in this paper a partial classification of the consistent quadratic gauge actions that can be written in terms of s-form fields. This provides a starting point to study the uniqueness of the Yang-Mills action as a deformation of Maxwell-like theories. We also show that it is impossible to write kinetic 1-form terms that can be consistently added to other 1-form actions such as tetrad gravity in four space-time dimensions even in the presence of a Minkowskian metric background. |
hep-th/9812054 | Andrei M. Malokostov | O.I.Zavialov, A.M.Malokostov | Wigner function for free relativistic particles | LaTeX file, 6 pages | Theor.Math.Phys. 119 (1999) 448-453; Teor.Mat.Fiz. 119 (1999)
67-72 | 10.1007/BF02557343 | null | hep-th | null | A generalization of the Wigner function for the case of a free particle with
the ``relativistic'' Hamiltonian $\sqrt{{\bf p}^2+m^2}$ is given.
| [
{
"created": "Mon, 7 Dec 1998 10:20:42 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Zavialov",
"O. I.",
""
],
[
"Malokostov",
"A. M.",
""
]
] | A generalization of the Wigner function for the case of a free particle with the ``relativistic'' Hamiltonian $\sqrt{{\bf p}^2+m^2}$ is given. |
0704.2658 | Silviu-Constantin Sararu | C. Bizdadea, E. M. Cioroianu, A. C. Lungu, S. C. Sararu | No cross-interactions between the Weyl graviton and the massless
Rarita-Schwinger field | 26 pages | AnnalenPhys.15:416-433,2006 | 10.1002/andp.200510181 | null | hep-th | null | The proof of the fact that there are no nontrivial, consistent
cross-couplings that can be added between the Weyl graviton and the massless
Rarita-Schwinger field is accomplished by means of a cohomological approach,
based on the deformation of the solution to the master equation from the
antifield-Becchi-Rouet-Stora-Tyutin (BRST) formalism. The procedure developed
here relies on the assumptions of locality, smoothness, (background) Lorentz
invariance, Poincare invariance, and preservation of the number of derivatives
with respect to each field (the last hypothesis was made only in antighost
number zero).
| [
{
"created": "Fri, 20 Apr 2007 06:17:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bizdadea",
"C.",
""
],
[
"Cioroianu",
"E. M.",
""
],
[
"Lungu",
"A. C.",
""
],
[
"Sararu",
"S. C.",
""
]
] | The proof of the fact that there are no nontrivial, consistent cross-couplings that can be added between the Weyl graviton and the massless Rarita-Schwinger field is accomplished by means of a cohomological approach, based on the deformation of the solution to the master equation from the antifield-Becchi-Rouet-Stora-Tyutin (BRST) formalism. The procedure developed here relies on the assumptions of locality, smoothness, (background) Lorentz invariance, Poincare invariance, and preservation of the number of derivatives with respect to each field (the last hypothesis was made only in antighost number zero). |
1509.00251 | A. Yu. Petrov | M. Cvetic, T. Mariz, and A. Yu. Petrov | On the decoupling of heavy states in higher-derivative supersymmetric
field theories | 17 pages, version accepted to PRD | Phys. Rev. D 92, 085041 (2015) | 10.1103/PhysRevD.92.085041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the problem of decoupling of heavy chiral superfields in
four-dimensional $N=1$ supersymmetric field theories with Lorentz-invariant and
Lorentz-violating higher-derivative terms. We demonstrate that the earlier
found effect of large logarithmic quantum corrections, due to heavy chiral
superfields, takes place not only if the theory possesses quantum divergences,
but also for essentially finite theories involving higher derivative terms,
both Lorentz-invariant and Lorentz-breaking ones.
| [
{
"created": "Tue, 1 Sep 2015 12:19:30 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2015 19:11:32 GMT",
"version": "v2"
}
] | 2015-11-04 | [
[
"Cvetic",
"M.",
""
],
[
"Mariz",
"T.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | We study the problem of decoupling of heavy chiral superfields in four-dimensional $N=1$ supersymmetric field theories with Lorentz-invariant and Lorentz-violating higher-derivative terms. We demonstrate that the earlier found effect of large logarithmic quantum corrections, due to heavy chiral superfields, takes place not only if the theory possesses quantum divergences, but also for essentially finite theories involving higher derivative terms, both Lorentz-invariant and Lorentz-breaking ones. |
hep-th/0110171 | Mina Aganagic | Mina Aganagic and Cumrun Vafa | $G_2$ Manifolds, Mirror Symmetry and Geometric Engineering | 35 pages, harvmac | null | null | HUTP-01/A048 | hep-th | null | We construct Calabi-Yau geometries with wrapped D6 branes which realize
${\cal N}=1$ supersymmetric $A_r$ quiver theories, and study the corresponding
geometric transitions. This also yields new large $N$ dualities for topological
strings generalizing topological strings/large $N$ Chern-Simons duality.
Lifting up to M-theory yields smooth quantum geometric transitions without
branes or fluxes, in the context of $G_2$ holonomy manifolds. In addition we
construct a linear sigma model realization which is relevant for the worldsheet
theory of superstrings propagating in local manifolds with $G_2$ holonomy, and
obtain mirror geometries for this class of supersymmetric sigma models.
| [
{
"created": "Thu, 18 Oct 2001 20:05:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aganagic",
"Mina",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We construct Calabi-Yau geometries with wrapped D6 branes which realize ${\cal N}=1$ supersymmetric $A_r$ quiver theories, and study the corresponding geometric transitions. This also yields new large $N$ dualities for topological strings generalizing topological strings/large $N$ Chern-Simons duality. Lifting up to M-theory yields smooth quantum geometric transitions without branes or fluxes, in the context of $G_2$ holonomy manifolds. In addition we construct a linear sigma model realization which is relevant for the worldsheet theory of superstrings propagating in local manifolds with $G_2$ holonomy, and obtain mirror geometries for this class of supersymmetric sigma models. |
hep-th/0301173 | Andrew Neitzke | Lubos Motl, Andrew Neitzke | Asymptotic black hole quasinormal frequencies | 21 pages, 4 EPS figures, JHEP3 LaTeX; v2: references added, typos
corrected, discussion expanded; v3: references added, small changes,
clarified relation between Schwarzschild and Reissner-Nordstrom asymptotic
frequencies (published version of text) | Adv.Theor.Math.Phys. 7 (2003) 307-330 | null | HUTP-03/A005 | hep-th gr-qc | null | We give a new derivation of the quasinormal frequencies of Schwarzschild
black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of
infinite damping. For Schwarzschild in d>=4 we find that the asymptotic real
part is T_Hawking.log(3) for scalar perturbations and for some gravitational
perturbations; this confirms a result previously obtained by other means in the
case d=4. For Reissner-Nordstrom in d=4 we find a specific generally aperiodic
behavior for the quasinormal frequencies, both for scalar perturbations and for
electromagnetic-gravitational perturbations. The formulae are obtained by
studying the monodromy of the perturbation analytically continued to the
complex plane; the analysis depends essentially on the behavior of the
potential in the "unphysical" region near the black hole singularity.
| [
{
"created": "Thu, 23 Jan 2003 20:39:22 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 2003 19:35:15 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jul 2003 03:53:59 GMT",
"version": "v3"
},
{
"created": "Wed, 24 Dec 2003 16:34:25 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Motl",
"Lubos",
""
],
[
"Neitzke",
"Andrew",
""
]
] | We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of infinite damping. For Schwarzschild in d>=4 we find that the asymptotic real part is T_Hawking.log(3) for scalar perturbations and for some gravitational perturbations; this confirms a result previously obtained by other means in the case d=4. For Reissner-Nordstrom in d=4 we find a specific generally aperiodic behavior for the quasinormal frequencies, both for scalar perturbations and for electromagnetic-gravitational perturbations. The formulae are obtained by studying the monodromy of the perturbation analytically continued to the complex plane; the analysis depends essentially on the behavior of the potential in the "unphysical" region near the black hole singularity. |
2202.01633 | Ioannis Tsiares Mr | Tokiro Numasawa, Ioannis Tsiares | Universal Dynamics of Heavy Operators in Boundary CFT$_2$ | 54 pages + refs, 11 figures. v2: added refs, fixed typos | null | 10.1007/JHEP08(2022)156 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a universal asymptotic formula for generic boundary conditions for
the average value of the bulk-to-boundary and boundary Operator Product
Expansion coefficients of any unitary, compact two-dimensional Boundary CFT
(BCFT) with $c>1$. The asymptotic limit consists of taking one or more boundary
primary operators -- which transform under a single copy of the Virasoro
algebra -- to have parametrically large conformal dimension for fixed central
charge. In particular, we find a \textit{single} universal expression that
interpolates between distinct heavy regimes, exactly as in the case of bulk OPE
asymptotics\cite{Collier:2019weq}. The expression depends universally on the
boundary entropy and the central charge, and not on any other details of the
theory. We derive these asymptotics by studying crossing symmetry of various
correlation functions on higher genus Riemann surfaces with open boundaries.
