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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1003.0218
|
Luca Mezincescu
|
Andrey Beylin, Thomas Curtright, Evgeny Ivanov and Luca Mezincescu
|
Generalized N = 2 Super Landau Models
|
26 pages
|
JHEP 1004:091,2010
|
10.1007/JHEP04(2010)091
|
UMTG-12, JINR-E2-2010-25
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize previous results for the superplane Landau model to exhibit an
explicit worldline N = 2 supersymmetry for an arbitrary magnetic field on any
two-dimensional manifold. Starting from an off-shell N = 2 superfield
formalism, we discuss the quantization procedure in the general case
characterized by two independent potentials on the manifold and show that the
relevant Hamiltonians are factorizable. In the restricted case when both the
Gauss curvature and the magnetic field are constant over the manifold and, as a
consequence, the underlying potentials are related, the Hamiltonians admit
infinite series of factorization chains implying the integrability of the
associated systems. We explicitly determine the spectrum and eigenvectors for
the particular model with CP^1 as the bosonic manifold.
|
[
{
"created": "Sun, 28 Feb 2010 23:10:29 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Beylin",
"Andrey",
""
],
[
"Curtright",
"Thomas",
""
],
[
"Ivanov",
"Evgeny",
""
],
[
"Mezincescu",
"Luca",
""
]
] |
We generalize previous results for the superplane Landau model to exhibit an explicit worldline N = 2 supersymmetry for an arbitrary magnetic field on any two-dimensional manifold. Starting from an off-shell N = 2 superfield formalism, we discuss the quantization procedure in the general case characterized by two independent potentials on the manifold and show that the relevant Hamiltonians are factorizable. In the restricted case when both the Gauss curvature and the magnetic field are constant over the manifold and, as a consequence, the underlying potentials are related, the Hamiltonians admit infinite series of factorization chains implying the integrability of the associated systems. We explicitly determine the spectrum and eigenvectors for the particular model with CP^1 as the bosonic manifold.
|
1705.01561
|
Michael Gutperle
|
Michael Gutperle, Chrysostomos Marasinou, Andrea Trivella, Christoph
F. Uhlemann
|
Entanglement entropy vs. free energy in IIB supergravity duals for 5d
SCFTs
|
25 pages, 3 figures
| null |
10.1007/JHEP09(2017)125
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study entanglement entropy and the free energy in recently constructed
holographic duals for 5d SCFTs in type IIB supergravity. The solutions exhibit
mild singularities, which could potentially complicate holographic
applications. We use the relation of the entanglement entropy for a spherical
entangling surface to the free energy of the field theory on the five sphere as
a well-motivated benchmark to assess how problematic the singularities are. The
holographic supergravity computations give well-defined results for both
quantities and they satisfy the expected relations. This supports the
interpretation of the solutions as holographic duals for 5d SCFTs and gives
first quantitative indications for the nature of the dual SCFTs.
|
[
{
"created": "Wed, 3 May 2017 18:00:09 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 2017 15:08:33 GMT",
"version": "v2"
}
] |
2017-10-02
|
[
[
"Gutperle",
"Michael",
""
],
[
"Marasinou",
"Chrysostomos",
""
],
[
"Trivella",
"Andrea",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
We study entanglement entropy and the free energy in recently constructed holographic duals for 5d SCFTs in type IIB supergravity. The solutions exhibit mild singularities, which could potentially complicate holographic applications. We use the relation of the entanglement entropy for a spherical entangling surface to the free energy of the field theory on the five sphere as a well-motivated benchmark to assess how problematic the singularities are. The holographic supergravity computations give well-defined results for both quantities and they satisfy the expected relations. This supports the interpretation of the solutions as holographic duals for 5d SCFTs and gives first quantitative indications for the nature of the dual SCFTs.
|
2209.06802
|
Karan Fernandes
|
Nabamita Banerjee, Karan Fernandes, Arpita Mitra
|
$1/L^2$ corrected soft photon theorem from a CFT$_3$ Ward identity
|
32 pages, 1 figure
| null |
10.1007/JHEP04(2023)055
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classical soft theorems applied to probe scattering processes on AdS$_4$
spacetimes predict the existence of $1/L^2$ corrections to the soft photon and
soft graviton factors of asymptotically flat spacetimes. In this paper, we
establish that the $1/L^2$ corrected soft photon theorem can be derived from a
large $N$ CFT$_3$ Ward identity. We derive a perturbed soft photon mode
operator on a flat spacetime patch in global AdS$_4$ in terms of an integrated
expression of the boundary CFT current. Using the same in the CFT$_3$ Ward
identity, we recover the $1/L^2$ corrected soft photon theorem derived from
classical soft theorems.
|
[
{
"created": "Wed, 14 Sep 2022 17:35:44 GMT",
"version": "v1"
}
] |
2023-05-03
|
[
[
"Banerjee",
"Nabamita",
""
],
[
"Fernandes",
"Karan",
""
],
[
"Mitra",
"Arpita",
""
]
] |
Classical soft theorems applied to probe scattering processes on AdS$_4$ spacetimes predict the existence of $1/L^2$ corrections to the soft photon and soft graviton factors of asymptotically flat spacetimes. In this paper, we establish that the $1/L^2$ corrected soft photon theorem can be derived from a large $N$ CFT$_3$ Ward identity. We derive a perturbed soft photon mode operator on a flat spacetime patch in global AdS$_4$ in terms of an integrated expression of the boundary CFT current. Using the same in the CFT$_3$ Ward identity, we recover the $1/L^2$ corrected soft photon theorem derived from classical soft theorems.
|
0901.4937
|
Arutyunov Gleb E
|
Gleb Arutyunov and Sergey Frolov
|
Foundations of the AdS_5 x S^5 Superstring. Part I
|
161 pages
| null |
10.1088/1751-8113/42/25/254003
|
ITP-UU-09-05, SPIN-09-05, TCD-MATH-09-06, HMI-09-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the recent advances towards finding the spectrum of the AdS_5 x S^5
superstring. We thoroughly explain the theoretical techniques which should be
useful for the ultimate solution of the spectral problem. In certain cases our
exposition is original and cannot be found in the existing literature. The
present Part I deals with foundations of classical string theory in AdS_5 x
S^5, light-cone perturbative quantization and derivation of the exact
light-cone world-sheet scattering matrix.
|
[
{
"created": "Fri, 30 Jan 2009 17:25:39 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 2009 16:28:54 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Arutyunov",
"Gleb",
""
],
[
"Frolov",
"Sergey",
""
]
] |
We review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain cases our exposition is original and cannot be found in the existing literature. The present Part I deals with foundations of classical string theory in AdS_5 x S^5, light-cone perturbative quantization and derivation of the exact light-cone world-sheet scattering matrix.
|
1010.1369
|
Frederic P. Schuller
|
Dennis Raetzel, Sergio Rivera, Frederic P. Schuller
|
Geometry of physical dispersion relations
|
revised version, new section on applications added, 46 pages, 9
figures
| null |
10.1103/PhysRevD.83.044047
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To serve as a dispersion relation, a cotangent bundle function must satisfy
three simple algebraic properties. These conditions are derived from the
inescapable physical requirements to have predictive matter field dynamics and
an observer-independent notion of positive energy. Possible modifications of
the standard relativistic dispersion relation are thereby severely restricted.
For instance, the dispersion relations associated with popular deformations of
Maxwell theory by Gambini-Pullin or Myers-Pospelov are not admissible.
|
[
{
"created": "Thu, 7 Oct 2010 08:34:25 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jan 2011 22:51:33 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"Raetzel",
"Dennis",
""
],
[
"Rivera",
"Sergio",
""
],
[
"Schuller",
"Frederic P.",
""
]
] |
To serve as a dispersion relation, a cotangent bundle function must satisfy three simple algebraic properties. These conditions are derived from the inescapable physical requirements to have predictive matter field dynamics and an observer-independent notion of positive energy. Possible modifications of the standard relativistic dispersion relation are thereby severely restricted. For instance, the dispersion relations associated with popular deformations of Maxwell theory by Gambini-Pullin or Myers-Pospelov are not admissible.
|
1803.04463
|
Pedro F. Ramirez
|
Samuele Chimento, Patrick Meessen, Tomas Ortin, Pedro F. Ramirez and
Alejandro Ruiperez
|
On a family of $\alpha'$-corrected solutions of the Heterotic
Superstring effective action
|
v2: typos corrected, references added
| null |
10.1007/JHEP07(2018)080
|
FPAUO-18/03, IFT-UAM/CSIC-18-018, IFUM-1058-FT
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute explicitly the first-order in $\alpha'$ corrections to a family of
solutions of the Heterotic Superstring effective action that describes
fundamental strings with momentum along themselves, parallel to solitonic
5-branes with Kaluza-Klein monopoles (Gibbons-Hawking metrics) in their
transverse space. These solutions correspond to 4-charge extremal black holes
in 4 dimensions upon dimensional reduction on $\mathrm{T}^{6}$. We show that
some of the $\alpha'$ corrections can be cancelled by introducing solitonic
$\mathrm{SU}(2)\times \mathrm{SU}(2)$ Yang-Mills fields, and that this family
of $\alpha'$-corrected solutions is invariant under $\alpha'$-corrected
T-duality transformations. We study in detail the mechanism that allows us to
compute explicitly these $\alpha'$ corrections for the ansatz considered here,
based on a generalization of the 't Hooft ansatz to hyperK\"ahler spaces.
|
[
{
"created": "Mon, 12 Mar 2018 19:00:32 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2018 16:18:23 GMT",
"version": "v2"
}
] |
2018-08-15
|
[
[
"Chimento",
"Samuele",
""
],
[
"Meessen",
"Patrick",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Ramirez",
"Pedro F.",
""
],
[
"Ruiperez",
"Alejandro",
""
]
] |
We compute explicitly the first-order in $\alpha'$ corrections to a family of solutions of the Heterotic Superstring effective action that describes fundamental strings with momentum along themselves, parallel to solitonic 5-branes with Kaluza-Klein monopoles (Gibbons-Hawking metrics) in their transverse space. These solutions correspond to 4-charge extremal black holes in 4 dimensions upon dimensional reduction on $\mathrm{T}^{6}$. We show that some of the $\alpha'$ corrections can be cancelled by introducing solitonic $\mathrm{SU}(2)\times \mathrm{SU}(2)$ Yang-Mills fields, and that this family of $\alpha'$-corrected solutions is invariant under $\alpha'$-corrected T-duality transformations. We study in detail the mechanism that allows us to compute explicitly these $\alpha'$ corrections for the ansatz considered here, based on a generalization of the 't Hooft ansatz to hyperK\"ahler spaces.
|
1212.6881
|
Souvik Pramanik
|
Souvik Pramanik, Subir Ghosh and Probir Pal
|
Electrodynamics of a Generalized Charged Particle in Doubly Special
Relativity Framework
|
20 pages, figure 4,5 and 6 have changed
|
Annals of Physics 346 113(2014)
|
10.1016/j.aop.2014.04.009
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper, dynamics of generalized charged particles are studied
in the presence of external electromagnetic interactions. This particular
extension of the free relativistic particle model lives in Non-Commutative
$\kappa$-Minkowski space-time, compatible with Doubly Special Relativity, that
is motivated to describe Quantum Gravity effects. Furthermore we have also
considered the electromagnetic field to be dynamical and have derived the
modified forms of Lienard-Wiechert like potentials for these extended charged
particle models. In all the above cases we exploit the new and extended form of
$\kappa$-Minkowski algebra where electromagnetic effects are incorporated in
the lowest order, in the Dirac framework of Hamiltonian constraint analysis.
|
[
{
"created": "Mon, 31 Dec 2012 12:40:42 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2014 02:23:41 GMT",
"version": "v2"
}
] |
2014-05-09
|
[
[
"Pramanik",
"Souvik",
""
],
[
"Ghosh",
"Subir",
""
],
[
"Pal",
"Probir",
""
]
] |
In the present paper, dynamics of generalized charged particles are studied in the presence of external electromagnetic interactions. This particular extension of the free relativistic particle model lives in Non-Commutative $\kappa$-Minkowski space-time, compatible with Doubly Special Relativity, that is motivated to describe Quantum Gravity effects. Furthermore we have also considered the electromagnetic field to be dynamical and have derived the modified forms of Lienard-Wiechert like potentials for these extended charged particle models. In all the above cases we exploit the new and extended form of $\kappa$-Minkowski algebra where electromagnetic effects are incorporated in the lowest order, in the Dirac framework of Hamiltonian constraint analysis.
|
hep-th/9709115
|
Michael Engelhardt
|
Michael Engelhardt and Hugo Reinhardt (Tuebingen Univ.)
|
Effective potential for the order parameter of the SU(2) Yang-Mills
deconfinement transition
|
5 pages latex, 1 ps figure
|
Phys.Lett. B430 (1998) 161-167
|
10.1016/S0370-2693(98)00497-3
|
UNITU-THEP-18/1997
|
hep-th
| null |
The Polyakov loop variable serves as an order parameter to characterize the
confined and deconfined phases of Yang-Mills theory. By integrating out the
vector fields in the SU(2) Yang-Mills partition function in one-loop
approximation, an effective action is obtained for the Polyakov loop to second
order in a derivative expansion. The resulting effective potential for the
Polyakov loop is capable of describing a second-order deconfinement transition
as a function of temperature.
|
[
{
"created": "Tue, 16 Sep 1997 16:39:20 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Engelhardt",
"Michael",
"",
"Tuebingen Univ."
],
[
"Reinhardt",
"Hugo",
"",
"Tuebingen Univ."
]
] |
The Polyakov loop variable serves as an order parameter to characterize the confined and deconfined phases of Yang-Mills theory. By integrating out the vector fields in the SU(2) Yang-Mills partition function in one-loop approximation, an effective action is obtained for the Polyakov loop to second order in a derivative expansion. The resulting effective potential for the Polyakov loop is capable of describing a second-order deconfinement transition as a function of temperature.
|
1210.6074
|
Alexander Krikun
|
A. Krikun, V. P. Kirilin, A. V. Sadofyev
|
Holographic model of the S^{+/-} multiband superconductor
|
18 pages, 5 figures. v2: references added, misprints corrected. v3:
published version
|
JHEP 07 (2013) 136
|
10.1007/JHEP07(2013)136
| null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the holographic model of an $S^\pm$ multiband superconductor.
This system is a candidate to explain the anomalous features of the iron-based
superconductors (e.g. LaFeAsO, BFe2As2, and other pnictides and arsenides). We
study the framework, which allows formation of the sign-interchanging order
parameter. We also calculate the electric AC conductivity and study its
features, related to the interband interaction.
|
[
{
"created": "Mon, 22 Oct 2012 21:28:47 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2013 15:19:34 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Aug 2013 13:04:06 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Krikun",
"A.",
""
],
[
"Kirilin",
"V. P.",
""
],
[
"Sadofyev",
"A. V.",
""
]
] |
We construct the holographic model of an $S^\pm$ multiband superconductor. This system is a candidate to explain the anomalous features of the iron-based superconductors (e.g. LaFeAsO, BFe2As2, and other pnictides and arsenides). We study the framework, which allows formation of the sign-interchanging order parameter. We also calculate the electric AC conductivity and study its features, related to the interband interaction.
|
hep-th/0407145
|
J. M. Drummond
|
J. M. Drummond, S. F. Kerstan
|
Kappa-symmetric Derivative Corrections to D-brane Dynamics
|
20 pages. Minor changes, added references
|
JHEP0410:006,2004
|
10.1088/1126-6708/2004/10/006
|
KCL-MTH-04-10
|
hep-th
| null |
We show how the superembedding formalism can be applied to construct
manifestly kappa-symmetric higher derivative corrections for the D9-brane. We
also show that all correction terms appear at even powers of the fundamental
length scale $l$. We explicitly construct the first potential correction, which
corresponds to the kappa-symmetric version of the $\partial^4 F^4$, which one
finds from the four-point amplitude of the open superstring.
|
[
{
"created": "Fri, 16 Jul 2004 17:12:24 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2004 09:29:06 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Drummond",
"J. M.",
""
],
[
"Kerstan",
"S. F.",
""
]
] |
We show how the superembedding formalism can be applied to construct manifestly kappa-symmetric higher derivative corrections for the D9-brane. We also show that all correction terms appear at even powers of the fundamental length scale $l$. We explicitly construct the first potential correction, which corresponds to the kappa-symmetric version of the $\partial^4 F^4$, which one finds from the four-point amplitude of the open superstring.
|
1206.1857
|
Donovan Young
|
Abhishek Agarwal and Donovan Young
|
Deconstructing Supersymmetric S-matrices in D <= 2 + 1
|
1+13 pages
|
Phys. Rev. D 87, 065029 (2013)
|
10.1103/PhysRevD.87.065029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Global supersymmetries of the S-matrices of N = 2, 4, 8 supersymmetric
Yang-Mills theories in three spacetime dimensions (without matter
hypermultiplets) are shown to be SU(1|1), SU(2|2) and SU(2|2) X SU(2|2)
respectively. These symmetries are not manifest in the off-shell Lagrangian
formulations of these theories. A direct map between these symmetries and their
representations in terms of the Yang-Mills degrees of freedom and the
corresponding quantities in Chern-Simons-Matter theories with N >= 4
supersymmetry is also obtained. Dimensional reduction of the on-shell
observables of the Yang-Mills theories to two spacetime dimensions is also
discussed.
|
[
{
"created": "Fri, 8 Jun 2012 20:00:09 GMT",
"version": "v1"
}
] |
2013-05-21
|
[
[
"Agarwal",
"Abhishek",
""
],
[
"Young",
"Donovan",
""
]
] |
Global supersymmetries of the S-matrices of N = 2, 4, 8 supersymmetric Yang-Mills theories in three spacetime dimensions (without matter hypermultiplets) are shown to be SU(1|1), SU(2|2) and SU(2|2) X SU(2|2) respectively. These symmetries are not manifest in the off-shell Lagrangian formulations of these theories. A direct map between these symmetries and their representations in terms of the Yang-Mills degrees of freedom and the corresponding quantities in Chern-Simons-Matter theories with N >= 4 supersymmetry is also obtained. Dimensional reduction of the on-shell observables of the Yang-Mills theories to two spacetime dimensions is also discussed.
|
1405.1320
|
Varghese Mathai
|
Fei Han, Varghese Mathai
|
Exotic twisted equivariant cohomology of loop spaces, twisted
Bismut-Chern character and T-duality
|
23 pages. To appear in CMP
|
Commun.Math.Phys.337:127-150,2015
|
10.1007/s00220-014-2270-z
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define exotic twisted $S^1$-equivariant cohomology for the loop space $LZ$
of a smooth manifold $Z$ via the invariant differential forms on $LZ$ with
coefficients in the (typically non-flat) holonomy line bundle of a gerbe, with
differential an equivariantly flat superconnection. We introduce the twisted
Bismut-Chern character form, a loop space refinement of the twisted Chern
character form, which represent classes in the completed periodic exotic
twisted $S^1$-equivariant cohomology of $LZ$. We establish a localisation
theorem for the completed periodic exotic twisted $S^1$-equivariant cohomology
for loop spaces and apply it to establish T-duality in a background flux in
type II String Theory from a loop space perspective.
|
[
{
"created": "Tue, 6 May 2014 15:34:22 GMT",
"version": "v1"
},
{
"created": "Sat, 10 May 2014 08:52:55 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Jul 2014 04:38:58 GMT",
"version": "v3"
},
{
"created": "Tue, 20 Jan 2015 18:54:37 GMT",
"version": "v4"
}
] |
2015-03-24
|
[
[
"Han",
"Fei",
""
],
[
"Mathai",
"Varghese",
""
]
] |
We define exotic twisted $S^1$-equivariant cohomology for the loop space $LZ$ of a smooth manifold $Z$ via the invariant differential forms on $LZ$ with coefficients in the (typically non-flat) holonomy line bundle of a gerbe, with differential an equivariantly flat superconnection. We introduce the twisted Bismut-Chern character form, a loop space refinement of the twisted Chern character form, which represent classes in the completed periodic exotic twisted $S^1$-equivariant cohomology of $LZ$. We establish a localisation theorem for the completed periodic exotic twisted $S^1$-equivariant cohomology for loop spaces and apply it to establish T-duality in a background flux in type II String Theory from a loop space perspective.
|
hep-th/9906212
|
K. J. Barnes
|
K.J. Barnes
|
Avoiding the theorem of Lerche and Shore
| null |
Phys.Lett. B468 (1999) 81-85
|
10.1016/S0370-2693(99)00865-5
| null |
hep-th
| null |
Supersymmetric $\sigma$-models obtained by constraining linear supersymmetric
field theories are ill defined. Well defined subsectors parametrising Kahler
manifolds exist but are not believed to arise directly from constrained linear
ones. A counterexample is offered using improved understanding of membranes in
superstring theories leading to crucial central terms modifying the algebra of
supercharge densities
|
[
{
"created": "Mon, 28 Jun 1999 10:47:39 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Barnes",
"K. J.",
""
]
] |
Supersymmetric $\sigma$-models obtained by constraining linear supersymmetric field theories are ill defined. Well defined subsectors parametrising Kahler manifolds exist but are not believed to arise directly from constrained linear ones. A counterexample is offered using improved understanding of membranes in superstring theories leading to crucial central terms modifying the algebra of supercharge densities
|
hep-th/9802060
|
Martin Seeger
|
M. Seeger, M. Thies (University of Erlangen-Nuernberg)
|
QCD_{1+1} with Static Quarks as Supersymmetric Quantum Mechanics
|
6 pages, LaTeX
|
Phys. Rev. D 58, 027701 (1998)
|
10.1103/PhysRevD.58.027701
|
FAU-TP3-98/3
|
hep-th
| null |
We reexamine the solvable model problem of two static, fundamental quarks
interacting with a SU(2) Yang-Mills field on a spatial circle, introduced by
Engelhardt and Schreiber. If the quarks are at the same point, the model
exhibits a quantum mechanical supersymmetry. At finite separation, the
supersymmetry is explicitly broken in a way which naturally explains the
geometrical nature of spectrum and state vectors of this system.
|
[
{
"created": "Mon, 9 Feb 1998 20:25:54 GMT",
"version": "v1"
}
] |
2016-08-25
|
[
[
"Seeger",
"M.",
"",
"University of Erlangen-Nuernberg"
],
[
"Thies",
"M.",
"",
"University of Erlangen-Nuernberg"
]
] |
We reexamine the solvable model problem of two static, fundamental quarks interacting with a SU(2) Yang-Mills field on a spatial circle, introduced by Engelhardt and Schreiber. If the quarks are at the same point, the model exhibits a quantum mechanical supersymmetry. At finite separation, the supersymmetry is explicitly broken in a way which naturally explains the geometrical nature of spectrum and state vectors of this system.
|
hep-th/9712047
|
Matthias Blau
|
Matthias Blau, Martin O'Loughlin
|
Aspects of U-Duality in Matrix Theory
|
40 pages, LaTeX
|
Nucl.Phys.B525:182-214,1998
|
10.1016/S0550-3213(98)00242-9
|
IC/97/198
|
hep-th
| null |
We explore various aspects of implementing the full M-theory U-duality group
E_{d+1}, and thus Lorentz invariance, in the finite N matrix theory (DLCQ of
M-theory) on d-tori: (1) We generalize the analysis of U-duality orbits of BPS
states by Elitzur et al. (hep-th/9707217) from E_{d} to E_{d+1}. (2) We
identify the new E_{d+1}-symmetries with Nahm-duality-like symmetries
(N-duality) exchanging the rank N of the matrix theory gauge group with other
quantum numbers. (3) We describe the action of N-duality on BPS bound states,
thus making testable predictions for the Lorentz invariance of matrix theory.
