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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0808.2987
|
Stephen D. H. Hsu
|
Stephen D.H. Hsu, David Reeb
|
On the sign problem in dense QCD
|
8 pages, 2 figures, revtex; major changes in v3; v4: further
clarifications, final version to appear in IJMPA
|
Int. J. Mod. Phys. A 25, pp. 53-67 (2010)
|
10.1142/S0217751X10047968
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the Euclidean path integral formulation of QCD at finite
baryon density and temperature. We show that the partition function Z can be
written as a difference between two sums Z+ and Z-, each of which defines a
partition function with positive weights. We call the sign problem severe if
the ratio Z-/Z+ is nonzero in the infinite volume limit. This occurs only if,
and generically always if, the associated free energy densities F+ and F- are
equal in this limit. We present strong evidence here that the sign problem is
severe at almost all points in the phase diagram, with the exception of special
cases like exactly zero chemical potential (ordinary QCD), which requires a
particular order of limits. Part of our reasoning is based on the analyticity
of free energy densities within their open phase regions. Finally, we describe
a Monte Carlo technique to simulate finite-density QCD in regions where Z-/Z+
is small.
|
[
{
"created": "Thu, 21 Aug 2008 20:00:09 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Aug 2008 19:26:51 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Oct 2008 18:26:33 GMT",
"version": "v3"
},
{
"created": "Sun, 29 Nov 2009 05:42:33 GMT",
"version": "v4"
}
] |
2010-02-05
|
[
[
"Hsu",
"Stephen D. H.",
""
],
[
"Reeb",
"David",
""
]
] |
We investigate the Euclidean path integral formulation of QCD at finite baryon density and temperature. We show that the partition function Z can be written as a difference between two sums Z+ and Z-, each of which defines a partition function with positive weights. We call the sign problem severe if the ratio Z-/Z+ is nonzero in the infinite volume limit. This occurs only if, and generically always if, the associated free energy densities F+ and F- are equal in this limit. We present strong evidence here that the sign problem is severe at almost all points in the phase diagram, with the exception of special cases like exactly zero chemical potential (ordinary QCD), which requires a particular order of limits. Part of our reasoning is based on the analyticity of free energy densities within their open phase regions. Finally, we describe a Monte Carlo technique to simulate finite-density QCD in regions where Z-/Z+ is small.
|
1105.0218
|
Tanay Dey Kumar
|
Tanay K. Dey
|
Exact Large R-charge Correlators in ABJM Theory
|
21 pages, 1 figure, revised version, large N expansion is corrected,
to appear JHEP
| null |
10.1007/JHEP08(2011)066
|
WITS-CTP-070
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a class of operators, given by Schur polynomials, in ABJM
theory. By computing two point functions at finite $N$ we confirm these are
diagonal for this class of operators in the free field limit. We also calculate
exact three and multi point correlators in the zero coupling limit. Finally, we
consider a particular nontrivial background produced by an operator with an
$R$-charge of $O(N^2$. We show that the nonplanar corrections (which can no
longer be neglected, even at large $N$) can be resummed to give a $1/(N+M)$
expansion for correlators computed in this background.
|
[
{
"created": "Sun, 1 May 2011 23:30:23 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Aug 2011 10:15:07 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Dey",
"Tanay K.",
""
]
] |
We construct a class of operators, given by Schur polynomials, in ABJM theory. By computing two point functions at finite $N$ we confirm these are diagonal for this class of operators in the free field limit. We also calculate exact three and multi point correlators in the zero coupling limit. Finally, we consider a particular nontrivial background produced by an operator with an $R$-charge of $O(N^2$. We show that the nonplanar corrections (which can no longer be neglected, even at large $N$) can be resummed to give a $1/(N+M)$ expansion for correlators computed in this background.
|
hep-th/0205115
|
Costas Bachas
|
C. Bachas (Ecole Normale, Paris)
|
Asymptotic symmetries of AdS2 Branes
|
11 pages, Latex file. Minor changes and some extra references
| null | null |
LPTENS 02/32, NI02009-MTH
|
hep-th
| null |
I analyze the asymptotic symmetries of a theory of gravity in a background
consisting of two patches of ${\rm AdS}_3$ spacetime glued together along an
${\rm AdS}_2$ brane. These are generated by a single Virasoro algebra, as
expected from the conjectured dual description in terms of a scale-invariant
interface separating two conformal field theories. Contributed to the
proceedings of the Francqui Colloquium 2001: `Strings and Gravity: Tying the
Forces Together .'
|
[
{
"created": "Mon, 13 May 2002 15:04:04 GMT",
"version": "v1"
},
{
"created": "Thu, 16 May 2002 17:32:25 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Bachas",
"C.",
"",
"Ecole Normale, Paris"
]
] |
I analyze the asymptotic symmetries of a theory of gravity in a background consisting of two patches of ${\rm AdS}_3$ spacetime glued together along an ${\rm AdS}_2$ brane. These are generated by a single Virasoro algebra, as expected from the conjectured dual description in terms of a scale-invariant interface separating two conformal field theories. Contributed to the proceedings of the Francqui Colloquium 2001: `Strings and Gravity: Tying the Forces Together .'
|
hep-th/9703033
|
Dr Tsou Sheung Tsun
|
S.T. Tsou and I.P. Zois (Mathematical Institute, Oxford University)
|
Geometric interpretation of the 2-index potential as twisted de Rham
cohomology
|
latex, 10 pages, expanded with proofs and more results
| null | null | null |
hep-th
| null |
It is found that the 2-index potential in nonabelian theories does not behave
geometrically as a connection but that, considered as an element of the second
de Rham cohomology group twisted by a flat connection, it fits well with all
the properties assigned to it in various physical contexts. We also prove some
results on the Euler characteristic of the twisted de Rham complex.
|
[
{
"created": "Wed, 5 Mar 1997 12:14:46 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Mar 1997 17:08:57 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Tsou",
"S. T.",
"",
"Mathematical Institute, Oxford University"
],
[
"Zois",
"I. P.",
"",
"Mathematical Institute, Oxford University"
]
] |
It is found that the 2-index potential in nonabelian theories does not behave geometrically as a connection but that, considered as an element of the second de Rham cohomology group twisted by a flat connection, it fits well with all the properties assigned to it in various physical contexts. We also prove some results on the Euler characteristic of the twisted de Rham complex.
|
1509.04176
|
Falk Hassler
|
Pascal du Bosque, Falk Hassler, Dieter Lust
|
Flux Formulation of DFT on Group Manifolds and Generalized
Scherk-Schwarz Compactifications
|
40 pages, no figures, minor changes, published version
|
Journal of High Energy Physics, 2016(2), 1-41
|
10.1007/JHEP02(2016)039
|
LMU-ASC 60/15, MPP-2015-219
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A flux formulation of Double Field Theory on group manifold is derived and
applied to study generalized Scherk-Schwarz compactifications, which give rise
to a bosonic subsector of half-maximal, electrically gauged supergravities. In
contrast to the flux formulation of original DFT, the covariant fluxes split
into a fluctuation and a background part. The latter is connected to a
$2D$-dimensional, pseudo Riemannian manifold, which is isomorphic to a Lie
group embedded into O($D,D$). All fields and parameters of generalized
diffeomorphisms are supported on this manifold, whose metric is spanned by the
background vielbein $E_A{}^I \in$ GL($2D$). This vielbein takes the role of the
twist in conventional generalized Scherk-Schwarz compactifications. By doing
so, it solves the long standing problem of constructing an appropriate twist
for each solution of the embedding tensor. Using the geometric structure,
absent in original DFT, $E_A{}^I$ is identified with the left invariant
Maurer-Cartan form on the group manifold, in the same way as it is done in
geometric Scherk-Schwarz reductions. We show in detail how the Maurer-Cartan
form for semisimple and solvable Lie groups is constructed starting from the
Lie algebra. For all compact embeddings in O($3,3$), we calculate $E_A{}^I$.
|
[
{
"created": "Mon, 14 Sep 2015 16:09:16 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 2016 14:53:00 GMT",
"version": "v2"
}
] |
2016-02-15
|
[
[
"Bosque",
"Pascal du",
""
],
[
"Hassler",
"Falk",
""
],
[
"Lust",
"Dieter",
""
]
] |
A flux formulation of Double Field Theory on group manifold is derived and applied to study generalized Scherk-Schwarz compactifications, which give rise to a bosonic subsector of half-maximal, electrically gauged supergravities. In contrast to the flux formulation of original DFT, the covariant fluxes split into a fluctuation and a background part. The latter is connected to a $2D$-dimensional, pseudo Riemannian manifold, which is isomorphic to a Lie group embedded into O($D,D$). All fields and parameters of generalized diffeomorphisms are supported on this manifold, whose metric is spanned by the background vielbein $E_A{}^I \in$ GL($2D$). This vielbein takes the role of the twist in conventional generalized Scherk-Schwarz compactifications. By doing so, it solves the long standing problem of constructing an appropriate twist for each solution of the embedding tensor. Using the geometric structure, absent in original DFT, $E_A{}^I$ is identified with the left invariant Maurer-Cartan form on the group manifold, in the same way as it is done in geometric Scherk-Schwarz reductions. We show in detail how the Maurer-Cartan form for semisimple and solvable Lie groups is constructed starting from the Lie algebra. For all compact embeddings in O($3,3$), we calculate $E_A{}^I$.
|
hep-th/9712117
|
Ofer Aharony
|
O. Aharony, M. Berkooz and N. Seiberg
|
Light-Cone Description of (2,0) Superconformal Theories in Six
Dimensions
|
harvmac, 36 pages, v2 : references added
|
Adv.Theor.Math.Phys.2:119-153,1998
| null |
IASSNS-HEP-97/126,RU-97-93
|
hep-th
| null |
We study the (2,0) superconformal theories in six dimensions, which arise
from the low-energy limit of k coincident 5-branes, using their discrete
light-cone formulation as a superconformal quantum mechanical sigma model. We
analyze the realization of the superconformal symmetry in the quantum
mechanics, and the realization of primary operators. As an example we compute
the spectrum of chiral primary states in symmetric Spin(5)_R representations.
To facilitate the analysis we introduce and briefly discuss a new class of
Lorentz non-invariant theories, which flow in the IR to the (2,0)
superconformal field theories but differ from them in the UV.
|
[
{
"created": "Thu, 11 Dec 1997 22:25:07 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Dec 1997 20:37:30 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Aharony",
"O.",
""
],
[
"Berkooz",
"M.",
""
],
[
"Seiberg",
"N.",
""
]
] |
We study the (2,0) superconformal theories in six dimensions, which arise from the low-energy limit of k coincident 5-branes, using their discrete light-cone formulation as a superconformal quantum mechanical sigma model. We analyze the realization of the superconformal symmetry in the quantum mechanics, and the realization of primary operators. As an example we compute the spectrum of chiral primary states in symmetric Spin(5)_R representations. To facilitate the analysis we introduce and briefly discuss a new class of Lorentz non-invariant theories, which flow in the IR to the (2,0) superconformal field theories but differ from them in the UV.
|
2105.03980
|
Nikita Kolganov
|
Nikita Kolganov, Sergey Mironov, Andrey Morozov
|
Large $k$ topological quantum computer
|
14 pages, 3 figures; v2: typos corrected, figures updated
| null | null | null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Chern-Simons topological quantum computer is a device that can be effectively
described by the Chern-Simons topological quantum field theory and used for
quantum computations. Quantum qudit gates of this quantum computer are
represented by sequences of quantum $\mathcal{R}$-matrices. Its dimension and
explicit form depend on the parameters of the Chern-Simons theory -- level $k$,
gauge group $SU(N)$, and representation, which is chosen to be symmetric
representation $[r]$. In this paper, we examine the universality of such a
quantum computer. We prove that for sufficiently large $k$ it is universal, and
the minimum allowed value of $k$ depends on the remaining parameters $r$ and
$N$.
|
[
{
"created": "Sun, 9 May 2021 17:57:58 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2022 20:10:29 GMT",
"version": "v2"
}
] |
2022-02-10
|
[
[
"Kolganov",
"Nikita",
""
],
[
"Mironov",
"Sergey",
""
],
[
"Morozov",
"Andrey",
""
]
] |
Chern-Simons topological quantum computer is a device that can be effectively described by the Chern-Simons topological quantum field theory and used for quantum computations. Quantum qudit gates of this quantum computer are represented by sequences of quantum $\mathcal{R}$-matrices. Its dimension and explicit form depend on the parameters of the Chern-Simons theory -- level $k$, gauge group $SU(N)$, and representation, which is chosen to be symmetric representation $[r]$. In this paper, we examine the universality of such a quantum computer. We prove that for sufficiently large $k$ it is universal, and the minimum allowed value of $k$ depends on the remaining parameters $r$ and $N$.
|
hep-th/9304005
|
Andrzej Sitarz
|
Andrzej Sitarz
|
Higgs Mass and Noncommutative Geometry
|
23 pages LaTeX, TPJU 4/93, (minor text misprints corrected)
|
Phys.Lett. B308 (1993) 311-314
|
10.1016/0370-2693(93)91290-4
| null |
hep-th hep-ph
| null |
We show that the description of the electroweak interactions based on
noncommutative geometry of a continuous and a discrete space gives no special
relations between the Higgs mass and other parameters of the model. We prove
that there exists a gauge invariant term, linear in the curvature, which is
trivial in the standard differential geometry but nontrivial in the case of the
discrete geometry. The relations could appear only if one neglects this term,
otherwise one gets the Lagrangian of the Standard model with the exact number
of free parameters.
|
[
{
"created": "Fri, 2 Apr 1993 09:59:50 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 1993 11:30:17 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Sitarz",
"Andrzej",
""
]
] |
We show that the description of the electroweak interactions based on noncommutative geometry of a continuous and a discrete space gives no special relations between the Higgs mass and other parameters of the model. We prove that there exists a gauge invariant term, linear in the curvature, which is trivial in the standard differential geometry but nontrivial in the case of the discrete geometry. The relations could appear only if one neglects this term, otherwise one gets the Lagrangian of the Standard model with the exact number of free parameters.
|
hep-th/0607123
|
Shin Nakamura
|
Shin Nakamura and Sang-Jin Sin
|
A Holographic Dual of Hydrodynamics
|
17 pages, no figure. v2: typos corrected, published version in JHEP
|
JHEP0609:020,2006
|
10.1088/1126-6708/2006/09/020
| null |
hep-th hep-ph nucl-th
| null |
We consider a gravity dual description of time dependent, strongly
interacting large-Nc N=4 SYM. We regard the gauge theory system as a fluid with
shear viscosity. Our fluid is expanding in one direction following the
Bjorken's picture that is relevant to RHIC experiments. We obtain the dual
geometry at the late time that is consistent with dissipative hydrodynamics. We
show that the integration constants that cannot be determined by hydrodynamics
are given by looking at the horizon of the dual geometry. Relationship between
time dependence of the energy density and bulk singularity is also discussed.
|
[
{
"created": "Wed, 19 Jul 2006 02:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Oct 2006 14:37:06 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Nakamura",
"Shin",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
We consider a gravity dual description of time dependent, strongly interacting large-Nc N=4 SYM. We regard the gauge theory system as a fluid with shear viscosity. Our fluid is expanding in one direction following the Bjorken's picture that is relevant to RHIC experiments. We obtain the dual geometry at the late time that is consistent with dissipative hydrodynamics. We show that the integration constants that cannot be determined by hydrodynamics are given by looking at the horizon of the dual geometry. Relationship between time dependence of the energy density and bulk singularity is also discussed.
|
hep-th/0604137
|
Li-Sheng Tseng
|
Katrin Becker, Melanie Becker, Ji-Xiang Fu, Li-Sheng Tseng, Shing-Tung
Yau
|
Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String
Theory
|
30 pages, harvmac; v2: typos corrected and minor clarifications added
|
Nucl.Phys.B751:108-128,2006
|
10.1016/j.nuclphysb.2006.05.034
| null |
hep-th
| null |
We show that six-dimensional backgrounds that are T^2 bundle over a
Calabi-Yau two-fold base are consistent smooth solutions of heterotic flux
compactifications. We emphasize the importance of the anomaly cancellation
condition which can only be satisfied if the base is K3 while a T^4 base is
excluded. The conditions imposed by anomaly cancellation for the T^2 bundle
structure, the dilaton field, and the holomorphic stable bundles are analyzed
and the solutions determined. Applying duality, we check the consistency of the
anomaly cancellation constraints with those for flux backgrounds of M-theory on
eight-manifolds.
|
[
{
"created": "Wed, 19 Apr 2006 22:47:01 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Jun 2006 02:46:48 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
],
[
"Fu",
"Ji-Xiang",
""
],
[
"Tseng",
"Li-Sheng",
""
],
[
"Yau",
"Shing-Tung",
""
]
] |
We show that six-dimensional backgrounds that are T^2 bundle over a Calabi-Yau two-fold base are consistent smooth solutions of heterotic flux compactifications. We emphasize the importance of the anomaly cancellation condition which can only be satisfied if the base is K3 while a T^4 base is excluded. The conditions imposed by anomaly cancellation for the T^2 bundle structure, the dilaton field, and the holomorphic stable bundles are analyzed and the solutions determined. Applying duality, we check the consistency of the anomaly cancellation constraints with those for flux backgrounds of M-theory on eight-manifolds.
|
hep-th/9612195
|
Gordon Chalmers
|
Gordon Chalmers, Martin Rocek, Rikard von Unge
|
Monopoles in Quantum Corrected N=2 Super Yang-Mills Theory
|
31 pages, Latex, 10 figures (eps), minor statement corrected
| null | null |
ITP-SB-96-64, USITP-96-14
|
hep-th
| null |
We study the low-energy effective Hamiltonian of N=2 super Yang-Mills
theories. We find that the BPS equations are unchanged outside a quantum core
where higher dimension contributions are expected to be important. We find two
quantum generalizations of the BPS soliton. The leading higher-derivative
correction to the effective action is shown not to contribute to the BPS mass
formula.
|
[
{
"created": "Thu, 19 Dec 1996 00:06:59 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Dec 1996 23:21:04 GMT",
"version": "v2"
},
{
"created": "Sun, 12 Jan 1997 08:48:20 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Chalmers",
"Gordon",
""
],
[
"Rocek",
"Martin",
""
],
[
"von Unge",
"Rikard",
""
]
] |
We study the low-energy effective Hamiltonian of N=2 super Yang-Mills theories. We find that the BPS equations are unchanged outside a quantum core where higher dimension contributions are expected to be important. We find two quantum generalizations of the BPS soliton. The leading higher-derivative correction to the effective action is shown not to contribute to the BPS mass formula.
|
0905.2943
|
Riad Ziour
|
E. Babichev, C. Deffayet, R. Ziour
|
k-Mouflage gravity
|
9 pages, 1 figure. Essay written for the Gravity Research Foundation
2009 Awards for Essays on Gravitation, awarded a honorable mention
|
Int.J.Mod.Phys.D18:2147-2154,2009
|
10.1142/S0218271809016107
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a large class of scalar-tensor theories where gravity becomes
stronger at large distances via the exchange of a scalar that mixes with the
graviton. At small distances, i.e. large curvature, the scalar is screened via
an analog of the Vainshtein mechanism of massive gravity. The crossover
distance between the two regimes can be made cosmological by an appropriate
choice of the parameters.
|
[
{
"created": "Mon, 18 May 2009 19:24:10 GMT",
"version": "v1"
}
] |
2010-02-17
|
[
[
"Babichev",
"E.",
""
],
[
"Deffayet",
"C.",
""
],
[
"Ziour",
"R.",
""
]
] |
We introduce a large class of scalar-tensor theories where gravity becomes stronger at large distances via the exchange of a scalar that mixes with the graviton. At small distances, i.e. large curvature, the scalar is screened via an analog of the Vainshtein mechanism of massive gravity. The crossover distance between the two regimes can be made cosmological by an appropriate choice of the parameters.
|
hep-th/0608187
|
Jai Grover
|
Jai Grover, Jan B Gutowski, Wafic Sabra
|
Vanishing Preons in the Fifth Dimension
|
19 pages, latex. Reference added, and further modification to the
introduction
|
Class.Quant.Grav.24:417-432,2007
|
10.1088/0264-9381/24/2/009
| null |
hep-th
| null |
We examine supersymmetric solutions of N=2, D=5 gauged supergravity coupled
to an arbitrary number of abelian vector multiplets using the spinorial
geometry method. By making use of methods developed in hep-th/0606049 to
analyse preons in type IIB supergravity, we show that there are no solutions
preserving exactly 3/4 of the supersymmetry.
|
[
{
"created": "Fri, 25 Aug 2006 14:25:30 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2006 13:30:45 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Dec 2006 16:54:15 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Grover",
"Jai",
""
],
[
"Gutowski",
"Jan B",
""
],
[
"Sabra",
"Wafic",
""
]
] |
We examine supersymmetric solutions of N=2, D=5 gauged supergravity coupled to an arbitrary number of abelian vector multiplets using the spinorial geometry method. By making use of methods developed in hep-th/0606049 to analyse preons in type IIB supergravity, we show that there are no solutions preserving exactly 3/4 of the supersymmetry.
|
hep-th/9706187
|
Kenji Hamada
|
Ken-ji Hamada
|
Supersymmetric Wilson Loops in IIB Matrix Model
|
10 pages, Latex, minor typos corrected
|
Phys.Rev.D56:7503-7506,1997
|
10.1103/PhysRevD.56.R7503
| null |
hep-th
| null |
We show that the supersymmetric Wilson loops in IIB matrix model give a
transition operator from reduced supersymmetric Yang-Mills theory to
supersymmetric space-time theory. In comparison with Green-Schwarz superstring
we identify the supersymmetric Wilson loops with the asymptotic states of IIB
superstring. It is pointed out that the supersymmetry transformation law of the
Wilson loops is the inverse of that for the vertex operators of massless modes
in the U(N) open superstring with Dirichlet boundary condition.
|
[
{
"created": "Thu, 26 Jun 1997 10:11:47 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 1997 00:51:05 GMT",
"version": "v2"
}
] |
2009-12-30
|
[
[
"Hamada",
"Ken-ji",
""
]
] |
We show that the supersymmetric Wilson loops in IIB matrix model give a transition operator from reduced supersymmetric Yang-Mills theory to supersymmetric space-time theory. In comparison with Green-Schwarz superstring we identify the supersymmetric Wilson loops with the asymptotic states of IIB superstring. It is pointed out that the supersymmetry transformation law of the Wilson loops is the inverse of that for the vertex operators of massless modes in the U(N) open superstring with Dirichlet boundary condition.