Essential in the derivation is the use of the irrational versions of the
crossing kernels that relate holomorphic Virasoro blocks in different channels.
Our results strongly suggest an extended version of the Eigenstate
Thermalization Hypothesis for boundary OPE coefficients, where the hierarchy
between the diagonal and non-diagonal term in the ansatz is further controlled
by the boundary entropy. We finally comment on the applications of our results
in the context of $\text{AdS}_3/\text{BCFT}_2$, as well as on the recent
relation of BCFTs with lower dimensional models of evaporating black holes.
| [
{
"created": "Thu, 3 Feb 2022 15:07:36 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Apr 2022 13:45:10 GMT",
"version": "v2"
}
] | 2022-09-07 | [
[
"Numasawa",
"Tokiro",
""
],
[
"Tsiares",
"Ioannis",
""
]
] | We derive a universal asymptotic formula for generic boundary conditions for the average value of the bulk-to-boundary and boundary Operator Product Expansion coefficients of any unitary, compact two-dimensional Boundary CFT (BCFT) with $c>1$. The asymptotic limit consists of taking one or more boundary primary operators -- which transform under a single copy of the Virasoro algebra -- to have parametrically large conformal dimension for fixed central charge. In particular, we find a \textit{single} universal expression that interpolates between distinct heavy regimes, exactly as in the case of bulk OPE asymptotics\cite{Collier:2019weq}. The expression depends universally on the boundary entropy and the central charge, and not on any other details of the theory. We derive these asymptotics by studying crossing symmetry of various correlation functions on higher genus Riemann surfaces with open boundaries. Essential in the derivation is the use of the irrational versions of the crossing kernels that relate holomorphic Virasoro blocks in different channels. Our results strongly suggest an extended version of the Eigenstate Thermalization Hypothesis for boundary OPE coefficients, where the hierarchy between the diagonal and non-diagonal term in the ansatz is further controlled by the boundary entropy. We finally comment on the applications of our results in the context of $\text{AdS}_3/\text{BCFT}_2$, as well as on the recent relation of BCFTs with lower dimensional models of evaporating black holes. |
1212.5019 | Louise Anderson | Louise Anderson | Five-dimensional topologically twisted maximally supersymmetric
Yang-Mills theory | Minor revisions performed to agree with JHEP version. 16 pages | null | 10.1007/JHEP02(2013)131 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Herein, we consider a topologically twisted version of maximally
supersymmetric Yang-Mills theory in five dimensions which was introduced by
Witten in 2011. We consider this theory on a five manifold of the form M_4 x I
for M_4 an oriented Riemannian four manifold. The complete and unique action of
the theory in bulk is written down and is shown to be invariant under two
scalar supersymmetries.
| [
{
"created": "Thu, 20 Dec 2012 13:05:11 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2013 16:00:44 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Jan 2013 11:54:22 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Anderson",
"Louise",
""
]
] | Herein, we consider a topologically twisted version of maximally supersymmetric Yang-Mills theory in five dimensions which was introduced by Witten in 2011. We consider this theory on a five manifold of the form M_4 x I for M_4 an oriented Riemannian four manifold. The complete and unique action of the theory in bulk is written down and is shown to be invariant under two scalar supersymmetries. |
hep-th/9811001 | Aleksandar Bogojevic | A. Bogojevic, B. Sazdovic (Belgrade, Inst. Phys.) and O. Miskovic
(Vinca Inst.) | Abelian Bosonization, the Wess-Zumino Functional and Conformal Symmetry | 7 pages, Latex 2e, no figures | null | null | IP-HET-98-30 | hep-th | null | We look at the equivalence of the massive Thirring and sine-Gordon models.
Previously, this equivalence was derived perturbatively in mass (though to all
orders). Our calculation goes beyond that and uncovers an underlying conformal
symmetry.
| [
{
"created": "Sat, 31 Oct 1998 11:27:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bogojevic",
"A.",
"",
"Belgrade, Inst. Phys."
],
[
"Sazdovic",
"B.",
"",
"Belgrade, Inst. Phys."
],
[
"Miskovic",
"O.",
"",
"Vinca Inst."
]
] | We look at the equivalence of the massive Thirring and sine-Gordon models. Previously, this equivalence was derived perturbatively in mass (though to all orders). Our calculation goes beyond that and uncovers an underlying conformal symmetry. |
hep-th/0404233 | J. David Vergara | M. Rosenbaum and J. D. Vergara | The Hopf Algebra of Renormalization, Normal Coordinates and Kontsevich
Deformation Quantization | 21 pages, 15 figures | J.Phys. A37 (2004) 7939-7954 | 10.1088/0305-4470/37/32/008 | null | hep-th | null | Using normal coordinates in a Poincar\'e-Birkhoff-Witt basis for the Hopf
algebra of renormalization in perturbative quantum field theory, we investigate
the relation between the twisted antipode axiom in that formalism, the Birkhoff
algebraic decomposition and the universal formula of Kontsevich for quantum
deformation.
| [
{
"created": "Wed, 28 Apr 2004 23:30:22 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Rosenbaum",
"M.",
""
],
[
"Vergara",
"J. D.",
""
]
] | Using normal coordinates in a Poincar\'e-Birkhoff-Witt basis for the Hopf algebra of renormalization in perturbative quantum field theory, we investigate the relation between the twisted antipode axiom in that formalism, the Birkhoff algebraic decomposition and the universal formula of Kontsevich for quantum deformation. |
2104.10714 | Mikhail Shifman | Mikhail Shifman | Bringing Yang-Mills Theory Closer to Quasiclassics | 10 pages, 4 figures. V. 2: typos corrected; Two explanatory
paragraphs added in Section 6. Accepted for publication in PRD | Phys. Rev. D 104, 045002 (2021) | 10.1103/PhysRevD.104.045002 | FTPI-MINN-21-05, UMN-TH-4012/21 | hep-th | http://creativecommons.org/licenses/by-sa/4.0/ | A deformation of pure Yang-Mill theory by a phantom field similar to the
Faddeev-Popov ghost is considered. In this theory an {\em Ersatz}-supersymmetry
is identified which results in cancellation of quantum corrections up to
two-loop order. A quadruplet built from two complex fields in the adjoint --
the Faddeev-Popov ghost $c^a$ and the phantom $\Phi^a$, all with the wrong
statistics -- balances four gauge fields $a_\mu^a$. At this level, the
instanton measure and the $\beta$ function is fully determined by
quasiclassics. In a simple $\phi^4$ theory with a phantom added I identify a
strictly conserved {\em Ersatz}-supercurrent. In the latter theory unitarity of
amplitudes persists despite the presence of the phantom. In deformed Yang-Mills
it is likely (although not proven) to persist too in all amplitudes with only
gluon external legs. It remains to be seen whether this construction is just a
device facilitating some loop calculations or broader applications can be
found.