(4) We discuss the problems that arise in the matrix theory limit for BPS
states with no top-dimensional branes, i.e. configurations with N=0. (5) We
show that N-duality maps the matrix theory SYM picture to the matrix string
picture and argue that, for d even, the latter should be thought of as an
M-theory membrane description (which appears to be well defined even for d>5).
(6) We find a compact and unified expression for a U-duality invariant of
E_{d+1} for all d and show that in d=5,6 it reduces to the black hole entropy
cubic E_{6}- and quartic E_{7}-invariants respectively. (7) We describe some of
the solitonic states in d=6,7 and give an example (a `rolled-up' Taub-NUT
6-brane) of a configuration exhibiting the unusual 1/g_{s}^{3}-behaviour.
|
[
{
"created": "Thu, 4 Dec 1997 19:34:08 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Blau",
"Matthias",
""
],
[
"O'Loughlin",
"Martin",
""
]
] |
We explore various aspects of implementing the full M-theory U-duality group E_{d+1}, and thus Lorentz invariance, in the finite N matrix theory (DLCQ of M-theory) on d-tori: (1) We generalize the analysis of U-duality orbits of BPS states by Elitzur et al. (hep-th/9707217) from E_{d} to E_{d+1}. (2) We identify the new E_{d+1}-symmetries with Nahm-duality-like symmetries (N-duality) exchanging the rank N of the matrix theory gauge group with other quantum numbers. (3) We describe the action of N-duality on BPS bound states, thus making testable predictions for the Lorentz invariance of matrix theory. (4) We discuss the problems that arise in the matrix theory limit for BPS states with no top-dimensional branes, i.e. configurations with N=0. (5) We show that N-duality maps the matrix theory SYM picture to the matrix string picture and argue that, for d even, the latter should be thought of as an M-theory membrane description (which appears to be well defined even for d>5). (6) We find a compact and unified expression for a U-duality invariant of E_{d+1} for all d and show that in d=5,6 it reduces to the black hole entropy cubic E_{6}- and quartic E_{7}-invariants respectively. (7) We describe some of the solitonic states in d=6,7 and give an example (a `rolled-up' Taub-NUT 6-brane) of a configuration exhibiting the unusual 1/g_{s}^{3}-behaviour.
|
2404.15056
|
Robin Karlsson
|
Hao Chen, Robin Karlsson, Alexander Zhiboedov
|
Energy correlations and Planckian collisions
|
75 pages, 6 figures
| null | null |
CERN-TH-2024-050
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Energy correlations characterize the energy flux through detectors at
infinity produced in a collision event. Remarkably, in holographic conformal
field theories, they probe high-energy gravitational scattering in the dual
anti-de Sitter geometry. We use known properties of high-energy gravitational
scattering and its unitarization to explore the leading quantum-gravity
correction to the energy-energy correlator at strong coupling. We find that it
includes a part originating from large impact parameter scattering that is
non-analytic in the angle between detectors and is $\log N_c$ enhanced compared
to the standard $1/N_c$ perturbative expansion. It is sensitive to the full
bulk geometry, including the internal manifold, providing a refined probe of
the emergent holographic spacetime. Similarly, scattering at small impact
parameters leads to contributions that are further enhanced by extra powers of
the 't Hooft coupling assuming it is corrected by stringy effects. We conclude
that energy correlations are sensitive to the UV properties of the dual
gravitational theory and thus provide a promising target for the conformal
bootstrap.
|
[
{
"created": "Tue, 23 Apr 2024 13:58:06 GMT",
"version": "v1"
}
] |
2024-04-24
|
[
[
"Chen",
"Hao",
""
],
[
"Karlsson",
"Robin",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] |
Energy correlations characterize the energy flux through detectors at infinity produced in a collision event. Remarkably, in holographic conformal field theories, they probe high-energy gravitational scattering in the dual anti-de Sitter geometry. We use known properties of high-energy gravitational scattering and its unitarization to explore the leading quantum-gravity correction to the energy-energy correlator at strong coupling. We find that it includes a part originating from large impact parameter scattering that is non-analytic in the angle between detectors and is $\log N_c$ enhanced compared to the standard $1/N_c$ perturbative expansion. It is sensitive to the full bulk geometry, including the internal manifold, providing a refined probe of the emergent holographic spacetime. Similarly, scattering at small impact parameters leads to contributions that are further enhanced by extra powers of the 't Hooft coupling assuming it is corrected by stringy effects. We conclude that energy correlations are sensitive to the UV properties of the dual gravitational theory and thus provide a promising target for the conformal bootstrap.
|
1210.4037
|
Giulio D'Odorico
|
A. Codello and G. D'Odorico
|
O(N)-Universality Classes and the Mermin-Wagner Theorem
|
5 pages, 5 figures; accepted for publication in PRL
|
Phys.Rev.Lett. 110 (2013) 141601
|
10.1103/PhysRevLett.110.141601
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study how universality classes of O(N)-symmetric models depend
continuously on the dimension d and the number of field components N. We
observe, from a renormalization group perspective, how the implications of the
Mermin-Wagner-Hohenberg theorem set in as we gradually deform theory space
towards d=2. For fractal dimension in the range 2<d<3 we observe, for any N
bigger than or equal to 1, a finite family of multi-critical effective
potentials of increasing order. Apart for the N=1 case, these disappear in d=2
consistently with the Mermin-Wagner-Hohenberg theorem. Finally, we study
O(N=0)-universality classes and find an infinite family of these in two
dimensions.
|
[
{
"created": "Mon, 15 Oct 2012 13:56:48 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2013 13:57:32 GMT",
"version": "v2"
}
] |
2015-03-18
|
[
[
"Codello",
"A.",
""
],
[
"D'Odorico",
"G.",
""
]
] |
We study how universality classes of O(N)-symmetric models depend continuously on the dimension d and the number of field components N. We observe, from a renormalization group perspective, how the implications of the Mermin-Wagner-Hohenberg theorem set in as we gradually deform theory space towards d=2. For fractal dimension in the range 2<d<3 we observe, for any N bigger than or equal to 1, a finite family of multi-critical effective potentials of increasing order. Apart for the N=1 case, these disappear in d=2 consistently with the Mermin-Wagner-Hohenberg theorem. Finally, we study O(N=0)-universality classes and find an infinite family of these in two dimensions.
|
hep-th/0103265
|
Ioannis Giannakis
|
Ioannis Giannakis and Hai-cang Ren
|
Linearized Gravity in Isotropic Coordinates in the Brane World
|
13 pages, plain Tex
|
Phys.Rev. D64 (2001) 065015
|
10.1103/PhysRevD.64.065015
|
RU01-05-B
|
hep-th
| null |
We solve the Einstein equations in the Randall-Sundrum framework using an
isotropic ansatz for the metric and obtain an exact expression to first order
in the gravitational coupling. The solution is free from metric singularities
away from the source and it satisfies the Israel matching condition on a
straight brane. At distances far away from the source and on the physical brane
this solution coincides with the 4-D Schwarzschild metric in isotropic
coordinates. Furthermore we show that the extension of the standard
Schwarzschild horizon in the bulk is tubular for any diagonal form of the
metric while there is no restriction for the extension of the Schwarzschild
horizon in isotropic coordinates.
|
[
{
"created": "Fri, 30 Mar 2001 19:27:40 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Giannakis",
"Ioannis",
""
],
[
"Ren",
"Hai-cang",
""
]
] |
We solve the Einstein equations in the Randall-Sundrum framework using an isotropic ansatz for the metric and obtain an exact expression to first order in the gravitational coupling. The solution is free from metric singularities away from the source and it satisfies the Israel matching condition on a straight brane. At distances far away from the source and on the physical brane this solution coincides with the 4-D Schwarzschild metric in isotropic coordinates. Furthermore we show that the extension of the standard Schwarzschild horizon in the bulk is tubular for any diagonal form of the metric while there is no restriction for the extension of the Schwarzschild horizon in isotropic coordinates.
|
hep-th/9403053
|
Laurent Freidel
|
Daniel Altschuler and Laurent Freidel
|
On Universal Vassiliev Invariants
|
33 pages
|
Commun.Math.Phys. 170 (1995) 41-62
|
10.1007/BF02099438
|
ENSLAPP-L-455/94; ETH-TH/94-07
|
hep-th math.QA
| null |
Using properties of ordered exponentials and the definition of the Drinfeld
associator as a monodromy operator for the Knizhnik-Zamolodchikov equations, we
prove that the analytic and the combinatorial definitions of the universal
Vassiliev invariants of links are equivalent.
|
[
{
"created": "Tue, 8 Mar 1994 18:22:52 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Altschuler",
"Daniel",
""
],
[
"Freidel",
"Laurent",
""
]
] |
Using properties of ordered exponentials and the definition of the Drinfeld associator as a monodromy operator for the Knizhnik-Zamolodchikov equations, we prove that the analytic and the combinatorial definitions of the universal Vassiliev invariants of links are equivalent.
|
hep-th/9112016
|
Theor. department Fian
|
A.M.Semikhatov
|
Virasoro Action and Virasoro Constraints on Integrable Hierarchies of
the $r$-Matrix Type
|
24 pages
| null | null | null |
hep-th
| null |
For a large class of hierarchies of integrable equations admitting a
classical $r-$matrix, we propose a construction for the Virasoro algebra
actionon the Lax operators which commutes with the hierarchy flows. The
construction relies on the existence of dressing transformations associated to
the $r$-matrix and does not involve the notion of a tau function. The
dressing-operator form of the Virasoro action gives the corresponding
formulation of the Virasoro constraints on hierarchies of the $r-$matrix type.
We apply the general construction to several examples which include KP, Toda
and generalized KdV hierarchies, the latter both in scalar and the
Drinfeld-Sokolov formalisms. We prove the consistency of Virasoro action on the
scalar and matrix (Drinfeld-Sokolov) Lax operators, and make an observation on
the difference in the form of string equations in the two formalisms.
|
[
{
"created": "Fri, 6 Dec 1991 14:05:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Semikhatov",
"A. M.",
""
]
] |
For a large class of hierarchies of integrable equations admitting a classical $r-$matrix, we propose a construction for the Virasoro algebra actionon the Lax operators which commutes with the hierarchy flows. The construction relies on the existence of dressing transformations associated to the $r$-matrix and does not involve the notion of a tau function. The dressing-operator form of the Virasoro action gives the corresponding formulation of the Virasoro constraints on hierarchies of the $r-$matrix type. We apply the general construction to several examples which include KP, Toda and generalized KdV hierarchies, the latter both in scalar and the Drinfeld-Sokolov formalisms. We prove the consistency of Virasoro action on the scalar and matrix (Drinfeld-Sokolov) Lax operators, and make an observation on the difference in the form of string equations in the two formalisms.
|
2011.00006
|
Christoph Uhlemann
|
Martin Fluder, Christoph F. Uhlemann
|
Evidence for a 5d F-theorem
|
33 pages, 7 figures; v2: JHEP version, updated references
| null |
10.1007/JHEP02(2021)192
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Renormalization group flows are studied between 5d SCFTs engineered by
$(p,q)$ 5-brane webs with large numbers of external 5-branes. A general
expression for the free energy on $S^5$ in terms of single-valued trilogarithm
functions is derived from their supergravity duals, which are characterized by
the 5-brane charges and additional geometric parameters. The additional
geometric parameters are fixed by regularity conditions, and we show that the
solutions to the regularity conditions extremize a trial free energy. These
results are used to survey a large sample of $\mathcal O(10^5)$ renormalization
group flows between different 5d SCFTs, including Higgs branch flows and flows
that preserve the $SU(2)$ $R$-symmetry. In all cases the free energy changes
monotonically towards the infrared, in line with a 5d $F$-theorem.
|
[
{
"created": "Fri, 30 Oct 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2021 23:10:46 GMT",
"version": "v2"
}
] |
2021-06-03
|
[
[
"Fluder",
"Martin",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
Renormalization group flows are studied between 5d SCFTs engineered by $(p,q)$ 5-brane webs with large numbers of external 5-branes. A general expression for the free energy on $S^5$ in terms of single-valued trilogarithm functions is derived from their supergravity duals, which are characterized by the 5-brane charges and additional geometric parameters. The additional geometric parameters are fixed by regularity conditions, and we show that the solutions to the regularity conditions extremize a trial free energy. These results are used to survey a large sample of $\mathcal O(10^5)$ renormalization group flows between different 5d SCFTs, including Higgs branch flows and flows that preserve the $SU(2)$ $R$-symmetry. In all cases the free energy changes monotonically towards the infrared, in line with a 5d $F$-theorem.
|
1406.1337
|
Yuhma Asano
|
Yuhma Asano, Goro Ishiki, Shinji Shimasaki
|
Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
|
29 pages, 3 figures; v2: typos corrected and a reference added
| null |
10.1007/JHEP09(2014)137
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the gauge/gravity duality between bubbling geometries in type IIA
supergravity and gauge theories with SU(2|4) symmetry, which consist of N=4
super Yang-Mills on $R\times S^3/Z_k$, N=8 super Yang-Mills on $R\times S^2$
and the plane wave matrix model. We show that the geometries are realized as
field configurations in the strong coupling region of the gauge theories. On
the gravity side, the bubbling geometries can be mapped to electrostatic
systems with conducting disks. We derive integral equations which determine the
charge densities on the disks. On the gauge theory side, we obtain a matrix
integral by applying the localization to a 1/4-BPS sector of the gauge
theories. The eigenvalue densities of the matrix integral turn out to satisfy
the same integral equations as the charge densities on the gravity side. Thus
we find that these two objects are equivalent.
|
[
{
"created": "Thu, 5 Jun 2014 11:13:36 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jul 2014 20:02:21 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Asano",
"Yuhma",
""
],
[
"Ishiki",
"Goro",
""
],
[
"Shimasaki",
"Shinji",
""
]
] |
We study the gauge/gravity duality between bubbling geometries in type IIA supergravity and gauge theories with SU(2|4) symmetry, which consist of N=4 super Yang-Mills on $R\times S^3/Z_k$, N=8 super Yang-Mills on $R\times S^2$ and the plane wave matrix model. We show that the geometries are realized as field configurations in the strong coupling region of the gauge theories. On the gravity side, the bubbling geometries can be mapped to electrostatic systems with conducting disks. We derive integral equations which determine the charge densities on the disks. On the gauge theory side, we obtain a matrix integral by applying the localization to a 1/4-BPS sector of the gauge theories. The eigenvalue densities of the matrix integral turn out to satisfy the same integral equations as the charge densities on the gravity side. Thus we find that these two objects are equivalent.
|
hep-th/0110129
|
Gabriele Veneziano
|
G. Veneziano
|
Large-N bounds on, and compositeness limit of, gauge and gravitational
interactions
|
8 pages, Latex, minor modifications in notations and references
|
JHEP 0206 (2002) 051
|
10.1088/1126-6708/2002/06/051
|
CERN-TH/2001-278
|
hep-th
| null |
In a toy model of gauge and gravitational interactions in $D \ge 4$
dimensions, endowed with an invariant UV cut-off $\Lambda$, and containing a
large number $N$ of non-self-interacting matter species, the physical gauge and
gravitational couplings at the cut-off, $\alpha_g \equiv g^2 \Lambda^{D-4}$ and
$\alpha_G \equiv G_N \Lambda^{D-2}$, are shown to be bounded by appropriate
powers of ${1\over N}$. This implies that the infinite-bare-coupling (so-called
compositeness) limit of these theories is smooth, and can even resemble our
world. We argue that such a result, when extended to more realistic situations,
can help avoid large-N violations of entropy bounds, solve the dilaton
stabilization and GUT-scale problems in superstring theory, and provide a new
possible candidate for quintessence.
|
[
{
"created": "Mon, 15 Oct 2001 15:58:32 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2002 15:36:31 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Veneziano",
"G.",
""
]
] |
In a toy model of gauge and gravitational interactions in $D \ge 4$ dimensions, endowed with an invariant UV cut-off $\Lambda$, and containing a large number $N$ of non-self-interacting matter species, the physical gauge and gravitational couplings at the cut-off, $\alpha_g \equiv g^2 \Lambda^{D-4}$ and $\alpha_G \equiv G_N \Lambda^{D-2}$, are shown to be bounded by appropriate powers of ${1\over N}$. This implies that the infinite-bare-coupling (so-called compositeness) limit of these theories is smooth, and can even resemble our world. We argue that such a result, when extended to more realistic situations, can help avoid large-N violations of entropy bounds, solve the dilaton stabilization and GUT-scale problems in superstring theory, and provide a new possible candidate for quintessence.
|
1906.10149
|
Tomasz Taylor
|
Angelos Fotopoulos and Tomasz R. Taylor
|
Primary Fields in Celestial CFT
|
9 pages. v2: replaced to match JHEP
| null |
10.1007/JHEP10(2019)167
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The basic ingredient of CCFT holography is to regard four-dimensional
amplitudes describing conformal wave packets as two-dimensional conformal
correlation functions of the operators associated to external particles. By
construction, these operators transform as quasi-primary fields under SL(2,C)
conformal symmetry group of the celestial sphere. We derive the OPE of the CCFT
energy-momentum tensor with the operators representing gauge bosons and show
that they transform as Virasoro primaries under diffeomorphisms of the
celestial sphere.
|
[
{
"created": "Mon, 24 Jun 2019 18:01:12 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Nov 2019 21:55:02 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Fotopoulos",
"Angelos",
""
],
[
"Taylor",
"Tomasz R.",
""
]
] |
The basic ingredient of CCFT holography is to regard four-dimensional amplitudes describing conformal wave packets as two-dimensional conformal correlation functions of the operators associated to external particles. By construction, these operators transform as quasi-primary fields under SL(2,C) conformal symmetry group of the celestial sphere. We derive the OPE of the CCFT energy-momentum tensor with the operators representing gauge bosons and show that they transform as Virasoro primaries under diffeomorphisms of the celestial sphere.
|
hep-th/9208075
|
G. Weigt
|
Gerhard Weigt
|
Canonical Quantization of the Liouville Theory, Quantum Group
Structures, and Correlation Functions
|
12 pages, talk
| null | null | null |
hep-th
| null |
We describe a self-consistent canonical quantization of Liouville theory in
terms of canonical free fields. In order to keep the non-linear Liouville
dynamics, we use the solution of the Liouville equation as a canonical
transformation. This also defines a Liouville vertex operator. We show, in
particular, that a canonical quantized conformal and local quantum Liouville
theory has a quantum group structure, and we discuss correlation functions for
non-critical strings.
|
[
{
"created": "Fri, 28 Aug 1992 16:23:55 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 1993 18:17:14 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Weigt",
"Gerhard",
""
]
] |
We describe a self-consistent canonical quantization of Liouville theory in terms of canonical free fields. In order to keep the non-linear Liouville dynamics, we use the solution of the Liouville equation as a canonical transformation. This also defines a Liouville vertex operator. We show, in particular, that a canonical quantized conformal and local quantum Liouville theory has a quantum group structure, and we discuss correlation functions for non-critical strings.
|
1206.3936
|
Davide Campagnari
|
Jan Heffner, Hugo Reinhardt, Davide R. Campagnari
|
The deconfinement phase transition in the Hamiltonian approach to
Yang--Mills theory in Coulomb gauge
|
20 pages, 13 figures, accepted for publication by Phys. Rev. D
| null |
10.1103/PhysRevD.85.125029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The deconfinement phase transition of SU(2) Yang--Mills theory is
investigated in the Hamiltonian approach in Coulomb gauge assuming a
quasi-particle picture for the grand canonical gluon ensemble. The thermal
equilibrium state is found by minimizing the free energy with respect to the
quasi-gluon energy. Above the deconfinement phase transition the ghost form
factor remains infrared divergent but its infrared exponent is approximately
halved, while the gluon energy, being infrared divergent in the confined phase,
becomes infrared finite in the deconfined phase. For the effective gluon mass
we find a critical exponent of 0.37. Using the lattice results for the gluon
propagator to fix the scale, the deconfinement transition temperature is
obtained in the range of 275 to 290 MeV.
|
[
{
"created": "Mon, 18 Jun 2012 13:53:55 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Heffner",
"Jan",
""
],
[
"Reinhardt",
"Hugo",
""
],
[
"Campagnari",
"Davide R.",
""
]
] |
The deconfinement phase transition of SU(2) Yang--Mills theory is investigated in the Hamiltonian approach in Coulomb gauge assuming a quasi-particle picture for the grand canonical gluon ensemble. The thermal equilibrium state is found by minimizing the free energy with respect to the quasi-gluon energy. Above the deconfinement phase transition the ghost form factor remains infrared divergent but its infrared exponent is approximately halved, while the gluon energy, being infrared divergent in the confined phase, becomes infrared finite in the deconfined phase. For the effective gluon mass we find a critical exponent of 0.37. Using the lattice results for the gluon propagator to fix the scale, the deconfinement transition temperature is obtained in the range of 275 to 290 MeV.
|
1609.07341
|
Alexis Roa Aguirre
|
A.R. Aguirre and G. Flores-Hidalgo
|
A supersymmetric exotic field theory in (1+1) dimensions. One loop
soliton quantum mass corrections
|
16 pages, 8 figures; Major modifications included to match version
published in JHEP
|
JHEP12(2018)082
|
10.1007/JHEP12(2018)082
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider one loop quantum corrections to soliton mass for the ${\cal N}=1$
supersymmetric extension of the (1+1)-dimensional scalar field theory with the
potential $U(\phi) = \phi^2 \cos^2\left(\ln \phi^2\right)$. First, we compute
the one loop quantum soliton mass correction of the bosonic sector. To do that,
we regularize implicitly such quantity by subtracting and adding its
corresponding tadpole graph contribution, and use the renormalization
prescription that the added term vanishes with the corresponding counterterms.
