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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2401.08555 | Adel Rahman | Adel A. Rahman and Leonard Susskind | Infinite Temperature is Not So Infinite: The Many Temperatures of de
Sitter Space | 50 pages, 5 figures; V2 added Acknowledgments section which was
accidentally omitted in V1 | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Several distinct concepts of temperature appear in the holographic
description of de Sitter space. Conflating these has led to confusion and
inconsistent claims. The double-scaled limit of SYK is a concrete model in
which we can examine and explain these different concepts of temperature. This
note began as an addendum to our paper ``Comments on a Paper by Narovlansky and
Verlinde" but in the process of writing it we learned new things -- interesting
in their own right -- that we wish to report here.
| [
{
"created": "Tue, 16 Jan 2024 18:33:29 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Mar 2024 23:13:54 GMT",
"version": "v2"
}
] | 2024-03-05 | [
[
"Rahman",
"Adel A.",
""
],
[
"Susskind",
"Leonard",
""
]
] | Several distinct concepts of temperature appear in the holographic description of de Sitter space. Conflating these has led to confusion and inconsistent claims. The double-scaled limit of SYK is a concrete model in which we can examine and explain these different concepts of temperature. This note began as an addendum to our paper ``Comments on a Paper by Narovlansky and Verlinde" but in the process of writing it we learned new things -- interesting in their own right -- that we wish to report here. |
1609.00282 | Daniel Kapec | Daniel Kapec, Prahar Mitra, Ana-Maria Raclariu, Andrew Strominger | A 2D Stress Tensor for 4D Gravity | 12 pages. v2: updated acknowledgements | Phys. Rev. Lett. 119, 121601 (2017) | 10.1103/PhysRevLett.119.121601 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the subleading soft-graviton theorem to construct an operator $T_{zz}$
whose insertion in the four-dimensional tree-level quantum gravity
$\mathcal{S}$-matrix obeys the Virasoro-Ward identities of the energy momentum
tensor of a two-dimensional conformal field theory (CFT$_2$). The celestial
sphere at Minkowskian null infinity plays the role of the Euclidean sphere of
the CFT$_2$, with the Lorentz group acting as the unbroken $SL(2,\mathbb{C})$
subgroup.
| [
{
"created": "Thu, 1 Sep 2016 15:35:46 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2016 17:26:39 GMT",
"version": "v2"
}
] | 2017-09-27 | [
[
"Kapec",
"Daniel",
""
],
[
"Mitra",
"Prahar",
""
],
[
"Raclariu",
"Ana-Maria",
""
],
[
"Strominger",
"Andrew",
""
]
] | We use the subleading soft-graviton theorem to construct an operator $T_{zz}$ whose insertion in the four-dimensional tree-level quantum gravity $\mathcal{S}$-matrix obeys the Virasoro-Ward identities of the energy momentum tensor of a two-dimensional conformal field theory (CFT$_2$). The celestial sphere at Minkowskian null infinity plays the role of the Euclidean sphere of the CFT$_2$, with the Lorentz group acting as the unbroken $SL(2,\mathbb{C})$ subgroup. |
hep-th/9205100 | Jacques Distler | J. Distler | A note on the 3D Ising model as a string theory | 21 pages, 11 figures. This revised manuscript is identical to the
final published version (Nuclear Physics B, to appear). Aside from correcting
some scattered typos, the final version corrects and expands some of the
comments in the original preprint on the unoriented NSR string | Nucl.Phys. B388 (1992) 648-670 | 10.1016/0550-3213(92)90558-S | PUPT-1324 | hep-th cond-mat hep-lat | null | It has long been argued that the continuum limit of the 3D Ising model is
equivalent to a string theory. Unfortunately, in the usual starting point for
this equivalence -- a certain lattice theory of surfaces -- it is not at all
obvious how to take the continuum limit. In this note, I reformulate the
lattice theory of surfaces in a fashion such that the continuum limit is
straightforward. I go on to discuss how this new formulation may overcome some
fundamental objections to the notion that the Ising model is equivalent to a
string theory. In an appendix, I also discuss some aspects of fermion doubling,
and the lattice fermion formulation of the 2D Ising model.
| [
{
"created": "Wed, 27 May 1992 18:47:09 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Aug 1992 17:55:53 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Distler",
"J.",
""
]
] | It has long been argued that the continuum limit of the 3D Ising model is equivalent to a string theory. Unfortunately, in the usual starting point for this equivalence -- a certain lattice theory of surfaces -- it is not at all obvious how to take the continuum limit. In this note, I reformulate the lattice theory of surfaces in a fashion such that the continuum limit is straightforward. I go on to discuss how this new formulation may overcome some fundamental objections to the notion that the Ising model is equivalent to a string theory. In an appendix, I also discuss some aspects of fermion doubling, and the lattice fermion formulation of the 2D Ising model. |
0911.5281 | Sangmin Lee | Jaehoon Jeong, Hee-Cheol Kim, Sangmin Lee, Eoin O Colgain, Hossein
Yavartanoo | Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry | 37 pages; v2. references added, minor improvements | JHEP 1003:034,2010 | 10.1007/JHEP03(2010)034 | KIAS-P09054 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the most general solution of 11-dimensional supergravity compatible
with N=2 super-Schrodinger symmetry with six supercharges and SU(2) x SU(2) x
U(1) x Z_2 global symmetry. It can be viewed as a one-parameter extension of a
recently constructed solution by Ooguri and Park. Our original motivation was
to find the gravity dual of the non-relativistic ABJM theory. But, our analysis
shows that no such solution exists within the reach of our assumptions. We
discuss possible reasons for the non-existence of the desired solution. We also
uplift a super-Schrodinger solution in IIB supergravity of Donos and Gauntlett
to 11-dimension and comment on its properties.
| [
{
"created": "Fri, 27 Nov 2009 15:03:51 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Dec 2009 07:32:00 GMT",
"version": "v2"
}
] | 2010-04-21 | [
[
"Jeong",
"Jaehoon",
""
],
[
"Kim",
"Hee-Cheol",
""
],
[
"Lee",
"Sangmin",
""
],
[
"Colgain",
"Eoin O",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] | We find the most general solution of 11-dimensional supergravity compatible with N=2 super-Schrodinger symmetry with six supercharges and SU(2) x SU(2) x U(1) x Z_2 global symmetry. It can be viewed as a one-parameter extension of a recently constructed solution by Ooguri and Park. Our original motivation was to find the gravity dual of the non-relativistic ABJM theory. But, our analysis shows that no such solution exists within the reach of our assumptions. We discuss possible reasons for the non-existence of the desired solution. We also uplift a super-Schrodinger solution in IIB supergravity of Donos and Gauntlett to 11-dimension and comment on its properties. |
1201.3633 | Yang-Hui Evariste He | Yang-Hui He and John McKay | N=2 Gauge Theories: Congruence Subgroups, Coset Graphs and Modular
Surfaces | 42+1 pages, 5 figures; various helpful comments incorporated | null | 10.1063/1.4772976 | null | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish a correspondence between generalized quiver gauge theories in
four dimensions and congruence subgroups of the modular group, hinging upon the
trivalent graphs which arise in both. The gauge theories and the graphs are
enumerated and their numbers are compared. The correspondence is particularly
striking for genus zero torsion-free congruence subgroups as exemplified by
those which arise in Moonshine. We analyze in detail the case of index 24,
where modular elliptic K3 surfaces emerge: here, the elliptic j-invariants can
be recast as dessins d'enfant which dictate the Seiberg-Witten curves.
| [
{
"created": "Tue, 17 Jan 2012 21:11:44 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Apr 2012 06:13:16 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"He",
"Yang-Hui",
""
],
[
"McKay",
"John",
""
]
] | We establish a correspondence between generalized quiver gauge theories in four dimensions and congruence subgroups of the modular group, hinging upon the trivalent graphs which arise in both. The gauge theories and the graphs are enumerated and their numbers are compared. The correspondence is particularly striking for genus zero torsion-free congruence subgroups as exemplified by those which arise in Moonshine. We analyze in detail the case of index 24, where modular elliptic K3 surfaces emerge: here, the elliptic j-invariants can be recast as dessins d'enfant which dictate the Seiberg-Witten curves. |
1705.01964 | Muxin Han | Muxin Han, Shilin Huang | Discrete Gravity on Random Tensor Network and Holographic R\'enyi
Entropy | 8+2 pages, 10 figures, presentation improved, references added | JHEP 1711 (2017) 148 | 10.1007/JHEP11(2017)148 | null | hep-th cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we apply the discrete gravity and Regge calculus to tensor
networks and Anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We
construct the boundary many-body quantum state $|\Psi\rangle$ using random
tensor networks as the holographic mapping, applied to the Wheeler-deWitt wave
function of bulk Euclidean discrete gravity in 3 dimensions. The entanglement
R\'enyi entropy of $|\Psi\rangle$ is shown to holographically relate to the
on-shell action of Einstein gravity on a branch cover bulk manifold. The
resulting R\'enyi entropy $S_n$ of $|\Psi\rangle$ approximates with high
precision the R\'enyi entropy of ground state in 2-dimensional conformal field
theory (CFT). In particular it reproduces the correct $n$ dependence. Our
results develop the framework of realizing the AdS$_3$/CFT$_2$ correspondence
on random tensor networks, and provide a new proposal to approximate CFT ground
state.
| [
{
"created": "Thu, 4 May 2017 18:20:16 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2017 16:03:21 GMT",
"version": "v2"
}
] | 2017-11-30 | [
[
"Han",
"Muxin",
""
],
[
"Huang",
"Shilin",
""
]
] | In this paper we apply the discrete gravity and Regge calculus to tensor networks and Anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We construct the boundary many-body quantum state $|\Psi\rangle$ using random tensor networks as the holographic mapping, applied to the Wheeler-deWitt wave function of bulk Euclidean discrete gravity in 3 dimensions. The entanglement R\'enyi entropy of $|\Psi\rangle$ is shown to holographically relate to the on-shell action of Einstein gravity on a branch cover bulk manifold. The resulting R\'enyi entropy $S_n$ of $|\Psi\rangle$ approximates with high precision the R\'enyi entropy of ground state in 2-dimensional conformal field theory (CFT). In particular it reproduces the correct $n$ dependence. Our results develop the framework of realizing the AdS$_3$/CFT$_2$ correspondence on random tensor networks, and provide a new proposal to approximate CFT ground state. |
hep-th/9907068 | Q.-Han Park | K. Lee, Q-Han Park, and H.J. Shin | Vortex String Dynamics in an External Antisymmetric Tensor Field | 20 pages, 9 figures | Nucl.Phys. B563 (1999) 461-476 | 10.1016/S0550-3213(99)00580-5 | null | hep-th | null | We study the Lund-Regge equation that governs the motion of strings in a
constant background antisymmetric tensor field by using the duality between the
Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases
of vortex filament configurations in fluid dynamics, we find various exact
solitonic string configurations which are the analogue of the Kelvin wave, the
Hasimoto soliton and the smoke ring. In particular, using the duality relation,
we obtain a completely new type of configuration which corresponds to the
breather of the complex sine-Gordon equation.
| [
{
"created": "Fri, 9 Jul 1999 21:41:02 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lee",
"K.",
""
],
[
"Park",
"Q-Han",
""
],
[
"Shin",
"H. J.",
""
]
] | We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases of vortex filament configurations in fluid dynamics, we find various exact solitonic string configurations which are the analogue of the Kelvin wave, the Hasimoto soliton and the smoke ring. In particular, using the duality relation, we obtain a completely new type of configuration which corresponds to the breather of the complex sine-Gordon equation. |
1705.08701 | Ashok Das | A. L. M. Britto, Ashok K. Das and J. Frenkel | Fermion propagator in an external potential and generalized Airy
functions | 9 pages, 3 figures | Mod. Phys. Lett. A, Vol. 32, No. 32 (2017) 1750171 | 10.1142/S0217732317501711 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the behavior of the fermion propagator in an external time dependent
potential in 0+1 dimension. We show that, when the potential has upto quadratic
terms in time, the propagator can be expressed in terms of generalized Airy
functions (or standard Airy functions depending on the exact time dependence).
We study various properties of these new generalized functions which reduce to
the standard Airy functions in a particular limit.
| [
{
"created": "Wed, 24 May 2017 11:25:59 GMT",
"version": "v1"
}
] | 2017-10-05 | [
[
"Britto",
"A. L. M.",
""
],
[
"Das",
"Ashok K.",
""
],
[
"Frenkel",
"J.",
""
]
] | We study the behavior of the fermion propagator in an external time dependent potential in 0+1 dimension. We show that, when the potential has upto quadratic terms in time, the propagator can be expressed in terms of generalized Airy functions (or standard Airy functions depending on the exact time dependence). We study various properties of these new generalized functions which reduce to the standard Airy functions in a particular limit. |
hep-th/0408051 | Sumit Das | Sumit R. Das and Cesar Gomez | Open-closed duality and Double Scaling | 10 pages, LaTeX | JHEP 0410:026,2004 | 10.1088/1126-6708/2004/10/026 | UK-04/18,CERN-PH-TH/2004-147 | hep-th | null | Nonperturbative terms in the free energy of Chern-Simons gauge theory play a
key role in its duality to the closed topological string. We show that these
terms are reproduced by performing a double scaling limit near the point where
the perturbation expansion diverges. This leads to a derivation of closed
string theory from this large-N gauge theory along the lines of noncritical
string theories. We comment on the possible relevance of this observation to
the derivation of superpotentials of asymptotically free gauge theories and its
relation to infrared renormalons.
| [
{
"created": "Fri, 6 Aug 2004 10:33:06 GMT",
"version": "v1"
}
] | 2010-12-03 | [
[
"Das",
"Sumit R.",
""
],
[
"Gomez",
"Cesar",
""
]
] | Nonperturbative terms in the free energy of Chern-Simons gauge theory play a key role in its duality to the closed topological string. We show that these terms are reproduced by performing a double scaling limit near the point where the perturbation expansion diverges. This leads to a derivation of closed string theory from this large-N gauge theory along the lines of noncritical string theories. We comment on the possible relevance of this observation to the derivation of superpotentials of asymptotically free gauge theories and its relation to infrared renormalons. |
hep-th/9711175 | Jose Daniel Edelstein | Jose D. Edelstein and Carlos Nunez | Supersymmetry and Bosonization in Three Dimensions | 12 pages, LaTeX, no figures, to appear in Physics Letters B | Phys.Lett. B420 (1998) 300-306 | 10.1016/S0370-2693(97)01521-9 | La Plata-Th 97/02 | hep-th | null | We discuss on the possible existence of a supersymmetric invariance in purely
fermionic planar systems and its relation to the fermion-boson mapping in
three-dimensional quantum field theory. We consider, as a very simple example,
the bosonization of free massive fermions and show that, under certain
conditions on the masses, this model displays a supersymmetric-like invariance
in the low energy regime. We construct the purely fermionic expression for the
supercurrent and the non-linear supersymmetry transformation laws. We argue
that the supersymmetry is absent in the limit of massless fermions where the
bosonized theory is non-local.
| [
{
"created": "Mon, 24 Nov 1997 10:42:47 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Edelstein",
"Jose D.",
""
],
[
"Nunez",
"Carlos",
""
]
] | We discuss on the possible existence of a supersymmetric invariance in purely fermionic planar systems and its relation to the fermion-boson mapping in three-dimensional quantum field theory. We consider, as a very simple example, the bosonization of free massive fermions and show that, under certain conditions on the masses, this model displays a supersymmetric-like invariance in the low energy regime. We construct the purely fermionic expression for the supercurrent and the non-linear supersymmetry transformation laws. We argue that the supersymmetry is absent in the limit of massless fermions where the bosonized theory is non-local. |
hep-th/9506140 | null | M. Gasperini | Amplification of Vacuum Fluctuations in String Cosmology Backgrounds | 25 pages, Plain TEX, 3 figures available by fax upon request, to
appear in "Proc. of the 3rd Colloque Cosmologie" (Observatoire de Paris,7-9
June 1995) | null | null | DFTT-38/95 | hep-th astro-ph gr-qc hep-ph | null | Inflationary string cosmology backgrounds can amplify perturbations in a more
efficient way than conventional inflationary backgrounds, because the
perturbation amplitude may grow - instead of being constant - outside the
horizon. If not gauged away, the growing mode can limit the range of validity
of a linearized description of perturbations. Even in the restricted linear
range, however, this enhanced amplification may lead to phenomenological
consequences unexpected in the context of the standard inflationary scenario.
In particular, the production of a relic graviton background strong enough to
be detected in future by LIGO, and/or the generation of a stochastic
electromagnetic background strong enough to seed the cosmic magnetic fields and
to be responsible for the observed large scale anisotropy.
| [
{
"created": "Wed, 21 Jun 1995 12:38:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gasperini",
"M.",
""
]
] | Inflationary string cosmology backgrounds can amplify perturbations in a more efficient way than conventional inflationary backgrounds, because the perturbation amplitude may grow - instead of being constant - outside the horizon. If not gauged away, the growing mode can limit the range of validity of a linearized description of perturbations. Even in the restricted linear range, however, this enhanced amplification may lead to phenomenological consequences unexpected in the context of the standard inflationary scenario. In particular, the production of a relic graviton background strong enough to be detected in future by LIGO, and/or the generation of a stochastic electromagnetic background strong enough to seed the cosmic magnetic fields and to be responsible for the observed large scale anisotropy. |
hep-th/0503086 | J. M. Speight | J.A. McGlade and J.M. Speight (University of Leeds) | Slow equivariant lump dynamics on the two sphere | 12 pages, 3 figures | Nonlinearity 19 (2006) 441-452 | 10.1088/0951-7715/19/2/011 | null | hep-th | null | The low-energy, rotationally equivariant dynamics of n CP^1 lumps on S^2 is
studied within the approximation of geodesic motion in the moduli space of
static solutions. The volume and curvature properties of this moduli space are
computed. By lifting the geodesic flow to the completion of an n-fold cover of
the moduli space, a good understanding of nearly singular lump dynamics within
this approximation is obtained.
| [
{
"created": "Thu, 10 Mar 2005 12:27:09 GMT",
"version": "v1"
}
] | 2014-11-12 | [
[
"McGlade",
"J. A.",
"",
"University of Leeds"
],
[
"Speight",
"J. M.",
"",
"University of Leeds"
]
] | The low-energy, rotationally equivariant dynamics of n CP^1 lumps on S^2 is studied within the approximation of geodesic motion in the moduli space of static solutions. The volume and curvature properties of this moduli space are computed. By lifting the geodesic flow to the completion of an n-fold cover of the moduli space, a good understanding of nearly singular lump dynamics within this approximation is obtained. |
hep-th/9410004 | null | B.Rusakov | Lattice QCD as a theory of interacting surfaces | TAUP-2204-94, 12pp., LaTeX | Phys.Lett. B344 (1995) 293-300 | 10.1016/0370-2693(94)01488-X | null | hep-th | null | Pure gauge lattice QCD at arbitrary D is considered. Exact integration over
link variables in an arbitrary D-volume leads naturally to an appearance of a
set of surfaces filling the volume and gives an exact expression for functional
of their boundaries. The interaction between each two surfaces is proportional
to their common area and is realized by a non-local matrix differential
operator acting on their boundaries. The surface self-interaction is given by
the QCD$_2$ functional of boundary. Partition functions and observables (Wilson
loop averages) are written as an averages over all configurations of an
integer-valued field living on a surfaces.
| [
{
"created": "Mon, 3 Oct 1994 15:46:40 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Rusakov",
"B.",
""
]
] | Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an appearance of a set of surfaces filling the volume and gives an exact expression for functional of their boundaries. The interaction between each two surfaces is proportional to their common area and is realized by a non-local matrix differential operator acting on their boundaries. The surface self-interaction is given by the QCD$_2$ functional of boundary. Partition functions and observables (Wilson loop averages) are written as an averages over all configurations of an integer-valued field living on a surfaces. |
hep-th/0512002 | Vitor Cardoso | Vitor Cardoso, Marco Cavaglia, Leonardo Gualtieri | Black hole particle emission in higher-dimensional spacetimes | 4 pages, RevTeX 4. v3: Misprints in Tables corrected | Phys.Rev.Lett. 96 (2006) 071301; Erratum-ibid. 96 (2006) 219902 | 10.1103/PhysRevLett.96.071301 | null | hep-th astro-ph gr-qc hep-ph | null | In models with extra dimensions, a black hole evaporates both in the bulk and
on the visible brane, where standard model fields live. The exact emissivities
of each particle species are needed to determine how the black hole decay
proceeds. We compute and discuss the absorption cross-sections, the relative
emissivities and the total power output of all known fields in the evaporation
phase. Graviton emissivity is highly enhanced as the spacetime dimensionality
increases. Therefore, a black hole loses a significant fraction of its mass in
the bulk. This result has important consequences for the phenomenology of black
holes in models with extra dimensions and black hole detection in particle
colliders.
| [
{
"created": "Wed, 30 Nov 2005 22:14:31 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Feb 2006 03:23:30 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Apr 2006 16:14:04 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Cardoso",
"Vitor",
""
],
[
"Cavaglia",
"Marco",
""
],
[
"Gualtieri",
"Leonardo",
""
]
] | In models with extra dimensions, a black hole evaporates both in the bulk and on the visible brane, where standard model fields live. The exact emissivities of each particle species are needed to determine how the black hole decay proceeds. We compute and discuss the absorption cross-sections, the relative emissivities and the total power output of all known fields in the evaporation phase. Graviton emissivity is highly enhanced as the spacetime dimensionality increases. Therefore, a black hole loses a significant fraction of its mass in the bulk. This result has important consequences for the phenomenology of black holes in models with extra dimensions and black hole detection in particle colliders. |
hep-th/0105174 | Taro Tani | Shun'ya Mizoguchi and Taro Tani | Wound D-branes in Gepner Models | 32 pages, 2 figures | Nucl.Phys. B611 (2001) 253-280 | 10.1016/S0550-3213(01)00359-5 | KEK Preprint 2001-24 | hep-th | null | We propose a new prescription of how to represent D-branes in Gepner models
in more general homology classes than those in the previous constructions. The
central role is played by a certain projection acting on the
Recknagel-Schomerus boundary states. Consequently, the boundary states are in
most cases no longer a sum of products of N=2 Ishibashi states, but
nevertheless preserve spacetime supersymmetry and satisfy the Cardy condition.