| [
{
"created": "Wed, 21 Apr 2021 18:27:10 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jul 2021 21:58:37 GMT",
"version": "v2"
}
] | 2021-08-11 | [
[
"Shifman",
"Mikhail",
""
]
] | A deformation of pure Yang-Mill theory by a phantom field similar to the Faddeev-Popov ghost is considered. In this theory an {\em Ersatz}-supersymmetry is identified which results in cancellation of quantum corrections up to two-loop order. A quadruplet built from two complex fields in the adjoint -- the Faddeev-Popov ghost $c^a$ and the phantom $\Phi^a$, all with the wrong statistics -- balances four gauge fields $a_\mu^a$. At this level, the instanton measure and the $\beta$ function is fully determined by quasiclassics. In a simple $\phi^4$ theory with a phantom added I identify a strictly conserved {\em Ersatz}-supercurrent. In the latter theory unitarity of amplitudes persists despite the presence of the phantom. In deformed Yang-Mills it is likely (although not proven) to persist too in all amplitudes with only gluon external legs. It remains to be seen whether this construction is just a device facilitating some loop calculations or broader applications can be found. |
hep-th/9504009 | Qw | J.E.Paschalis and P.I.Porfyriadis | Application of the Faddeev-Jackiw formalism to the gauged WZW model | 10 pages, LaTex | Phys.Lett. B355 (1995) 171-177 | 10.1016/0370-2693(95)00746-8 | THES-TP 95/03 | hep-th | null | The two-flavor Wess-Zumino model coupled to electromagnetism is treated as a
constraint system using the Faddeev-Jackiw method. Expanding into series of
powers of the pion fields and keeping terms up to second and third order we
obtain Coulomb- gauge Lagrangeans containing non-local terms.
| [
{
"created": "Tue, 4 Apr 1995 11:36:01 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Paschalis",
"J. E.",
""
],
[
"Porfyriadis",
"P. I.",
""
]
] | The two-flavor Wess-Zumino model coupled to electromagnetism is treated as a constraint system using the Faddeev-Jackiw method. Expanding into series of powers of the pion fields and keeping terms up to second and third order we obtain Coulomb- gauge Lagrangeans containing non-local terms. |
hep-th/9710125 | Maxim Zabzine | Myck Schwetz (Rutgers U.), Maxim Zabzine (Stockholm U.) | Gaugino condensate and Veneziano-Yankielowicz effective Lagrangian | 10 pages, LaTeX | null | null | RU-97-83, USITP-97-14 | hep-th | null | We study the sypersymmetric pure Yang-Mills theory with semisimple Lie
groups. We show that the general form of the gluino condensate is determined
solely by the symmetries of the theory and it is in disagreement with the
recently proposed existence of a conformal phase in SYM theory. We discuss the
peculiarities of the Veneziano-Yankielowicz effective Lagrangian approach and
explain how it is related to the calculation of the gluino condensate
| [
{
"created": "Wed, 15 Oct 1997 15:33:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schwetz",
"Myck",
"",
"Rutgers U."
],
[
"Zabzine",
"Maxim",
"",
"Stockholm U."
]
] | We study the sypersymmetric pure Yang-Mills theory with semisimple Lie groups. We show that the general form of the gluino condensate is determined solely by the symmetries of the theory and it is in disagreement with the recently proposed existence of a conformal phase in SYM theory. We discuss the peculiarities of the Veneziano-Yankielowicz effective Lagrangian approach and explain how it is related to the calculation of the gluino condensate |
hep-th/9511171 | Paul Aspinwall | Paul S. Aspinwall | Enhanced Gauge Symmetries and Calabi-Yau Threefolds | 11 pages, LaTeX | Phys.Lett. B371 (1996) 231-237 | 10.1016/0370-2693(96)00003-2 | CLNS-95/1375 | hep-th | null | We consider the general case of a type IIA string compactified on a
Calabi-Yau manifold which has a heterotic dual description. It is shown that
the nonabelian gauge symmetries which can appear nonperturbatively in the type
II string but which are understood perturbatively in the heterotic string are
purely a result of string-string duality in six dimensions. We illustrate this
with some examples.
| [
{
"created": "Thu, 23 Nov 1995 16:55:16 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Aspinwall",
"Paul S.",
""
]
] | We consider the general case of a type IIA string compactified on a Calabi-Yau manifold which has a heterotic dual description. It is shown that the nonabelian gauge symmetries which can appear nonperturbatively in the type II string but which are understood perturbatively in the heterotic string are purely a result of string-string duality in six dimensions. We illustrate this with some examples. |
hep-th/0103162 | Marika Taylor-Robinson | Marika Taylor-Robinson (DAMTP, University of Cambridge) | Anomalies, counterterms and the ${\cal N} =0$ Polchinski-Strassler
solutions | 38 pages, ReVTeX | null | null | null | hep-th | null | The singularity structure of many IIB supergravity solutions asymptotic to
$AdS_5 \times S^5$ becomes clearer when one considers the full ten dimensional
solution rather than the dimensionally reduced solution of gauged supergravity.
It has been shown that all divergences in the gravitational action of the
dimensionally reduced spacetime can be removed by the addition of local
counterterms on the boundary. Here we attempt to formulate the counterterm
action directly in ten dimensions for a particular class of solutions, the
${\cal N} = 0$ Polchinski-Strassler solutions, which are dual to an ${\cal N}
=4$ SYM theory perturbed by mass terms for all scalars and spinors. This
involves constructing the solution perturbatively near the boundary. There is a
contribution to the Weyl anomaly from the mass terms (which break the classical
conformal invariance of the action). The coefficient of this anomaly is
reproduced by a free field calculation indicating a non-renormalisation theorem
inherited from the ${\cal N} =4$ theory. We comment on the structure of the
full solutions and their construction from uplifting particular $ {\cal N} = 0$
flows in five dimensions.
| [
{
"created": "Tue, 20 Mar 2001 16:48:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Taylor-Robinson",
"Marika",
"",
"DAMTP, University of Cambridge"
]
] | The singularity structure of many IIB supergravity solutions asymptotic to $AdS_5 \times S^5$ becomes clearer when one considers the full ten dimensional solution rather than the dimensionally reduced solution of gauged supergravity. It has been shown that all divergences in the gravitational action of the dimensionally reduced spacetime can be removed by the addition of local counterterms on the boundary. Here we attempt to formulate the counterterm action directly in ten dimensions for a particular class of solutions, the ${\cal N} = 0$ Polchinski-Strassler solutions, which are dual to an ${\cal N} =4$ SYM theory perturbed by mass terms for all scalars and spinors. This involves constructing the solution perturbatively near the boundary. There is a contribution to the Weyl anomaly from the mass terms (which break the classical conformal invariance of the action). The coefficient of this anomaly is reproduced by a free field calculation indicating a non-renormalisation theorem inherited from the ${\cal N} =4$ theory. We comment on the structure of the full solutions and their construction from uplifting particular $ {\cal N} = 0$ flows in five dimensions. |
2003.13772 | Guillermo Arias-Tamargo | Guillermo Arias-Tamargo, Diego Rodriguez-Gomez, Jorge G. Russo | On the UV completion of the $O(N)$ model in $6-\epsilon$ dimensions: a
stable large-charge sector | 29 pages, 5 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study large charge sectors in the $O(N)$ model in $6-\epsilon $
dimensions. For $4<d<6$, in perturbation theory, the quartic $O(N)$ theory has
a UV stable fixed point at large $N$. It was recently argued that this fixed
point can be described in terms of an IR fixed point of a cubic $O(N)$ model.
By considering a double scaling limit of large charge and weak couplings, we
compute two-point and all "extremal" higher-point correlation functions for
large charge operators and find a precise equivalence between both pictures.
Instanton instabilities are found to be exponentially suppressed at large
charge. We also consider correlation function of $U(1)$-invariant meson
operators in the $O(2N)\supset U(1)\times SU(N)$ theory, as a first step
towards tests of (higher spin) $AdS/CFT$.
| [
{
"created": "Mon, 30 Mar 2020 19:39:57 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Apr 2020 11:14:39 GMT",
"version": "v2"
}
] | 2020-04-13 | [
[
"Arias-Tamargo",
"Guillermo",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We study large charge sectors in the $O(N)$ model in $6-\epsilon $ dimensions. For $4<d<6$, in perturbation theory, the quartic $O(N)$ theory has a UV stable fixed point at large $N$. It was recently argued that this fixed point can be described in terms of an IR fixed point of a cubic $O(N)$ model. By considering a double scaling limit of large charge and weak couplings, we compute two-point and all "extremal" higher-point correlation functions for large charge operators and find a precise equivalence between both pictures. Instanton instabilities are found to be exponentially suppressed at large charge. We also consider correlation function of $U(1)$-invariant meson operators in the $O(2N)\supset U(1)\times SU(N)$ theory, as a first step towards tests of (higher spin) $AdS/CFT$. |
1404.2573 | Leticia Faria Domingues Palhares | M. A. L. Capri, D. R. Granado, M. S. Guimaraes, I. F. Justo, L. F.