As a result we get a finite unambiguous formula for the soliton quantum mass
corrections up to one loop order. Afterwards, the computation for the
supersymmetric case is extended straightforwardly and we obtain for the one
loop quantum correction of the SUSY kink mass the expected value previously
derived for the SUSY sine-Gordon and $\phi^4$ models. However, we also have
found that for a particular value of the parameters, contrary to what was
expected, the introduction of supersymmetry in this model worsens ultraviolet
divergences rather than improving them.
|
[
{
"created": "Fri, 23 Sep 2016 12:49:32 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2018 21:58:17 GMT",
"version": "v2"
}
] |
2018-12-19
|
[
[
"Aguirre",
"A. R.",
""
],
[
"Flores-Hidalgo",
"G.",
""
]
] |
We consider one loop quantum corrections to soliton mass for the ${\cal N}=1$ supersymmetric extension of the (1+1)-dimensional scalar field theory with the potential $U(\phi) = \phi^2 \cos^2\left(\ln \phi^2\right)$. First, we compute the one loop quantum soliton mass correction of the bosonic sector. To do that, we regularize implicitly such quantity by subtracting and adding its corresponding tadpole graph contribution, and use the renormalization prescription that the added term vanishes with the corresponding counterterms. As a result we get a finite unambiguous formula for the soliton quantum mass corrections up to one loop order. Afterwards, the computation for the supersymmetric case is extended straightforwardly and we obtain for the one loop quantum correction of the SUSY kink mass the expected value previously derived for the SUSY sine-Gordon and $\phi^4$ models. However, we also have found that for a particular value of the parameters, contrary to what was expected, the introduction of supersymmetry in this model worsens ultraviolet divergences rather than improving them.
|
hep-th/0203009
|
Hironobu Kataoka
|
H. Kataoka and Hikaru Sato
|
Crosscap states and Boundary states in D=4,N=1,type-IIB Orientifold
Theories
|
11 pages
| null | null |
HUE-02/1
|
hep-th
| null |
We construct boundary state and crosscap state in D=4,N=1 type-IIB Z_N
orientifold and investigate properties of amplitude. We find that the boundary
state of a cylinder is different from the boundary state of a M\"{o}bius strip.
Using these states, we find that amplitudes do not factorize in Z_N(N=even)
orientifold. Tadpole divergence remain in Z_4, Z_8, Z'_8 and Z'_{12} model due
to volume dependence of boundary and crosscap state. On the other hand the
amplitude of Z_3 and Z_7 orientifolds factorize so that we obtain the gauge
groups of the model by employing the massless tadpole cancellation condition.
|
[
{
"created": "Fri, 1 Mar 2002 10:47:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kataoka",
"H.",
""
],
[
"Sato",
"Hikaru",
""
]
] |
We construct boundary state and crosscap state in D=4,N=1 type-IIB Z_N orientifold and investigate properties of amplitude. We find that the boundary state of a cylinder is different from the boundary state of a M\"{o}bius strip. Using these states, we find that amplitudes do not factorize in Z_N(N=even) orientifold. Tadpole divergence remain in Z_4, Z_8, Z'_8 and Z'_{12} model due to volume dependence of boundary and crosscap state. On the other hand the amplitude of Z_3 and Z_7 orientifolds factorize so that we obtain the gauge groups of the model by employing the massless tadpole cancellation condition.
|
hep-th/9606027
|
Devchand Chandrashekar
|
Ch. Devchand and V. Ogievetsky
|
Interacting Fields of Arbitrary Spin and N>4 Supersymmetric Self-dual
Yang-Mills Equations
|
25 pages, latex file
|
Nucl.Phys.B481:188-214,1996
|
10.1016/S0550-3213(96)90129-7
|
IC/96/88
|
hep-th
| null |
We show that the self-dual Yang-Mills equations afford supersymmetrisation to
systems of equations invariant under global N-extended super-Poincar\'e
transformations for arbitrary values of N, without the limitation (N\le 4)
applicable to standard non-self-dual Yang-Mills theories. These systems of
equations provide novel classically consistent interactions for vector
supermultiplets containing fields of spin up to (N-2)/2. The equations of
motion for the component fields of spin greater than 1/2 are interacting
variants of the first-order Dirac--Fierz equations for zero rest-mass fields of
arbitrary spin. The interactions are governed by conserved currents which are
constructed by an iterative procedure. In (arbitrarily extended) chiral
superspace, the equations of motion for the (arbitrarily large) self-dual
supermultiplet are shown to be completely equivalent to the set of algebraic
supercurvature constraints defining the self-dual superconnection.
|
[
{
"created": "Thu, 6 Jun 1996 09:55:16 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Devchand",
"Ch.",
""
],
[
"Ogievetsky",
"V.",
""
]
] |
We show that the self-dual Yang-Mills equations afford supersymmetrisation to systems of equations invariant under global N-extended super-Poincar\'e transformations for arbitrary values of N, without the limitation (N\le 4) applicable to standard non-self-dual Yang-Mills theories. These systems of equations provide novel classically consistent interactions for vector supermultiplets containing fields of spin up to (N-2)/2. The equations of motion for the component fields of spin greater than 1/2 are interacting variants of the first-order Dirac--Fierz equations for zero rest-mass fields of arbitrary spin. The interactions are governed by conserved currents which are constructed by an iterative procedure. In (arbitrarily extended) chiral superspace, the equations of motion for the (arbitrarily large) self-dual supermultiplet are shown to be completely equivalent to the set of algebraic supercurvature constraints defining the self-dual superconnection.
|
1104.3873
|
Robert Schabinger
|
Robert M. Schabinger
|
One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions,
relation to open strings and polygonal Wilson loops
|
72 pages, 4 figures. Invited review to appear in "Scattering
Amplitudes in Gauge Theories," special issue of Journal of Physics A, R.
Roiban (ed), M. Spradlin (ed), A. Volovich (ed); v3 matches the final,
published version of this article apart from a missing equation number (90).
Please note the change of title
| null |
10.1088/1751-8113/44/45/454007
|
IFT-UAM/CSIC-11-22
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this review we discuss some recent developments related to one-loop N = 4
super Yang-Mills scattering amplitudes calculated to all orders in epsilon. It
is often the case that one-loop gauge theory computations are carried out to
order epsilon^0, since higher order in epsilon contributions vanish in the
limit as epsilon goes to zero. We will show, however, that the higher order
contributions are actually quite useful. In the context of maximally
supersymmetric Yang-Mills, we consider two examples in detail to illustrate our
point. First we concentrate on computations with gluonic external states and
argue that N = 4 supersymmetry implies a simple relation between
all-orders-in-epsilon one-loop N = 4 super Yang-Mills amplitudes and the first
and second stringy corrections to analogous tree-level superstring amplitudes.
For our second example we will derive a new result for the
all-orders-in-epsilon one-loop superamplitude for planar six-particle NMHV
scattering, an object which allows one to easily obtain six-point NMHV
amplitudes with arbitrary external states. We will then discuss the relevance
of this computation to the evaluation of the ratio of the planar two-loop
six-point NMHV superamplitude to the planar two-loop six-point MHV
superamplitude, a quantity which is expected to have remarkable properties and
has been the subject of much recent investigation.
|
[
{
"created": "Tue, 19 Apr 2011 20:22:47 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Nov 2011 18:15:25 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Jan 2015 14:22:10 GMT",
"version": "v3"
}
] |
2015-05-27
|
[
[
"Schabinger",
"Robert M.",
""
]
] |
In this review we discuss some recent developments related to one-loop N = 4 super Yang-Mills scattering amplitudes calculated to all orders in epsilon. It is often the case that one-loop gauge theory computations are carried out to order epsilon^0, since higher order in epsilon contributions vanish in the limit as epsilon goes to zero. We will show, however, that the higher order contributions are actually quite useful. In the context of maximally supersymmetric Yang-Mills, we consider two examples in detail to illustrate our point. First we concentrate on computations with gluonic external states and argue that N = 4 supersymmetry implies a simple relation between all-orders-in-epsilon one-loop N = 4 super Yang-Mills amplitudes and the first and second stringy corrections to analogous tree-level superstring amplitudes. For our second example we will derive a new result for the all-orders-in-epsilon one-loop superamplitude for planar six-particle NMHV scattering, an object which allows one to easily obtain six-point NMHV amplitudes with arbitrary external states. We will then discuss the relevance of this computation to the evaluation of the ratio of the planar two-loop six-point NMHV superamplitude to the planar two-loop six-point MHV superamplitude, a quantity which is expected to have remarkable properties and has been the subject of much recent investigation.
|
hep-th/9606192
|
Adel Bilal
|
Adel Bilal (ENS)
|
Discontinuous BPS Spectra in N=2 Susy QCD
|
10 pages, Latex, Talk given at SUSY'96, College Park, MD, June 1996
|
Nucl.Phys.Proc.Suppl.52A:305-313,1997
|
10.1016/S0920-5632(96)00582-8
|
LPTENS-96/41
|
hep-th
| null |
These notes are based on work done in collaboration with Frank Ferrari. We
show how to determine the spectra of stable BPS states in $N=2$ supersymmetric
$SU(2)$ Yang-Mills theories that are asymptotically free, i.e. without and with
$N_f=1,2,3$ quark hypermultiplets. In all cases: $\bullet$ There is a curve of
marginal stability diffeomorphic to a circle and going through all (finite)
singular points of moduli space. $\bullet$ The BPS spectra are discontinuous
across these curves. $\bullet$ The strong-coupling spectra (inside the curves)
contain only those BPS states that can become massless and are responsible for
the singularities. Except for $N_f=3$, they form a multiplet (with different
masses) of the broken global discrete symmetry. $\bullet$ All other
semi-classical BPS states must and do decay consistently when crossing the
curves. $\bullet$ The weak-coupling, i.e. semi-classical BPS spectra, contain
no magnetic charges larger than one for $N_f=0,1,2$ and no magnetic charges
larger than two for $N_f=3$.
|
[
{
"created": "Fri, 28 Jun 1996 16:22:43 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bilal",
"Adel",
"",
"ENS"
]
] |
These notes are based on work done in collaboration with Frank Ferrari. We show how to determine the spectra of stable BPS states in $N=2$ supersymmetric $SU(2)$ Yang-Mills theories that are asymptotically free, i.e. without and with $N_f=1,2,3$ quark hypermultiplets. In all cases: $\bullet$ There is a curve of marginal stability diffeomorphic to a circle and going through all (finite) singular points of moduli space. $\bullet$ The BPS spectra are discontinuous across these curves. $\bullet$ The strong-coupling spectra (inside the curves) contain only those BPS states that can become massless and are responsible for the singularities. Except for $N_f=3$, they form a multiplet (with different masses) of the broken global discrete symmetry. $\bullet$ All other semi-classical BPS states must and do decay consistently when crossing the curves. $\bullet$ The weak-coupling, i.e. semi-classical BPS spectra, contain no magnetic charges larger than one for $N_f=0,1,2$ and no magnetic charges larger than two for $N_f=3$.
|
hep-th/9906206
|
Elias Kiritsis
|
E. Kiritsis (University of Crete)
|
Supergravity, D-brane Probes and thermal super Yang-Mills: a comparison
|
LaTeX, 23 pages, 4 eps figures; v2: Comparison with
Tseytlin-Yankielowicz ammended. Extra discussion on reduced supersymmetry on
branes added; v3: A few minor changes to improve presentation. Version
published in JHEP10(1999)10
|
JHEP 9910:010,1999
|
10.1088/1126-6708/1999/10/010
| null |
hep-th gr-qc hep-ph
| null |
A D3-brane probe in the context of AdS/CFT correspondence at finite
temperature is considered. The supergravity predictions for the physical
effective couplings of the world-volume gauge theory of the probe brane are
compared to those calculated in one-loop perturbation theory in the thermal
gauge theory. It is argued that when the Higgs expectation value is much larger
than the temperature, the supergravity result must agree with perturbative
thermal Yang-Mills. This provides a perturbative test of the Maldacena
conjecture. Predictions for the running electric and magnetic effective
couplings, beyond perturbation theory are also obtained. Phenomenological
applications for universe-branes are discussed. In particular mechanisms are
suggested for reducing the induced cosmological constant and naturally
obtaining a varying speed of light and a consequent inflation on the universe
brane.
|
[
{
"created": "Sat, 26 Jun 1999 14:35:50 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 1999 13:51:57 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Oct 1999 16:45:20 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Kiritsis",
"E.",
"",
"University of Crete"
]
] |
A D3-brane probe in the context of AdS/CFT correspondence at finite temperature is considered. The supergravity predictions for the physical effective couplings of the world-volume gauge theory of the probe brane are compared to those calculated in one-loop perturbation theory in the thermal gauge theory. It is argued that when the Higgs expectation value is much larger than the temperature, the supergravity result must agree with perturbative thermal Yang-Mills. This provides a perturbative test of the Maldacena conjecture. Predictions for the running electric and magnetic effective couplings, beyond perturbation theory are also obtained. Phenomenological applications for universe-branes are discussed. In particular mechanisms are suggested for reducing the induced cosmological constant and naturally obtaining a varying speed of light and a consequent inflation on the universe brane.
|
hep-th/0012146
|
Dirk Kreimer
|
D.J.Broadhurst and D.Kreimer
|
Exact solutions of Dyson-Schwinger equations for iterated one-loop
integrals and propagator-coupling duality
|
20p, 2 epsf fig
|
Nucl.Phys. B600 (2001) 403-422
|
10.1016/S0550-3213(01)00071-2
|
MZ-TH/00-28
|
hep-th hep-ph math.QA
| null |
The Hopf algebra of undecorated rooted trees has tamed the combinatorics of
perturbative contributions, to anomalous dimensions in Yukawa theory and scalar
$\phi^3$ theory, from all nestings and chainings of a primitive self-energy
subdivergence. Here we formulate the nonperturbative problems which these
resummations approximate. For Yukawa theory, at spacetime dimension $d=4$, we
obtain an integrodifferential Dyson-Schwinger equation and solve it
parametrically in terms of the complementary error function. For the scalar
theory, at $d=6$, the nonperturbative problem is more severe; we transform it
to a nonlinear fourth-order differential equation. After intensive use of
symbolic computation we find an algorithm that extends both perturbation series
to 500 loops in 7 minutes. Finally, we establish the propagator-coupling
duality underlying these achievements making use of the Hopf structure of
Feynman diagrams.
|
[
{
"created": "Sun, 17 Dec 2000 16:20:00 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Broadhurst",
"D. J.",
""
],
[
"Kreimer",
"D.",
""
]
] |
The Hopf algebra of undecorated rooted trees has tamed the combinatorics of perturbative contributions, to anomalous dimensions in Yukawa theory and scalar $\phi^3$ theory, from all nestings and chainings of a primitive self-energy subdivergence. Here we formulate the nonperturbative problems which these resummations approximate. For Yukawa theory, at spacetime dimension $d=4$, we obtain an integrodifferential Dyson-Schwinger equation and solve it parametrically in terms of the complementary error function. For the scalar theory, at $d=6$, the nonperturbative problem is more severe; we transform it to a nonlinear fourth-order differential equation. After intensive use of symbolic computation we find an algorithm that extends both perturbation series to 500 loops in 7 minutes. Finally, we establish the propagator-coupling duality underlying these achievements making use of the Hopf structure of Feynman diagrams.
|
hep-th/9901039
|
John M. Cornwall
|
John M. Cornwall (Department of Physics, UCLA)
|
Center Vortices, Nexuses, and the Georgi-Glashow Model
|
27 pages, LaTeX, 3 .eps figures
|
Phys.Rev. D59 (1999) 125015
|
10.1103/PhysRevD.59.125015
|
UCLA/98/TEP/37
|
hep-th
| null |
In a gauge theory with no Higgs fields the mechanism for confinement is by
center vortices, but in theories with adjoint Higgs fields and generic symmetry
breaking, such as the Georgi-Glashow model, Polyakov showed that in d=3
confinement arises via a condensate of 't Hooft-Polyakov monopoles. We study
the connection in d=3 between pure-gauge theory and the theory with adjoint
Higgs by varying the Higgs VEV v. As one lowers v from the Polyakov semi-
classical regime v>>g (g is the gauge coupling) toward zero, where the unbroken
theory lies, one encounters effects associated with the unbroken theory at a
finite value v\sim g, where dynamical mass generation of a gauge-symmetric
gauge- boson mass m\sim g^2 takes place, in addition to the Higgs-generated
non-symmetric mass M\sim vg. This dynamical mass generation is forced by the
infrared instability (in both 3 and 4 dimensions) of the pure-gauge theory. We
construct solitonic configurations of the theory with both m,M non-zero which
are generically closed loops consisting of nexuses (a class of soliton recently
studied for the pure-gauge theory), each paired with an antinexus, sitting like
beads on a string of center vortices with vortex fields always pointing into
(out of) a nexus (antinexus); the vortex magnetic fields extend a transverse
distance 1/m. An isolated nexus with vortices is continuously deformable from
the 't Hooft-Polyakov (m=0) monopole to the pure-gauge nexus-vortex complex
(M=0). In the pure-gauge M=0 limit the homotopy $\Pi_2(SU(2)/U(1))=Z_2$ (or its
analog for SU(N)) of the 't Hooft monopoles is no longer applicable, and is
replaced by the center-vortex homotopy $\Pi_1(SU)N)/Z_N)=Z_N$.
|
[
{
"created": "Mon, 11 Jan 1999 21:18:01 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Cornwall",
"John M.",
"",
"Department of Physics, UCLA"
]
] |
In a gauge theory with no Higgs fields the mechanism for confinement is by center vortices, but in theories with adjoint Higgs fields and generic symmetry breaking, such as the Georgi-Glashow model, Polyakov showed that in d=3 confinement arises via a condensate of 't Hooft-Polyakov monopoles. We study the connection in d=3 between pure-gauge theory and the theory with adjoint Higgs by varying the Higgs VEV v. As one lowers v from the Polyakov semi- classical regime v>>g (g is the gauge coupling) toward zero, where the unbroken theory lies, one encounters effects associated with the unbroken theory at a finite value v\sim g, where dynamical mass generation of a gauge-symmetric gauge- boson mass m\sim g^2 takes place, in addition to the Higgs-generated non-symmetric mass M\sim vg. This dynamical mass generation is forced by the infrared instability (in both 3 and 4 dimensions) of the pure-gauge theory. We construct solitonic configurations of the theory with both m,M non-zero which are generically closed loops consisting of nexuses (a class of soliton recently studied for the pure-gauge theory), each paired with an antinexus, sitting like beads on a string of center vortices with vortex fields always pointing into (out of) a nexus (antinexus); the vortex magnetic fields extend a transverse distance 1/m. An isolated nexus with vortices is continuously deformable from the 't Hooft-Polyakov (m=0) monopole to the pure-gauge nexus-vortex complex (M=0). In the pure-gauge M=0 limit the homotopy $\Pi_2(SU(2)/U(1))=Z_2$ (or its analog for SU(N)) of the 't Hooft monopoles is no longer applicable, and is replaced by the center-vortex homotopy $\Pi_1(SU)N)/Z_N)=Z_N$.
|
hep-th/0104051
| null |
Y.S.Kim
|
Internal Space-time Symmetries of Massive and Massless Particles and
their Unification
|
LaTex 14 pages, presented at the International Conference on
Supersymmetry and Quantum Field Theory, in commemoration of Dmitri Volkov's
75th Birthday, Kharkov, Ukraine, 2000; to be published in the proceedings
|
Nucl.Phys.Proc.Suppl. 102 (2001) 369-376
|
10.1016/S0920-5632(01)01581-X
| null |
hep-th gr-qc hep-ph math-ph math.MP
| null |
It is noted that the internal space-time symmetries of relativistic particles
are dictated by Wigner's little groups. The symmetry of massive particles is
like the three-dimensional rotation group, while the symmetry of massless
particles is locally isomorphic to the two-dimensional Euclidean group. It is
noted also that, while the rotational degree of freedom for a massless particle
leads to its helicity, the two translational degrees of freedom correspond to
its gauge degrees of freedom. It is shown that the E(2)-like symmetry of of
massless particles can be obtained as an infinite-momentum and/or zero-mass
limit of the O(3)-like symmetry of massive particles. This mechanism is
illustrated in terms of a sphere elongating into a cylinder. In this way, the
helicity degree of freedom remains invariant under the Lorentz boost, but the
transverse rotational degrees of freedom become contracted into the gauge
degree of freedom.
|
[
{
"created": "Thu, 5 Apr 2001 15:19:07 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Kim",
"Y. S.",
""
]
] |
It is noted that the internal space-time symmetries of relativistic particles are dictated by Wigner's little groups. The symmetry of massive particles is like the three-dimensional rotation group, while the symmetry of massless particles is locally isomorphic to the two-dimensional Euclidean group. It is noted also that, while the rotational degree of freedom for a massless particle leads to its helicity, the two translational degrees of freedom correspond to its gauge degrees of freedom. It is shown that the E(2)-like symmetry of of massless particles can be obtained as an infinite-momentum and/or zero-mass limit of the O(3)-like symmetry of massive particles. This mechanism is illustrated in terms of a sphere elongating into a cylinder. In this way, the helicity degree of freedom remains invariant under the Lorentz boost, but the transverse rotational degrees of freedom become contracted into the gauge degree of freedom.
|
hep-th/0306137
|
Ashoke Sen
|
Ashoke Sen
|
Open-Closed Duality at Tree Level
|
LaTeX file, 10 pages
|
Phys.Rev.Lett.91:181601,2003
|
10.1103/PhysRevLett.91.181601
|
MRI-P-030601
|
hep-th
| null |
We study decay of unstable D-branes in string theory in the presence of
electric field, and show that the classical open string theory results for
various properties of the final state agree with the properties of closed
string states into which the system is expected to decay. This suggests a
duality between tree level open string theory on unstable D-branes and closed
strings at high density.
|
[
{
"created": "Sat, 14 Jun 2003 18:27:14 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
We study decay of unstable D-branes in string theory in the presence of electric field, and show that the classical open string theory results for various properties of the final state agree with the properties of closed string states into which the system is expected to decay. This suggests a duality between tree level open string theory on unstable D-branes and closed strings at high density.
|
1412.4764
|
Andrej Stepanchuk
|
A. Stepanchuk
|
String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and
1-loop phase in the S-matrix
|
28 pages. v2: references added, v3: extended introduction
|
J.Phys.A48:195401,2015
|
10.1088/1751-8113/48/19/195401
|
Imperial-TP-AS-2014-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a semiclassical derivation of the tree-level and 1-loop dressing
phases in the massive sector of string theory on AdS_3 x S^3 x T^4 supplemented
by R-R and NS-NS 3-form fluxes. In analogy with the AdS_5 x S^5 case, we use
the dressing method to obtain scattering solutions for dyonic giant magnons
which allows us to determine the semiclassical bound-state S-matrix and its
1-loop correction. We also find that the 1-loop correction to the dyonic giant
magnon energy vanishes. Looking at the relation between the bound-state picture
and elementary magnons in terms of the fusion procedure we deduce the
elementary dressing phases. In both the semiclassical and 1-loop cases we find
agreement with recent proposals from finite-gap equations and unitarity cut
methods. Further, we find consistency with the finite-gap picture by
determining the resolvent for the dyonic giant magnon from the semiclassical
bosonic scattering data.
|
[
{
"created": "Mon, 15 Dec 2014 20:58:22 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Dec 2014 02:04:39 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Mar 2015 13:52:45 GMT",
"version": "v3"
}
] |
2015-04-22
|
[
[
"Stepanchuk",
"A.",
""
]
] |
We present a semiclassical derivation of the tree-level and 1-loop dressing phases in the massive sector of string theory on AdS_3 x S^3 x T^4 supplemented by R-R and NS-NS 3-form fluxes. In analogy with the AdS_5 x S^5 case, we use the dressing method to obtain scattering solutions for dyonic giant magnons which allows us to determine the semiclassical bound-state S-matrix and its 1-loop correction. We also find that the 1-loop correction to the dyonic giant magnon energy vanishes. Looking at the relation between the bound-state picture and elementary magnons in terms of the fusion procedure we deduce the elementary dressing phases. In both the semiclassical and 1-loop cases we find agreement with recent proposals from finite-gap equations and unitarity cut methods. Further, we find consistency with the finite-gap picture by determining the resolvent for the dyonic giant magnon from the semiclassical bosonic scattering data.
|
hep-th/0308147
|
Dmitriy Belov
|
D.M. Belov
|
Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
|
23 pages, 2 figures, RevTeX style; ref. added
|
Phys.Rev. D69 (2004) 126001
|
10.1103/PhysRevD.69.126001
|
RUNHETC-2003-25
|
hep-th
| null |
First, we diagonalize the bc-ghost 3-string Neumann matrices using the
technique described in hep-th/0304158. Their eigenvalues are in complete
agreement with the previous authors. Second, we diagonalize the N-string gluing
vertices for the bosonized ghost system. And third, we verify the descent and
associativity relations for the combined bosonic matter+ghost gluing vertices.
