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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0010058
|
Miao Li
|
Miao Li
|
Note on Noncommutative Tachyon in Matrix Models
|
14 pages, harvmac. v3: more typos corrected, a ref. added
|
Nucl.Phys.B602:201-212,2001
|
10.1016/S0550-3213(01)00125-0
| null |
hep-th
| null |
The solution representing a brane-anti-brane system in matrix models breaks
the usual matrix spacetime symmetry. We show that the spacetime symmetry on the
branes is not breaking, rather appears as a combination of the matrix spacetime
transformation and a gauge transformation. As a result, the tachyon field,
itself an off-diagonal entry in longitudinal matrices, transforms nontrivially
under rotations, decomposing into tensors of different ranks. We also show that
the tachyon field can never be gauged away, and conjecture that this field is
related to the usual complex scalar tachyon by a field redefinition. We also
briefly discuss tachyon condensation.
|
[
{
"created": "Mon, 9 Oct 2000 16:17:26 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Oct 2000 06:28:29 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Oct 2000 06:27:25 GMT",
"version": "v3"
}
] |
2010-11-19
|
[
[
"Li",
"Miao",
""
]
] |
The solution representing a brane-anti-brane system in matrix models breaks the usual matrix spacetime symmetry. We show that the spacetime symmetry on the branes is not breaking, rather appears as a combination of the matrix spacetime transformation and a gauge transformation. As a result, the tachyon field, itself an off-diagonal entry in longitudinal matrices, transforms nontrivially under rotations, decomposing into tensors of different ranks. We also show that the tachyon field can never be gauged away, and conjecture that this field is related to the usual complex scalar tachyon by a field redefinition. We also briefly discuss tachyon condensation.
|
2407.07195
|
Arpan Bhattacharyya
|
Arpan Bhattacharyya, Debodirna Ghosh, Saptaswa Ghosh, Sounak Pal
|
Bootstrapping spinning two body problem in dynamical Chern-Simons
gravity using worldline QFT
|
57 Pages
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we compute the WQFT partition function, specifically the
eikonal phase in a black hole scattering event in the dynamical Chern-Simons
theory, using the techniques of spinning worldline quantum field theory. We
consider the scattering of spinning black holes and highlight the necessary
details for the calculation of the partition function. We present the
$\epsilon$-expansion of the essential two-loop integrals using
Integration-by-Parts (IBP) reduction and differential equation techniques,
which we then utilize to compute the linear-in-order spin eikonal phase up to
3PM. Additionally, we discuss the dependence of the phase on the spin
orientations of the black holes.
|
[
{
"created": "Tue, 9 Jul 2024 19:24:13 GMT",
"version": "v1"
}
] |
2024-07-11
|
[
[
"Bhattacharyya",
"Arpan",
""
],
[
"Ghosh",
"Debodirna",
""
],
[
"Ghosh",
"Saptaswa",
""
],
[
"Pal",
"Sounak",
""
]
] |
In this paper, we compute the WQFT partition function, specifically the eikonal phase in a black hole scattering event in the dynamical Chern-Simons theory, using the techniques of spinning worldline quantum field theory. We consider the scattering of spinning black holes and highlight the necessary details for the calculation of the partition function. We present the $\epsilon$-expansion of the essential two-loop integrals using Integration-by-Parts (IBP) reduction and differential equation techniques, which we then utilize to compute the linear-in-order spin eikonal phase up to 3PM. Additionally, we discuss the dependence of the phase on the spin orientations of the black holes.
|
2312.14048
|
Jean-Luc Lehners
|
Jean-Luc Lehners and K. S. Stelle
|
Higher-Order Gravity, Finite Action, and a Safe Beginning for the
Universe
|
18 pages, contribution to the EPJP focus issue on "Higher Derivatives
in Quantum Gravity: Theory, Tests, Phenomenology"
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
General relativity allows for inhomogeneous and anisotropic universes with
finite action. By contrast, in quadratic gravity such solutions obtain infinite
action and are thus eliminated. What remains are homogeneous and isotropic
solutions undergoing accelerated expansion, thereby automatically inducing an
early inflationary phase. In this manner, semi-classical consistency may
explain some of the basic, coarse-grained features of the early universe. This
includes suitable initial conditions for the second law of thermodynamics, in
the spirit of the Weyl curvature hypothesis. We note that quadratic gravity is
a renormalisable theory and may admit an asymptotically safe regime at high
energies, rendering the theory trustworthy to high energies. We also comment on
theories containing curvature terms up to infinite derivative order, and on the
contrast with no-boundary initial conditions.
|
[
{
"created": "Thu, 21 Dec 2023 17:17:06 GMT",
"version": "v1"
}
] |
2023-12-22
|
[
[
"Lehners",
"Jean-Luc",
""
],
[
"Stelle",
"K. S.",
""
]
] |
General relativity allows for inhomogeneous and anisotropic universes with finite action. By contrast, in quadratic gravity such solutions obtain infinite action and are thus eliminated. What remains are homogeneous and isotropic solutions undergoing accelerated expansion, thereby automatically inducing an early inflationary phase. In this manner, semi-classical consistency may explain some of the basic, coarse-grained features of the early universe. This includes suitable initial conditions for the second law of thermodynamics, in the spirit of the Weyl curvature hypothesis. We note that quadratic gravity is a renormalisable theory and may admit an asymptotically safe regime at high energies, rendering the theory trustworthy to high energies. We also comment on theories containing curvature terms up to infinite derivative order, and on the contrast with no-boundary initial conditions.
|
1801.10376
|
Josef Kluson
|
J. Kluson
|
Hamiltonian For String in Newton-Cartan Background
|
16 pages, v2:published version
|
Phys. Rev. D 98, 086010 (2018)
|
10.1103/PhysRevD.98.086010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is devoted to the construction of the Hamiltonian for
non-relativistic string in the Newton-Cartan background. We start with the
Hamiltonian for relativistic string in general background. Then we perform
limiting procedure on the metric that leads to Newton-Cartan background. We
determine constraint structure for non-relativistic string and show that these
constraints are the first class constraints. Then we determine corresponding
Lagrangian and discuss its properties.
|
[
{
"created": "Wed, 31 Jan 2018 09:53:46 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2018 10:09:12 GMT",
"version": "v2"
}
] |
2018-12-13
|
[
[
"Kluson",
"J.",
""
]
] |
This paper is devoted to the construction of the Hamiltonian for non-relativistic string in the Newton-Cartan background. We start with the Hamiltonian for relativistic string in general background. Then we perform limiting procedure on the metric that leads to Newton-Cartan background. We determine constraint structure for non-relativistic string and show that these constraints are the first class constraints. Then we determine corresponding Lagrangian and discuss its properties.
|
1101.4948
|
Raul Jimenez
|
Luis Alvarez-Gaume, Cesar Gomez, Raul Jimenez
|
A Minimal Inflation Scenario
|
matches published version (typo corrected)
|
JCAP 1103:027,2011
|
10.1088/1475-7516/2011/03/027
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We elaborate on a minimal inflation scenario based entirely on the general
properties of supersymmetry breaking in supergravity models. We identify the
inflaton as the scalar component of the Goldstino superfield. We write
plausible candidates for the effective action describing this chiral
superfield. In particular the theory depends (apart from parameters of O(1)) on
a single free parameter: the scale of supersymmetry breaking. This can be fixed
using the amplitude of CMB cosmological perturbations and we therefore obtain
the scale of supersymmetry breaking to be 10^{12-14} GeV. The model also
incorporates explicit R-symmetry breaking in order to satisfy the slow roll
conditions. In our model the eta-problem is solved without extra fine-tuning.
We try to obtain as much information as possible in a model independent way
using general symmetry properties of the theory's effective action, this leads
to a new proposal on how to exit the inflationary phase and reheat the
Universe.
|
[
{
"created": "Tue, 25 Jan 2011 21:03:33 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2011 15:49:54 GMT",
"version": "v2"
}
] |
2011-10-19
|
[
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Jimenez",
"Raul",
""
]
] |
We elaborate on a minimal inflation scenario based entirely on the general properties of supersymmetry breaking in supergravity models. We identify the inflaton as the scalar component of the Goldstino superfield. We write plausible candidates for the effective action describing this chiral superfield. In particular the theory depends (apart from parameters of O(1)) on a single free parameter: the scale of supersymmetry breaking. This can be fixed using the amplitude of CMB cosmological perturbations and we therefore obtain the scale of supersymmetry breaking to be 10^{12-14} GeV. The model also incorporates explicit R-symmetry breaking in order to satisfy the slow roll conditions. In our model the eta-problem is solved without extra fine-tuning. We try to obtain as much information as possible in a model independent way using general symmetry properties of the theory's effective action, this leads to a new proposal on how to exit the inflationary phase and reheat the Universe.
|
2006.10294
|
June Nahmgoong
|
Kimyeong Lee and June Nahmgoong
|
Cardy Limits of 6d Superconformal Theories
|
38 pages, 8 figures
| null |
10.1007/JHEP05(2021)118
|
KIAS-P20030
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the supersymmetric partition functions of 6d SCFTs on
$\mathbb{R}^4\times T^2$ with non-vanishing charges for compatible global
symmetries. We utilize the elliptic genera for self-dual strings and compute
the free energy of 6d SCFTs in the Cardy limit. For a 6d (2,0) theory on $N$
M5-brane, we obtain the free energy proportional to $N^3$. We find that the
origin of $N^3$ comes from the condensation of the self-dual strings, whose
total number is proportional to ${N^3-N\over 6}$. We further extend our
analysis to the general E-string theory and obtain its Cardy free energy.
|
[
{
"created": "Thu, 18 Jun 2020 06:11:42 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jan 2021 02:08:46 GMT",
"version": "v2"
}
] |
2021-06-02
|
[
[
"Lee",
"Kimyeong",
""
],
[
"Nahmgoong",
"June",
""
]
] |
We explore the supersymmetric partition functions of 6d SCFTs on $\mathbb{R}^4\times T^2$ with non-vanishing charges for compatible global symmetries. We utilize the elliptic genera for self-dual strings and compute the free energy of 6d SCFTs in the Cardy limit. For a 6d (2,0) theory on $N$ M5-brane, we obtain the free energy proportional to $N^3$. We find that the origin of $N^3$ comes from the condensation of the self-dual strings, whose total number is proportional to ${N^3-N\over 6}$. We further extend our analysis to the general E-string theory and obtain its Cardy free energy.
|
hep-th/0501243
|
Bernard de Wit
|
Bernard de Wit and Henning Samtleben
|
Gauged maximal supergravities and hierarchies of nonabelian
vector-tensor systems
|
8 pages, to be published in Fortsch. Phys., proc. of the 37-th
International Symposium Ahrenshoop on the Theory of Elementary Particles.