We demonstrate these in the (k=1)^3 Gepner model in detail, and construct
boundary states for D-branes wound around arbitrary rigid 1-cycles on the
corresponding 2-torus. We also emphasize the necessity of some angle-dependent
transformations in identifying a proper free-field realization for each brane
tilted at an angle. In particular, this is essential for the Witten index to
give the correct intersection numbers between the different D-branes.
| [
{
"created": "Fri, 18 May 2001 12:17:41 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Mizoguchi",
"Shun'ya",
""
],
[
"Tani",
"Taro",
""
]
] | We propose a new prescription of how to represent D-branes in Gepner models in more general homology classes than those in the previous constructions. The central role is played by a certain projection acting on the Recknagel-Schomerus boundary states. Consequently, the boundary states are in most cases no longer a sum of products of N=2 Ishibashi states, but nevertheless preserve spacetime supersymmetry and satisfy the Cardy condition. We demonstrate these in the (k=1)^3 Gepner model in detail, and construct boundary states for D-branes wound around arbitrary rigid 1-cycles on the corresponding 2-torus. We also emphasize the necessity of some angle-dependent transformations in identifying a proper free-field realization for each brane tilted at an angle. In particular, this is essential for the Witten index to give the correct intersection numbers between the different D-branes. |
0903.1927 | Ofer Aharony | Ofer Aharony and Eyal Karzbrun | On the effective action of confining strings | 71 pages, 7 figures. v2: added reference, minor corrections. v3:
removed one term from the effective action since it is trivial. The
conclusions on the corrections to energy levels are unchanged, but the claim
that the holographic computation shows a deviation from Nambu-Goto was
modified. v4: added references | JHEP 0906:012,2009 | 10.1088/1126-6708/2009/06/012 | WIS/04/09-MAR-DPP | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the low-energy effective action on confining strings (in the
fundamental representation) in SU(N) gauge theories in D space-time dimensions.
We write this action in terms of the physical transverse fluctuations of the
string. We show that for any D, the four-derivative terms in the effective
action must exactly match the ones in the Nambu-Goto action, generalizing a
result of Luscher and Weisz for D=3. We then analyze the six-derivative terms,
and we show that some of these terms are constrained. For D=3 this uniquely
determines the effective action for closed strings to this order, while for D>3
one term is not uniquely determined by our considerations. This implies that
for D=3 the energy levels of a closed string of length L agree with the
Nambu-Goto result at least up to order 1/L^5. For any D we find that the
partition function of a long string on a torus is unaffected by the free
coefficient, so it is always equal to the Nambu-Goto partition function up to
six-derivative order. For a closed string of length L, this means that for D>3
its energy can, in principle, deviate from the Nambu-Goto result at order
1/L^5, but such deviations must always cancel in the computation of the
partition function. Next, we compute the effective action up to six-derivative
order for the special case of confining strings in weakly-curved holographic
backgrounds, at one-loop order (leading order in the curvature). Our
computation is general, and applies in particular to backgrounds like the
Witten background, the Maldacena-Nunez background, and the Klebanov-Strassler
background. We show that this effective action obeys all of the constraints we
derive, and in fact it precisely agrees with the Nambu-Goto action (the single
allowed deviation does not appear).
| [
{
"created": "Wed, 11 Mar 2009 13:29:52 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Mar 2009 14:36:04 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Mar 2009 14:28:53 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Mar 2009 07:43:22 GMT",
"version": "v4"
}
] | 2010-12-16 | [
[
"Aharony",
"Ofer",
""
],
[
"Karzbrun",
"Eyal",
""
]
] | We study the low-energy effective action on confining strings (in the fundamental representation) in SU(N) gauge theories in D space-time dimensions. We write this action in terms of the physical transverse fluctuations of the string. We show that for any D, the four-derivative terms in the effective action must exactly match the ones in the Nambu-Goto action, generalizing a result of Luscher and Weisz for D=3. We then analyze the six-derivative terms, and we show that some of these terms are constrained. For D=3 this uniquely determines the effective action for closed strings to this order, while for D>3 one term is not uniquely determined by our considerations. This implies that for D=3 the energy levels of a closed string of length L agree with the Nambu-Goto result at least up to order 1/L^5. For any D we find that the partition function of a long string on a torus is unaffected by the free coefficient, so it is always equal to the Nambu-Goto partition function up to six-derivative order. For a closed string of length L, this means that for D>3 its energy can, in principle, deviate from the Nambu-Goto result at order 1/L^5, but such deviations must always cancel in the computation of the partition function. Next, we compute the effective action up to six-derivative order for the special case of confining strings in weakly-curved holographic backgrounds, at one-loop order (leading order in the curvature). Our computation is general, and applies in particular to backgrounds like the Witten background, the Maldacena-Nunez background, and the Klebanov-Strassler background. We show that this effective action obeys all of the constraints we derive, and in fact it precisely agrees with the Nambu-Goto action (the single allowed deviation does not appear). |
1009.2497 | David Seery | Clare Burrage, Claudia de Rham, David Seery and Andrew J. Tolley | Galileon inflation | 13 pages, plus appendices and references. v2: some clarifications in
introduction; missing references added. v3: discussion of Sec. IV.B
clarified. Matches version published in JCAP. v4: typos corrected in
(44)-(47). v5: some improvements to IV.B; sign error fixed in h4 term of
(B25) and related numerical error in (47) | JCAP 1101:014,2011 | 10.1088/1475-7516/2011/01/014 | DESY 10-132 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Galileon inflation is a radiatively stable higher derivative model of
inflation. The model is determined by a finite number of relevant operators
which are protected by a covariant generalization of the Galileon shift
symmetry. We show that the nongaussianity of the primordial density
perturbation generated during an epoch of Galileon inflation is a particularly
powerful observational probe of these models and that, when the speed of sound
is small, fNL can be larger than the usual result fNL ~ 1/c_s^2.
| [
{
"created": "Mon, 13 Sep 2010 20:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Oct 2010 20:26:38 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Jan 2011 09:45:49 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Jan 2011 22:11:24 GMT",
"version": "v4"
},
{
"created": "Mon, 6 Jun 2011 21:23:12 GMT",
"version": "v5"
}
] | 2011-06-08 | [
[
"Burrage",
"Clare",
""
],
[
"de Rham",
"Claudia",
""
],
[
"Seery",
"David",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | Galileon inflation is a radiatively stable higher derivative model of inflation. The model is determined by a finite number of relevant operators which are protected by a covariant generalization of the Galileon shift symmetry. We show that the nongaussianity of the primordial density perturbation generated during an epoch of Galileon inflation is a particularly powerful observational probe of these models and that, when the speed of sound is small, fNL can be larger than the usual result fNL ~ 1/c_s^2. |
1511.01325 | Shang-Yu Wu | Mu-Sheng Wu, Shang-Yu Wu and Hai-Qing Zhang | Vortex in holographic two-band superfluid/superconductor | 15 pages, 10 figures, v3. major revision, match with journal version | null | 10.1007/JHEP05(2016)011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct numerically static vortex solutions in a holographic model of
two-band superconductor with an interband Josephson coupling in both the
superfluid and superconductor regime. We investigate the effects of the
interband coupling on the order parameter of each superconducting band in the
vortex solution, and we find that it is different for each of the two bands. We
compute also the free energy, critical magnetic field, magnetic penetration
length and coherence lengths for the two bands, and we study their dependence
on the interband coupling and temperature. Interestingly, we find that the
coherence lengths of the two bands are close to identical.
| [
{
"created": "Wed, 4 Nov 2015 13:30:59 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2015 16:20:00 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Apr 2016 18:33:46 GMT",
"version": "v3"
}
] | 2016-05-25 | [
[
"Wu",
"Mu-Sheng",
""
],
[
"Wu",
"Shang-Yu",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] | We construct numerically static vortex solutions in a holographic model of two-band superconductor with an interband Josephson coupling in both the superfluid and superconductor regime. We investigate the effects of the interband coupling on the order parameter of each superconducting band in the vortex solution, and we find that it is different for each of the two bands. We compute also the free energy, critical magnetic field, magnetic penetration length and coherence lengths for the two bands, and we study their dependence on the interband coupling and temperature. Interestingly, we find that the coherence lengths of the two bands are close to identical. |
hep-th/0610247 | David A. Sahakyan | Andrei Parnachev and David A. Sahakyan | Photoemission with Chemical Potential from QCD Gravity Dual | 19 pages, harvmac, 5 figures; v2: mistakes corrected in section 4;
v3: misprints corrected, appendix expanded, 20 pages | Nucl.Phys.B768:177-192,2007 | 10.1016/j.nuclphysb.2007.01.015 | null | hep-th | null | We consider a $D4-D8-\bar D8$ brane construction which gives rise to a large
N QCD at sufficiently small energies. Using the gravity dual of this system, we
study chiral phase transition at finite chemical potential and temperature and
find a line of first order phase transitions in the phase plane. We compute the
spectral function and the photon emission rate. The trace of the spectral
function is monotonic at vanishing chemical potential, but develops some
interesting features as the value of the chemical potential is increased.
| [
{
"created": "Mon, 23 Oct 2006 15:23:06 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2006 15:30:29 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Dec 2006 19:26:30 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Jan 2007 16:18:43 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Parnachev",
"Andrei",
""
],
[
"Sahakyan",
"David A.",
""
]
] | We consider a $D4-D8-\bar D8$ brane construction which gives rise to a large N QCD at sufficiently small energies. Using the gravity dual of this system, we study chiral phase transition at finite chemical potential and temperature and find a line of first order phase transitions in the phase plane. We compute the spectral function and the photon emission rate. The trace of the spectral function is monotonic at vanishing chemical potential, but develops some interesting features as the value of the chemical potential is increased. |
hep-th/0411149 | Muneto Nitta | Muneto Nitta | Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons | 9 pages, no figures | Mod.Phys.Lett. A20 (2005) 577-584 | 10.1142/S0217732305016828 | TIT/HEP-532 | hep-th | null | We present new non-Ricci-flat Kahler metrics with U(N) and O(N) isometries as
target manifolds of superconformally invariant sigma models with an anomalous
dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow
equation. These metrics explicitly contain the anomalous dimension and reduce
to Ricci-flat Kahler metrics on the canonical line bundles over certain coset
spaces in the limit of vanishing anomalous dimension.
| [
{
"created": "Tue, 16 Nov 2004 21:33:05 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Dec 2004 14:16:07 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Nitta",
"Muneto",
""
]
] | We present new non-Ricci-flat Kahler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat Kahler metrics on the canonical line bundles over certain coset spaces in the limit of vanishing anomalous dimension. |
hep-th/9402137 | Michael Ody | M. S. Ody and L. H. Ryder | Time-Independent Solutions to the Two-Dimensional Non-Linear O(3) Sigma
Model and Surfaces of Constant Mean Curvature | 35 pages, LaTeX | Int.J.Mod.Phys. A10 (1995) 337-364 | 10.1142/S0217751X95000140 | null | hep-th | null | It is shown that time-independent solutions to the (2+1)-dimensional non-
linear O(3) sigma model may be placed in correspondence with surfaces of
constant mean curvature in three-dimensional Euclidean space. The tools
required to establish this correspondence are provided by the classical
differential geometry of surfaces. A constant-mean-curvature surface induces a
solution to the O(3) model through the identification of the Gauss map, or
normal vector, of the surface with the field vector of the sigma model. Some
explicit solutions, including the solitons and antisolitons discovered by
Belavin and Polyakov, and a more general solution due to Purkait and Ray, are
considered and the surfaces giving rise to them are found explicitly. It is
seen, for example, that the Belavin-Polyakov solutions are induced by the Gauss
maps of surfaces which are conformal to their spherical images, i.e. spheres
and minimal surfaces, and that the Purkait-Ray solution corresponds to the
family of constant-mean-curvature helicoids first studied by do Carmo and
Dajczer in 1982. A generalisation of this method to include time-dependence may
shed new light on the role of the Hopf invariant in this model.
| [
{
"created": "Thu, 24 Feb 1994 12:25:36 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ody",
"M. S.",
""
],
[
"Ryder",
"L. H.",
""
]
] | It is shown that time-independent solutions to the (2+1)-dimensional non- linear O(3) sigma model may be placed in correspondence with surfaces of constant mean curvature in three-dimensional Euclidean space. The tools required to establish this correspondence are provided by the classical differential geometry of surfaces. A constant-mean-curvature surface induces a solution to the O(3) model through the identification of the Gauss map, or normal vector, of the surface with the field vector of the sigma model. Some explicit solutions, including the solitons and antisolitons discovered by Belavin and Polyakov, and a more general solution due to Purkait and Ray, are considered and the surfaces giving rise to them are found explicitly. It is seen, for example, that the Belavin-Polyakov solutions are induced by the Gauss maps of surfaces which are conformal to their spherical images, i.e. spheres and minimal surfaces, and that the Purkait-Ray solution corresponds to the family of constant-mean-curvature helicoids first studied by do Carmo and Dajczer in 1982. A generalisation of this method to include time-dependence may shed new light on the role of the Hopf invariant in this model. |
2303.02711 | Astha Kakkar | Astha Kakkar and Swarnendu Sarkar | Phases of theories with fermions in AdS | 30+11 pages | null | 10.1007/JHEP06(2023)009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the phases of Yukawa theories at weak coupling and the Gross-Neveu
models in AdS spaces at zero and finite temperature. Following the method used
in \cite{Kakkar:2022hub}, we first compute the one-loop partition functions,
using the generalized eigenfunctions of the Laplacian on Euclidean AdS in the
Poincar\'e coordinates. These functions satisfy desired periodicities under
thermal identification. The method replicates results for partition functions
known in the literature. We then study the phases of these field theories with
fermions as regions in the corresponding parameter spaces at zero temperature.
The phases and the corresponding phase boundaries are further identified as a
function of the mass-squared of the scalar field and temperature for the Yukawa
theories. While for the Gross-Neveu models, the changes in the phases as a
function of the fermionic mass and the coupling constant at finite temperature
are discussed. The Gross-Neveu-Yukawa model is studied for AdS$_4$. We also
note certain deviations from phases of these theories in flat space.
| [
{
"created": "Sun, 5 Mar 2023 16:41:17 GMT",
"version": "v1"
}
] | 2023-06-21 | [
[
"Kakkar",
"Astha",
""
],
[
"Sarkar",
"Swarnendu",
""
]
] | We study the phases of Yukawa theories at weak coupling and the Gross-Neveu models in AdS spaces at zero and finite temperature. Following the method used in \cite{Kakkar:2022hub}, we first compute the one-loop partition functions, using the generalized eigenfunctions of the Laplacian on Euclidean AdS in the Poincar\'e coordinates. These functions satisfy desired periodicities under thermal identification. The method replicates results for partition functions known in the literature. We then study the phases of these field theories with fermions as regions in the corresponding parameter spaces at zero temperature. The phases and the corresponding phase boundaries are further identified as a function of the mass-squared of the scalar field and temperature for the Yukawa theories. While for the Gross-Neveu models, the changes in the phases as a function of the fermionic mass and the coupling constant at finite temperature are discussed. The Gross-Neveu-Yukawa model is studied for AdS$_4$. We also note certain deviations from phases of these theories in flat space. |
hep-th/0102201 | C. Hofman | C. M. Hofman and W. K. Ma | Deformations of Closed Strings and Topological Open Membranes | 50 pages, LaTeX; V2: minor changes, 2 references added, V3: typos
corrected, signs added, modified discussion on higher correlators | JHEP 0106:033,2001 | 10.1088/1126-6708/2001/06/033 | RUNHETC-2001-04, UG-01-25 | hep-th | null | We study deformations of topological closed strings. A well-known example is
the perturbation of a topological closed string by itself, where the
associative OPE product is deformed, and which is governed by the WDVV
equations. Our main interest will be closed strings that arise as the boundary
theory for topological open membranes, where the boundary string is deformed by
the bulk membrane operators. The main example is the topological open membrane
theory with a nonzero 3-form field in the bulk. In this case the Lie bracket of
the current algebra is deformed, leading in general to a correction of the
Jacobi identity. We identify these deformations in terms of deformation theory.
To this end we describe the deformation of the algebraic structure of the
closed string, given by the BRST operator, the associative product and the Lie
bracket. Quite remarkably, we find that there are three classes of deformations
for the closed string, two of which are exemplified by the WDVV theory and the
topological open membrane. The third class remains largely mysterious, as we
have no explicit example.
| [
{
"created": "Tue, 27 Feb 2001 23:51:29 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 2001 22:38:37 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Aug 2001 20:30:23 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Hofman",
"C. M.",
""
],
[
"Ma",
"W. K.",
""
]
] | We study deformations of topological closed strings. A well-known example is the perturbation of a topological closed string by itself, where the associative OPE product is deformed, and which is governed by the WDVV equations. Our main interest will be closed strings that arise as the boundary theory for topological open membranes, where the boundary string is deformed by the bulk membrane operators. The main example is the topological open membrane theory with a nonzero 3-form field in the bulk. In this case the Lie bracket of the current algebra is deformed, leading in general to a correction of the Jacobi identity. We identify these deformations in terms of deformation theory. To this end we describe the deformation of the algebraic structure of the closed string, given by the BRST operator, the associative product and the Lie bracket. Quite remarkably, we find that there are three classes of deformations for the closed string, two of which are exemplified by the WDVV theory and the topological open membrane. The third class remains largely mysterious, as we have no explicit example. |
1506.06750 | David Pirtskhalava | David Pirtskhalava, Luca Santoni, Enrico Trincherini, Filippo Vernizzi | Large Non-Gaussianity in Slow-Roll Inflation | 5 pages | null | 10.1007/JHEP04(2016)117 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Canonical models of single-field, slow-roll inflation do not lead to
appreciable non-Gaussianity, unless derivative interactions of the inflaton
become uncontrollably large. We propose a novel slow-roll scenario where scalar
perturbations propagate at a subluminal speed, leading to sizeable equilateral
non-Gaussianity, $f^{\rm equil}_{\rm NL}\propto 1/c_s^4$, largely insensitive
to the ultraviolet physics. The model is based on a low-energy effective theory
characterized by weakly broken invariance under internal galileon
transformations, $\phi\to\phi+b_\mu x^\mu$, which protects the properties of
perturbations from large quantum corrections. This provides the unique
alternative to models such as DBI inflation in generating strongly
subluminal/non-Gaussian scalar perturbations.
| [
{
"created": "Mon, 22 Jun 2015 20:00:29 GMT",
"version": "v1"
}
] | 2016-05-25 | [
[
"Pirtskhalava",
"David",
""
],
[
"Santoni",
"Luca",
""
],
[
"Trincherini",
"Enrico",
""
],
[
"Vernizzi",
"Filippo",
""
]
] | Canonical models of single-field, slow-roll inflation do not lead to appreciable non-Gaussianity, unless derivative interactions of the inflaton become uncontrollably large. We propose a novel slow-roll scenario where scalar perturbations propagate at a subluminal speed, leading to sizeable equilateral non-Gaussianity, $f^{\rm equil}_{\rm NL}\propto 1/c_s^4$, largely insensitive to the ultraviolet physics. The model is based on a low-energy effective theory characterized by weakly broken invariance under internal galileon transformations, $\phi\to\phi+b_\mu x^\mu$, which protects the properties of perturbations from large quantum corrections. This provides the unique alternative to models such as DBI inflation in generating strongly subluminal/non-Gaussian scalar perturbations. |
hep-th/9206001 | Rodolfo Cuerno | A. Berkovich, G. Sierra and C. Gomez | q--Magnetism at roots of unity | 7 pages, LaTeX file, IMFF-6/92 | J.Phys.A26:L45-L52,1993 | 10.1088/0305-4470/26/2/004 | null | hep-th | null | We study the thermodynamic properties of a family of integrable 1D spin chain
hamiltonians associated with quantum groups at roots of unity. These
hamiltonians depend for each primitive root of unit on a parameter $s$ which
plays the role of a continuous spin. The model exhibits ferrimagnetism even
though the interaction involved is between nearest neighbors. The latter
phenomenon is interpreted as a genuine quantum group effect with no
``classical" analog. The discussion of conformal properties is given.
| [
{
"created": "Mon, 1 Jun 1992 08:42:18 GMT",
"version": "v1"
}
] | 2019-06-05 | [
[
"Berkovich",
"A.",
""
],
[
"Sierra",
"G.",
""
],
[
"Gomez",
"C.",
""
]
] | We study the thermodynamic properties of a family of integrable 1D spin chain hamiltonians associated with quantum groups at roots of unity. These hamiltonians depend for each primitive root of unit on a parameter $s$ which plays the role of a continuous spin. The model exhibits ferrimagnetism even though the interaction involved is between nearest neighbors. The latter phenomenon is interpreted as a genuine quantum group effect with no ``classical" analog. The discussion of conformal properties is given. |
hep-th/9311185 | Elias Kiritsis | C. Bachas and E. Kiritsis | Exact String Theory Instantons by Dimensional Reduction | LateX, 15pp., CERN-TH.7100/93, CPTh-A276.11.93 (Minor Errors
Corrected) | Phys.Lett.B325:103-114,1994 | 10.1016/0370-2693(94)90078-7 | null | hep-th | null | We identify exact gauge-instanton-like solutions to (super)-string theory
using the method of dimensional reduction. We find in particular the Polyakov
instanton of 3d QED, and a class of generalized Yang-Mills merons. We discuss
their marginal deformations, and show that for the $3d$ instanton they
correspond to a dissociation of vector- and axial-magnetic charges.
| [
{
"created": "Tue, 30 Nov 1993 18:40:44 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Dec 1993 16:22:39 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Bachas",
"C.",
""
],
[
"Kiritsis",
"E.",
""
]
] | We identify exact gauge-instanton-like solutions to (super)-string theory using the method of dimensional reduction. We find in particular the Polyakov instanton of 3d QED, and a class of generalized Yang-Mills merons. We discuss their marginal deformations, and show that for the $3d$ instanton they correspond to a dissociation of vector- and axial-magnetic charges. |
2110.13126 | Bendeguz Offertaler | Simone Giombi, Shota Komatsu, Bendeguz Offertaler | Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model
and Classical String | 60 pages, 6 figures; v2: footnote 4 edited, reference added | JHEP 03(2022)020 | 10.1007/JHEP03(2022)020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the large charge sector of the defect CFT defined by the half-BPS
Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory.