We find that in order for these relations to be true, the vertices must be
normalized by the factor Z_N. Here Z_N is the partition function of the bosonic
matter+ghost CFT on the gluing surface, which is the unit disc with the Neumann
boundary conditions and the midpoint cone like singularity specifying by the
angle excess \pi(N-2).
|
[
{
"created": "Thu, 21 Aug 2003 18:12:44 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Sep 2003 18:01:52 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Belov",
"D. M.",
""
]
] |
First, we diagonalize the bc-ghost 3-string Neumann matrices using the technique described in hep-th/0304158. Their eigenvalues are in complete agreement with the previous authors. Second, we diagonalize the N-string gluing vertices for the bosonized ghost system. And third, we verify the descent and associativity relations for the combined bosonic matter+ghost gluing vertices. We find that in order for these relations to be true, the vertices must be normalized by the factor Z_N. Here Z_N is the partition function of the bosonic matter+ghost CFT on the gluing surface, which is the unit disc with the Neumann boundary conditions and the midpoint cone like singularity specifying by the angle excess \pi(N-2).
|
hep-th/9710184
|
H. T. Ozer
|
H. T. Ozer
|
Vertex Operator Extension of Casimir W A(N) Algebras
|
7 pages,no figures,TeX file,(to appear in Mod.Phys.Lett.A)
|
Mod.Phys.Lett. A13 (1998) 2645-2652
|
10.1142/S0217732398002813
| null |
hep-th math-ph math.MP
| null |
We give an extension of Casimir of Casimir $\cal{WA_N}$ algebras including a
vertex operator which depends on non-simple roots of $A_{N-1}$.
|
[
{
"created": "Fri, 24 Oct 1997 11:47:41 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Oct 1998 09:20:58 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ozer",
"H. T.",
""
]
] |
We give an extension of Casimir of Casimir $\cal{WA_N}$ algebras including a vertex operator which depends on non-simple roots of $A_{N-1}$.
|
hep-th/9503040
|
Andrea Pasquinucci
|
A. Pasquinucci and K. Roland
|
Bosonization of World-Sheet Fermions in Minkowski Space-Time
|
1+9 pages, TeX macros included
|
Phys.Lett. B351 (1995) 131-136
|
10.1016/0370-2693(95)00399-6
|
NBI-HE-95-06
|
hep-th
| null |
We propose a way of bosonizing free world-sheet fermions for $4$-dimensional
heterotic string theory formulated in Minkowski space-time. We discuss the
differences as compared to the standard bosonization performed in Euclidean
space-time.
|
[
{
"created": "Tue, 7 Mar 1995 12:48:12 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Pasquinucci",
"A.",
""
],
[
"Roland",
"K.",
""
]
] |
We propose a way of bosonizing free world-sheet fermions for $4$-dimensional heterotic string theory formulated in Minkowski space-time. We discuss the differences as compared to the standard bosonization performed in Euclidean space-time.
|
2110.01312
|
Enrico Rinaldi
|
Georg Bergner, Norbert Bodendorfer, Masanori Hanada, Stratos
Pateloudis, Enrico Rinaldi, Andreas Sch\"afer, Pavlos Vranas, Hiromasa
Watanabe
|
Confinement/deconfinement transition in the D0-brane matrix model -- A
signature of M-theory?
|
50 pages, 33 figures, appendix with 5 sections. Data available upon
request. Version published on JHEP
|
JHEP 05 (2022) 096
|
10.1007/JHEP05(2022)096
|
LLNL-JRNL-824792, RIKEN-iTHEMS-Report-21, UTHEP-759, DMUS-MP-21/13
|
hep-th hep-lat
|
http://creativecommons.org/licenses/by/4.0/
|
We study the confinement/deconfinement transition in the D0-brane matrix
model (often called the BFSS matrix model) and its one-parameter deformation
(the BMN matrix model) numerically by lattice Monte Carlo simulations. Our
results confirm general expectations from the dual string/M-theory picture for
strong coupling. In particular, we observe the confined phase in the BFSS
matrix model, which is a nontrivial consequence of the M-theory picture. We
suggest that these models provide us with an ideal framework to study the
Schwarzschild black hole, M-theory, and furthermore, the parameter region of
the phase transition between type IIA superstring theory and M-theory. A
detailed study of M-theory via lattice Monte Carlo simulations of the D0-brane
matrix model might be doable with much smaller computational resources than
previously expected.
|
[
{
"created": "Mon, 4 Oct 2021 10:39:56 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2022 09:17:16 GMT",
"version": "v2"
}
] |
2022-05-19
|
[
[
"Bergner",
"Georg",
""
],
[
"Bodendorfer",
"Norbert",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Pateloudis",
"Stratos",
""
],
[
"Rinaldi",
"Enrico",
""
],
[
"Schäfer",
"Andreas",
""
],
[
"Vranas",
"Pavlos",
""
],
[
"Watanabe",
"Hiromasa",
""
]
] |
We study the confinement/deconfinement transition in the D0-brane matrix model (often called the BFSS matrix model) and its one-parameter deformation (the BMN matrix model) numerically by lattice Monte Carlo simulations. Our results confirm general expectations from the dual string/M-theory picture for strong coupling. In particular, we observe the confined phase in the BFSS matrix model, which is a nontrivial consequence of the M-theory picture. We suggest that these models provide us with an ideal framework to study the Schwarzschild black hole, M-theory, and furthermore, the parameter region of the phase transition between type IIA superstring theory and M-theory. A detailed study of M-theory via lattice Monte Carlo simulations of the D0-brane matrix model might be doable with much smaller computational resources than previously expected.
|
hep-th/9512013
|
Hugo Compean
|
Hugo Garcia-Compean, Jerzy F. Plebanski and Maciej Przanowski
|
Further Remarks on the Chiral Model Approach to Self-Dual Gravity
|
22 pages, Phyzzx, no figures, few minor text changes
|
Phys.Lett. A219 (1996) 249
|
10.1016/0375-9601(96)00477-X
|
CINVESTAV-FIS-22/95
|
hep-th gr-qc
| null |
It is shown how some results on harmonic maps within the chiral model can be
carried over to self-dual gravity. The WZW-like action for self-dual gravity is
found.
|
[
{
"created": "Mon, 4 Dec 1995 18:32:07 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 1995 20:42:15 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Garcia-Compean",
"Hugo",
""
],
[
"Plebanski",
"Jerzy F.",
""
],
[
"Przanowski",
"Maciej",
""
]
] |
It is shown how some results on harmonic maps within the chiral model can be carried over to self-dual gravity. The WZW-like action for self-dual gravity is found.
|
hep-th/0205246
|
Danny Birmingham
|
Danny Birmingham and Massimiliano Rinaldi
|
Bubbles in Anti-de Sitter Space
|
8 pages, Latex
|
Phys.Lett. B544 (2002) 316-320
|
10.1016/S0370-2693(02)02261-X
| null |
hep-th gr-qc
| null |
We explore the bubble spacetimes which can be obtained from double analytic
continuations of static and rotating black holes in anti-de Sitter space. In
particular, we find that rotating black holes with elliptic horizon lead to
bubble spacetimes only in dimension greater than five. For dimension greater
than seven, the topology of the bubble can be non-spherical. However, a bubble
spacetime is shown to arise from a rotating de Sitter black hole in four
dimensions. In all cases, the evolution of the bubble is of de Sitter type.
Double analytic continuations of hyperbolic black holes and branes are also
discussed.
|
[
{
"created": "Thu, 23 May 2002 17:13:37 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Birmingham",
"Danny",
""
],
[
"Rinaldi",
"Massimiliano",
""
]
] |
We explore the bubble spacetimes which can be obtained from double analytic continuations of static and rotating black holes in anti-de Sitter space. In particular, we find that rotating black holes with elliptic horizon lead to bubble spacetimes only in dimension greater than five. For dimension greater than seven, the topology of the bubble can be non-spherical. However, a bubble spacetime is shown to arise from a rotating de Sitter black hole in four dimensions. In all cases, the evolution of the bubble is of de Sitter type. Double analytic continuations of hyperbolic black holes and branes are also discussed.
|
hep-th/9701127
| null |
Igor Bandos, Dmitri Sorokin and Mario Tonin
|
Generalized Action Principle and Superfield Equations of Motion for d=10
D-p-branes
|
LaTeX file, 22 pages
|
Nucl.Phys. B497 (1997) 275-296
|
10.1016/S0550-3213(97)00258-7
|
DFPD 97/TH/04
|
hep-th
| null |
The action for the D=10 type II Dirichlet super-p-branes, which has been
obtained recently, is reconstructed in a more geometrical form involving
Lorentz harmonic variables. This new (Lorentz-harmonic) formulation possesses
kappa-symmetry in an irreducible form and is used as a basis for applying a
generalized action principle that provides the superfield equations of motion
and clarifies the geometrical nature of the kappa-symmetry of these models. The
case of a Dirichlet super-3-brane is considered in detail.
|
[
{
"created": "Fri, 24 Jan 1997 08:24:00 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bandos",
"Igor",
""
],
[
"Sorokin",
"Dmitri",
""
],
[
"Tonin",
"Mario",
""
]
] |
The action for the D=10 type II Dirichlet super-p-branes, which has been obtained recently, is reconstructed in a more geometrical form involving Lorentz harmonic variables. This new (Lorentz-harmonic) formulation possesses kappa-symmetry in an irreducible form and is used as a basis for applying a generalized action principle that provides the superfield equations of motion and clarifies the geometrical nature of the kappa-symmetry of these models. The case of a Dirichlet super-3-brane is considered in detail.
|
2110.12835
|
Sergei Kuzenko
|
Sergei M. Kuzenko
|
Local supersymmetry: Variations on a theme by Volkov and Soroka
|
16 pages; V2: references added; V3: typos corrected and reference
added; V4: comments and references added; V5: published paper
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the work by Volkov and Soroka on spontaneously broken local
supersymmetry. It is demonstrated for the first time that, for specially chosen
parameters of the theory, the Volkov-Soroka action is invariant under two
different local supersymmetries. One of them is present for arbitrary values of
the parameters and acts on the Goldstino, while the other supersymmetry emerges
only in a special case and leaves the Goldstino invariant. The former can be
used to gauge away the Goldstino, and then the resulting action coincides with
that proposed by Deser and Zumino for consistent supergravity in the
first-order formalism. In this sense, pure $\mathcal{N} = 1$ supergravity is a
special case of the Volkov-Soroka theory, although it was not discovered by
these authors. We also explain how the Volkov-Soroka approach allows one to
naturally arrive at the 1.5 formalism. Our analysis provides a nonlinear
realisation approach to construct unbroken $\mathcal{N} = 1$ Poincar\'e
supergravity.
|
[
{
"created": "Mon, 25 Oct 2021 12:06:45 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 2021 12:58:13 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Mar 2022 12:00:28 GMT",
"version": "v3"
},
{
"created": "Wed, 26 Oct 2022 12:26:35 GMT",
"version": "v4"
},
{
"created": "Sat, 25 Mar 2023 09:06:16 GMT",
"version": "v5"
}
] |
2023-03-28
|
[
[
"Kuzenko",
"Sergei M.",
""
]
] |
We revisit the work by Volkov and Soroka on spontaneously broken local supersymmetry. It is demonstrated for the first time that, for specially chosen parameters of the theory, the Volkov-Soroka action is invariant under two different local supersymmetries. One of them is present for arbitrary values of the parameters and acts on the Goldstino, while the other supersymmetry emerges only in a special case and leaves the Goldstino invariant. The former can be used to gauge away the Goldstino, and then the resulting action coincides with that proposed by Deser and Zumino for consistent supergravity in the first-order formalism. In this sense, pure $\mathcal{N} = 1$ supergravity is a special case of the Volkov-Soroka theory, although it was not discovered by these authors. We also explain how the Volkov-Soroka approach allows one to naturally arrive at the 1.5 formalism. Our analysis provides a nonlinear realisation approach to construct unbroken $\mathcal{N} = 1$ Poincar\'e supergravity.
|
0809.4494
|
Anindya Mukherjee
|
Pallab Basu, Anindya Mukherjee, Hsien-Hang Shieh
|
Supercurrent: Vector Hair for an AdS Black Hole
|
23 pages, latex
|
Phys.Rev.D79:045010,2009
|
10.1103/PhysRevD.79.045010
| null |
hep-th cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In arXiv:0803.3295 [hep-th] a holographic black hole solution is discussed
which exhibits a superconductor like transition. In the superconducting phase
the black holes show infinite DC conductivity. This gives rise to the
possibility of deforming the solutions by turning on a time independent current
(supercurrent), without any electric field. This type of deformation does not
exist for normal (non-superconducting) black holes, due to the no-hair
theorems. In this paper we have studied such a supercurrent solution and the
associated phase diagram. Interestingly, we have found a "special point"
(critical point) in the phase diagram where the second order superconducting
phase transition becomes first order. Supercurrent in superconducting materials
is a well studied phenomenon in condensed matter systems. We have found some
qualitative agreement with known results.
|
[
{
"created": "Fri, 26 Sep 2008 19:43:22 GMT",
"version": "v1"
}
] |
2010-06-09
|
[
[
"Basu",
"Pallab",
""
],
[
"Mukherjee",
"Anindya",
""
],
[
"Shieh",
"Hsien-Hang",
""
]
] |
In arXiv:0803.3295 [hep-th] a holographic black hole solution is discussed which exhibits a superconductor like transition. In the superconducting phase the black holes show infinite DC conductivity. This gives rise to the possibility of deforming the solutions by turning on a time independent current (supercurrent), without any electric field. This type of deformation does not exist for normal (non-superconducting) black holes, due to the no-hair theorems. In this paper we have studied such a supercurrent solution and the associated phase diagram. Interestingly, we have found a "special point" (critical point) in the phase diagram where the second order superconducting phase transition becomes first order. Supercurrent in superconducting materials is a well studied phenomenon in condensed matter systems. We have found some qualitative agreement with known results.
|
hep-th/0304200
|
Tatsuo Kobayashi
|
Tetsutaro Higaki and Tatsuo Kobayashi
|
Twisted Moduli Stabilization in Type I String Models
|
18 pages, latex, 3 figures
|
Phys.Rev.D68:046006,2003
|
10.1103/PhysRevD.68.046006
| null |
hep-th hep-ph
| null |
We consider the model with the dilaton and twisted moduli fields, which is
inspired by type I string models. Stabilization of their vacuum expectation
values is studied. We find the stabilization of the twisted moduli field has
different aspects from the dilaton stabilization.
|
[
{
"created": "Thu, 24 Apr 2003 03:04:55 GMT",
"version": "v1"
},
{
"created": "Fri, 2 May 2003 06:39:03 GMT",
"version": "v2"
}
] |
2010-12-03
|
[
[
"Higaki",
"Tetsutaro",
""
],
[
"Kobayashi",
"Tatsuo",
""
]
] |
We consider the model with the dilaton and twisted moduli fields, which is inspired by type I string models. Stabilization of their vacuum expectation values is studied. We find the stabilization of the twisted moduli field has different aspects from the dilaton stabilization.
|
0812.4311
|
Ricardo Troncoso
|
Fabrizio Canfora, Alex Giacomini, Ricardo Troncoso and Steven Willison
|
General Relativity with small cosmological constant from spontaneous
compactification of Lovelock theory in vacuum
|
10 pages, no figures. Minor changes and references added. Final
version for PRD
|
Phys.Rev.D80:044029,2009
|
10.1103/PhysRevD.80.044029
|
CECS-PHY-08/10
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
It is shown that Einstein gravity in four dimensions with small cosmological
constant and small extra dimensions can be obtained by spontaneous
compactification of Lovelock gravity in vacuum. Assuming that the extra
dimensions are compact spaces of constant curvature, General Relativity is
recovered within certain class of Lovelock theories possessing necessarily
cubic or higher order terms in curvature. This bounds the higher dimension to
be at least seven. Remarkably, the effective gauge coupling and Newton constant
in four dimensions are not proportional to the gravitational constant in higher
dimensions, but shifted with respect to their standard values. This effect
opens up new scenarios where a maximally symmetric solution in higher
dimensions could decay into the compactified spacetime either by tunneling or
through a gravitational analogue of ghost condensation. Indeed, this is what
occurs requiring both the extra dimensions and the four-dimensional
cosmological constant to be small.
|
[
{
"created": "Mon, 22 Dec 2008 23:54:56 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2009 00:27:39 GMT",
"version": "v2"
}
] |
2009-09-09
|
[
[
"Canfora",
"Fabrizio",
""
],
[
"Giacomini",
"Alex",
""
],
[
"Troncoso",
"Ricardo",
""
],
[
"Willison",
"Steven",
""
]
] |
It is shown that Einstein gravity in four dimensions with small cosmological constant and small extra dimensions can be obtained by spontaneous compactification of Lovelock gravity in vacuum. Assuming that the extra dimensions are compact spaces of constant curvature, General Relativity is recovered within certain class of Lovelock theories possessing necessarily cubic or higher order terms in curvature. This bounds the higher dimension to be at least seven. Remarkably, the effective gauge coupling and Newton constant in four dimensions are not proportional to the gravitational constant in higher dimensions, but shifted with respect to their standard values. This effect opens up new scenarios where a maximally symmetric solution in higher dimensions could decay into the compactified spacetime either by tunneling or through a gravitational analogue of ghost condensation. Indeed, this is what occurs requiring both the extra dimensions and the four-dimensional cosmological constant to be small.
|
hep-th/0010140
|
Stefano Liberati
|
S.Liberati, F.Belgiorno, Matt Visser
|
Comment on ``Dimensional and dynamical aspects of the Casimir effect:
understanding the reality and significance of vacuum energy''
|
Two pages comment, uses ReV_TeX 3
| null | null | null |
hep-th
| null |
In [hep-th/0009173] Milton has presented a brief review of some interesting
aspects of the theory of the Casimir effect. This comment is aimed at
correcting some imprecise statements in that work with respect to the relevance
of the Casimir effect for explaining the phenomenon of sonoluminescence.
|
[
{
"created": "Tue, 17 Oct 2000 17:46:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Liberati",
"S.",
""
],
[
"Belgiorno",
"F.",
""
],
[
"Visser",
"Matt",
""
]
] |
In [hep-th/0009173] Milton has presented a brief review of some interesting aspects of the theory of the Casimir effect. This comment is aimed at correcting some imprecise statements in that work with respect to the relevance of the Casimir effect for explaining the phenomenon of sonoluminescence.
|
2109.14245
|
Zhaoyi Xu
|
Zhaoyi Xu and Meirong Tang
|
Effect of quantum deformed black hole on BH shadow in two-dimensional
Dilaton gravity
|
18 pages, 8 figures
| null |
10.1088/1674-1137/ac6665
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent years, the study of quantum effects near the event horizon of black
hole (BH) has attracted extensive attention. It has become one of the important
methods to explore BH quantum properties by using the related properties of the
quantum deformed black hole. In this work, we study the effect of quantum
deformed black hole on BH shadow in two-dimensional Dilaton gravity. In this
model, quantum effects are reflected on the quantum correction parameter m. By
calculation, we find that: (1) the shape of the shadow boundary of a rotating
black hole is determined by the BH spin $a$, the quantum correction parameter
$m$ and the BH type parameter $n$; (2) when the spin $a=0$, the shape of the BH
shadow is a perfect circle; when $a\neq 0$, the shape is distorted; if the
quantum correction parameter $m=0$, their shapes reduce to the cases of
Schwarzschild BH and Kerr BH respectively; (3) the degree of distortion of the
BH shadow is different for various quantum correction parameters $m$; with the
increase of the values of $m$, the shadow will become more and more obvious;
(4) the results of different BH type parameter $n$ differ greatly. Since the
value of $m$ in actual physics should be very small, the current observations
of EHT cannot distinguish quantum effect from BH shadow, and can only constrain
the upper limit of $m$. In future BH shadow measurements, it will be possible
to distinguish quantum deformed black holes, which will help to better
understand the quantum effects of BHs.
|
[
{
"created": "Wed, 29 Sep 2021 07:44:49 GMT",
"version": "v1"
}
] |
2022-08-10
|
[
[
"Xu",
"Zhaoyi",
""
],
[
"Tang",
"Meirong",
""
]
] |
In recent years, the study of quantum effects near the event horizon of black hole (BH) has attracted extensive attention. It has become one of the important methods to explore BH quantum properties by using the related properties of the quantum deformed black hole. In this work, we study the effect of quantum deformed black hole on BH shadow in two-dimensional Dilaton gravity. In this model, quantum effects are reflected on the quantum correction parameter m. By calculation, we find that: (1) the shape of the shadow boundary of a rotating black hole is determined by the BH spin $a$, the quantum correction parameter $m$ and the BH type parameter $n$; (2) when the spin $a=0$, the shape of the BH shadow is a perfect circle; when $a\neq 0$, the shape is distorted; if the quantum correction parameter $m=0$, their shapes reduce to the cases of Schwarzschild BH and Kerr BH respectively; (3) the degree of distortion of the BH shadow is different for various quantum correction parameters $m$; with the increase of the values of $m$, the shadow will become more and more obvious; (4) the results of different BH type parameter $n$ differ greatly. Since the value of $m$ in actual physics should be very small, the current observations of EHT cannot distinguish quantum effect from BH shadow, and can only constrain the upper limit of $m$. In future BH shadow measurements, it will be possible to distinguish quantum deformed black holes, which will help to better understand the quantum effects of BHs.