Corrections in eqs. (15) and (25)
|
Fortsch.Phys. 53 (2005) 442-449
|
10.1002/prop.200510202
|
YITP-05-2, ITP-UU-05/04, SPIN-05/02
|
hep-th
| null |
We describe generalizations of the manifestly E_{6(6)} covariant formulation
of five-dimensional gauged maximal supergravity with regard to the structure of
the vector and tensor fields. We indicate how the group-theoretical structures
that we discover seem to play a role in gauged supergravities in various
space-time dimensions.
|
[
{
"created": "Sat, 29 Jan 2005 17:27:19 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Mar 2005 05:01:02 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"de Wit",
"Bernard",
""
],
[
"Samtleben",
"Henning",
""
]
] |
We describe generalizations of the manifestly E_{6(6)} covariant formulation of five-dimensional gauged maximal supergravity with regard to the structure of the vector and tensor fields. We indicate how the group-theoretical structures that we discover seem to play a role in gauged supergravities in various space-time dimensions.
|
hep-th/9708055
|
Hong Lu
|
H. Lu, C.N. Pope, T.R. Tran and K.-W. Xu
|
Classification of p-branes, NUTs, Waves and Intersections
|
Latex, 67 pages, minor corrections
|
Nucl.Phys.B511:98-154,1998
|
10.1016/S0550-3213(97)00735-9
|
CTP TAMU-32/97, LPTENS-97/37, SISSARef. 98/97/EP
|
hep-th
| null |
We give a full classification of the multi-charge supersymmetric $p$-brane
solutions in the massless and massive maximal supergravities in dimensions
$D\ge2$ obtained from the toroidal reduction of eleven-dimensional
supergravity. We derive simple universal rules for determining the fractions of
supersymmetry that they preserve. By reversing the steps of dimensional
reduction, the $p$-brane solutions become intersections of $p$-branes, NUTs and
waves in D=10 or D=11. Having classified the lower-dimensional $p$-branes, this
provides a classification of all the intersections in D=10 and D=11 where the
harmonic functions depend on the space transverse to all the individual
objects. We also discuss the structure of U-duality multiplets of $p$-brane
solutions, and show how these translate into multiplets of harmonic and
non-harmonic intersections.
|
[
{
"created": "Mon, 11 Aug 1997 07:41:49 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Nov 1997 14:53:55 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Tran",
"T. R.",
""
],
[
"Xu",
"K. -W.",
""
]
] |
We give a full classification of the multi-charge supersymmetric $p$-brane solutions in the massless and massive maximal supergravities in dimensions $D\ge2$ obtained from the toroidal reduction of eleven-dimensional supergravity. We derive simple universal rules for determining the fractions of supersymmetry that they preserve. By reversing the steps of dimensional reduction, the $p$-brane solutions become intersections of $p$-branes, NUTs and waves in D=10 or D=11. Having classified the lower-dimensional $p$-branes, this provides a classification of all the intersections in D=10 and D=11 where the harmonic functions depend on the space transverse to all the individual objects. We also discuss the structure of U-duality multiplets of $p$-brane solutions, and show how these translate into multiplets of harmonic and non-harmonic intersections.
|
2112.11966
|
Adolfo Guarino
|
Alfredo Giambrone, Adolfo Guarino, Emanuel Malek, Henning Samtleben,
Colin Sterckx, Mario Trigiante
|
Holographic Evidence for Non-Supersymmetric Conformal Manifolds
|
6 pages. v2: clarifications added, published version
| null |
10.1103/PhysRevD.105.066018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide the first holographic evidence for the existence of a
non-supersymmetric conformal manifold arising from exactly marginal but
supersymmetry-breaking deformations of a superconformal three-dimensional field
theory. In particular, we construct a 2-parameter non-supersymmetric
deformation of a supersymmetric AdS non-geometric background in Type IIB string
theory. We prove that the non-supersymmetric backgrounds are perturbatively
stable and also do not suffer from various non-perturbative instabilities.
Finally, we argue that diffeomorphism symmetry protects our solutions against
higher-derivative string corrections.
|
[
{
"created": "Wed, 22 Dec 2021 15:37:27 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Mar 2023 09:29:31 GMT",
"version": "v2"
}
] |
2023-03-10
|
[
[
"Giambrone",
"Alfredo",
""
],
[
"Guarino",
"Adolfo",
""
],
[
"Malek",
"Emanuel",
""
],
[
"Samtleben",
"Henning",
""
],
[
"Sterckx",
"Colin",
""
],
[
"Trigiante",
"Mario",
""
]
] |
We provide the first holographic evidence for the existence of a non-supersymmetric conformal manifold arising from exactly marginal but supersymmetry-breaking deformations of a superconformal three-dimensional field theory. In particular, we construct a 2-parameter non-supersymmetric deformation of a supersymmetric AdS non-geometric background in Type IIB string theory. We prove that the non-supersymmetric backgrounds are perturbatively stable and also do not suffer from various non-perturbative instabilities. Finally, we argue that diffeomorphism symmetry protects our solutions against higher-derivative string corrections.
|
hep-th/9807032
|
Alfonso Jaramillo
|
A. Jaramillo (U. Valencia, Spain) and P. Mansfield (U. Durham, UK)
|
Non-perturbative VEVs from a Local Expansion
|
6 pages, LaTeX and appb.sty, 2 figures (uses epsf); Talk given at the
Workshop on 'The Structure of Mesons, Baryons and Nuclei', Cracow, May 1998,
to be published in Acta Physica Polonica B
|
Acta Phys.Polon. B29 (1998) 2487-2492
| null |
DTP-98/47
|
hep-th
| null |
We propose a method for the calculation of vacuum expectation values (VEVs)
given a non-trivial, long-distance vacuum wave functional (VWF) of the kind
that arises, for example, in variational calculations. The VEV is written in
terms of a Schr\"odinger-picture path integral, then a local expansion for (the
logarithm of the) VWF is used. The integral is regulated with an explicit
momentum cut-off, $\Lambda$. The resulting series is not expected to converge
for $\Lambda$ larger than the mass-gap but studying the domain of analyticity
of the VEVs allows us to use analytic continuation to estimate the
large-$\Lambda$ limit. Scalar theory in 1+1 dimensions is analyzed, where (as
in the case of Yang-Mills) we do not expect boundary divergences.
|
[
{
"created": "Fri, 3 Jul 1998 19:40:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Jaramillo",
"A.",
"",
"U. Valencia, Spain"
],
[
"Mansfield",
"P.",
"",
"U. Durham, UK"
]
] |
We propose a method for the calculation of vacuum expectation values (VEVs) given a non-trivial, long-distance vacuum wave functional (VWF) of the kind that arises, for example, in variational calculations. The VEV is written in terms of a Schr\"odinger-picture path integral, then a local expansion for (the logarithm of the) VWF is used. The integral is regulated with an explicit momentum cut-off, $\Lambda$. The resulting series is not expected to converge for $\Lambda$ larger than the mass-gap but studying the domain of analyticity of the VEVs allows us to use analytic continuation to estimate the large-$\Lambda$ limit. Scalar theory in 1+1 dimensions is analyzed, where (as in the case of Yang-Mills) we do not expect boundary divergences.
|
hep-th/9312082
| null |
Henrique Boschi-Filho
|
Chiral Anomaly at Infinite Temperature
|
(revised and extended version), Latex file, 15 pages, preprint
IF/UFRJ
| null | null | null |
hep-th
| null |
Using the heat kernel regularization we show that the Abelian chiral anomaly
in the limit of infinite temperature it is not a well defined quantity,
contrary to what happens at any finite temperature. We show that there is an
ambiguity in the ordering of the limits of infinite temperature and removal of
the cut-off so that changing this ordering we find different results for the
chiral anomaly. We discuss these cases and their possible interpretation.
|
[
{
"created": "Fri, 10 Dec 1993 13:12:37 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jun 1994 17:58:19 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Boschi-Filho",
"Henrique",
""
]
] |
Using the heat kernel regularization we show that the Abelian chiral anomaly in the limit of infinite temperature it is not a well defined quantity, contrary to what happens at any finite temperature. We show that there is an ambiguity in the ordering of the limits of infinite temperature and removal of the cut-off so that changing this ordering we find different results for the chiral anomaly. We discuss these cases and their possible interpretation.
|
hep-th/9910052
|
Mark Van Raamsdonk
|
Washington Taylor and Mark Van Raamsdonk
|
Multiple Dp-branes in Weak Background Fields
|
35 pages, LaTeX
|
Nucl.Phys.B573:703-734,2000
|
10.1016/S0550-3213(00)00006-7
|
PUPT-1894, MIT-CTP-2905
|
hep-th
| null |
We find the terms in the nonabelian world-volume action of a system of many
Dp-branes which describe the leading coupling to all type II supergravity
background fields. These results are found by T-dualizing earlier results for
D0-branes, which in turn were determined from calculations of the M(atrix)
theory description of the supercurrent of 11D supergravity. Our results are
compatible with earlier results on the supersymmetric Born-Infeld action for a
single D-brane in a general background and with Tseytlin's symmetrized trace
proposal for extending the abelian Born-Infeld action to a nonabelian theory.