Palhares, S. P. Sorella, and D. Vercauteren | Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in
the Landau gauge | 19 pages, no figures | Eur. Phys. J. C (2014) 74:2961 | 10.1140/epjc/s10052-014-2961-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Gribov-Zwanziger framework accounting for the existence of Gribov copies
is extended to N=1 Super Yang--Mills theories quantized in the Landau gauge. We
show that the restriction of the domain of integration in the Euclidean
functional integral to the first Gribov horizon can be implemented in a way to
recover non-perturbative features of N=1 Super Yang--Mills theories, namely:
the existence of the gluino condensate as well as the vanishing of the vacuum
energy.
| [
{
"created": "Wed, 9 Apr 2014 18:46:45 GMT",
"version": "v1"
}
] | 2014-07-29 | [
[
"Capri",
"M. A. L.",
""
],
[
"Granado",
"D. R.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Justo",
"I. F.",
""
],
[
"Palhares",
"L. F.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Vercauteren",
"D.",
""
]
] | The Gribov-Zwanziger framework accounting for the existence of Gribov copies is extended to N=1 Super Yang--Mills theories quantized in the Landau gauge. We show that the restriction of the domain of integration in the Euclidean functional integral to the first Gribov horizon can be implemented in a way to recover non-perturbative features of N=1 Super Yang--Mills theories, namely: the existence of the gluino condensate as well as the vanishing of the vacuum energy. |
hep-th/9206091 | null | H. Itoyama | Integrable Superhierarchy of Discretized 2d Supergravity | 10 pages, Latex | Phys.Lett. B299 (1993) 64-71 | 10.1016/0370-2693(93)90884-K | ITP-SB-92-33 | hep-th | null | The hierarchical nonlinear super-differential equations are identified which
describe universal behavior of the discretized model of $2d$ supergravity
recently proposed. This is done by first taking a double scaling limit of the
super Virasoro constraints ( at finite $N$) of the model and by rederiving it
from the $\tilde{G}_{-1/2}$ constraint and the two reduction of the super KP
hierarchy discussed. The double-scaled constraints are found to be described by
a twisted scalar and a Ramond fermion.
| [
{
"created": "Wed, 24 Jun 1992 15:34:13 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Itoyama",
"H.",
""
]
] | The hierarchical nonlinear super-differential equations are identified which describe universal behavior of the discretized model of $2d$ supergravity recently proposed. This is done by first taking a double scaling limit of the super Virasoro constraints ( at finite $N$) of the model and by rederiving it from the $\tilde{G}_{-1/2}$ constraint and the two reduction of the super KP hierarchy discussed. The double-scaled constraints are found to be described by a twisted scalar and a Ramond fermion. |
2112.08271 | Renato Gomes Ferreira Souza | Renato G. F. Souza | Large scalar gaps in 2D CFTs with generalized polynomials | 16 pages, 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analytic way of writing simple crossing symmetric expressions
and use them to search for unitary 4-point functions in 2D CFTs. We've applied
our method for a class of functions we called generalized polynomials to
achieve large gaps for operators with integer scaling dimension less or equal
to 18.
| [
{
"created": "Wed, 15 Dec 2021 17:06:48 GMT",
"version": "v1"
}
] | 2021-12-16 | [
[
"Souza",
"Renato G. F.",
""
]
] | We present an analytic way of writing simple crossing symmetric expressions and use them to search for unitary 4-point functions in 2D CFTs. We've applied our method for a class of functions we called generalized polynomials to achieve large gaps for operators with integer scaling dimension less or equal to 18. |
1607.07807 | Stefan Mladenov | Hristo Dimov, Stefan Mladenov, Radoslav C. Rashkov, Tsvetan Vetsov | Entanglement of higher-derivative oscillators in holographic systems | 20 pages, 1 figure; v2: new section added highlighting the appearance
of higher-derivative oscillators in holographic systems; v3: an additional
example of holographic system added and title changed | null | 10.1016/j.nuclphysb.2017.03.005 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the quantum entanglement of coupled Pais-Uhlenbeck oscillators using
the formalism of thermo-field dynamics. The entanglement entropy is computed
for the specific cases of two and a ring of $N$ coupled Pais-Uhlenbeck
oscillators of fourth order. It is shown that the entanglement entropy depends
on the temperatures, frequencies and coupling parameters of the different
degrees of freedom corresponding to harmonic oscillators. We also make remarks
on the appearance of instabilities of higher-derivative oscillators in the
context of AdS/CFT correspondence. Finally, we advert to the information
geometry theory by calculating the Fisher information metric for the considered
system of coupled oscillators.
| [
{
"created": "Tue, 26 Jul 2016 17:09:38 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Oct 2016 16:44:48 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 2016 12:42:51 GMT",
"version": "v3"
}
] | 2017-04-26 | [
[
"Dimov",
"Hristo",
""
],
[
"Mladenov",
"Stefan",
""
],
[
"Rashkov",
"Radoslav C.",
""
],
[
"Vetsov",
"Tsvetan",
""
]
] | We study the quantum entanglement of coupled Pais-Uhlenbeck oscillators using the formalism of thermo-field dynamics. The entanglement entropy is computed for the specific cases of two and a ring of $N$ coupled Pais-Uhlenbeck oscillators of fourth order. It is shown that the entanglement entropy depends on the temperatures, frequencies and coupling parameters of the different degrees of freedom corresponding to harmonic oscillators. We also make remarks on the appearance of instabilities of higher-derivative oscillators in the context of AdS/CFT correspondence. Finally, we advert to the information geometry theory by calculating the Fisher information metric for the considered system of coupled oscillators. |
1109.5883 | Yu Nakayama | Yu Nakayama | Comments on scale invariant but non-conformal supersymmetric field
theories | 6 pages | null | 10.1142/S0217751X12501229 | IPMU11-0163 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a possibility of scale invariant but non-conformal
supersymmetric field theories from a perturbative approach. The explicit
existence of monotonically decreasing a-function that generates beta-functions
as a gradient flow provides a strong obstruction for such a possibility at
two-loop order. We comment on the "discovery" of scale invariant but
non-conformal renormalization group trajectories via a "change of scheme" in
(4-\epsilon) dimension proposed in literatures.
| [
{
"created": "Tue, 27 Sep 2011 13:28:08 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Nakayama",
"Yu",
""
]
] | We investigate a possibility of scale invariant but non-conformal supersymmetric field theories from a perturbative approach. The explicit existence of monotonically decreasing a-function that generates beta-functions as a gradient flow provides a strong obstruction for such a possibility at two-loop order. We comment on the "discovery" of scale invariant but non-conformal renormalization group trajectories via a "change of scheme" in (4-\epsilon) dimension proposed in literatures. |
0810.5509 | Raffaele Marotta | P. Di Vecchia, A. Liccardo, R. Marotta and F. Pezzella | Kaehler Metrics and Yukawa Couplings in Magnetized Brane Models | 33 pages, minor corrections | JHEP 0903:029,2009 | 10.1088/1126-6708/2009/03/029 | DSF-25-2008, NORDITA-2008-47 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the field theoretical approach introduced by Cremades, Ibanez and
Marchesano for describing open strings attached to D9 branes having different
magnetizations, we give a procedure for determining the Kaehler metrics of
those open strings in toroidal compactifications.
| [
{
"created": "Thu, 30 Oct 2008 15:54:20 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2008 17:27:17 GMT",
"version": "v2"
}
] | 2009-03-27 | [
[
"Di Vecchia",
"P.",
""
],
[
"Liccardo",
"A.",
""
],
[
"Marotta",
"R.",
""
],
[
"Pezzella",
"F.",
""
]
] | Using the field theoretical approach introduced by Cremades, Ibanez and Marchesano for describing open strings attached to D9 branes having different magnetizations, we give a procedure for determining the Kaehler metrics of those open strings in toroidal compactifications. |
2004.03024 | Samson Shatashvili | Anton Alekseev and Samson L. Shatashvili | Characters, Coadjoint Orbits and Duistermaat-Heckman Integrals | 27 pages, new material is added, references added | null | 10.1016/j.geomphys.2021.104386 | null | hep-th math.QA math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The asymptotics of characters $\chi_{k\lambda}(\exp(h/k))$ of irreducible
representations of a compact Lie group $G$ for large values of the scaling
factor $k$ are given by Duistermaat-Heckman (DH) integrals over coadjoint
orbits of $G$. This phenomenon generalises to coadjoint orbits of central
extensions of loop groups $\widehat{LG}$ and of diffeomorphisms of the circle
$\widehat{\rm Diff}(S^1)$. We show that the asymptotics of characters of
integrable modules of affine Kac-Moody algebras and of the Virasoro algebra
factorize into a divergent contribution of the standard form and a convergent
contribution which can be interpreted as a formal DH orbital integral.