|
hep-th/0010044
|
Igor Bandos
|
Igor Bandos, Tatyana Bandos
|
Lorentz harmonics and superfield action. D=10, N=1 superstring
|
23 pages, latex, no figures. V.2, minor corrections, a reference
added
|
Class.Quant.Grav. 18 (2001) 1907-1928
|
10.1088/0264-9381/18/10/307
|
FTUV-00-1005
|
hep-th
| null |
We propose a new version of the superfield action for a closed D=10, N=1
superstring where the Lorentz harmonics are used as auxiliary superfields. The
incorporation of Lorentz harmonics into the superfield action makes possible to
obtain superfield constraints of the induced worldsheet supergravity as
equations of motion. Moreover, it becomes evident that a so-called 'Wess-Zumino
part' of the superfield action is basically a Lagrangian form of the
generalized action principle. We propose to use the second Noether theorem to
handle the essential terms in the transformation lows of hidden gauge
symmetries, which remove dynamical degrees of freedom from the Lagrange
multiplier superfield.
|
[
{
"created": "Fri, 6 Oct 2000 15:08:43 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Nov 2000 10:00:13 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Bandos",
"Igor",
""
],
[
"Bandos",
"Tatyana",
""
]
] |
We propose a new version of the superfield action for a closed D=10, N=1 superstring where the Lorentz harmonics are used as auxiliary superfields. The incorporation of Lorentz harmonics into the superfield action makes possible to obtain superfield constraints of the induced worldsheet supergravity as equations of motion. Moreover, it becomes evident that a so-called 'Wess-Zumino part' of the superfield action is basically a Lagrangian form of the generalized action principle. We propose to use the second Noether theorem to handle the essential terms in the transformation lows of hidden gauge symmetries, which remove dynamical degrees of freedom from the Lagrange multiplier superfield.
|
1206.5305
|
Steffen M\"uller
|
Johanna Erdmenger, Patrick Kerner and Steffen Muller
|
Towards a Holographic Realization of Homes' Law
|
32 pages, 9 figures and 1 table
|
Journal of High Energy Physics Volume 2012, Number 10 (2012), 21
|
10.1007/JHEP10(2012)021
|
MPP-2012-100
|
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauge/gravity duality has proved to be a very successful tool for describing
strongly coupled systems in particle physics and heavy ion physics. The
application of the gauge/gravity duality to quantum matter is a promising
candidate to explain questions concerning non-zero temperature dynamics and
transport coefficients. To a large extent, the success of applications of
gauge/gravity duality to the quark-gluon plasma is founded on the derivation of
a universal result, the famous ratio of shear viscosity and entropy density. As
a base for applications to condensed matter physics, it is highly desirable to
have a similar universal relation in this context as well. A candidate for such
a universal law is given by Homes' law: High Tc superconductors, as well as
some conventional superconductors, exhibit a universal scaling relation between
the superfluid density at zero temperature and the conductivity at the critical
temperature times the critical temperature itself. In this work we describe
progress in employing the models of holographic superconductors to realize
Homes' law and to find a universal relation governing strongly correlated
quantum matter. We calculate diffusive processes, including the backreaction of
the gravitational matter fields on the geometry. We consider both holographic
s-wave and p-wave superconductors. We show that a particular form of Homes' law
holds in the absence of backreaction. Moreover, we suggest further steps to be
taken for holographically realizing Homes' law more generally in the presence
of backreaction.
|
[
{
"created": "Fri, 22 Jun 2012 20:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Sep 2012 13:19:37 GMT",
"version": "v2"
}
] |
2012-10-09
|
[
[
"Erdmenger",
"Johanna",
""
],
[
"Kerner",
"Patrick",
""
],
[
"Muller",
"Steffen",
""
]
] |
Gauge/gravity duality has proved to be a very successful tool for describing strongly coupled systems in particle physics and heavy ion physics. The application of the gauge/gravity duality to quantum matter is a promising candidate to explain questions concerning non-zero temperature dynamics and transport coefficients. To a large extent, the success of applications of gauge/gravity duality to the quark-gluon plasma is founded on the derivation of a universal result, the famous ratio of shear viscosity and entropy density. As a base for applications to condensed matter physics, it is highly desirable to have a similar universal relation in this context as well. A candidate for such a universal law is given by Homes' law: High Tc superconductors, as well as some conventional superconductors, exhibit a universal scaling relation between the superfluid density at zero temperature and the conductivity at the critical temperature times the critical temperature itself. In this work we describe progress in employing the models of holographic superconductors to realize Homes' law and to find a universal relation governing strongly correlated quantum matter. We calculate diffusive processes, including the backreaction of the gravitational matter fields on the geometry. We consider both holographic s-wave and p-wave superconductors. We show that a particular form of Homes' law holds in the absence of backreaction. Moreover, we suggest further steps to be taken for holographically realizing Homes' law more generally in the presence of backreaction.
|
hep-th/0003048
|
David Fairlie
|
L.M. Baker and D.B. Fairlie
|
Hamilton-Jacobi equations and Brane associated Lagrangians
|
23 pages,LaTeX2e, clarified text, generalised proof in appendix
|
Nucl.Phys. B596 (2001) 348-364
|
10.1016/S0550-3213(00)00703-3
| null |
hep-th
| null |
This article seeks to relate a recent proposal for the association of a
covariant Field Theory with a string or brane Lagrangian to the Hamilton-Jacobi
formalism for strings and branes. It turns out that since in this special case,
the Hamiltonian depends only upon the momenta of the Jacobi fields and not the
fields themselves, it is the same as a Lagrangian, subject to a constancy
constraint. We find that the associated Lagrangians for strings or branes have
a covariant description in terms of the square root of the same Lagrangian. If
the Hamilton-Jacobi function is zero, rather than a constant, then it is in in
one dimension lower, reminiscent of the `holographic' idea. In the second part
of the paper, we discuss properties of these Lagrangians, which lead to what we
have called `Universal Field Equations', characteristic of covariant equations
of motion.
|
[
{
"created": "Tue, 7 Mar 2000 14:08:38 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2000 10:49:19 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Nov 2000 16:01:52 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Baker",
"L. M.",
""
],
[
"Fairlie",
"D. B.",
""
]
] |
This article seeks to relate a recent proposal for the association of a covariant Field Theory with a string or brane Lagrangian to the Hamilton-Jacobi formalism for strings and branes. It turns out that since in this special case, the Hamiltonian depends only upon the momenta of the Jacobi fields and not the fields themselves, it is the same as a Lagrangian, subject to a constancy constraint. We find that the associated Lagrangians for strings or branes have a covariant description in terms of the square root of the same Lagrangian. If the Hamilton-Jacobi function is zero, rather than a constant, then it is in in one dimension lower, reminiscent of the `holographic' idea. In the second part of the paper, we discuss properties of these Lagrangians, which lead to what we have called `Universal Field Equations', characteristic of covariant equations of motion.
|
2407.17175
|
Sven Stawinski
|
Claude Duhr, Franziska Porkert, Cathrin Semper, Sven F. Stawinski
|
Twisted Riemann bilinear relations and Feynman integrals
| null | null | null |
BONN-TH-2024-10
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the framework of twisted cohomology, we study twisted Riemann bilinear
relations (TRBRs) satisfied by multi-loop Feynman integrals and their cuts in
dimensional regularisation. After showing how to associate to a given family of
Feynman integrals a period matrix whose entries are cuts, we investigate the
TRBRs satisfied by this period matrix, its dual and the intersection matrices
for twisted cycles and co-cycles. For maximal cuts, the non-relative framework
is applicable, and the period matrix and its dual are related in a simple
manner. We then find that the TRBRs give rise to quadratic relations that
generalise quadratic relations that have previously appeared in the literature.
However, we find that the TRBRs do not allow us to obtain quadratic relations
for non-maximal cuts or completely uncut Feynman integrals. This can be traced
back to the fact that the TRBRs are not quadratic in the period matrix, but
separately linear in the period matrix and its dual, and the two are not simply
related in the case of a relative cohomology theory, which is required for
non-maximal cuts.
|
[
{
"created": "Wed, 24 Jul 2024 11:25:34 GMT",
"version": "v1"
}
] |
2024-07-25
|
[
[
"Duhr",
"Claude",
""
],
[
"Porkert",
"Franziska",
""
],
[
"Semper",
"Cathrin",
""
],
[
"Stawinski",
"Sven F.",
""
]
] |
Using the framework of twisted cohomology, we study twisted Riemann bilinear relations (TRBRs) satisfied by multi-loop Feynman integrals and their cuts in dimensional regularisation. After showing how to associate to a given family of Feynman integrals a period matrix whose entries are cuts, we investigate the TRBRs satisfied by this period matrix, its dual and the intersection matrices for twisted cycles and co-cycles. For maximal cuts, the non-relative framework is applicable, and the period matrix and its dual are related in a simple manner. We then find that the TRBRs give rise to quadratic relations that generalise quadratic relations that have previously appeared in the literature. However, we find that the TRBRs do not allow us to obtain quadratic relations for non-maximal cuts or completely uncut Feynman integrals. This can be traced back to the fact that the TRBRs are not quadratic in the period matrix, but separately linear in the period matrix and its dual, and the two are not simply related in the case of a relative cohomology theory, which is required for non-maximal cuts.
|
1405.7793
|
Sugumi Kanno
|
Sugumi Kanno
|
Impact of quantum entanglement on spectrum of cosmological fluctuations
|
21 pages, 5 figures. A normalization error is corrected. The
qualitative result remains unchanged
|
JCAP 1407 (2014) 029
|
10.1088/1475-7516/2014/07/029
|
QGASLAB-14-04
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the effect of entanglement between two causally separated open
charts in de Sitter space on the spectrum of vacuum fluctuations. We consider a
free massive scalar field, and construct the reduced density matrix by tracing
out the vacuum state for one of the open charts, as recently derived by
Maldacena and Pimentel. We formulate the mean-square vacuum fluctuations by
using the reduced density matrix and show that the scale invariant spectrum of
massless scalar field is realized on small scales. On the other hand, we find
that the quantum entanglement affects the shape of the spectrum on large scales
comparable to or greater than the curvature radius.
|
[
{
"created": "Fri, 30 May 2014 07:52:59 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2014 08:16:10 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Dec 2014 07:45:53 GMT",
"version": "v3"
}
] |
2014-12-09
|
[
[
"Kanno",
"Sugumi",
""
]
] |
We investigate the effect of entanglement between two causally separated open charts in de Sitter space on the spectrum of vacuum fluctuations. We consider a free massive scalar field, and construct the reduced density matrix by tracing out the vacuum state for one of the open charts, as recently derived by Maldacena and Pimentel. We formulate the mean-square vacuum fluctuations by using the reduced density matrix and show that the scale invariant spectrum of massless scalar field is realized on small scales. On the other hand, we find that the quantum entanglement affects the shape of the spectrum on large scales comparable to or greater than the curvature radius.
|
1409.7545
|
Razieh Morad
|
R. Morad and W. A. Horowitz
|
Strong-coupling Jet Energy Loss from AdS/CFT
|
28 pages, 9 figures
| null |
10.1007/JHEP11(2014)017
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a novel definition of a holographic light hadron jet and consider
the phenomenological consequences, including the very first fully
self-consistent, completely strong-coupling calculation of the jet nuclear
modification factor $R_{AA}$, which we find compares surprisingly well with
recent preliminary data from LHC. We show that the thermalization distance for
light parton jets is an extremely sensitive function of the \emph{a priori}
unspecified string initial conditions and that worldsheets corresponding to
non-asymptotic energy jets are not well approximated by a collection of null
geodesics. Our new string jet prescription, which is defined by a separation of
scales from plasma to jet, leads to the re-emergence of the late-time Bragg
peak in the instantaneous jet energy loss rate; unlike heavy quarks, the energy
loss rate is unusually sensitive to the very definition of the string theory
object itself. A straightforward application of the new jet definition leads to
significant jet quenching, even in the absence of plasma. By renormalizing the
in-medium suppression by that in the vacuum we find qualitative agreement with
preliminary CMS $R_{AA}^{jet}(p_T)$ data in our simple plasma brick model. We
close with comments on our results and an outlook on future work.
|
[
{
"created": "Fri, 26 Sep 2014 11:50:03 GMT",
"version": "v1"
}
] |
2014-11-17
|
[
[
"Morad",
"R.",
""
],
[
"Horowitz",
"W. A.",
""
]
] |
We propose a novel definition of a holographic light hadron jet and consider the phenomenological consequences, including the very first fully self-consistent, completely strong-coupling calculation of the jet nuclear modification factor $R_{AA}$, which we find compares surprisingly well with recent preliminary data from LHC. We show that the thermalization distance for light parton jets is an extremely sensitive function of the \emph{a priori} unspecified string initial conditions and that worldsheets corresponding to non-asymptotic energy jets are not well approximated by a collection of null geodesics. Our new string jet prescription, which is defined by a separation of scales from plasma to jet, leads to the re-emergence of the late-time Bragg peak in the instantaneous jet energy loss rate; unlike heavy quarks, the energy loss rate is unusually sensitive to the very definition of the string theory object itself. A straightforward application of the new jet definition leads to significant jet quenching, even in the absence of plasma. By renormalizing the in-medium suppression by that in the vacuum we find qualitative agreement with preliminary CMS $R_{AA}^{jet}(p_T)$ data in our simple plasma brick model. We close with comments on our results and an outlook on future work.
|
1906.05595
|
Marco Danilo Claudio Torri
|
M.D.C. Torri, V. Antonelli, L. Miramonti
|
Homogeneously Modified Special Relativity (HMSR) -- A new possible way
to introduce an isotropic Lorentz Invariance Violation in particle Standard
Model
|
Full article
|
Eur.Phys.J. C79 (2019) no.9, 808
|
10.1140/epjc/s10052-019-7301-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work explores a Standard Model (S.M.) extension possibility, that
violates Lorentz invariance, preserving the space-time isotropy and
homogeneity. In this sense HMSR represents an attempt to introduce an isotropic
Lorentz Invariance Violation in the elementary particle S.M. The theory is
constructed starting from a modified kinematics, that takes into account
supposed quantum effects due to interaction with the space-time background. The
space-time structure itself is modified, resulting in a pseudo-Finsler
manifold. The S.M. extension here provided is inspired by the effective fields
theories, but it preserves covariance, with respect to newly introduced
modified Lorentz transformations. Geometry perturbations are not considered as
universal, but particle species dependent. Non universal character of the
amended Lorentz transformations allows to obtain visible physical effects,
detectable in experiments by comparing different perturbations related to
different interacting particles species.
|
[
{
"created": "Thu, 13 Jun 2019 10:42:50 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Jun 2019 13:45:53 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Oct 2019 15:21:03 GMT",
"version": "v3"
}
] |
2019-10-03
|
[
[
"Torri",
"M. D. C.",
""
],
[
"Antonelli",
"V.",
""
],
[
"Miramonti",
"L.",
""
]
] |
This work explores a Standard Model (S.M.) extension possibility, that violates Lorentz invariance, preserving the space-time isotropy and homogeneity. In this sense HMSR represents an attempt to introduce an isotropic Lorentz Invariance Violation in the elementary particle S.M. The theory is constructed starting from a modified kinematics, that takes into account supposed quantum effects due to interaction with the space-time background. The space-time structure itself is modified, resulting in a pseudo-Finsler manifold. The S.M. extension here provided is inspired by the effective fields theories, but it preserves covariance, with respect to newly introduced modified Lorentz transformations. Geometry perturbations are not considered as universal, but particle species dependent. Non universal character of the amended Lorentz transformations allows to obtain visible physical effects, detectable in experiments by comparing different perturbations related to different interacting particles species.
|
hep-th/9906101
|
Dieter Luest
|
Ralph Blumenhagen, Anamaria Font, Dieter Lust
|
Non-Supersymmetric Gauge Theories from D-Branes in Type 0 String Theory
|
32 pages, harvmac, replaced version: minor typos corrected, refs.
added
|
Nucl.Phys.B560:66-92,1999
|
10.1016/S0550-3213(99)00443-5
|
HUB-EP-99/28
|
hep-th
| null |
We construct non-supersymmetric four dimensional gauge theories arising as
effective theories of D-branes placed on various singularities in Type 0B
string theory. We mostly focus on models which are conformal in the large N
limit and present both examples appearing on self-dual D3-branes on orbifold
singularities and examples including orientifold planes. Moreover, we derive
type 0 Hanany-Witten setups with NS 5-branes intersected by D-branes and the
corresponding rules for determining the massless spectra. Finally, we discuss
possible duality symmetries (Seiberg-duality) for non-supersymmetric gauge
theories within this framework.
|
[
{
"created": "Mon, 14 Jun 1999 18:55:20 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jul 1999 14:58:49 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Font",
"Anamaria",
""
],
[
"Lust",
"Dieter",
""
]
] |
We construct non-supersymmetric four dimensional gauge theories arising as effective theories of D-branes placed on various singularities in Type 0B string theory. We mostly focus on models which are conformal in the large N limit and present both examples appearing on self-dual D3-branes on orbifold singularities and examples including orientifold planes. Moreover, we derive type 0 Hanany-Witten setups with NS 5-branes intersected by D-branes and the corresponding rules for determining the massless spectra. Finally, we discuss possible duality symmetries (Seiberg-duality) for non-supersymmetric gauge theories within this framework.
|
2005.07189
|
Monica Jinwoo Kang
|
Elliott Gesteau and Monica Jinwoo Kang
|
Thermal states are vital: Entanglement Wedge Reconstruction from
Operator-Pushing
|
38 pages, 4 figures, 1 table
| null | null |
CALT-TH-2020-020
|
hep-th math-ph math.MP math.OA quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a general construction of a setup that verifies bulk reconstruction,
conservation of relative entropies, and equality of modular flows between the
bulk and the boundary, for infinite-dimensional systems with operator-pushing.
In our setup, a bulk-to-boundary map is defined at the level of the
$C^*$-algebras of state-independent observables. We then show that if the
boundary dynamics allow for the existence of a KMS state, physically relevant
Hilbert spaces and von Neumann algebras can be constructed directly from our
framework. Our construction should be seen as a state-dependent construction of
the other side of a wormhole and clarifies the meaning of black hole
reconstruction claims such as the Papadodimas-Raju proposal. As an
illustration, we apply our result to construct a wormhole based on the HaPPY
code, which satisfies all properties of entanglement wedge reconstruction.
|
[
{
"created": "Thu, 14 May 2020 17:59:59 GMT",
"version": "v1"
}
] |
2020-05-15
|
[
[
"Gesteau",
"Elliott",
""
],
[
"Kang",
"Monica Jinwoo",
""
]
] |
We give a general construction of a setup that verifies bulk reconstruction, conservation of relative entropies, and equality of modular flows between the bulk and the boundary, for infinite-dimensional systems with operator-pushing. In our setup, a bulk-to-boundary map is defined at the level of the $C^*$-algebras of state-independent observables. We then show that if the boundary dynamics allow for the existence of a KMS state, physically relevant Hilbert spaces and von Neumann algebras can be constructed directly from our framework. Our construction should be seen as a state-dependent construction of the other side of a wormhole and clarifies the meaning of black hole reconstruction claims such as the Papadodimas-Raju proposal. As an illustration, we apply our result to construct a wormhole based on the HaPPY code, which satisfies all properties of entanglement wedge reconstruction.
|
hep-th/9709047
|
Harutada Sato
|
Haru-Tada Sato
|
Deformation of Super Virasoro Algebra in Noncommutative Quantum
Superspace
|
10 pages, Latex
|
Phys.Lett. B415 (1997) 170-174
|
10.1016/S0370-2693(97)01228-8
|
NBI-HE-97-34
|
hep-th
| null |
We present a twisted commutator deformation for $N=1,2$ super Virasoro
algebras based on $GL_q(1,1)$ covariant noncommutative superspace.
|
[
{
"created": "Fri, 5 Sep 1997 15:58:22 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Sato",
"Haru-Tada",
""
]
] |
We present a twisted commutator deformation for $N=1,2$ super Virasoro algebras based on $GL_q(1,1)$ covariant noncommutative superspace.
|
1312.4900
|
Michael Abbott
|
Michael C. Abbott, Jeff Murugan, Andrea Prinsloo, Nitin Rughoonauth
|
Meromorphic Functions and the Topology of Giant Gravitons
|
10 pages, 8 figures
|
Phys. Lett. B730 (2014) 215-220
|
10.1016/j.physletb.2014.01.052
|
QGASLAB-13-12-01, DMUS-MP-13/21
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using Mikhailov's map from holomorphic functions to supersymmetric D3-brane
solutions, we show how to construct giant gravitons in AdS5 x S5 with toroidal
topologies. In the 1/4-BPS sector we show that these are always of the form #^K
(S2 x S1), and in the limit in which this becomes a set of m+n perpendicular
spherical giants re-connected near to their intersections, we find K in terms
of m,n. In the 1/8-BPS sector we find a similar class of solutions.
|
[
{
"created": "Tue, 17 Dec 2013 19:24:24 GMT",
"version": "v1"
}
] |
2015-02-19
|
[
[
"Abbott",
"Michael C.",
""
],
[
"Murugan",
"Jeff",
""
],
[
"Prinsloo",
"Andrea",
""
],
[
"Rughoonauth",
"Nitin",
""
]
] |
Using Mikhailov's map from holomorphic functions to supersymmetric D3-brane solutions, we show how to construct giant gravitons in AdS5 x S5 with toroidal topologies. In the 1/4-BPS sector we show that these are always of the form #^K (S2 x S1), and in the limit in which this becomes a set of m+n perpendicular spherical giants re-connected near to their intersections, we find K in terms of m,n. In the 1/8-BPS sector we find a similar class of solutions.
|
1208.0339
|
Daniel Grumiller
|
S. Deser, S. Ertl, D. Grumiller
|
Canonical bifurcation in higher derivative, higher spin, theories
|
10 pages, v2: typos corrected, v3: new title to reflect greatly
expanded version, to appear in special issue of J Phys A (eds, M Vasiliev & M
Gaberdiel)
|
J. Phys. A: Math. Theor. 46 (2013) 214018
|
10.1088/1751-8113/46/21/214018
|
TUW-12-21
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a non-perturbative canonical analysis of the D=3
quadratic-curvature, yet ghost-free, model to exemplify a novel, "constraint
bifurcation", effect. Consequences include a jump in excitation count: a
linearized level gauge variable is promoted to a dynamical one in the full
theory. We illustrate these results with their concrete perturbative
counterparts. They are of course mutually consistent, as are perturbative
findings in related models. A geometrical interpretation in terms of
propagating torsion reveals the model's relation to an (improved) version of
Einstein-Weyl gravity at the linearized level. Finally, we list some necessary
conditions for triggering the bifurcation phenomenon in general interacting
gauge systems.
|
[
{
"created": "Wed, 1 Aug 2012 20:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Aug 2012 12:15:49 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Aug 2012 14:52:48 GMT",
"version": "v3"
}
] |
2013-06-10
|
[
[
"Deser",
"S.",
""
],
[
"Ertl",
"S.",
""
],
[
"Grumiller",
"D.",
""
]
] |
We present a non-perturbative canonical analysis of the D=3 quadratic-curvature, yet ghost-free, model to exemplify a novel, "constraint bifurcation", effect. Consequences include a jump in excitation count: a linearized level gauge variable is promoted to a dynamical one in the full theory. We illustrate these results with their concrete perturbative counterparts. They are of course mutually consistent, as are perturbative findings in related models. A geometrical interpretation in terms of propagating torsion reveals the model's relation to an (improved) version of Einstein-Weyl gravity at the linearized level. Finally, we list some necessary conditions for triggering the bifurcation phenomenon in general interacting gauge systems.
|
hep-th/0106206
|
Dominic Brecher
|
D. Brecher, P. M. Saffin
|
A note on the Supergravity Description of Dielectric Branes
|
v1: 15 pages, 6 figures, LaTeX. v2: 18 pages, 7 figures, LaTeX,
including a discussion of stability issues and a brief analysis of certain
smeared supergravity solutions
|
Nucl.Phys. B613 (2001) 218-236
|
10.1016/S0550-3213(01)00382-0
|
DCPT-01/51
|
hep-th
| null |
We comment on the recent papers by Costa et al and Emparan, which show how
one might generate supergravity solutions describing certain dielectric branes
in ten dimensions. The ``basic'' such solutions describe either N fundamental
strings or N D4-branes expanding into a D6-brane, with topology M^2 x S^5 or
M^5 x S^2 respectively. Treating these solutions in a unified way, we note that
they allow for precisely two values of the radius of the relevant sphere, and
that the solution with the smaller value of the radius has the lower energy.