In the case p = 3, the operators we find on the D-brane world-volume are
closely related to those which couple to supergravity fields in the AdS_5 * S^5
IIB supergravity background. This gives an explicit construction, including
normalization, of some of the operators used in the celebrated AdS/CFT
correspondence for 3-branes. We also discuss the S-duality of the action in the
case p = 3, finding that the S-duality of the action determines how certain
operators in the 4D N = 4 SYM theory transform under S-duality. These S-duality
results give some new insight into the puzzle of the transverse 5-brane in
M(atrix) theory.
|
[
{
"created": "Wed, 6 Oct 1999 20:29:43 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Taylor",
"Washington",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] |
We find the terms in the nonabelian world-volume action of a system of many Dp-branes which describe the leading coupling to all type II supergravity background fields. These results are found by T-dualizing earlier results for D0-branes, which in turn were determined from calculations of the M(atrix) theory description of the supercurrent of 11D supergravity. Our results are compatible with earlier results on the supersymmetric Born-Infeld action for a single D-brane in a general background and with Tseytlin's symmetrized trace proposal for extending the abelian Born-Infeld action to a nonabelian theory. In the case p = 3, the operators we find on the D-brane world-volume are closely related to those which couple to supergravity fields in the AdS_5 * S^5 IIB supergravity background. This gives an explicit construction, including normalization, of some of the operators used in the celebrated AdS/CFT correspondence for 3-branes. We also discuss the S-duality of the action in the case p = 3, finding that the S-duality of the action determines how certain operators in the 4D N = 4 SYM theory transform under S-duality. These S-duality results give some new insight into the puzzle of the transverse 5-brane in M(atrix) theory.
|
2206.02623
|
Ran Li
|
Ran Li, Jin wang
|
Generalized free energy landscape of black hole phase transition
| null | null |
10.1103/PhysRevD.106.106015
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, the stochastic dynamical model based on the free energy landscape
was proposed to quantify the kinetics of the black hole phase transition. An
essential concept is the generalized free energy of the fluctuating black hole,
which was defined in terms of the thermodynamic relation previously. In this
work, by employing the Gibbons-Hawking path integral approach to black hole
thermodynamics, we show that the generalized free energy can be derived from
the Einstein-Hilbert action of the Euclidean gravitational instanton with the
conical singularity. This work provides a concrete and solid foundation for the
free energy landscape formalism of black hole phase transition.
|
[
{
"created": "Mon, 6 Jun 2022 14:08:44 GMT",
"version": "v1"
}
] |
2022-11-30
|
[
[
"Li",
"Ran",
""
],
[
"wang",
"Jin",
""
]
] |
Recently, the stochastic dynamical model based on the free energy landscape was proposed to quantify the kinetics of the black hole phase transition. An essential concept is the generalized free energy of the fluctuating black hole, which was defined in terms of the thermodynamic relation previously. In this work, by employing the Gibbons-Hawking path integral approach to black hole thermodynamics, we show that the generalized free energy can be derived from the Einstein-Hilbert action of the Euclidean gravitational instanton with the conical singularity. This work provides a concrete and solid foundation for the free energy landscape formalism of black hole phase transition.
|
hep-th/0506072
|
Thomas Quella
|
Gerhard Gotz, Thomas Quella, Volker Schomerus
|
Tensor products of psl(2|2) representations
|
29 pages
| null | null |
DESY 05-092, KCL-MTH-05-05, SPhT-T05/080
|
hep-th cond-mat.stat-mech math-ph math.MP math.RT
| null |
The aim of this work is to study finite dimensional representations of the
Lie superalgebra psl(2|2) and their tensor products. In particular, we shall
decompose all tensor products involving typical (long) and atypical (short)
representations as well as their so-called projective covers. While tensor
products of long multiplets and projective covers close among themselves, we
shall find an infinite family of new indecomposables in the tensor products of
two short multiplets. Our note concludes with a few remarks on possible
applications to the construction of AdS_3 backgrounds in string theory.
|
[
{
"created": "Thu, 9 Jun 2005 10:25:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gotz",
"Gerhard",
""
],
[
"Quella",
"Thomas",
""
],
[
"Schomerus",
"Volker",
""
]
] |
The aim of this work is to study finite dimensional representations of the Lie superalgebra psl(2|2) and their tensor products. In particular, we shall decompose all tensor products involving typical (long) and atypical (short) representations as well as their so-called projective covers. While tensor products of long multiplets and projective covers close among themselves, we shall find an infinite family of new indecomposables in the tensor products of two short multiplets. Our note concludes with a few remarks on possible applications to the construction of AdS_3 backgrounds in string theory.
|
2110.13622
|
Boris Merzlikin
|
I.L. Buchbinder, A.S. Budekhina, B.S. Merzlikin
|
On a structure of the one-loop divergences in $4D, {\cal N}=2$
supersymmetric sigma-model
|
1+16 pages, published version
|
Eur.Phys.J.C 82 (2022) 19
|
10.1140/epjc/s10052-022-09990-8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quantum structure of four-dimensional ${\cal N}=2$ superfield
sigma-model formulated in harmonic superspace in terms of the
omega-hypermultiplet superfield $\omega$. The model is described by harmonic
superfield sigma-model metric $g_{ab}(\omega)$ and two potential-like
superfields $L^{++}_{a}(\omega)$ and $L^{(+4)}(\omega)$. In bosonic component
sector this model describes some hyper-K\"{a}hler manifold. The manifestly
${\cal N}=2$ supersymmetric covariant background-quantum splitting is
constructed and the superfield proper-time technique is developed to calculate
the one-loop effective action. The one-loop divergences of the superfield
effective action are found for arbitrary $g_{ab}(\omega), L^{++}_{a}(\omega),
L^{(+4)}(\omega)$, where some specific analogy between the algebra of covariant
derivatives in the sigma-model and the corresponding algebra in the ${\cal
N}=2$ SYM theory is used. The component structure of divergences in the bosonic
sector is discussed.
|
[
{
"created": "Tue, 26 Oct 2021 12:15:54 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Jan 2022 08:32:40 GMT",
"version": "v2"
}
] |
2022-01-26
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Budekhina",
"A. S.",
""
],
[
"Merzlikin",
"B. S.",
""
]
] |
We study the quantum structure of four-dimensional ${\cal N}=2$ superfield sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield $\omega$. The model is described by harmonic superfield sigma-model metric $g_{ab}(\omega)$ and two potential-like superfields $L^{++}_{a}(\omega)$ and $L^{(+4)}(\omega)$. In bosonic component sector this model describes some hyper-K\"{a}hler manifold. The manifestly ${\cal N}=2$ supersymmetric covariant background-quantum splitting is constructed and the superfield proper-time technique is developed to calculate the one-loop effective action. The one-loop divergences of the superfield effective action are found for arbitrary $g_{ab}(\omega), L^{++}_{a}(\omega), L^{(+4)}(\omega)$, where some specific analogy between the algebra of covariant derivatives in the sigma-model and the corresponding algebra in the ${\cal N}=2$ SYM theory is used. The component structure of divergences in the bosonic sector is discussed.
|
hep-th/9411152
|
Lugo Adrian Rene
|
Adri\'a n R. Lugo
|
Gravitational instantons and black plane solutions in 4-d string theory
|
29 pages
|
Phys.Rev. D52 (1995) 2266-2277
|
10.1103/PhysRevD.52.2266
|
ICTP-94-xxx
|
hep-th
| null |
We consider gauged Wess-Zumino models based on the non compact group
$SU(2,1)$. It is shown that by vector gauging the maximal compact subgroup
$U(2)$ the resulting backgrounds obey the gravity-dilaton one loop string
vacuum equations of motion in four dimensional euclidean space. The torsionless
solution is then interpreted as a pseudo-instanton of the $d=4$ Liouville
theory coupled to gravity. The presence of a traslational isometry in the model
allows to get another string vacuum backgrounds by using target duality that we
identify with those corresponding to the axial gauging. We also compute the
exact backgrounds. Depending on the value of $k$, they may be interpreted as
instantons connecting a highly singular big bang like universe with a static
singular or regular black plane geometry.
|
[
{
"created": "Mon, 21 Nov 1994 16:39:31 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Lugo",
"Adriá n R.",
""
]
] |
We consider gauged Wess-Zumino models based on the non compact group $SU(2,1)$. It is shown that by vector gauging the maximal compact subgroup $U(2)$ the resulting backgrounds obey the gravity-dilaton one loop string vacuum equations of motion in four dimensional euclidean space. The torsionless solution is then interpreted as a pseudo-instanton of the $d=4$ Liouville theory coupled to gravity. The presence of a traslational isometry in the model allows to get another string vacuum backgrounds by using target duality that we identify with those corresponding to the axial gauging. We also compute the exact backgrounds. Depending on the value of $k$, they may be interpreted as instantons connecting a highly singular big bang like universe with a static singular or regular black plane geometry.
|
hep-th/9810142
|
Mirjam Cvetic
|
Mirjam Cvetic
|
Microscopics of Rotating Black Holes: Entropy and Greybody Factors
|
20 pages, RevTeX, Based on talks given at PASCOS '98, Strings '98,
and Buckow '98
|
Fortsch.Phys.48:65-75,2000
|
10.1002/(SICI)1521-3978(20001)48:1/3<65::AID-PROP65>3.0.CO;2-7
|
UPR-0818-T
|
hep-th
| null |
We review the status of microscopic counting of rotating black hole degrees
of freedom. We present two complementary approaches which both utilize the
near-horizon geometry and precisely reproduce the Bekenstein Hawking entropy
for near-extreme rotating black holes in D=4 and D=5. The first one, proposed
by Strominger, is applicable for the Ramond-Ramond sector and relies on the
correspondence between the near-horizon geometry and the conformal field theory
on its boundary. The second one (somewhat more heuristic), employs the
conformal sigma-model in the Neveu-Schwarz-Neveu-Schwarz sector and accounts
for the black hole microstates by counting the small scale oscillations of the
dyonic string there. We also present the wave equation for the minimally
coupled scalars for such rotating black hole background, and discuss its
implication for the greybody factors. The results are illustrated for the
prototype D=5 rotating black hole.
|
[
{
"created": "Mon, 19 Oct 1998 21:13:34 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Oct 1998 20:50:01 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Cvetic",
"Mirjam",
""
]
] |
We review the status of microscopic counting of rotating black hole degrees of freedom. We present two complementary approaches which both utilize the near-horizon geometry and precisely reproduce the Bekenstein Hawking entropy for near-extreme rotating black holes in D=4 and D=5. The first one, proposed by Strominger, is applicable for the Ramond-Ramond sector and relies on the correspondence between the near-horizon geometry and the conformal field theory on its boundary. The second one (somewhat more heuristic), employs the conformal sigma-model in the Neveu-Schwarz-Neveu-Schwarz sector and accounts for the black hole microstates by counting the small scale oscillations of the dyonic string there. We also present the wave equation for the minimally coupled scalars for such rotating black hole background, and discuss its implication for the greybody factors. The results are illustrated for the prototype D=5 rotating black hole.