Specifically, we consider correlation functions of two large charge insertions
and several light insertions in the double-scaling limit where the 't Hooft
coupling $\lambda$ and the large charge $J$ are sent to infinity, with the
ratio $J/\sqrt{\lambda}$ held fixed. They are holographically dual to the
expectation values of light vertex operators on a classical string solution
with large angular momentum, which we evaluate in the leading large $J$ limit.
We also compute the two-point function of large charge insertions by evaluating
the on-shell string action, supplemented by the boundary terms that generalize
the one introduced by Drukker, Gross and Ooguri for the Wilson loop without
insertions. For a special class of correlation functions, we reproduce the
string results from field theory by using supersymmetric localization. The
results are given by correlation functions in an "emergent" matrix model whose
matrix size is proportional to $J$ and whose spectral curve coincides with that
of the classical string. Similar matrix models appeared in the study of
extremal correlators in rank-1 $\mathcal{N}=2$ superconformal field theories,
but our results hold also for non-extremal cases.
| [
{
"created": "Mon, 25 Oct 2021 17:44:11 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2021 03:59:05 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Apr 2022 14:06:05 GMT",
"version": "v3"
}
] | 2022-04-07 | [
[
"Giombi",
"Simone",
""
],
[
"Komatsu",
"Shota",
""
],
[
"Offertaler",
"Bendeguz",
""
]
] | We study the large charge sector of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Specifically, we consider correlation functions of two large charge insertions and several light insertions in the double-scaling limit where the 't Hooft coupling $\lambda$ and the large charge $J$ are sent to infinity, with the ratio $J/\sqrt{\lambda}$ held fixed. They are holographically dual to the expectation values of light vertex operators on a classical string solution with large angular momentum, which we evaluate in the leading large $J$ limit. We also compute the two-point function of large charge insertions by evaluating the on-shell string action, supplemented by the boundary terms that generalize the one introduced by Drukker, Gross and Ooguri for the Wilson loop without insertions. For a special class of correlation functions, we reproduce the string results from field theory by using supersymmetric localization. The results are given by correlation functions in an "emergent" matrix model whose matrix size is proportional to $J$ and whose spectral curve coincides with that of the classical string. Similar matrix models appeared in the study of extremal correlators in rank-1 $\mathcal{N}=2$ superconformal field theories, but our results hold also for non-extremal cases. |
hep-th/9807205 | Ofer Aharony | Ofer Aharony and Edward Witten | Anti-de Sitter Space and the Center of the Gauge Group | 14 pages, harvmac | JHEP 9811:018,1998 | 10.1088/1126-6708/1998/11/018 | IASSNS-HEP-98/66, RU-98-34 | hep-th | null | Upon compactification on a circle, SU(N) gauge theory with all fields in the
adjoint representation acquires a $Z_N$ global symmetry because the center of
the gauge group is $Z_N$. For N=4 super Yang-Mills theory, we show how this
$Z_N$ "topological symmetry" arises in the context of the AdS/CFT
correspondence, and why the symmetry group is $Z_N$ rather than U(1). This
provides a test of the AdS/CFT correspondence for finite N. If the theory is
formulated on $R^3 \times S^1$ with anti-periodic boundary conditions for
fermions around the $S^1$, the topological symmetry is spontaneously broken; we
show that the domain walls are D-strings, and hence that flux tubes associated
with magnetic confinement can end on the domain walls associated with the
topological symmetry. For the (0,2) $A_{N-1}$ superconformal field theory in
six dimensions, we demonstrate an analogous phenomenon: a $Z_N$ global symmetry
group arises if this theory is compactified on a Riemann surface. In this case,
the domain walls are M-theory membranes.
| [
{
"created": "Tue, 28 Jul 1998 15:34:27 GMT",
"version": "v1"
}
] | 2010-04-07 | [
[
"Aharony",
"Ofer",
""
],
[
"Witten",
"Edward",
""
]
] | Upon compactification on a circle, SU(N) gauge theory with all fields in the adjoint representation acquires a $Z_N$ global symmetry because the center of the gauge group is $Z_N$. For N=4 super Yang-Mills theory, we show how this $Z_N$ "topological symmetry" arises in the context of the AdS/CFT correspondence, and why the symmetry group is $Z_N$ rather than U(1). This provides a test of the AdS/CFT correspondence for finite N. If the theory is formulated on $R^3 \times S^1$ with anti-periodic boundary conditions for fermions around the $S^1$, the topological symmetry is spontaneously broken; we show that the domain walls are D-strings, and hence that flux tubes associated with magnetic confinement can end on the domain walls associated with the topological symmetry. For the (0,2) $A_{N-1}$ superconformal field theory in six dimensions, we demonstrate an analogous phenomenon: a $Z_N$ global symmetry group arises if this theory is compactified on a Riemann surface. In this case, the domain walls are M-theory membranes. |
hep-th/0407190 | Edward Shuryak | Edward Shuryak (Stony Brook) | A Cosmological Constant from Gauge Field Instantons? | null | null | null | null | hep-th | null | Although all interactions in the Standard Model generate nonzero shifts of
the vacuum energy and pressure, gravity does not interact with them. Assuming
(i) that the reason why it is so breaks down at some scale $M_g$ and that (ii)
the instanton-induced shifts at such scale generate the observed cosmological
constant, we found that it then should happen at a (surprisingly small) scale
$M_g\sim 10^3 TeV$.
| [
{
"created": "Wed, 21 Jul 2004 15:37:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shuryak",
"Edward",
"",
"Stony Brook"
]
] | Although all interactions in the Standard Model generate nonzero shifts of the vacuum energy and pressure, gravity does not interact with them. Assuming (i) that the reason why it is so breaks down at some scale $M_g$ and that (ii) the instanton-induced shifts at such scale generate the observed cosmological constant, we found that it then should happen at a (surprisingly small) scale $M_g\sim 10^3 TeV$. |
2202.03589 | Jason Pye | Jason Pye | Lorentz-covariant sampling theory for fields | v2: Added more detailed discussion about connection with Generalized
Uncertainty Principles | 2023 Phys. Scr. 98 025207 | 10.1088/1402-4896/acacd3 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Sampling theory is a discipline in communications engineering involved with
the exact reconstruction of continuous signals from discrete sets of sample
points. From a physics perspective, this is interesting in relation to the
question of whether spacetime is continuous or discrete at the Planck scale,
since in sampling theory we have functions which can be viewed as equivalently
residing on a continuous or discrete space. Further, it is possible to
formulate analogues of sampling which yield discreteness without disturbing
underlying spacetime symmetries. In particular, there is a proposal for how
this can be adapted for Minkowski spacetime. Here we will provide a detailed
examination of the extension of sampling theory to this context. We will also
discuss generally how spacetime symmetries manifest themselves in sampling
theory, which at the surface seems in conflict with the fact that the
discreteness of the sampling is not manifestly covariant. Specifically, we will
show how the symmetry of a function space with a sampling property is
equivalent to the existence of a family of possible sampling lattices related
by the symmetry transformations.
| [
{
"created": "Tue, 8 Feb 2022 01:26:05 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jan 2023 08:33:52 GMT",
"version": "v2"
}
] | 2023-01-18 | [
[
"Pye",
"Jason",
""
]
] | Sampling theory is a discipline in communications engineering involved with the exact reconstruction of continuous signals from discrete sets of sample points. From a physics perspective, this is interesting in relation to the question of whether spacetime is continuous or discrete at the Planck scale, since in sampling theory we have functions which can be viewed as equivalently residing on a continuous or discrete space. Further, it is possible to formulate analogues of sampling which yield discreteness without disturbing underlying spacetime symmetries. In particular, there is a proposal for how this can be adapted for Minkowski spacetime. Here we will provide a detailed examination of the extension of sampling theory to this context. We will also discuss generally how spacetime symmetries manifest themselves in sampling theory, which at the surface seems in conflict with the fact that the discreteness of the sampling is not manifestly covariant. Specifically, we will show how the symmetry of a function space with a sampling property is equivalent to the existence of a family of possible sampling lattices related by the symmetry transformations. |
hep-th/9412224 | Yoichi Kazama | Yoichi Kazama | On Quantum Black Holes | 48 pages, latex, 12 figures. (Replaced 95.1.5. Trouble- making return
characters have been (hopefully) removed.) | null | null | UT-Komaba 94-18 | hep-th | null | A pedagogical discussion is given of some aspects of \lq\lq quantum black
holes", primarily using recently developed two-dimensional models. After a
short preliminary concerning classical black holes, we give several motivations
for studying such models, especially the so called dilaton gravity models in
$1+1$ dimensions. Particularly attractive is the one proposed by
Callan,Giddings, Harvey and Strominger (CGHS), which is classically solvable
and contains black hole solutions. Its semi-classical as well as classical
properties will be reviewed, including how a flux of matter fields produces a
black hole with a subsequent emission of Hawking radiation. Breakdown of such
an approximation near the horizon, however, calls for exactly solvable variants
of this model and some attempts in this direction will then be described. A
focus will be placed on a model with 24 matter fields, for which exact
quantization can be performed and physical states constructed. A method will
then be proposed to extract space-time geometry described by these states in
the sense of quantum average and examples containing a black hole will be
presented. Finally we give a (partial) list of future problems and discuss the
nature of difficulties in resolving them.
| [
{
"created": "Wed, 28 Dec 1994 05:43:40 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Dec 1994 05:05:44 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jan 1995 10:15:12 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Kazama",
"Yoichi",
""
]
] | A pedagogical discussion is given of some aspects of \lq\lq quantum black holes", primarily using recently developed two-dimensional models. After a short preliminary concerning classical black holes, we give several motivations for studying such models, especially the so called dilaton gravity models in $1+1$ dimensions. Particularly attractive is the one proposed by Callan,Giddings, Harvey and Strominger (CGHS), which is classically solvable and contains black hole solutions. Its semi-classical as well as classical properties will be reviewed, including how a flux of matter fields produces a black hole with a subsequent emission of Hawking radiation. Breakdown of such an approximation near the horizon, however, calls for exactly solvable variants of this model and some attempts in this direction will then be described. A focus will be placed on a model with 24 matter fields, for which exact quantization can be performed and physical states constructed. A method will then be proposed to extract space-time geometry described by these states in the sense of quantum average and examples containing a black hole will be presented. Finally we give a (partial) list of future problems and discuss the nature of difficulties in resolving them. |
1402.7043 | Darren Smyth Mr. | Moshe Rozali, Darren Smyth | Fermi Liquids from D-Branes | Corrected typos | JHEP 1405, 129(2014) | 10.1007/JHEP05(2014)129 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss finite density configurations on probe D-branes, in the presence
of worldvolume fermions. To this end we consider a phenomenological model whose
bosonic sector is governed by the DBI action, and whose charged sector is
purely fermionic. In this model, we demonstrate the existence of a compact
worldvolume embedding, stabilized by a Fermi surface on the D- brane. The
finite density state in the boundary QFT is a Fermi-like liquid. We comment on
the possibility of realizing non-Fermi liquids in this setup.
| [
{
"created": "Thu, 27 Feb 2014 19:55:16 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2015 22:20:34 GMT",
"version": "v2"
}
] | 2015-12-15 | [
[
"Rozali",
"Moshe",
""
],
[
"Smyth",
"Darren",
""
]
] | We discuss finite density configurations on probe D-branes, in the presence of worldvolume fermions. To this end we consider a phenomenological model whose bosonic sector is governed by the DBI action, and whose charged sector is purely fermionic. In this model, we demonstrate the existence of a compact worldvolume embedding, stabilized by a Fermi surface on the D- brane. The finite density state in the boundary QFT is a Fermi-like liquid. We comment on the possibility of realizing non-Fermi liquids in this setup. |
1707.06686 | Andrei T. Patrascu | Andrei T. Patrascu | Anomaly cancellation by generalised cohomology | To be published in European Physical Journal C | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric states in M-theory are mapped after compactification to
perturbatively non-supersymmetric states in type IIA string theory, with the
supersymmetric parts being encoded in the non-perturbative section of the
string theory. An observer unable to recognise certain topological features of
string theory will not detect supersymmetry. Such relativity of symmetry can
also be derived in the context of Theorem 3 in ref. [11]. The tool of choice in
this context is the universal coefficient theorem linking cohomology theories
with coefficients that reveal respectively hide certain topological features.
As a consequence of these observations, it is shown that the same theorem is
capable of linking perturbative with non-perturbative string theoretical
domains. A discussion of inflow anomaly cancellation is also included in the
context of universal coefficient theorems.
| [
{
"created": "Tue, 4 Jul 2017 14:10:29 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Mar 2024 06:45:45 GMT",
"version": "v2"
}
] | 2024-03-06 | [
[
"Patrascu",
"Andrei T.",
""
]
] | Supersymmetric states in M-theory are mapped after compactification to perturbatively non-supersymmetric states in type IIA string theory, with the supersymmetric parts being encoded in the non-perturbative section of the string theory. An observer unable to recognise certain topological features of string theory will not detect supersymmetry. Such relativity of symmetry can also be derived in the context of Theorem 3 in ref. [11]. The tool of choice in this context is the universal coefficient theorem linking cohomology theories with coefficients that reveal respectively hide certain topological features. As a consequence of these observations, it is shown that the same theorem is capable of linking perturbative with non-perturbative string theoretical domains. A discussion of inflow anomaly cancellation is also included in the context of universal coefficient theorems. |
1310.6052 | Willy Fischler | Tom Banks and Willy Fischler | Holographic Space-time and Newton's Law | 10 pages, no figures, missing appendix added, acknowledgments updated | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive Newton's Law from the formalism of Holographic Space-Time (HST).
More precisely, we show that for a large class of Hamiltonians of the type
proposed previously for the HST description of a geodesic in Minkowski space,
the eikonal for scattering of two massless particles at large impact parameter
scales as expected with the impact parameter and the energies of the particles
in the center of mass (CM) frame. We also discuss the criteria for black hole
production in this collision, and find an estimate, purely within the HST
framework, for the impact parameter at which it sets in, which coincides with
the estimate based on general relativity.
| [
{
"created": "Tue, 22 Oct 2013 20:20:45 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2013 16:16:41 GMT",
"version": "v2"
}
] | 2013-10-28 | [
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
]
] | We derive Newton's Law from the formalism of Holographic Space-Time (HST). More precisely, we show that for a large class of Hamiltonians of the type proposed previously for the HST description of a geodesic in Minkowski space, the eikonal for scattering of two massless particles at large impact parameter scales as expected with the impact parameter and the energies of the particles in the center of mass (CM) frame. We also discuss the criteria for black hole production in this collision, and find an estimate, purely within the HST framework, for the impact parameter at which it sets in, which coincides with the estimate based on general relativity. |
hep-th/9310101 | Steve Giddings | S.B. Giddings | Comments on information loss and remnants | 30 pages (harvmac l mode) UCSBTH-93-35 (minor reference and typo
corrections) | Phys. Rev. D 49, 4078 (1994) | 10.1103/PhysRevD.49.4078 | null | hep-th | null | The information loss and remnant proposals for resolving the black hole
information paradox are reconsidered. It is argued that in typical cases
information loss implies energy loss, and thus can be thought of in terms of
coupling to a spectrum of ``fictitious'' remnants. This suggests proposals for
information loss that do not imply planckian energy fluctuations in the low
energy world. However, if consistency of gravity prevents energy
non-conservation, these remnants must then be considered to be real. In either
case, the catastrophe corresponding to infinite pair production remains a
potential problem. Using Reissner-Nordstrom black holes as a paradigm for a
theory of remnants, it is argued that couplings in such a theory may give
finite production despite an infinite spectrum. Evidence for this is found in
analyzing the instanton for Schwinger production; fluctuations from the
infinite number of states lead to a divergent stress tensor, spoiling the
instanton calculation. Therefore naive arguements for infinite production fail.
| [
{
"created": "Sat, 16 Oct 1993 00:55:14 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Oct 1993 01:33:28 GMT",
"version": "v2"
}
] | 2013-11-13 | [
[
"Giddings",
"S. B.",
""
]
] | The information loss and remnant proposals for resolving the black hole information paradox are reconsidered. It is argued that in typical cases information loss implies energy loss, and thus can be thought of in terms of coupling to a spectrum of ``fictitious'' remnants. This suggests proposals for information loss that do not imply planckian energy fluctuations in the low energy world. However, if consistency of gravity prevents energy non-conservation, these remnants must then be considered to be real. In either case, the catastrophe corresponding to infinite pair production remains a potential problem. Using Reissner-Nordstrom black holes as a paradigm for a theory of remnants, it is argued that couplings in such a theory may give finite production despite an infinite spectrum. Evidence for this is found in analyzing the instanton for Schwinger production; fluctuations from the infinite number of states lead to a divergent stress tensor, spoiling the instanton calculation. Therefore naive arguements for infinite production fail. |
1202.6029 | Andrei Mironov | A. Mironov, A. Morozov and Z. Zakirova | Comment on integrability in Dijkgraaf-Vafa beta-ensembles | 6 pages | Physics Letters B 711 (2012), pp. 332-335 | 10.1016/j.physletb.2012.04.036 | FIAN/TD-01/12; ITEP/TH-07/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We briefly discuss the recent claims that the ordinary KP/Toda integrability,
which is a characteristic property of ordinary eigenvalue matrix models,
persists also for the Dijkgraaf-Vafa (DV) partition functions and for the
refined topological vertex. We emphasize that in both cases what is meant is a
particular representation of partition functions: a peculiar sum over all DV
phases in the first case and hiding the deformation parameters in a
sophisticated potential in the second case, i.e. essentially a reformulation of
some questions in the new theory in the language of the old one. It is at best
obscure if this treatment can be made consistent with the AGT relations and
even with the quantization of the underlying integrable systems in the
Nekrasov-Shatashvili limit, which seem to require a full-scale beta-deformation
of individual DV partition functions. Thus, it is unclear if the story of
integrability is indeed closed by these recent considerations.
| [
{
"created": "Mon, 27 Feb 2012 19:14:57 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Zakirova",
"Z.",
""
]
] | We briefly discuss the recent claims that the ordinary KP/Toda integrability, which is a characteristic property of ordinary eigenvalue matrix models, persists also for the Dijkgraaf-Vafa (DV) partition functions and for the refined topological vertex. We emphasize that in both cases what is meant is a particular representation of partition functions: a peculiar sum over all DV phases in the first case and hiding the deformation parameters in a sophisticated potential in the second case, i.e. essentially a reformulation of some questions in the new theory in the language of the old one. It is at best obscure if this treatment can be made consistent with the AGT relations and even with the quantization of the underlying integrable systems in the Nekrasov-Shatashvili limit, which seem to require a full-scale beta-deformation of individual DV partition functions. Thus, it is unclear if the story of integrability is indeed closed by these recent considerations. |
1606.01712 | Benoit Vicedo | Francois Delduc, Sylvain Lacroix, Marc Magro, Benoit Vicedo | On q-deformed symmetries as Poisson-Lie symmetries and application to
Yang-Baxter type models | 45 pages | J. Phys. A: Math. Theor. 49 (2016) 415402 | 10.1088/1751-8113/49/41/415402 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Yang-Baxter type models are integrable deformations of integrable field
theories, such as the principal chiral model on a Lie group $G$ or
$\sigma$-models on (semi-)symmetric spaces $G/F$. The deformation has the
effect of breaking the global $G$-symmetry of the original model, replacing the
associated set of conserved charges by ones whose Poisson brackets are those of
the $q$-deformed Poisson-Hopf algebra $\mathscr U_q(\mathfrak g)$. Working at
the Hamiltonian level, we show how this $q$-deformed Poisson algebra originates
from a Poisson-Lie $G$-symmetry. The theory of Poisson-Lie groups and their
actions on Poisson manifolds, in particular the formalism of the non-abelian
moment map, is reviewed. For a coboundary Poisson-Lie group $G$, this
non-abelian moment map must obey the Semenov-Tian-Shansky bracket on the dual
group $G^*$, up to terms involving central quantities. When the latter vanish,
we develop a general procedure linking this Poisson bracket to the defining
relations of the Poisson-Hopf algebra $\mathscr U_q(\mathfrak g)$, including
the $q$-Poisson-Serre relations. We consider reality conditions leading to $q$
being either real or a phase. We determine the non-abelian moment map for
Yang-Baxter type models. This enables to compute the corresponding action of
$G$ on the fields parametrising the phase space of these models.
| [
{
"created": "Mon, 6 Jun 2016 12:22:40 GMT",
"version": "v1"
}
] | 2020-09-03 | [
[
"Delduc",
"Francois",
""
],
[
"Lacroix",
"Sylvain",
""
],
[
"Magro",
"Marc",
""
],
[
"Vicedo",
"Benoit",
""
]
] | Yang-Baxter type models are integrable deformations of integrable field theories, such as the principal chiral model on a Lie group $G$ or $\sigma$-models on (semi-)symmetric spaces $G/F$. The deformation has the effect of breaking the global $G$-symmetry of the original model, replacing the associated set of conserved charges by ones whose Poisson brackets are those of the $q$-deformed Poisson-Hopf algebra $\mathscr U_q(\mathfrak g)$. Working at the Hamiltonian level, we show how this $q$-deformed Poisson algebra originates from a Poisson-Lie $G$-symmetry. The theory of Poisson-Lie groups and their actions on Poisson manifolds, in particular the formalism of the non-abelian moment map, is reviewed. For a coboundary Poisson-Lie group $G$, this non-abelian moment map must obey the Semenov-Tian-Shansky bracket on the dual group $G^*$, up to terms involving central quantities. When the latter vanish, we develop a general procedure linking this Poisson bracket to the defining relations of the Poisson-Hopf algebra $\mathscr U_q(\mathfrak g)$, including the $q$-Poisson-Serre relations. We consider reality conditions leading to $q$ being either real or a phase. We determine the non-abelian moment map for Yang-Baxter type models. This enables to compute the corresponding action of $G$ on the fields parametrising the phase space of these models. |
hep-th/0509192 | Etera R. Livine | E.R. Livine, D. Oriti | Coherent States for 3d Deformed Special Relativity: semi-classical
points in a quantum flat spacetime | RevTeX4, 20 pages | JHEP 0511:050,2005 | 10.1088/1126-6708/2005/11/050 | null | hep-th gr-qc | null | We analyse the quantum geometry of 3-dimensional deformed special relativity
(DSR) and the notion of spacetime points in such a context, identified with
coherent states that minimize the uncertainty relations among spacetime
coordinates operators. We construct this system of coherent states in both the
Riemannian and Lorentzian case, and study their properties and their geometric
interpretation.