Moreover, the possible radii in both cases agree up to numerical factors with
the corresponding solutions of the D6-brane worldvolume theory. We thus argue
that these supergravity solutions are the correct gravitational description of
the dielectric branes of Emparan and Myers.
|
[
{
"created": "Fri, 22 Jun 2001 12:21:55 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2001 08:41:20 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Brecher",
"D.",
""
],
[
"Saffin",
"P. M.",
""
]
] |
We comment on the recent papers by Costa et al and Emparan, which show how one might generate supergravity solutions describing certain dielectric branes in ten dimensions. The ``basic'' such solutions describe either N fundamental strings or N D4-branes expanding into a D6-brane, with topology M^2 x S^5 or M^5 x S^2 respectively. Treating these solutions in a unified way, we note that they allow for precisely two values of the radius of the relevant sphere, and that the solution with the smaller value of the radius has the lower energy. Moreover, the possible radii in both cases agree up to numerical factors with the corresponding solutions of the D6-brane worldvolume theory. We thus argue that these supergravity solutions are the correct gravitational description of the dielectric branes of Emparan and Myers.
|
1703.10338
|
Dan Radu Grigore
|
Dan-Radu Grigore
|
Multi-Graviton Theories in the Causal Approach
|
18 pages. arXiv admin note: text overlap with arXiv:1612.04998
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The system of multi-gravitons has been considered before in the framework of
functional formalism. We consider here the system of multi-gravitons in the
causal formalism of quantum field theory. We derive in this formalism the fact
that distinct gravitons cannot interact. The proof is based on a careful
analysis of the first two orders of the perturbation theory.
|
[
{
"created": "Thu, 30 Mar 2017 07:46:43 GMT",
"version": "v1"
}
] |
2017-03-31
|
[
[
"Grigore",
"Dan-Radu",
""
]
] |
The system of multi-gravitons has been considered before in the framework of functional formalism. We consider here the system of multi-gravitons in the causal formalism of quantum field theory. We derive in this formalism the fact that distinct gravitons cannot interact. The proof is based on a careful analysis of the first two orders of the perturbation theory.
|
2305.10490
|
Ralph Blumenhagen
|
Ralph Blumenhagen, Aleksandar Gligovic, Antonia Paraskevopoulou
|
The Emergence Proposal and the Emergent String
|
52 pages, 5 figures, v2: implications for emergence proposal
clarified, final version to be published in JHEP
| null | null |
MPP-2023-96
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We explore the Emergence Proposal for the moduli metric and the gauge
couplings in a concrete model with 7 saxionic and 7 axionic moduli fields,
namely the compactification of the type IIA superstring on a 6-dimensional
toroidal orbifold. We show that consistency requires integrating out precisely
the 12 towers of light particle species arising from KK and string/brane
winding modes and one asymptotically tensionless string up to the species
scale. After pointing out an issue with the correct definition of the species
scale in the presence of string towers, we carry out the emergence computation
and find that the KK and winding modes indeed impose the classical moduli
dependence on the one-loop corrections, while the emergent string induces
moduli dependent logarithmic suppressions. The interpretation of these results
for the Emergence Proposal are discussed revealing a couple of new and still
not completely settled aspects.
|
[
{
"created": "Wed, 17 May 2023 18:00:20 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 2023 08:44:09 GMT",
"version": "v2"
}
] |
2023-10-17
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Gligovic",
"Aleksandar",
""
],
[
"Paraskevopoulou",
"Antonia",
""
]
] |
We explore the Emergence Proposal for the moduli metric and the gauge couplings in a concrete model with 7 saxionic and 7 axionic moduli fields, namely the compactification of the type IIA superstring on a 6-dimensional toroidal orbifold. We show that consistency requires integrating out precisely the 12 towers of light particle species arising from KK and string/brane winding modes and one asymptotically tensionless string up to the species scale. After pointing out an issue with the correct definition of the species scale in the presence of string towers, we carry out the emergence computation and find that the KK and winding modes indeed impose the classical moduli dependence on the one-loop corrections, while the emergent string induces moduli dependent logarithmic suppressions. The interpretation of these results for the Emergence Proposal are discussed revealing a couple of new and still not completely settled aspects.
|
1006.0483
|
Joseph Marsano
|
Joseph Marsano, Natalia Saulina, Sakura Schafer-Nameki
|
A Note on G-Fluxes for F-theory Model Building
|
41 pages + 2 appendices; v2 references added, typo in (2.14)
corrected
|
JHEP 1011:088,2010
|
10.1007/JHEP11(2010)088
|
EFI-10-13, NSF-KITP-10-073, PI-strings-186
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a description of G-fluxes that induce chirality in 4-dimensional
F-theory GUT spectra that is intrinsic to F-theory and does not rely on
Heterotic/F-theory duality. Using this, we describe how to globally extend
fluxes that have been constructed in a semi-local setting and obtain an
F-theoretic formula for computing the chiral spectrum that they induce.
Chirality computations agree with those from the semi-local Higgs bundle
analysis for matter fields that are charged under the GUT-group, and hence with
the standard Heterotic formulae where applicable. Finally, the relation of
G-fluxes to SU(5)_{perp} bundles on the F-theory 4-fold is discussed and used
to motivate a quantization rule that is consistent both with the Higgs bundle
one as well as the Heterotic one when a Heterotic dual exists.
|
[
{
"created": "Wed, 2 Jun 2010 20:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2011 19:28:32 GMT",
"version": "v2"
}
] |
2011-03-18
|
[
[
"Marsano",
"Joseph",
""
],
[
"Saulina",
"Natalia",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] |
We propose a description of G-fluxes that induce chirality in 4-dimensional F-theory GUT spectra that is intrinsic to F-theory and does not rely on Heterotic/F-theory duality. Using this, we describe how to globally extend fluxes that have been constructed in a semi-local setting and obtain an F-theoretic formula for computing the chiral spectrum that they induce. Chirality computations agree with those from the semi-local Higgs bundle analysis for matter fields that are charged under the GUT-group, and hence with the standard Heterotic formulae where applicable. Finally, the relation of G-fluxes to SU(5)_{perp} bundles on the F-theory 4-fold is discussed and used to motivate a quantization rule that is consistent both with the Higgs bundle one as well as the Heterotic one when a Heterotic dual exists.
|
hep-th/0404226
|
Jorgen Rasmussen
|
Jorgen Rasmussen
|
On string backgrounds and (logarithmic) CFT
|
9 pages, invited contribution to the proceedings on the IX-th
Workshop on Mathematical Physics and Applications, Rabat, 23-25 February 2004
|
Afr.J.Math.Phys.1:171-175,2004
| null | null |
hep-th
| null |
We discuss the link between string backgrounds and the associated world-sheet
CFTs. In the search for new backgrounds and CFTs, Penrose limits and Lie
algebra contractions are important tools. The Nappi-Witten construction and the
recently discovered logarithmic CFT by Bakas and Sfetsos, are considered as
illustrations. We also speculate on possible extensions.
|
[
{
"created": "Wed, 28 Apr 2004 14:01:05 GMT",
"version": "v1"
}
] |
2011-06-27
|
[
[
"Rasmussen",
"Jorgen",
""
]
] |
We discuss the link between string backgrounds and the associated world-sheet CFTs. In the search for new backgrounds and CFTs, Penrose limits and Lie algebra contractions are important tools. The Nappi-Witten construction and the recently discovered logarithmic CFT by Bakas and Sfetsos, are considered as illustrations. We also speculate on possible extensions.
|
0706.3690
|
Ali Chamseddine
|
Ali H. Chamseddine, Alain Connes
|
Conceptual Explanation for the Algebra in the Noncommutative Approach to
the Standard Model
|
Title change only. The title "A Dress for SM the Beggar" was changed
by the Editor of Physical Review Letters
|
Phys.Rev.Lett.99:191601,2007
|
10.1103/PhysRevLett.99.191601
| null |
hep-th hep-ph
| null |
The purpose of this letter is to remove the arbitrariness of the ad hoc
choice of the algebra and its representation in the noncommutative approach to
the Standard Model, which was begging for a conceptual explanation. We assume
as before that space-time is the product of a four-dimensional manifold by a
finite noncommmutative space F. The spectral action is the pure gravitational
action for the product space. To remove the above arbitrariness, we classify
the irreducibe geometries F consistent with imposing reality and chiral
conditions on spinors, to avoid the fermion doubling problem, which amounts to
have total dimension 10 (in the K-theoretic sense). It gives, almost uniquely,
the Standard Model with all its details, predicting the number of fermions per
generation to be 16, their representations and the Higgs breaking mechanism,
with very little input. The geometrical model is valid at the unification
scale, and has relations connecting the gauge couplings to each other and to
the Higgs coupling. This gives a prediction of the Higgs mass of around 170 GeV
and a mass relation connecting the sum of the square of the masses of the
fermions to the W mass square, which enables us to predict the top quark mass
compatible with the measured experimental value. We thus manage to have the
advantages of both SO(10) and Kaluza-Klein unification, without paying the
price of plethora of Higgs fields or the infinite tower of states.
|
[
{
"created": "Mon, 25 Jun 2007 18:18:23 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jun 2007 15:46:24 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Nov 2007 08:09:02 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"Connes",
"Alain",
""
]
] |
The purpose of this letter is to remove the arbitrariness of the ad hoc choice of the algebra and its representation in the noncommutative approach to the Standard Model, which was begging for a conceptual explanation. We assume as before that space-time is the product of a four-dimensional manifold by a finite noncommmutative space F. The spectral action is the pure gravitational action for the product space. To remove the above arbitrariness, we classify the irreducibe geometries F consistent with imposing reality and chiral conditions on spinors, to avoid the fermion doubling problem, which amounts to have total dimension 10 (in the K-theoretic sense). It gives, almost uniquely, the Standard Model with all its details, predicting the number of fermions per generation to be 16, their representations and the Higgs breaking mechanism, with very little input. The geometrical model is valid at the unification scale, and has relations connecting the gauge couplings to each other and to the Higgs coupling. This gives a prediction of the Higgs mass of around 170 GeV and a mass relation connecting the sum of the square of the masses of the fermions to the W mass square, which enables us to predict the top quark mass compatible with the measured experimental value. We thus manage to have the advantages of both SO(10) and Kaluza-Klein unification, without paying the price of plethora of Higgs fields or the infinite tower of states.
|
0711.0774
|
Kimball A. Milton
|
Kimball A. Milton and Jef Wagner
|
Exact Casimir Interaction Between Semitransparent Spheres and Cylinders
|
5 pages, 4 eps figures; expanded discussion of previous work and
additional references added, minor typos corrected
|
Phys.Rev.D77:045005,2008
|
10.1103/PhysRevD.77.045005
| null |
hep-th quant-ph
| null |
A multiple scattering formulation is used to calculate the force, arising
from fluctuating scalar fields, between distinct bodies described by
$\delta$-function potentials, so-called semitransparent bodies. (In the limit
of strong coupling, a semitransparent boundary becomes a Dirichlet one.) We
obtain expressions for the Casimir energies between disjoint parallel
semitransparent cylinders and between disjoint semitransparent spheres. In the
limit of weak coupling, we derive power series expansions for the energy, which
can be exactly summed, so that explicit, very simple, closed-form expressions
are obtained in both cases. The proximity force theorem holds when the objects
are almost touching, but is subject to large corrections as the bodies are
moved further apart.
|
[
{
"created": "Mon, 5 Nov 2007 23:01:57 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2007 23:16:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Milton",
"Kimball A.",
""
],
[
"Wagner",
"Jef",
""
]
] |
A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling, a semitransparent boundary becomes a Dirichlet one.) We obtain expressions for the Casimir energies between disjoint parallel semitransparent cylinders and between disjoint semitransparent spheres. In the limit of weak coupling, we derive power series expansions for the energy, which can be exactly summed, so that explicit, very simple, closed-form expressions are obtained in both cases. The proximity force theorem holds when the objects are almost touching, but is subject to large corrections as the bodies are moved further apart.
|
hep-th/9510206
|
Ivan Avramidi
|
Ivan G. Avramidi and Rainer Schimming
|
Algorithms for the calculation of the heat kernel coefficients
|
12 pages, Plain TeX, 35 KB, no figures, to appear in Proc. of 3rd
Workshop `Quantum Field Theory under Influence of External Conditions',
Leipzig, Sep. 18-22, 1995
|
in: Quantum Theory under the Influence of External Conditions, Ed.
M. Bordag, Teubner-Texte zur Physik, vol. 30, (Stuttgart: Teubner, 1996) pp.
150-162
| null |
University of Greifswald (October, 1995)
|
hep-th gr-qc
| null |
We present a brief overview of several approaches for calculating the local
asymptotic expansion of the heat kernel for Laplace-type operators. The
different methods developed in the papers of both authors some time ago are
described in more detail.
|
[
{
"created": "Sat, 28 Oct 1995 15:20:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Avramidi",
"Ivan G.",
""
],
[
"Schimming",
"Rainer",
""
]
] |
We present a brief overview of several approaches for calculating the local asymptotic expansion of the heat kernel for Laplace-type operators. The different methods developed in the papers of both authors some time ago are described in more detail.
|
1703.06142
|
Blagoje Oblak
|
Blagoje Oblak
|
Berry Phases on Virasoro Orbits
|
34 pages, 3 figures. v2: examples moved to appendix + minor
clarifications. Published in JHEP
| null |
10.1007/JHEP10(2017)114
| null |
hep-th cond-mat.str-el gr-qc math.RT quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We point out that unitary representations of the Virasoro algebra contain
Berry phases obtained by acting on a primary state with conformal
transformations that trace a closed path on a Virasoro coadjoint orbit. These
phases can be computed exactly thanks to the Maurer-Cartan form on the Virasoro
group, and they persist after combining left- and right-moving sectors.
Thinking of Virasoro representations as particles in AdS_3 dressed with
boundary gravitons, the Berry phases associated with Brown-Henneaux
diffeomorphisms provide a gravitational extension of Thomas precession.
|
[
{
"created": "Fri, 17 Mar 2017 18:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Oct 2017 18:19:38 GMT",
"version": "v2"
}
] |
2017-11-22
|
[
[
"Oblak",
"Blagoje",
""
]
] |
We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit. These phases can be computed exactly thanks to the Maurer-Cartan form on the Virasoro group, and they persist after combining left- and right-moving sectors. Thinking of Virasoro representations as particles in AdS_3 dressed with boundary gravitons, the Berry phases associated with Brown-Henneaux diffeomorphisms provide a gravitational extension of Thomas precession.
|
hep-th/0602241
|
Thomas Grimm
|
Iman Benmachiche, Thomas W. Grimm
|
Generalized N=1 Orientifold Compactifications and the Hitchin
functionals
|
57 pages, references added
|
Nucl.Phys.B748:200-252,2006
|
10.1016/j.nuclphysb.2006.05.003
| null |
hep-th
| null |
The four-dimensional N=1 supergravity theories arising in compactifications
of type IIA and type IIB on generalized orientifold backgrounds with background
fluxes are discussed. The Kahler potentials are derived for reductions on SU(3)
structure orientifolds and shown to consist of the logarithm of the two Hitchin
functionals. These are functions of even and odd forms parameterizing the
geometry of the internal manifold, the B-field and the dilaton. The
superpotentials induced by background fluxes and the non-Calabi-Yau geometry
are determined by a reduction of the type IIA and type IIB fermionic actions on
SU(3) and generalized SU(3) x SU(3) manifolds. Mirror spaces of Calabi-Yau
orientifolds with electric and part of the magnetic NS-NS fluxes are
conjectured to be certain SU(3) x SU(3) structure manifolds. Evidence for this
identification is provided by comparing the generalized type IIA and type IIB
superpotentials.
|
[
{
"created": "Thu, 23 Feb 2006 04:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2006 17:58:29 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2006 20:15:47 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Benmachiche",
"Iman",
""
],
[
"Grimm",
"Thomas W.",
""
]
] |
The four-dimensional N=1 supergravity theories arising in compactifications of type IIA and type IIB on generalized orientifold backgrounds with background fluxes are discussed. The Kahler potentials are derived for reductions on SU(3) structure orientifolds and shown to consist of the logarithm of the two Hitchin functionals. These are functions of even and odd forms parameterizing the geometry of the internal manifold, the B-field and the dilaton. The superpotentials induced by background fluxes and the non-Calabi-Yau geometry are determined by a reduction of the type IIA and type IIB fermionic actions on SU(3) and generalized SU(3) x SU(3) manifolds. Mirror spaces of Calabi-Yau orientifolds with electric and part of the magnetic NS-NS fluxes are conjectured to be certain SU(3) x SU(3) structure manifolds. Evidence for this identification is provided by comparing the generalized type IIA and type IIB superpotentials.
|
hep-th/9606069
|
B. Harms
|
R. Casadio (INFN, Sezione di Bologna, Italy) B. Harms, Y. Leblanc
(University of Alabama) and P.H. Cox (Texas A&M University-Kingsville)
|
New perturbative solutions of the Kerr-Newman dilatonic black hole field
equations
|
Revtex, 27 pages
|
Phys.Rev.D55:814-825,1997
|
10.1103/PhysRevD.55.814
|
UAHEP958
|
hep-th
| null |
This work describes new perturbative solutions to the classical,
four-dimensional Kerr--Newman dilaton black hole field equations. Our solutions
do not require the black hole to be slowly rotating. The unperturbed solution
is taken to be the ordinary Kerr solution, and the perturbation parameter is
effectively the square of the charge-to-mass ratio $(Q/M)^2$ of the
Kerr--Newman black hole. We have uncovered a new, exact conjugation (mirror)
symmetry for the theory, which maps the small coupling sector to the strong
coupling sector ($\phi \to -\phi$). We also calculate the gyromagnetic ratio of
the black hole.
|
[
{
"created": "Wed, 12 Jun 1996 15:20:45 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Casadio",
"R.",
"",
"INFN, Sezione di Bologna, Italy"
],
[
"Harms",
"B.",
"",
"University of Alabama"
],
[
"Leblanc",
"Y.",
"",
"University of Alabama"
],
[
"Cox",
"P. H.",
"",
"Texas A&M University-Kingsville"
]
] |
This work describes new perturbative solutions to the classical, four-dimensional Kerr--Newman dilaton black hole field equations. Our solutions do not require the black hole to be slowly rotating. The unperturbed solution is taken to be the ordinary Kerr solution, and the perturbation parameter is effectively the square of the charge-to-mass ratio $(Q/M)^2$ of the Kerr--Newman black hole. We have uncovered a new, exact conjugation (mirror) symmetry for the theory, which maps the small coupling sector to the strong coupling sector ($\phi \to -\phi$). We also calculate the gyromagnetic ratio of the black hole.
|
1512.07627
|
K.B. Alkalaev
|
K.B. Alkalaev and V.A. Belavin
|
From global to heavy-light: 5-point conformal blocks
|
19 pages, v2: minor corrections, typos removed; v3: more comments,
extended Introduction and Conclusion, refs added, journal version
| null |
10.1007/JHEP03(2016)184
|
FIAN-TD-2015-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Virasoro conformal blocks in the large central charge limit.
There are different regimes depending on the behavior of the conformal
dimensions. The most simple regime is reduced to the global sl(2, C) conformal
blocks while the most complicated one is known as the classical conformal
blocks. Recently, Fitzpatrick, Kaplan, and Walters showed that the two regimes
are related through the intermediate stage of the so-called heavy-light
semiclassical limit. We study this idea in the particular case of the 5-point
conformal block. To find the 5-point global block we use the projector
technique and the Casimir operator approach. Furthermore, we discuss the
relation between the global and the heavy-light limits and construct the
heavy-light block from the global block. In this way we reproduce our previous
results for the 5-point perturbative classical block obtained by means of the
monodromy method.
|
[
{
"created": "Wed, 23 Dec 2015 20:55:06 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 2016 18:26:00 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Apr 2016 07:49:47 GMT",
"version": "v3"
}
] |
2016-05-04
|
[
[
"Alkalaev",
"K. B.",
""
],
[
"Belavin",
"V. A.",
""
]
] |
We consider Virasoro conformal blocks in the large central charge limit. There are different regimes depending on the behavior of the conformal dimensions. The most simple regime is reduced to the global sl(2, C) conformal blocks while the most complicated one is known as the classical conformal blocks. Recently, Fitzpatrick, Kaplan, and Walters showed that the two regimes are related through the intermediate stage of the so-called heavy-light semiclassical limit. We study this idea in the particular case of the 5-point conformal block. To find the 5-point global block we use the projector technique and the Casimir operator approach. Furthermore, we discuss the relation between the global and the heavy-light limits and construct the heavy-light block from the global block. In this way we reproduce our previous results for the 5-point perturbative classical block obtained by means of the monodromy method.
|
1601.02366
|
Dong-han Yeom
|
Dong-han Yeom
|
Information loss problem and roles of instantons
|
8 pages, 5 figures; Proceedings for the 2nd LeCosPA Symposium:
Everything about Gravity, Celebrating the Centenary of Einstein's General
Relativity. Talk on December 17, 2015, Taipei, Taiwan
| null |
10.1142/9789813203952_0079
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to understand the information loss problem, non-perturbative effects
will do significant roles. Instantons are in general helpful for this purpose.