|
1309.3024
|
Hidenori Sonoda
|
Hidenori Sonoda
|
Gauge invariant composite operators of QED in the exact renormalization
group formalism
|
35 pages, no figure
| null |
10.1088/1751-8113/47/1/015401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the exact renormalization group (ERG) formalism, we study the gauge
invariant composite operators in QED. Gauge invariant composite operators are
introduced as infinitesimal changes of the gauge invariant Wilson action. We
examine the dependence on the gauge fixing parameter of both the Wilson action
and gauge invariant composite operators. After defining ``gauge fixing
parameter independence,'' we show that any gauge independent composite
operators can be made ``gauge fixing parameter independent'' by appropriate
normalization. As an application, we give a concise but careful proof of the
Adler-Bardeen non-renormalization theorem for the axial anomaly in an arbitrary
covariant gauge by extending the original proof by A. Zee.
|
[
{
"created": "Thu, 12 Sep 2013 03:19:33 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Sonoda",
"Hidenori",
""
]
] |
Using the exact renormalization group (ERG) formalism, we study the gauge invariant composite operators in QED. Gauge invariant composite operators are introduced as infinitesimal changes of the gauge invariant Wilson action. We examine the dependence on the gauge fixing parameter of both the Wilson action and gauge invariant composite operators. After defining ``gauge fixing parameter independence,'' we show that any gauge independent composite operators can be made ``gauge fixing parameter independent'' by appropriate normalization. As an application, we give a concise but careful proof of the Adler-Bardeen non-renormalization theorem for the axial anomaly in an arbitrary covariant gauge by extending the original proof by A. Zee.
|
1110.3826
|
Michele Del Zotto
|
Michele Del Zotto
|
More Arnold's N = 2 superconformal gauge theories
|
35 pages, v2: added remark about weak coupling, minor changes
|
JHEP 1111:115,2011
|
10.1007/JHEP11(2011)115
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the N = 2 gauge theories obtained by engineering the Type IIB
superstring on the quasi-homogeneous elements of Arnold's list of bimodal
singularities. All these theories have finite BPS chambers and we describe,
along the lines of [arXiv:1107.5747], the algebraically obvious ones.
Our results leads to the prediction of 11 new periodic Y-systems, providing
additional evidence for the correspondence in between thermodinamical Bethe
ansatz periodic Y-systems and N = 2 superconformal theories with a finite BPS
chamber whose chiral primaries have dimensions of the form $\mathbb{N}/\ell$.
|
[
{
"created": "Mon, 17 Oct 2011 21:14:16 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 2011 18:14:33 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Del Zotto",
"Michele",
""
]
] |
We study the N = 2 gauge theories obtained by engineering the Type IIB superstring on the quasi-homogeneous elements of Arnold's list of bimodal singularities. All these theories have finite BPS chambers and we describe, along the lines of [arXiv:1107.5747], the algebraically obvious ones. Our results leads to the prediction of 11 new periodic Y-systems, providing additional evidence for the correspondence in between thermodinamical Bethe ansatz periodic Y-systems and N = 2 superconformal theories with a finite BPS chamber whose chiral primaries have dimensions of the form $\mathbb{N}/\ell$.
|
0906.4055
|
Mikhail Plyushchay
|
Francisco Correa, Horacio Falomir, Vit Jakubsky, Mikhail S. Plyushchay
|
Hidden superconformal symmetry of spinless Aharonov-Bohm system
|
25 pages, published version
|
J.Phys.A43:075202,2010
|
10.1088/1751-8113/43/7/075202
| null |
hep-th cond-mat.other math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The
intrinsic supersymmetric structure is shown to be intimately related with the
scale symmetry. As a result, a bosonized superconformal symmetry is identified
in the system. Different self-adjoint extensions of the Aharonov-Bohm problem
are studied in the light of this superconformal structure and interacting
anyons. Scattering problem of the original Aharonov-Bohm model is discussed in
the context of the revealed supersymmetry.
|
[
{
"created": "Mon, 22 Jun 2009 16:29:18 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jun 2009 15:20:17 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Sep 2009 21:08:27 GMT",
"version": "v3"
},
{
"created": "Tue, 2 Feb 2010 23:06:34 GMT",
"version": "v4"
}
] |
2010-02-05
|
[
[
"Correa",
"Francisco",
""
],
[
"Falomir",
"Horacio",
""
],
[
"Jakubsky",
"Vit",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related with the scale symmetry. As a result, a bosonized superconformal symmetry is identified in the system. Different self-adjoint extensions of the Aharonov-Bohm problem are studied in the light of this superconformal structure and interacting anyons. Scattering problem of the original Aharonov-Bohm model is discussed in the context of the revealed supersymmetry.
|
2109.00017
|
Ana Lucia Retore Ph.D
|
Marius de Leeuw, Anton Pribytok, Ana L. Retore, Paul Ryan
|
Integrable deformations of AdS/CFT
|
v2: We corrected typos and added some references; v3: corrected
crossing for AdS2 deformation
| null |
10.1007/JHEP05(2022)012
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study in detail the deformations introduced in [1] of the
integrable structures of the AdS$_{2,3}$ integrable models. We do this by
embedding the corresponding scattering matrices into the most general solutions
of the Yang-Baxter equation. We show that there are several non-trivial
embeddings and corresponding deformations. We work out crossing symmetry for
these models and study their symmetry algebras and representations. In
particular, we identify a new elliptic deformation of the $\rm AdS_3 \times S^3
\times M^4$ string sigma model.
|
[
{
"created": "Tue, 31 Aug 2021 18:00:08 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 2021 18:00:28 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Mar 2022 23:41:04 GMT",
"version": "v3"
}
] |
2022-05-06
|
[
[
"de Leeuw",
"Marius",
""
],
[
"Pribytok",
"Anton",
""
],
[
"Retore",
"Ana L.",
""
],
[
"Ryan",
"Paul",
""
]
] |
In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS$_{2,3}$ integrable models. We do this by embedding the corresponding scattering matrices into the most general solutions of the Yang-Baxter equation. We show that there are several non-trivial embeddings and corresponding deformations. We work out crossing symmetry for these models and study their symmetry algebras and representations. In particular, we identify a new elliptic deformation of the $\rm AdS_3 \times S^3 \times M^4$ string sigma model.
|
1305.2900
|
Christoph A. Stephan
|
Christoph A. Stephan
|
A Dark Sector Extension of the Almost-Commutative Standard Model
| null | null |
10.1142/S0217751X14500055
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider an extension of the Standard Model within the frame work of
Noncommutative Geometry. The model is based on an older model [St09] which
extends the Standard Model by new fermions, a new U(1)-gauge group and,
crucially, a new scalar field which couples to the Higgs field. This new scalar
field allows to lower the mass of the Higgs mass from ~170 GeV, as predicted by
the Spectral Action for the Standard Model, to a value of 120-130 GeV. The
short-coming of the previous model lay in its inability to meet all the
constraints on the gauge couplings implied by the Spectral Action. These
shortcomings are cured in the present model which also features a "dark sector"
containing fermions and scalar particles.
|
[
{
"created": "Mon, 13 May 2013 19:31:44 GMT",
"version": "v1"
}
] |
2015-06-15
|
[
[
"Stephan",
"Christoph A.",
""
]
] |
We consider an extension of the Standard Model within the frame work of Noncommutative Geometry. The model is based on an older model [St09] which extends the Standard Model by new fermions, a new U(1)-gauge group and, crucially, a new scalar field which couples to the Higgs field. This new scalar field allows to lower the mass of the Higgs mass from ~170 GeV, as predicted by the Spectral Action for the Standard Model, to a value of 120-130 GeV. The short-coming of the previous model lay in its inability to meet all the constraints on the gauge couplings implied by the Spectral Action. These shortcomings are cured in the present model which also features a "dark sector" containing fermions and scalar particles.
|
2007.12191
|
Cameron Langer
|
Enrico Herrmann, Cameron Langer, Jaroslav Trnka, Minshan Zheng
|
Positive Geometries for One-Loop Chiral Octagons
|
6 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the topological sign-flip definition of the Amplituhedron, we
introduce similar, but distinct, positive geometries relevant for one-loop
scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory. The
simplest geometries are those with the maximal number of sign flips, and turn
out to be associated with chiral octagons previously studied in the context of
infrared (IR) finite, pure and dual conformal invariant local integrals. Our
result bridges two different themes of the modern amplitudes program: positive
geometry and Feynman integrals.
|
[
{
"created": "Thu, 23 Jul 2020 18:00:03 GMT",
"version": "v1"
}
] |
2020-07-27
|
[
[
"Herrmann",
"Enrico",
""
],
[
"Langer",
"Cameron",
""
],
[
"Trnka",
"Jaroslav",
""
],
[
"Zheng",
"Minshan",
""
]
] |
Inspired by the topological sign-flip definition of the Amplituhedron, we introduce similar, but distinct, positive geometries relevant for one-loop scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory. The simplest geometries are those with the maximal number of sign flips, and turn out to be associated with chiral octagons previously studied in the context of infrared (IR) finite, pure and dual conformal invariant local integrals. Our result bridges two different themes of the modern amplitudes program: positive geometry and Feynman integrals.
|
1311.6470
|
Marco Fazzi
|
Ulf H. Danielsson, Giuseppe Dibitetto, Marco Fazzi, Thomas Van Riet
|
A note on smeared branes in flux vacua and gauged supergravity
|
23 pages, LaTeX, no figures; added reference for section 2
| null |
10.1007/JHEP04(2014)025
|
UUITP-19/33
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the known examples of flux vacua with calibrated spacetime-filling sources
(branes or orientifold planes), one can smear the source in order to perform a
standard KK reduction and obtain a lower-dimensional supergravity description.