| [
{
"created": "Mon, 26 Sep 2005 19:03:51 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Livine",
"E. R.",
""
],
[
"Oriti",
"D.",
""
]
] | We analyse the quantum geometry of 3-dimensional deformed special relativity (DSR) and the notion of spacetime points in such a context, identified with coherent states that minimize the uncertainty relations among spacetime coordinates operators. We construct this system of coherent states in both the Riemannian and Lorentzian case, and study their properties and their geometric interpretation. |
0807.4084 | Costas Kounnas Dr | Tristan Catelin-Jullien, Alon E. Faraggi, Costas Kounnas and John
Rizos | Spinor-Vector Duality in Heterotic SUSY Vacua | 28 pages, 6 tables | Nucl.Phys.B812:103-127,2009 | 10.1016/j.nuclphysb.2008.12.007 | LPTENS 08/33, LTH 797 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate on the recently discovered spinor-vector duality in realistic
free fermionic heterotic vacua. We emphasize the interpretation of the
freely-acting orbifolds carried out on the six internal dimensions as
coordinate-dependent compactifications; they play a central role in the
duality, especially because of their ability to break the right-moving
superconformal algebra of the space-time supersymmetric heterotic vacua. These
considerations lead to a simple and intuitive proof of the spinor-vector
duality, and to the formulation of explicit rules to find the dual of a given
model. We discuss the interest of such a duality, notably concerning the
structure of the space of vacua of superstring theory.
| [
{
"created": "Fri, 25 Jul 2008 12:17:53 GMT",
"version": "v1"
}
] | 2009-02-12 | [
[
"Catelin-Jullien",
"Tristan",
""
],
[
"Faraggi",
"Alon E.",
""
],
[
"Kounnas",
"Costas",
""
],
[
"Rizos",
"John",
""
]
] | We elaborate on the recently discovered spinor-vector duality in realistic free fermionic heterotic vacua. We emphasize the interpretation of the freely-acting orbifolds carried out on the six internal dimensions as coordinate-dependent compactifications; they play a central role in the duality, especially because of their ability to break the right-moving superconformal algebra of the space-time supersymmetric heterotic vacua. These considerations lead to a simple and intuitive proof of the spinor-vector duality, and to the formulation of explicit rules to find the dual of a given model. We discuss the interest of such a duality, notably concerning the structure of the space of vacua of superstring theory. |
2104.00967 | Abhijit Das | B. Ananthanarayan, Abhijit B. Das and Daniel Wyler | The Hopf Algebra Structure of the Two Loop Three Mass Non-Planar Feynman
Diagram | 26 pages, 5 main figures, 1 table, 1 footnote; Compared to v1, many
improvements in discussion. A new section (sec. 8) has been added which now
gives the full result. Discussion and conclusions extended and improved.
Abstract and introduction also amended to account for the new calculation.
New references added | Phys. Rev. D 104, 076002 (2021) | 10.1103/PhysRevD.104.076002 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The method of using Hopf algebras for calculating Feynman integrals developed
by Abreu et al. is applied to the two-loop non-planar on-shell diagram with
massless propagators and three external mass scales. We show that the existence
of the method of cut Feynman diagrams comprising of the coproduct, the first
entry condition and integrability condition that was found to be true for the
planar case also holds for the non-planar case; furthermore, the non-planar
symbol alphabet is the same as for the planar case. This is one of the main
results of this work, and they have been obtained by a systematic analysis of
the relevant cuts, using the symbolic manipulation codes HypExp and
PolyLogTools. The obtained result for the symbol is cross-checked by an
analysis of the known two-loop original Feynman integral result. In addition,
we also reconstruct the full result from the symbol. This is the other main
result in this paper.
| [
{
"created": "Fri, 2 Apr 2021 10:15:04 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jul 2021 09:31:05 GMT",
"version": "v2"
}
] | 2021-11-03 | [
[
"Ananthanarayan",
"B.",
""
],
[
"Das",
"Abhijit B.",
""
],
[
"Wyler",
"Daniel",
""
]
] | The method of using Hopf algebras for calculating Feynman integrals developed by Abreu et al. is applied to the two-loop non-planar on-shell diagram with massless propagators and three external mass scales. We show that the existence of the method of cut Feynman diagrams comprising of the coproduct, the first entry condition and integrability condition that was found to be true for the planar case also holds for the non-planar case; furthermore, the non-planar symbol alphabet is the same as for the planar case. This is one of the main results of this work, and they have been obtained by a systematic analysis of the relevant cuts, using the symbolic manipulation codes HypExp and PolyLogTools. The obtained result for the symbol is cross-checked by an analysis of the known two-loop original Feynman integral result. In addition, we also reconstruct the full result from the symbol. This is the other main result in this paper. |
hep-th/9811158 | Garnik G. Alexanian | G.Alexanian and E.F.Moreno | On the Renormalization of Hamiltonians | 12 pages, LaTeX | Phys.Lett. B450 (1999) 149-157 | 10.1016/S0370-2693(99)00136-7 | CCNY-HEP 98/8 | hep-th | null | We introduce a novel method for the renormalization of the Hamiltonian
operator in Quantum Field Theory in the spirit of the Wilson renormalization
group. By a series of unitary transformations that successively decouples the
high-frequency degrees of freedom and partially diagonalizes the high-energy
part, we obtain the effective Hamiltonian for the low energy degrees of
freedom. We successfully apply this technique to compute the 2-loop
renormalized Hamiltonian in scalar $\lambda \phi^4$ theory.
| [
{
"created": "Tue, 17 Nov 1998 01:00:09 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Alexanian",
"G.",
""
],
[
"Moreno",
"E. F.",
""
]
] | We introduce a novel method for the renormalization of the Hamiltonian operator in Quantum Field Theory in the spirit of the Wilson renormalization group. By a series of unitary transformations that successively decouples the high-frequency degrees of freedom and partially diagonalizes the high-energy part, we obtain the effective Hamiltonian for the low energy degrees of freedom. We successfully apply this technique to compute the 2-loop renormalized Hamiltonian in scalar $\lambda \phi^4$ theory. |
hep-th/9902045 | Oskar Pelc | Oskar Pelc and Ruud Siebelink | The D2-D6 System and a Fibered AdS Geometry | 35 pages (Latex) and 2 figures (encapsulated postscript). Ver2: added
discussion of the relation to the system without D6 branes (in the
introduction and in figure 1); added description of the geometrical
realization of the R symmetries (in section 3.1) | Nucl.Phys.B558:127-158,1999 | 10.1016/S0550-3213(99)00332-6 | EFI-99-3, KUL-TF-99/06 | hep-th | null | The system of D2 branes localized on or near D6 branes is considered. The
world-volume theory on the D2 branes is investigated, using its conjectured
relation to the near-horizon geometry. The results are in agreement with known
facts and expectations for the corresponding field theory and a rich phase
structure is obtained as a function of the energy scale and the number of
branes. In particular, for an intermediate range of the number of D6 branes,
the IR geometry is that of an AdS_4 space fibered over a compact space. This
D2-D6 system is compared to other systems, related to it by compactification
and duality and it is shown that the qualitative differences have compatible
explanations in the geometric and field-theoretic descriptions. Another system
-- that of NS5 branes located at D6 branes -- is also briefly studied, leading
to a similar phase structure.
| [
{
"created": "Sat, 6 Feb 1999 00:24:55 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 1999 20:59:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Pelc",
"Oskar",
""
],
[
"Siebelink",
"Ruud",
""
]
] | The system of D2 branes localized on or near D6 branes is considered. The world-volume theory on the D2 branes is investigated, using its conjectured relation to the near-horizon geometry. The results are in agreement with known facts and expectations for the corresponding field theory and a rich phase structure is obtained as a function of the energy scale and the number of branes. In particular, for an intermediate range of the number of D6 branes, the IR geometry is that of an AdS_4 space fibered over a compact space. This D2-D6 system is compared to other systems, related to it by compactification and duality and it is shown that the qualitative differences have compatible explanations in the geometric and field-theoretic descriptions. Another system -- that of NS5 branes located at D6 branes -- is also briefly studied, leading to a similar phase structure. |
hep-th/0012210 | Seiji Terashima | Tadashi Takayanagi, Seiji Terashima and Tadaoki Uesugi | Brane-Antibrane Action from Boundary String Field Theory | 38 pages, LaTeX, no figures. minor corrections and clarification.
references added | JHEP 0103:019,2001 | 10.1088/1126-6708/2001/03/019 | UT-919 | hep-th | null | In this paper we give the boundary string field theory description of
brane-antibrane systems. From the world-sheet action of brane-antibrane systems
we obtain the tachyon potential and discuss the tachyon condensation exactly.
We also find the world-volume action including the gauge fields. Moreover we
determine RR-couplings exactly for non-BPS branes and brane-antibranes. These
couplings are written by superconnections and correspond to K^1(M) and K^0(M)
for the non-BPS branes and brane-antibranes, respectively. We also show that
Myers terms appear if we include the transverse scalars in the boundary sigma
model action.
| [
{
"created": "Thu, 21 Dec 2000 23:52:51 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2000 04:43:44 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jan 2001 11:44:19 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Takayanagi",
"Tadashi",
""
],
[
"Terashima",
"Seiji",
""
],
[
"Uesugi",
"Tadaoki",
""
]
] | In this paper we give the boundary string field theory description of brane-antibrane systems. From the world-sheet action of brane-antibrane systems we obtain the tachyon potential and discuss the tachyon condensation exactly. We also find the world-volume action including the gauge fields. Moreover we determine RR-couplings exactly for non-BPS branes and brane-antibranes. These couplings are written by superconnections and correspond to K^1(M) and K^0(M) for the non-BPS branes and brane-antibranes, respectively. We also show that Myers terms appear if we include the transverse scalars in the boundary sigma model action. |
0812.1840 | Anton Zeitlin | Anton M. Zeitlin | Conformal Field Theory and Algebraic Structure of Gauge Theory | LaTeX2e, 33 pages, minor revisions, typos corrected, published
version | JHEP 1003:056,2010 | 10.1007/JHEP03(2010)056 | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider various homotopy algebras related to Yang-Mills theory and
two-dimensional conformal field theory (CFT). Our main objects of study are
Yang-Mills $L_{\infty}$ and $C_{\infty}$ algebras and their relation to the
certain algebraic structures of Lian-Zuckerman type in CFT. We also consider
several examples of algebras related to gauge theory, involving first order
formulations and gauge theories with matter fields.
| [
{
"created": "Wed, 10 Dec 2008 04:31:34 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Dec 2009 19:40:13 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Apr 2010 17:18:18 GMT",
"version": "v3"
}
] | 2011-06-02 | [
[
"Zeitlin",
"Anton M.",
""
]
] | We consider various homotopy algebras related to Yang-Mills theory and two-dimensional conformal field theory (CFT). Our main objects of study are Yang-Mills $L_{\infty}$ and $C_{\infty}$ algebras and their relation to the certain algebraic structures of Lian-Zuckerman type in CFT. We also consider several examples of algebras related to gauge theory, involving first order formulations and gauge theories with matter fields. |
hep-th/9211137 | Anatol Kirillov | Anatol N. Kirillov | Dilogarithm identities and spectra in conformal field theory | 10 pages | null | null | null | hep-th math.CA | null | We prove new identities between the values of Rogers dilogarithm function and
describe a connection between these identities and spectra in conformal field
theory.
| [
{
"created": "Mon, 30 Nov 1992 14:32:00 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Kirillov",
"Anatol N.",
""
]
] | We prove new identities between the values of Rogers dilogarithm function and describe a connection between these identities and spectra in conformal field theory. |
1810.08991 | Davood Mahdavian Yekta | Davood Mahdavian Yekta and Morteza Shariat | Propagation of a scalar field with non-minimal coupling in three
dimensions: Hawking radiation and Quasinormal modes | 20 pages, 6 figures, Accepted version | null | 10.1088/1361-6382/ab3762 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we investigate an exact spectrum of quasi normal modes (QNMs)
for perturbations of a scalar field coupled non-minimally with the Einstein
tensor of an uncharged, non-rotating Banados, Teitelboim, and Zanelli (BTZ)
black hole in three-dimensional spacetime. Due to the geometry around the black
hole, the scalar field encounters an effective potential barrier. We study this
potential numerically and derive exact numerical results for the greybody
factors (GFs) and discuss their profiles in terms of the coupling constant and
black hole parameters. We then proceed to derive the Hawking radiation spectrum
for BTZ black hole.
| [
{
"created": "Sun, 21 Oct 2018 17:32:37 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Aug 2019 14:01:30 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Yekta",
"Davood Mahdavian",
""
],
[
"Shariat",
"Morteza",
""
]
] | In this paper we investigate an exact spectrum of quasi normal modes (QNMs) for perturbations of a scalar field coupled non-minimally with the Einstein tensor of an uncharged, non-rotating Banados, Teitelboim, and Zanelli (BTZ) black hole in three-dimensional spacetime. Due to the geometry around the black hole, the scalar field encounters an effective potential barrier. We study this potential numerically and derive exact numerical results for the greybody factors (GFs) and discuss their profiles in terms of the coupling constant and black hole parameters. We then proceed to derive the Hawking radiation spectrum for BTZ black hole. |
hep-th/0011062 | Motavali | Hossein Motavali, Hadi Salehi and Mehdi Golshani | Conformal Invariance and Wave-Particle Duality | 5 pages | Mod.Phys.Lett. A14 (1999) 2481 | 10.1142/S0217732399002583 | null | hep-th | null | We present a conformally invariant generalized form of the free particle
action by connecting the wave and particle aspects through gravity. Conformal
invariance breaking is introduced by choosing a particular configurat$ of
dynamical variables. This leads to the geometrization of the quantum aspects of
matter.
| [
{
"created": "Wed, 8 Nov 2000 23:25:50 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Aug 2001 10:25:45 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Motavali",
"Hossein",
""
],
[
"Salehi",
"Hadi",
""
],
[
"Golshani",
"Mehdi",
""
]
] | We present a conformally invariant generalized form of the free particle action by connecting the wave and particle aspects through gravity. Conformal invariance breaking is introduced by choosing a particular configurat$ of dynamical variables. This leads to the geometrization of the quantum aspects of matter. |
0912.3520 | Paolo Pani | Mariano Cadoni, Giuseppe D'Appollonio, Paolo Pani | Phase transitions between Reissner-Nordstrom and dilatonic black holes
in 4D AdS spacetime | 19 pages - v2: minor corrections and additional references -v3:
Figs.5 changed and additional comments. Version accepted in JHEP | JHEP 1003:100,2010 | 10.1007/JHEP03(2010)100 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Einstein-Maxwell-dilaton gravity models in four-dimensional anti-de
Sitter (AdS) spacetime which admit the Reissner-Nordstrom (RN) black hole
solution. We show that below a critical temperature the AdS-RN solution becomes
unstable against scalar perturbations and the gravitational system undergoes a
phase transition. We show using numerical calculations that the new phase is a
charged dilatonic black hole. Using the AdS/CFT correspondence we discuss the
phase transition in the dual field theory both for non-vanishing temperatures
and in the extremal limit. The extremal solution has a Lifshitz scaling
symmetry. We discuss the optical conductivity in the new dual phase and find
interesting behavior at low frequencies where it shows a "Drude peak". The
resistivity varies with temperature in a non-monotonic way and displays a
minimum at low temperatures which is reminiscent of the celebrated Kondo
effect.
| [
{
"created": "Thu, 17 Dec 2009 20:54:40 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 2009 18:51:02 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Mar 2010 10:19:07 GMT",
"version": "v3"
}
] | 2010-08-20 | [
[
"Cadoni",
"Mariano",
""
],
[
"D'Appollonio",
"Giuseppe",
""
],
[
"Pani",
"Paolo",
""
]
] | We study Einstein-Maxwell-dilaton gravity models in four-dimensional anti-de Sitter (AdS) spacetime which admit the Reissner-Nordstrom (RN) black hole solution. We show that below a critical temperature the AdS-RN solution becomes unstable against scalar perturbations and the gravitational system undergoes a phase transition. We show using numerical calculations that the new phase is a charged dilatonic black hole. Using the AdS/CFT correspondence we discuss the phase transition in the dual field theory both for non-vanishing temperatures and in the extremal limit. The extremal solution has a Lifshitz scaling symmetry. We discuss the optical conductivity in the new dual phase and find interesting behavior at low frequencies where it shows a "Drude peak". The resistivity varies with temperature in a non-monotonic way and displays a minimum at low temperatures which is reminiscent of the celebrated Kondo effect. |
hep-th/9307106 | Francesco Toppan | F. Delduc, L. Frappat, P. Sorba, F. Toppan and E. Ragoucy | Rational $ W $ algebras from composite operators | 11 pages, LATEX, preprint ENSLAPP-AL-429/93 and NORDITA-93/47-P | Phys.Lett. B318 (1993) 457-464 | 10.1016/0370-2693(93)91539-Y | null | hep-th | null | Factoring out the spin $1$ subalgebra of a $ W $ algebra leads to a new $ W $
structure which can be seen either as a rational finitely generated $ W $
algebra or as a polynomial non-linear $ W_\infty$ realization.
| [
{
"created": "Fri, 16 Jul 1993 12:11:41 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Delduc",
"F.",
""
],
[
"Frappat",
"L.",
""
],
[
"Sorba",
"P.",
""
],
[
"Toppan",
"F.",
""
],
[
"Ragoucy",
"E.",
""
]
] | Factoring out the spin $1$ subalgebra of a $ W $ algebra leads to a new $ W $ structure which can be seen either as a rational finitely generated $ W $ algebra or as a polynomial non-linear $ W_\infty$ realization. |
hep-th/0102107 | Chris Austin | Chris Austin | Group-Variation Equations for the Coefficients in the 1/N Expansions of
Physical Quantities in SU(N) Gauge Theories in D=3+1 | Single LaTeX2e file, 271 pages, no external macros, contains simple
LaTeX pictures. Updated 2 references, corrected 1 diagram, 1 sentence,
(deleted 3 words), 68 minor typos. Results unchanged. Version 3: Corrected 5
typos, improved 6 bibliography entries, added 1 reference. Moved table of
contents to immediately after the abstract. Rearranged page numbers to run
consecutively from the first page | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The coefficients in the 1/N expansions of the vacuum expectation values and
correlation functions of Wilson loops, in continuum SU(N) gauge theories in 3+1
dimensions, are shown to be determined by a closed and complete set of
equations, called the Group-Variation Equations, that exhibit a simple and
robust mechanism for the emergence of massive glueballs and the Wilson area
law. The equations predict that the cylinder-topology minimal-area spanning
surface term in the two-glueball correlation function, when it exists, must be
multiplied by a pre-exponential factor, which for large area A of the
minimal-area cylinder-topology surface, decreases with increasing A at least as
fast as $1/\ln(\sigma A)$. If this factor decreases faster than $1/\ln(\sigma
A)$, then the mass $m_{0^{++}}$ of the lightest glueball, and the coefficient
$\sigma$ of the area in the Wilson area law, are determined in a precisely
parallel manner, and the equations give a zeroth-order estimate of
$m_{0^{++}}/\sqrt{\sigma}$ of 2.38, about 33% less than the best lattice value,
without the need for a full calculation of any of the terms in the right-hand
sides. The large distance behaviour of the vacuum expectation values and
correlation functions is completely determined by terms called island diagrams,
the dominant contributions to which come from islands of \emph{fixed} size of
about $1/\sqrt{\sigma}$. The value of $\sigma$ is determined by the point at
which $|\beta(g)/g|$ reaches a critical value, and since the large distance
behaviour of all physical quantities is determined by islands of the fixed size
$1/\sqrt{\sigma}$, the running coupling $g^2$ never increases beyond the value
at which $|\beta(g)/g|$ reaches the critical value.
| [
{
"created": "Sun, 18 Feb 2001 23:08:53 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2001 19:24:56 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Jun 2010 14:37:50 GMT",
"version": "v3"
}
] | 2010-06-29 | [
[
"Austin",
"Chris",
""
]
] | The coefficients in the 1/N expansions of the vacuum expectation values and correlation functions of Wilson loops, in continuum SU(N) gauge theories in 3+1 dimensions, are shown to be determined by a closed and complete set of equations, called the Group-Variation Equations, that exhibit a simple and robust mechanism for the emergence of massive glueballs and the Wilson area law. The equations predict that the cylinder-topology minimal-area spanning surface term in the two-glueball correlation function, when it exists, must be multiplied by a pre-exponential factor, which for large area A of the minimal-area cylinder-topology surface, decreases with increasing A at least as fast as $1/\ln(\sigma A)$. If this factor decreases faster than $1/\ln(\sigma A)$, then the mass $m_{0^{++}}$ of the lightest glueball, and the coefficient $\sigma$ of the area in the Wilson area law, are determined in a precisely parallel manner, and the equations give a zeroth-order estimate of $m_{0^{++}}/\sqrt{\sigma}$ of 2.38, about 33% less than the best lattice value, without the need for a full calculation of any of the terms in the right-hand sides. The large distance behaviour of the vacuum expectation values and correlation functions is completely determined by terms called island diagrams, the dominant contributions to which come from islands of \emph{fixed} size of about $1/\sqrt{\sigma}$. The value of $\sigma$ is determined by the point at which $|\beta(g)/g|$ reaches a critical value, and since the large distance behaviour of all physical quantities is determined by islands of the fixed size $1/\sqrt{\sigma}$, the running coupling $g^2$ never increases beyond the value at which $|\beta(g)/g|$ reaches the critical value. |
2104.07233 | Daniel Jafferis | Daniel L. Jafferis and Elliot Schneider | Stringy ER=EPR | 94 pages, 19 figures. v2: Clarifications and summary added to the
introduction, citations fixed | null | 10.1007/JHEP10(2022)195 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ER = EPR correspondence relates a superposition of entangled,
disconnected spacetimes to a connected spacetime with an Einstein-Rosen bridge.