There are various and rich thin-shell instantons and tunneling channels that
eventually result a trivial geometry without a singularity nor an event
horizon. We further discuss that there are some subtle examples in asymptotic
de Sitter cases that need further investigations.
|
[
{
"created": "Mon, 11 Jan 2016 09:10:36 GMT",
"version": "v1"
}
] |
2019-02-27
|
[
[
"Yeom",
"Dong-han",
""
]
] |
In order to understand the information loss problem, non-perturbative effects will do significant roles. Instantons are in general helpful for this purpose. There are various and rich thin-shell instantons and tunneling channels that eventually result a trivial geometry without a singularity nor an event horizon. We further discuss that there are some subtle examples in asymptotic de Sitter cases that need further investigations.
|
hep-th/0410267
|
Anton Ilderton
|
Anton Ilderton and Paul Mansfield
|
Time Evolution in String Field Theory and T-duality
|
11 Pages, 10 .eps figures; revised version includes discussion of
BRST symmetry
|
Phys.Lett. B607 (2005) 294-301
|
10.1016/j.physletb.2004.12.066
|
DCTP-04/35
|
hep-th
| null |
The time evolution operator (Schr\"odinger functional) of quantum field
theory can be expressed in terms of first quantised particles moving on the
orbifold $S^1/Z_2$. We give a graphical derivation of this that generalises to
second quantised string theory. T-duality then relates evolution through time t
with evolution through 1/t and an interchange of string fields and backgrounds.
|
[
{
"created": "Wed, 27 Oct 2004 16:03:10 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jan 2005 16:42:47 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Ilderton",
"Anton",
""
],
[
"Mansfield",
"Paul",
""
]
] |
The time evolution operator (Schr\"odinger functional) of quantum field theory can be expressed in terms of first quantised particles moving on the orbifold $S^1/Z_2$. We give a graphical derivation of this that generalises to second quantised string theory. T-duality then relates evolution through time t with evolution through 1/t and an interchange of string fields and backgrounds.
|
2202.05367
|
Gerard Hooft 't
|
Gerard t Hooft
|
Projecting local and global symmetries to the Planck scale
|
13 pages, 1 figure. Dedicated to Prof. Chen Ning Yang at the occasion
of his 100th Birthday
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The Standard Model of the elementary particles is controlled by more than 20
parameters, of which it is not known today how they can be linked to deeper
principles. Any attempt to clean up this theory, in general results in
producing more such parameters rather than less. Yet it is clear that, at
distance scales of the order of the Planck length, the gravitational force
presents itself in such a way that the need for new physical principles is
evident. A stand-in-the-way is then quantum mechanics, a theory that demands
the occurrence of superpositions of physical states in such a way that, when
combined with general relativity, space and time themselves may require new
formalisms for being used as primary frames for the descriptions of events. In
previous papers the author proposed that quantum mechanics as a theory for the
elementary particles should be rephrased as originating from a combination of
deterministic evolution laws and discreteness at the Planck scale. This may
well have a drastic effect on the symmetry structures and algebras. Local,
discrete and continuous symmetries do not emerge without a cause, and we
suggest that the symmetries can tell us more about fundamental constants, among
which the Higgs mass is the most peculiar and the most challenging one.
|
[
{
"created": "Thu, 10 Feb 2022 23:35:16 GMT",
"version": "v1"
}
] |
2022-02-14
|
[
[
"Hooft",
"Gerard t",
""
]
] |
The Standard Model of the elementary particles is controlled by more than 20 parameters, of which it is not known today how they can be linked to deeper principles. Any attempt to clean up this theory, in general results in producing more such parameters rather than less. Yet it is clear that, at distance scales of the order of the Planck length, the gravitational force presents itself in such a way that the need for new physical principles is evident. A stand-in-the-way is then quantum mechanics, a theory that demands the occurrence of superpositions of physical states in such a way that, when combined with general relativity, space and time themselves may require new formalisms for being used as primary frames for the descriptions of events. In previous papers the author proposed that quantum mechanics as a theory for the elementary particles should be rephrased as originating from a combination of deterministic evolution laws and discreteness at the Planck scale. This may well have a drastic effect on the symmetry structures and algebras. Local, discrete and continuous symmetries do not emerge without a cause, and we suggest that the symmetries can tell us more about fundamental constants, among which the Higgs mass is the most peculiar and the most challenging one.
|
1804.07521
|
Roberto Auzzi
|
Roberto Auzzi, Stefano Baiguera and Giuseppe Nardelli
|
Volume and complexity for warped AdS black holes
|
18 pages, 3 figures, V2: refs added
| null |
10.1007/JHEP06(2018)063
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Complexity=Volume conjecture for Warped AdS$_3$ black holes. We
compute the spatial volume of the Einstein-Rosen bridge and we find that its
growth rate is proportional to the Hawking temperature times the
Bekenstein-Hawking entropy. This is consistent with expectations about
computational complexity in the boundary theory.
|
[
{
"created": "Fri, 20 Apr 2018 09:52:28 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2018 10:22:22 GMT",
"version": "v2"
}
] |
2018-08-01
|
[
[
"Auzzi",
"Roberto",
""
],
[
"Baiguera",
"Stefano",
""
],
[
"Nardelli",
"Giuseppe",
""
]
] |
We study the Complexity=Volume conjecture for Warped AdS$_3$ black holes. We compute the spatial volume of the Einstein-Rosen bridge and we find that its growth rate is proportional to the Hawking temperature times the Bekenstein-Hawking entropy. This is consistent with expectations about computational complexity in the boundary theory.
|
1907.02903
|
Chris Ripken
|
Benjamin Knorr, Chris Ripken, Frank Saueressig
|
Form Factors in Asymptotic Safety: conceptual ideas and computational
toolbox
|
48 pages, 2 Mathematica notebooks
| null |
10.1088/1361-6382/ab4a53
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Over the last years the Asymptotic Safety program has matured into a serious
candidate for a quantum theory of gravity compatible with observations. The
rapid technical progress in computing renormalisation group flows for gravity
and gravity-matter systems in the non-perturbative regime has put many
interesting physical questions within reach. In particular, the construction of
the non-perturbative quantum corrections to the propagation of fields on a
fluctuating spacetime allows addressing the effective propagation of matter on
a quantum spacetime or the possible resolution of spacetime singularities based
on first principle computations. In this article, we assemble a technical
toolbox for carrying out investigations on this promising research frontier. As
a specific example we present results for the momentum-dependent two-point
function for a scalar field induced by the quantum fluctuations of the
underlying geometry in a self-consistent way.
|
[
{
"created": "Fri, 5 Jul 2019 15:50:44 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Knorr",
"Benjamin",
""
],
[
"Ripken",
"Chris",
""
],
[
"Saueressig",
"Frank",
""
]
] |
Over the last years the Asymptotic Safety program has matured into a serious candidate for a quantum theory of gravity compatible with observations. The rapid technical progress in computing renormalisation group flows for gravity and gravity-matter systems in the non-perturbative regime has put many interesting physical questions within reach. In particular, the construction of the non-perturbative quantum corrections to the propagation of fields on a fluctuating spacetime allows addressing the effective propagation of matter on a quantum spacetime or the possible resolution of spacetime singularities based on first principle computations. In this article, we assemble a technical toolbox for carrying out investigations on this promising research frontier. As a specific example we present results for the momentum-dependent two-point function for a scalar field induced by the quantum fluctuations of the underlying geometry in a self-consistent way.
|
hep-th/9909198
|
Thomas Dent
|
Thomas Dent (University of Sussex)
|
Destabilizing the gaugino condensate in modular invariant supergravity
|
12 pages, LaTeX, 3 ps figures; eq. 17 corrected, minor text changes,
results unchanged
|
Phys.Lett. B470 (1999) 121-128
|
10.1016/S0370-2693(99)01337-4
|
SUSX-TH-99-013
|
hep-th hep-ph
| null |
We investigate the stability of the hidden sector gaugino condensate in a
SL(2,Z)-invariant supergravity model inspired by the E8*E8 heterotic string,
using the chiral superfield formalism. We calculate the Planck-suppressed
corrections to the ``truncated approximation'' for the condensate value and the
scalar potential. A transition to a phase with zero condensate occurs near
special points in moduli space and at large compactification radius. We discuss
the implications for the T-modulus dependence of supersymmetry-breaking.
|
[
{
"created": "Tue, 28 Sep 1999 17:06:50 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2000 13:46:21 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Dent",
"Thomas",
"",
"University of Sussex"
]
] |
We investigate the stability of the hidden sector gaugino condensate in a SL(2,Z)-invariant supergravity model inspired by the E8*E8 heterotic string, using the chiral superfield formalism. We calculate the Planck-suppressed corrections to the ``truncated approximation'' for the condensate value and the scalar potential. A transition to a phase with zero condensate occurs near special points in moduli space and at large compactification radius. We discuss the implications for the T-modulus dependence of supersymmetry-breaking.
|
0810.2620
|
Hesam Soltanpanahi
|
F. Loran, H. Soltanpanahi
|
Near the horizon of 5D black rings
|
26 pages, version to appear in JHEP, the near horizon superalgebra is
corrected, discussion on small black ring is discarded, Brown-Henneaux
approach to large black ring is added
|
JHEP 0903:035,2009
|
10.1088/1126-6708/2009/03/035
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the five dimensional N=2 black rings, we study the supersymmetry
enhancement and identify the global supergroup of the near horizon geometry. We
show that the global part of the supergroup is OSp(4*|2)X U(1) which is similar
to the small black string. We show that results obtained by applying the
entropy function formalism, the c-extremization approach and the Brown-Henneaux
method to the black ring solution are in agreement with the microscopic entropy
calculation.
|
[
{
"created": "Wed, 15 Oct 2008 07:53:36 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Oct 2008 12:27:55 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Mar 2009 10:42:13 GMT",
"version": "v3"
}
] |
2009-03-27
|
[
[
"Loran",
"F.",
""
],
[
"Soltanpanahi",
"H.",
""
]
] |
For the five dimensional N=2 black rings, we study the supersymmetry enhancement and identify the global supergroup of the near horizon geometry. We show that the global part of the supergroup is OSp(4*|2)X U(1) which is similar to the small black string. We show that results obtained by applying the entropy function formalism, the c-extremization approach and the Brown-Henneaux method to the black ring solution are in agreement with the microscopic entropy calculation.
|
hep-th/9209005
|
Yong-Shi Wu
|
Wei Chen, Gordon W. Semenoff and Yong-Shi Wu
|
Two-Loop Analysis of Non-abelian Chern-Simons Theory
|
48 pages, UU/HEP/91/12; file format changed to standard Latex to
solve the problem with printing
|
Phys.Rev. D46 (1992) 5521-5539
|
10.1103/PhysRevD.46.5521
| null |
hep-th
| null |
Perturbative renormalization of a non-Abelian Chern-Simons gauge theory is
examined. It is demonstrated by explicit calculation that, in the pure
Chern-Simons theory, the beta-function for the coefficient of the Chern-Simons
term vanishes to three loop order. Both dimensional regularization and
regularization by introducing a conventional Yang-Mills component in the action
are used. It is shown that dimensional regularization is not gauge invariant at
two loops. A variant of this procedure, similar to regularization by
dimensional reduction used in supersymmetric field theories is shown to obey
the Slavnov-Taylor identity to two loops and gives no renormalization of the
Chern-Simons term. Regularization with Yang-Mills term yields a finite
integer-valued renormalization of the coefficient of the Chern-Simons term at
one loop, and we conjecture no renormalization at higher order. We also examine
the renormalization of Chern-Simons theory coupled to matter. We show that in
the non-abelian case the Chern-Simons gauge field as well as the matter fields
require infinite renormalization at two loops and therefore obtain nontrivial
anomalous dimensions. We show that the beta function for the gauge coupling
constant is zero to two-loop order, consistent with the topological
quantization condition for this constant.
|
[
{
"created": "Tue, 1 Sep 1992 20:04:37 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Sep 1992 23:11:26 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Chen",
"Wei",
""
],
[
"Semenoff",
"Gordon W.",
""
],
[
"Wu",
"Yong-Shi",
""
]
] |
Perturbative renormalization of a non-Abelian Chern-Simons gauge theory is examined. It is demonstrated by explicit calculation that, in the pure Chern-Simons theory, the beta-function for the coefficient of the Chern-Simons term vanishes to three loop order. Both dimensional regularization and regularization by introducing a conventional Yang-Mills component in the action are used. It is shown that dimensional regularization is not gauge invariant at two loops. A variant of this procedure, similar to regularization by dimensional reduction used in supersymmetric field theories is shown to obey the Slavnov-Taylor identity to two loops and gives no renormalization of the Chern-Simons term. Regularization with Yang-Mills term yields a finite integer-valued renormalization of the coefficient of the Chern-Simons term at one loop, and we conjecture no renormalization at higher order. We also examine the renormalization of Chern-Simons theory coupled to matter. We show that in the non-abelian case the Chern-Simons gauge field as well as the matter fields require infinite renormalization at two loops and therefore obtain nontrivial anomalous dimensions. We show that the beta function for the gauge coupling constant is zero to two-loop order, consistent with the topological quantization condition for this constant.
|
hep-th/9408046
| null |
B.Rusakov and S.Yankielowicz
|
Large N Phase Transitions and Multi-Critical Behaviour in Generalized 2D
QCD
|
CERN-TH.7390/94 and TAUP-2191-94, 6pp, LaTeX
|
Phys.Lett. B339 (1994) 258-262
|
10.1016/0370-2693(94)90641-6
| null |
hep-th
| null |
Using matrix model techniques we investigate the large N limit of generalized
2D Yang-Mills theory. The model has a very rich phase structure. It exhibits
multi-critical behavior and reveals a third order phase transitions at all
genera besides {\it torus}. This is to be contrasted with ordinary 2D
Yang-Mills which, at large N, exhibits phase transition only for spherical
topology.
|
[
{
"created": "Mon, 8 Aug 1994 15:24:28 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Rusakov",
"B.",
""
],
[
"Yankielowicz",
"S.",
""
]
] |
Using matrix model techniques we investigate the large N limit of generalized 2D Yang-Mills theory. The model has a very rich phase structure. It exhibits multi-critical behavior and reveals a third order phase transitions at all genera besides {\it torus}. This is to be contrasted with ordinary 2D Yang-Mills which, at large N, exhibits phase transition only for spherical topology.
|
2301.01397
|
Carlos A. S. Almeida
|
F. C. E. Lima, and C. A. S. Almeida
|
Topological solitons in the sigma-cuscuton model
|
18 pages, 4 captioned figures. Title changed. Version to appear in
EPJC
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Building a multi-field theory with canonical and non-canonical contributions,
one studies the topological solitons of the O(3)-sigma model. We propose a
model constituted by the O(3)-sigma field, the cuscuton-like neutral scalar
field, and Maxwell's field. We investigate BPS properties considering a theory
without interaction. One performs this study by adopting the first-order
formalism in a model with contribution non-canonical. Thus, these contributions
will preserve the spontaneous symmetry breaking of the system. Concurrently, a
non-minimal coupling between the sigma and the Maxwell field is assumed. In
this scenario, interesting results arise, i.e., one notes that the solitons
have an internal structure and ring-like profile. Furthermore, one observes
that the ring-like configurations that emerge are directly related to the
contribution of the cuscuton-like term.
|
[
{
"created": "Wed, 4 Jan 2023 01:22:32 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Sep 2023 01:57:17 GMT",
"version": "v2"
}
] |
2023-09-12
|
[
[
"Lima",
"F. C. E.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
Building a multi-field theory with canonical and non-canonical contributions, one studies the topological solitons of the O(3)-sigma model. We propose a model constituted by the O(3)-sigma field, the cuscuton-like neutral scalar field, and Maxwell's field. We investigate BPS properties considering a theory without interaction. One performs this study by adopting the first-order formalism in a model with contribution non-canonical. Thus, these contributions will preserve the spontaneous symmetry breaking of the system. Concurrently, a non-minimal coupling between the sigma and the Maxwell field is assumed. In this scenario, interesting results arise, i.e., one notes that the solitons have an internal structure and ring-like profile. Furthermore, one observes that the ring-like configurations that emerge are directly related to the contribution of the cuscuton-like term.
|
0710.3006
|
Helmuth Huffel
|
Helmuth Huffel
|
Nonlinear Phenomena in Canonical Stochastic Quantization
|
8 pages, invited talk at the International Workshop ``Critical
Phenomena and Diffusion in Complex Systems'', Dec. 5-7, 2006, Nizhni
Novgorod, Russia
|
Int.J.Bifurc.Chaos 18:2787-2791,2008
|
10.1142/S0218127408022019
|
UWThPh-2007-13
|
hep-th
| null |
Stochastic quantization provides a connection between quantum field theory
and statistical mechanics, with applications especially in gauge field
theories. Euclidean quantum field theory is viewed as the equilibrium limit of
a statistical system coupled to a thermal reservoir. Nonlinear phenomena in
stochastic quantization arise when employing nonlinear Brownian motion as an
underlying stochastic process. We discuss a novel formulation of the Higgs
mechanism in QED.
|
[
{
"created": "Tue, 16 Oct 2007 10:27:58 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Huffel",
"Helmuth",
""
]
] |
Stochastic quantization provides a connection between quantum field theory and statistical mechanics, with applications especially in gauge field theories. Euclidean quantum field theory is viewed as the equilibrium limit of a statistical system coupled to a thermal reservoir. Nonlinear phenomena in stochastic quantization arise when employing nonlinear Brownian motion as an underlying stochastic process. We discuss a novel formulation of the Higgs mechanism in QED.
|
hep-th/9406129
|
Piotr Hajac
|
Piotr M. Hajac
|
Strong Connections on Quantum Principal Bundles
|
AMS-LaTeX, 40 pages, major revision including examples of connections
over a quantum real projective space
|
Commun.Math.Phys. 182 (1996) 579-617
|
10.1007/BF02506418
| null |
hep-th math.QA
| null |
A gauge invariant notion of a strong connection is presented and
characterized. It is then used to justify the way in which a global curvature
form is defined. Strong connections are interpreted as those that are induced
from the base space of a quantum bundle. Examples of both strong and non-strong
connections are provided. In particular, such connections are constructed on a
quantum deformation of the fibration $S^2 -> RP^2$. A certain class of strong
$U_q(2)$-connections on a trivial quantum principal bundle is shown to be
equivalent to the class of connections on a free module that are compatible
with the q-dependent hermitian metric. A particular form of the Yang-Mills
action on a trivial $U\sb q(2)$-bundle is investigated. It is proved to
coincide with the Yang-Mills action constructed by A.Connes and M.Rieffel.
Furthermore, it is shown that the moduli space of critical points of this
action functional is independent of q.
|
[
{
"created": "Mon, 20 Jun 1994 09:23:07 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Sep 1998 15:30:35 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Hajac",
"Piotr M.",
""
]
] |
A gauge invariant notion of a strong connection is presented and characterized. It is then used to justify the way in which a global curvature form is defined. Strong connections are interpreted as those that are induced from the base space of a quantum bundle. Examples of both strong and non-strong connections are provided. In particular, such connections are constructed on a quantum deformation of the fibration $S^2 -> RP^2$. A certain class of strong $U_q(2)$-connections on a trivial quantum principal bundle is shown to be equivalent to the class of connections on a free module that are compatible with the q-dependent hermitian metric. A particular form of the Yang-Mills action on a trivial $U\sb q(2)$-bundle is investigated. It is proved to coincide with the Yang-Mills action constructed by A.Connes and M.Rieffel. Furthermore, it is shown that the moduli space of critical points of this action functional is independent of q.
|
1708.04461
|
Dmitry Sergeevich Kaparulin
|
D.S. Kaparulin and S.L. Lyakhovich
|
World sheets of spinning particles
|
references added, formulas in Section III.B included
|
Phys. Rev. D 96, 105014 (2017)
|
10.1103/PhysRevD.96.105014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The classical spinning particles are considered such that quantization of
classical model leads to an irreducible massive representation of the
Poincar\'e group. The class of gauge equivalent classical particle world lines
is shown to form a $[(d+1)/2]$-dimensional world sheet in $d$-dimensional
Minkowski space, irrespectively to any specifics of classical model. For
massive spinning particles in $d=3,4$, the world sheets are shown to be
cylinders. The radius of cylinder is fixed by representation. In higher
dimensions, particle's world sheet turn out to be a toroidal cylinder
$\mathbb{R}\times \mathbb{T}^D$, $D=[(d-1)/2]$. Proceeding from the fact that
the world lines of irreducible classical spinning particles are cylindrical
curves, while all the lines are gauge equivalent on the same world sheet, we
suggest a method to deduce the classical equations of motion for particles and
also to find their gauge symmetries. In $d=3$ Minkowski space, the spinning
particle path is defined by a single fourth-order differential equation having
two zero-order gauge symmetries. The equation defines particle's path in
Minkowski space, and it does not involve auxiliary variables. A special case is
also considered of cylindric null-curves, which are defined by a different
system of equations. It is shown that the cylindric null-curves also correspond
to irreducible massive spinning particles. For the higher-derivative equation
of motion of the irreducible massive spinning particle, we deduce the
equivalent second-order formulation involving an auxiliary variable. The
second-order formulation agrees with a previously known spinning particle
model.
|
[
{
"created": "Tue, 15 Aug 2017 11:24:34 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2017 10:24:42 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Nov 2017 16:42:08 GMT",
"version": "v3"
}
] |
2017-11-29
|
[
[
"Kaparulin",
"D. S.",
""
],
[
"Lyakhovich",
"S. L.",
""
]
] |
The classical spinning particles are considered such that quantization of classical model leads to an irreducible massive representation of the Poincar\'e group. The class of gauge equivalent classical particle world lines is shown to form a $[(d+1)/2]$-dimensional world sheet in $d$-dimensional Minkowski space, irrespectively to any specifics of classical model. For massive spinning particles in $d=3,4$, the world sheets are shown to be cylinders. The radius of cylinder is fixed by representation. In higher dimensions, particle's world sheet turn out to be a toroidal cylinder $\mathbb{R}\times \mathbb{T}^D$, $D=[(d-1)/2]$. Proceeding from the fact that the world lines of irreducible classical spinning particles are cylindrical curves, while all the lines are gauge equivalent on the same world sheet, we suggest a method to deduce the classical equations of motion for particles and also to find their gauge symmetries. In $d=3$ Minkowski space, the spinning particle path is defined by a single fourth-order differential equation having two zero-order gauge symmetries. The equation defines particle's path in Minkowski space, and it does not involve auxiliary variables. A special case is also considered of cylindric null-curves, which are defined by a different system of equations. It is shown that the cylindric null-curves also correspond to irreducible massive spinning particles. For the higher-derivative equation of motion of the irreducible massive spinning particle, we deduce the equivalent second-order formulation involving an auxiliary variable. The second-order formulation agrees with a previously known spinning particle model.
|
hep-th/0507041
|
Ralph Blumenhagen
|
Ralph Blumenhagen, Gabriele Honecker, Timo Weigand
|
Supersymmetric (non-)Abelian Bundles in the Type I and SO(32) Heterotic
String
|
LaTeX, 32 pages, v2: refs added
|
JHEP 0508 (2005) 009
|
10.1088/1126-6708/2005/08/009
|
MPP-2005-70
|
hep-th hep-ph
| null |
We discuss perturbative four-dimensional compactifications of both the SO(32)
heterotic and the Type I string on smooth Calabi-Yau manifolds endowed with
general non-abelian and abelian bundles. We analyse the generalized
Green-Schwarz mechanism for multiple anomalous U(1) factors and derive the
generically non-universal one-loop threshold corrections to the gauge kinetic
function as well as the one-loop corrected Fayet-Iliopoulos terms. The latter
can be interpreted as a stringy one-loop correction to the
Donaldson-Uhlenbeck-Yau condition. Applying S-duality, for the Type I string we
obtain the perturbative Pi-stability condition for non-abelian bundles on
curved spaces. Some simple examples are given, and we qualitatively discuss
some generic phenomenological aspects of this kind of string vacua. In
particular, we point out that in principle an intermediate string scale
scenario with TeV scale large extra dimensions might be possible for the
heterotic string.