Furthermore, it is expected that the smeared and localized solution preserve
equal amounts of supersymmetry. In this note we point out that the
$\mathrm{AdS}_7$ solution discussed in arXiv:1111.2605 and arXiv:1309.2949 is a
counterexample to this common lore. The solution is supersymmetric when the
spacetime-filling D6-branes are localized but breaks supersymmetry in the
smeared limit. By using the embedding tensor formalism we demonstrate that
there is no gauged supergravity description for the solution, regardless of the
source being smeared or not. We conjecture that for flux solutions with
separation between the KK scale and the AdS radius this cannot occur.
|
[
{
"created": "Mon, 25 Nov 2013 21:00:06 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2014 18:25:08 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Danielsson",
"Ulf H.",
""
],
[
"Dibitetto",
"Giuseppe",
""
],
[
"Fazzi",
"Marco",
""
],
[
"Van Riet",
"Thomas",
""
]
] |
In the known examples of flux vacua with calibrated spacetime-filling sources (branes or orientifold planes), one can smear the source in order to perform a standard KK reduction and obtain a lower-dimensional supergravity description. Furthermore, it is expected that the smeared and localized solution preserve equal amounts of supersymmetry. In this note we point out that the $\mathrm{AdS}_7$ solution discussed in arXiv:1111.2605 and arXiv:1309.2949 is a counterexample to this common lore. The solution is supersymmetric when the spacetime-filling D6-branes are localized but breaks supersymmetry in the smeared limit. By using the embedding tensor formalism we demonstrate that there is no gauged supergravity description for the solution, regardless of the source being smeared or not. We conjecture that for flux solutions with separation between the KK scale and the AdS radius this cannot occur.
|
1207.6230
|
Bartosz Fornal
|
Bartosz Fornal
|
Particle creation in a toroidal universe
|
9 pages, 11 figures
|
Phys.Rev.D86:083519,2012
|
10.1103/PhysRevD.86.083519
|
CALT 68-2880
|
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the particle production rate in an expanding universe with a
three-torus topology. We discuss also the complete evolution of the size of
such a universe. The energy density of particles created through the nonzero
modes is computed for selected masses. The unique contribution of the zero mode
and its properties are also analyzed.
|
[
{
"created": "Thu, 26 Jul 2012 10:30:00 GMT",
"version": "v1"
}
] |
2012-10-30
|
[
[
"Fornal",
"Bartosz",
""
]
] |
We calculate the particle production rate in an expanding universe with a three-torus topology. We discuss also the complete evolution of the size of such a universe. The energy density of particles created through the nonzero modes is computed for selected masses. The unique contribution of the zero mode and its properties are also analyzed.
|
1607.05233
|
Dmitriy Uvarov
|
D.V. Uvarov
|
Ambitwistors, oscillators and massless fields on $AdS_5$
|
12 pages, LaTeX; v.3: comment and reference added, further typos
corrected, published version
|
Phys. Lett. B762 (2016) 415-420
|
10.1016/j.physletb.2016.09.065
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Positive energy unitary irreducible representations of $SU(2,2)$ can be
constructed with the aid of bosonic oscillators in (anti)fundamental
representation of $SU(2)_L\times SU(2)_R$ that are closely related to Penrose
twistors. Starting with the correspondence between the doubleton
representations, homogeneous functions on projective twistor space and on-shell
$SL(2,\mathbb C)$ generalized Weyl curvature spinors and their low-spin
counterparts, we study in the similar way the correspondence between the
massless representations, homogeneous functions on ambitwistor space and, via
the Penrose transform, with the gauge fields on Minkowski boundary of $AdS_5$.
The possibilities of reconstructing massless fields on $AdS_5$ and some
applications are also discussed.
|
[
{
"created": "Mon, 18 Jul 2016 18:38:49 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2016 12:05:32 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Nov 2016 17:22:22 GMT",
"version": "v3"
}
] |
2016-11-16
|
[
[
"Uvarov",
"D. V.",
""
]
] |
Positive energy unitary irreducible representations of $SU(2,2)$ can be constructed with the aid of bosonic oscillators in (anti)fundamental representation of $SU(2)_L\times SU(2)_R$ that are closely related to Penrose twistors. Starting with the correspondence between the doubleton representations, homogeneous functions on projective twistor space and on-shell $SL(2,\mathbb C)$ generalized Weyl curvature spinors and their low-spin counterparts, we study in the similar way the correspondence between the massless representations, homogeneous functions on ambitwistor space and, via the Penrose transform, with the gauge fields on Minkowski boundary of $AdS_5$. The possibilities of reconstructing massless fields on $AdS_5$ and some applications are also discussed.
|
hep-th/0202095
|
Abhishek Agarwal
|
A.Agarwal, S.G.Rajeev
|
A Cohomological Interpretation of the Migdal-Makeenko Equations
|
10 Pages, LATeX
|
Mod.Phys.Lett. A17 (2002) 481-490
|
10.1142/S0217732302006667
| null |
hep-th
| null |
The equations of motion of quantum Yang - Mills theory (in the planar `large
N' limit), when formulated in Loop-space are shown to have an anomalous term,
which makes them analogous to the equations of motion of WZW models. The
anomaly is the Jacobian of the change of variables from the usual ones i.e. the
connection one form $A $, to the holonomy $U$. An infinite dimensional Lie
algebra related to this change of variables (the Lie algebra of loop
substitutions) is developed, and the anomaly is interpreted as an element of
the first cohomology of this Lie algebra. The Migdal-Makeenko equations are
shown to be the condition for the invariance of the Yang-Mills generating
functional $Z$ under the action of the generators of this Lie algebra.
Connections of this formalism to the collective field approach of Jevicki and
Sakita are also discussed.
|
[
{
"created": "Fri, 15 Feb 2002 20:45:04 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Agarwal",
"A.",
""
],
[
"Rajeev",
"S. G.",
""
]
] |
The equations of motion of quantum Yang - Mills theory (in the planar `large N' limit), when formulated in Loop-space are shown to have an anomalous term, which makes them analogous to the equations of motion of WZW models. The anomaly is the Jacobian of the change of variables from the usual ones i.e. the connection one form $A $, to the holonomy $U$. An infinite dimensional Lie algebra related to this change of variables (the Lie algebra of loop substitutions) is developed, and the anomaly is interpreted as an element of the first cohomology of this Lie algebra. The Migdal-Makeenko equations are shown to be the condition for the invariance of the Yang-Mills generating functional $Z$ under the action of the generators of this Lie algebra. Connections of this formalism to the collective field approach of Jevicki and Sakita are also discussed.
|
hep-th/0310188
|
Joseph A. Minahan
|
J. Engquist, J. A. Minahan, K. Zarembo
|
Yang-Mills Duals for Semiclassical Strings
|
26 Pages, LaTeX; v2 Typos corrected, reference updated
|
JHEP 0311:063,2003
|
10.1088/1126-6708/2003/11/063
|
UUITP-19-03, CTP-MIT-3425, ITEP-TH-53/03
|
hep-th
| null |
We consider a semiclassical multiwrapped circular string pulsating on S_5,
whose center of mass has angular momentum J on an S_3 subspace. Using the
AdS/CFT correspondence we argue that the one-loop anomalous dimension of the
dual operator is a simple rational function of J/L, where J is the R-charge and
L is the bare dimension of the operator. We then reproduce this result directly
from a super Yang-Mills computation, where we make use of the integrability of
the one-loop system to set up an integral equation that we solve. We then
verify the results of Frolov and Tseytlin for circular rotating strings with
R-charge assignment (J',J',J). In this case we solve for an integral equation
found in the O(-1) matrix model when J'< J and the O(+1) matrix model if J'> J.
The latter region starts at J'=L/2 and continues down, but an apparent critical
point is reached at J'=4J. We argue that the critical point is just an artifact
of the Bethe ansatz and that the conserved charges of the underlying integrable
model are analytic for all J' and that the results from the O(-1) model
continue onto the results of the O(+1) model.
|
[
{
"created": "Mon, 20 Oct 2003 16:08:22 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2003 10:40:08 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Engquist",
"J.",
""
],
[
"Minahan",
"J. A.",
""
],
[
"Zarembo",
"K.",
""
]
] |
We consider a semiclassical multiwrapped circular string pulsating on S_5, whose center of mass has angular momentum J on an S_3 subspace. Using the AdS/CFT correspondence we argue that the one-loop anomalous dimension of the dual operator is a simple rational function of J/L, where J is the R-charge and L is the bare dimension of the operator. We then reproduce this result directly from a super Yang-Mills computation, where we make use of the integrability of the one-loop system to set up an integral equation that we solve. We then verify the results of Frolov and Tseytlin for circular rotating strings with R-charge assignment (J',J',J). In this case we solve for an integral equation found in the O(-1) matrix model when J'< J and the O(+1) matrix model if J'> J. The latter region starts at J'=L/2 and continues down, but an apparent critical point is reached at J'=4J. We argue that the critical point is just an artifact of the Bethe ansatz and that the conserved charges of the underlying integrable model are analytic for all J' and that the results from the O(-1) model continue onto the results of the O(+1) model.
|
1005.2716
|
Luis Granda
|
L. N. Granda and W. Cardona
|
General Non-minimal Kinetic coupling to gravity
|
25 pages, 3 figures; figure added, references added
|
JCAP 1007:021,2010
|
10.1088/1475-7516/2010/07/021
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a new model of scalar field with a general non-minimal kinetic
coupling to itself and to the curvature, as a source of dark energy, and
analyze the cosmological dynamics of this model and the issue of accelerated
expansion. A wide variety of scalar fields and potentials giving rise to
power-law expansion have been found. The dynamical equation of state is studied
for the two cases, without and with free kinetic term . In the first case, a
behavior very close to that of the cosmological constant was found. In the
second case, a solution was found, which match the current phenomenology of the
dark energy. The model shows a rich variety of dynamical scenarios.
|
[
{
"created": "Sun, 16 May 2010 02:28:24 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 2010 09:50:13 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"Granda",
"L. N.",
""
],
[
"Cardona",
"W.",
""
]
] |
We study a new model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, as a source of dark energy, and analyze the cosmological dynamics of this model and the issue of accelerated expansion. A wide variety of scalar fields and potentials giving rise to power-law expansion have been found. The dynamical equation of state is studied for the two cases, without and with free kinetic term . In the first case, a behavior very close to that of the cosmological constant was found. In the second case, a solution was found, which match the current phenomenology of the dark energy. The model shows a rich variety of dynamical scenarios.
|
hep-th/9409039
|
Shozo Uehara
|
Tsukasa Tada, Shozo Uehara
|
Consequence of Hawking radiation from 2d dilaton black holes
|
17pages, 5 figures (three of them are attached, the other 2 figures
are available on request. Some mistakes including typographic errors have
been corrected
|
Phys.Rev.D51:4259-4264,1995
|
10.1103/PhysRevD.51.4259
|
YITP/U-94-23 KEK-TH-410 KEK-Preprint-94-81
|
hep-th
| null |
We investigate the CGHS model through numerical calculation. The behavior of
the mass function, which we introduced in our previous work as a ``local
mass'', is examined. We found that the mass function takes negative values,
which means that the amount of Hawking radiation becomes greater than the
initial mass of the black hole as in the case of the RST model.
|
[
{
"created": "Thu, 8 Sep 1994 06:59:41 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Feb 1995 08:11:23 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Tada",
"Tsukasa",
""
],
[
"Uehara",
"Shozo",
""
]
] |
We investigate the CGHS model through numerical calculation. The behavior of the mass function, which we introduced in our previous work as a ``local mass'', is examined. We found that the mass function takes negative values, which means that the amount of Hawking radiation becomes greater than the initial mass of the black hole as in the case of the RST model.
|
1409.4797
|
Blaise Gout\'eraux
|
Jyotirmoy Bhattacharya, Sera Cremonini and Blaise Gout\'eraux
|
Intermediate scalings in holographic RG flows and conductivities
|
v3: minor changes, version to be published in JHEP. v2: added
references and clarifications. v1: 35 pages, 7 figures
|
JHEP 1502 (2015) 035
|
10.1007/JHEP02(2015)035
|
IPMU14-0297; MIFPA-14-27; NORDITA-2014-104; SU-ITP-14/21
|
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct numerically finite density domain-wall solutions which
interpolate between two $AdS_4$ fixed points and exhibit an intermediate regime
of hyperscaling violation, with or without Lifshitz scaling. Such RG flows can
be realized in gravitational models containing a dilatonic scalar and a massive
vector field with appropriate choices of the scalar potential and couplings.