|
1906.10161
|
Keita Nii
|
Keita Nii
|
Confinement in 3d $\mathcal{N}=2$ exceptional gauge theories
|
19 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the low-energy dynamics in three-dimensional $\mathcal{N}=2$
exceptional gauge theories with matters in a fundamental representation,
especially focusing on confinement phases and on a quantum structure of the
Coulomb branch in the moduli space of vacua. We argue that the confinement
phases of these exceptional gauge theories have a single Coulomb branch. The 3d
s-confinement phases for the exceptional gauge groups are associated with
quantum-deformed moduli spaces of the corresponding 4d $\mathcal{N}=1$
exceptional gauge theories.
|
[
{
"created": "Mon, 24 Jun 2019 18:21:22 GMT",
"version": "v1"
}
] |
2019-06-26
|
[
[
"Nii",
"Keita",
""
]
] |
We study the low-energy dynamics in three-dimensional $\mathcal{N}=2$ exceptional gauge theories with matters in a fundamental representation, especially focusing on confinement phases and on a quantum structure of the Coulomb branch in the moduli space of vacua. We argue that the confinement phases of these exceptional gauge theories have a single Coulomb branch. The 3d s-confinement phases for the exceptional gauge groups are associated with quantum-deformed moduli spaces of the corresponding 4d $\mathcal{N}=1$ exceptional gauge theories.
|
0809.4378
|
Julio Oliva
|
Gustavo Dotti, Julio Oliva, Ricardo Troncoso
|
Vacuum solutions with nontrivial boundaries for the
Einstein-Gauss-Bonnet theory
|
Prepared for the proceedings of the 7th Alexander Friedmann
International Seminar on Gravitation and Cosmology, July 2008, Joao Pessoa,
Brasil. 4 pages, References added
|
Int.J.Mod.Phys.A24:1690-1694,2009
|
10.1142/S0217751X09045248
|
CECS-PHY-08/12
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The classification of certain class of static solutions for the
Einstein-Gauss-Bonnet theory in vacuum is presented. The spacelike section of
the class of metrics under consideration is a warped product of the real line
with a nontrivial base manifold. For arbitrary values of the Gauss-Bonnet
coupling, the base manifold must be Einstein with an additional scalar
restriction. The geometry of the boundary can be relaxed only when the
Gauss-Bonnet coupling is related with the cosmological and Newton constants, so
that the theory admits a unique maximally symmetric solution. This additional
freedom in the boundary metric allows the existence of three main branches of
geometries in the bulk, containing new black holes and wormholes in vacuum.
|
[
{
"created": "Thu, 25 Sep 2008 11:18:20 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Sep 2008 22:19:25 GMT",
"version": "v2"
}
] |
2009-04-24
|
[
[
"Dotti",
"Gustavo",
""
],
[
"Oliva",
"Julio",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
The classification of certain class of static solutions for the Einstein-Gauss-Bonnet theory in vacuum is presented. The spacelike section of the class of metrics under consideration is a warped product of the real line with a nontrivial base manifold. For arbitrary values of the Gauss-Bonnet coupling, the base manifold must be Einstein with an additional scalar restriction. The geometry of the boundary can be relaxed only when the Gauss-Bonnet coupling is related with the cosmological and Newton constants, so that the theory admits a unique maximally symmetric solution. This additional freedom in the boundary metric allows the existence of three main branches of geometries in the bulk, containing new black holes and wormholes in vacuum.
|
hep-th/0512016
|
C. P. Martin
|
C.P. Martin and C. Tamarit (Universidad Complutense de Madrid)
|
Noncommutative QCD, first-order-in-theta-deformed instantons and 't
Hooft vertices
|
Latex. Some macros. No figures. 42 pages. Typos corrected
|
JHEP0602:066,2006
|
10.1088/1126-6708/2006/02/066
|
FTI/UCM 100-2005
|
hep-th
| null |
For commutative Euclidean time, we study the existence of field
configurations that {\it a)} are formal power series expansions in
$h\theta^{\m\n}$, {\it b)} go to ordinary (anti-)instantons as
$h\theta^{\m\n}\to 0$, and {\it c)} render stationary the classical action of
Euclidean noncommutative SU(3) Yang-Mills theory. We show that the
noncommutative (anti-)self-duality equations have no solutions of this type at
any order in $h\theta^{\m\n}$. However, we obtain all the deformations --called
first-order-in-$\theta$-deformed instantons-- of the ordinary instanton that,
at first order in $h\theta^{\m\n}$, satisfy the equations of motion of
Euclidean noncommutative SU(3) Yang-Mills theory. We analyze the quantum
effects that these field configurations give rise to in noncommutative SU(3)
with one, two and three nearly massless flavours and compute the corresponding
't Hooft vertices, also, at first order in $h\theta^{\m\n}$. Other issues
analyzed in this paper are the existence at higher orders in $h\theta^{\m\n}$
of topologically nontrivial solutions of the type mentioned above and the
classification of the classical vacua of noncommutative SU(N) Yang-Mills theory
that are power series in $h\theta^{\m\n}$.
|
[
{
"created": "Thu, 1 Dec 2005 18:58:12 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2005 16:27:32 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Feb 2006 11:03:58 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Martin",
"C. P.",
"",
"Universidad Complutense de Madrid"
],
[
"Tamarit",
"C.",
"",
"Universidad Complutense de Madrid"
]
] |
For commutative Euclidean time, we study the existence of field configurations that {\it a)} are formal power series expansions in $h\theta^{\m\n}$, {\it b)} go to ordinary (anti-)instantons as $h\theta^{\m\n}\to 0$, and {\it c)} render stationary the classical action of Euclidean noncommutative SU(3) Yang-Mills theory. We show that the noncommutative (anti-)self-duality equations have no solutions of this type at any order in $h\theta^{\m\n}$. However, we obtain all the deformations --called first-order-in-$\theta$-deformed instantons-- of the ordinary instanton that, at first order in $h\theta^{\m\n}$, satisfy the equations of motion of Euclidean noncommutative SU(3) Yang-Mills theory. We analyze the quantum effects that these field configurations give rise to in noncommutative SU(3) with one, two and three nearly massless flavours and compute the corresponding 't Hooft vertices, also, at first order in $h\theta^{\m\n}$. Other issues analyzed in this paper are the existence at higher orders in $h\theta^{\m\n}$ of topologically nontrivial solutions of the type mentioned above and the classification of the classical vacua of noncommutative SU(N) Yang-Mills theory that are power series in $h\theta^{\m\n}$.
|
0708.0668
|
Shin Sasaki
|
Masato Arai, Claus Montonen, Nobuchika Okada, Shin Sasaki
|
Meta-stable Vacuum in Spontaneously Broken N=2 Supersymmetric Gauge
Theory
|
27 pages, 11 figures, journal reference added, minor modifications in
the text
|
Phys.Rev.D76:125009,2007
|
10.1103/PhysRevD.76.125009
|
HIP-2007-41/TH
|
hep-th hep-ph
| null |
We consider an N=2 supersymmetric SU(2) \times U(1) gauge theory with N_f=2
massless flavors and a Fayet-Iliopoulos (FI) term. In the presence of the FI
term, supersymmetry is spontaneously broken at tree level (on the Coulomb
branch), leaving a pseudo-flat direction in the classical potential. This
vacuum degeneracy is removed once quantum corrections are taken into account.
Due to the SU(2) gauge dynamics, the effective potential exhibits a local
minimum at the dyon point, where not only supersymmetry but also U(1)_R
symmetry is broken, while a supersymmetric vacuum would be realized toward
infinity with the runaway behavior of the potential. This local minimum is
found to be parametrically long-lived. Interestingly, from a phenomenological
point of view, in this meta-stable vacuum the massive hypermultiplets inherent
in the theory play the role of the messenger fields in the gauge mediation
scenario, when the Standard Model gauge group is embedded into their flavor
symmetry.
|
[
{
"created": "Sun, 5 Aug 2007 12:17:27 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2007 12:26:16 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Dec 2007 15:24:57 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Arai",
"Masato",
""
],
[
"Montonen",
"Claus",
""
],
[
"Okada",
"Nobuchika",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We consider an N=2 supersymmetric SU(2) \times U(1) gauge theory with N_f=2 massless flavors and a Fayet-Iliopoulos (FI) term. In the presence of the FI term, supersymmetry is spontaneously broken at tree level (on the Coulomb branch), leaving a pseudo-flat direction in the classical potential. This vacuum degeneracy is removed once quantum corrections are taken into account. Due to the SU(2) gauge dynamics, the effective potential exhibits a local minimum at the dyon point, where not only supersymmetry but also U(1)_R symmetry is broken, while a supersymmetric vacuum would be realized toward infinity with the runaway behavior of the potential. This local minimum is found to be parametrically long-lived. Interestingly, from a phenomenological point of view, in this meta-stable vacuum the massive hypermultiplets inherent in the theory play the role of the messenger fields in the gauge mediation scenario, when the Standard Model gauge group is embedded into their flavor symmetry.
|
2402.15720
|
Rubens R. S. Oliveira
|
R. R. S. Oliveira
|
Relativistic and nonrelativistic Landau levels for the noncommutative
quantum Hall effect with anomalous magnetic moment in a conical G\"odel-type
spacetime
|
15 pages, no figure
|
General Relativity and Gravitation, vol 56, page 30, (2024)
|
10.1007/s10714-024-03209-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we analyze the relativistic and nonrelativistic energy spectra
(fermionic Landau levels) for the noncommutative quantum Hall effect with
anomalous magnetic moment in the conical G\"odel-type spacetime in
(2+1)-dimensions, where such spacetime is the combination of the flat
G\"odel-type spacetime with a cosmic string (conical gravitational topological
defect). To analyze these energy spectra, we start from the noncommutative
Dirac equation with minimal and nonminimal couplings in polar coordinates.
Using the tetrads formalism, we obtain a second-order differential equation.
Next, we solve exactly this differential equation, where we obtain a
generalized Laguerre equation, and also a quadratic polynomial equation for the
total relativistic energy. By solving this polynomial equation, we obtain the
relativistic energy spectrum of the fermion and antifermion. Besides, we also
analyze the nonrelativistic limit of the system, where we obtain the
nonrelativistic energy spectrum. In both cases (relativistic and
nonrelativistic), we discuss in detail the characteristics of each spectrum as
well as the influence of all parameters and physical quantities in such
spectra. Comparing our problem with other works, we verified that our results
generalize several particular cases in the literature.
|
[
{
"created": "Sat, 24 Feb 2024 05:09:47 GMT",
"version": "v1"
}
] |
2024-02-27
|
[
[
"Oliveira",
"R. R. S.",
""
]
] |
In this paper, we analyze the relativistic and nonrelativistic energy spectra (fermionic Landau levels) for the noncommutative quantum Hall effect with anomalous magnetic moment in the conical G\"odel-type spacetime in (2+1)-dimensions, where such spacetime is the combination of the flat G\"odel-type spacetime with a cosmic string (conical gravitational topological defect). To analyze these energy spectra, we start from the noncommutative Dirac equation with minimal and nonminimal couplings in polar coordinates. Using the tetrads formalism, we obtain a second-order differential equation. Next, we solve exactly this differential equation, where we obtain a generalized Laguerre equation, and also a quadratic polynomial equation for the total relativistic energy. By solving this polynomial equation, we obtain the relativistic energy spectrum of the fermion and antifermion. Besides, we also analyze the nonrelativistic limit of the system, where we obtain the nonrelativistic energy spectrum. In both cases (relativistic and nonrelativistic), we discuss in detail the characteristics of each spectrum as well as the influence of all parameters and physical quantities in such spectra. Comparing our problem with other works, we verified that our results generalize several particular cases in the literature.
|
1806.04920
|
Pierre Vanhove
|
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Guido Festuccia, Ludovic
Plant\'e, Pierre Vanhove
|
General Relativity from Scattering Amplitudes
|
v2: 9 pages. Version to be published, minor corrections, references
updated, and a new appendix on the eikonal method (a supplemental material at
PRL)
|
Phys. Rev. Lett. 121, 171601 (2018)
|
10.1103/PhysRevLett.121.171601
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We outline the program to apply modern quantum field theory methods to
calculate observables in classical general relativity through a truncation to
classical terms of the multi-graviton two-body on-shell scattering amplitudes
between massive fields. Since only long-distance interactions corresponding to
non-analytic pieces need to be included, unitarity cuts provide substantial
simplifications for both post-Newtonian and post-Minkowskian expansions. We
illustrate this quantum field theoretic approach to classical general
relativity by computing the interaction potentials to second order in the
post-Newtonian expansion, as well as the scattering functions for two massive
objects to second order in the post-Minkowskian expansion. We also derive an
all-order exact result for gravitational light-by-light scattering.
|
[
{
"created": "Wed, 13 Jun 2018 09:43:28 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2018 21:58:59 GMT",
"version": "v2"
}
] |
2018-10-31
|
[
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Damgaard",
"Poul H.",
""
],
[
"Festuccia",
"Guido",
""
],
[
"Planté",
"Ludovic",
""
],
[
"Vanhove",
"Pierre",
""
]
] |
We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-graviton two-body on-shell scattering amplitudes between massive fields. Since only long-distance interactions corresponding to non-analytic pieces need to be included, unitarity cuts provide substantial simplifications for both post-Newtonian and post-Minkowskian expansions. We illustrate this quantum field theoretic approach to classical general relativity by computing the interaction potentials to second order in the post-Newtonian expansion, as well as the scattering functions for two massive objects to second order in the post-Minkowskian expansion. We also derive an all-order exact result for gravitational light-by-light scattering.
|
1410.3503
|
Xiaochuan Lu
|
Xiaochuan Lu and Hitoshi Murayama
|
Universal Asymptotic Eigenvalue Distribution of Large $N$ Random
Matrices --- A Direct Diagrammatic Proof to Marchenko-Pastur Law ---
|
9 pages, 8 figures
| null | null |
UCB-PTH-14/36 IPMU14-0317
|
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In random matrix theory, Marchenko-Pastur law states that random matrices
with independent and identically distributed entries have a universal
asymptotic eigenvalue distribution under large dimension limit, regardless of
the choice of entry distribution. This law provides useful insight for physics
research, because the large $N$ limit proved to be a very useful tool in
various theoretical models. We present an alternative proof of Marchenko-
Pastur law using Feynman diagrams, which is more familiar to the physics
community. We also show that our direct diagrammatic approach can readily
generalize to six types of restricted random matrices, which are not all
covered by the original Marchenko-Pastur law.
|
[
{
"created": "Mon, 13 Oct 2014 20:27:41 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Jan 2015 00:50:23 GMT",
"version": "v2"
},
{
"created": "Mon, 11 May 2015 06:58:46 GMT",
"version": "v3"
}
] |
2015-05-12
|
[
[
"Lu",
"Xiaochuan",
""
],
[
"Murayama",
"Hitoshi",
""
]
] |
In random matrix theory, Marchenko-Pastur law states that random matrices with independent and identically distributed entries have a universal asymptotic eigenvalue distribution under large dimension limit, regardless of the choice of entry distribution. This law provides useful insight for physics research, because the large $N$ limit proved to be a very useful tool in various theoretical models. We present an alternative proof of Marchenko- Pastur law using Feynman diagrams, which is more familiar to the physics community. We also show that our direct diagrammatic approach can readily generalize to six types of restricted random matrices, which are not all covered by the original Marchenko-Pastur law.
|
hep-th/9903139
|
Volker Schomerus
|
Andreas Recknagel, Volker Schomerus
|
Moduli Spaces of D-branes in CFT-backgrounds
|
8 pages, latex
|
Fortsch.Phys.48:195-198,2000
|
10.1002/(SICI)1521-3978(20001)48:1/3<195::AID-PROP195>3.0.CO;2-K
|
DESY 99-013, MLI REPORT No. 12 1998/99
|
hep-th
| null |
D-branes in curved backgrounds can be treated with techniques of boundary
conformal field theory. We discuss the influence of scalar condensates on such
branes, i.e. perturbations of boundary conditions by marginal boundary
operators. A general criterion is presented that guarantees a boundary
perturbation to be truly marginal in all orders of perturbation theory. Our
results on boundary deformations have several interesting applications which
are sketched at the end of this note.
|
[
{
"created": "Tue, 16 Mar 1999 12:43:56 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Recknagel",
"Andreas",
""
],
[
"Schomerus",
"Volker",
""
]
] |
D-branes in curved backgrounds can be treated with techniques of boundary conformal field theory. We discuss the influence of scalar condensates on such branes, i.e. perturbations of boundary conditions by marginal boundary operators. A general criterion is presented that guarantees a boundary perturbation to be truly marginal in all orders of perturbation theory. Our results on boundary deformations have several interesting applications which are sketched at the end of this note.
|
1801.07626
|
Ilya Perapechka
|
Ilya Perapechka, Yakov Shnir
|
$SU(2)$ Yang-Mills solitons in $R^2$ gravity
|
13 pages, 4 figures
|
Phys. Lett. B 780 (2018) 152
|
10.1016/j.physletb.2018.02.072
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct new family of spherically symmetric regular solutions of $SU(2)$
Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field
configurations possess non-integer non-Abelian magnetic charge. A discussion of
the main properties of the solutions and their differences from the usual
Bartnik-McKinnon solitons in the asymptotically flat case is presented. It is
shown that there is continuous family of linearly stable non-trivial solutions
in which the gauge field has no nodes.
|
[
{
"created": "Tue, 23 Jan 2018 15:56:13 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2018 21:23:58 GMT",
"version": "v2"
}
] |
2019-05-03
|
[
[
"Perapechka",
"Ilya",
""
],
[
"Shnir",
"Yakov",
""
]
] |
We construct new family of spherically symmetric regular solutions of $SU(2)$ Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field configurations possess non-integer non-Abelian magnetic charge. A discussion of the main properties of the solutions and their differences from the usual Bartnik-McKinnon solitons in the asymptotically flat case is presented. It is shown that there is continuous family of linearly stable non-trivial solutions in which the gauge field has no nodes.
|
1012.1608
|
Thomas Wotschke
|
Murad Alim, Babak Haghighat, Michael Hecht, Albrecht Klemm, Marco
Rauch and Thomas Wotschke
|
Wall-crossing holomorphic anomaly and mock modularity of multiple
M5-branes
|
45 p
| null | null |
BONN-TH-2010-13, LMU-ASC 102/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using wall-crossing formulae and the theory of mock modular forms we derive a
holomorphic anomaly equation for the modified elliptic genus of two M5-branes
wrapping a rigid divisor inside a Calabi-Yau manifold. The anomaly originates
from restoring modularity of an indefinite theta-function capturing the
wall-crossing of BPS invariants associated to D4-D2-D0 brane systems. We show
the compatibility of this equation with anomaly equations previously observed
in the context of N=4 topological Yang-Mills theory on P^2 and E-strings
obtained from wrapping M5-branes on a del Pezzo surface. The non-holomorphic
part is related to the contribution originating from bound-states of singly
wrapped M5-branes on the divisor. We show in examples that the information
provided by the anomaly is enough to compute the BPS degeneracies for certain
charges. We further speculate on a natural extension of the anomaly to higher
D4-brane charge.
|
[
{
"created": "Tue, 7 Dec 2010 21:10:08 GMT",
"version": "v1"
}
] |
2015-03-17
|
[
[
"Alim",
"Murad",
""
],
[
"Haghighat",
"Babak",
""
],
[
"Hecht",
"Michael",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Rauch",
"Marco",
""
],
[
"Wotschke",
"Thomas",
""
]
] |
Using wall-crossing formulae and the theory of mock modular forms we derive a holomorphic anomaly equation for the modified elliptic genus of two M5-branes wrapping a rigid divisor inside a Calabi-Yau manifold. The anomaly originates from restoring modularity of an indefinite theta-function capturing the wall-crossing of BPS invariants associated to D4-D2-D0 brane systems. We show the compatibility of this equation with anomaly equations previously observed in the context of N=4 topological Yang-Mills theory on P^2 and E-strings obtained from wrapping M5-branes on a del Pezzo surface. The non-holomorphic part is related to the contribution originating from bound-states of singly wrapped M5-branes on the divisor. We show in examples that the information provided by the anomaly is enough to compute the BPS degeneracies for certain charges. We further speculate on a natural extension of the anomaly to higher D4-brane charge.
|
2108.12362
|
Federico Piazza
|
Federico Piazza
|
Glimmers of a post-geometric perspective
|
v2: Relevant improvements in the text. References added. 32 pages, 6
figures
| null |
10.1088/1361-6382/acdc7b
| null |
hep-th astro-ph.CO gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Quantum gravitational effects can become important at low energy if the
wavefunction of the metric field fails to be peaked around a classical
configuration. We try to understand such deviations from classicality within
canonical quantum gravity by introducing a "fluid of observers" in the low
energy theory and defining a distance operator "at equal time" among them. We
find that, even in the presence of relevant fluctuations in the metric field, a
locally flat limit is recovered in the neighbourhood of each observer.