|
[
{
"created": "Tue, 5 Jul 2005 17:57:13 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2005 10:00:34 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Honecker",
"Gabriele",
""
],
[
"Weigand",
"Timo",
""
]
] |
We discuss perturbative four-dimensional compactifications of both the SO(32) heterotic and the Type I string on smooth Calabi-Yau manifolds endowed with general non-abelian and abelian bundles. We analyse the generalized Green-Schwarz mechanism for multiple anomalous U(1) factors and derive the generically non-universal one-loop threshold corrections to the gauge kinetic function as well as the one-loop corrected Fayet-Iliopoulos terms. The latter can be interpreted as a stringy one-loop correction to the Donaldson-Uhlenbeck-Yau condition. Applying S-duality, for the Type I string we obtain the perturbative Pi-stability condition for non-abelian bundles on curved spaces. Some simple examples are given, and we qualitatively discuss some generic phenomenological aspects of this kind of string vacua. In particular, we point out that in principle an intermediate string scale scenario with TeV scale large extra dimensions might be possible for the heterotic string.
|
hep-th/0102146
|
Subir Mukhopadhyay
|
Subir Mukhopadhyay and Koushik Ray
|
Fractional Branes on a Non-compact Orbifold
|
Latex2e, 25 pages, typos corrected, minor modifications, version to
appear in JHEP
|
JHEP 0107:007,2001
|
10.1088/1126-6708/2001/07/007
|
USITP-01-04
|
hep-th
| null |
Fractional branes on the non-compact orbifold $\C^3/\Z_5$ are studied. First,
the boundary state description of the fractional branes are obtained. The
open-string Witten index calculated using these states reproduces the adjacency
matrix of the quiver of $\Z_5$. Then, using the toric crepant resolution of the
orbifold $\C^3/\Z_5$ and invoking the local mirror principle, B-type branes
wrapped on the holomorphic cycles of the resolution are studied. The boundary
states corresponding to the five fractional branes are identified as bound
states of BPS D-branes wrapping the 0-, 2- and 4-cycles in the exceptional
divisor of the resolution of $\C^3/\Z_5$.
|
[
{
"created": "Wed, 21 Feb 2001 16:26:48 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2001 13:04:24 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Mukhopadhyay",
"Subir",
""
],
[
"Ray",
"Koushik",
""
]
] |
Fractional branes on the non-compact orbifold $\C^3/\Z_5$ are studied. First, the boundary state description of the fractional branes are obtained. The open-string Witten index calculated using these states reproduces the adjacency matrix of the quiver of $\Z_5$. Then, using the toric crepant resolution of the orbifold $\C^3/\Z_5$ and invoking the local mirror principle, B-type branes wrapped on the holomorphic cycles of the resolution are studied. The boundary states corresponding to the five fractional branes are identified as bound states of BPS D-branes wrapping the 0-, 2- and 4-cycles in the exceptional divisor of the resolution of $\C^3/\Z_5$.
|
2008.06047
|
Rafael A. Porto
|
Gregor K\"alin, Zhengwen Liu and Rafael A. Porto
|
Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading
Post-Minkowskian Order
|
5+4 pages. 1 figure
|
Phys. Rev. D 102, 124025 (2020)
|
10.1103/PhysRevD.102.124025
|
DESY 20-131, SLAC-PUB-17555
|
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Effective Field Theory approach together with the Boundary-to-Bound
map, we compute the next-to-leading order (NLO) Post-Minkowskian (PM) tidal
effects in the conservative dynamics of compact binary systems. We derive the
mass and current quadrupole and, for the first time, octupole corrections to
the binding energy for circular orbits at ${\cal O}(G^3)$. Our results are
consistent with the test-body limit as well as the existent Post-Newtonian
literature. We also reconstruct a Hamiltonian incorporating tidal effects to
NLO in the PM expansion and find complete agreement with the recent derivation
of its quadrupolar part using the classical limit of scattering amplitudes.
|
[
{
"created": "Thu, 13 Aug 2020 17:59:16 GMT",
"version": "v1"
}
] |
2021-01-04
|
[
[
"Kälin",
"Gregor",
""
],
[
"Liu",
"Zhengwen",
""
],
[
"Porto",
"Rafael A.",
""
]
] |
Using the Effective Field Theory approach together with the Boundary-to-Bound map, we compute the next-to-leading order (NLO) Post-Minkowskian (PM) tidal effects in the conservative dynamics of compact binary systems. We derive the mass and current quadrupole and, for the first time, octupole corrections to the binding energy for circular orbits at ${\cal O}(G^3)$. Our results are consistent with the test-body limit as well as the existent Post-Newtonian literature. We also reconstruct a Hamiltonian incorporating tidal effects to NLO in the PM expansion and find complete agreement with the recent derivation of its quadrupolar part using the classical limit of scattering amplitudes.
|
1102.2403
|
Gregory Giecold
|
Iosif Bena, Gregory Giecold, Mariana Grana, Nick Halmagyi, Stefano
Massai
|
On Metastable Vacua and the Warped Deformed Conifold: Analytic Results
|
16 pages
|
Class.Quant.Grav. 30 (2013) 015003
|
10.1088/0264-9381/30/1/015003
|
IPhT-t11/019
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Continuing the programme of constructing the backreacted solution
corresponding to smeared anti-D3 branes in the warped deformed conifold, we
solve analytically the equations governing the space of first-order
deformations around this solution. We express the results in terms of at most
three nested integrals. These are the simplest expressions for the space of
$SU(2) \times SU(2) \times \ZZ_2$-invariant deformations, in which the putative
solution for smeared anti-D3 branes must live. We also explain why one cannot
claim to identify this solution without fully relating the coefficients of the
infrared and ultraviolet expansions of the deformation modes. The analytic
solution we find is the first step in this direction.
|
[
{
"created": "Fri, 11 Feb 2011 17:59:30 GMT",
"version": "v1"
}
] |
2015-02-23
|
[
[
"Bena",
"Iosif",
""
],
[
"Giecold",
"Gregory",
""
],
[
"Grana",
"Mariana",
""
],
[
"Halmagyi",
"Nick",
""
],
[
"Massai",
"Stefano",
""
]
] |
Continuing the programme of constructing the backreacted solution corresponding to smeared anti-D3 branes in the warped deformed conifold, we solve analytically the equations governing the space of first-order deformations around this solution. We express the results in terms of at most three nested integrals. These are the simplest expressions for the space of $SU(2) \times SU(2) \times \ZZ_2$-invariant deformations, in which the putative solution for smeared anti-D3 branes must live. We also explain why one cannot claim to identify this solution without fully relating the coefficients of the infrared and ultraviolet expansions of the deformation modes. The analytic solution we find is the first step in this direction.
|
1206.4959
|
Gesualdo Delfino
|
Gesualdo Delfino and Jacopo Viti
|
Phase separation and interface structure in two dimensions from field
theory
|
12 pages, 3 figures; published version, references added
|
J. Stat. Mech. (2012) P10009
|
10.1088/1742-5468/2012/10/P10009
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study phase separation in two dimensions in the scaling limit below
criticality. The general form of the magnetization profile as the volume goes
to infinity is determined exactly within the field theoretical framework which
explicitly takes into account the topological nature of the elementary
excitations. The result known for the Ising model from its lattice solution is
recovered as a particular case. In the asymptotic infrared limit the interface
behaves as a simple curve characterized by a gaussian passage probability
density. The leading deviation, due to branching, from this behavior is also
derived and its coefficient is determined for the Potts model. As a byproduct,
for random percolation we obtain the asymptotic density profile of a spanning
cluster conditioned to touch only the left half of the boundary.
|
[
{
"created": "Thu, 21 Jun 2012 18:22:47 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2012 17:35:31 GMT",
"version": "v2"
}
] |
2012-10-31
|
[
[
"Delfino",
"Gesualdo",
""
],
[
"Viti",
"Jacopo",
""
]
] |
We study phase separation in two dimensions in the scaling limit below criticality. The general form of the magnetization profile as the volume goes to infinity is determined exactly within the field theoretical framework which explicitly takes into account the topological nature of the elementary excitations. The result known for the Ising model from its lattice solution is recovered as a particular case. In the asymptotic infrared limit the interface behaves as a simple curve characterized by a gaussian passage probability density. The leading deviation, due to branching, from this behavior is also derived and its coefficient is determined for the Potts model. As a byproduct, for random percolation we obtain the asymptotic density profile of a spanning cluster conditioned to touch only the left half of the boundary.
|
hep-th/9402105
|
Branko Urosevic
|
Branko Urosevic (Brown University)
|
Off-Shell Amplitudes in Two Dimensional String Field Theory
|
Brown preprint BROWN-HET-936, 11 pages (two figures available upon
request), uses phyzzx
|
Phys.Rev.D50:4075-4078,1994
|
10.1103/PhysRevD.50.4075
| null |
hep-th
| null |
In this note we present an explicit procedure for the regularization of tree
level amplitudes involving discrete states, using open string field theory. We
show that there is a natural correspondence between the discrete states and
off--shell states, later acting as a regularized version of the former. A
general off-shell state corresponds to several physical states. In order to
obtain the well--defined $S$ matrix elements one has to choose representatives
close but not equal to the desired values of external momenta. The procedure
renders finite all $4$-point amplitudes with an even number of (naively)
divergent channels even after the regularization is removed. The rest of the
amplitudes can be defined by means of such regularization.
|
[
{
"created": "Thu, 17 Feb 1994 20:45:24 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Urosevic",
"Branko",
"",
"Brown University"
]
] |
In this note we present an explicit procedure for the regularization of tree level amplitudes involving discrete states, using open string field theory. We show that there is a natural correspondence between the discrete states and off--shell states, later acting as a regularized version of the former. A general off-shell state corresponds to several physical states. In order to obtain the well--defined $S$ matrix elements one has to choose representatives close but not equal to the desired values of external momenta. The procedure renders finite all $4$-point amplitudes with an even number of (naively) divergent channels even after the regularization is removed. The rest of the amplitudes can be defined by means of such regularization.
|
1308.4713
|
Andre Lehum
|
A. C. Lehum, A. J. da Silva
|
Supersymmetry breaking in the three-dimensional nonlinear sigma model
|
11 pages, 2 figures
|
Phys.Rev. D88 (2013) 067702
|
10.1103/PhysRevD.88.067702
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we discuss the phase structure of a deformed supersymmetric
nonlinear sigma model in a three-dimensional space-time. The deformation is
introduced by a term that breaks supersymmetry explicitly, through imposing a
slightly different constraint to the fundamental superfields of the model.
Using the tadpole method, we compute the effective potential at leading order
in 1/N expansion. From the gap equations, i.e., conditions that minimize the
effective potential, we observe that this model presents two phases as the
ordinary model, with two remarkable differences: 1) the fundamental fermionic
field becomes massive in both phases of the model, which is closely related to
the supersymmetry breaking term; 2) the O(N) symmetric phase presents a
meta-stable vacuum.
|
[
{
"created": "Wed, 21 Aug 2013 20:56:12 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Oct 2013 20:05:01 GMT",
"version": "v2"
}
] |
2013-10-24
|
[
[
"Lehum",
"A. C.",
""
],
[
"da Silva",
"A. J.",
""
]
] |
In this work we discuss the phase structure of a deformed supersymmetric nonlinear sigma model in a three-dimensional space-time. The deformation is introduced by a term that breaks supersymmetry explicitly, through imposing a slightly different constraint to the fundamental superfields of the model. Using the tadpole method, we compute the effective potential at leading order in 1/N expansion. From the gap equations, i.e., conditions that minimize the effective potential, we observe that this model presents two phases as the ordinary model, with two remarkable differences: 1) the fundamental fermionic field becomes massive in both phases of the model, which is closely related to the supersymmetry breaking term; 2) the O(N) symmetric phase presents a meta-stable vacuum.
|
2004.04424
|
Maryam Ashrafi
|
Maryam Ashrafi
|
Three Dimensional Pure Gravity and Generalized Hecke Operators
|
20 pages
|
J. High Energ. Phys. 2020, 83 (2020)
|
10.1007/JHEP09(2020)083
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study mathematical functions of relevance to pure gravity
in AdS3. Modular covariance places stringent constraints on the space of such
functions; modular invariance places even stronger constraints on how they may
be combined into physically viable candidate partition functions. We explicitly
detail the list of holomorphic and anti-holomorphic functions that serve as
candidates for chiral and anti-chiral partition functions and note that modular
covariance is only consistent with such functions when the left (resp. right)
central charge is an integer multiple of 8, $c\in 8\mathbb{N}$. We then find
related constraints on the symmetry group of the corresponding topological,
Chern-Simons, theory in the bulk of AdS. The symmetry group of the theory can
be one of two choices: either $SO(2; 1) \times SO(2; 1)$ or its three-fold
diagonal cover. We introduce the generalized Hecke operators which map the
modular covariant functions to the modular covariant functions. With these
mathematical results, we obtain conjectural partition functions for extremal
CFT2s, and the corresponding microcanonical entropies, when the chiral central
charges are multiples of eight. Finally, we compute subleading corrections to
the Beckenstein-Hawking entropy in the bulk gravitational theory with these
conjectural partition functions
|
[
{
"created": "Thu, 9 Apr 2020 08:39:57 GMT",
"version": "v1"
},
{
"created": "Sun, 3 May 2020 07:54:11 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Sep 2020 18:48:23 GMT",
"version": "v3"
}
] |
2020-09-21
|
[
[
"Ashrafi",
"Maryam",
""
]
] |
In this paper, we study mathematical functions of relevance to pure gravity in AdS3. Modular covariance places stringent constraints on the space of such functions; modular invariance places even stronger constraints on how they may be combined into physically viable candidate partition functions. We explicitly detail the list of holomorphic and anti-holomorphic functions that serve as candidates for chiral and anti-chiral partition functions and note that modular covariance is only consistent with such functions when the left (resp. right) central charge is an integer multiple of 8, $c\in 8\mathbb{N}$. We then find related constraints on the symmetry group of the corresponding topological, Chern-Simons, theory in the bulk of AdS. The symmetry group of the theory can be one of two choices: either $SO(2; 1) \times SO(2; 1)$ or its three-fold diagonal cover. We introduce the generalized Hecke operators which map the modular covariant functions to the modular covariant functions. With these mathematical results, we obtain conjectural partition functions for extremal CFT2s, and the corresponding microcanonical entropies, when the chiral central charges are multiples of eight. Finally, we compute subleading corrections to the Beckenstein-Hawking entropy in the bulk gravitational theory with these conjectural partition functions
|
2403.03464
|
Bolin Han
|
Peter Bouwknegt, Shane Chern, Bolin Han
|
q-Identities for parafermion theories
| null | null | null | null |
hep-th math-ph math.MP math.NT
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we will prove a series of $q$-identities suggested by the
realisation of certain conformal field theories by so-called `coupled free
fermions'. We will consider $q$-series arising from coupled free fermions
constructed by the parafermion coset construction as well as from scaled root
lattices, and some interesting relations between the two.
|
[
{
"created": "Wed, 6 Mar 2024 05:00:30 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 2024 04:26:56 GMT",
"version": "v2"
}
] |
2024-05-29
|
[
[
"Bouwknegt",
"Peter",
""
],
[
"Chern",
"Shane",
""
],
[
"Han",
"Bolin",
""
]
] |
In this paper we will prove a series of $q$-identities suggested by the realisation of certain conformal field theories by so-called `coupled free fermions'. We will consider $q$-series arising from coupled free fermions constructed by the parafermion coset construction as well as from scaled root lattices, and some interesting relations between the two.
|
hep-th/9711072
|
Kazuo Hosomiti
|
Kazuo Hosomichi
|
Fermion Emission from Five-Dimensional Black Holes
|
28 pages, Latex; 1 reference added
|
Nucl.Phys. B524 (1998) 312-332
|
10.1016/S0550-3213(98)00192-8
|
UT-798
|
hep-th
| null |
We calculate semiclassically the emission rate of spin 1/2 particles from
charged, nonrotating black holes in D=5,N=8 supergravity. The relevant Dirac
equation is solved by the same approximation as in the bosonic case. The
resulting expression for the emission rate has a form which is predicted from
D-brane effective field theory.
|
[
{
"created": "Tue, 11 Nov 1997 05:09:54 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Nov 1997 08:14:19 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Dec 1997 10:19:45 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Hosomichi",
"Kazuo",
""
]
] |
We calculate semiclassically the emission rate of spin 1/2 particles from charged, nonrotating black holes in D=5,N=8 supergravity. The relevant Dirac equation is solved by the same approximation as in the bosonic case. The resulting expression for the emission rate has a form which is predicted from D-brane effective field theory.
|
hep-th/9609083
|
Victor Aldaya
|
V. Aldaya, M. Calixto and M. Navarro
|
The Electromagnetic and Proca Fields Revisited: a Unified Quantization
|
16 pages, latex, no figures
|
Int.J.Mod.Phys. A12 (1997) 3609-3623
|
10.1142/S0217751X97001869
| null |
hep-th
| null |
Quantizing the electromagnetic field with a group formalism faces the
difficulty of how to turn the traditional gauge transformation of the vector
potential, $A_{\mu}(x)\rightarrow A_{\mu}(x)+\partial_{\mu}\varphi(x)$, into a
group law. In this paper it is shown that the problem can be solved by looking
at gauge transformations in a slightly different manner which, in addition,
does not require introducing any BRST-like parameter. This gauge transformation
does not appear explicitly in the group law of the symmetry but rather as the
trajectories associated with generalized equations of motion generated by
vector fields with null Noether invariants. In the new approach the parameters
of the local group, $U(1)(\vec{x},t)$, acquire dynamical content outside the
photon mass shell, a fact which also allows a unified quantization of both the
electromagnetic and Proca fields.
|
[
{
"created": "Tue, 10 Sep 1996 11:00:41 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Aldaya",
"V.",
""
],
[
"Calixto",
"M.",
""
],
[
"Navarro",
"M.",
""
]
] |
Quantizing the electromagnetic field with a group formalism faces the difficulty of how to turn the traditional gauge transformation of the vector potential, $A_{\mu}(x)\rightarrow A_{\mu}(x)+\partial_{\mu}\varphi(x)$, into a group law. In this paper it is shown that the problem can be solved by looking at gauge transformations in a slightly different manner which, in addition, does not require introducing any BRST-like parameter. This gauge transformation does not appear explicitly in the group law of the symmetry but rather as the trajectories associated with generalized equations of motion generated by vector fields with null Noether invariants. In the new approach the parameters of the local group, $U(1)(\vec{x},t)$, acquire dynamical content outside the photon mass shell, a fact which also allows a unified quantization of both the electromagnetic and Proca fields.
|
hep-th/9910163
|
Victor O. Rivelles
|
Luis A. Cabral and Victor O. Rivelles
|
Particles and Strings in Degenerate Metric Spaces
|
22 pages, revtex
|
Class.Quant.Grav. 17 (2000) 1577-1594
|
10.1088/0264-9381/17/7/301
| null |
hep-th gr-qc
| null |
We consider relativistic and non-relativistic particles and strings in spaces
(or space-times) with a degenerate metric. We show that the resulting dynamics
is described by a rich structure of constraints. All constraints are classified
and the dynamics depends strongly on the parity of the difference between the
dimension of the space (or space-time) and the rank of the degenerate metric.
For a particular class of degenerate metrics we can identify the null
eigenvectors of the metric with its Killing vectors. We also give the first
steps towards the quantization of the non-relativistic particle using the
Senjanovic path integral quantization and the Batalin-Fradkin-Tyutin conversion
method.
|
[
{
"created": "Wed, 20 Oct 1999 21:44:47 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cabral",
"Luis A.",
""
],
[
"Rivelles",
"Victor O.",
""
]
] |
We consider relativistic and non-relativistic particles and strings in spaces (or space-times) with a degenerate metric. We show that the resulting dynamics is described by a rich structure of constraints. All constraints are classified and the dynamics depends strongly on the parity of the difference between the dimension of the space (or space-time) and the rank of the degenerate metric. For a particular class of degenerate metrics we can identify the null eigenvectors of the metric with its Killing vectors. We also give the first steps towards the quantization of the non-relativistic particle using the Senjanovic path integral quantization and the Batalin-Fradkin-Tyutin conversion method.
|
1211.5912
|
Euihun Joung
|
Euihun Joung, Luca Lopez and Massimo Taronna
|
Generating functions of (partially-)massless higher-spin cubic
interactions
|
29 pages, 2 figures. References added
| null |
10.1007/JHEP01(2013)168
|
AEI-2012-196
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generating functions encoding cubic interactions of (partially-)massless
higher-spin fields are provided within the ambient-space formalism. They
satisfy a system of higher-order partial differential equations that can be
explicitly solved due to their factorized form. We find that the number of
consistent couplings increases whenever the squares of the field masses take
some integer values (in units of the cosmological constant) and satisfy certain
conditions. Moreover, it is shown that only the supplemental solutions can give
rise to non-Abelian deformations of the gauge symmetries. The presence of these
conditions on the masses is a distinctive feature of (A)dS interactions that
has in general no direct counterpart in flat space.
|
[
{
"created": "Mon, 26 Nov 2012 11:11:43 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Nov 2012 16:54:06 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Joung",
"Euihun",
""
],
[
"Lopez",
"Luca",
""
],
[
"Taronna",
"Massimo",
""
]
] |
Generating functions encoding cubic interactions of (partially-)massless higher-spin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved due to their factorized form. We find that the number of consistent couplings increases whenever the squares of the field masses take some integer values (in units of the cosmological constant) and satisfy certain conditions. Moreover, it is shown that only the supplemental solutions can give rise to non-Abelian deformations of the gauge symmetries. The presence of these conditions on the masses is a distinctive feature of (A)dS interactions that has in general no direct counterpart in flat space.
|
hep-th/9903169
|
Maxim Zyskin
|
M. Zyskin
|
Non-highest weight representations of the current algebra
$\hat{so}(1,n)$, and Laplace Operators
|
Replaced by revised version
| null | null | null |
hep-th
| null |
We constructed canonical non-highest weight unitary irreducible
representation of $\hat{so}(1,n)$ current algebra as well as canonical
non-highest weight non-unitary representations, We constructed certain
Laplacian operators as elements of the universal enveloping algebra, acting in
representation space. We speculated about a possible relation of those
Laplacians with the loop operator for the Yang-Mills.
|
[
{
"created": "Fri, 19 Mar 1999 21:14:10 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Mar 1999 23:00:20 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Apr 1999 01:06:15 GMT",
"version": "v3"
},
{
"created": "Tue, 4 Jan 2000 00:19:14 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Zyskin",
"M.",
""
]
] |
We constructed canonical non-highest weight unitary irreducible representation of $\hat{so}(1,n)$ current algebra as well as canonical non-highest weight non-unitary representations, We constructed certain Laplacian operators as elements of the universal enveloping algebra, acting in representation space. We speculated about a possible relation of those Laplacians with the loop operator for the Yang-Mills.