The infrared $AdS_4$ fixed point describes a new ground state for strongly
coupled quantum systems realizing such scalings, thus avoiding the well-known
extensive zero temperature entropy associated with $AdS_2 \times \mathbb{R}^2$.
We also examine the zero temperature behavior of the optical conductivity in
these backgrounds and identify two scaling regimes before the UV CFT scaling is
reached. The scaling of the conductivity is controlled by the emergent IR
conformal symmetry at very low frequencies, and by the intermediate scaling
regime at higher frequencies.
|
[
{
"created": "Tue, 16 Sep 2014 20:38:29 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Oct 2014 19:14:36 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Feb 2015 19:19:26 GMT",
"version": "v3"
}
] |
2015-02-11
|
[
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Cremonini",
"Sera",
""
],
[
"Goutéraux",
"Blaise",
""
]
] |
We construct numerically finite density domain-wall solutions which interpolate between two $AdS_4$ fixed points and exhibit an intermediate regime of hyperscaling violation, with or without Lifshitz scaling. Such RG flows can be realized in gravitational models containing a dilatonic scalar and a massive vector field with appropriate choices of the scalar potential and couplings. The infrared $AdS_4$ fixed point describes a new ground state for strongly coupled quantum systems realizing such scalings, thus avoiding the well-known extensive zero temperature entropy associated with $AdS_2 \times \mathbb{R}^2$. We also examine the zero temperature behavior of the optical conductivity in these backgrounds and identify two scaling regimes before the UV CFT scaling is reached. The scaling of the conductivity is controlled by the emergent IR conformal symmetry at very low frequencies, and by the intermediate scaling regime at higher frequencies.
|
2401.07573
|
A Daassou
|
Hayat. Laassiri, Ahmed. Daassou, Rachid. Benbrik
|
Thermodynamic features of AdS black holes within the Rastall gravity and
perfect fluid matter framework
|
16 pages, 3 figures. Accepted for publication in Physica Scripta
(2024)
|
Phys. Scr. 99 075024 (2024)
|
10.1088/1402-4896/ad52d1
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this study, we analyzed the impact of a perfect fluid on the phase
transition of Anti-de Sitter (AdS) black holes within the Rastall gravitational
background. Compared to similar studies in the literature, the findings of this
work are highlighted by the determination of analytical expressions for
critical points for charged and Kerr-Newman AdS black holes using approximated
formulas for the horizon radius. An accurate analysis of these new analytical
expressions allowed us to discover a new viable condition that relates the
Rastall parameter \k{appa}{\lambda} to the equation of state parameter
{\omega}, expressed as: \k{appa}{\lambda} = {\omega}/(1+{\omega}). Thanks to
this new condition, we were able to reproduce all the analytical expressions of
critical points calculated within the framework of Einstein\^as general
relativity for two cases: a charged AdS black hole and a rotating AdS black
hole. These findings suggest that Rastall gravity, considering this new
condition, could serve as an alternative theory of gravitation to general
relativity. The approximate expression of the horizon radius also enabled the
exploration of the distinctiveness of fractional-order phase transitions in
these AdS black holes. Furthermore, we calculated the critical exponents,
offering insights into the behavior of crucial thermodynamic quantities near
the inflection point. Examining how a perfect fluid influences phase transition
reveals various critical behaviors, demonstrating that the variation in the
phase transition depends on the intensity of the perfect fluid. Notably, this
variation is portrayed by a linearly increasing trajectory with the escalation
of this intensity.
|
[
{
"created": "Mon, 15 Jan 2024 10:17:13 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2024 16:15:32 GMT",
"version": "v2"
}
] |
2024-06-14
|
[
[
"Laassiri",
"Hayat.",
""
],
[
"Daassou",
"Ahmed.",
""
],
[
"Benbrik",
"Rachid.",
""
]
] |
In this study, we analyzed the impact of a perfect fluid on the phase transition of Anti-de Sitter (AdS) black holes within the Rastall gravitational background. Compared to similar studies in the literature, the findings of this work are highlighted by the determination of analytical expressions for critical points for charged and Kerr-Newman AdS black holes using approximated formulas for the horizon radius. An accurate analysis of these new analytical expressions allowed us to discover a new viable condition that relates the Rastall parameter \k{appa}{\lambda} to the equation of state parameter {\omega}, expressed as: \k{appa}{\lambda} = {\omega}/(1+{\omega}). Thanks to this new condition, we were able to reproduce all the analytical expressions of critical points calculated within the framework of Einstein\^as general relativity for two cases: a charged AdS black hole and a rotating AdS black hole. These findings suggest that Rastall gravity, considering this new condition, could serve as an alternative theory of gravitation to general relativity. The approximate expression of the horizon radius also enabled the exploration of the distinctiveness of fractional-order phase transitions in these AdS black holes. Furthermore, we calculated the critical exponents, offering insights into the behavior of crucial thermodynamic quantities near the inflection point. Examining how a perfect fluid influences phase transition reveals various critical behaviors, demonstrating that the variation in the phase transition depends on the intensity of the perfect fluid. Notably, this variation is portrayed by a linearly increasing trajectory with the escalation of this intensity.
|
1308.6265
|
Kentaro Hori
|
Kentaro Hori and Johanna Knapp
|
Linear Sigma Models With Strongly Coupled Phases -- One Parameter Models
|
84 pages; typos and simple errors corrected, computation of elliptic
genus and topology added in appendix
| null |
10.1007/JHEP11(2013)070
|
TUW-13-12
|
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We systematically construct a class of two-dimensional $(2,2)$ supersymmetric
gauged linear sigma models with phases in which a continuous subgroup of the
gauge group is totally unbroken. We study some of their properties by employing
a recently developed technique. The focus of the present work is on models with
one K\"ahler parameter. The models include those corresponding to Calabi-Yau
threefolds, extending three examples found earlier by a few more, as well as
Calabi-Yau manifolds of other dimensions and non-Calabi-Yau manifolds. The
construction leads to predictions of equivalences of D-brane categories,
systematically extending earlier examples. There is another type of surprise.
Two distinct superconformal field theories corresponding to Calabi-Yau
threefolds with different Hodge numbers, $h^{2,1}=23$ versus $h^{2,1}=59$, have
exactly the same quantum K\"ahler moduli space. The strong-weak duality plays a
crucial r\^ole in confirming this, and also is useful in the actual computation
of the metric on the moduli space.
|
[
{
"created": "Wed, 28 Aug 2013 19:47:14 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Sep 2013 03:26:27 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Hori",
"Kentaro",
""
],
[
"Knapp",
"Johanna",
""
]
] |
We systematically construct a class of two-dimensional $(2,2)$ supersymmetric gauged linear sigma models with phases in which a continuous subgroup of the gauge group is totally unbroken. We study some of their properties by employing a recently developed technique. The focus of the present work is on models with one K\"ahler parameter. The models include those corresponding to Calabi-Yau threefolds, extending three examples found earlier by a few more, as well as Calabi-Yau manifolds of other dimensions and non-Calabi-Yau manifolds. The construction leads to predictions of equivalences of D-brane categories, systematically extending earlier examples. There is another type of surprise. Two distinct superconformal field theories corresponding to Calabi-Yau threefolds with different Hodge numbers, $h^{2,1}=23$ versus $h^{2,1}=59$, have exactly the same quantum K\"ahler moduli space. The strong-weak duality plays a crucial r\^ole in confirming this, and also is useful in the actual computation of the metric on the moduli space.
|
hep-th/0603184
|
Nandinii Barbosa-Cendejas
|
Nandinii Barbosa-Cendejas and Alfredo Herrera-Aguilar
|
Localization of 4D gravity on pure geometrical Thick branes
|
6 pages in PRD format, 3 figures, we corrected signs in the field
equations, the expressions for the scalar field and the self-interacting
potential. Due to the fact that no changes are introduced in the warp factor,
the physics of the system remains the same
|
Phys.Rev.D73:084022,2006; Erratum-ibid.D77:049901,2008
|
10.1103/PhysRevD.73.084022 10.1103/PhysRevD.77.049901
| null |
hep-th
| null |
We consider the generation of thick brane configurations in a pure geometric
Weyl integrable 5D space time which constitutes a non-Riemannian generalization
of Kaluza-Klein (KK) theory. In this framework, we show how 4D gravity can be
localized on a scalar thick brane which does not necessarily respect reflection
symmetry, generalizing in this way several previous models based on the
Randall-Sundrum (RS) system and avoiding both, the restriction to orbifold
geometries and the introduction of the branes in the action by hand. We first
obtain a thick brane solution that preserves 4D Poincar'e invariance and breaks
Z_2-symmetry along the extra dimension which, indeed, can be either compact or
extended, and supplements brane solutions previously found by other authors. In
the non-compact case, this field configuration represents a thick brane with
positive energy density centered at y=c_2, whereas pairs of thick branes arise
in the compact case. Remarkably, the Weylian scalar curvature is non-singular
along the fifth dimension in the non-compact case, in contraposition to the RS
thin brane system. We also recast the wave equations of the transverse
traceless modes of the linear fluctuations of the classical background into a
Schr"odinger's equation form with a volcano potential of finite bottom in both
the compact and the extended cases. We solve Schr"odinger equation for the
massless zero mode m^2=0 and obtain a single bound wave function which
represents a stable 4D graviton. We also get a continuum gapless spectrum of KK
states with m^2>0 that are suppressed at y=c_2 and turn asymptotically into
plane waves.