Deviations from classicality have no particular consequence, locally. However,
at larger separations the expectation value of the distance operator behaves
differently than a standard Riemannian distance. In particular, it is
non-additive and thus cannot be obtained by the integral of a differential line
element. This emerging "beyond Riemannian" geometry is a metric space similar
to embedded Riemannian manifolds equipped with chord distances that cut through
the ambient space. We study deviations from flat space by looking at triangles
in the limit where their sizes go to zero. Beyond-Riemannian deviations with
respect to flat space are of the same order as standard Riemannian ones, but
qualitatively different. Possible connections with holography and with the
black hole information paradox are briefly discussed.
|
[
{
"created": "Fri, 27 Aug 2021 15:53:15 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 2021 18:01:27 GMT",
"version": "v2"
}
] |
2023-08-02
|
[
[
"Piazza",
"Federico",
""
]
] |
Quantum gravitational effects can become important at low energy if the wavefunction of the metric field fails to be peaked around a classical configuration. We try to understand such deviations from classicality within canonical quantum gravity by introducing a "fluid of observers" in the low energy theory and defining a distance operator "at equal time" among them. We find that, even in the presence of relevant fluctuations in the metric field, a locally flat limit is recovered in the neighbourhood of each observer. Deviations from classicality have no particular consequence, locally. However, at larger separations the expectation value of the distance operator behaves differently than a standard Riemannian distance. In particular, it is non-additive and thus cannot be obtained by the integral of a differential line element. This emerging "beyond Riemannian" geometry is a metric space similar to embedded Riemannian manifolds equipped with chord distances that cut through the ambient space. We study deviations from flat space by looking at triangles in the limit where their sizes go to zero. Beyond-Riemannian deviations with respect to flat space are of the same order as standard Riemannian ones, but qualitatively different. Possible connections with holography and with the black hole information paradox are briefly discussed.
|
1306.1476
|
Feodor A. Smirnov
|
S.Negro and F.Smirnov
|
On one-point functions for sinh-Gordon model at finite temperature
|
21 pages, some explanation on relation to the lattice model is added
| null |
10.1016/j.nuclphysb.2013.06.023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using fermionic basis we conjecture the exact formulae for the expectation
values of local fields in sinh-Gordon model. The conjecture is checked against
previously known results.
|
[
{
"created": "Thu, 6 Jun 2013 17:09:52 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jun 2013 10:53:23 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Negro",
"S.",
""
],
[
"Smirnov",
"F.",
""
]
] |
Using fermionic basis we conjecture the exact formulae for the expectation values of local fields in sinh-Gordon model. The conjecture is checked against previously known results.
|
hep-th/9402136
|
David A. Lowe
|
D. A. Lowe, L. Susskind and J. Uglum
|
Information Spreading in Interacting String Field Theory
|
10 pages, 1 figure, harvmac and epsf, UCSBTH-94-07, SU-ITP-94-5
|
Phys.Lett.B327:226-233,1994
|
10.1016/0370-2693(94)90722-6
| null |
hep-th
| null |
The commutator of string fields is considered in the context of light cone
string field theory. It is shown that the commutator is in general
non--vanishing outside the string light cone. This could have profound
implications for our understanding of the localization of information in
quantum gravity.
|
[
{
"created": "Thu, 24 Feb 1994 00:23:39 GMT",
"version": "v1"
}
] |
2009-10-07
|
[
[
"Lowe",
"D. A.",
""
],
[
"Susskind",
"L.",
""
],
[
"Uglum",
"J.",
""
]
] |
The commutator of string fields is considered in the context of light cone string field theory. It is shown that the commutator is in general non--vanishing outside the string light cone. This could have profound implications for our understanding of the localization of information in quantum gravity.
|
2304.07351
|
Nicholas Early
|
Freddy Cachazo, Nick Early, Yong Zhang
|
Generalized Color Orderings: CEGM Integrands and Decoupling Identities
|
40+17 pages, 17 figures. Ancillary data for GCOs, decoupling
identities and integrands attached
| null |
10.1016/j.nuclphysb.2024.116552
| null |
hep-th math.AG math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a recent paper, we defined generalized color orderings (GCO) and Feynman
diagrams (GFD) to compute color-dressed generalized biadjoint amplitudes. In
this work, we study the Cachazo-Early-Guevara-Mizera (CEGM) representation of
generalized partial amplitudes and ``decoupling" identities. This
representation is a generalization of the Cachazo-He-Yuan (CHY) formulation as
an integral over the configuration space $X(k,n)$ of $n$ points on
$\mathbb{CP}^{k-1}$ in generic position.
Unlike the $k=2$ case, Parke-Taylor-like integrands are not enough to compute
all partial amplitudes for $k>2$. Here we give a set of constraints that
integrands associated with GCOs must satisfy and use them to construct all
$(3,n<9)$ integrands, all $(3,9)$ integrands up to four undetermined constants,
and $95 \%$ of $(4,8)$ integrands up to 24 undetermined constants.
$k=2$ partial amplitudes are known to satisfy identities. Among them, the
so-called $U(1)$ decoupling identities are the simplest ones. These are
characterized by a label $i$ and a color ordering in $X(2,|[n]\setminus
\{i\}|)$. Here we introduce decoupling identities for $k>2$ determined
combinatorially using GCOs. Moreover, we identify the natural analog of $U(1)$
identities as those characterized by a pair of labels $i\neq j$, and a pair of
GCOs, one in $X(k,|[n]\setminus \{i\}|)$ and the other in $X(k-1,|[n]\setminus
\{j\}|)$. We call them {\it double extension} identities.
We also provide explicit connections among different ways of representing
GCOs, such as configurations of lines, configurations of points, and
reorientation classes of uniform oriented matroids (chirotopes).
|
[
{
"created": "Fri, 14 Apr 2023 18:57:06 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Oct 2023 18:30:05 GMT",
"version": "v2"
}
] |
2024-05-07
|
[
[
"Cachazo",
"Freddy",
""
],
[
"Early",
"Nick",
""
],
[
"Zhang",
"Yong",
""
]
] |
In a recent paper, we defined generalized color orderings (GCO) and Feynman diagrams (GFD) to compute color-dressed generalized biadjoint amplitudes. In this work, we study the Cachazo-Early-Guevara-Mizera (CEGM) representation of generalized partial amplitudes and ``decoupling" identities. This representation is a generalization of the Cachazo-He-Yuan (CHY) formulation as an integral over the configuration space $X(k,n)$ of $n$ points on $\mathbb{CP}^{k-1}$ in generic position. Unlike the $k=2$ case, Parke-Taylor-like integrands are not enough to compute all partial amplitudes for $k>2$. Here we give a set of constraints that integrands associated with GCOs must satisfy and use them to construct all $(3,n<9)$ integrands, all $(3,9)$ integrands up to four undetermined constants, and $95 \%$ of $(4,8)$ integrands up to 24 undetermined constants. $k=2$ partial amplitudes are known to satisfy identities. Among them, the so-called $U(1)$ decoupling identities are the simplest ones. These are characterized by a label $i$ and a color ordering in $X(2,|[n]\setminus \{i\}|)$. Here we introduce decoupling identities for $k>2$ determined combinatorially using GCOs. Moreover, we identify the natural analog of $U(1)$ identities as those characterized by a pair of labels $i\neq j$, and a pair of GCOs, one in $X(k,|[n]\setminus \{i\}|)$ and the other in $X(k-1,|[n]\setminus \{j\}|)$. We call them {\it double extension} identities. We also provide explicit connections among different ways of representing GCOs, such as configurations of lines, configurations of points, and reorientation classes of uniform oriented matroids (chirotopes).
|
1006.2299
|
Sergei Kuzenko
|
Sergei M. Kuzenko, Ulf Lindstrom and Rikard von Unge
|
New supersymmetric sigma-model duality
|
41 pages; V2: a reference added; V3: published version
|
JHEP 1010:072,2010
|
10.1007/JHEP10(2010)072
|
UUITP-23/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study dualities in off-shell 4D N = 2 supersymmetric sigma-models, using
the projective superspace approach. These include (i) duality between the real
O(2n) and polar multiplets; and (ii) polar-polar duality. We demonstrate that
the dual of any superconformal sigma-model is superconformal. Since N = 2
superconformal sigma-models (for which target spaces are hyperkahler cones)
formulated in terms of polar multiplets are naturally associated with Kahler
cones (which are target spaces for N = 1 superconformal sigma-models),
polar-polar duality generates a transformation between different Kahler cones.
In the non-superconformal case, we study implications of polar-polar duality
for the sigma-model formulation in terms of N = 1 chiral superfields. In
particular, we find the relation between the original hyperkahler potential and
its dual. As an application of polar-polar duality, we study self-dual models.
|
[
{
"created": "Fri, 11 Jun 2010 13:24:14 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2010 02:27:15 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Apr 2012 09:18:22 GMT",
"version": "v3"
}
] |
2012-04-06
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Lindstrom",
"Ulf",
""
],
[
"von Unge",
"Rikard",
""
]
] |
We study dualities in off-shell 4D N = 2 supersymmetric sigma-models, using the projective superspace approach. These include (i) duality between the real O(2n) and polar multiplets; and (ii) polar-polar duality. We demonstrate that the dual of any superconformal sigma-model is superconformal. Since N = 2 superconformal sigma-models (for which target spaces are hyperkahler cones) formulated in terms of polar multiplets are naturally associated with Kahler cones (which are target spaces for N = 1 superconformal sigma-models), polar-polar duality generates a transformation between different Kahler cones. In the non-superconformal case, we study implications of polar-polar duality for the sigma-model formulation in terms of N = 1 chiral superfields. In particular, we find the relation between the original hyperkahler potential and its dual. As an application of polar-polar duality, we study self-dual models.
|
1910.12542
|
Yang Lei
|
Shinji Hirano, Yang Lei
|
Nearly AdS$_2$ holography in quantum CGHS model
|
25 pages, an error corrected and reference added
| null |
10.1007/JHEP01(2020)178
|
YITP-19-96
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In light of recent developments in nearly AdS$_2$ holography, we revisit the
semi-classical version of two-dimensional dilaton gravity proposed by Callan,
Giddings, Harvey, and Strominger (CGHS) in the early 90's. In distinction to
the classical model, the quantum corrected CGHS model has an AdS$_2$ vacuum
with a constant dilaton. By turning on a non-normalizable mode of the Liouville
field, i.e. the conformal mode of the $2d$ gravity, the explicit breaking of
the scale invariance renders the AdS$_2$ vacuum nearly AdS$_2$. As a
consequence, there emerges an effective one-dimensional Schwarzian-type theory
of pseudo Nambu-Goldstone mode - the boundary graviton - on the boundary of the
nearly AdS$_2$ space. We go beyond the linear order perturbation in
non-normalizable fluctuations of the Liouville field and work up to the second
order. As a main result of our analysis, we clarify the role of the boundary
graviton in the holographic framework and show the Virasoro/Schwarzian
correspondence, namely that the $2d$ bulk Virasoro constraints are equivalent
to the graviton equation of motion of the $1d$ boundary theory, at least, on
the $SL(2,R)$ invariant vacuum.
|
[
{
"created": "Mon, 28 Oct 2019 10:38:43 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2019 14:25:33 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Nov 2019 08:57:20 GMT",
"version": "v3"
}
] |
2020-02-19
|
[
[
"Hirano",
"Shinji",
""
],
[
"Lei",
"Yang",
""
]
] |
In light of recent developments in nearly AdS$_2$ holography, we revisit the semi-classical version of two-dimensional dilaton gravity proposed by Callan, Giddings, Harvey, and Strominger (CGHS) in the early 90's. In distinction to the classical model, the quantum corrected CGHS model has an AdS$_2$ vacuum with a constant dilaton. By turning on a non-normalizable mode of the Liouville field, i.e. the conformal mode of the $2d$ gravity, the explicit breaking of the scale invariance renders the AdS$_2$ vacuum nearly AdS$_2$. As a consequence, there emerges an effective one-dimensional Schwarzian-type theory of pseudo Nambu-Goldstone mode - the boundary graviton - on the boundary of the nearly AdS$_2$ space. We go beyond the linear order perturbation in non-normalizable fluctuations of the Liouville field and work up to the second order. As a main result of our analysis, we clarify the role of the boundary graviton in the holographic framework and show the Virasoro/Schwarzian correspondence, namely that the $2d$ bulk Virasoro constraints are equivalent to the graviton equation of motion of the $1d$ boundary theory, at least, on the $SL(2,R)$ invariant vacuum.
|
hep-th/0104256
|
H. Gopalkrishna Gadiyar
|
H. Gopalkrishna Gadiyar
|
A fresh look at the Bohr-Rosenfeld analysis and a proof of a conjecture
of Heisenberg
|
7 pages
| null | null | null |
hep-th
| null |
Bohr and Rosenfeld carried out an analysis of the consequences of field
theory commutation relations. In this note the analysis is sharpened. A
conjecture of Heisenberg that volume is quantized is shown to be a consequence
of the second quantization of gauge fields. A way to generalize the equations
of physics to include the Planck length is indicated.
|
[
{
"created": "Mon, 30 Apr 2001 09:34:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gadiyar",
"H. Gopalkrishna",
""
]
] |
Bohr and Rosenfeld carried out an analysis of the consequences of field theory commutation relations. In this note the analysis is sharpened. A conjecture of Heisenberg that volume is quantized is shown to be a consequence of the second quantization of gauge fields. A way to generalize the equations of physics to include the Planck length is indicated.
|
hep-th/9811157
|
Marcos Donizeti Rodrigues Sampaio
|
A.Brizola, O.A.Battistel, Marcos Sampaio, M.C.Nemes (UFMG-Brazil)
|
Implicit Regularisation Technique: Calculation of the Two-loop
$\phi^4_4$-theory $\beta$-function
|
7 pages, LaTeX, 2 figures (eps), Text reorganised and new reference
|
Mod.Phys.Lett. A14 (1999) 1509-1518
|
10.1142/S0217732399001607
| null |
hep-th
| null |
We propose an implicit regularisation scheme. The main advantage is that
since no explicit use of a regulator is made, one can in principle avoid
undesirable symmetry violations related to its choice. The divergent amplitudes
are split into basic divergent integrals which depend only on the loop momenta
and finite integrals. The former can be absorbed by a renormalisation procedure
whereas the latter can be evaluated without restrictions. We illustrate with
the calculation of the $QED$ and $\phi^4_4$-theory $\beta$-function to one and
two-loop order, respectively.
|
[
{
"created": "Mon, 16 Nov 1998 23:54:19 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Feb 1999 17:56:31 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Brizola",
"A.",
"",
"UFMG-Brazil"
],
[
"Battistel",
"O. A.",
"",
"UFMG-Brazil"
],
[
"Sampaio",
"Marcos",
"",
"UFMG-Brazil"
],
[
"Nemes",
"M. C.",
"",
"UFMG-Brazil"
]
] |
We propose an implicit regularisation scheme. The main advantage is that since no explicit use of a regulator is made, one can in principle avoid undesirable symmetry violations related to its choice. The divergent amplitudes are split into basic divergent integrals which depend only on the loop momenta and finite integrals. The former can be absorbed by a renormalisation procedure whereas the latter can be evaluated without restrictions. We illustrate with the calculation of the $QED$ and $\phi^4_4$-theory $\beta$-function to one and two-loop order, respectively.
|
hep-th/9510185
|
Ziemowit Popowicz
|
Ziemowit Popowicz
|
The Extended Supersymmetrization of the Multicomponent
Kadomtsev--Petviashvilli Hierarchy
|
18 pages
|
J.Phys.A29:1281-1292,1996
|
10.1088/0305-4470/29/6/014
|
IFT UWr 898/95
|
hep-th
| null |
We describe three different approaches to the extended (N=2)
supersymmetrization of the multicomponent KP hierarchy. In the first one we
utilize only superfermions while in the second only superbosons and in the
third superbosons as well as superfermions. It is shown that many soliton
equations can be embedded in the supersymmetry theory by using the first
approach even if we do not change these equations in the bosonic limit of the
supersymmetry. In the second or third approach we obtain a generalization of
the soliton equations in the bosonic limit which remains in the class of the
usual commuting functions. As the byproduct of our analysis we prove that for
the first procedure the bosonic part of the one--component supersym\-me\-tric
KP hierarchy coincides with the usual classical two--component KP hierarchy.
|
[
{
"created": "Wed, 25 Oct 1995 14:07:54 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Popowicz",
"Ziemowit",
""
]
] |
We describe three different approaches to the extended (N=2) supersymmetrization of the multicomponent KP hierarchy. In the first one we utilize only superfermions while in the second only superbosons and in the third superbosons as well as superfermions. It is shown that many soliton equations can be embedded in the supersymmetry theory by using the first approach even if we do not change these equations in the bosonic limit of the supersymmetry. In the second or third approach we obtain a generalization of the soliton equations in the bosonic limit which remains in the class of the usual commuting functions. As the byproduct of our analysis we prove that for the first procedure the bosonic part of the one--component supersym\-me\-tric KP hierarchy coincides with the usual classical two--component KP hierarchy.
|
1512.02292
|
Douglas A. Singleton
|
Douglas Singleton and Jaryd Ulbricht
|
The time-dependent Aharonov-Casher effect
|
14 pages revtex4, 1 figure, to be published PLB
| null |
10.1016/j.physletb.2015.12.002
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we give a covariant expression for Aharonov-Casher phase. This
expression is a combination of the canonical electric field, Aharonov-Casher
phase plus a magnetic field phase shift. We use this covariant expression for
the Aharonov-Casher phase to investigate the case of a neutral particle with a
non-zero magnetic moment moving in the {\it time dependent} electric and
magnetic fields of a plane electromagnetic wave background. We focus on the
case where the magnetic moment of the particle is oriented so that both the
electric and magnetic field lead to non-zero phases, and we look at the
interplay between these electric and magnetic phases.
|
[
{
"created": "Tue, 8 Dec 2015 00:30:51 GMT",
"version": "v1"
}
] |
2016-01-20
|
[
[
"Singleton",
"Douglas",
""
],
[
"Ulbricht",
"Jaryd",
""
]
] |
In this paper we give a covariant expression for Aharonov-Casher phase. This expression is a combination of the canonical electric field, Aharonov-Casher phase plus a magnetic field phase shift. We use this covariant expression for the Aharonov-Casher phase to investigate the case of a neutral particle with a non-zero magnetic moment moving in the {\it time dependent} electric and magnetic fields of a plane electromagnetic wave background. We focus on the case where the magnetic moment of the particle is oriented so that both the electric and magnetic field lead to non-zero phases, and we look at the interplay between these electric and magnetic phases.
|
1903.07444
|
Tsvetan Vetsov Dr.
|
H. Dimov, M. Radomirov, R. C. Rashkov, T. Vetsov
|
On Pulsating Strings in Schr\"{o}dinger Backgrounds
|
Minor corrections
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to AdS/CFT duality semi-classical strings in the Schr\"odinger
spacetime is conjectured to be a holographic dual to dipole CFT. In this paper
we consider pulsating strings in five-dimensional Schr\"odinger space times
five-sphere. We have found classical string solutions pulsating entirely in the
Schr\"odinger part of the background. We quantize the theory semi-classically
and obtain the wave function of the problem. We have found the corrections to
the energy, which by duality are supposed to give anomalous dimensions of
certain operators in the dipole CFT.
|
[
{
"created": "Fri, 15 Mar 2019 11:56:51 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Mar 2019 10:13:11 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Apr 2019 20:39:26 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Apr 2019 14:23:47 GMT",
"version": "v4"
},
{
"created": "Fri, 1 Nov 2019 14:04:48 GMT",
"version": "v5"
}
] |
2019-11-04
|
[
[
"Dimov",
"H.",
""
],
[
"Radomirov",
"M.",
""
],
[
"Rashkov",
"R. C.",
""
],
[
"Vetsov",
"T.",
""
]
] |
According to AdS/CFT duality semi-classical strings in the Schr\"odinger spacetime is conjectured to be a holographic dual to dipole CFT. In this paper we consider pulsating strings in five-dimensional Schr\"odinger space times five-sphere. We have found classical string solutions pulsating entirely in the Schr\"odinger part of the background. We quantize the theory semi-classically and obtain the wave function of the problem. We have found the corrections to the energy, which by duality are supposed to give anomalous dimensions of certain operators in the dipole CFT.
|
0812.0781
|
Shlomo S. Razamat
|
Andrei Parnachev and Shlomo S. Razamat
|
Comments on Bounds on Central Charges in N=1 Superconformal Theories
|
20 pages, 14 figures, harvmac, v2: a reference added
|
JHEP 0907:010,2009
|
10.1088/1126-6708/2009/07/010
|
YITP-SB-08-46
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The ratio of central charges in four-dimensional CFTs has been suggested by
Hofman and Maldacena to lie within an interval whose boundaries are fixed by
the number of supersymmetries. We compute this ratio for a set of interacting
N=1 superconformal field theories which arise as RG fixed points of
supersymmetric Yang-Mills theories with adjoint and fundamental matter. We do
not find violations of the proposed bounds, which appear to be saturated by
free field theories.
|
[
{
"created": "Wed, 3 Dec 2008 19:01:16 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jan 2009 19:31:13 GMT",
"version": "v2"
}
] |
2009-07-22
|
[
[
"Parnachev",
"Andrei",
""
],
[
"Razamat",
"Shlomo S.",
""
]
] |
The ratio of central charges in four-dimensional CFTs has been suggested by Hofman and Maldacena to lie within an interval whose boundaries are fixed by the number of supersymmetries. We compute this ratio for a set of interacting N=1 superconformal field theories which arise as RG fixed points of supersymmetric Yang-Mills theories with adjoint and fundamental matter. We do not find violations of the proposed bounds, which appear to be saturated by free field theories.
|
1605.01193
|
Shanquan Lan
|
Shanquan Lan, Yu Tian, Hongbao Zhang
|
Towards Quantum Turbulence in Finite Temperature Bose-Einstein
Condensates
|
16 pages, 9 figures, 1 table References added and clarifications made
|
JHEP07(2016)092
|
10.1007/JHEP07(2016)092
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the various indications that holographic superfluid is BCS like
at the standard quantization but BEC like at the alternative quantization, we
have implemented the alternative quantization in the dynamical holographic
superfluid for the first time. With this accomplishment, we further initiate
the detailed investigation of quantum turbulence in finite temperature BEC by a
long time stable numerical simulation of bulk dynamics, which includes the two
body decay of vortex number caused by vortex pair annihilation, the onset of
superfluid turbulence signaled by Kolmogorov scaling law, and a direct energy
cascade demonstrated by injecting energy to the turbulent superfluid. All of
these results share the same patterns as the holographic superfluid at the
standard quantization, thus suggest that these should be universal features for
quantum turbulence at temperatures order of the critical temperature.
|
[
{
"created": "Wed, 4 May 2016 09:34:26 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jun 2016 13:24:20 GMT",
"version": "v2"
}
] |
2016-07-25
|
[
[
"Lan",
"Shanquan",
""
],
[
"Tian",
"Yu",
""
],
[
"Zhang",
"Hongbao",
""
]
] |
Motivated by the various indications that holographic superfluid is BCS like at the standard quantization but BEC like at the alternative quantization, we have implemented the alternative quantization in the dynamical holographic superfluid for the first time. With this accomplishment, we further initiate the detailed investigation of quantum turbulence in finite temperature BEC by a long time stable numerical simulation of bulk dynamics, which includes the two body decay of vortex number caused by vortex pair annihilation, the onset of superfluid turbulence signaled by Kolmogorov scaling law, and a direct energy cascade demonstrated by injecting energy to the turbulent superfluid. All of these results share the same patterns as the holographic superfluid at the standard quantization, thus suggest that these should be universal features for quantum turbulence at temperatures order of the critical temperature.
|
hep-th/0602108
|
Guillermo A. Silva
|
L.G. Aldrovandi, F.A. Schaposnik and G.A. Silva
|
A coordinate-dependent superspace deformation from string theory
|
14 pages, reference added, accepted for publication in JHEP
|
JHEP0603:038,2006
|
10.1088/1126-6708/2006/03/038
| null |
hep-th
| null |
Starting from a type II superstring model defined on $R^{2,2}\times CY_6$ in
a linear graviphoton background, we derive a coordinate dependent $C$-deformed
${\cal N}=1$, $d=2+2$ superspace. The chiral fermionic coordinates $\theta$
satisfy a Clifford algebra, while the other coordinate algebra remains
unchanged. We find a linear relation between the graviphoton field strength and
the deformation parameter. The null coordinate dependence of the graviphoton
background allows to extend the results to all orders in $\alpha'$.