|
hep-th/9303115
|
Dobrev Vladimir
|
L. Dabrowski, V.K. Dobrev, R. Floreanini and V. Husain
|
Positive energy representations of the conformal quantum algebra
|
10 pages, plain-TEX, preprint IC/92/187, SISSA 137/92/FM,
UTS-DFT-22-92, (July 1992), Phys. Lett. 302B (1993) 215
|
Phys.Lett. B302 (1993) 215-222
|
10.1016/0370-2693(93)90387-W
| null |
hep-th
| null |
The positive-energy unitary irreducible representations of the $q$-deformed
conformal algebra ${\cal C}_q = {\cal U}_q(su(2,2))$ are obtained by
appropriate deformation of the classical ones. When the deformation parameter
$q$ is $N$-th root of unity, all these unitary representations become
finite-dimensional. For this case we discuss in some detail the massless
representations, which are also irreducible representations of the $q$-deformed
Poincar\'e subalgebra of ${\cal C}_q$. Generically, their dimensions are
smaller than the corresponding finite-dimensional non-unitary representation of
$su(2,2)$, except when $N=2$, $h=0$ and $N = 2 \vert h\vert +1$, where $h$ is
the helicity of the representations. The latter cases include the fundamental
representations with $h = \pm 1/2$.
|
[
{
"created": "Fri, 19 Mar 1993 17:47:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Dabrowski",
"L.",
""
],
[
"Dobrev",
"V. K.",
""
],
[
"Floreanini",
"R.",
""
],
[
"Husain",
"V.",
""
]
] |
The positive-energy unitary irreducible representations of the $q$-deformed conformal algebra ${\cal C}_q = {\cal U}_q(su(2,2))$ are obtained by appropriate deformation of the classical ones. When the deformation parameter $q$ is $N$-th root of unity, all these unitary representations become finite-dimensional. For this case we discuss in some detail the massless representations, which are also irreducible representations of the $q$-deformed Poincar\'e subalgebra of ${\cal C}_q$. Generically, their dimensions are smaller than the corresponding finite-dimensional non-unitary representation of $su(2,2)$, except when $N=2$, $h=0$ and $N = 2 \vert h\vert +1$, where $h$ is the helicity of the representations. The latter cases include the fundamental representations with $h = \pm 1/2$.
|
2406.07609
|
David Grabovsky
|
David Grabovsky, Maciej Kolanowski
|
Spin-Refined Partition Functions and $\mathcal{CRT}$ Black Holes
|
25 pages, 8 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate spin-refined partition functions in AdS/CFT using Euclidean
gravitational path integrals. We construct phase diagrams for $Z_X = \text{Tr}
\big( e^{-\beta H} X \big)$ in various dimensions and for different choices of
discrete isometry $X$, discovering rich structures at finite temperature. When
$X$ is a reflection, $Z_X$ counts the difference between the number of even-
and odd-spin microstates. The high-temperature regime is universally dominated
by $\mathcal{CRT}$-twisted black holes in any dimension, and in odd spacetime
dimensions we examine whether complex rotating black hole solutions could
contribute to spin-refined observables. We also analyze the microcanonical
ensemble. There the leading contribution almost always come from rotating black
holes, showing that the two ensembles are not equivalent.
|
[
{
"created": "Tue, 11 Jun 2024 18:00:01 GMT",
"version": "v1"
}
] |
2024-06-13
|
[
[
"Grabovsky",
"David",
""
],
[
"Kolanowski",
"Maciej",
""
]
] |
We investigate spin-refined partition functions in AdS/CFT using Euclidean gravitational path integrals. We construct phase diagrams for $Z_X = \text{Tr} \big( e^{-\beta H} X \big)$ in various dimensions and for different choices of discrete isometry $X$, discovering rich structures at finite temperature. When $X$ is a reflection, $Z_X$ counts the difference between the number of even- and odd-spin microstates. The high-temperature regime is universally dominated by $\mathcal{CRT}$-twisted black holes in any dimension, and in odd spacetime dimensions we examine whether complex rotating black hole solutions could contribute to spin-refined observables. We also analyze the microcanonical ensemble. There the leading contribution almost always come from rotating black holes, showing that the two ensembles are not equivalent.
|
hep-th/9310053
| null |
V.I.Man'ko, G.Marmo, P. Vitale and F.Zaccaria
|
A generalization of the Jordan-Schwinger map: classical version and its
q--deformation
|
LATEX,21 pages,INFN-NA-IV-93/38,DSF-T-93/38
|
Int. J. Mod. Phys. A9 (1994) 5541
|
10.1142/S0217751X94002260
| null |
hep-th
| null |
For all three--dimensional Lie algebras the construction of generators in
terms of functions on 4-dimensional real phase space is given with a
realization of the Lie product in terms of Poisson brackets. This is the
classical Jordan--Schwinger map which is also given for the deformed algebras
${\cal {SL}}_{q}(2,\R)$, ${\cal E}_{q} (2)$ and ${\cal H}_q(1)$. The ${\cal
U}_{q}(n)$ algebra is discussed in the same context.
|
[
{
"created": "Fri, 8 Oct 1993 15:19:00 GMT",
"version": "v1"
}
] |
2019-08-17
|
[
[
"Man'ko",
"V. I.",
""
],
[
"Marmo",
"G.",
""
],
[
"Vitale",
"P.",
""
],
[
"Zaccaria",
"F.",
""
]
] |
For all three--dimensional Lie algebras the construction of generators in terms of functions on 4-dimensional real phase space is given with a realization of the Lie product in terms of Poisson brackets. This is the classical Jordan--Schwinger map which is also given for the deformed algebras ${\cal {SL}}_{q}(2,\R)$, ${\cal E}_{q} (2)$ and ${\cal H}_q(1)$. The ${\cal U}_{q}(n)$ algebra is discussed in the same context.
|
1908.03577
|
Pablo Bueno
|
Pablo Bueno, Javier M. Magan and C. S. Shahbazi
|
Complexity measures in QFT and constrained geometric actions
|
57 pages, 1 figure
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the conditions under which, given a generic quantum system,
complexity metrics provide actual lower bounds to the circuit complexity
associated to a set of quantum gates. Inhomogeneous cost functions ---many
examples of which have been recently proposed in the literature--- are ruled
out by our analysis. Such measures are shown to be unrelated to circuit
complexity in general and to produce severe violations of Lloyd's bound in
simple situations. Among the metrics which do provide lower bounds, the idea is
to select those which produce the tightest possible ones. This establishes a
hierarchy of cost functions and considerably reduces the list of candidate
complexity measures. In particular, the criterion suggests a canonical way of
dealing with penalties, consisting in assigning infinite costs to directions
not belonging to the gate set. We discuss how this can be implemented through
the use of Lagrange multipliers. We argue that one of the surviving cost
functions defines a particularly canonical notion in the sense that: i) it
straightforwardly follows from the standard Hermitian metric in Hilbert space;
ii) its associated complexity functional is closely related to Kirillov's
coadjoint orbit action, providing an explicit realization of the ``complexity
equals action'' idea; iii) it arises from a Hamilton-Jacobi analysis of the
``quantum action'' describing quantum dynamics in the phase space canonically
associated to every Hilbert space. Finally, we explain how these structures
provide a natural framework for characterizing chaos in classical and quantum
systems on an equal footing, find the minimal geodesic connecting two nearby
trajectories, and describe how complexity measures are sensitive to Lyapunov
exponents.
|
[
{
"created": "Fri, 9 Aug 2019 18:00:02 GMT",
"version": "v1"
}
] |
2019-08-13
|
[
[
"Bueno",
"Pablo",
""
],
[
"Magan",
"Javier M.",
""
],
[
"Shahbazi",
"C. S.",
""
]
] |
We study the conditions under which, given a generic quantum system, complexity metrics provide actual lower bounds to the circuit complexity associated to a set of quantum gates. Inhomogeneous cost functions ---many examples of which have been recently proposed in the literature--- are ruled out by our analysis. Such measures are shown to be unrelated to circuit complexity in general and to produce severe violations of Lloyd's bound in simple situations. Among the metrics which do provide lower bounds, the idea is to select those which produce the tightest possible ones. This establishes a hierarchy of cost functions and considerably reduces the list of candidate complexity measures. In particular, the criterion suggests a canonical way of dealing with penalties, consisting in assigning infinite costs to directions not belonging to the gate set. We discuss how this can be implemented through the use of Lagrange multipliers. We argue that one of the surviving cost functions defines a particularly canonical notion in the sense that: i) it straightforwardly follows from the standard Hermitian metric in Hilbert space; ii) its associated complexity functional is closely related to Kirillov's coadjoint orbit action, providing an explicit realization of the ``complexity equals action'' idea; iii) it arises from a Hamilton-Jacobi analysis of the ``quantum action'' describing quantum dynamics in the phase space canonically associated to every Hilbert space. Finally, we explain how these structures provide a natural framework for characterizing chaos in classical and quantum systems on an equal footing, find the minimal geodesic connecting two nearby trajectories, and describe how complexity measures are sensitive to Lyapunov exponents.
|
hep-th/0604104
|
So Matsuura
|
Tsuguhiko Asakawa, So Matsuura and Kazutoshi Ohta
|
Construction of Instantons via Tachyon Condensation
|
43 pages, 2 figures, latex2e, Introduction refined, typos corrected
| null | null |
RIKEN-TH-69
|
hep-th
| null |
We investigate the D-brane bound states from the viewpoint of the unstable
D/\bar{D}-system and their tachyon condensation. We consider two systems; a
system of k D(-1)-branes and N D3-branes with open strings connecting them and
a system of N D3-branes with open strings corresponding to the k-instanton
flux, both of which are realized through the tachyon condensation from (N+2k)
D3-branes and 2k \bar{D3}-branes with appropriate tachyon profiles. It can be
shown that these systems are related with each other through a unitary gauge
transformation of the D3/\bar{D3}-system. We construct an explicit form of the
gauge transformation and show that the essential elements of the ADHM
construction naturally arise from the explicit form of the gauge
transformation. As a result, the ADHM construction is understood as an outcome
of this gauge equivalence in different low energy limits. The small instanton
singularities can be also understood in this context. Other kinds of solitons
with different codimensions are also discussed from the view point of the
tachyon condensation.
|
[
{
"created": "Fri, 14 Apr 2006 11:33:48 GMT",
"version": "v1"
},
{
"created": "Thu, 25 May 2006 07:43:34 GMT",
"version": "v2"
},
{
"created": "Tue, 30 May 2006 09:16:28 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Asakawa",
"Tsuguhiko",
""
],
[
"Matsuura",
"So",
""
],
[
"Ohta",
"Kazutoshi",
""
]
] |
We investigate the D-brane bound states from the viewpoint of the unstable D/\bar{D}-system and their tachyon condensation. We consider two systems; a system of k D(-1)-branes and N D3-branes with open strings connecting them and a system of N D3-branes with open strings corresponding to the k-instanton flux, both of which are realized through the tachyon condensation from (N+2k) D3-branes and 2k \bar{D3}-branes with appropriate tachyon profiles. It can be shown that these systems are related with each other through a unitary gauge transformation of the D3/\bar{D3}-system. We construct an explicit form of the gauge transformation and show that the essential elements of the ADHM construction naturally arise from the explicit form of the gauge transformation. As a result, the ADHM construction is understood as an outcome of this gauge equivalence in different low energy limits. The small instanton singularities can be also understood in this context. Other kinds of solitons with different codimensions are also discussed from the view point of the tachyon condensation.
|
2106.14902
|
Matthias Wilhelm
|
Alexander Kristensson and Matthias Wilhelm and Chi Zhang
|
The elliptic double box and symbology beyond polylogarithms
|
5 pages + references and supplementary material, 2 figures, 4
ancillary files; v2: references added, identities now proven
|
Phys.Rev.Lett. 127 (2021) 25, 251603
|
10.1103/PhysRevLett.127.251603
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the elliptic double-box integral, which contributes to generic
massless QFTs and is the only contribution to a particular 10-point scattering
amplitude in N=4 SYM theory. Based on a Feynman parametrization, we express
this integral in terms of elliptic polylogarithms. We then study its symbol,
finding a rich structure and remarkable similarity with the non-elliptic case.
In particular, the first entry of the symbol is expressible in terms of
logarithms of dual-conformal cross-ratios, and elliptic letters only occur in
the last two entries. Moreover, the symbol makes manifest a differential
equation relating the double-box integral to a 6D hexagon integral, suggesting
that it can be bootstrapped based on the latter integral alone.
|
[
{
"created": "Mon, 28 Jun 2021 18:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2022 13:44:16 GMT",
"version": "v2"
}
] |
2022-01-07
|
[
[
"Kristensson",
"Alexander",
""
],
[
"Wilhelm",
"Matthias",
""
],
[
"Zhang",
"Chi",
""
]
] |
We study the elliptic double-box integral, which contributes to generic massless QFTs and is the only contribution to a particular 10-point scattering amplitude in N=4 SYM theory. Based on a Feynman parametrization, we express this integral in terms of elliptic polylogarithms. We then study its symbol, finding a rich structure and remarkable similarity with the non-elliptic case. In particular, the first entry of the symbol is expressible in terms of logarithms of dual-conformal cross-ratios, and elliptic letters only occur in the last two entries. Moreover, the symbol makes manifest a differential equation relating the double-box integral to a 6D hexagon integral, suggesting that it can be bootstrapped based on the latter integral alone.
|
hep-th/0404139
|
Belkis Cabrera Palmer
|
Donald Marolf, Belkis Cabrera Palmer
|
Gyrating Strings: A new instability of black strings?
|
6 pages, revtex4, zero of Hessian noted, references added
|
Phys.Rev. D70 (2004) 084045
|
10.1103/PhysRevD.70.084045
| null |
hep-th gr-qc
| null |
A thermodynamic argument is presented suggesting that near-extremal spinning
D1-D5-P black strings become unstable when their angular momentum exceeds
$J_{crit} = {3Q_1Q_5}/2\sqrt{2}$. In contrast, the dimensionally reduced black
holes are thermodynamically stable. The proposed instability involves a phase
in which the spin angular momentum above $J_{crit}$ is transferred to gyration
of the string in space; i.e., to orbital angular momentum of parts of the
string about the mean location in space. Thus the string becomes a rotating
helical coil. We note that an instability of this form would yield a
counter-example to the Gubser-Mitra conjecture, which proposes a particular
link between dynamic black string instabilities and the thermodynamics of black
strings. There may also be other instabilities associated with radiation modes
of various fields. Our arguments also apply to the D-brane bound states
associated with these black strings in weakly coupled string theory.
|
[
{
"created": "Tue, 20 Apr 2004 18:49:51 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Apr 2004 00:29:37 GMT",
"version": "v2"
},
{
"created": "Thu, 13 May 2004 22:25:55 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Marolf",
"Donald",
""
],
[
"Palmer",
"Belkis Cabrera",
""
]
] |
A thermodynamic argument is presented suggesting that near-extremal spinning D1-D5-P black strings become unstable when their angular momentum exceeds $J_{crit} = {3Q_1Q_5}/2\sqrt{2}$. In contrast, the dimensionally reduced black holes are thermodynamically stable. The proposed instability involves a phase in which the spin angular momentum above $J_{crit}$ is transferred to gyration of the string in space; i.e., to orbital angular momentum of parts of the string about the mean location in space. Thus the string becomes a rotating helical coil. We note that an instability of this form would yield a counter-example to the Gubser-Mitra conjecture, which proposes a particular link between dynamic black string instabilities and the thermodynamics of black strings. There may also be other instabilities associated with radiation modes of various fields. Our arguments also apply to the D-brane bound states associated with these black strings in weakly coupled string theory.
|
1308.2866
|
Marc Henneaux
|
Claudio Bunster and Marc Henneaux
|
Sources for Generalized Gauge Fields
|
References added
| null |
10.1103/PhysRevD.88.085002
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generalized gauge fields are tensor fields with mixed symmetries. For gravity
and higher spins in dimensions greater than four, the fundamental field in the
"magnetic representation" is a generalized gauge field. It is shown that the
analog of a point source for a generalized gauge field is a special type of
brane whose worldsheet has another brane interwoven into it: a current within a
current. In the case of gravity in higher dimensions, this combined extended
object is the generalization of a magnetic pole. The Dirac quantization
condition for the "electric" and "magnetic" strengths holds.
|
[
{
"created": "Tue, 13 Aug 2013 13:48:38 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2013 15:52:12 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Bunster",
"Claudio",
""
],
[
"Henneaux",
"Marc",
""
]
] |
Generalized gauge fields are tensor fields with mixed symmetries. For gravity and higher spins in dimensions greater than four, the fundamental field in the "magnetic representation" is a generalized gauge field. It is shown that the analog of a point source for a generalized gauge field is a special type of brane whose worldsheet has another brane interwoven into it: a current within a current. In the case of gravity in higher dimensions, this combined extended object is the generalization of a magnetic pole. The Dirac quantization condition for the "electric" and "magnetic" strengths holds.
|
1903.09271
|
Gaston Giribet
|
Laura Donnay, Gaston Giribet
|
Cosmological horizons, Noether charges and entropy
|
20 pages, 1 figure
| null |
10.1088/1361-6382/ab2e42
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been shown that, in the vicinity of their event horizons,
black holes exhibit an infinite-dimensional symmetry. This symmetry captures
relevant physical information about the black hole, and in particular about its
thermodynamics. Here, we show that the same holds in a cosmological setup. More
precisely, we show that around the de Sitter cosmological horizon, an infinite
set of diffeomorphisms preserving a sensible set of boundary conditions
emerges. These boundary conditions are similar to those considered by Price and
Thorne in the context of the membrane paradigm, and permit to accommodate
interesting gravity solutions. As for other boundary conditions considered
previously, they are preserved by an infinite-dimensional asymptotic isometry
algebra that includes supertranslations and two copies of the Virasoro algebra.
This symmetry has associated a set of Noether charges that turn out to be
conserved, finite, and integrable. We derive these charges explicitly using the
covariant formalism and analyze their physical meaning by evaluating them to
the case of de Sitter space. In this case, the zero-mode of the charge is found
to account for the Gibbons-Hawking entropy of the cosmological horizon. We then
consider a much more general set of solutions, including asymptotically
de-Sitter black holes and asymptotically Taub-NUT-de Sitter black holes.
|
[
{
"created": "Thu, 21 Mar 2019 23:50:25 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Donnay",
"Laura",
""
],
[
"Giribet",
"Gaston",
""
]
] |
It has recently been shown that, in the vicinity of their event horizons, black holes exhibit an infinite-dimensional symmetry. This symmetry captures relevant physical information about the black hole, and in particular about its thermodynamics. Here, we show that the same holds in a cosmological setup. More precisely, we show that around the de Sitter cosmological horizon, an infinite set of diffeomorphisms preserving a sensible set of boundary conditions emerges. These boundary conditions are similar to those considered by Price and Thorne in the context of the membrane paradigm, and permit to accommodate interesting gravity solutions. As for other boundary conditions considered previously, they are preserved by an infinite-dimensional asymptotic isometry algebra that includes supertranslations and two copies of the Virasoro algebra. This symmetry has associated a set of Noether charges that turn out to be conserved, finite, and integrable. We derive these charges explicitly using the covariant formalism and analyze their physical meaning by evaluating them to the case of de Sitter space. In this case, the zero-mode of the charge is found to account for the Gibbons-Hawking entropy of the cosmological horizon. We then consider a much more general set of solutions, including asymptotically de-Sitter black holes and asymptotically Taub-NUT-de Sitter black holes.
|
1012.2759
|
Paul McGuirk
|
Fernando Marchesano, Paul McGuirk, Gary Shiu
|
Chiral matter wavefunctions in warped compactifications
|
64 pages, 1 figure. References updated, typos fixed, discussion on
varying dilaton case slightly modified. Version to appear in JHEP
|
JHEP 1105:090 (2011)
|
10.1007/JHEP05(2011)090
|
IFT-UAM/CSIC-10-89, MAD-TH-10-05
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the wavefunctions for open strings stretching between intersecting
7-branes in type IIB/F-theory warped compactifications, as a first step in
understanding the warped effective field theory of 4d chiral fermions. While in
general the equations of motion do not seem to admit a simple analytic
solution, we provide a method for solving the wavefunctions in the case of weak
warping. The method describes warped zero modes as a perturbative expansion in
the unwarped spectrum, the coefficients of the expansion depending on the
warping. We perform our analysis with and without the presence of worldvolume
fluxes, illustrating the procedure with some examples. Finally, we comment on
the warped effective field theory for the modes at the intersection.
|
[
{
"created": "Mon, 13 Dec 2010 15:26:52 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2011 22:06:21 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"Marchesano",
"Fernando",
""
],
[
"McGuirk",
"Paul",
""
],
[
"Shiu",
"Gary",
""
]
] |
We analyze the wavefunctions for open strings stretching between intersecting 7-branes in type IIB/F-theory warped compactifications, as a first step in understanding the warped effective field theory of 4d chiral fermions. While in general the equations of motion do not seem to admit a simple analytic solution, we provide a method for solving the wavefunctions in the case of weak warping. The method describes warped zero modes as a perturbative expansion in the unwarped spectrum, the coefficients of the expansion depending on the warping. We perform our analysis with and without the presence of worldvolume fluxes, illustrating the procedure with some examples. Finally, we comment on the warped effective field theory for the modes at the intersection.
|
hep-th/0309115
|
Rui Neves
|
Rui Neves and Cenalo Vaz
|
Conformal Bulk Fields, Dark Energy and Brane Dynamics
|
12 pages, latex, 2 figures. Talk given by Rui Neves at the Fourth
International Conference on Physics Beyond the Standard Model, Beyond the
Desert 03, Fundamental Experimental and Theoretical Developments in Particle
Physics, Accelerator, Non-Accelerator and Space Approaches, Max Planck
Institut f. Kernphysik/MPI Heidelberg, Castle Ringberg, Tegernsee, Germany,
9-14 June 2003. To be published in the Conference Proceedings,
Springer-Verlag, Heidelberg, Germany
| null | null | null |
hep-th
| null |
In the Randall-Sundrum scenario we analyze the dynamics of a spherically
symmetric 3-brane when the bulk is filled with matter fields. Considering a
global conformal transformation whose factor is the $Z_2$ symmetric warp we
find a new set of exact dynamical solutions for which gravity is bound to the
brane. The set corresponds to a certain class of conformal bulk fields. We
discuss the geometries which describe the dynamics on the brane of polytropic
dark energy.
|
[
{
"created": "Thu, 11 Sep 2003 09:56:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Neves",
"Rui",
""
],
[
"Vaz",
"Cenalo",
""
]
] |
In the Randall-Sundrum scenario we analyze the dynamics of a spherically symmetric 3-brane when the bulk is filled with matter fields. Considering a global conformal transformation whose factor is the $Z_2$ symmetric warp we find a new set of exact dynamical solutions for which gravity is bound to the brane. The set corresponds to a certain class of conformal bulk fields. We discuss the geometries which describe the dynamics on the brane of polytropic dark energy.