|
[
{
"created": "Thu, 23 Mar 2006 21:06:25 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2006 03:15:17 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Dec 2007 19:37:46 GMT",
"version": "v3"
},
{
"created": "Tue, 11 Dec 2007 05:07:45 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Barbosa-Cendejas",
"Nandinii",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
]
] |
We consider the generation of thick brane configurations in a pure geometric Weyl integrable 5D space time which constitutes a non-Riemannian generalization of Kaluza-Klein (KK) theory. In this framework, we show how 4D gravity can be localized on a scalar thick brane which does not necessarily respect reflection symmetry, generalizing in this way several previous models based on the Randall-Sundrum (RS) system and avoiding both, the restriction to orbifold geometries and the introduction of the branes in the action by hand. We first obtain a thick brane solution that preserves 4D Poincar'e invariance and breaks Z_2-symmetry along the extra dimension which, indeed, can be either compact or extended, and supplements brane solutions previously found by other authors. In the non-compact case, this field configuration represents a thick brane with positive energy density centered at y=c_2, whereas pairs of thick branes arise in the compact case. Remarkably, the Weylian scalar curvature is non-singular along the fifth dimension in the non-compact case, in contraposition to the RS thin brane system. We also recast the wave equations of the transverse traceless modes of the linear fluctuations of the classical background into a Schr"odinger's equation form with a volcano potential of finite bottom in both the compact and the extended cases. We solve Schr"odinger equation for the massless zero mode m^2=0 and obtain a single bound wave function which represents a stable 4D graviton. We also get a continuum gapless spectrum of KK states with m^2>0 that are suppressed at y=c_2 and turn asymptotically into plane waves.
|
hep-th/9611232
|
Hideomi Totuka
|
Shinichi Deguchi, Tadahito Nakajima, and Hideomi Totsuka Atomic
(Energy Reserch Institute, Nihon University)
|
A U(1) Gauge Theory for Antisymmetric Tensor Fields
|
8 pages, TeX
|
Prog.Theor.Phys. 97 (1997) 357-362
|
10.1143/PTP.97.357
|
NUP-A-96-13
|
hep-th
| null |
We show that a U(1) gauge theory defined in the configuration space for
closed p-branes yields the gauge theory of a massless rank-(p+1) antisymmetric
tensor field and the Stueckelberg formalism for a massive vector field.
|
[
{
"created": "Thu, 28 Nov 1996 07:38:17 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Deguchi",
"Shinichi",
"",
"Energy Reserch Institute, Nihon University"
],
[
"Nakajima",
"Tadahito",
"",
"Energy Reserch Institute, Nihon University"
],
[
"Atomic",
"Hideomi Totsuka",
"",
"Energy Reserch Institute, Nihon University"
]
] |
We show that a U(1) gauge theory defined in the configuration space for closed p-branes yields the gauge theory of a massless rank-(p+1) antisymmetric tensor field and the Stueckelberg formalism for a massive vector field.
|
2309.15541
|
Marcin Pi\k{a}tek dr.
|
Marcin R. Piatek
|
Classical conformal blocks, Coulomb gas integrals, and quantum
integrable models
|
8 pages, based on a talk given at the XII. International Symposium on
Quantum Theory and Symmetries, July 24-28 , 2023, Prague, Czech Republic; to
be published in Journal of Physics: Conference Series
| null | null | null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we recall Richardson's solution of the reduced BCS model, its
relationship with the Gaudin model, and the known implementation of these
models in conformal field theory. The CFT techniques applied here are based on
the use of the free field realization, or more precisely, on the calculation of
saddle-point values of Coulomb gas integrals representing certain (perturbed)
WZW conformal blocks. We identify the saddle-point limit as the classical limit
of conformal blocks. We show that this observation implies a new method for
calculating classical conformal blocks and can be further used in the study of
quantum integrable models.
|
[
{
"created": "Wed, 27 Sep 2023 10:01:44 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Nov 2023 11:45:31 GMT",
"version": "v2"
}
] |
2023-11-21
|
[
[
"Piatek",
"Marcin R.",
""
]
] |
In this paper, we recall Richardson's solution of the reduced BCS model, its relationship with the Gaudin model, and the known implementation of these models in conformal field theory. The CFT techniques applied here are based on the use of the free field realization, or more precisely, on the calculation of saddle-point values of Coulomb gas integrals representing certain (perturbed) WZW conformal blocks. We identify the saddle-point limit as the classical limit of conformal blocks. We show that this observation implies a new method for calculating classical conformal blocks and can be further used in the study of quantum integrable models.
|
2303.12169
|
Jens Hoppe
|
Jens Hoppe
|
Classical dynamics of SU(2) matrix models
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By direct, elementary, considerations it is shown that the SU(2) x SO(d=2,3)
invariant sector of the bosonic membrane matrix model is governed by (two,
resp. three-dimensional) x^2 y^2 models
|
[
{
"created": "Mon, 20 Mar 2023 13:05:35 GMT",
"version": "v1"
}
] |
2023-03-23
|
[
[
"Hoppe",
"Jens",
""
]
] |
By direct, elementary, considerations it is shown that the SU(2) x SO(d=2,3) invariant sector of the bosonic membrane matrix model is governed by (two, resp. three-dimensional) x^2 y^2 models
|
hep-th/0105129
|
Teruhiko Kawano
|
Teruhiko Kawano (Tokyo U), Kazumi Okuyama (KEK)
|
Open String Fields As Matrices
|
24 pages, lanlmac; (v2) references added; (v3) typos corrected and
one reference added
|
JHEP 0106 (2001) 061
|
10.1088/1126-6708/2001/06/061
|
KEK-TH-766, UT-937
|
hep-th
| null |
We present a new representation of the string vertices of the cubic open
string field theory. By using this three-string vertex, we attempt to identify
open string fields as huge-sized matrices by following Witten's idea. By using
these huge matrices, we obtain some results about the construction of partial
isometries in the algebra of open string fields.
|
[
{
"created": "Mon, 14 May 2001 14:11:02 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2001 11:03:10 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Jul 2001 12:21:49 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Kawano",
"Teruhiko",
"",
"Tokyo U"
],
[
"Okuyama",
"Kazumi",
"",
"KEK"
]
] |
We present a new representation of the string vertices of the cubic open string field theory. By using this three-string vertex, we attempt to identify open string fields as huge-sized matrices by following Witten's idea. By using these huge matrices, we obtain some results about the construction of partial isometries in the algebra of open string fields.
|
1208.0261
|
Savdeep Sethi
|
Jock McOrist, Savdeep Sethi
|
M-theory and Type IIA Flux Compactifications
|
36 pages, LaTeX; references added
| null |
10.1007/JHEP12(2012)122
|
EFI-12-13, DAMTP-2012-54, DMUS-MP-12/06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider compactifications of M-theory and type IIA string theory to four
dimensions. For Minkowski space-time, a supergravity no-go theorem forbids flux
supported in the internal space. We show how to evade this no-go theorem by
exhibiting new sources of brane charge: in string theory, the basic physical
phenomenon is the generation of new brane charges from D-branes in transverse
fluxes. In M-theory, there is a new source of M5-brane charge from novel higher
derivative couplings that involve fluxes as well as curvatures. We present some
explicit orientifold examples with both N=1 and N=2 space-time supersymmetry.
Finally, we explain the status of massive type IIA flux compactifications.
|
[
{
"created": "Wed, 1 Aug 2012 16:12:23 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2012 19:44:59 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jan 2013 23:58:57 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"McOrist",
"Jock",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
We consider compactifications of M-theory and type IIA string theory to four dimensions. For Minkowski space-time, a supergravity no-go theorem forbids flux supported in the internal space. We show how to evade this no-go theorem by exhibiting new sources of brane charge: in string theory, the basic physical phenomenon is the generation of new brane charges from D-branes in transverse fluxes. In M-theory, there is a new source of M5-brane charge from novel higher derivative couplings that involve fluxes as well as curvatures. We present some explicit orientifold examples with both N=1 and N=2 space-time supersymmetry. Finally, we explain the status of massive type IIA flux compactifications.
|
2109.05571
|
Willy Fischler
|
Tom Banks and Willy Fischler
|
Entropy and Black Holes in the Very Early Universe
|
19 pages, 1 figure
| null | null | null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Model independent arguments following from the Covariant Entropy Principle
imply that causal diamonds in the very early universe were entirely filled with
a single equilibrated system with finite entropy. A universe where this
condition persists forever has no localized excitations. Our own universe
appears to be headed toward such a state. Within a few hundred times its
current age it will approach a state where our local group of galaxies sit in
empty de Sitter space. Eventually, the local group collapse into a black hole,
which evaporates. Localized excitations in de Sitter space are low entropy
constrained states of the vacuum ensemble. The origin of these constraints must
be in the early universe: the apparent horizon must expand after some initial
period, in a constrained state that is the origin of all localized excitations
in the universe. We argue that in global FRW coordinates, this corresponds to
slow roll inflation that ends in a dilute gas of tiny black holes, with mass
determined by the inflationary scale. We then review arguments that these black
holes can account for the Hot Big Bang, baryogenesis, a distinctive pattern of
CMB fluctuations, and possibly primordial black hole dark matter consisting of
larger black holes that survive until the matter dominated era. The more
complicated question of whether these small black holes can evolve in a way
that is consistent with all observational constraints requires computer
simulations that have not yet been done.
|
[
{
"created": "Sun, 12 Sep 2021 17:39:28 GMT",
"version": "v1"
}
] |
2021-09-14
|
[
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
]
] |
Model independent arguments following from the Covariant Entropy Principle imply that causal diamonds in the very early universe were entirely filled with a single equilibrated system with finite entropy. A universe where this condition persists forever has no localized excitations. Our own universe appears to be headed toward such a state. Within a few hundred times its current age it will approach a state where our local group of galaxies sit in empty de Sitter space. Eventually, the local group collapse into a black hole, which evaporates. Localized excitations in de Sitter space are low entropy constrained states of the vacuum ensemble. The origin of these constraints must be in the early universe: the apparent horizon must expand after some initial period, in a constrained state that is the origin of all localized excitations in the universe. We argue that in global FRW coordinates, this corresponds to slow roll inflation that ends in a dilute gas of tiny black holes, with mass determined by the inflationary scale. We then review arguments that these black holes can account for the Hot Big Bang, baryogenesis, a distinctive pattern of CMB fluctuations, and possibly primordial black hole dark matter consisting of larger black holes that survive until the matter dominated era. The more complicated question of whether these small black holes can evolve in a way that is consistent with all observational constraints requires computer simulations that have not yet been done.