We construct examples in which both sides may be described by weakly-coupled
string theory. The relation between them is given by a Lorentzian continuation
of the FZZ duality of the two-dimensional Euclidean black hole CFT in one
example, and in another example by continuation of a similar duality that we
propose for the asymptotic Euclidean AdS3 black hole. This gives a microscopic
understanding of ER = EPR: one has a worldsheet duality between string theory
in a connected, eternal black hole, and in a superposition of disconnected
geometries in an entangled state. The disconnected description includes a
condensate of entangled folded strings emanating from a strong-coupling region
in place of a horizon. Our construction relies on a Lorentzian interpretation
of Euclidean time winding operators via angular quantization, as well as some
lesser known worldsheet string theories, such as perturbation theory around a
thermofield-double state, which we define using Schwinger-Keldysh contours in
target space.
| [
{
"created": "Thu, 15 Apr 2021 04:50:46 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jul 2021 16:26:59 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Oct 2022 16:25:59 GMT",
"version": "v3"
}
] | 2022-11-23 | [
[
"Jafferis",
"Daniel L.",
""
],
[
"Schneider",
"Elliot",
""
]
] | The ER = EPR correspondence relates a superposition of entangled, disconnected spacetimes to a connected spacetime with an Einstein-Rosen bridge. We construct examples in which both sides may be described by weakly-coupled string theory. The relation between them is given by a Lorentzian continuation of the FZZ duality of the two-dimensional Euclidean black hole CFT in one example, and in another example by continuation of a similar duality that we propose for the asymptotic Euclidean AdS3 black hole. This gives a microscopic understanding of ER = EPR: one has a worldsheet duality between string theory in a connected, eternal black hole, and in a superposition of disconnected geometries in an entangled state. The disconnected description includes a condensate of entangled folded strings emanating from a strong-coupling region in place of a horizon. Our construction relies on a Lorentzian interpretation of Euclidean time winding operators via angular quantization, as well as some lesser known worldsheet string theories, such as perturbation theory around a thermofield-double state, which we define using Schwinger-Keldysh contours in target space. |
hep-th/9508122 | Leonid Burakovsky | L. Burakovsky and L.P. Horwitz | Generalized Boltzmann Equation in a Manifestly Covariant Relativistic
Statistical Mechanics | null | Found.Phys. 25 (1995) 1335-1358 | 10.1007/BF02055334 | null | hep-th | null | We consider the relativistic statistical mechanics of an ensemble of $N$
events with motion in space-time parametrized by an invariant ``historical
time'' $\tau .$ We generalize the approach of Yang and Yao, based on the Wigner
distribution functions and the Bogoliubov hypotheses, to find the approximate
dynamical equation for the kinetic state of any nonequilibrium system to the
relativistic case, and obtain a manifestly covariant Boltzmann-type equation
which is a relativistic generalization of the Boltzmann-Uehling-Uhlenbeck (BUU)
equation for indistinguishable particles. This equation is then used to prove
the $H$-theorem for evolution in $\tau .$ In the equilibrium limit, the
covariant forms of the standard statistical mechanical distributions are
obtained. We introduce two-body interactions by means of the direct action
potential $V(q),$ where $q$ is an invariant distance in the Minkowski
space-time. The two-body correlations are taken to have the support in a
relative $O( 2,1)$-invariant subregion of the full spacelike region. The
expressions for the energy density and pressure are obtained and shown to have
the same forms (in terms of an invariant distance parameter) as those of the
nonrelativistic theory and to provide the correct nonrelativistic limit.
| [
{
"created": "Thu, 24 Aug 1995 09:51:53 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Burakovsky",
"L.",
""
],
[
"Horwitz",
"L. P.",
""
]
] | We consider the relativistic statistical mechanics of an ensemble of $N$ events with motion in space-time parametrized by an invariant ``historical time'' $\tau .$ We generalize the approach of Yang and Yao, based on the Wigner distribution functions and the Bogoliubov hypotheses, to find the approximate dynamical equation for the kinetic state of any nonequilibrium system to the relativistic case, and obtain a manifestly covariant Boltzmann-type equation which is a relativistic generalization of the Boltzmann-Uehling-Uhlenbeck (BUU) equation for indistinguishable particles. This equation is then used to prove the $H$-theorem for evolution in $\tau .$ In the equilibrium limit, the covariant forms of the standard statistical mechanical distributions are obtained. We introduce two-body interactions by means of the direct action potential $V(q),$ where $q$ is an invariant distance in the Minkowski space-time. The two-body correlations are taken to have the support in a relative $O( 2,1)$-invariant subregion of the full spacelike region. The expressions for the energy density and pressure are obtained and shown to have the same forms (in terms of an invariant distance parameter) as those of the nonrelativistic theory and to provide the correct nonrelativistic limit. |
hep-th/9701075 | Jose Fernandez Barbon | J.L.F. Barbon | Fermion Exchange between D-instantons | 13 pp, harvmac, typos corrected and references added | Phys.Lett. B404 (1997) 33-40 | 10.1016/S0370-2693(97)00555-8 | CERN-TH/96-360 | hep-th | null | We define fermionic collective coordinates for type-IIB Dirichlet instantons
and discuss some effects of the associated fermionic zero modes within the
dilute gas framework. We show that the standard rules for clustering of zero
modes in the dilute limit, and the fermion-exchange interactions follow from
world-sheet Ward identities. Fermion exchange is strongly attractive at
string-scale distances, which makes the short-distance Hagedorn singularity
between instantons and anti-instantons even stronger.
| [
{
"created": "Wed, 15 Jan 1997 16:39:48 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 1997 18:15:52 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Barbon",
"J. L. F.",
""
]
] | We define fermionic collective coordinates for type-IIB Dirichlet instantons and discuss some effects of the associated fermionic zero modes within the dilute gas framework. We show that the standard rules for clustering of zero modes in the dilute limit, and the fermion-exchange interactions follow from world-sheet Ward identities. Fermion exchange is strongly attractive at string-scale distances, which makes the short-distance Hagedorn singularity between instantons and anti-instantons even stronger. |
hep-th/0109127 | Robert C. Myers | Robert C. Myers and Oyvind Tafjord | Superstars and Giant Gravitons | 15 pages, Latex | JHEP 0111:009,2001 | 10.1088/1126-6708/2001/11/009 | null | hep-th | null | We examine a family of BPS solutions of ten-dimensional type IIb
supergravity. These solutions asymptotically approach AdS_5 X S^5 and carry
internal `angular' momentum on the five-sphere. While a naked singularity
appears at the center of the anti-de Sitter space, we show that it has a
natural physical interpretation in terms of a collection of giant gravitons. We
calculate the distribution of giant gravitons from the dipole field induced in
the Ramond-Ramond five-form, and show that these sources account for the entire
internal momentum carried by the BPS solutions.
| [
{
"created": "Mon, 17 Sep 2001 11:16:26 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Nov 2001 01:46:07 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Myers",
"Robert C.",
""
],
[
"Tafjord",
"Oyvind",
""
]
] | We examine a family of BPS solutions of ten-dimensional type IIb supergravity. These solutions asymptotically approach AdS_5 X S^5 and carry internal `angular' momentum on the five-sphere. While a naked singularity appears at the center of the anti-de Sitter space, we show that it has a natural physical interpretation in terms of a collection of giant gravitons. We calculate the distribution of giant gravitons from the dipole field induced in the Ramond-Ramond five-form, and show that these sources account for the entire internal momentum carried by the BPS solutions. |
1704.03616 | Kazuhiro Yamamoto | Satoshi Iso, Rumi Tatsukawa, Kazushige Ueda, Kazuhiro Yamamoto | Entanglement-induced quantum radiation | 5 pages, 2 figures | Phys. Rev. D 96, 045001 (2017) | 10.1103/PhysRevD.96.045001 | KEK-TH-1970, HUPD-1703 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum entanglement of the Minkowski vacuum state between left and right
Rindler wedges generates thermal behavior in the right Rindler wedge, which is
known as the Unruh effect. In this letter, we show that there is another
consequence of this entanglement, namely entanglement-induced quantum radiation
emanating from a uniformly accelerated object. We clarify why it is in
agreement with our intuition that incoming and outgoing energy fluxes should
cancel each other out in a thermalized state.
| [
{
"created": "Wed, 12 Apr 2017 04:25:53 GMT",
"version": "v1"
}
] | 2017-08-09 | [
[
"Iso",
"Satoshi",
""
],
[
"Tatsukawa",
"Rumi",
""
],
[
"Ueda",
"Kazushige",
""
],
[
"Yamamoto",
"Kazuhiro",
""
]
] | Quantum entanglement of the Minkowski vacuum state between left and right Rindler wedges generates thermal behavior in the right Rindler wedge, which is known as the Unruh effect. In this letter, we show that there is another consequence of this entanglement, namely entanglement-induced quantum radiation emanating from a uniformly accelerated object. We clarify why it is in agreement with our intuition that incoming and outgoing energy fluxes should cancel each other out in a thermalized state. |
1712.08783 | Ya-Peng Hu | Ya-Peng Hu, Xin-Meng Wu, Jun-Peng Hou, Hongsheng Zhang | Universality in the stress tensor for Holographic fluids at the finite
cutoff surface via fluid/gravity correspondence | 12 pages, version rewritten and more discussions added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the stress tensor for holographic fluids at the finite cutoff
surface through perturbing the Schwarzchild-AdS black brane background to the
first order perturbations in the scenario of fluid/gravity correspondence. We
investigate the most general perturbations of the metric without any gauge
fixing. We consider various boundary conditions and demonstrate the properties
of the corresponding holographic fluids. The critical fact is that the spatial
components of the first order stress tensors of the holographic fluids can be
rewritten in a concordant form, which implicates that there is an underlying
universality in the first order stress tensor. We find this universality in the
first order stress tensor for holographic fluids at the finite cutoff surface
by an exhaustive investigation of perturbations of the full bulk metric.
| [
{
"created": "Sat, 23 Dec 2017 15:00:35 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2018 03:04:28 GMT",
"version": "v2"
}
] | 2018-06-22 | [
[
"Hu",
"Ya-Peng",
""
],
[
"Wu",
"Xin-Meng",
""
],
[
"Hou",
"Jun-Peng",
""
],
[
"Zhang",
"Hongsheng",
""
]
] | We investigate the stress tensor for holographic fluids at the finite cutoff surface through perturbing the Schwarzchild-AdS black brane background to the first order perturbations in the scenario of fluid/gravity correspondence. We investigate the most general perturbations of the metric without any gauge fixing. We consider various boundary conditions and demonstrate the properties of the corresponding holographic fluids. The critical fact is that the spatial components of the first order stress tensors of the holographic fluids can be rewritten in a concordant form, which implicates that there is an underlying universality in the first order stress tensor. We find this universality in the first order stress tensor for holographic fluids at the finite cutoff surface by an exhaustive investigation of perturbations of the full bulk metric. |
hep-th/0111173 | Cosmas Zachos | Thomas L Curtright, Alexios P Polychronakos, and Cosmas K Zachos | Area Potentials and Deformation Quantization | LaTeX, 7 pages | Phys.Lett.A295:241-246,2002 | 10.1016/S0375-9601(02)00184-6 | ANL-HEP-PR-01-111 ; Miami TH/2/01 ; RU-01-18-B | hep-th | null | Systems built out of N-body interactions, beyond 2-body interactions, are
formulated on the plane, and investigated classically and quantum mechanically
(in phase space). Their Wigner Functions--the density matrices in phase-space
quantization--are given and analyzed.
| [
{
"created": "Tue, 20 Nov 2001 17:07:44 GMT",
"version": "v1"
}
] | 2009-10-02 | [
[
"Curtright",
"Thomas L",
""
],
[
"Polychronakos",
"Alexios P",
""
],
[
"Zachos",
"Cosmas K",
""
]
] | Systems built out of N-body interactions, beyond 2-body interactions, are formulated on the plane, and investigated classically and quantum mechanically (in phase space). Their Wigner Functions--the density matrices in phase-space quantization--are given and analyzed. |
hep-th/9311140 | Sylvie Zaffanella | Sergey V. Shabanov | A transition amplitude on the gauge orbit space | Saclay-T93/129 Email: shabanov@amoco.saclay.cea.fr | null | null | null | hep-th | null | A general procedure for deriving the path integral representation of a
transition amplitude on the gauge orbit space having a non-trivial topology is
proposed. The path integral formula appears to be modified by including
trajectories reflected from the physical configuration space boundary into the
sum over paths. A solution of the Gribov problem of gauge fixing ambiguities is
given in the framework of the path integral modified. Email contact:
shabanov@amoco.saclay.cea.fr
| [
{
"created": "Tue, 23 Nov 1993 09:43:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shabanov",
"Sergey V.",
""
]
] | A general procedure for deriving the path integral representation of a transition amplitude on the gauge orbit space having a non-trivial topology is proposed. The path integral formula appears to be modified by including trajectories reflected from the physical configuration space boundary into the sum over paths. A solution of the Gribov problem of gauge fixing ambiguities is given in the framework of the path integral modified. Email contact: shabanov@amoco.saclay.cea.fr |
1303.0688 | Andr\'es Fernando Reyes-Lega | A. P. Balachandran, T. R. Govindarajan, Amilcar R. de Queiroz, A. F.
Reyes-Lega | Entanglement and Particle Identity: A Unifying Approach | Published version. Based on arxiv 1205.2882 | Phys. Rev. Lett. 110, 080503 (2013) | 10.1103/PhysRevLett.110.080503 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been known for some years that entanglement entropy obtained from
partial trace does not provide the correct entanglement measure when applied to
systems of identical particles. Several criteria have been proposed that have
the drawback of being different according to whether one is dealing with
fermions, bosons or distinguishable particles. In this Letter, we give a
precise and mathematically natural answer to this problem. Our approach is
based on the use of the more general idea of restriction of states to
subalgebras. It leads to a novel approach to entanglement, suitable to be used
in general quantum systems and specially in systems of identical particles.
This settles some recent controversy regarding entanglement for identical
particles. The prospects for applications of our criteria are wide-ranging,
from spin chains in condensed matter to entropy of black holes.
| [
{
"created": "Mon, 4 Mar 2013 12:50:50 GMT",
"version": "v1"
}
] | 2013-03-05 | [
[
"Balachandran",
"A. P.",
""
],
[
"Govindarajan",
"T. R.",
""
],
[
"de Queiroz",
"Amilcar R.",
""
],
[
"Reyes-Lega",
"A. F.",
""
]
] | It has been known for some years that entanglement entropy obtained from partial trace does not provide the correct entanglement measure when applied to systems of identical particles. Several criteria have been proposed that have the drawback of being different according to whether one is dealing with fermions, bosons or distinguishable particles. In this Letter, we give a precise and mathematically natural answer to this problem. Our approach is based on the use of the more general idea of restriction of states to subalgebras. It leads to a novel approach to entanglement, suitable to be used in general quantum systems and specially in systems of identical particles. This settles some recent controversy regarding entanglement for identical particles. The prospects for applications of our criteria are wide-ranging, from spin chains in condensed matter to entropy of black holes. |
1206.5831 | William Donnelly | William Donnelly, Aron C. Wall | Do gauge fields really contribute negatively to black hole entropy? | 27 pages | Phys. Rev. D 86, 064042 (2012) | 10.1103/PhysRevD.86.064042 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum fluctuations of matter fields contribute to the thermal entropy of
black holes. For free minimally-coupled scalar and spinor fields, this
contribution is precisely the entanglement entropy. For gauge fields, Kabat
found an extra negative divergent "contact term" with no known statistical
interpretation. We compare this contact term to a similar term that arises for
nonminimally-coupled scalar fields. Although both divergences may be
interpreted as terms in the Wald entropy, we point out that the contact term
for gauge fields comes from a gauge-dependent ambiguity in Wald's formula.
Revisiting Kabat's derivation of the contact term, we show that it is sensitive
to the treatment of infrared modes. To explore these infrared issues, we
consider two-dimensional compact manifolds, such as Euclidean de Sitter space,
and show that the contact term arises from an incorrect treatment of zero
modes. In a manifestly gauge-invariant reduced phase space quantization, the
gauge field contribution to the entropy is positive, finite, and equal to the
entanglement entropy.
| [
{
"created": "Mon, 25 Jun 2012 20:40:13 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Donnelly",
"William",
""
],
[
"Wall",
"Aron C.",
""
]
] | Quantum fluctuations of matter fields contribute to the thermal entropy of black holes. For free minimally-coupled scalar and spinor fields, this contribution is precisely the entanglement entropy. For gauge fields, Kabat found an extra negative divergent "contact term" with no known statistical interpretation. We compare this contact term to a similar term that arises for nonminimally-coupled scalar fields. Although both divergences may be interpreted as terms in the Wald entropy, we point out that the contact term for gauge fields comes from a gauge-dependent ambiguity in Wald's formula. Revisiting Kabat's derivation of the contact term, we show that it is sensitive to the treatment of infrared modes. To explore these infrared issues, we consider two-dimensional compact manifolds, such as Euclidean de Sitter space, and show that the contact term arises from an incorrect treatment of zero modes. In a manifestly gauge-invariant reduced phase space quantization, the gauge field contribution to the entropy is positive, finite, and equal to the entanglement entropy. |
1611.07116 | Dmitri Bykov | Dmitri Bykov | Complex structure-induced deformations of sigma-models | 25 pages | null | 10.1007/JHEP03(2017)130 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a deformation of the principal chiral model (with an
even-dimensional target space G) by a B-field proportional to the K\"ahler form
on the target space. The equations of motion of the deformed model admit a
zero-curvature representation. As a simplest example, we consider the case of
G=S^1 x S^3. We also apply a variant of the construction to a deformation of
the AdS_3 x S^3 x S^1 (super-)sigma-model.
| [
{
"created": "Tue, 22 Nov 2016 01:10:53 GMT",
"version": "v1"
}
] | 2017-04-26 | [
[
"Bykov",
"Dmitri",
""
]
] | We describe a deformation of the principal chiral model (with an even-dimensional target space G) by a B-field proportional to the K\"ahler form on the target space. The equations of motion of the deformed model admit a zero-curvature representation. As a simplest example, we consider the case of G=S^1 x S^3. We also apply a variant of the construction to a deformation of the AdS_3 x S^3 x S^1 (super-)sigma-model. |
hep-th/0610025 | Changhyun Ahn | Changhyun Ahn | M-theory Lift of Meta-Stable Brane Configuration in Symplectic and
Orthogonal Gauge Groups | 13pp;two colored figures and corresponding paragraphs, eq. (2.8) and
a new paragrpah in page 9 added or improved and to appear in PLB | Phys.Lett.B647:493-499,2007 | 10.1016/j.physletb.2007.01.070 | null | hep-th | null | The M-theory lift for the supersymmetry breaking IIA brane configuration
corresponding to the meta-stable state of N=1 unitary supersymmetric Yang-Mills
theory with massive flavors was found by Bena et al(hep-th/0608157) recently.