|
hep-th/9309132
|
Antonio Gabriel Oliveira Moreira
|
C. Aragone, P. J. Arias and A. Khoudeir
|
Light-Front Dynamics Of Massive Vector Chern-Simons Gravity
|
Pages 7
| null | null |
SB\F-213
|
hep-th
| null |
We present a second order gravity action which consists of ordinary Einstein
action augmented by a first-order, vector like, Chern-Simons quasi topological
term. This theory is ghost-free and propagates a pure spin-2 mode. It is
diffeomorphism invariant, although its local Lorentz invariance has been
spontaneuosly broken. We perform the light-front (LF) analysis for both the
linearized system and the exact curved model. In constrast to the 2+1 canonical
analysis, in the quasi LF coordinates the differential constraints can be
solved. Its solution is presented here.
|
[
{
"created": "Fri, 24 Sep 1993 16:04:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Aragone",
"C.",
""
],
[
"Arias",
"P. J.",
""
],
[
"Khoudeir",
"A.",
""
]
] |
We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneuosly broken. We perform the light-front (LF) analysis for both the linearized system and the exact curved model. In constrast to the 2+1 canonical analysis, in the quasi LF coordinates the differential constraints can be solved. Its solution is presented here.
|
hep-th/0204095
|
Saharian
|
Anna S. Kotanjyan, Aram A. Saharian (Institute of Applied Problems in
Physics, Yerevan, Armenia)
|
Radiation from a charge circulating inside a waveguide with dielectric
filling
|
10 pages, Latex, four EPS figures
|
Mod.Phys.Lett. A17 (2002) 1323-1333
|
10.1142/S0217732302007272
| null |
hep-th cond-mat
| null |
The emitted power of the radiation from a charged particle moving uniformly
on a circle inside a cylindrical waveguide is considered. The expressions for
the energy flux of the radiation passing through the waveguide cross-section
are derived for both TE and TM waves. The results of the numerical evaluation
are presented for the number of emitted quanta depending on the waveguide
radius, the radius of the charge rotation orbit and dielectric permittivity of
the filling medium. These results are compared with the corresponding
quantities for the synchrotron radiation in a homogeneous medium.
|
[
{
"created": "Thu, 11 Apr 2002 12:57:30 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Kotanjyan",
"Anna S.",
"",
"Institute of Applied Problems in\n Physics, Yerevan, Armenia"
],
[
"Saharian",
"Aram A.",
"",
"Institute of Applied Problems in\n Physics, Yerevan, Armenia"
]
] |
The emitted power of the radiation from a charged particle moving uniformly on a circle inside a cylindrical waveguide is considered. The expressions for the energy flux of the radiation passing through the waveguide cross-section are derived for both TE and TM waves. The results of the numerical evaluation are presented for the number of emitted quanta depending on the waveguide radius, the radius of the charge rotation orbit and dielectric permittivity of the filling medium. These results are compared with the corresponding quantities for the synchrotron radiation in a homogeneous medium.
|
1104.5438
|
Nils Carqueville
|
Nils Carqueville, Michael M. Kay
|
Bulk deformations of open topological string theory
|
40 pages; v2+v3: minor changes; v4: minor improvements in exposition,
version to appear in CMP
|
Comm. Math. Phys. 315, Number 3 (2012), 739-769
|
10.1007/s00220-012-1513-0
| null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a general method to construct bulk-deformed open topological
string theories from Landau-Ginzburg models. To this end we obtain a weak
version of deformation quantisation, and we show how this together with the
technique of homological perturbation allows to explicitly compute all
bulk-deformed open topological string amplitudes at tree-level before
tadpole-cancellation. Our approach is based on a coherent treatment of the
problem in terms of the fundamental A-infinity- and L-infinity-structures
involved.
|
[
{
"created": "Thu, 28 Apr 2011 16:27:06 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Sep 2011 12:27:11 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Sep 2011 17:59:11 GMT",
"version": "v3"
},
{
"created": "Fri, 20 Jan 2012 08:55:15 GMT",
"version": "v4"
}
] |
2012-10-25
|
[
[
"Carqueville",
"Nils",
""
],
[
"Kay",
"Michael M.",
""
]
] |
We present a general method to construct bulk-deformed open topological string theories from Landau-Ginzburg models. To this end we obtain a weak version of deformation quantisation, and we show how this together with the technique of homological perturbation allows to explicitly compute all bulk-deformed open topological string amplitudes at tree-level before tadpole-cancellation. Our approach is based on a coherent treatment of the problem in terms of the fundamental A-infinity- and L-infinity-structures involved.
|
1007.4847
|
Moataz Emam
|
Moataz H. Emam
|
The many symmetries of Calabi-Yau compactifications
|
47 pages
|
Class.Quant.Grav.27:163001,2010
|
10.1088/0264-9381/27/16/163001
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the major mathematical concepts involved in the dimensional
reduction of D=11 N=1 supergravity theory over a Calabi-Yau manifold with
non-trivial complex structure moduli resulting in ungauged D=5 N=2 supergravity
theory with hypermultiplets. This last has a particularly rich structure with
many underlying geometries. We reproduce the entire calculation and
particularly emphasize its symplectic symmetry and how that arises from the
topology of the underlying subspace. The review is intended to fill in a
specific gap in the literature with the hope that it would be useful to both
the beginner and the expert alike.
|
[
{
"created": "Tue, 27 Jul 2010 23:33:12 GMT",
"version": "v1"
}
] |
2014-11-21
|
[
[
"Emam",
"Moataz H.",
""
]
] |
We review the major mathematical concepts involved in the dimensional reduction of D=11 N=1 supergravity theory over a Calabi-Yau manifold with non-trivial complex structure moduli resulting in ungauged D=5 N=2 supergravity theory with hypermultiplets. This last has a particularly rich structure with many underlying geometries. We reproduce the entire calculation and particularly emphasize its symplectic symmetry and how that arises from the topology of the underlying subspace. The review is intended to fill in a specific gap in the literature with the hope that it would be useful to both the beginner and the expert alike.
|
hep-th/9509098
|
Stam Nicolis
|
G. G. Athanasiu, E. G. Floratos and S. Nicolis
|
Holomorphic Quantization on the Torus and Finite Quantum Mechanics
|
12 pages LaTeX (needs amssymb.sty). Version as will appear in J.
Phys. A
|
J.Phys.A29:6737,1996
|
10.1088/0305-4470/29/21/010
|
LPTENS 95/43; LMPM 95/12
|
hep-th math.QA q-alg
| null |
We construct explicitly the quantization of classical linear maps of $SL(2,
R)$ on toroidal phase space, of arbitrary modulus, using the holomorphic
(chiral) version of the metaplectic representation. We show that Finite Quantum
Mechanics (FQM) on tori of arbitrary integer discretization, is a consistent
restriction of the holomorphic quantization of $SL(2, Z)$ to the subgroup
$SL(2, Z)/\Gamma_l$, $\Gamma_l$ being the principal congruent subgroup mod l,
on a finite dimensional Hilbert space. The generators of the ``rotation group''
mod l, $O_{l}(2)\subset SL(2,l)$, for arbitrary values of l are determined as
well as their quantum mechanical eigenvalues and eigenstates.
|
[
{
"created": "Mon, 18 Sep 1995 15:17:49 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Nov 1996 20:48:12 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Athanasiu",
"G. G.",
""
],
[
"Floratos",
"E. G.",
""
],
[
"Nicolis",
"S.",
""
]
] |
We construct explicitly the quantization of classical linear maps of $SL(2, R)$ on toroidal phase space, of arbitrary modulus, using the holomorphic (chiral) version of the metaplectic representation. We show that Finite Quantum Mechanics (FQM) on tori of arbitrary integer discretization, is a consistent restriction of the holomorphic quantization of $SL(2, Z)$ to the subgroup $SL(2, Z)/\Gamma_l$, $\Gamma_l$ being the principal congruent subgroup mod l, on a finite dimensional Hilbert space. The generators of the ``rotation group'' mod l, $O_{l}(2)\subset SL(2,l)$, for arbitrary values of l are determined as well as their quantum mechanical eigenvalues and eigenstates.
|
2309.04231
|
Seiji Terashima
|
Sotaro Sugishita and Seiji Terashima
|
Subregion Complementarity in AdS/CFT
|
34 pages, 1 figure, v2: includes corrections to discussion on
subregion complementarity, minor corrections
| null | null |
YITP-23-110
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the bulk reconstruction in the AdS/CFT correspondence. We
demonstrate that the subregion duality fails to hold, highlighting
discrepancies between operators in causal wedge reconstruction and those in
global reconstruction at the leading order in the large $N$ limit. We argue the
invalidity of the entanglement wedge reconstruction, attributing it to
non-perturbative finite $N$ effects or quantum gravity effects due to the
trans-Planckian modes near the horizon. Nevertheless, we propose the subregion
complementarity, illustrating that different CFT operators can describe a bulk
subregion. While we expect that this complementarity is valid outside the
horizon in general eternal black holes, it is inapplicable for single-sided
black holes where a semi-classical description at the stretched horizon is
absent.
|
[
{
"created": "Fri, 8 Sep 2023 09:36:30 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2024 15:44:05 GMT",
"version": "v2"
}
] |
2024-04-02
|
[
[
"Sugishita",
"Sotaro",
""
],
[
"Terashima",
"Seiji",
""
]
] |
We examine the bulk reconstruction in the AdS/CFT correspondence. We demonstrate that the subregion duality fails to hold, highlighting discrepancies between operators in causal wedge reconstruction and those in global reconstruction at the leading order in the large $N$ limit. We argue the invalidity of the entanglement wedge reconstruction, attributing it to non-perturbative finite $N$ effects or quantum gravity effects due to the trans-Planckian modes near the horizon. Nevertheless, we propose the subregion complementarity, illustrating that different CFT operators can describe a bulk subregion. While we expect that this complementarity is valid outside the horizon in general eternal black holes, it is inapplicable for single-sided black holes where a semi-classical description at the stretched horizon is absent.
|
1405.3110
|
Damiano Anselmi
|
Damiano Anselmi
|
Weighted power counting and chiral dimensional regularization
|
41 pages; v2: minor changes, PRD version
|
Phys. Rev. D 89, 125024 (2014)
|
10.1103/PhysRevD.89.125024
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a modified dimensional-regularization technique that overcomes
several difficulties of the ordinary technique, and is specially designed to
work efficiently in chiral and parity violating quantum field theories, in
arbitrary dimensions greater than 2. When the dimension of spacetime is
continued to complex values, spinors, vectors and tensors keep the components
they have in the physical dimension, therefore the $\gamma $ matrices are the
standard ones. Propagators are regularized with the help of evanescent
higher-derivative kinetic terms, which are of the Majorana type in the case of
chiral fermions. If the new terms are organized in a clever way, weighted power
counting provides an efficient control on the renormalization of the theory,
and allows us to show that the resulting chiral dimensional regularization is
consistent to all orders. The new technique considerably simplifies the proofs
of properties that hold to all orders, and makes them suitable to be
generalized to wider classes of models. Typical examples are the
renormalizability of chiral gauge theories and the Adler-Bardeen theorem. The
difficulty of explicit computations, on the other hand, may increase.
|
[
{
"created": "Tue, 13 May 2014 11:32:23 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2014 14:14:33 GMT",
"version": "v2"
}
] |
2014-07-02
|
[
[
"Anselmi",
"Damiano",
""
]
] |
We define a modified dimensional-regularization technique that overcomes several difficulties of the ordinary technique, and is specially designed to work efficiently in chiral and parity violating quantum field theories, in arbitrary dimensions greater than 2. When the dimension of spacetime is continued to complex values, spinors, vectors and tensors keep the components they have in the physical dimension, therefore the $\gamma $ matrices are the standard ones. Propagators are regularized with the help of evanescent higher-derivative kinetic terms, which are of the Majorana type in the case of chiral fermions. If the new terms are organized in a clever way, weighted power counting provides an efficient control on the renormalization of the theory, and allows us to show that the resulting chiral dimensional regularization is consistent to all orders. The new technique considerably simplifies the proofs of properties that hold to all orders, and makes them suitable to be generalized to wider classes of models. Typical examples are the renormalizability of chiral gauge theories and the Adler-Bardeen theorem. The difficulty of explicit computations, on the other hand, may increase.
|
2310.04193
|
Eleanor Harris
|
Eleanor Harris
|
Quantum Features of the Cosmological Horizon
|
PhD thesis, King's College London. 159 pages, 18 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis explores the thermodynamics of the cosmological horizon, aiming
to make progress towards a better understanding of the microscopic nature of
its entropy. We utilise the constrained nature of low-dimensional gravity to do
so and investigate timelike boundaries in these theories, with an emphasis on
the stretched horizon holographic picture. Given the success of AdS/CFT, one
might try to embed de Sitter inside anti-de Sitter and describe the expanding
region from the boundary. In two dimensions, such geometries exist and, by
studying them in the presence of a timelike boundary, we find thermally stable
solutions. We thus propose a dual matrix model that should describe this
geometry, including the expanding region. One way to test this duality would be
to compare bulk and boundary correlators. However, for de Sitter this poses a
puzzle: in the saddle point approximation two-point functions are given by a
sum over geodesics. Such correlation functions exist for any two arbitrary
points in de Sitter, but geodesics do not. This is resolved by including
complex saddles that appear upon Wick rotating from the sphere. Additionally,
one can use the relationship between three-dimensional gravity and Chern-Simons
theory to explore thermodynamic contributions to the de Sitter horizon. The
Euclidean gravitational path integral provides the exact, all-loop quantum
corrected de Sitter entropy. To understand the microscopic origin of this
entropy, one hopes to find an analogous Lorentzian calculation that produces
this result. This takes the form of an edge-mode theory living close to the
cosmological horizon with a complexified gauge group, leading to an unbounded
spectrum. To make progress, we study a comparable Abelian theory that leads to
an entropy with an entanglement character. Finally, we summarise some new
results on edge-mode theories arising from general boundary conditions.
|
[
{
"created": "Fri, 6 Oct 2023 12:17:16 GMT",
"version": "v1"
}
] |
2023-10-09
|
[
[
"Harris",
"Eleanor",
""
]
] |
This thesis explores the thermodynamics of the cosmological horizon, aiming to make progress towards a better understanding of the microscopic nature of its entropy. We utilise the constrained nature of low-dimensional gravity to do so and investigate timelike boundaries in these theories, with an emphasis on the stretched horizon holographic picture. Given the success of AdS/CFT, one might try to embed de Sitter inside anti-de Sitter and describe the expanding region from the boundary. In two dimensions, such geometries exist and, by studying them in the presence of a timelike boundary, we find thermally stable solutions. We thus propose a dual matrix model that should describe this geometry, including the expanding region. One way to test this duality would be to compare bulk and boundary correlators. However, for de Sitter this poses a puzzle: in the saddle point approximation two-point functions are given by a sum over geodesics. Such correlation functions exist for any two arbitrary points in de Sitter, but geodesics do not. This is resolved by including complex saddles that appear upon Wick rotating from the sphere. Additionally, one can use the relationship between three-dimensional gravity and Chern-Simons theory to explore thermodynamic contributions to the de Sitter horizon. The Euclidean gravitational path integral provides the exact, all-loop quantum corrected de Sitter entropy. To understand the microscopic origin of this entropy, one hopes to find an analogous Lorentzian calculation that produces this result. This takes the form of an edge-mode theory living close to the cosmological horizon with a complexified gauge group, leading to an unbounded spectrum. To make progress, we study a comparable Abelian theory that leads to an entropy with an entanglement character. Finally, we summarise some new results on edge-mode theories arising from general boundary conditions.
|
hep-th/9907116
|
Saurya Das
|
Saurya Das, Arundhati Dasgupta
|
Black Hole Emission Rates and the AdS/CFT Correspondence
|
37 pages, minor modifications; to be published in JHEP
|
JHEP 9910:025,1999
|
10.1088/1126-6708/1999/10/025
|
CGPG-99/7/1; IMSc-99/03/07
|
hep-th gr-qc
| null |
We study the emission rates of scalar, spinor and vector particles from a 5
dimensional black hole for arbitrary partial waves. The solution is lifted to 6
dimensions, and the near horizon $ BTZ \times S^3$ geometry of the black hole
solution is probed to determine the greybody factors. We show that the exact
decay rates can be reproduced from a $(1+1)$-dimensional conformal field theory
which lies on the boundary of the near horizon geometry. The AdS/CFT
correspondence is used to determine the dimension of the CFT operators
corresponding to the bulk fields. These operators couple to plane waves
incident on the CFT from infinity to produce emission in the bulk.
|
[
{
"created": "Wed, 14 Jul 1999 22:56:50 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 1999 23:44:15 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Oct 1999 17:13:30 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Das",
"Saurya",
""
],
[
"Dasgupta",
"Arundhati",
""
]
] |
We study the emission rates of scalar, spinor and vector particles from a 5 dimensional black hole for arbitrary partial waves. The solution is lifted to 6 dimensions, and the near horizon $ BTZ \times S^3$ geometry of the black hole solution is probed to determine the greybody factors. We show that the exact decay rates can be reproduced from a $(1+1)$-dimensional conformal field theory which lies on the boundary of the near horizon geometry. The AdS/CFT correspondence is used to determine the dimension of the CFT operators corresponding to the bulk fields. These operators couple to plane waves incident on the CFT from infinity to produce emission in the bulk.
|
1210.7801
|
Satoshi Ohya
|
Satoshi Ohya
|
Parasupersymmetry in Quantum Graphs
|
17 pages, 9 eepic figures; typos corrected, a reference added,
figures improved, minor changes in terminology
|
Annals Phys.331:299-312,2013
|
10.1016/j.aop.2013.01.007
|
HRI-P-12-10-001
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study hidden parasupersymmetry structures in purely bosonic quantum
mechanics on compact equilateral graphs. We consider a single free spinless
particle on the graphs and show that the Huang-Su parasupersymmetry algebra is
hidden behind degenerate spectra.
|
[
{
"created": "Mon, 29 Oct 2012 20:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Feb 2013 08:00:11 GMT",
"version": "v2"
}
] |
2013-02-12
|
[
[
"Ohya",
"Satoshi",
""
]
] |
We study hidden parasupersymmetry structures in purely bosonic quantum mechanics on compact equilateral graphs. We consider a single free spinless particle on the graphs and show that the Huang-Su parasupersymmetry algebra is hidden behind degenerate spectra.
|
2407.13574
|
Arjun Bagchi
|
Arjun Bagchi, Arthur Lipstein, Mangesh Mandlik, Aditya Mehra
|
3d Carrollian Chern-Simons theory and 2d Yang-Mills
|
30 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
With the goal of building a concrete co-dimension one holographically dual
field theory for four dimensional asymptotically flat spacetimes (4d AFS) as a
limit of AdS$_4$/CFT$_3$, we begin an investigation of 3d Chern-Simons matter
(CSM) theories in the Carroll regime. We perform a Carroll (speed of light
$c\to0$) expansion of the relativistic Chern-Simons action coupled to a
massless scalar and obtain Carrollian CSM theories, which we show are invariant
under the infinite dimensional 3d conformal Carroll or 4d Bondi-van der
Burg-Metzner-Sachs (BMS$_4$) symmetries, thus making them putative duals for 4d
AFS. Concentrating on the leading-order electric Carroll CSM theory, we perform
a null reduction of the 3d theory. Null reduction is a procedure to obtain
non-relativistic theories from a higher dimensional relativistic theory.
Curiously, null reduction of a Carrollian theory yields a relativistic
lower-dimensional theory. We work with $SU(N) \times SU(M)$ CS theory coupled
to bi-fundamental matter and show that when $N=M$, we obtain (rather
surprisingly) a 2d Euclidean Yang-Mills theory after null reduction. We also
comment on the reduction when $N \neq M$ and possible connections of the
null-reduced Carroll theory to a candidate 2d Celestial CFT.
|
[
{
"created": "Thu, 18 Jul 2024 15:14:49 GMT",
"version": "v1"
}
] |
2024-07-19
|
[
[
"Bagchi",
"Arjun",
""
],
[
"Lipstein",
"Arthur",
""
],
[
"Mandlik",
"Mangesh",
""
],
[
"Mehra",
"Aditya",
""
]
] |
With the goal of building a concrete co-dimension one holographically dual field theory for four dimensional asymptotically flat spacetimes (4d AFS) as a limit of AdS$_4$/CFT$_3$, we begin an investigation of 3d Chern-Simons matter (CSM) theories in the Carroll regime. We perform a Carroll (speed of light $c\to0$) expansion of the relativistic Chern-Simons action coupled to a massless scalar and obtain Carrollian CSM theories, which we show are invariant under the infinite dimensional 3d conformal Carroll or 4d Bondi-van der Burg-Metzner-Sachs (BMS$_4$) symmetries, thus making them putative duals for 4d AFS. Concentrating on the leading-order electric Carroll CSM theory, we perform a null reduction of the 3d theory. Null reduction is a procedure to obtain non-relativistic theories from a higher dimensional relativistic theory. Curiously, null reduction of a Carrollian theory yields a relativistic lower-dimensional theory. We work with $SU(N) \times SU(M)$ CS theory coupled to bi-fundamental matter and show that when $N=M$, we obtain (rather surprisingly) a 2d Euclidean Yang-Mills theory after null reduction. We also comment on the reduction when $N \neq M$ and possible connections of the null-reduced Carroll theory to a candidate 2d Celestial CFT.
|
hep-th/0204157
|
C. Hofman
|
Christiaan Hofman
|
On the Open-Closed B-Model
|
LaTeX, 48 pages. Citation added
|
JHEP 0311:069,2003
|
10.1088/1126-6708/2003/11/069
|
RUNHETC-2002-04
|
hep-th math.QA
| null |
We study the coupling of the closed string to the open string in the
topological B-model. These couplings can be viewed as gauge invariant
observables in the open string field theory, or as deformations of the
differential graded algebra describing the OSFT. This is interpreted as an
intertwining map from the closed string sector to the deformation (Hochschild)
complex of the open string algebra. By an explicit calculation we show that
this map induces an isomorphism of Gerstenhaber algebras on the level of
cohomology. Reversely, this can be used to derive the closed string from the
open string. We shortly comment on generalizations to other models, such as the
A-model.
|
[
{
"created": "Thu, 18 Apr 2002 19:33:22 GMT",
"version": "v1"
},
{
"created": "Thu, 16 May 2002 20:29:44 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Hofman",
"Christiaan",
""
]
] |
We study the coupling of the closed string to the open string in the topological B-model. These couplings can be viewed as gauge invariant observables in the open string field theory, or as deformations of the differential graded algebra describing the OSFT. This is interpreted as an intertwining map from the closed string sector to the deformation (Hochschild) complex of the open string algebra. By an explicit calculation we show that this map induces an isomorphism of Gerstenhaber algebras on the level of cohomology. Reversely, this can be used to derive the closed string from the open string. We shortly comment on generalizations to other models, such as the A-model.