For some Virasoro modules, our results match the formal DH integrals recently
computed by Stanford and Witten. In this case, the $k$-scaling has the same
origin as the one which gives rise to classical conformal blocks. Furthermore,
we consider reduced spaces of Virasoro coadjoint orbits and we suggest a new
invariant which replaces symplectic volume in the infinite dimensional
situation. We also consider other modules of the Virasoro algebra (in
particular, the modules corresponding to minimal models) and we obtain DH-type
expressions which do not correspond to any Virasoro coadjoint orbits.
We study volume functions $V(x)$ corresponding to formal DH integrals over
coadjoint orbits of the Virasoro algebra. We show that they are related by the
Hankel transform to spectral densities $\rho(E)$ recently studied by Saad,
Shenker and Stanford.
| [
{
"created": "Mon, 6 Apr 2020 22:27:04 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2020 23:19:12 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"Alekseev",
"Anton",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | The asymptotics of characters $\chi_{k\lambda}(\exp(h/k))$ of irreducible representations of a compact Lie group $G$ for large values of the scaling factor $k$ are given by Duistermaat-Heckman (DH) integrals over coadjoint orbits of $G$. This phenomenon generalises to coadjoint orbits of central extensions of loop groups $\widehat{LG}$ and of diffeomorphisms of the circle $\widehat{\rm Diff}(S^1)$. We show that the asymptotics of characters of integrable modules of affine Kac-Moody algebras and of the Virasoro algebra factorize into a divergent contribution of the standard form and a convergent contribution which can be interpreted as a formal DH orbital integral. For some Virasoro modules, our results match the formal DH integrals recently computed by Stanford and Witten. In this case, the $k$-scaling has the same origin as the one which gives rise to classical conformal blocks. Furthermore, we consider reduced spaces of Virasoro coadjoint orbits and we suggest a new invariant which replaces symplectic volume in the infinite dimensional situation. We also consider other modules of the Virasoro algebra (in particular, the modules corresponding to minimal models) and we obtain DH-type expressions which do not correspond to any Virasoro coadjoint orbits. We study volume functions $V(x)$ corresponding to formal DH integrals over coadjoint orbits of the Virasoro algebra. We show that they are related by the Hankel transform to spectral densities $\rho(E)$ recently studied by Saad, Shenker and Stanford. |
2407.05985 | Emil Have | Jelle Hartong, Emil Have | Non-relativistic expansion of open strings and D-branes | 46 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We expand the relativistic open bosonic string in powers of $1/c^2$ where $c$
is the speed of light. We perform this expansion to next-to-leading order in
$1/c^2$ and relate our results to known descriptions of non-relativistic open
strings obtained by taking limits. Just as for closed strings the
non-relativistic expansion is well-defined if the open string winds a circle in
the target space. This direction must satisfy Dirichlet boundary conditions. It
is shown that the endpoints of the open string behave as Bargmann particles in
the non-relativistic regime. These open strings end on nrD$p$-branes with $p\le
24$. When these nrD$p$-branes do not fluctuate they correspond to
$(p+1)$-dimensional Newton--Cartan submanifolds of the target space. When we
include fluctuations and worldvolume gauge fields their dynamics is described
by a non-relativistic version of the DBI action whose form we derive from
symmetry considerations. The worldvolume gauge field and scalar field of a
nrD$24$-brane make up the field content of Galilean electrodynamics (GED), and
the effective theory on the nrD$24$-brane is precisely a non-linear version of
GED. We generalise these results to actions for any nrD$p$-brane by demanding
that they have the same target space gauge symmetries that the non-relativistic
open and closed string actions have. Finally, we show that the nrD$p$-brane
action is transverse T-duality covariant. Our results agree with the findings
of Gomis, Yan and Yu in arXiv:2007.01886.
| [
{
"created": "Mon, 8 Jul 2024 14:25:52 GMT",
"version": "v1"
}
] | 2024-07-09 | [
[
"Hartong",
"Jelle",
""
],
[
"Have",
"Emil",
""
]
] | We expand the relativistic open bosonic string in powers of $1/c^2$ where $c$ is the speed of light. We perform this expansion to next-to-leading order in $1/c^2$ and relate our results to known descriptions of non-relativistic open strings obtained by taking limits. Just as for closed strings the non-relativistic expansion is well-defined if the open string winds a circle in the target space. This direction must satisfy Dirichlet boundary conditions. It is shown that the endpoints of the open string behave as Bargmann particles in the non-relativistic regime. These open strings end on nrD$p$-branes with $p\le 24$. When these nrD$p$-branes do not fluctuate they correspond to $(p+1)$-dimensional Newton--Cartan submanifolds of the target space. When we include fluctuations and worldvolume gauge fields their dynamics is described by a non-relativistic version of the DBI action whose form we derive from symmetry considerations. The worldvolume gauge field and scalar field of a nrD$24$-brane make up the field content of Galilean electrodynamics (GED), and the effective theory on the nrD$24$-brane is precisely a non-linear version of GED. We generalise these results to actions for any nrD$p$-brane by demanding that they have the same target space gauge symmetries that the non-relativistic open and closed string actions have. Finally, we show that the nrD$p$-brane action is transverse T-duality covariant. Our results agree with the findings of Gomis, Yan and Yu in arXiv:2007.01886. |
hep-th/0310293 | Maurizio Gasperini | M. Gasperini | Late-time effects of Planck-scale cosmology: dilatonic interpretation of
the dark energy field | 8 pages, latex, 4 figures included using epsf | null | 10.1142/9789812702999_0018 | BA-TH/03-473 | hep-th astro-ph gr-qc | null | We present a model of dark energy based on the string effective action, and
on the assumption that the dilaton is strongly coupled to dark matter. We
discuss the main differences between this class of models and more conventional
models of quintessence,uncoupled to dark matter. This paper is based on talks
presented at the "VII Congresso Nazionale di Cosmologia" (Osservatorio
Astronomico di Roma, Monte Porzio Catone, November 2002), and at the Meeting
"Dark Energy Day" (University of Milano-Bicocca, November 2002). To appear in
the Proc. of the International Conference on ``Thinking, Observing and Mining
the Universe" (Sorrento, September 2003), eds. G. Longo and G. Miele (World
Scientific, Singapore).
| [
{
"created": "Fri, 31 Oct 2003 14:06:12 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Gasperini",
"M.",
""
]
] | We present a model of dark energy based on the string effective action, and on the assumption that the dilaton is strongly coupled to dark matter. We discuss the main differences between this class of models and more conventional models of quintessence,uncoupled to dark matter. This paper is based on talks presented at the "VII Congresso Nazionale di Cosmologia" (Osservatorio Astronomico di Roma, Monte Porzio Catone, November 2002), and at the Meeting "Dark Energy Day" (University of Milano-Bicocca, November 2002). To appear in the Proc. of the International Conference on ``Thinking, Observing and Mining the Universe" (Sorrento, September 2003), eds. G. Longo and G. Miele (World Scientific, Singapore). |
1003.5037 | Yun Soo Myung | Yun Soo Myung | Does entropic force always imply the Newtonian force law? | 11 pages, version to appear in EPJC | Eur.Phys.J.C71:1549,2011 | 10.1140/epjc/s10052-011-1549-x | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the entropic force by introducing a bound $S \le A^{3/4}$ between
entropy and area which was derived by imposing the non-gravitational collapse
condition. In this case, applying a modified entropic force to this system does
not lead to the Newtonian force law.