We extend this to symplectic and orthogonal gauge groups by analyzing the
previously known results on M-theory lifts of supersymmetric IIA brane
configurations.
| [
{
"created": "Mon, 2 Oct 2006 11:11:06 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jan 2007 01:47:34 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ahn",
"Changhyun",
""
]
] | The M-theory lift for the supersymmetry breaking IIA brane configuration corresponding to the meta-stable state of N=1 unitary supersymmetric Yang-Mills theory with massive flavors was found by Bena et al(hep-th/0608157) recently. We extend this to symplectic and orthogonal gauge groups by analyzing the previously known results on M-theory lifts of supersymmetric IIA brane configurations. |
2302.02685 | Vardazar Kotanjyan | A.A. Saharian, V.F. Manukyan, V.Kh. Kotanjyan, A.A. Grigoryan | Electromagnetic vacuum stresses and energy fluxes induced by a cosmic
string in de Sitter spacetime | 23 pages, 4 figures, Discussion added | Int. J. Mod. Phys. D 32 (2023) 2350042 | 10.1142/S0218271823500426 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | For the electromagnetic field in (D+1)-dimensional locally de Sitter (dS)
spacetime, we analyze the effects of a generalized cosmic string type defect on
the vacuum expectation value of the energy-momentum tensor. For the
Bunch-Davies vacuum state, the topological contributions are explicitly
extracted in both the diagonal and off-diagonal components. The latter
describes the presence of radially directed energy flux in the vacuum state. It
vanishes for $D=3$ because of the conformal invariance of the electromagnetic
field and is directed towards the cosmic string for $D\geq 4$ . The topological
contributions in the vacuum stresses are anisotropic and, unlike to the
geometry of a cosmic string in the Minkowski spacetime, for $D>3$ the stresses
along the directions parallel to the string core differ from the energy
density. Depending on the planar angle deficit and the distance from the cosmic
string, the corresponding expectation values can be either positive or
negative. Near the cosmic string the effect of the gravitational field on the
diagonal components of the topological part is weak. The spacetime curvature
essentially modifies the behavior of the topological terms at proper distances
from the cosmic string larger than the dS curvature radius. In that region, the
topological contributions in the diagonal components of the energy-momentum
tensor decay in inverse proportion to the fourth power of the proper distance
and the energy flux density behaves as inverse-fifth power for all values of
the spatial dimension $D$. The exception is the energy density in the special
case $D=4$.
| [
{
"created": "Mon, 6 Feb 2023 10:39:58 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jun 2023 09:24:00 GMT",
"version": "v2"
}
] | 2023-06-21 | [
[
"Saharian",
"A. A.",
""
],
[
"Manukyan",
"V. F.",
""
],
[
"Kotanjyan",
"V. Kh.",
""
],
[
"Grigoryan",
"A. A.",
""
]
] | For the electromagnetic field in (D+1)-dimensional locally de Sitter (dS) spacetime, we analyze the effects of a generalized cosmic string type defect on the vacuum expectation value of the energy-momentum tensor. For the Bunch-Davies vacuum state, the topological contributions are explicitly extracted in both the diagonal and off-diagonal components. The latter describes the presence of radially directed energy flux in the vacuum state. It vanishes for $D=3$ because of the conformal invariance of the electromagnetic field and is directed towards the cosmic string for $D\geq 4$ . The topological contributions in the vacuum stresses are anisotropic and, unlike to the geometry of a cosmic string in the Minkowski spacetime, for $D>3$ the stresses along the directions parallel to the string core differ from the energy density. Depending on the planar angle deficit and the distance from the cosmic string, the corresponding expectation values can be either positive or negative. Near the cosmic string the effect of the gravitational field on the diagonal components of the topological part is weak. The spacetime curvature essentially modifies the behavior of the topological terms at proper distances from the cosmic string larger than the dS curvature radius. In that region, the topological contributions in the diagonal components of the energy-momentum tensor decay in inverse proportion to the fourth power of the proper distance and the energy flux density behaves as inverse-fifth power for all values of the spatial dimension $D$. The exception is the energy density in the special case $D=4$. |
1706.00718 | Shao-Feng Wu | Shao-Feng Wu, Bin Wang, Xian-Hui Ge, Yu Tian | Holographic RG flow of thermo-electric transports with momentum
dissipation | 27 pages, 6 figures, typo corrected, a ref added | Phys. Rev. D 97, 066029 (2018) | 10.1103/PhysRevD.97.066029 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the holographic renormalization group (RG) flow of
thermo-electric conductivities when the translational symmetry is broken. The
RG flow is probed by the intrinsic observers hovering on the sliding radial
membranes. We obtain the RG flow by solving a matrix-form Riccati equation. The
RG flow provides a high-efficient numerical method to calculate the
thermo-electric conductivities of strongly coupled systems with momentum
dissipation. As an illustration, we recover the AC thermo-electric
conductivities in the Einstein-Maxwell-axion model. Moreover, in several
homogeneous and isotropic holographic models which dissipate the momentum and
have the finite density, it is found that the RG flow of a particular
combination of DC thermo-electric conductivities does not run. As a result, the
DC thermal conductivity on the boundary field theory can be derived
analytically, without using the conserved thermal current.
| [
{
"created": "Fri, 2 Jun 2017 15:17:20 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2017 01:42:04 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Feb 2018 05:06:02 GMT",
"version": "v3"
},
{
"created": "Sun, 1 Apr 2018 09:04:20 GMT",
"version": "v4"
},
{
"created": "Sun, 8 Apr 2018 01:28:59 GMT",
"version": "v5"
}
] | 2018-04-10 | [
[
"Wu",
"Shao-Feng",
""
],
[
"Wang",
"Bin",
""
],
[
"Ge",
"Xian-Hui",
""
],
[
"Tian",
"Yu",
""
]
] | We construct the holographic renormalization group (RG) flow of thermo-electric conductivities when the translational symmetry is broken. The RG flow is probed by the intrinsic observers hovering on the sliding radial membranes. We obtain the RG flow by solving a matrix-form Riccati equation. The RG flow provides a high-efficient numerical method to calculate the thermo-electric conductivities of strongly coupled systems with momentum dissipation. As an illustration, we recover the AC thermo-electric conductivities in the Einstein-Maxwell-axion model. Moreover, in several homogeneous and isotropic holographic models which dissipate the momentum and have the finite density, it is found that the RG flow of a particular combination of DC thermo-electric conductivities does not run. As a result, the DC thermal conductivity on the boundary field theory can be derived analytically, without using the conserved thermal current. |
1601.04078 | Jonathan Heckman | Jonathan J. Heckman, Tom Rudelius, Alessandro Tomasiello | 6D RG Flows and Nilpotent Hierarchies | v2: 53 pages, 12 figures, clarifications added, typos corrected | null | 10.1007/JHEP07(2016)082 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | With the eventual aim of classifying renormalization group flows between 6D
superconformal field theories (SCFTs), we study flows generated by the vevs of
"conformal matter," a generalization of conventional hypermultiplets which
naturally appear in the F-theory classification of 6D SCFTs. We consider flows
in which the parent UV theory is (on its partial tensor branch) a linear chain
of gauge groups connected by conformal matter, with one flavor group G at each
end of the chain, and in which the symmetry breaking of the conformal matter at
each end is parameterized by the orbit of a nilpotent element, i.e. T-brane
data, of one of these flavor symmetries. Such nilpotent orbits admit a partial
ordering, which is reflected in a hierarchy of IR fixed points. For each such
nilpotent orbit, we determine the corresponding tensor branch for the resulting
SCFT. An important feature of this algebraic approach is that it also allows us
to systematically compute the unbroken flavor symmetries inherited from the
parent UV theory.
| [
{
"created": "Fri, 15 Jan 2016 21:11:03 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2016 17:56:41 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Rudelius",
"Tom",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | With the eventual aim of classifying renormalization group flows between 6D superconformal field theories (SCFTs), we study flows generated by the vevs of "conformal matter," a generalization of conventional hypermultiplets which naturally appear in the F-theory classification of 6D SCFTs. We consider flows in which the parent UV theory is (on its partial tensor branch) a linear chain of gauge groups connected by conformal matter, with one flavor group G at each end of the chain, and in which the symmetry breaking of the conformal matter at each end is parameterized by the orbit of a nilpotent element, i.e. T-brane data, of one of these flavor symmetries. Such nilpotent orbits admit a partial ordering, which is reflected in a hierarchy of IR fixed points. For each such nilpotent orbit, we determine the corresponding tensor branch for the resulting SCFT. An important feature of this algebraic approach is that it also allows us to systematically compute the unbroken flavor symmetries inherited from the parent UV theory. |
1405.6402 | Nejat Yilmaz | Nejat Tevfik Yilmaz | Effective Matter Cosmologies of Massive Gravity I: Non-Physical Fluids | 24 pages, minor revisions performed, published version | null | 10.1088/1475-7516/2014/08/037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For the massive gravity, after decoupling from the metric equation we find a
broad class of solutions of the Stuckelberg sector by solving the background
metric in the presence of a diagonal physical metric. We then construct the
dynamics of the corresponding FLRW cosmologies which inherit effective matter
contribution through the decoupling solution mechanism of the scalar sector.
| [
{
"created": "Sun, 25 May 2014 16:26:38 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2014 14:31:46 GMT",
"version": "v2"
}
] | 2014-08-21 | [
[
"Yilmaz",
"Nejat Tevfik",
""
]
] | For the massive gravity, after decoupling from the metric equation we find a broad class of solutions of the Stuckelberg sector by solving the background metric in the presence of a diagonal physical metric. We then construct the dynamics of the corresponding FLRW cosmologies which inherit effective matter contribution through the decoupling solution mechanism of the scalar sector. |
1407.7484 | Ahmad Ghodsi | Ahmad Ghodsi, Hanif Golchin and M.M. Sheikh-Jabbari | More on Five Dimensional EVH Black Rings | 30 pages | null | 10.1007/JHEP09(2014)036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we continue our analysis of arXiv:1308.1478[hep-th] and study
in detail the parameter space of three families of doubly spinning black ring
solutions: balanced black ring, unbalanced ring and dipole-charged balanced
black rings. In all these three families the Extremal Vanishing Horizon (EVH)
ring appears in the vanishing limit of the dimensionful parameter of the
solution which measures the ring size. We study the near horizon limit of the
EVH black rings and for all three cases we find a (pinching orbifold) AdS$_3$
throat with the AdS$_3$ radius $\ell^2=8 G_5 M/(3\pi)$ where $M$ is the ring
mass and $G_5$ is the 5d Newton constant. We also discuss the near horizon
limit of near-EVH black rings and show that the AdS$_3$ factor is replaced with
a generic BTZ black hole. We use these results to extend the EVH/CFT
correspondence for black rings, a 2d CFT dual to near-EVH black rings.
| [
{
"created": "Mon, 28 Jul 2014 18:05:01 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Ghodsi",
"Ahmad",
""
],
[
"Golchin",
"Hanif",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | In this paper we continue our analysis of arXiv:1308.1478[hep-th] and study in detail the parameter space of three families of doubly spinning black ring solutions: balanced black ring, unbalanced ring and dipole-charged balanced black rings. In all these three families the Extremal Vanishing Horizon (EVH) ring appears in the vanishing limit of the dimensionful parameter of the solution which measures the ring size. We study the near horizon limit of the EVH black rings and for all three cases we find a (pinching orbifold) AdS$_3$ throat with the AdS$_3$ radius $\ell^2=8 G_5 M/(3\pi)$ where $M$ is the ring mass and $G_5$ is the 5d Newton constant. We also discuss the near horizon limit of near-EVH black rings and show that the AdS$_3$ factor is replaced with a generic BTZ black hole. We use these results to extend the EVH/CFT correspondence for black rings, a 2d CFT dual to near-EVH black rings. |
hep-th/0003231 | Sanefumi Moriyama | Sanefumi Moriyama (Kyoto) | Noncommutative Monopole from Nonlinear Monopole | 12 pages, 3 figures, LaTeX, v2: introduction modified and reference
added | Phys.Lett. B485 (2000) 278-284 | 10.1016/S0370-2693(00)00692-4 | KUNS-1654 | hep-th | null | We solve the non-linear monopole equation of the Born-Infeld theory to all
orders in the NS 2-form and give physical implications of the result. The
solution is constructed by extending the earlier idea of rotating the brane
configuration of the Dirac monopole in the target space. After establishing the
non-linear monopole, we explore the non-commutative monopole by the
Seiberg-Witten map.
| [
{
"created": "Mon, 27 Mar 2000 03:42:46 GMT",
"version": "v1"
},
{
"created": "Sat, 13 May 2000 11:18:22 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Moriyama",
"Sanefumi",
"",
"Kyoto"
]
] | We solve the non-linear monopole equation of the Born-Infeld theory to all orders in the NS 2-form and give physical implications of the result. The solution is constructed by extending the earlier idea of rotating the brane configuration of the Dirac monopole in the target space. After establishing the non-linear monopole, we explore the non-commutative monopole by the Seiberg-Witten map. |
1208.3263 | Fumihiko Sugino | Tsunehide Kuroki, Fumihiko Sugino | New critical behavior in a supersymmetric double-well matrix model | 45 pages, no figure; (v2) some explanation added; (v3) 40 pages,
appendix D moved to section 6.2, two references added, typos fixed, version
to be published in Nuclear Physics B | null | 10.1016/j.nuclphysb.2012.09.020 | OIQP-12-08; RUP-12-8 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute various correlation functions at the planar level in a simple
supersymmetric matrix model, whose scalar potential is in shape of a
double-well. The model has infinitely degenerate vacua parametrized by filling
fractions \nu_\pm representing the numbers of matrix eigenvalues around the two
minima of the double-well. The computation is done for general filling
fractions corresponding to general two-cut solutions for the eigenvalue
distribution. The model is mapped to the O(n) model on a random surface with
n=-2, and some sector of the model is described by two-dimensional quantum
gravity with c=-2 matter or (2,1) minimal string theory. For the other sector
in which such description is not possible, we find new critical behavior of
powers of logarithm for correlation functions. We regard the matrix model as a
supersymmetric analog of the Penner model, and discuss correspondence of the
matrix model to two-dimensional type IIA superstring theory from the viewpoint
of symmetry and spectrum. In particular, single-trace operators in the matrix
model are naturally interpreted as vertex operators in the type IIA theory.
Also, the result of the correlation functions implies that the corresponding
type IIA theory has a nontrivial Ramond-Ramond background.
| [
{
"created": "Thu, 16 Aug 2012 01:50:24 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Sep 2012 06:25:30 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Oct 2012 08:48:52 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Kuroki",
"Tsunehide",
""
],
[
"Sugino",
"Fumihiko",
""
]
] | We compute various correlation functions at the planar level in a simple supersymmetric matrix model, whose scalar potential is in shape of a double-well. The model has infinitely degenerate vacua parametrized by filling fractions \nu_\pm representing the numbers of matrix eigenvalues around the two minima of the double-well. The computation is done for general filling fractions corresponding to general two-cut solutions for the eigenvalue distribution. The model is mapped to the O(n) model on a random surface with n=-2, and some sector of the model is described by two-dimensional quantum gravity with c=-2 matter or (2,1) minimal string theory. For the other sector in which such description is not possible, we find new critical behavior of powers of logarithm for correlation functions. We regard the matrix model as a supersymmetric analog of the Penner model, and discuss correspondence of the matrix model to two-dimensional type IIA superstring theory from the viewpoint of symmetry and spectrum. In particular, single-trace operators in the matrix model are naturally interpreted as vertex operators in the type IIA theory. Also, the result of the correlation functions implies that the corresponding type IIA theory has a nontrivial Ramond-Ramond background. |
hep-th/9908003 | Michael Bordag | M. Bordag, V. Skalozub | On Symmetry Restoration at Finite Temperature (Scalar Case) | 25 pages, 11 figures, references added, corrected for some misprints | null | null | null | hep-th | null | We investigate the effective potential for a scalar $\Phi^{4}$ theory with
spontaneous symmetry breaking at finite temperature. All 'daisy' and 'super
daisy' diagrams are summed up and the properties of the corresponding gap
eqation are investigated. It is shown exactly that the phase transition is
first order.
| [
{
"created": "Sat, 31 Jul 1999 07:42:17 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 1999 12:52:16 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Bordag",
"M.",
""
],
[
"Skalozub",
"V.",
""
]
] | We investigate the effective potential for a scalar $\Phi^{4}$ theory with spontaneous symmetry breaking at finite temperature. All 'daisy' and 'super daisy' diagrams are summed up and the properties of the corresponding gap eqation are investigated. It is shown exactly that the phase transition is first order. |
0903.5051 | Alessandro Nigro | Alessandro Nigro | Integrals of Motion for Critical Dense Polymers and Symplectic Fermions | 53 pages, version accepted for publishing on JSTAT | J. Stat. Mech. (2009) P10007 | 10.1088/1742-5468/2009/10/P10007 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider critical dense polymers ${\cal L}(1,2)$. We obtain for this model
the eigenvalues of the local integrals of motion of the underlying Conformal
Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed
description of the relation between this model and Symplectic Fermions
including the indecomposable structure of the transfer matrix. Integrals of
motion are defined directly on the lattice in terms of the Temperley Lieb
Algebra and their eigenvalues are obtained and expressed as an infinite sum of
the eigenvalues of the continuum integrals of motion. An elegant decomposition
of the transfer matrix in terms of a finite number of lattice integrals of
motion is obtained thus providing a reason for their introduction.
| [
{
"created": "Sun, 29 Mar 2009 21:48:18 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2009 12:01:57 GMT",
"version": "v2"
},
{
"created": "Wed, 20 May 2009 15:19:34 GMT",
"version": "v3"
},
{
"created": "Mon, 7 Sep 2009 13:49:07 GMT",
"version": "v4"
}
] | 2015-05-13 | [
[
"Nigro",
"Alessandro",
""
]
] | We consider critical dense polymers ${\cal L}(1,2)$. We obtain for this model the eigenvalues of the local integrals of motion of the underlying Conformal Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed description of the relation between this model and Symplectic Fermions including the indecomposable structure of the transfer matrix. Integrals of motion are defined directly on the lattice in terms of the Temperley Lieb Algebra and their eigenvalues are obtained and expressed as an infinite sum of the eigenvalues of the continuum integrals of motion. An elegant decomposition of the transfer matrix in terms of a finite number of lattice integrals of motion is obtained thus providing a reason for their introduction. |
1509.01646 | Douglas A. Singleton | Max Bright, Douglas Singleton, and Atsushi Yoshida | Aharonov-Bohm phase for an electromagnetic wave background | 18 pages revtex, 3 figures. To be published EPJC | Eur.Phys.J. C75 (2015) 9, 446 | 10.1140/epjc/s10052-015-3670-8 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The canonical Aharonov-Bohm effect is usually studied with time-independent
potentials. In this work, we investigate the Aharonov-Bohm phase acquired by a
charged particle moving in {\it time-dependent} potentials . In particular, we
focus on the case of a charged particle moving in the time varying field of a
plane electromagnetic wave. We work out the Aharonov-Bohm phase using both the
potential ({\it i.e.} $\oint A_\mu dx ^\mu$) and field ({\it i.e.}
$\frac{1}{2}\int F_{\mu \nu} d \sigma ^{\mu \nu}$) forms of the Aharanov-Bohm
phase. We give conditions in terms of the parameters of the system (frequency
of the electromagnetic wave, the size of the space-time loop, amplitude of the
electromagnetic wave) under which the time varying Aharonov-Bohm effect could
be observed.
| [
{
"created": "Sat, 5 Sep 2015 00:28:21 GMT",
"version": "v1"
}
] | 2015-09-29 | [
[
"Bright",
"Max",
""
],
[
"Singleton",
"Douglas",
""
],
[
"Yoshida",
"Atsushi",
""
]
] | The canonical Aharonov-Bohm effect is usually studied with time-independent potentials. In this work, we investigate the Aharonov-Bohm phase acquired by a charged particle moving in {\it time-dependent} potentials . In particular, we focus on the case of a charged particle moving in the time varying field of a plane electromagnetic wave. We work out the Aharonov-Bohm phase using both the potential ({\it i.e.} $\oint A_\mu dx ^\mu$) and field ({\it i.e.} $\frac{1}{2}\int F_{\mu \nu} d \sigma ^{\mu \nu}$) forms of the Aharanov-Bohm phase. We give conditions in terms of the parameters of the system (frequency of the electromagnetic wave, the size of the space-time loop, amplitude of the electromagnetic wave) under which the time varying Aharonov-Bohm effect could be observed. |
hep-th/9405165 | Chakrabarti Amitabha | Amitabha Chakrabarti | $SO(5)_{q}$ and Contraction | 8 pages Tex, written version of a talk presented at XXX Karpacz
Winter school | null | null | null | hep-th | null | Representations of $SO(5)_{q}$ are constructed explicitly on the Chevalley
basis for all $q$, generic and root of unity. Matrix elements of the generators
are obtained for all representations depending on three variable indices, the
maximal number being 4. A prescription for contraction is given such that a
complete Hopf algebra is immediately obtained for the non-semisimple contracted
case. For $q$ a root of unity the periodic representations for $SO(5)_{q}$ and
the contracted algebra are obtained directly in the "fractional part" formalism
which unifies the treatments for the generic and root of unity cases. The
$q$-deformed quadratic Casimir operator is explicitly evaluated for the
representations presented.
| [
{
"created": "Thu, 26 May 1994 08:43:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chakrabarti",
"Amitabha",
""
]
] | Representations of $SO(5)_{q}$ are constructed explicitly on the Chevalley basis for all $q$, generic and root of unity. Matrix elements of the generators are obtained for all representations depending on three variable indices, the maximal number being 4. A prescription for contraction is given such that a complete Hopf algebra is immediately obtained for the non-semisimple contracted case. For $q$ a root of unity the periodic representations for $SO(5)_{q}$ and the contracted algebra are obtained directly in the "fractional part" formalism which unifies the treatments for the generic and root of unity cases. The $q$-deformed quadratic Casimir operator is explicitly evaluated for the representations presented. |
hep-th/0511220 | Seiberg | Nathan Seiberg | Long Strings, Anomaly Cancellation, Phase Transitions, T-duality and
Locality in the 2d Heterotic String | 36 pages, 2 figures | JHEP 0601:057,2006 | 10.1088/1126-6708/2006/01/057 | null | hep-th | null | We study the noncritical two-dimensional heterotic string. Long fundamental
strings play a crucial role in the dynamics. They cancel anomalies and lead to
phase transitions when the system is compactified on a Euclidean circle. A
careful analysis of the gauge symmetries of the system uncovers new subtleties
leading to modifications of the worldsheet results. The compactification on a
Euclidean thermal circle is particularly interesting. It leads us to an
incompatibility between T-duality (and its corresponding gauge symmetry) and
locality.
| [
{
"created": "Tue, 22 Nov 2005 15:52:25 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Seiberg",
"Nathan",
""
]
] | We study the noncritical two-dimensional heterotic string. Long fundamental strings play a crucial role in the dynamics. They cancel anomalies and lead to phase transitions when the system is compactified on a Euclidean circle. A careful analysis of the gauge symmetries of the system uncovers new subtleties leading to modifications of the worldsheet results. The compactification on a Euclidean thermal circle is particularly interesting. It leads us to an incompatibility between T-duality (and its corresponding gauge symmetry) and locality. |
hep-th/9710208 | Andre Lukas | Andre Lukas, Burt A. Ovrut and Daniel Waldram | On the Four-Dimensional Effective Action of Strongly Coupled Heterotic
String Theory | 40 pages, Latex, changes in references, error in factors corrected,
typos removed | Nucl.Phys. B532 (1998) 43-82 | 10.1016/S0550-3213(98)00463-5 | UPR-771T, PUPT-1723, HUB-EP-97/51 | hep-th | null | The low-energy D=4, N=1 effective action of the strongly coupled heterotic
string is explicitly computed by compactifying Horava-Witten theory on the
deformed Calabi-Yau three-fold solution due to Witten. It is shown that, to
order kappa^{2/3}, the Kahler potential is identical to that of the weakly
coupled theory. Furthermore, the gauge kinetic functions are directly computed
to order kappa^{4/3} and shown to receive a non-vanishing correction. Also, we
compute gauge matter terms in the Kahler potential to the order kappa^{4/3} and
find a nontrivial correction to the dilaton term. Part of those corrections
arise from background fields that depend on the orbifold coordinate and are
excited by four-dimensional gauge field source terms.
| [
{
"created": "Tue, 28 Oct 1997 03:34:33 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Dec 1997 01:12:21 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Waldram",
"Daniel",
""
]
] | The low-energy D=4, N=1 effective action of the strongly coupled heterotic string is explicitly computed by compactifying Horava-Witten theory on the deformed Calabi-Yau three-fold solution due to Witten. It is shown that, to order kappa^{2/3}, the Kahler potential is identical to that of the weakly coupled theory. Furthermore, the gauge kinetic functions are directly computed to order kappa^{4/3} and shown to receive a non-vanishing correction. Also, we compute gauge matter terms in the Kahler potential to the order kappa^{4/3} and find a nontrivial correction to the dilaton term. Part of those corrections arise from background fields that depend on the orbifold coordinate and are excited by four-dimensional gauge field source terms. |
1303.2082 | Azat Gainutdinov | A.M. Gainutdinov, J.L. Jacobsen, N. Read, H. Saleur, R. Vasseur | Logarithmic Conformal Field Theory: a Lattice Approach | 44pp, 6 figures, many comments added | J. Phys. A: Math. Theor. 46 (2013) 494012 | 10.1088/1751-8113/46/49/494012 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Logarithmic Conformal Field Theories (LCFT) play a key role, for instance, in
the description of critical geometrical problems (percolation, self avoiding
walks, etc.), or of critical points in several classes of disordered systems
(transition between plateaus in the integer and spin quantum Hall effects).