|
hep-th/9905046
|
Wolfgang Mueck
|
W. Mueck and K.S. Viswanathan
|
Counterterms for the Dirichlet Prescription of the AdS/CFT
Correspondence
|
10 pages, latex2e, uses amsmath, amssymb packages v2: Reference
corrected and one more added
| null | null | null |
hep-th
| null |
We illustrate the Dirichlet prescription of the AdS/CFT correspondence using
the example of a massive scalar field and argue that it is the only entirely
consistent regularization procedure known so far. Using the Dirichlet
prescription, we then calculate the divergent terms for gravity in the cases
$d=2,4,6$, which give rise to the Weyl anomaly in the boundary conformal field
theory.
|
[
{
"created": "Thu, 6 May 1999 18:50:07 GMT",
"version": "v1"
},
{
"created": "Mon, 10 May 1999 17:10:58 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Mueck",
"W.",
""
],
[
"Viswanathan",
"K. S.",
""
]
] |
We illustrate the Dirichlet prescription of the AdS/CFT correspondence using the example of a massive scalar field and argue that it is the only entirely consistent regularization procedure known so far. Using the Dirichlet prescription, we then calculate the divergent terms for gravity in the cases $d=2,4,6$, which give rise to the Weyl anomaly in the boundary conformal field theory.
|
2404.02350
|
Andre LeClair
|
Andr\'e LeClair
|
Thermodynamic formulation of vacuum energy density in flat spacetime and
potential implications for the cosmological constant
|
22 pages, 5 figures
| null | null | null |
hep-th hep-lat hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a thermodynamical definition of the vacuum energy density
$\rho_{\rm vac}$, defined as $\langle 0| T_{\mu\nu} |0\rangle = - \rho_{\rm
vac} \, g_{\mu\nu}$, in quantum field theory in flat Minkowski space in $D$
spacetime dimensions, which can be computed in the limit of high temperature,
namely in the limit $\beta = 1/T \to 0$. It takes the form $\rho_{\rm vac} =
{\rm const} \cdot m^D$ where $m$ is a fundamental mass scale and ${\rm
"const"}$ is a computable constant which can be positive or negative. Due to
modular invariance $\rho_{\rm vac}$ can also be computed in a different
non-thermodynamic channel where one spatial dimension is compactifed on a
circle of circumference $\beta$ and we confirm this modularity for free massive
theories for both bosons and fermions for $D=2,3,4$. We list various properties
of $\rho_{\rm vac}$ that are generally required, for instance $\rho_{\rm
vac}=0$ for conformal field theories, and others, such as the constraint that
$\rho_{\rm vac}$ has opposite signs for free bosons verses fermions of the same
mass, which is related to constraints from supersymmetry. Using the
Thermodynamic Bethe Ansatz we compute $\rho_{\rm vac}$ exactly for 2 classes of
integrable QFT's in $2D$ and interpreting some previously known results. We
apply our definition of $\rho_{\rm vac}$ to Lattice QCD data with two light
quarks (up and down) and one additional massive flavor (the strange quark), and
find it is negative, $\rho_{\rm vac} \approx - ( 200 \, {\rm MeV} )^4$. Finally
we make some remarks on the Cosmological Constant Problem since $\rho_{\rm
vac}$ is central to any discussion of it.
|
[
{
"created": "Tue, 2 Apr 2024 22:51:58 GMT",
"version": "v1"
}
] |
2024-04-04
|
[
[
"LeClair",
"André",
""
]
] |
We propose a thermodynamical definition of the vacuum energy density $\rho_{\rm vac}$, defined as $\langle 0| T_{\mu\nu} |0\rangle = - \rho_{\rm vac} \, g_{\mu\nu}$, in quantum field theory in flat Minkowski space in $D$ spacetime dimensions, which can be computed in the limit of high temperature, namely in the limit $\beta = 1/T \to 0$. It takes the form $\rho_{\rm vac} = {\rm const} \cdot m^D$ where $m$ is a fundamental mass scale and ${\rm "const"}$ is a computable constant which can be positive or negative. Due to modular invariance $\rho_{\rm vac}$ can also be computed in a different non-thermodynamic channel where one spatial dimension is compactifed on a circle of circumference $\beta$ and we confirm this modularity for free massive theories for both bosons and fermions for $D=2,3,4$. We list various properties of $\rho_{\rm vac}$ that are generally required, for instance $\rho_{\rm vac}=0$ for conformal field theories, and others, such as the constraint that $\rho_{\rm vac}$ has opposite signs for free bosons verses fermions of the same mass, which is related to constraints from supersymmetry. Using the Thermodynamic Bethe Ansatz we compute $\rho_{\rm vac}$ exactly for 2 classes of integrable QFT's in $2D$ and interpreting some previously known results. We apply our definition of $\rho_{\rm vac}$ to Lattice QCD data with two light quarks (up and down) and one additional massive flavor (the strange quark), and find it is negative, $\rho_{\rm vac} \approx - ( 200 \, {\rm MeV} )^4$. Finally we make some remarks on the Cosmological Constant Problem since $\rho_{\rm vac}$ is central to any discussion of it.
|
1601.05096
|
Poghossian Rubik
|
Rubik Poghossian
|
Deformed SW curve and the null vector decoupling equation in Toda field
theory
|
references added, published version
|
JHEP04(2016)070
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the deformed Seiberg-Witten curve equation after Fourier
transform is mapped into a differential equation for the AGT dual 2d CFT
cnformal block containing an extra completely degenerate field. We carefully
match parameters in two sides of duality thus providing not only a simple
independent prove of the AGT correspondence in Nekrasov-Shatashvili limit, but
also an extension of AGT to the case when a secondary field is included in the
CFT conformal block. Implications of our results in the study of monodromy
problems for a large class of $n$'th order Fuchsian differential equations are
discussed.
|
[
{
"created": "Tue, 19 Jan 2016 21:00:34 GMT",
"version": "v1"
},
{
"created": "Tue, 10 May 2016 06:10:19 GMT",
"version": "v2"
}
] |
2016-05-11
|
[
[
"Poghossian",
"Rubik",
""
]
] |
It is shown that the deformed Seiberg-Witten curve equation after Fourier transform is mapped into a differential equation for the AGT dual 2d CFT cnformal block containing an extra completely degenerate field. We carefully match parameters in two sides of duality thus providing not only a simple independent prove of the AGT correspondence in Nekrasov-Shatashvili limit, but also an extension of AGT to the case when a secondary field is included in the CFT conformal block. Implications of our results in the study of monodromy problems for a large class of $n$'th order Fuchsian differential equations are discussed.
|
2404.18247
|
Suresh Nampuri Dr.
|
Gabriel Lopes Cardoso, Dami\'an Mayorga Pe\~na, Suresh Nampuri
|
Classical integrability in the presence of a cosmological constant:
analytic and machine learning results
|
32 pages, 7 figures
| null | null | null |
hep-th cs.LG math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We study the integrability of two-dimensional theories that are obtained by a
dimensional reduction of certain four-dimensional gravitational theories
describing the coupling of Maxwell fields and neutral scalar fields to gravity
in the presence of a potential for the neutral scalar fields. By focusing on a
certain solution subspace, we show that a subset of the equations of motion in
two dimensions are the compatibility conditions for a modified version of the
Breitenlohner-Maison linear system. Subsequently, we study the Liouville
integrability of the 2D models encoding the chosen 4D solution subspace from a
one-dimensional point of view by constructing Lax pair matrices. In this
endeavour, we successfully employ a linear neural network to search for Lax
pair matrices for these models, thereby illustrating how machine learning
approaches can be effectively implemented to augment the identification of
integrable structures in classical systems.
|
[
{
"created": "Sun, 28 Apr 2024 17:02:24 GMT",
"version": "v1"
}
] |
2024-05-01
|
[
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Peña",
"Damián Mayorga",
""
],
[
"Nampuri",
"Suresh",
""
]
] |
We study the integrability of two-dimensional theories that are obtained by a dimensional reduction of certain four-dimensional gravitational theories describing the coupling of Maxwell fields and neutral scalar fields to gravity in the presence of a potential for the neutral scalar fields. By focusing on a certain solution subspace, we show that a subset of the equations of motion in two dimensions are the compatibility conditions for a modified version of the Breitenlohner-Maison linear system. Subsequently, we study the Liouville integrability of the 2D models encoding the chosen 4D solution subspace from a one-dimensional point of view by constructing Lax pair matrices. In this endeavour, we successfully employ a linear neural network to search for Lax pair matrices for these models, thereby illustrating how machine learning approaches can be effectively implemented to augment the identification of integrable structures in classical systems.
|
1404.5790
|
Mohammad Ali-Akbari
|
Mohammad Ali-Akbari, Davood Allahbakhshi
|
Meson Life Time in the Anisotropic Quark-Gluon Plasma
|
5 pages, 4 figures, 1 table
| null |
10.1007/JHEP06(2014)115
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the hot (an)isotropic plasma the meson life time $\tau$ is defined as a
time scale after which the meson dissociates. According to the gauge/gravity
duality, this time can be identified with the inverse of the imaginary part of
the frequency of the quasinormal modes, $\omega_I$, in the (an)isotropic black
hole background. In the high temperature limit, we numerically show that at
fixed temperature(entropy density) the life time of the mesons
decreases(increases) as the anisotropy parameter raises. For general case, at
fixed temperature we introduce a polynomial function for $\omega_I$ and observe
that the meson life time decreases. Moreover, we realize that $(s/T^3)^6$,
where $s$ and $T$ are entropy density and temperature of the plasma
respectively, can be expressed as a function of anisotropy parameter over
temperature. Interestingly, this function is a Pad\'{e} approximant.
|
[
{
"created": "Wed, 23 Apr 2014 11:35:38 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2014 15:37:26 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Ali-Akbari",
"Mohammad",
""
],
[
"Allahbakhshi",
"Davood",
""
]
] |
In the hot (an)isotropic plasma the meson life time $\tau$ is defined as a time scale after which the meson dissociates. According to the gauge/gravity duality, this time can be identified with the inverse of the imaginary part of the frequency of the quasinormal modes, $\omega_I$, in the (an)isotropic black hole background. In the high temperature limit, we numerically show that at fixed temperature(entropy density) the life time of the mesons decreases(increases) as the anisotropy parameter raises. For general case, at fixed temperature we introduce a polynomial function for $\omega_I$ and observe that the meson life time decreases. Moreover, we realize that $(s/T^3)^6$, where $s$ and $T$ are entropy density and temperature of the plasma respectively, can be expressed as a function of anisotropy parameter over temperature. Interestingly, this function is a Pad\'{e} approximant.
|
1512.09037
|
Andrew Lucas
|
Andrew Lucas, Koenraad Schalm, Benjamin Doyon, M. J. Bhaseen
|
Shock waves, rarefaction waves and non-equilibrium steady states in
quantum critical systems
|
23 pages, 10 figures. v2: published version
|
Phys. Rev. D 94, 025004 (2016)
|
10.1103/PhysRevD.94.025004
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We re-examine the emergence of a universal non-equilibrium steady state
following a local quench between quantum critical heat baths in spatial
dimensions greater than one. We show that energy transport proceeds by the
formation of an instantaneous shock wave and a broadening rarefaction wave on
either side of the interface, and not by two shock waves as previously
proposed. For small temperature differences the universal steady state energy
currents of the two-shock and rarefaction-shock solutions coincide. Over a
broad range of parameters, the difference in the energy flow across the
interface between these two solutions is at the level of two percent. The
properties of the energy flow remain fully universal and independent of the
microscopic theory. We briefly discuss the width of the shock wave in a viscous
fluid, the effects of momentum relaxation, and the generalization to charged
fluids.
|
[
{
"created": "Wed, 30 Dec 2015 17:56:19 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jul 2016 15:43:28 GMT",
"version": "v2"
}
] |
2016-07-13
|
[
[
"Lucas",
"Andrew",
""
],
[
"Schalm",
"Koenraad",
""
],
[
"Doyon",
"Benjamin",
""
],
[
"Bhaseen",
"M. J.",
""
]
] |
We re-examine the emergence of a universal non-equilibrium steady state following a local quench between quantum critical heat baths in spatial dimensions greater than one. We show that energy transport proceeds by the formation of an instantaneous shock wave and a broadening rarefaction wave on either side of the interface, and not by two shock waves as previously proposed. For small temperature differences the universal steady state energy currents of the two-shock and rarefaction-shock solutions coincide. Over a broad range of parameters, the difference in the energy flow across the interface between these two solutions is at the level of two percent. The properties of the energy flow remain fully universal and independent of the microscopic theory. We briefly discuss the width of the shock wave in a viscous fluid, the effects of momentum relaxation, and the generalization to charged fluids.
|
hep-th/0611197
|
Tomasz Konopka
|
Tomasz Konopka, Fotini Markopoulou and Lee Smolin
|
Quantum Graphity
|
14 pages, 3 figures
| null | null | null |
hep-th
| null |
We introduce a new model of background independent physics in which the
degrees of freedom live on a complete graph and the physics is invariant under
the permutations of all the points. We argue that the model has a low energy
phase in which physics on a low dimensional lattice emerges and the permutation
symmetry is broken to the translation group of that lattice. In the high
temperature, or disordered, phase the permutation symmetry is respected and the
average distance between degrees of freedom is small. This may serve as a
tractable model for the emergence of classical geometry in background
independent models of spacetime. We use this model to argue for a cosmological
scenario in which the universe underwent a transition from the high to the low
temperature phase, thus avoiding the horizon problem.
|
[
{
"created": "Fri, 17 Nov 2006 16:07:56 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Konopka",
"Tomasz",
""
],
[
"Markopoulou",
"Fotini",
""
],
[
"Smolin",
"Lee",
""
]
] |
We introduce a new model of background independent physics in which the degrees of freedom live on a complete graph and the physics is invariant under the permutations of all the points. We argue that the model has a low energy phase in which physics on a low dimensional lattice emerges and the permutation symmetry is broken to the translation group of that lattice. In the high temperature, or disordered, phase the permutation symmetry is respected and the average distance between degrees of freedom is small. This may serve as a tractable model for the emergence of classical geometry in background independent models of spacetime. We use this model to argue for a cosmological scenario in which the universe underwent a transition from the high to the low temperature phase, thus avoiding the horizon problem.
|
1306.3941
|
Giuseppe Policastro
|
Ayan Mukhopadhyay, Giuseppe Policastro
|
Phenomenological characterisation of semi-holographic non-Fermi liquids
|
5+5 pages, 3 figures, expanded supplementary material, published
version
|
Phys. Rev. Lett. 111, 221602 (2013)
|
10.1103/PhysRevLett.111.221602
|
CPHT-RR031.0513, LPTENS 13/13
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse some phenomenological implications of the most general
semi-holographic models for non-Fermi liquids that have emerged with inputs
from the holographic correspondence. We find generalizations of Landau-Silin
equations with few parameters governing thermodynamics, low energy response and
collective excitations. We show that even when there is a Fermi surface with
well-defined quasi-particle excitations, the collective excitations can behave
very differently from Landau's theory.
|
[
{
"created": "Mon, 17 Jun 2013 17:45:58 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Oct 2013 10:25:59 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Feb 2014 17:12:07 GMT",
"version": "v3"
}
] |
2014-02-19
|
[
[
"Mukhopadhyay",
"Ayan",
""
],
[
"Policastro",
"Giuseppe",
""
]
] |
We analyse some phenomenological implications of the most general semi-holographic models for non-Fermi liquids that have emerged with inputs from the holographic correspondence. We find generalizations of Landau-Silin equations with few parameters governing thermodynamics, low energy response and collective excitations. We show that even when there is a Fermi surface with well-defined quasi-particle excitations, the collective excitations can behave very differently from Landau's theory.
|
1910.04166
|
Federico Bonetti
|
Ibrahima Bah, Federico Bonetti, Ruben Minasian, Emily Nardoni
|
Anomalies of QFTs from M-theory and Holography
|
31 pages plus appendices
| null |
10.1007/JHEP01(2020)125
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a systematic way of computing the 't Hooft anomalies for
continuous symmetries of Quantum Field Theories in even dimensions that can be
geometrically engineered from M5-branes. Our approach is based on anomaly
inflow, and characterizes the anomaly polynomial of the QFT in terms of the
geometric definition of the field theory. In particular, when the QFT admits a
holographic dual, the topological data of the solution is sufficient to compute
the anomalies of the dual field theory, including finite terms in $N$. We study
several classes of examples in four and six dimensions, with or without known
M5-brane probe configurations.
|
[
{
"created": "Wed, 9 Oct 2019 18:00:01 GMT",
"version": "v1"
}
] |
2020-02-19
|
[
[
"Bah",
"Ibrahima",
""
],
[
"Bonetti",
"Federico",
""
],
[
"Minasian",
"Ruben",
""
],
[
"Nardoni",
"Emily",
""
]
] |
We describe a systematic way of computing the 't Hooft anomalies for continuous symmetries of Quantum Field Theories in even dimensions that can be geometrically engineered from M5-branes. Our approach is based on anomaly inflow, and characterizes the anomaly polynomial of the QFT in terms of the geometric definition of the field theory. In particular, when the QFT admits a holographic dual, the topological data of the solution is sufficient to compute the anomalies of the dual field theory, including finite terms in $N$. We study several classes of examples in four and six dimensions, with or without known M5-brane probe configurations.
|
2106.15640
|
Fabian Hahner
|
Richard Eager, Fabian Hahner
|
Maximally twisted eleven-dimensional supergravity
|
40 pages, 10 tables
|
Commun.Math.Phys. 398 (2023) 1, 59-88
|
10.1007/s00220-022-04516-5
| null |
hep-th math-ph math.AG math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We perform the maximal twist of eleven-dimensional supergravity. This twist
is partially topological and exists on manifolds of $G_2 \times SU(2)$
holonomy. Our derivation starts with an explicit description of the
Batalin-Vilkovisky complex associated to the three-form multiplet in the pure
spinor superfield formalism. We then determine the $L_\infty$ module structure
of the supersymmetry algebra on the component fields. We twist the theory by
modifying the differential of the Batalin-Vilkovisky complex to incorporate the
action of a scalar supercharge. We find that the resulting free twisted theory
is given by the tensor product of the de Rham and Dolbeault complexes of the
respective $G_2$ and $SU(2)$ holonomy manifolds as conjectured by Costello.
|
[
{
"created": "Tue, 29 Jun 2021 18:00:12 GMT",
"version": "v1"
}
] |
2023-02-28
|
[
[
"Eager",
"Richard",
""
],
[
"Hahner",
"Fabian",
""
]
] |
We perform the maximal twist of eleven-dimensional supergravity. This twist is partially topological and exists on manifolds of $G_2 \times SU(2)$ holonomy. Our derivation starts with an explicit description of the Batalin-Vilkovisky complex associated to the three-form multiplet in the pure spinor superfield formalism. We then determine the $L_\infty$ module structure of the supersymmetry algebra on the component fields. We twist the theory by modifying the differential of the Batalin-Vilkovisky complex to incorporate the action of a scalar supercharge. We find that the resulting free twisted theory is given by the tensor product of the de Rham and Dolbeault complexes of the respective $G_2$ and $SU(2)$ holonomy manifolds as conjectured by Costello.
|
hep-th/9705056
|
Andrei Linde
|
Renata Kallosh
|
Covariant Quantization of D-branes
|
16 pages, no figures
|
Phys. Rev. D 56, 3515 (1997)
|
10.1103/PhysRevD.56.3515
|
SU-ITP-97-23
|
hep-th
| null |
We have found that kappa-symmetry allows a covariant quantization provided
the ground state of the theory is strictly massive. For D-p-branes a
Hamiltonian analysis is performed to explain the existence of a manifestly
supersymmetric and Lorentz covariant description of the BPS states of the
theory. The covariant quantization of the D-0-brane is presented as an example.
|
[
{
"created": "Thu, 8 May 1997 23:47:19 GMT",
"version": "v1"
}
] |
2016-08-25
|
[
[
"Kallosh",
"Renata",
""
]
] |
We have found that kappa-symmetry allows a covariant quantization provided the ground state of the theory is strictly massive. For D-p-branes a Hamiltonian analysis is performed to explain the existence of a manifestly supersymmetric and Lorentz covariant description of the BPS states of the theory. The covariant quantization of the D-0-brane is presented as an example.
|
2102.04930
|
Eanna E. Flanagan
|
Eanna E Flanagan
|
An order-unity correction to Hawking radiation
|
5 pages, no figures; v2 minor corrections; v3 minor clarifications
and figure added
|
Phys. Rev. Lett. 127, 041301 (2021)
|
10.1103/PhysRevLett.127.041301
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When a black hole first forms, the properties of the emitted radiation as
measured by observers near future null infinity are very close to the 1974
prediction of Hawking. However, deviations grow with time, and become of order
unity after a time $t \sim M_i^{7/3}$, where $M_i$ is the initial mass in
Planck units. After an evaporation time the corrections are large: the angular
distribution of the emitted radiation is no longer dominated by low multipoles,
with an exponential fall off at high multipoles. Instead, the radiation is
redistributed as a power law spectrum over a broad range of angular scales, all
the way down to the scale $\Delta \theta \sim 1/M_i$, beyond which there is
exponential falloff. This effect is is a quantum gravitational effect, whose
origin is the spreading of the wavefunction of the black hole's center of mass
location caused by the kicks of the individual outgoing quanta, discovered by
Page in 1980. The modified angular distribution of the Hawking radiation has an
important consequence: the number of soft hair modes that can effectively
interact with outgoing Hawking quanta increases from the handful of modes at
low multipoles $l$, to a large number of modes, of order $\sim M_i^2$. We argue
that this change unlocks the Hawking-Perry-Strominger mechanism for purifying
the Hawking radiation.
|
[
{
"created": "Tue, 9 Feb 2021 16:40:58 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 2021 15:07:13 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Jun 2021 14:26:44 GMT",
"version": "v3"
}
] |
2021-07-28
|
[
[
"Flanagan",
"Eanna E",
""
]
] |
When a black hole first forms, the properties of the emitted radiation as measured by observers near future null infinity are very close to the 1974 prediction of Hawking. However, deviations grow with time, and become of order unity after a time $t \sim M_i^{7/3}$, where $M_i$ is the initial mass in Planck units. After an evaporation time the corrections are large: the angular distribution of the emitted radiation is no longer dominated by low multipoles, with an exponential fall off at high multipoles. Instead, the radiation is redistributed as a power law spectrum over a broad range of angular scales, all the way down to the scale $\Delta \theta \sim 1/M_i$, beyond which there is exponential falloff. This effect is is a quantum gravitational effect, whose origin is the spreading of the wavefunction of the black hole's center of mass location caused by the kicks of the individual outgoing quanta, discovered by Page in 1980. The modified angular distribution of the Hawking radiation has an important consequence: the number of soft hair modes that can effectively interact with outgoing Hawking quanta increases from the handful of modes at low multipoles $l$, to a large number of modes, of order $\sim M_i^2$. We argue that this change unlocks the Hawking-Perry-Strominger mechanism for purifying the Hawking radiation.
|
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