|
[
{
"created": "Fri, 10 Feb 2006 20:02:03 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2006 17:48:06 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Aldrovandi",
"L. G.",
""
],
[
"Schaposnik",
"F. A.",
""
],
[
"Silva",
"G. A.",
""
]
] |
Starting from a type II superstring model defined on $R^{2,2}\times CY_6$ in a linear graviphoton background, we derive a coordinate dependent $C$-deformed ${\cal N}=1$, $d=2+2$ superspace. The chiral fermionic coordinates $\theta$ satisfy a Clifford algebra, while the other coordinate algebra remains unchanged. We find a linear relation between the graviphoton field strength and the deformation parameter. The null coordinate dependence of the graviphoton background allows to extend the results to all orders in $\alpha'$.
|
1006.2124
|
Eric Perlmutter
|
Eric Perlmutter
|
Domain Wall Holography for Finite Temperature Scaling Solutions
| null |
JHEP 1102:013,2011
|
10.1007/JHEP02(2011)013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a class of near-extremal solutions of Einstein-Maxwell-scalar
theory with electric charge and power law scaling, dual to charged IR phases of
relativistic field theories at low temperature. These are exact solutions of
theories with domain wall vacua; hence, we use nonconformal holography to
relate the bulk and boundary theories. We numerically construct a global
interpolating solution between the IR charged solutions and the UV domain wall
vacua for arbitrary physical choices of Lagrangian parameters. By passing to a
conformal frame in which the domain wall metric becomes that of AdS, we uncover
a generalized scale invariance of the IR scaling solution, indicating a
connection to the physics of Lifshitz fixed points. Finally, guided by
effective field theoretic principles and the physics of nonconformal D-branes,
we argue for the applicability of domain wall holography even in theories with
AdS critical points, namely those theories for which a scalar potential is
dominated by a single exponential term over a large range.
|
[
{
"created": "Thu, 10 Jun 2010 19:35:30 GMT",
"version": "v1"
}
] |
2011-02-09
|
[
[
"Perlmutter",
"Eric",
""
]
] |
We investigate a class of near-extremal solutions of Einstein-Maxwell-scalar theory with electric charge and power law scaling, dual to charged IR phases of relativistic field theories at low temperature. These are exact solutions of theories with domain wall vacua; hence, we use nonconformal holography to relate the bulk and boundary theories. We numerically construct a global interpolating solution between the IR charged solutions and the UV domain wall vacua for arbitrary physical choices of Lagrangian parameters. By passing to a conformal frame in which the domain wall metric becomes that of AdS, we uncover a generalized scale invariance of the IR scaling solution, indicating a connection to the physics of Lifshitz fixed points. Finally, guided by effective field theoretic principles and the physics of nonconformal D-branes, we argue for the applicability of domain wall holography even in theories with AdS critical points, namely those theories for which a scalar potential is dominated by a single exponential term over a large range.
|
hep-th/0006010
|
Edward Witten
|
Edward Witten
|
Supersymmetric Index In Four-Dimensional Gauge Theories
|
66 pp
|
Adv.Theor.Math.Phys.5:841-907,2002
| null | null |
hep-th
| null |
This paper is devoted to a systematic discussion of the supersymmetric index
Tr (-1)^F for the minimal supersymmetric Yang-Mills theory -- with any simple
gauge group G -- primarily in four spacetime dimensions. The index has
refinements that probe confinement and oblique confinement and the possible
spontaneous breaking of chiral symmetry and of global symmetries, such as
charge conjugation, that are derived from outer automorphisms of the gauge
group. Predictions for the index and its refinements are obtained on the basis
of standard hypotheses about the infrared behavior of gauge theories. The
predictions are confirmed via microscopic calculations which involve a
Born-Oppenheimer computation of the spectrum as well as mathematical formulas
involving triples of commuting elements of G and the Chern-Simons invariants of
flat bundles on the three-torus.
|
[
{
"created": "Thu, 1 Jun 2000 21:32:39 GMT",
"version": "v1"
}
] |
2010-04-07
|
[
[
"Witten",
"Edward",
""
]
] |
This paper is devoted to a systematic discussion of the supersymmetric index Tr (-1)^F for the minimal supersymmetric Yang-Mills theory -- with any simple gauge group G -- primarily in four spacetime dimensions. The index has refinements that probe confinement and oblique confinement and the possible spontaneous breaking of chiral symmetry and of global symmetries, such as charge conjugation, that are derived from outer automorphisms of the gauge group. Predictions for the index and its refinements are obtained on the basis of standard hypotheses about the infrared behavior of gauge theories. The predictions are confirmed via microscopic calculations which involve a Born-Oppenheimer computation of the spectrum as well as mathematical formulas involving triples of commuting elements of G and the Chern-Simons invariants of flat bundles on the three-torus.
|
1012.3997
|
Charlotte Kristjansen
|
C. Kristjansen
|
Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
|
24 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated, v3: section on Wilson loops updated, v4:
references added, journal version
| null |
10.1007/s11005-011-0514-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the role of integrability in certain aspects of N=4 SYM which go
beyond the planar spectrum. In particular, we discuss integrability in relation
to non-planar anomalous dimensions, multi-point functions and Maldacena-Wilson
loops.
|
[
{
"created": "Fri, 17 Dec 2010 20:58:16 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 19:25:33 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jan 2011 08:23:37 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Nov 2011 14:36:29 GMT",
"version": "v4"
}
] |
2015-05-20
|
[
[
"Kristjansen",
"C.",
""
]
] |
We review the role of integrability in certain aspects of N=4 SYM which go beyond the planar spectrum. In particular, we discuss integrability in relation to non-planar anomalous dimensions, multi-point functions and Maldacena-Wilson loops.
|
1601.06914
|
Robert de Mello Koch
|
Robert de Mello Koch, Christopher Mathwin and Hendrik J.R. van Zyl
|
LLM Magnons
|
42 pages, 4 figures
| null |
10.1007/JHEP03(2016)110
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider excitations of LLM geometries described by coloring the LLM plane
with concentric black rings. Certain closed string excitations are localized at
the edges of these rings. The string theory predictions for the energies of
magnon excitations of these strings depends on the radii of the edges of the
rings. In this article we construct the operators dual to these closed string
excitations and show how to reproduce the string theory predictions for magnon
energies by computing one loop anomalous dimensions. These operators are linear
combinations of restricted Schur polynomials. The distinction between what is
the background and what is the excitation is accomplished in the choice of the
subgroup and the representations used to construct the operator.
|
[
{
"created": "Tue, 26 Jan 2016 07:50:51 GMT",
"version": "v1"
}
] |
2016-04-20
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Mathwin",
"Christopher",
""
],
[
"van Zyl",
"Hendrik J. R.",
""
]
] |
We consider excitations of LLM geometries described by coloring the LLM plane with concentric black rings. Certain closed string excitations are localized at the edges of these rings. The string theory predictions for the energies of magnon excitations of these strings depends on the radii of the edges of the rings. In this article we construct the operators dual to these closed string excitations and show how to reproduce the string theory predictions for magnon energies by computing one loop anomalous dimensions. These operators are linear combinations of restricted Schur polynomials. The distinction between what is the background and what is the excitation is accomplished in the choice of the subgroup and the representations used to construct the operator.
|
hep-th/9907146
|
Amir hossein Fatollahi
|
Shahrokh Parvizi and Amir H. Fatollahi
|
D-Particle Feynman Graphs And Their Amplitudes
|
12 pages, 2 eps figure, LaTeX
| null | null |
IPM/P-99/043
|
hep-th
| null |
It is argued that quantum traveling of D-particles presents the
``joining-splitting'' processes of field theory Feynman graphs. The amplitudes
in $d$ dimensions can be corresponded with those of a $d+2$ dimensional theory
in the Light-Cone frame. It is shown that this Light-Cone formulation enables
to study processes with arbitrary longitudinal momentum transfers. It is
discussed that a massless sector exists which can be taken as the low energy
limit. By taking the constant relative distance in the bound-states we find a
spectrum for the intermediatory fields.
|
[
{
"created": "Sat, 17 Jul 1999 11:41:21 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jul 1999 13:35:01 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Dec 1999 06:37:05 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Parvizi",
"Shahrokh",
""
],
[
"Fatollahi",
"Amir H.",
""
]
] |
It is argued that quantum traveling of D-particles presents the ``joining-splitting'' processes of field theory Feynman graphs. The amplitudes in $d$ dimensions can be corresponded with those of a $d+2$ dimensional theory in the Light-Cone frame. It is shown that this Light-Cone formulation enables to study processes with arbitrary longitudinal momentum transfers. It is discussed that a massless sector exists which can be taken as the low energy limit. By taking the constant relative distance in the bound-states we find a spectrum for the intermediatory fields.
|
2104.12625
|
Matteo Beccaria
|
Matteo Beccaria, Gerald V. Dunne, and Arkady A. Tseytlin
|
BPS Wilson loop in $\mathcal N=2$ superconformal $SU(N)$ "orientifold"
gauge theory and weak-strong coupling interpolation
|
29 pages, several pdf figures. v4: minor corrections and note added
on recent exact results in arXiv:2207.11475
| null |
10.1007/JHEP07(2021)085
|
Imperial-TP-AT-2021-02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the expectation value $\langle \cal W \rangle$ of the circular
BPS Wilson loop in ${\cal N}=2$ superconformal $SU(N)$ gauge theory containing
a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and
antisymmetric representations. This model admits a regular large $N$ expansion,
is planar-equivalent to ${\cal N}=4$ SYM theory and is expected to be dual to a
certain orbifold/orientifold projection of AdS$_5\times S^5$ superstring
theory. On the string theory side $\langle\cal W \rangle $ is represented by
the path integral expanded near the same AdS$_2$ minimal surface as in the
maximally supersymmetric case. Following the string theory argument in
arXiv:2007.08512, we suggest that as in the ${\cal N}=4$ SYM case and in the
${\cal N}=2$ $SU(N) \times SU(N)$ superconformal quiver theory discussed in
arXiv:2102.07696, the coefficient of the leading non-planar $1/N^2$ correction
in $\langle\cal W \rangle $ should have the universal $\lambda^{3/2}$ scaling
at large 't Hooft coupling. We confirm this prediction by starting with the
localization matrix model representation for $\langle\cal W \rangle $. We
complement the analytic derivation of the $\lambda^{3/2}$ scaling by a
numerical high-precision resummation and extrapolation of the weak-coupling
expansion using conformal mapping improved Pad\'e analysis.
|
[
{
"created": "Mon, 26 Apr 2021 14:52:36 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 2021 20:44:01 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Jun 2021 20:41:45 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Jul 2022 10:10:30 GMT",
"version": "v4"
}
] |
2022-07-28
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Dunne",
"Gerald V.",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] |
We consider the expectation value $\langle \cal W \rangle$ of the circular BPS Wilson loop in ${\cal N}=2$ superconformal $SU(N)$ gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This model admits a regular large $N$ expansion, is planar-equivalent to ${\cal N}=4$ SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS$_5\times S^5$ superstring theory. On the string theory side $\langle\cal W \rangle $ is represented by the path integral expanded near the same AdS$_2$ minimal surface as in the maximally supersymmetric case. Following the string theory argument in arXiv:2007.08512, we suggest that as in the ${\cal N}=4$ SYM case and in the ${\cal N}=2$ $SU(N) \times SU(N)$ superconformal quiver theory discussed in arXiv:2102.07696, the coefficient of the leading non-planar $1/N^2$ correction in $\langle\cal W \rangle $ should have the universal $\lambda^{3/2}$ scaling at large 't Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for $\langle\cal W \rangle $. We complement the analytic derivation of the $\lambda^{3/2}$ scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Pad\'e analysis.
|
1810.10601
|
Mark Van Raamsdonk
|
Sean Cooper, Moshe Rozali, Brian Swingle, Mark Van Raamsdonk,
Christopher Waddell, David Wakeham
|
Black Hole Microstate Cosmology
|
78 pages, 31 figures, LaTex
| null |
10.1007/JHEP07(2019)065
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we explore the possibility that certain high-energy holographic
CFT states correspond to black hole microstates with a geometrical
behind-the-horizon region, modelled by a portion of a second asymptotic region
terminating at an end-of-the-world (ETW) brane. We study the time-dependent
physics of this behind-the-horizon region, whose ETW boundary geometry takes
the form of a closed FRW spacetime. We show that in many cases, this
behind-the-horizon physics can be probed directly by looking at the time
dependence of entanglement entropy for sufficiently large spatial CFT
subsystems. We study in particular states defined via Euclidean evolution from
conformal boundary states and give specific predictions for the behavior of the
entanglement entropy in this case. We perform analogous calculations for the
SYK model and find qualitative agreement with our expectations.
A fascinating possibility is that for certain states, we might have gravity
localized to the ETW brane as in the Randall-Sundrum II scenario for cosmology.
In this case, the effective description of physics beyond the horizon could be
a big bang/big crunch cosmology of the same dimensionality as the CFT. In this
case, the d-dimensional CFT describing the black hole microstate would give a
precise, microscopic description of the d-dimensional cosmological physics.
|
[
{
"created": "Wed, 24 Oct 2018 20:15:19 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Cooper",
"Sean",
""
],
[
"Rozali",
"Moshe",
""
],
[
"Swingle",
"Brian",
""
],
[
"Van Raamsdonk",
"Mark",
""
],
[
"Waddell",
"Christopher",
""
],
[
"Wakeham",
"David",
""
]
] |
In this note, we explore the possibility that certain high-energy holographic CFT states correspond to black hole microstates with a geometrical behind-the-horizon region, modelled by a portion of a second asymptotic region terminating at an end-of-the-world (ETW) brane. We study the time-dependent physics of this behind-the-horizon region, whose ETW boundary geometry takes the form of a closed FRW spacetime. We show that in many cases, this behind-the-horizon physics can be probed directly by looking at the time dependence of entanglement entropy for sufficiently large spatial CFT subsystems. We study in particular states defined via Euclidean evolution from conformal boundary states and give specific predictions for the behavior of the entanglement entropy in this case. We perform analogous calculations for the SYK model and find qualitative agreement with our expectations. A fascinating possibility is that for certain states, we might have gravity localized to the ETW brane as in the Randall-Sundrum II scenario for cosmology. In this case, the effective description of physics beyond the horizon could be a big bang/big crunch cosmology of the same dimensionality as the CFT. In this case, the d-dimensional CFT describing the black hole microstate would give a precise, microscopic description of the d-dimensional cosmological physics.
|
hep-th/0503243
|
Papantonopoulos Eleftherios
|
Nick E. Mavromatos and Eleftherios Papantonopoulos
|
Induced Curvature in Brane Worlds by Surface Terms in String Effective
Actions with Higher-Curvature Corrections
|
15 pages, no figures, comments added, typos corrected, to appear in
PRD
|
Phys.Rev. D73 (2006) 026001
|
10.1103/PhysRevD.73.026001
| null |
hep-th gr-qc
| null |
In string-inspired effective actions, representing the low-energy bulk
dynamics of brane/string theories, the higher-curvature ghost-free Gauss-Bonnet
combination is obtained by local field redefinitions which leave the
(perturbative) string amplitudes invariant. We show that such redefinitions
lead to surface terms which induce curvature on the brane world boundary of the
bulk spacetime.
|
[
{
"created": "Thu, 31 Mar 2005 14:30:50 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Dec 2005 08:33:44 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Mavromatos",
"Nick E.",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
]
] |
In string-inspired effective actions, representing the low-energy bulk dynamics of brane/string theories, the higher-curvature ghost-free Gauss-Bonnet combination is obtained by local field redefinitions which leave the (perturbative) string amplitudes invariant. We show that such redefinitions lead to surface terms which induce curvature on the brane world boundary of the bulk spacetime.
|
hep-th/9606070
|
Andrei Johansen
|
A. Johansen
|
Anomalous Currents in SCFT$_4$
|
harvmac tex, 6 pages, talk given at SUSY96
|
Nucl.Phys.Proc.Suppl. 52A (1997) 357-361
|
10.1016/S0920-5632(96)00592-0
|
HUTP--96/A021
|
hep-th
| null |
We analyse the critical behaviour of anomalous currents in N=1
four-dimensional supersymmetric gauge theories in the context of
electric-magnetic duality. We show that the anomalous dimension of the Konishi
superfield is related to the slope of the beta function at the critical point.
We construct a duality map for the Konishi current in the minimal SQCD. As a
byproduct we compute the slope of the beta function in the strong coupling
regime. We note that the OPE of the stress tensor with itself does not close,
but mixes with the Konishi operator. As a result in superconformal theories in
four dimensions (SCFT$_4$) there are {\sl two} central charges; they allow us
to count both the vector multiplet and the matter multiplet effective degrees
of freedom. Some applications to N=4 SYM are discussed.
|
[
{
"created": "Wed, 12 Jun 1996 17:07:06 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Johansen",
"A.",
""
]
] |
We analyse the critical behaviour of anomalous currents in N=1 four-dimensional supersymmetric gauge theories in the context of electric-magnetic duality. We show that the anomalous dimension of the Konishi superfield is related to the slope of the beta function at the critical point. We construct a duality map for the Konishi current in the minimal SQCD. As a byproduct we compute the slope of the beta function in the strong coupling regime. We note that the OPE of the stress tensor with itself does not close, but mixes with the Konishi operator. As a result in superconformal theories in four dimensions (SCFT$_4$) there are {\sl two} central charges; they allow us to count both the vector multiplet and the matter multiplet effective degrees of freedom. Some applications to N=4 SYM are discussed.
|
2209.04880
|
Junjie Zheng
|
Sumit R. Das, Antal Jevicki and Junjie Zheng
|
Finiteness of Entanglement Entropy in Collective Field Theory
|
30 pages, 5 figures
| null |
10.1007/JHEP12(2022)052
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the question of finiteness of the entanglement entropy in
gravitational theories whose emergent space is the target space of a
holographic dual. In the well studied duality of two-dimensional non-critical
string theory and $c=1$ matrix model, this question has been studied earlier
using fermionic many-body theory in the space of eigenvalues. The entanglement
entropy of a subregion of the eigenvalue space, which is the target space
entanglement in the matrix model, is finite, with the scale being provided by
the local Fermi momentum. The Fermi momentum is, however, a position-dependent
string coupling, as is clear in the collective field theory formulation. This
suggests that the finiteness is a non-perturbative effect. We provide evidence
for this expectation by an explicit calculation in the collective field theory
of matrix quantum mechanics with vanishing potential. The leading term in the
cumulant expansion of the entanglement entropy is calculated using exact
eigenstates and eigenvalues of the collective Hamiltonian, yielding a finite
result, in precise agreement with the fermion answer. Treating the theory
perturbatively, we show that each term in the perturbation expansion is UV
divergent. However the series can be resummed, yielding the exact finite
result. Our results indicate that the finiteness of the entanglement entropy
for higher dimensional string theories is non-perturbative as well, with the
scale provided by the Newton constant.
|
[
{
"created": "Sun, 11 Sep 2022 14:33:26 GMT",
"version": "v1"
}
] |
2022-12-28
|
[
[
"Das",
"Sumit R.",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Zheng",
"Junjie",
""
]
] |
We explore the question of finiteness of the entanglement entropy in gravitational theories whose emergent space is the target space of a holographic dual. In the well studied duality of two-dimensional non-critical string theory and $c=1$ matrix model, this question has been studied earlier using fermionic many-body theory in the space of eigenvalues. The entanglement entropy of a subregion of the eigenvalue space, which is the target space entanglement in the matrix model, is finite, with the scale being provided by the local Fermi momentum. The Fermi momentum is, however, a position-dependent string coupling, as is clear in the collective field theory formulation. This suggests that the finiteness is a non-perturbative effect. We provide evidence for this expectation by an explicit calculation in the collective field theory of matrix quantum mechanics with vanishing potential. The leading term in the cumulant expansion of the entanglement entropy is calculated using exact eigenstates and eigenvalues of the collective Hamiltonian, yielding a finite result, in precise agreement with the fermion answer. Treating the theory perturbatively, we show that each term in the perturbation expansion is UV divergent. However the series can be resummed, yielding the exact finite result. Our results indicate that the finiteness of the entanglement entropy for higher dimensional string theories is non-perturbative as well, with the scale provided by the Newton constant.
|
1911.00042
|
Shu-Heng Shao
|
Ying-Hsuan Lin and Shu-Heng Shao
|
Duality Defect of the Monster CFT
|
26+9 pages, 7 figure, 4 tables. v2: minor changes
| null | null |
CALT-TH-2019-043
|
hep-th cond-mat.str-el math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the fermionization of the Monster CFT with respect to
$\mathbb{Z}_{2A}$ is the tensor product of a free fermion and the Baby Monster
CFT. The chiral fermion parity of the free fermion implies that the Monster CFT
is self-dual under the $\mathbb{Z}_{2A}$ orbifold, i.e. it enjoys the
Kramers-Wannier duality. The Kramers-Wannier duality defect extends the Monster
group to a larger category of topological defect lines that contains an Ising
subcategory. We introduce the defect McKay-Thompson series defined as the
Monster partition function twisted by the duality defect, and find that the
coefficients can be decomposed into the dimensions of the (projective)
irreducible representations of the Baby Monster group. We further prove that
the defect McKay-Thompson series is invariant under the genus-zero congruence
subgroup $16D^0$ of $PSL(2,\mathbb{Z})$.
|
[
{
"created": "Thu, 31 Oct 2019 18:17:55 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Oct 2023 02:14:11 GMT",
"version": "v2"
}
] |
2023-10-26
|
[
[
"Lin",
"Ying-Hsuan",
""
],
[
"Shao",
"Shu-Heng",
""
]
] |
We show that the fermionization of the Monster CFT with respect to $\mathbb{Z}_{2A}$ is the tensor product of a free fermion and the Baby Monster CFT. The chiral fermion parity of the free fermion implies that the Monster CFT is self-dual under the $\mathbb{Z}_{2A}$ orbifold, i.e. it enjoys the Kramers-Wannier duality. The Kramers-Wannier duality defect extends the Monster group to a larger category of topological defect lines that contains an Ising subcategory. We introduce the defect McKay-Thompson series defined as the Monster partition function twisted by the duality defect, and find that the coefficients can be decomposed into the dimensions of the (projective) irreducible representations of the Baby Monster group. We further prove that the defect McKay-Thompson series is invariant under the genus-zero congruence subgroup $16D^0$ of $PSL(2,\mathbb{Z})$.
|
1501.02790
|
Ahmet Emir Gumrukcuoglu
|
A. Emir Gumrukcuoglu, Lavinia Heisenberg, Shinji Mukohyama, Norihiro
Tanahashi
|
Cosmology in bimetric theory with an effective composite coupling to
matter
|
22 pages
| null |
10.1088/1475-7516/2015/04/008
|
IPMU15-0004
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the cosmology of bimetric theory with a composite matter coupling.