Much progress in their understanding has been obtained by studying algebraic
features of their lattice regularizations. For reasons which are not entirely
understood, the non semi-simple associative algebras underlying these lattice
models - such as the Temperley-Lieb algebra or the blob algebra - indeed
exhibit, in finite size, properties that are in full correspondence with those
of their continuum limits. This applies to the structure of indecomposable
modules, but also to fusion rules, and provides an `experimental' way of
measuring couplings, such as the `number b' quantifying the logarithmic
coupling of the stress energy tensor with its partner. Most results obtained so
far have concerned boundary LCFTs, and the associated indecomposability in the
chiral sector. While the bulk case is considerably more involved (mixing in
general left and right moving sectors), progress has also been made in this
direction recently, uncovering fascinating structures. This article provides a
short general review of our work in this area.
| [
{
"created": "Fri, 8 Mar 2013 18:47:02 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 2013 19:25:21 GMT",
"version": "v2"
}
] | 2013-11-22 | [
[
"Gainutdinov",
"A. M.",
""
],
[
"Jacobsen",
"J. L.",
""
],
[
"Read",
"N.",
""
],
[
"Saleur",
"H.",
""
],
[
"Vasseur",
"R.",
""
]
] | Logarithmic Conformal Field Theories (LCFT) play a key role, for instance, in the description of critical geometrical problems (percolation, self avoiding walks, etc.), or of critical points in several classes of disordered systems (transition between plateaus in the integer and spin quantum Hall effects). Much progress in their understanding has been obtained by studying algebraic features of their lattice regularizations. For reasons which are not entirely understood, the non semi-simple associative algebras underlying these lattice models - such as the Temperley-Lieb algebra or the blob algebra - indeed exhibit, in finite size, properties that are in full correspondence with those of their continuum limits. This applies to the structure of indecomposable modules, but also to fusion rules, and provides an `experimental' way of measuring couplings, such as the `number b' quantifying the logarithmic coupling of the stress energy tensor with its partner. Most results obtained so far have concerned boundary LCFTs, and the associated indecomposability in the chiral sector. While the bulk case is considerably more involved (mixing in general left and right moving sectors), progress has also been made in this direction recently, uncovering fascinating structures. This article provides a short general review of our work in this area. |
hep-th/9304152 | null | H. Aratyn, L.A. Ferreira, J.F. Gomes, A.H. Zimerman | On ${\bf W_{\infty}}$ Algebras, Gauge Equivalence of KP Hierarchies,
Two-Boson Realizations and their KdV Reductions | minor typos corrected, 37 pgs, LaTeX, IFT-P/021/93 | Phys.Rev. D47 (1993) 4723-4727 | null | null | hep-th | null | The gauge equivalence between basic KP hierarchies is discussed. The first
two Hamiltonian structures for KP hierarchies leading to the linear and
non-linear $\Winf$ algebras are derived. The realization of the corresponding
generators in terms of two boson currents is presented and it is shown to be
related to many integrable models which are bi-Hamiltonian. We can also realize
those generators by adding extra currents, coupled in a particular way,
allowing for instance a description of multi-layered Benney equations or
multi-component non-linear Schroedinger equation. In this case we can have a
second Hamiltonian bracket structure which violates Jacobi identity. We
consider the reduction to one-boson systems leading to KdV and mKdV
hierarchies. A Miura transformation relating these two hierarchies is obtained
by restricting gauge transformation between corresponding two-boson
hierarchies. Connection to Drinfeld-Sokolov approach is also discussed in the
$SL(2,\IR)$ gauge theory. (Lectures presented at the VII J.A. Swieca Summer
School, Section: Particles and Fields, Campos do Jord\~ao - Brasil -
January/93)
| [
{
"created": "Thu, 29 Apr 1993 16:23:00 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jun 1993 16:20:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Aratyn",
"H.",
""
],
[
"Ferreira",
"L. A.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | The gauge equivalence between basic KP hierarchies is discussed. The first two Hamiltonian structures for KP hierarchies leading to the linear and non-linear $\Winf$ algebras are derived. The realization of the corresponding generators in terms of two boson currents is presented and it is shown to be related to many integrable models which are bi-Hamiltonian. We can also realize those generators by adding extra currents, coupled in a particular way, allowing for instance a description of multi-layered Benney equations or multi-component non-linear Schroedinger equation. In this case we can have a second Hamiltonian bracket structure which violates Jacobi identity. We consider the reduction to one-boson systems leading to KdV and mKdV hierarchies. A Miura transformation relating these two hierarchies is obtained by restricting gauge transformation between corresponding two-boson hierarchies. Connection to Drinfeld-Sokolov approach is also discussed in the $SL(2,\IR)$ gauge theory. (Lectures presented at the VII J.A. Swieca Summer School, Section: Particles and Fields, Campos do Jord\~ao - Brasil - January/93) |
hep-th/9508022 | Asim Gangopadhyaya | Asim Gangopadhyaya (Loyola University Chicago), Avinash Khare
(Institute of Physics, Bhubaneswar, India) and Uday P. Sukhatme (University
of Illinois at Chicago) | Methods for Generating Quasi-Exactly Solvable Potentials | 12 pages, LaTex | Phys.Lett. A208 (1995) 216-268 | 10.1016/0375-9601(95)00824-3 | null | hep-th | null | We describe three different methods for generating quasi-exactly solvable
potentials, for which a finite number of eigenstates are analytically known.
The three methods are respectively based on (i) a polynomial ansatz for wave
functions; (ii) point canonical transformations; (iii) supersymmetric quantum
mechanics. The methods are rather general and give considerably richer results
than those available in the current literature.
| [
{
"created": "Fri, 4 Aug 1995 18:19:54 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Gangopadhyaya",
"Asim",
"",
"Loyola University Chicago"
],
[
"Khare",
"Avinash",
"",
"Institute of Physics, Bhubaneswar, India"
],
[
"Sukhatme",
"Uday P.",
"",
"University\n of Illinois at Chicago"
]
] | We describe three different methods for generating quasi-exactly solvable potentials, for which a finite number of eigenstates are analytically known. The three methods are respectively based on (i) a polynomial ansatz for wave functions; (ii) point canonical transformations; (iii) supersymmetric quantum mechanics. The methods are rather general and give considerably richer results than those available in the current literature. |
hep-th/9903248 | Jose Navarro Salas | J.Navarro-Salas, P.Navarro | Virasoro Orbits, AdS_3 Quantum Gravity and Entropy | LaTex file, 12 pages. New references added | JHEP 9905 (1999) 009 | 10.1088/1126-6708/1999/05/009 | null | hep-th | null | We analyse the canonical structure of AdS_3 gravity in terms of the coadjoint
orbits of the Virasoro group. There is one subset of orbits, associated to BTZ
black hole solutions, that can be described by a pair of chiral free fields
with a background charge. There is also a second subset of orbits, associated
to point-particle solutions, that are described by two pairs of chiral free
fields obeying a constraint. All these orbits admit K\"ahler quantization and
generate a Hilbert space which, despite of having $\Delta_0(\bar{\Delta}_0)=0$,
does not provide the right degeneracy to account for the Bekenstein-Hawking
entropy due to the breakdown of modular invariance. Therefore, additional
degrees of freedom, reestablishing modular invariance, are necessarily required
to properly account for the black hole entropy.
| [
{
"created": "Mon, 29 Mar 1999 14:05:46 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 1999 10:53:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Navarro-Salas",
"J.",
""
],
[
"Navarro",
"P.",
""
]
] | We analyse the canonical structure of AdS_3 gravity in terms of the coadjoint orbits of the Virasoro group. There is one subset of orbits, associated to BTZ black hole solutions, that can be described by a pair of chiral free fields with a background charge. There is also a second subset of orbits, associated to point-particle solutions, that are described by two pairs of chiral free fields obeying a constraint. All these orbits admit K\"ahler quantization and generate a Hilbert space which, despite of having $\Delta_0(\bar{\Delta}_0)=0$, does not provide the right degeneracy to account for the Bekenstein-Hawking entropy due to the breakdown of modular invariance. Therefore, additional degrees of freedom, reestablishing modular invariance, are necessarily required to properly account for the black hole entropy. |
1405.1387 | Doron Gepner R | A. Genish and D. Gepner | Level Two String Functions and Rogers Ramanujan Type Identities | 26 pages | null | 10.1016/j.nuclphysb.2014.07.009 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The level two string functions are calculated exactly for all simply laced
Lie algebras, using a ladder coset construction. These are the characters of
cosets of the type $G/U(1)^r$, where $G$ is the algebra at level two and $r$ is
its rank. This coset is a theory of generalized parafermions. A conjectured
Rogers Ramanujan type identity is described for these characters. Using the
exact string functions, we verify the Rogers Ramanujan type expressions, that
are the main focus of this work.
| [
{
"created": "Tue, 6 May 2014 18:13:35 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Genish",
"A.",
""
],
[
"Gepner",
"D.",
""
]
] | The level two string functions are calculated exactly for all simply laced Lie algebras, using a ladder coset construction. These are the characters of cosets of the type $G/U(1)^r$, where $G$ is the algebra at level two and $r$ is its rank. This coset is a theory of generalized parafermions. A conjectured Rogers Ramanujan type identity is described for these characters. Using the exact string functions, we verify the Rogers Ramanujan type expressions, that are the main focus of this work. |
1303.3799 | Anders Bengtsson | Anders K. H. Bengtsson | BRST Theory for Continuous Spin | 19 pages, consistent with published version | doi:10.1007/JHEP10(2013)108 | 10.1007/JHEP10(2013)108 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some puzzling aspects of higher spin field theory in Minkowski space-time,
such as the tracelessness constraints and the search for an underlying physical
principle, are discussed. A connecting idea might be provided by the recently
much researched continuous spin representations of the Poincar\'e group. The
Wigner equations, treated as first class constraints, yields to a
four-constraint BRST formulation. The resulting field theory, generalizing free
higher spin field theory, is one among a set of higher spin theories that can
be related to previous work on unconstrained formulations. In particular, it is
conjectured that the unconstrained higher spin theory of Francia and Sagnotti
is a limit of a continuous spin theory. Furthermore, a simple analysis of the
constraint structure reveals a hint of a physical rationale behind the trace
constraints.
| [
{
"created": "Mon, 11 Mar 2013 07:58:57 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 2014 14:50:14 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Bengtsson",
"Anders K. H.",
""
]
] | Some puzzling aspects of higher spin field theory in Minkowski space-time, such as the tracelessness constraints and the search for an underlying physical principle, are discussed. A connecting idea might be provided by the recently much researched continuous spin representations of the Poincar\'e group. The Wigner equations, treated as first class constraints, yields to a four-constraint BRST formulation. The resulting field theory, generalizing free higher spin field theory, is one among a set of higher spin theories that can be related to previous work on unconstrained formulations. In particular, it is conjectured that the unconstrained higher spin theory of Francia and Sagnotti is a limit of a continuous spin theory. Furthermore, a simple analysis of the constraint structure reveals a hint of a physical rationale behind the trace constraints. |
hep-th/0306049 | Emilio Elizalde | E. Elizalde, A. C. Tort | A note on the Casimir energy of a massive scalar field in positive
curvature space | 6 pages, no figures | Mod.Phys.Lett. A19 (2004) 111-116 | 10.1142/S0217732304012836 | null | hep-th | null | We re-evaluate the zero point Casimir energy for the case of a massive scalar
field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for
deviations from the standard conformal value $\xi =1/6$, by means of zero
temperature zeta function techniques. We show that for the problem at hand this
approach is equivalent to the high temperature regularization of the vacuum
energy, as conjectured in a previous publication. Two different, albeit equally
valid, ways of doing the analytic continuation are described.
| [
{
"created": "Thu, 5 Jun 2003 14:55:32 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Elizalde",
"E.",
""
],
[
"Tort",
"A. C.",
""
]
] | We re-evaluate the zero point Casimir energy for the case of a massive scalar field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for deviations from the standard conformal value $\xi =1/6$, by means of zero temperature zeta function techniques. We show that for the problem at hand this approach is equivalent to the high temperature regularization of the vacuum energy, as conjectured in a previous publication. Two different, albeit equally valid, ways of doing the analytic continuation are described. |
2304.14091 | Netanel Barel Mr. | Ofer Aharony and Netanel Barel | Correlation Functions in $\textrm{T}\bar{\textrm{T}}$-deformed Conformal
Field Theories | 33 pages + appendices, one figure. v2: Added a discussion of the
relation between our results and a recent string theory computation by Cui et
al. v3: a few clarifications added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the correlation functions of local operators in unitary
$\textrm{T}\bar{\textrm{T}}$-deformed field theories, using their formulation
in terms of Jackiw-Teitelboim gravity. The position of the operators is defined
using the dynamical coordinates of this formalism. We focus on the two-point
correlation function in momentum space, when the undeformed theory is a
conformal field theory. In particular, we compute the large momentum behavior
of the correlation functions, which manifests the non-locality of the
$\textrm{T}\bar{\textrm{T}}$-deformed theory. The correlation function has
UV-divergences, which are regulated by a point-splitting regulator.
Renormalizing the operators requires multiplicative factors depending on the
momentum, unlike the behavior in local QFTs. The large momentum limit of the
correlator, which is the main result of this paper, is proportional to
$|q|^{-\frac{q^2}{\pi|\Lambda|}}$, where $q$ is the momentum and $1/|\Lambda|$
is the deformation parameter. Interestingly, the exponent here has a different
sign from earlier results obtained by resummation of small $q$ computations.
The decay at large momentum implies that the operators behave non-locally at
the scale set by the deformation parameter.
| [
{
"created": "Thu, 27 Apr 2023 11:06:37 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 2023 13:10:55 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Jul 2023 07:12:12 GMT",
"version": "v3"
}
] | 2023-07-04 | [
[
"Aharony",
"Ofer",
""
],
[
"Barel",
"Netanel",
""
]
] | We study the correlation functions of local operators in unitary $\textrm{T}\bar{\textrm{T}}$-deformed field theories, using their formulation in terms of Jackiw-Teitelboim gravity. The position of the operators is defined using the dynamical coordinates of this formalism. We focus on the two-point correlation function in momentum space, when the undeformed theory is a conformal field theory. In particular, we compute the large momentum behavior of the correlation functions, which manifests the non-locality of the $\textrm{T}\bar{\textrm{T}}$-deformed theory. The correlation function has UV-divergences, which are regulated by a point-splitting regulator. Renormalizing the operators requires multiplicative factors depending on the momentum, unlike the behavior in local QFTs. The large momentum limit of the correlator, which is the main result of this paper, is proportional to $|q|^{-\frac{q^2}{\pi|\Lambda|}}$, where $q$ is the momentum and $1/|\Lambda|$ is the deformation parameter. Interestingly, the exponent here has a different sign from earlier results obtained by resummation of small $q$ computations. The decay at large momentum implies that the operators behave non-locally at the scale set by the deformation parameter. |
0812.3213 | Gonzalo Torroba MsC | Rouven Essig, Jean-Francois Fortin, Kuver Sinha, Gonzalo Torroba,
Matthew J. Strassler | Metastable supersymmetry breaking and multitrace deformations of SQCD | 33 pages, 3 figures. Added references and a comment | JHEP 0903:043,2009 | 10.1088/1126-6708/2009/03/043 | RUNHETC-2008-20, SLAC-PUB-13467, NSF-KITP-08-143, MIFP-08-28 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Metastable vacua in supersymmetric QCD in the presence of single and
multitrace deformations of the superpotential are explored, with the aim of
obtaining an acceptable phenomenology. The metastable vacua appear at one loop,
have a broken R-symmetry, and a magnetic gauge group that is completely
Higgsed. With only a single trace deformation, the adjoint fermions from the
meson superfield are approximately massless at one loop, even though they are
massive at tree level and R-symmetry is broken. Consequently, if charged under
the standard model, they are unacceptably light. A multitrace quadratic
deformation generates fermion masses proportional to the deformation parameter.
Phenomenologically viable models of direct gauge mediation can then be
obtained, and some of their features are discussed.
| [
{
"created": "Wed, 17 Dec 2008 06:54:07 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Feb 2009 06:51:04 GMT",
"version": "v2"
}
] | 2009-03-12 | [
[
"Essig",
"Rouven",
""
],
[
"Fortin",
"Jean-Francois",
""
],
[
"Sinha",
"Kuver",
""
],
[
"Torroba",
"Gonzalo",
""
],
[
"Strassler",
"Matthew J.",
""
]
] | Metastable vacua in supersymmetric QCD in the presence of single and multitrace deformations of the superpotential are explored, with the aim of obtaining an acceptable phenomenology. The metastable vacua appear at one loop, have a broken R-symmetry, and a magnetic gauge group that is completely Higgsed. With only a single trace deformation, the adjoint fermions from the meson superfield are approximately massless at one loop, even though they are massive at tree level and R-symmetry is broken. Consequently, if charged under the standard model, they are unacceptably light. A multitrace quadratic deformation generates fermion masses proportional to the deformation parameter. Phenomenologically viable models of direct gauge mediation can then be obtained, and some of their features are discussed. |
hep-th/0003275 | Shoichi Ichinose | Shoichi Ichinose | A Solution of the Randall-Sundrum Model and the Mass Hierarchy Problem | 17 pages, 3 figures, to be published in Class.Quan.Grav., the title
has changed slightly | null | 10.1088/0264-9381/18/3/305 | US-00-01 | hep-th hep-ph | null | A solution of the Randall-Sundrum model for a simplified case (one wall) is
obtained. It is given by the $1/k^2$-expansion (thin wall expansion) where
$1/k$ is the {\it thickness} of the domain wall. The vacuum setting is done by
the 5D Higgs potential and the solution is for a {\it family} of the Higgs
parameters. The mass hierarchy problem is examined. Some physical quantities in
4D world such as the Planck mass, the cosmological constant, and fermion masses
are focussed. Similarity to the domain wall regularization used in the chiral
fermion problem is explained. We examine the possibility that the 4D massless
chiral fermion bound to the domain wall in the 5D world can be regarded as the
real 4D fermions such as neutrinos, quarks and other leptons.
| [
{
"created": "Thu, 30 Mar 2000 04:42:29 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jan 2001 10:11:33 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ichinose",
"Shoichi",
""
]
] | A solution of the Randall-Sundrum model for a simplified case (one wall) is obtained. It is given by the $1/k^2$-expansion (thin wall expansion) where $1/k$ is the {\it thickness} of the domain wall. The vacuum setting is done by the 5D Higgs potential and the solution is for a {\it family} of the Higgs parameters. The mass hierarchy problem is examined. Some physical quantities in 4D world such as the Planck mass, the cosmological constant, and fermion masses are focussed. Similarity to the domain wall regularization used in the chiral fermion problem is explained. We examine the possibility that the 4D massless chiral fermion bound to the domain wall in the 5D world can be regarded as the real 4D fermions such as neutrinos, quarks and other leptons. |
1210.0759 | Jansen Formiga | J. B. Formiga | Conservation of the Dirac Current in Models with a General Spin
Connection | 6 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Here I obtain the conditions necessary for the conservation of the Dirac
current when one substitutes the assumption $\gamma^A_{\ \ |B}=0$ for
$\gamma^A_{\ \ |B}=[V_B,\gamma^A]$, where the $\gamma^A$s are the Dirac
matrices and "$|$" represents the components of the covariant derivative. As an
application, I apply these conditions to the model used in Ref. [M. Novello,
Phys. Rev. {\bf D8}, 2398 (1973)].
| [
{
"created": "Tue, 2 Oct 2012 13:06:02 GMT",
"version": "v1"
}
] | 2012-10-03 | [
[
"Formiga",
"J. B.",
""
]
] | Here I obtain the conditions necessary for the conservation of the Dirac current when one substitutes the assumption $\gamma^A_{\ \ |B}=0$ for $\gamma^A_{\ \ |B}=[V_B,\gamma^A]$, where the $\gamma^A$s are the Dirac matrices and "$|$" represents the components of the covariant derivative. As an application, I apply these conditions to the model used in Ref. [M. Novello, Phys. Rev. {\bf D8}, 2398 (1973)]. |
hep-th/9912258 | Ysuke Kimura | Yusuke Kimura and Yoshihisa Kitazawa | IIB Matrix Model with D1-D5 Backgrounds | 17 pages, LaTex | Nucl.Phys. B581 (2000) 295-308 | 10.1016/S0550-3213(00)00171-1 | KEK-TH-668, TIT/HEP-439 | hep-th | null | We consider IIB matrix model with D1-D5-brane backgrounds. Using the fact
that noncommutative gauge theory on the D-branes can be obtained as twisted
reduced model in IIB matrix model, we study two-dimensional gauge theory on
D1-branes and D5-branes. Especially the spectrum of the zero modes in the
off-diagonal parts is examined. We also consider the description of D1-branes
as local excitations of gauge theory on D5-branes. Relation to supergravity
solution is also discussed.