| [
{
"created": "Fri, 26 Mar 2010 05:01:48 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2011 07:55:38 GMT",
"version": "v2"
}
] | 2011-03-03 | [
[
"Myung",
"Yun Soo",
""
]
] | We study the entropic force by introducing a bound $S \le A^{3/4}$ between entropy and area which was derived by imposing the non-gravitational collapse condition. In this case, applying a modified entropic force to this system does not lead to the Newtonian force law. |
2007.08981 | Pierre Vanhove | Pierre Vanhove and Federico Zerbini | Building blocks of closed and open string amplitudes | 27 pages, 4 figures. Contribution the proceedings of
"Mathemamplitudes", held in Padova in December 2019. v2: minor corrections | null | null | IPHT-t20/046 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this text we review various relations between building blocks of closed
and open string amplitudes at tree-level and genus one. We explain that KLT
relations between tree-level closed and open string amplitudes follow from the
holomorphic factorisation of conformal correlation functions on conformal
blocks. We give a simple hands-on evaluation of the $\alpha'$-expansion of
tree-level closed string amplitudes displaying the special single-valued nature
of the coefficients. We show that the same techniques can be used also at
genus-one, where we give a new proof of the single-valued nature of the
coefficients of 2-point closed string amplitudes. We conclude by giving an
overview of some open problems.
| [
{
"created": "Fri, 17 Jul 2020 13:49:37 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2021 19:00:45 GMT",
"version": "v2"
}
] | 2021-01-22 | [
[
"Vanhove",
"Pierre",
""
],
[
"Zerbini",
"Federico",
""
]
] | In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the holomorphic factorisation of conformal correlation functions on conformal blocks. We give a simple hands-on evaluation of the $\alpha'$-expansion of tree-level closed string amplitudes displaying the special single-valued nature of the coefficients. We show that the same techniques can be used also at genus-one, where we give a new proof of the single-valued nature of the coefficients of 2-point closed string amplitudes. We conclude by giving an overview of some open problems. |
hep-th/0509221 | Assaf Patir | Ofer Aharony and Assaf Patir | The Conformal Limit of the 0A Matrix Model and String Theory on AdS(2) | 17 pages, 1 figure | JHEP 0511:052,2005 | 10.1088/1126-6708/2005/11/052 | WIS/22/05-SEP-DPP | hep-th | null | We analyze the conformal limit of the matrix model describing flux
backgrounds of two dimensional type 0A string theory. This limit is believed to
be dual to an AdS(2) background of type 0A string theory. We show that the
spectrum of this limit is identical to that of a free fermion on AdS(2),
suggesting that there are no closed string excitations in this background.
| [
{
"created": "Thu, 29 Sep 2005 13:53:43 GMT",
"version": "v1"
}
] | 2009-09-29 | [
[
"Aharony",
"Ofer",
""
],
[
"Patir",
"Assaf",
""
]
] | We analyze the conformal limit of the matrix model describing flux backgrounds of two dimensional type 0A string theory. This limit is believed to be dual to an AdS(2) background of type 0A string theory. We show that the spectrum of this limit is identical to that of a free fermion on AdS(2), suggesting that there are no closed string excitations in this background. |
hep-th/9605044 | null | D.V.Antonov (ITEP, Moscow) | A new approach to perturbative theory in the nonperturbative QCD vacuum | 18 pages | Phys.Atom.Nucl. 60 (1997) 299-306; Yad.Fiz. 60N2 (1997) 365-373 | null | null | hep-th | null | Using stochastic quantization method we derive gauge-invariant equations,
connecting multilocal vacuum correlators of nonperturbative field
configurations immersed into the quantum background. Three alternative methods
of stochastic regularization of these equations are suggested, and the
corresponding regularized propagators of a background field are obtained in the
lowest order of perturbation theory.
| [
{
"created": "Tue, 7 May 1996 17:58:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Antonov",
"D. V.",
"",
"ITEP, Moscow"
]
] | Using stochastic quantization method we derive gauge-invariant equations, connecting multilocal vacuum correlators of nonperturbative field configurations immersed into the quantum background. Three alternative methods of stochastic regularization of these equations are suggested, and the corresponding regularized propagators of a background field are obtained in the lowest order of perturbation theory. |
2110.08179 | Alexandros Spyridon Arvanitakis | Alex S. Arvanitakis, Chris D. A. Blair, Daniel C. Thompson | A QP perspective on topology change in Poisson-Lie T-duality | 40 pages. v2: references added | null | null | null | hep-th math-ph math.DG math.MP math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe topological T-duality and Poisson-Lie T-duality in terms of QP
(differential graded symplectic) manifolds and their canonical transformations.
Duality is mediated by a QP-manifold on doubled non-abelian "correspondence"
space, from which we can perform mutually dual symplectic reductions, where
certain canonical transformations play a vital role. In the presence of
spectator coordinates, we show how the introduction of "bibundle" structure on
correspondence space realises changes in the global fibration structure under
Poisson-Lie duality. Our approach can be directly translated to the worldsheet
to derive dual string current algebras. Finally, the canonical transformations
appearing in our reduction procedure naturally suggest a Fourier-Mukai integral
transformation for Poisson-Lie T-duality.
| [
{
"created": "Fri, 15 Oct 2021 16:11:56 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 13:24:31 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"Arvanitakis",
"Alex S.",
""
],
[
"Blair",
"Chris D. A.",
""
],
[
"Thompson",
"Daniel C.",
""
]
] | We describe topological T-duality and Poisson-Lie T-duality in terms of QP (differential graded symplectic) manifolds and their canonical transformations. Duality is mediated by a QP-manifold on doubled non-abelian "correspondence" space, from which we can perform mutually dual symplectic reductions, where certain canonical transformations play a vital role. In the presence of spectator coordinates, we show how the introduction of "bibundle" structure on correspondence space realises changes in the global fibration structure under Poisson-Lie duality. Our approach can be directly translated to the worldsheet to derive dual string current algebras. Finally, the canonical transformations appearing in our reduction procedure naturally suggest a Fourier-Mukai integral transformation for Poisson-Lie T-duality. |
0808.3664 | Bin Chen | Bin Chen and Xiao Liu | Tiny Graviton Matrix Theory On Time-Dependent Background | 20 pages and 4 figures; published version, with more clarifications | null | 10.1016/j.nuclphysb.2008.11.028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we construct a tiny graviton matrix model for type IIB string
theory on a plane-wave background with null dilaton. For the linear null
dilaton case, we analyze its vacuum and the excitation spectrum around the
vacuum, and discuss the time-dependent fuzzy three-sphere solutions and their
evolution. It turns out that at very late time the non-Abelian fuzzy degrees of
freedom disappear, which indicates the appearance of perturbative strings.
| [
{
"created": "Wed, 27 Aug 2008 09:41:06 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2008 09:58:18 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Dec 2008 08:33:53 GMT",
"version": "v3"
}
] | 2009-11-13 | [
[
"Chen",
"Bin",
""
],
[
"Liu",
"Xiao",
""
]
] | In this article we construct a tiny graviton matrix model for type IIB string theory on a plane-wave background with null dilaton. For the linear null dilaton case, we analyze its vacuum and the excitation spectrum around the vacuum, and discuss the time-dependent fuzzy three-sphere solutions and their evolution. It turns out that at very late time the non-Abelian fuzzy degrees of freedom disappear, which indicates the appearance of perturbative strings. |
2305.05689 | Jonathan Heckman | Markus Dierigl, Jonathan J. Heckman, Miguel Montero, and Ethan Torres | R7-Branes as Charge Conjugation Operators | v2: 18 pages + refs, 3 figures, typos corrected, clarifications added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | R7-branes are a class of recently discovered non-supersymmetric real
codimension-two duality defects in type IIB string theory predicted by the
Swampland Cobordism Conjecture. For type IIB realizations of 6D SCFTs with
$\mathcal{N} = (2,0)$ supersymmetry, wrapping an R7-brane "at infinity" leads
to a topological operator associated with a zero-form charge conjugation
symmetry that squares to the identity. Similar considerations hold for those
theories obtained from further toroidal compactification, but this can be
obstructed by bundle curvature effects. Using some minimal data on the
topological sector of the R7-branes, we extract the associated fusion rules for
these charge conjugation operators. More broadly, we sketch a top down
realization of various topological operators / interfaces associated with
$\mathsf{C}$, $\mathsf{R}$, and $\mathsf{T}$ transformations. We also use
holography to provide strong evidence for the existence of the R7-brane which
is complementary to the Cobordism Conjecture. Similar considerations apply to
other string-realized QFTs with symmetry operators constructed via
non-supersymmetric branes which carry a conserved charge.