We find two possible branches of background evolution. We investigate the
question of stability of cosmological perturbations. For the tensor and vector
perturbations, we derive conditions on the absence of ghost and gradient
instabilities. For the scalar modes, we obtain conditions for avoiding ghost
degrees. In the first branch, we find that one of the scalar modes becomes a
ghost at the late stages of the evolution. Conversely, this problem can be
avoided in the second branch. However, we also find that the constraint for the
second branch prevents the doubly coupled matter fields from being the standard
ingredients of cosmology. We thus conclude that a realistic and stable
cosmological model requires additional minimally coupled matter fields.
|
[
{
"created": "Mon, 12 Jan 2015 20:27:28 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Gumrukcuoglu",
"A. Emir",
""
],
[
"Heisenberg",
"Lavinia",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Tanahashi",
"Norihiro",
""
]
] |
We study the cosmology of bimetric theory with a composite matter coupling. We find two possible branches of background evolution. We investigate the question of stability of cosmological perturbations. For the tensor and vector perturbations, we derive conditions on the absence of ghost and gradient instabilities. For the scalar modes, we obtain conditions for avoiding ghost degrees. In the first branch, we find that one of the scalar modes becomes a ghost at the late stages of the evolution. Conversely, this problem can be avoided in the second branch. However, we also find that the constraint for the second branch prevents the doubly coupled matter fields from being the standard ingredients of cosmology. We thus conclude that a realistic and stable cosmological model requires additional minimally coupled matter fields.
|
hep-th/0209125
|
Dmitri Vassilevich
|
P. Gilkey, K. Kirsten, D. Vassilevich, A. Zelnikov
|
Duality symmetry of the p-form effective action and super trace of the
twisted de Rham complex
|
elsart latex, 18pp
|
Nucl.Phys. B648 (2003) 542-556
|
10.1016/S0550-3213(02)00975-6
| null |
hep-th
| null |
We consider quantum p-form fields interacting with a background dilaton. We
calculate the variation with respect to the dilaton of a difference of the
effective actions in the models related by a duality transformation. We show
that this variation is defined essentially by the supertrace of the twisted de
Rham complex. The supertrace is then evaluated on a manifold of an arbitrary
dimension, with or without boundary.
|
[
{
"created": "Sun, 15 Sep 2002 16:28:52 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Sep 2002 13:47:01 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Gilkey",
"P.",
""
],
[
"Kirsten",
"K.",
""
],
[
"Vassilevich",
"D.",
""
],
[
"Zelnikov",
"A.",
""
]
] |
We consider quantum p-form fields interacting with a background dilaton. We calculate the variation with respect to the dilaton of a difference of the effective actions in the models related by a duality transformation. We show that this variation is defined essentially by the supertrace of the twisted de Rham complex. The supertrace is then evaluated on a manifold of an arbitrary dimension, with or without boundary.
|
hep-th/0110049
|
Alan Coley
|
A. Coley
|
Dynamics of Brane-World Cosmological Models
|
Final version. To appear in Physical Review
|
Phys.Rev. D66 (2002) 023512
|
10.1103/PhysRevD.66.023512
| null |
hep-th gr-qc
| null |
We show that generically the initial singularity is isotropic in spatially
homogeneous cosmological models in the brane-world scenario. We then argue that
it is plausible that the initial singularity is isotropic in typical brane
world cosmological models. Therefore, brane cosmology naturally gives rise to a
set of initial data that provide the conditions for inflation to subsequently
take place, thereby solving the initial conditions problem and leading to a
self--consistent and viable cosmology.
|
[
{
"created": "Thu, 4 Oct 2001 21:01:00 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2002 16:14:21 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Coley",
"A.",
""
]
] |
We show that generically the initial singularity is isotropic in spatially homogeneous cosmological models in the brane-world scenario. We then argue that it is plausible that the initial singularity is isotropic in typical brane world cosmological models. Therefore, brane cosmology naturally gives rise to a set of initial data that provide the conditions for inflation to subsequently take place, thereby solving the initial conditions problem and leading to a self--consistent and viable cosmology.
|
hep-th/0511256
|
J. P. Ma
|
Chao-Zheng Zha (Xinjiang University, China)
|
Coupling Constants in Asymptotic Expansions
|
Author's e-mail: czz@xju.edu.cn, minor changes
| null | null | null |
hep-th
| null |
Perturbation theory is a powerful tool in manipulating dynamical system.
However, it is legal only for infinitesimal perturbations. We propose to
dispose this problem by means of perturbation group, and find that the coupling
constant approaches to zero in the limit of high order perturbations as Dyson
once expected.
|
[
{
"created": "Fri, 25 Nov 2005 02:30:35 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Nov 2005 00:30:43 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Dec 2005 01:03:17 GMT",
"version": "v3"
},
{
"created": "Tue, 6 Dec 2005 08:19:58 GMT",
"version": "v4"
},
{
"created": "Fri, 16 Dec 2005 01:16:30 GMT",
"version": "v5"
}
] |
2007-05-23
|
[
[
"Zha",
"Chao-Zheng",
"",
"Xinjiang University, China"
]
] |
Perturbation theory is a powerful tool in manipulating dynamical system. However, it is legal only for infinitesimal perturbations. We propose to dispose this problem by means of perturbation group, and find that the coupling constant approaches to zero in the limit of high order perturbations as Dyson once expected.
|
2309.12926
|
Wei-Hsiang Shao
|
Pei-Ming Ho, Yosuke Imamura, Hikaru Kawai, Wei-Hsiang Shao
|
A Stringy Effect on Hawking Radiation
|
27 pages, 1 figure; references and comments added, updated to match
the published version
|
JHEP 12 (2023) 122
|
10.1007/JHEP12(2023)122
|
TIT/HEP-697
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In string theories, interactions are exponentially suppressed for
trans-Planckian space-like external momenta. We study a class of quantum field
theories that exhibit this feature modeled after Witten's bosonic open string
field theory, and discover a Lorentz-invariant UV/IR relation that leads to the
spacetime uncertainty principle proposed by Yoneya. Application to a dynamical
black hole background suggests that Hawking radiation is turned off around the
scrambling time.
|
[
{
"created": "Fri, 22 Sep 2023 15:24:26 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jan 2024 08:56:51 GMT",
"version": "v2"
}
] |
2024-01-03
|
[
[
"Ho",
"Pei-Ming",
""
],
[
"Imamura",
"Yosuke",
""
],
[
"Kawai",
"Hikaru",
""
],
[
"Shao",
"Wei-Hsiang",
""
]
] |
In string theories, interactions are exponentially suppressed for trans-Planckian space-like external momenta. We study a class of quantum field theories that exhibit this feature modeled after Witten's bosonic open string field theory, and discover a Lorentz-invariant UV/IR relation that leads to the spacetime uncertainty principle proposed by Yoneya. Application to a dynamical black hole background suggests that Hawking radiation is turned off around the scrambling time.
|
1512.06870
|
Daniel Fernando Higuita Borja
|
Eloy Ay\'on-Beato, Mokhtar Hassa\"ine and Daniel Higuita-Borja
|
Role of symmetries in the Kerr-Schild derivation of the Kerr black hole
| null |
Phys. Rev. D 94, 064073 (2016)
|
10.1103/PhysRevD.94.064073
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we explore the consequences of considering from the very
beginning the stationary and axisymmetric properties of the Kerr black hole as
one attempts to derive this solution through the Kerr-Schild ansatz. The first
consequence is kinematical and is based on a new stationary and axisymmetric
version of the Kerr theorem that yields to the precise shear-free and geodesic
null congruence of flat spacetime characterizing the Kerr solution. A
straightforward advantage of this strategy is that now the parameter $a$
appears naturally as associated to the conserved angular momentum of the
geodesics due to axisymmetry. The second consequence is dynamical and takes
into account the circularity theorem. In fact, a stationary-axisymmetric
Kerr-Schild ansatz is in general incompatible with the circularity property
warranted by vacuum Einstein equations unless the remaining angular dependence
in the Kerr-Schild profile appears fixed in a precise way. Thanks to these two
ingredients, the integration of the Einstein equations reduces to a simple
ordinary differential equation on the radial dependence, whose integration
constant is precisely the mass $m$. This derivation of the Kerr solution is
simple but rigorous, and it may be suitable for any textbook.
|
[
{
"created": "Mon, 21 Dec 2015 21:08:04 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2016 20:56:05 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Jul 2017 18:32:26 GMT",
"version": "v3"
}
] |
2017-07-19
|
[
[
"Ayón-Beato",
"Eloy",
""
],
[
"Hassaïne",
"Mokhtar",
""
],
[
"Higuita-Borja",
"Daniel",
""
]
] |
In this work we explore the consequences of considering from the very beginning the stationary and axisymmetric properties of the Kerr black hole as one attempts to derive this solution through the Kerr-Schild ansatz. The first consequence is kinematical and is based on a new stationary and axisymmetric version of the Kerr theorem that yields to the precise shear-free and geodesic null congruence of flat spacetime characterizing the Kerr solution. A straightforward advantage of this strategy is that now the parameter $a$ appears naturally as associated to the conserved angular momentum of the geodesics due to axisymmetry. The second consequence is dynamical and takes into account the circularity theorem. In fact, a stationary-axisymmetric Kerr-Schild ansatz is in general incompatible with the circularity property warranted by vacuum Einstein equations unless the remaining angular dependence in the Kerr-Schild profile appears fixed in a precise way. Thanks to these two ingredients, the integration of the Einstein equations reduces to a simple ordinary differential equation on the radial dependence, whose integration constant is precisely the mass $m$. This derivation of the Kerr solution is simple but rigorous, and it may be suitable for any textbook.
|
hep-th/9305123
| null |
Sidney Coleman and Shane Hughes
|
Black Holes, Wormholes, and the Disappearance of Global Charge
|
12 pages (1 figure available upon request); HUTP-93/A014
|
Phys.Lett.B309:246-251,1993
|
10.1016/0370-2693(93)90928-B
| null |
hep-th gr-qc
| null |
One of the paradoxes associated with the theory of the formation and
subsequent Hawking evaporation of a black hole is the disappearance of
conserved global charges. It has long been known that metric fluctuations at
short distances (wormholes) violate global-charge conservation; if global
charges are apparently conserved at ordinary energies, it is only because
wormhole-induced global-charge-violating terms in the low-energy effective
Lagrangian are suppressed by large mass denominators. However, such suppressed
interactions can become important at the high energy densities inside a
collapsing star. We analyze this effect for a simple model of the black-hole
singularity. (Our analysis is totally independent of any detailed theory of
wormhole dynamics; in particular it does not depend on the wormhole theory of
the vanishing of the cosmological constant.) We find that in general all charge
is extinguished before the infalling matter crosses the singularity. No global
charge appears in the outgoing Hawking radiation because it has all gone down
the wormholes.
|
[
{
"created": "Mon, 24 May 1993 18:20:25 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Coleman",
"Sidney",
""
],
[
"Hughes",
"Shane",
""
]
] |
One of the paradoxes associated with the theory of the formation and subsequent Hawking evaporation of a black hole is the disappearance of conserved global charges. It has long been known that metric fluctuations at short distances (wormholes) violate global-charge conservation; if global charges are apparently conserved at ordinary energies, it is only because wormhole-induced global-charge-violating terms in the low-energy effective Lagrangian are suppressed by large mass denominators. However, such suppressed interactions can become important at the high energy densities inside a collapsing star. We analyze this effect for a simple model of the black-hole singularity. (Our analysis is totally independent of any detailed theory of wormhole dynamics; in particular it does not depend on the wormhole theory of the vanishing of the cosmological constant.) We find that in general all charge is extinguished before the infalling matter crosses the singularity. No global charge appears in the outgoing Hawking radiation because it has all gone down the wormholes.
|
hep-th/0307071
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov
|
Where new gravitational physics comes from: M-theory?
|
LaTeX file, 14 pages, minor changes, version to appear in PLB
|
Phys.Lett.B576:5-11,2003
|
10.1016/j.physletb.2003.09.091
| null |
hep-th astro-ph hep-ph
| null |
It is suggested \cite{CDTT} that current cosmic acceleration arises due to
modification of General Relativity by the terms with negative powers of
curvature. We show that time-dependent (hyperbolic) compactifications of
string/M-theory lead to the effective 4d gravity which naturally contains such
terms. The same may be achieved in braneworld by the proper choice of the
boundary action. Hence, such a model which seems to eliminate the need for dark
energy may have the origin in M-theory.
|
[
{
"created": "Tue, 8 Jul 2003 09:38:55 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2003 09:09:55 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Oct 2003 05:49:56 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
It is suggested \cite{CDTT} that current cosmic acceleration arises due to modification of General Relativity by the terms with negative powers of curvature. We show that time-dependent (hyperbolic) compactifications of string/M-theory lead to the effective 4d gravity which naturally contains such terms. The same may be achieved in braneworld by the proper choice of the boundary action. Hence, such a model which seems to eliminate the need for dark energy may have the origin in M-theory.
|
hep-th/9311101
|
Anuradha Misra
|
Anuradha Misra
|
Coherent States in Null-Plane Q.E.D
|
20 pages and two figures, REVTEX, ITP-SB-93-75
|
Phys.Rev. D50 (1994) 4088-4096
|
10.1103/PhysRevD.50.4088
| null |
hep-th
| null |
Light front field theories are known to have the usual infra-red divergences
of the equal time theories, as wellas new `spurious' infra-red divergences. The
formar kind of IR divergences are usually treated by giving a small mass to the
gauge particle. An alternative method to deal with these divergences is to
calculate the transition matrix elements in a coherent state basis. In this
paper we present, as a model calculation the lowest order correction to the
three point vertex in QED using a coherent state basis in the light cone
formalism. The relevant transition matrix element is shown to be free of the
true IR divergences up to $O(e^2)$.
|
[
{
"created": "Wed, 17 Nov 1993 19:04:12 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Misra",
"Anuradha",
""
]
] |
Light front field theories are known to have the usual infra-red divergences of the equal time theories, as wellas new `spurious' infra-red divergences. The formar kind of IR divergences are usually treated by giving a small mass to the gauge particle. An alternative method to deal with these divergences is to calculate the transition matrix elements in a coherent state basis. In this paper we present, as a model calculation the lowest order correction to the three point vertex in QED using a coherent state basis in the light cone formalism. The relevant transition matrix element is shown to be free of the true IR divergences up to $O(e^2)$.
|
1007.0338
|
Dirk Kreimer
|
Spencer Bloch and Dirk Kreimer
|
Feynman amplitudes and Landau singularities for 1-loop graphs
|
31p
| null | null |
IHES M/10/20
|
hep-th math-ph math.AG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use mixed Hodge structures to investigate Feynman amplitudes as functions
of external momenta and masses.
|
[
{
"created": "Fri, 2 Jul 2010 11:12:47 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 2010 18:01:48 GMT",
"version": "v2"
}
] |
2010-07-27
|
[
[
"Bloch",
"Spencer",
""
],
[
"Kreimer",
"Dirk",
""
]
] |
We use mixed Hodge structures to investigate Feynman amplitudes as functions of external momenta and masses.
|
1504.07262
|
Knut Bakke
|
H. Belich and K. Bakke
|
Relativistic scalar particle subject to a confining potential and
Lorentz symmetry breaking effects in the cosmic string spacetime
|
16 pages, no figure. arXiv admin note: text overlap with
arXiv:1407.6279, arXiv:1412.5080
| null |
10.1142/S0217751X16500263
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The behaviour of a relativistic scalar particle subject to a scalar potential
under the effects of the violation of the Lorentz symmetry in the cosmic string
spacetime is discussed. It is considered two possible scenarios of the Lorentz
symmetry breaking in the CPT-even gauge sector of the Standard Model Extension
defined by a tensor $\left(K_{F}\right)_{\mu\nu\alpha\beta}$. Then, by
introducing a scalar potential as a modification of the mass term of the
Klein-Gordon equation, it is shown that the Klein-Gordon equation in the cosmic
string spacetime is modified by the effects of the Lorentz symmetry violation
backgrounds and bound state solution to the Klein-Gordon equation can be
obtained.
|
[
{
"created": "Mon, 27 Apr 2015 20:09:55 GMT",
"version": "v1"
}
] |
2016-03-16
|
[
[
"Belich",
"H.",
""
],
[
"Bakke",
"K.",
""
]
] |
The behaviour of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string spacetime is discussed. It is considered two possible scenarios of the Lorentz symmetry breaking in the CPT-even gauge sector of the Standard Model Extension defined by a tensor $\left(K_{F}\right)_{\mu\nu\alpha\beta}$. Then, by introducing a scalar potential as a modification of the mass term of the Klein-Gordon equation, it is shown that the Klein-Gordon equation in the cosmic string spacetime is modified by the effects of the Lorentz symmetry violation backgrounds and bound state solution to the Klein-Gordon equation can be obtained.
|
1008.0946
|
Subir Ghosh
|
Subir Ghosh
|
Black Hole Entropy: From Shannon to Bekenstein
|
9 pages Latex, Comments are welcome; Thoroughly revised version,
reference and acknowledgements sections enlarged, numerical error in final
result corrected, no major changes, to appear in IJTP
| null |
10.1007/s10773-011-0859-y
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we have applied directly the Shannon formula for information
theory entropy to derive the Black Hole (Bekenstein-Hawking) entropy. Our
analysis is semi-classical in nature since we use the (recently proposed [8])
quantum mechanical near horizon mode functions to compute the tunneling
probability that goes in to the Shannon formula, following the general idea of
[5]. Our framework conforms to the information theoretic origin of Black Hole
entropy, as originally proposed by Bekenstein.
|
[
{
"created": "Thu, 5 Aug 2010 11:21:56 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Aug 2010 06:39:04 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jun 2011 07:59:58 GMT",
"version": "v3"
}
] |
2015-05-19
|
[
[
"Ghosh",
"Subir",
""
]
] |
In this note we have applied directly the Shannon formula for information theory entropy to derive the Black Hole (Bekenstein-Hawking) entropy. Our analysis is semi-classical in nature since we use the (recently proposed [8]) quantum mechanical near horizon mode functions to compute the tunneling probability that goes in to the Shannon formula, following the general idea of [5]. Our framework conforms to the information theoretic origin of Black Hole entropy, as originally proposed by Bekenstein.
|
0909.2428
|
Marco Frasca
|
Marco Frasca
|
Exact solution of Dyson-Schwinger equations for a scalar field theory
|
7 pages, no figure. Improved derivation of the propagator, added some
sentences for the Yang-Mills theory and adjusted references
| null | null | null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We exactly solve Dyson-Schwinger equations for a massless quartic scalar
field theory. n-point functions are computed till n=4 and the exact propagator
computed from the two-point function. The spectrum is so obtained, being the
same of a harmonic oscillator. Callan-Symanzik equation for the two-point
function gives the beta function. This gives the result that this theory has
only trivial fixed points. In the low-energy limit the coupling goes to zero
making the theory trivial and, at high energies, it reaches infinity. No Landau
pole appears, rather this should be seen as a precursor, in a weak perturbation
expansion, of the coupling reaching the trivial fixed point at infinity. Using
a mapping theorem, recently proved, between massless quartic scalar field
theory and gauge theories, we derive some properties of the latter.
|
[
{
"created": "Sun, 13 Sep 2009 16:50:51 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Feb 2010 14:28:47 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Oct 2012 10:29:48 GMT",
"version": "v3"
}
] |
2012-10-29
|
[
[
"Frasca",
"Marco",
""
]
] |
We exactly solve Dyson-Schwinger equations for a massless quartic scalar field theory. n-point functions are computed till n=4 and the exact propagator computed from the two-point function. The spectrum is so obtained, being the same of a harmonic oscillator. Callan-Symanzik equation for the two-point function gives the beta function. This gives the result that this theory has only trivial fixed points. In the low-energy limit the coupling goes to zero making the theory trivial and, at high energies, it reaches infinity. No Landau pole appears, rather this should be seen as a precursor, in a weak perturbation expansion, of the coupling reaching the trivial fixed point at infinity. Using a mapping theorem, recently proved, between massless quartic scalar field theory and gauge theories, we derive some properties of the latter.
|
hep-th/0202208
|
Mina Aganagic
|
Bobby Acharya, Mina Aganagic, Kentaro Hori and Cumrun Vafa
|
Orientifolds, Mirror Symmetry and Superpotentials
|
17 pages
| null | null |
HUTP-01/A073, RUNHETC-2002-06
|
hep-th
| null |
We consider orientifolds of Calabi-Yau 3-folds in the context of Type IIA and
Type IIB superstrings. We show how mirror symmetry can be used to sum up
worldsheet instanton contributions to the superpotential for Type IIA
superstrings. The relevant worldsheets have the topology of the disc and ${\bf
RP^2}$.
|
[
{
"created": "Thu, 28 Feb 2002 17:12:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Acharya",
"Bobby",
""
],
[
"Aganagic",
"Mina",
""
],
[
"Hori",
"Kentaro",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We consider orientifolds of Calabi-Yau 3-folds in the context of Type IIA and Type IIB superstrings. We show how mirror symmetry can be used to sum up worldsheet instanton contributions to the superpotential for Type IIA superstrings. The relevant worldsheets have the topology of the disc and ${\bf RP^2}$.
|
hep-th/9802190
|
Troels Harmark
|
Troels Harmark
|
Coupling Constants and Brane Tensions from Anomaly Cancellation in
M-theory
|
12 pages, Latex2e, minor errors corrected
|
Phys.Lett. B431 (1998) 295-302
|
10.1016/S0370-2693(98)00586-3
|
NBI-HE-98-07
|
hep-th
| null |
The theory of eleven dimensional supergravity on R^10 x S^1/Z_2 with super
Yang-Mills theory on the boundaries is reconsidered. We analyse the general
solution of the modified Bianchi identity for the four-form field strength
using the equations of motion for the three-form and find that the four-form
field strength has a unique value on the boundaries of R^10 x S^1/Z_2.
Considering the local supersymmetry in the "downstairs" approach this leads to
a relation between the eleven dimensional supergravity coupling constants in
the "upstairs" and "downstairs" approaches. Moreover, it is shown using flux
quantization that the brane tensions only have their standard form in the
"downstairs" units. We consider the gauge variation of the classical theory and
find that it cannot be gauge invariant, contrary to a recent claim. Finally we
consider anomaly cancellation in the "downstairs" and "upstairs" approaches and
obtain the values of lambda^6/kappa^4 and the two- and five-brane tensions.
|
[
{
"created": "Thu, 26 Feb 1998 14:48:59 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 1998 17:08:02 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Harmark",
"Troels",
""
]
] |
The theory of eleven dimensional supergravity on R^10 x S^1/Z_2 with super Yang-Mills theory on the boundaries is reconsidered. We analyse the general solution of the modified Bianchi identity for the four-form field strength using the equations of motion for the three-form and find that the four-form field strength has a unique value on the boundaries of R^10 x S^1/Z_2. Considering the local supersymmetry in the "downstairs" approach this leads to a relation between the eleven dimensional supergravity coupling constants in the "upstairs" and "downstairs" approaches. Moreover, it is shown using flux quantization that the brane tensions only have their standard form in the "downstairs" units. We consider the gauge variation of the classical theory and find that it cannot be gauge invariant, contrary to a recent claim. Finally we consider anomaly cancellation in the "downstairs" and "upstairs" approaches and obtain the values of lambda^6/kappa^4 and the two- and five-brane tensions.
|
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