| [
{
"created": "Mon, 27 Dec 1999 18:03:35 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kimura",
"Yusuke",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] | We consider IIB matrix model with D1-D5-brane backgrounds. Using the fact that noncommutative gauge theory on the D-branes can be obtained as twisted reduced model in IIB matrix model, we study two-dimensional gauge theory on D1-branes and D5-branes. Especially the spectrum of the zero modes in the off-diagonal parts is examined. We also consider the description of D1-branes as local excitations of gauge theory on D5-branes. Relation to supergravity solution is also discussed. |
hep-th/0501068 | Horatiu Stefan Nastase | Horatiu Nastase | The RHIC fireball as a dual black hole | 10 pages, latex, references added, typos corrected, comments on RHIC
experimental observations added, definition of a corrected | null | null | null | hep-th hep-ph | null | We argue that the fireball observed at RHIC is (the analog of) a dual black
hole. In previous works, we have argued that the large $s$ behaviour of the
total QCD cross section is due to production of dual black holes, and that in
the QCD effective field theory it corresponds to a nonlinear soliton of the
pion field. Now we argue that the RHIC fireball is this soliton. We calculate
the soliton (black hole) temperature, and get $T=4a <m_{\pi}>/\pi$, with $a$ a
nonperturbative constant. For $a=1$, we get $175.76 MeV$, compared to the
experimental value of the fireball ``freeze-out'' of about $176 MeV$. The
observed $\eta/ s$ for the fireball is close to the dual value of $1/4\pi$. The
``Color Glass Condensate'' (CGC) state at the core of the fireball is the pion
field soliton, dual to the interior of the black hole. The main interaction
between particles in the CGC is a Coulomb potential, due to short range pion
exchange, dual to gravitational interaction inside the black hole, deconfining
quarks and gluons. Thus RHIC is in a certain sense a string theory testing
machine, analyzing the formation and decay of dual black holes, and giving
information about the black hole interior.
| [
{
"created": "Mon, 10 Jan 2005 18:51:05 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2005 01:02:53 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Mar 2006 20:30:51 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Nastase",
"Horatiu",
""
]
] | We argue that the fireball observed at RHIC is (the analog of) a dual black hole. In previous works, we have argued that the large $s$ behaviour of the total QCD cross section is due to production of dual black holes, and that in the QCD effective field theory it corresponds to a nonlinear soliton of the pion field. Now we argue that the RHIC fireball is this soliton. We calculate the soliton (black hole) temperature, and get $T=4a <m_{\pi}>/\pi$, with $a$ a nonperturbative constant. For $a=1$, we get $175.76 MeV$, compared to the experimental value of the fireball ``freeze-out'' of about $176 MeV$. The observed $\eta/ s$ for the fireball is close to the dual value of $1/4\pi$. The ``Color Glass Condensate'' (CGC) state at the core of the fireball is the pion field soliton, dual to the interior of the black hole. The main interaction between particles in the CGC is a Coulomb potential, due to short range pion exchange, dual to gravitational interaction inside the black hole, deconfining quarks and gluons. Thus RHIC is in a certain sense a string theory testing machine, analyzing the formation and decay of dual black holes, and giving information about the black hole interior. |
1002.1075 | Claudia de Rham | Claudia de Rham, Justin Khoury, Andrew J. Tolley | Cascading Gravity is Ghost Free | 24 pages, minor changes, argument on vector perturbations improved | Phys.Rev.D81:124027,2010 | 10.1103/PhysRevD.81.124027 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a full perturbative stability analysis of the 6D cascading gravity
model in the presence of 3-brane tension. We demonstrate that for sufficiently
large tension on the (flat) 3-brane, there are no ghosts at the perturbative
level, consistent with results that had previously only been obtained in a
specific 5D decoupling limit. These results establish the cascading gravity
framework as a consistent infrared modification of gravity.
| [
{
"created": "Thu, 4 Feb 2010 21:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Feb 2010 14:31:38 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jun 2010 15:09:14 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"de Rham",
"Claudia",
""
],
[
"Khoury",
"Justin",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | We perform a full perturbative stability analysis of the 6D cascading gravity model in the presence of 3-brane tension. We demonstrate that for sufficiently large tension on the (flat) 3-brane, there are no ghosts at the perturbative level, consistent with results that had previously only been obtained in a specific 5D decoupling limit. These results establish the cascading gravity framework as a consistent infrared modification of gravity. |
0806.4620 | Boris Pioline | Sergei Alexandrov, Boris Pioline, Frank Saueressig, Stefan Vandoren | Linear perturbations of Hyperkahler metrics | 44 pages, 2 figures, uses JHEP3.cls; v4: section 5.3 shortened,
matches published version | Lett.Math.Phys.87:225-265,2009 | 10.1007/s11005-009-0305-8 | PTA/08-045, ITP-UU-08-37,SPIN-08-28, IPhT-T08/104, LPTENS-08/34 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study general linear perturbations of a class of 4d real-dimensional
hyperkahler manifolds obtainable by the (generalized) Legendre transform
method. Using twistor methods, we show that deformations can be encoded in a
set of holomorphic functions of 2d+1 variables, as opposed to the functions of
d+1 variables controlling the unperturbed metric. Such deformations generically
break all tri-holomorphic isometries of the unperturbed metric. Geometrically,
these functions generate the symplectomorphisms which relate local complex
Darboux coordinate systems in different patches of the twistor space. The
deformed Kahler potential follows from these data by a Penrose-type transform.
As an illustration of our general framework, we determine the leading
exponential deviation of the Atiyah-Hitchin manifold away from its negative
mass Taub-NUT limit. In a companion paper arXiv:0810.1675, we extend these
techniques to quaternionic-Kahler spaces with isometries.
| [
{
"created": "Fri, 27 Jun 2008 21:28:11 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2008 20:31:42 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 2008 15:16:38 GMT",
"version": "v3"
},
{
"created": "Thu, 19 Feb 2009 11:58:44 GMT",
"version": "v4"
}
] | 2009-03-12 | [
[
"Alexandrov",
"Sergei",
""
],
[
"Pioline",
"Boris",
""
],
[
"Saueressig",
"Frank",
""
],
[
"Vandoren",
"Stefan",
""
]
] | We study general linear perturbations of a class of 4d real-dimensional hyperkahler manifolds obtainable by the (generalized) Legendre transform method. Using twistor methods, we show that deformations can be encoded in a set of holomorphic functions of 2d+1 variables, as opposed to the functions of d+1 variables controlling the unperturbed metric. Such deformations generically break all tri-holomorphic isometries of the unperturbed metric. Geometrically, these functions generate the symplectomorphisms which relate local complex Darboux coordinate systems in different patches of the twistor space. The deformed Kahler potential follows from these data by a Penrose-type transform. As an illustration of our general framework, we determine the leading exponential deviation of the Atiyah-Hitchin manifold away from its negative mass Taub-NUT limit. In a companion paper arXiv:0810.1675, we extend these techniques to quaternionic-Kahler spaces with isometries. |
1508.04437 | Sungjay Lee | Amit Giveon, Jeffrey Harvey, David Kutasov, Sungjay Lee | Three-Charge Black Holes and Quarter BPS States in Little String Theory | 53 pages, 3 figures | null | 10.1007/JHEP12(2015)145 | EFI-15-26 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the system of $k$ NS5-branes wrapping $\mathbb{T}^4\times S^1$
has non-trivial vacuum structure. Different vacua have different spectra of 1/4
BPS states that carry momentum and winding around the $S^1$. In one vacuum,
such states are described by black holes; in another, they can be thought of as
perturbative BPS states in Double Scaled Little String Theory. In general, both
kinds of states are present. We compute the degeneracy of perturbative BPS
states exactly, and show that it differs from that of the corresponding black
holes. We comment on the implication of our results to the black hole
microstate program, UV/IR mixing in Little String Theory, string
thermodynamics, the string/black hole transition, and other issues.
| [
{
"created": "Tue, 18 Aug 2015 20:14:29 GMT",
"version": "v1"
}
] | 2016-01-27 | [
[
"Giveon",
"Amit",
""
],
[
"Harvey",
"Jeffrey",
""
],
[
"Kutasov",
"David",
""
],
[
"Lee",
"Sungjay",
""
]
] | We show that the system of $k$ NS5-branes wrapping $\mathbb{T}^4\times S^1$ has non-trivial vacuum structure. Different vacua have different spectra of 1/4 BPS states that carry momentum and winding around the $S^1$. In one vacuum, such states are described by black holes; in another, they can be thought of as perturbative BPS states in Double Scaled Little String Theory. In general, both kinds of states are present. We compute the degeneracy of perturbative BPS states exactly, and show that it differs from that of the corresponding black holes. We comment on the implication of our results to the black hole microstate program, UV/IR mixing in Little String Theory, string thermodynamics, the string/black hole transition, and other issues. |
hep-th/0605072 | Ahmad Sheykhi | A. Sheykhi and N. Riazi | Rotating Solution of Einstein-Maxwell Dilaton Gravity with Unusual
Asymptotics | 11 pages, Accepted (Int. J. Theor. Phys.) | Int.J.Theor.Phys.45:2453-2463,2006 | 10.1007/s10773-006-9213-1 | null | hep-th | null | We study electrically charged, dilaton black holes, which possess
infinitesimal angular momentum in the presence of one or two Liouville type
potentials. These solutions are neither asymptotically flat nor (anti)-de
Sitter. Some properties of the solutions are discussed.
| [
{
"created": "Sat, 6 May 2006 07:26:29 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Oct 2006 07:49:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Sheykhi",
"A.",
""
],
[
"Riazi",
"N.",
""
]
] | We study electrically charged, dilaton black holes, which possess infinitesimal angular momentum in the presence of one or two Liouville type potentials. These solutions are neither asymptotically flat nor (anti)-de Sitter. Some properties of the solutions are discussed. |
hep-th/9407092 | Lev Koyrakh | D. Bar-Moshe and M. S. Marinov (Technion) | Realization of compact Lie algebras in K\"ahler manifolds | null | J.Phys. A27 (1994) 6287-6298 | 10.1088/0305-4470/27/18/035 | null | hep-th math.DG | null | The Berezin quantization on a simply connected homogeneous K\"{a}hler
manifold, which is considered as a phase space for a dynamical system, enables
a description of the quantal system in a (finite-dimensional) Hilbert space of
holomorphic functions corresponding to generalized coherent states. The Lie
algebra associated with the manifold symmetry group is given in terms of
first-order differential operators. In the classical theory, the Lie algebra is
represented by the momentum maps which are functions on the manifold, and the
Lie product is the Poisson bracket given by the K\"{a}hler structure. The
K\"{a}hler potentials are constructed for the manifolds related to all compact
semi-simple Lie groups. The complex coordinates are introduced by means of the
Borel method. The K\"{a}hler structure is obtained explicitly for any unitary
group representation. The cocycle functions for the Lie algebra and the Killing
vector fields on the manifold are also obtained.
| [
{
"created": "Fri, 15 Jul 1994 19:49:41 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bar-Moshe",
"D.",
"",
"Technion"
],
[
"Marinov",
"M. S.",
"",
"Technion"
]
] | The Berezin quantization on a simply connected homogeneous K\"{a}hler manifold, which is considered as a phase space for a dynamical system, enables a description of the quantal system in a (finite-dimensional) Hilbert space of holomorphic functions corresponding to generalized coherent states. The Lie algebra associated with the manifold symmetry group is given in terms of first-order differential operators. In the classical theory, the Lie algebra is represented by the momentum maps which are functions on the manifold, and the Lie product is the Poisson bracket given by the K\"{a}hler structure. The K\"{a}hler potentials are constructed for the manifolds related to all compact semi-simple Lie groups. The complex coordinates are introduced by means of the Borel method. The K\"{a}hler structure is obtained explicitly for any unitary group representation. The cocycle functions for the Lie algebra and the Killing vector fields on the manifold are also obtained. |
hep-th/0307282 | Anton Rebhan | A. Rebhan, P. van Nieuwenhuizen, R. Wimmer | Nonvanishing quantum corrections to the mass and central charge of the
N=2 vortex and BPS saturation | 1+16 pages LATeX, 1 figure. v3: minor additions | Nucl.Phys. B679 (2004) 382-394 | 10.1016/j.nuclphysb.2003.11.030 | TUW-03-17, YITP-SB-03-37, ESI 1344 | hep-th | null | The one-loop quantum corrections to the mass and central charge of the N=2
vortex in 2+1 dimensions are determined using supersymmetry-preserving
dimensional regularization by dimensional reduction of the corresponding N=1
model with Fayet-Iliopoulos term in 3+1 dimensions. Both the mass and the
central charge turn out to have nonvanishing one-loop corrections which however
are equal and thus saturate the Bogomolnyi bound. We explain BPS saturation by
standard multiplet shortening arguments, correcting a previous claim in the
literature postulating the presence of a second degenerate short multiplet at
the quantum level.
| [
{
"created": "Tue, 29 Jul 2003 16:55:25 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2003 12:29:48 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Oct 2003 11:17:49 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Rebhan",
"A.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
],
[
"Wimmer",
"R.",
""
]
] | The one-loop quantum corrections to the mass and central charge of the N=2 vortex in 2+1 dimensions are determined using supersymmetry-preserving dimensional regularization by dimensional reduction of the corresponding N=1 model with Fayet-Iliopoulos term in 3+1 dimensions. Both the mass and the central charge turn out to have nonvanishing one-loop corrections which however are equal and thus saturate the Bogomolnyi bound. We explain BPS saturation by standard multiplet shortening arguments, correcting a previous claim in the literature postulating the presence of a second degenerate short multiplet at the quantum level. |
hep-th/9307132 | Hideaki Hiro-Oka 0426-77-1111x3375 | H. Hiro-Oka and H. Minakata | Large-N Collective Field Theory Applied to Anyons in Magnetic Fields | 10 pages(Plain TeX) TMUP-HEL-9306 | Mod. Phys. Lett. A8 (1993) 3547-3555 | 10.1142/S0217732393002282 | null | hep-th | null | We present a large-$N$ collective field formalism for anyons in external
magnetic fields interacting with arbitrary two-body potential. We discuss how
the Landau level is reproduced in our framework. We apply it to the soluble
model for anyons proposed by Girvin et al., and obtain the dispersion relation
of collective modes for arbitrary statistical parameters.
| [
{
"created": "Wed, 21 Jul 1993 08:51:19 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Hiro-Oka",
"H.",
""
],
[
"Minakata",
"H.",
""
]
] | We present a large-$N$ collective field formalism for anyons in external magnetic fields interacting with arbitrary two-body potential. We discuss how the Landau level is reproduced in our framework. We apply it to the soluble model for anyons proposed by Girvin et al., and obtain the dispersion relation of collective modes for arbitrary statistical parameters. |
hep-th/9904108 | null | Semyon Pol'shin | Massless fields over $R^1 \times H^3$ space-time and coherent states for
the Lorentz group | 6 pages, LATEX, no figures. To appear in Modern Phys. Lett.A | Mod.Phys.Lett. A14 (1999) 2119 | 10.1142/S0217732399002170 | null | hep-th | null | The solutions of the arbitrary-spin massless wave equations over ${\bf R}^1
\times H^3$ space are obtained using the generalized coherent states for the
Lorentz group. The use of these solutions for the construction of invariant
propagators of quantized massless fields with an arbitrary spin over the ${\bf
R}^1 \times H^3$ space is considered. The expression for the scalar propagator
is obtained in the explicit form.
| [
{
"created": "Thu, 15 Apr 1999 11:39:58 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 1999 18:06:46 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Pol'shin",
"Semyon",
""
]
] | The solutions of the arbitrary-spin massless wave equations over ${\bf R}^1 \times H^3$ space are obtained using the generalized coherent states for the Lorentz group. The use of these solutions for the construction of invariant propagators of quantized massless fields with an arbitrary spin over the ${\bf R}^1 \times H^3$ space is considered. The expression for the scalar propagator is obtained in the explicit form. |
hep-th/0310301 | Herbert Weigel | H. Weigel | Dirichlet Spheres in Continuum Quantum Field Theory | Eight pages, (Rinton style included), Contribution to the proceedings
of the QFEXT03 workshop, Norman,Oklahoma, September 2003 | null | null | null | hep-th quant-ph | null | We study the vacuum polarization (Casimir) energy in renormalizable,
continuum quantum field theory in the presence of a background field, designed
to impose Dirichlet boundary conditions on the fluctuating quantum field. In
two and three spatial dimensions the Casimir energy diverges as a background
field becomes concentrated on the surface on which the Dirichlet boundary
condition would eventually hold. This divergence does not affect the force
between rigid bodies, but it does invalidate calculations of Casimir stresses
based on idealized boundary conditions.
| [
{
"created": "Fri, 31 Oct 2003 18:03:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Weigel",
"H.",
""
]
] | We study the vacuum polarization (Casimir) energy in renormalizable, continuum quantum field theory in the presence of a background field, designed to impose Dirichlet boundary conditions on the fluctuating quantum field. In two and three spatial dimensions the Casimir energy diverges as a background field becomes concentrated on the surface on which the Dirichlet boundary condition would eventually hold. This divergence does not affect the force between rigid bodies, but it does invalidate calculations of Casimir stresses based on idealized boundary conditions. |
2008.01583 | Jialiang Dai | Jialiang Dai | Stability and consistent interactions in Podolsky's generalized
electrodynamics | null | null | 10.1016/j.nuclphysb.2021.115497 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We confirm the stability of Podolsky's generalized electrodynamics by
constructing a series of two-parametric bounded conserved quantities which
includes the canonical energy-momentum tensors. In addition, we evaluate the
transition-amplitude of this higher derivative system in BV antifield formalism
and obtain the desirable generalized radiation gauge condition by choosing
appropriate gauge-fixing fermion. Within the framework of Lagrangian BRST
cohomology, we present the constructions of consistent interactions in
Podolsky's model and when concentrating on the antighost number zero part of
the master action after deformation process, we get the non-Abelian extensions
of the Podolsky's theory. Furthermore, we calculate the number of physical
degrees of freedom in the resulting higher derivative system utilizing
Dirac-Bergmann algorithm method and show that it is unchanged if the consistent
interactions are included into the free theory.
| [
{
"created": "Tue, 4 Aug 2020 14:26:32 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2020 16:42:25 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Sep 2020 18:25:13 GMT",
"version": "v3"
}
] | 2021-08-18 | [
[
"Dai",
"Jialiang",
""
]
] | We confirm the stability of Podolsky's generalized electrodynamics by constructing a series of two-parametric bounded conserved quantities which includes the canonical energy-momentum tensors. In addition, we evaluate the transition-amplitude of this higher derivative system in BV antifield formalism and obtain the desirable generalized radiation gauge condition by choosing appropriate gauge-fixing fermion. Within the framework of Lagrangian BRST cohomology, we present the constructions of consistent interactions in Podolsky's model and when concentrating on the antighost number zero part of the master action after deformation process, we get the non-Abelian extensions of the Podolsky's theory. Furthermore, we calculate the number of physical degrees of freedom in the resulting higher derivative system utilizing Dirac-Bergmann algorithm method and show that it is unchanged if the consistent interactions are included into the free theory. |
0805.0636 | Gorsky Alexander | A.S.Gorsky and V.I.Zakharov | Flux-Tube Formation and Holographic Tunneling | 15 pages, 3 figures | Phys.Lett.B669:186-192,2008 | 10.1016/j.physletb.2008.09.043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider correlator of two concentric Wilson loops, a small and large ones
related to the problem of flux-tube formation. There are three mechanisms which
can contribute to the connected correlator and yield different dependences on
the radius of the small loop. The first one is quite standard and concerns
exchange by supergravity modes. We also consider a novel mechanism when the
flux-tube formation is described by a barrier transition in the string
language, dual to the field-theoretic formulation of Yang-Mills theories. The
most interesting possibility within this approach is resonant tunneling which
would enhance the correlator of the Wilson loops for particular geometries. The
third possibility involves exchange by a dyonic string supplied with the string
junction. We introduce also t'Hooft and composite dyonic loops as probes of the
flux tube. Implications for lattice measurements are briefly discussed.
| [
{
"created": "Tue, 6 May 2008 02:52:19 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gorsky",
"A. S.",
""
],
[
"Zakharov",
"V. I.",
""
]
] | We consider correlator of two concentric Wilson loops, a small and large ones related to the problem of flux-tube formation. There are three mechanisms which can contribute to the connected correlator and yield different dependences on the radius of the small loop. The first one is quite standard and concerns exchange by supergravity modes. We also consider a novel mechanism when the flux-tube formation is described by a barrier transition in the string language, dual to the field-theoretic formulation of Yang-Mills theories. The most interesting possibility within this approach is resonant tunneling which would enhance the correlator of the Wilson loops for particular geometries. The third possibility involves exchange by a dyonic string supplied with the string junction. We introduce also t'Hooft and composite dyonic loops as probes of the flux tube. Implications for lattice measurements are briefly discussed. |
hep-th/9809049 | Dmitrij Fursaev | D.V. Fursaev | Energy, Hamiltonian, Noether Charge, and Black Holes | 20 pages, latex, no figures | Phys.Rev. D59 (1999) 064020 | 10.1103/PhysRevD.59.064020 | null | hep-th | null | It is shown that in general the energy ${\cal E}$ and the Hamiltonian ${\cal
H}$ of matter fields on the black hole exterior play different roles. ${\cal
H}$ is a generator of the time evolution along the Killing time while ${\cal
E}$ enters the first law of black hole thermodynamics. For non-minimally
coupled fields the difference ${\cal H}-{\cal E}$ is not zero and is a Noether
charge $Q$ analogous to that introduced by Wald to define the black hole
entropy. If fields vanish at the spatial boundary, $Q$ is reduced to an
integral over the horizon. The analysis is carried out and an explicit
expression for $Q$ is found for general diffeomorphism invariant theories. As
an extension of the results by Wald et al, the first law of black hole
thermodynamics is derived for arbitrary weak matter fields.
| [
{
"created": "Tue, 8 Sep 1998 13:20:06 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Fursaev",
"D. V.",
""
]
] | It is shown that in general the energy ${\cal E}$ and the Hamiltonian ${\cal H}$ of matter fields on the black hole exterior play different roles. ${\cal H}$ is a generator of the time evolution along the Killing time while ${\cal E}$ enters the first law of black hole thermodynamics. For non-minimally coupled fields the difference ${\cal H}-{\cal E}$ is not zero and is a Noether charge $Q$ analogous to that introduced by Wald to define the black hole entropy. If fields vanish at the spatial boundary, $Q$ is reduced to an integral over the horizon. The analysis is carried out and an explicit expression for $Q$ is found for general diffeomorphism invariant theories. As an extension of the results by Wald et al, the first law of black hole thermodynamics is derived for arbitrary weak matter fields. |
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