| [
{
"created": "Tue, 9 May 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Apr 2024 00:03:52 GMT",
"version": "v2"
}
] | 2024-04-16 | [
[
"Dierigl",
"Markus",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Montero",
"Miguel",
""
],
[
"Torres",
"Ethan",
""
]
] | R7-branes are a class of recently discovered non-supersymmetric real codimension-two duality defects in type IIB string theory predicted by the Swampland Cobordism Conjecture. For type IIB realizations of 6D SCFTs with $\mathcal{N} = (2,0)$ supersymmetry, wrapping an R7-brane "at infinity" leads to a topological operator associated with a zero-form charge conjugation symmetry that squares to the identity. Similar considerations hold for those theories obtained from further toroidal compactification, but this can be obstructed by bundle curvature effects. Using some minimal data on the topological sector of the R7-branes, we extract the associated fusion rules for these charge conjugation operators. More broadly, we sketch a top down realization of various topological operators / interfaces associated with $\mathsf{C}$, $\mathsf{R}$, and $\mathsf{T}$ transformations. We also use holography to provide strong evidence for the existence of the R7-brane which is complementary to the Cobordism Conjecture. Similar considerations apply to other string-realized QFTs with symmetry operators constructed via non-supersymmetric branes which carry a conserved charge. |
1304.2978 | Chih-Hao Fu | Yi-Jian Du, Bo Feng, Chih-Hao Fu | The Construction of Dual-trace Factor in Yang-Mills Theory | 33 pages, 2 figures; typos fixed, text corrections included, to
appear in JHEP | null | 10.1007/JHEP07(2013)057 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a BCJ dual of the color-ordered formula for Yang-Mills amplitude
was proposed, where the dual-trace factor satisfies cyclic symmetry and
KK-relation. In this paper, we present a systematic construction of the
dual-trace factor based on its proposed relations to kinematic numerators in
dual-DDM form. We show that the construction presented respects relabeling
symmetry. In addition, we show that using relabeling symmetry as conditions,
the same construction can be solved independently.
| [
{
"created": "Wed, 10 Apr 2013 14:42:24 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2013 15:33:21 GMT",
"version": "v2"
}
] | 2021-01-13 | [
[
"Du",
"Yi-Jian",
""
],
[
"Feng",
"Bo",
""
],
[
"Fu",
"Chih-Hao",
""
]
] | Recently, a BCJ dual of the color-ordered formula for Yang-Mills amplitude was proposed, where the dual-trace factor satisfies cyclic symmetry and KK-relation. In this paper, we present a systematic construction of the dual-trace factor based on its proposed relations to kinematic numerators in dual-DDM form. We show that the construction presented respects relabeling symmetry. In addition, we show that using relabeling symmetry as conditions, the same construction can be solved independently. |
hep-th/9407110 | A. Sudbery | A.Sudbery | The quantum orthogonal mystery | 15 pages, Latex | null | null | null | hep-th | null | This is (hopefully) a Latexable version of a talk given at the XXX Winter
School in Theoretical Physics at Karpacz in February 1994. It discusses the use
of non-commutative differential calculus to construct a Lie algebra of a
quantum group. Usually the result has a different dimension from the classical
Lie algebra. This is illustrated by menas of the orthogonal quantum group, and
various other possible ways of constructing an orthogonal Lie algebra are
described.
| [
{
"created": "Mon, 18 Jul 1994 19:09:04 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 1994 16:10:45 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Sudbery",
"A.",
""
]
] | This is (hopefully) a Latexable version of a talk given at the XXX Winter School in Theoretical Physics at Karpacz in February 1994. It discusses the use of non-commutative differential calculus to construct a Lie algebra of a quantum group. Usually the result has a different dimension from the classical Lie algebra. This is illustrated by menas of the orthogonal quantum group, and various other possible ways of constructing an orthogonal Lie algebra are described. |
1203.4573 | Dan Xie | Dan Xie | Network, Cluster coordinates and N=2 theory I | The view on non-minimal network is changed, and we clarify the
dependence on the cyclic choices of the path in the triangulation | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Combinatorial methods are developed to find the cluster coordinates for
moduli space of flat connections which is describing the Coulomb branch of
higher rank N=2 theories derived by compactifying six dimensional (2,0) theory
on a punctured Riemann surface. The construction starts with a triangulation of
the punctured Riemann surface and a further tessellation of all the triangles.
The tessellation is used to construct a bipartite network from which a quiver
can be read straightforwardly. We prove that the quivers for different
triangulations are related by quiver mutations and justify that these are
really the cluster coordinates. These coordinates are important in studying BPS
wall crossing, line operators, and surface operators of these theories; and
they are also useful in exploring three dimensional Chern-Simons theory and the
corresponding N=2 gauge theory, two dimensional integrable system, etc.}
| [
{
"created": "Tue, 20 Mar 2012 20:05:01 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2012 05:04:00 GMT",
"version": "v2"
}
] | 2012-07-18 | [
[
"Xie",
"Dan",
""
]
] | Combinatorial methods are developed to find the cluster coordinates for moduli space of flat connections which is describing the Coulomb branch of higher rank N=2 theories derived by compactifying six dimensional (2,0) theory on a punctured Riemann surface. The construction starts with a triangulation of the punctured Riemann surface and a further tessellation of all the triangles. The tessellation is used to construct a bipartite network from which a quiver can be read straightforwardly. We prove that the quivers for different triangulations are related by quiver mutations and justify that these are really the cluster coordinates. These coordinates are important in studying BPS wall crossing, line operators, and surface operators of these theories; and they are also useful in exploring three dimensional Chern-Simons theory and the corresponding N=2 gauge theory, two dimensional integrable system, etc.} |
hep-th/9701157 | Physics Department | S. Deser (Brandeis University) | Black Hole Electromagnetic Duality | 9 pages, aipproc.sty, Lecture at I Latin American Symposium on High
Energy Physics, Merida, Mexico, Nov. 5, 1996 | AIP Conf.Proc.400:437,1997 | 10.1063/1.53263 | BRX TH-403 | hep-th gr-qc | null | After defining the concept of duality in the context of general $n$-form
abelian gauge fields in 2$n$ dimensions, we show by explicit example the
difference between apparent but unrealizable duality transformations, namely
those in $D=4k+2$, and those, in $D=4k$, that can be implemented by explicit
dynamical generators. We then consider duality transformations in Maxwell
theory in the presence of gravitation, particularly electrically and
magnetically charged black hole geometries. By comparing actions in which both
the dynamical variables and the charge parameters are "rotated," we show their
equality for equally charged electric and magnetic black holes, thus
establishing their equivalence for semiclassical processes which depend on the
value of the action itself.
| [
{
"created": "Tue, 28 Jan 1997 18:56:39 GMT",
"version": "v1"
}
] | 2010-12-13 | [
[
"Deser",
"S.",
"",
"Brandeis University"
]
] | After defining the concept of duality in the context of general $n$-form abelian gauge fields in 2$n$ dimensions, we show by explicit example the difference between apparent but unrealizable duality transformations, namely those in $D=4k+2$, and those, in $D=4k$, that can be implemented by explicit dynamical generators. We then consider duality transformations in Maxwell theory in the presence of gravitation, particularly electrically and magnetically charged black hole geometries. By comparing actions in which both the dynamical variables and the charge parameters are "rotated," we show their equality for equally charged electric and magnetic black holes, thus establishing their equivalence for semiclassical processes which depend on the value of the action itself. |
1106.3785 | Mads Sogaard | Mads Sogaard | Supersums for all supersymmetric amplitudes | 13 pages, 5 figures; v2: typos corrected, references added | Phys.Rev.D84:065011,2011 | 10.1103/PhysRevD.84.065011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an on-shell graphical framework for superamplitudes in super
Yang-Mills theory with arbitrary supersymmetry. Our diagrammatic procedure is
derived through manipulations of the full N = 4 superamplitude and illustrated
by a number of explicit examples.
| [
{
"created": "Sun, 19 Jun 2011 22:02:33 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2011 13:23:54 GMT",
"version": "v2"
}
] | 2011-09-27 | [
[
"Sogaard",
"Mads",
""
]
] | We present an on-shell graphical framework for superamplitudes in super Yang-Mills theory with arbitrary supersymmetry. Our diagrammatic procedure is derived through manipulations of the full N = 4 superamplitude and illustrated by a number of explicit examples. |
hep-th/0005277 | Ryu Sasaki | S.P. Khastgir, A.J. Pocklington and R. Sasaki | Quantum Calogero-Moser Models: Integrability for all Root Systems | 45 pages, LaTeX2e, no figures | J.Phys.A33:9033-9064,2000 | 10.1088/0305-4470/33/49/303 | YITP-00-24 | hep-th cond-mat math-ph math.MP nlin.SI quant-ph | null | The issues related to the integrability of quantum Calogero-Moser models
based on any root systems are addressed. For the models with degenerate
potentials, i.e. the rational with/without the harmonic confining force, the
hyperbolic and the trigonometric, we demonstrate the following for all the root
systems: (i) Construction of a complete set of quantum conserved quantities in
terms of a total sum of the Lax matrix (L), i.e. (\sum_{\mu,\nu\in{\cal
R}}(L^n)_{\mu\nu}), in which ({\cal R}) is a representation space of the
Coxeter group. (ii) Proof of Liouville integrability. (iii) Triangularity of
the quantum Hamiltonian and the entire discrete spectrum. Generalised Jack
polynomials are defined for all root systems as unique eigenfunctions of the
Hamiltonian. (iv) Equivalence of the Lax operator and the Dunkl operator. (v)
Algebraic construction of all excited states in terms of creation operators.
These are mainly generalisations of the results known for the models based on
the (A) series, i.e. (su(N)) type, root systems.
| [
{
"created": "Tue, 30 May 2000 10:14:24 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Khastgir",
"S. P.",
""
],
[
"Pocklington",
"A. J.",
""
],
[
"Sasaki",
"R.",
""
]
] | The issues related to the integrability of quantum Calogero-Moser models based on any root systems are addressed. For the models with degenerate potentials, i.e. the rational with/without the harmonic confining force, the hyperbolic and the trigonometric, we demonstrate the following for all the root systems: (i) Construction of a complete set of quantum conserved quantities in terms of a total sum of the Lax matrix (L), i.e. (\sum_{\mu,\nu\in{\cal R}}(L^n)_{\mu\nu}), in which ({\cal R}) is a representation space of the Coxeter group. (ii) Proof of Liouville integrability. (iii) Triangularity of the quantum Hamiltonian and the entire discrete spectrum. Generalised Jack polynomials are defined for all root systems as unique eigenfunctions of the Hamiltonian. (iv) Equivalence of the Lax operator and the Dunkl operator. (v) Algebraic construction of all excited states in terms of creation operators. These are mainly generalisations of the results known for the models based on the (A) series, i.e. (su(N)) type, root systems. |
1505.06045 | Rudra Prakash Malik | S. Krishna, D. Shukla, R. P. Malik | Novel symmetries in an interacting N = 2 supersymmetric quantum
mechanical model | LaTeX file, 22 pages, version to appear in IJMPA | Int. J. Mod. Phys. A 31: 1650113 [p01--p23], 2016 | 10.1142/S0217751X1650113X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate the existence of a set of novel discrete symmetry
transformations in the case of an interacting N = 2 supersymmetric quantum
mechanical model of a system of an electron moving on a sphere in the
background of a magnetic monopole and establish its interpretation in the
language of differential geometry. These discrete symmetries are, over and
above, the usual three continuous symmetries of the theory which together
provide the physical realizations of the de Rham cohomological operators of
differential geometry. We derive the nilpotent N = 2 SUSY transformations by
exploiting our idea of supervariable approach and provide geometrical meaning
to these transformations in the language of Grassmannian translational
generators on a (1, 2)-dimensional supermanifold on which our N = 2 SUSY
quantum mechanical model is generalized. We express the conserved supercharges
and the invariance of the Lagrangian in terms of the supervariables (obtained
after the imposition of the SUSY invariant restrictions) and provide the
geometrical meaning to (i) the nilpotency property of the N = 2 supercharges,
and (ii) the SUSY invariance of the Lagrangian of our N = 2 SUSY theory.
| [
{
"created": "Fri, 22 May 2015 12:26:53 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2016 05:37:12 GMT",
"version": "v2"
}
] | 2016-07-05 | [
[
"Krishna",
"S.",
""
],
[
"Shukla",
"D.",
""
],
[
"Malik",
"R. P.",
""
]
] | We demonstrate the existence of a set of novel discrete symmetry transformations in the case of an interacting N = 2 supersymmetric quantum mechanical model of a system of an electron moving on a sphere in the background of a magnetic monopole and establish its interpretation in the language of differential geometry. These discrete symmetries are, over and above, the usual three continuous symmetries of the theory which together provide the physical realizations of the de Rham cohomological operators of differential geometry. We derive the nilpotent N = 2 SUSY transformations by exploiting our idea of supervariable approach and provide geometrical meaning to these transformations in the language of Grassmannian translational generators on a (1, 2)-dimensional supermanifold on which our N = 2 SUSY quantum mechanical model is generalized. We express the conserved supercharges and the invariance of the Lagrangian in terms of the supervariables (obtained after the imposition of the SUSY invariant restrictions) and provide the geometrical meaning to (i) the nilpotency property of the N = 2 supercharges, and (ii) the SUSY invariance of the Lagrangian of our N = 2 SUSY theory. |
0911.0659 | Bogdan Georgiev Dimitrov | Bogdan G. Dimitrov (Bogoliubov Laboratory of Theoretical Physics,
Joint Institute for Nuclear Research, Dubna, Russian Federation) | Algebraic Geometry Approach in Gravity Theory and New Relations between
the Parameters in Type I Low-Energy String Theory Action in Theories with
Extra Dimensions | 4 pages; no figures; Talk at the Grassmannian Conference in
Fundamental Cosmology "Grasscosmofun'09" (14-19 September 2009, University of
Szczecin, Poland); prepared for the Proceedings of the Conference, which will
appear in a special issue of the journal "Annalen der Physik" (Leipzig);
"Ann.der Phys." style files used | Annalen Phys.19:254-257,2010 | 10.1002/andp.201010422 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | On the base of the distinction between covariant and contravariant metric
tensor components, a new (multivariable) cubic algebraic equation for
reparametrization invariance of the gravitational Lagrangian has been derived
and parametrized with complicated non - elliptic functions, depending on the
(elliptic) Weierstrass function and its derivative. This is different from
standard algebraic geometry, where only two-dimensional cubic equations are
parametrized with elliptic functions and not multivariable ones.
Physical applications of the approach have been considered in reference to
theories with extra dimensions. The s.c. "length function" l(x) has been
introduced and found as a solution of quasilinear differential equations in
partial derivatives for two different cases of "compactification + rescaling"
and "rescaling + compactification". New physically important relations
(inequalities) between the parameters in the action are established, which
cannot be derived in the case $l=1$ of the standard gravitational theory, but
should be fulfilled also for that case.
| [
{
"created": "Tue, 3 Nov 2009 20:10:59 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Dimitrov",
"Bogdan G.",
"",
"Bogoliubov Laboratory of Theoretical Physics,\n Joint Institute for Nuclear Research, Dubna, Russian Federation"
]
] | On the base of the distinction between covariant and contravariant metric tensor components, a new (multivariable) cubic algebraic equation for reparametrization invariance of the gravitational Lagrangian has been derived and parametrized with complicated non - elliptic functions, depending on the (elliptic) Weierstrass function and its derivative. This is different from standard algebraic geometry, where only two-dimensional cubic equations are parametrized with elliptic functions and not multivariable ones. Physical applications of the approach have been considered in reference to theories with extra dimensions. The s.c. "length function" l(x) has been introduced and found as a solution of quasilinear differential equations in partial derivatives for two different cases of "compactification + rescaling" and "rescaling + compactification". New physically important relations (inequalities) between the parameters in the action are established, which cannot be derived in the case $l=1$ of the standard gravitational theory, but should be fulfilled also for that case. |
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