|
1807.11758
|
Alesandro Santos A. F. Santos
|
R. G. G. Amorim, J. S da Cruz Filho, A. F. Santos, S. C. Ulhoa
|
On Scalar Electromagnetism in Phase Space
|
13 pages, 5 figures, accepted for publication in International
Journal of Modern Physics A
| null |
10.1142/S0217751X18501312
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the interaction of a scalar field and the electromagnetic field
in phase space is analyzed. The scattering process is calculated up to first
order in the Planck constant which is obtained by an expansion of the Moyal
product in phase space. The transition amplitude is calculated in the same
context.
|
[
{
"created": "Tue, 31 Jul 2018 11:09:36 GMT",
"version": "v1"
}
] |
2018-08-29
|
[
[
"Amorim",
"R. G. G.",
""
],
[
"Filho",
"J. S da Cruz",
""
],
[
"Santos",
"A. F.",
""
],
[
"Ulhoa",
"S. C.",
""
]
] |
In this paper the interaction of a scalar field and the electromagnetic field in phase space is analyzed. The scattering process is calculated up to first order in the Planck constant which is obtained by an expansion of the Moyal product in phase space. The transition amplitude is calculated in the same context.
|
2304.14753
|
Hiroshi Suzuki
|
Yuki Miyakawa, Hidenori Sonoda, and Hiroshi Suzuki
|
Chiral anomaly as a composite operator in the gradient flow exact
renormalization group formalism
|
25 pages
|
Prog Theor Exp Phys (2023)
|
10.1093/ptep/ptad074
|
KYUSHU-HET-261, KOBE-TH-23-03
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The gradient flow exact renormalization group (GFERG) is an idea that
incorporates gauge invariant gradient flows into the formalism of the exact
renormalization group (ERG). GFERG introduces a Wilson action with a cutoff
while keeping vector gauge invariance manifestly. The details of the formalism
are still to be worked out. In this paper, we apply GFERG to construct the
Wilson action of massless Dirac fermions under the background chiral gauge
fields. By formulating the chiral anomaly as a ``composite operator,'' we make
the scale invariance of the anomaly manifest. We argue that the same result
extends to QCD.
|
[
{
"created": "Fri, 28 Apr 2023 10:49:20 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 2024 00:50:42 GMT",
"version": "v2"
}
] |
2024-02-08
|
[
[
"Miyakawa",
"Yuki",
""
],
[
"Sonoda",
"Hidenori",
""
],
[
"Suzuki",
"Hiroshi",
""
]
] |
The gradient flow exact renormalization group (GFERG) is an idea that incorporates gauge invariant gradient flows into the formalism of the exact renormalization group (ERG). GFERG introduces a Wilson action with a cutoff while keeping vector gauge invariance manifestly. The details of the formalism are still to be worked out. In this paper, we apply GFERG to construct the Wilson action of massless Dirac fermions under the background chiral gauge fields. By formulating the chiral anomaly as a ``composite operator,'' we make the scale invariance of the anomaly manifest. We argue that the same result extends to QCD.
|
hep-th/9311084
|
Chris Pope
|
H. Lu, C.N. Pope, X.J. Wang and S.C. Zhao
|
Critical and non-critical W_{2,4} strings
|
33 pages, CTP TAMU-70/93, LZU-TH-93/09
|
Class.Quant.Grav.11:939-966,1994
|
10.1088/0264-9381/11/4/012
| null |
hep-th
| null |
Nilpotent BRST operators for higher-spin $W_{2,s}$ strings, with currents of
spins 2 and $s$, have recently been constructed for $s=4$, 5 and 6. In the case
of $W_{2,4}$, this operator can be understood as being the BRST operator for
the critical $W\!B_2$ string. In this paper, we construct a generalised BRST
operator that can be associated with a non-critical $W_{2,4}$ string, in which
$W\!B_2$ matter is coupled to the $W\!B_2$ gravity of the critical case. We
also obtain the complete cohomology of the critical $W_{2,4}$ BRST operator,
and investigate the physical spectra of the $s=5$ and $s=6$ string theories.
|
[
{
"created": "Tue, 16 Nov 1993 04:39:12 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Wang",
"X. J.",
""
],
[
"Zhao",
"S. C.",
""
]
] |
Nilpotent BRST operators for higher-spin $W_{2,s}$ strings, with currents of spins 2 and $s$, have recently been constructed for $s=4$, 5 and 6. In the case of $W_{2,4}$, this operator can be understood as being the BRST operator for the critical $W\!B_2$ string. In this paper, we construct a generalised BRST operator that can be associated with a non-critical $W_{2,4}$ string, in which $W\!B_2$ matter is coupled to the $W\!B_2$ gravity of the critical case. We also obtain the complete cohomology of the critical $W_{2,4}$ BRST operator, and investigate the physical spectra of the $s=5$ and $s=6$ string theories.
|
1310.7333
|
Huguet Eric
|
E. Huguet, J. Renaud
|
Two-point function for the Maxwell field in flat Robertson-Walker
spacetimes
|
4 pages, Revtex
|
Phys. Rev. D 88, 124018 (2013)
|
10.1103/PhysRevD.88.124018
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain an explicit two-point function for the Maxwell field in flat
Roberson-Walker spaces, thanks to a new gauge condition which takes the scale
factor into account and assume a simple form. The two-point function is found
to have the short distance Hadamard behavior.
|
[
{
"created": "Mon, 28 Oct 2013 08:08:31 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Huguet",
"E.",
""
],
[
"Renaud",
"J.",
""
]
] |
We obtain an explicit two-point function for the Maxwell field in flat Roberson-Walker spaces, thanks to a new gauge condition which takes the scale factor into account and assume a simple form. The two-point function is found to have the short distance Hadamard behavior.
|
1504.00056
|
Savdeep Sethi
|
David Kutasov, Travis Maxfield, Ilarion Melnikov, Savdeep Sethi
|
Constraining de Sitter Space in String Theory
|
12 pages; LaTeX; references added
|
Phys. Rev. Lett. 115, 071305 (2015)
|
10.1103/PhysRevLett.115.071305
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the heterotic string does not have classical vacua
corresponding to de Sitter space-times of dimension four or higher. The same
conclusion applies to type II vacua in the absence of RR fluxes. Our argument
extends prior supergravity no-go results to regimes of high curvature. We
discuss the interpretation of the heterotic result from the perspective of dual
type II orientifold constructions. Our result suggests that the genericity
arguments used in string landscape discussions should be viewed with caution.
|
[
{
"created": "Tue, 31 Mar 2015 22:28:11 GMT",
"version": "v1"
},
{
"created": "Sun, 10 May 2015 20:49:38 GMT",
"version": "v2"
}
] |
2015-08-19
|
[
[
"Kutasov",
"David",
""
],
[
"Maxfield",
"Travis",
""
],
[
"Melnikov",
"Ilarion",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
We argue that the heterotic string does not have classical vacua corresponding to de Sitter space-times of dimension four or higher. The same conclusion applies to type II vacua in the absence of RR fluxes. Our argument extends prior supergravity no-go results to regimes of high curvature. We discuss the interpretation of the heterotic result from the perspective of dual type II orientifold constructions. Our result suggests that the genericity arguments used in string landscape discussions should be viewed with caution.
|
hep-th/0203067
|
Rafael de Lima Rodrigues
|
Arvind Narayan Vaidya and Rafael de Lima Rodrigues
|
Comment on Solution of the Relativistic Dirac-Morse Problem
|
Revtex, 4 pages, preprint "Notas de F\'\i sica"
CBPF-NF-011/02/Fev./2002
|
Phys.Rev.Lett. 89 (2002) 068901
|
10.1103/PhysRevLett.89.068901
| null |
hep-th
| null |
We do not think that the relativistic Morse potential problem has been
correctly formulated and solved by Alhaidari (Phys. Rev. Lett. 87, 210405
(2001)).
|
[
{
"created": "Thu, 7 Mar 2002 14:44:54 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Vaidya",
"Arvind Narayan",
""
],
[
"Rodrigues",
"Rafael de Lima",
""
]
] |
We do not think that the relativistic Morse potential problem has been correctly formulated and solved by Alhaidari (Phys. Rev. Lett. 87, 210405 (2001)).
|
hep-th/0609098
|
Noriaki Ikeda
|
Noriaki Ikeda, Tatsuya Tokunaga
|
Topological Membranes with 3-Form H Flux on Generalized Geometries
|
22 pages: references added
|
Adv.Theor.Math.Phys.12:1259-1281,2008
| null | null |
hep-th
| null |
We construct topological string and topological membrane actions with a
nontrivial 3-form flux H in arbitrary dimensions. These models realize Bianchi
identities with a nontrivial H flux as consistency conditions. Especially, we
discuss the models with a generalized SU(3) structure, a generalized $G_2$
structure and a generalized $Spin(7)$ structure. These models are constructed
from the AKSZ formulation of Batalin-Vilkovisky formalism.
|
[
{
"created": "Thu, 14 Sep 2006 06:34:25 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2006 16:22:27 GMT",
"version": "v2"
}
] |
2008-12-18
|
[
[
"Ikeda",
"Noriaki",
""
],
[
"Tokunaga",
"Tatsuya",
""
]
] |
We construct topological string and topological membrane actions with a nontrivial 3-form flux H in arbitrary dimensions. These models realize Bianchi identities with a nontrivial H flux as consistency conditions. Especially, we discuss the models with a generalized SU(3) structure, a generalized $G_2$ structure and a generalized $Spin(7)$ structure. These models are constructed from the AKSZ formulation of Batalin-Vilkovisky formalism.
|
1905.00835
|
Azadeh Mohammadi
|
Jo\~ao G. F. Campos, Azadeh Mohammadi
|
Quasinormal modes in kink excitations and kink-antikink interactions: a
toy model
|
23 pages, 11 figures
| null |
10.1140/epjc/s10052-020-7856-3
| null |
hep-th nlin.PS
|
http://creativecommons.org/licenses/by/4.0/
|
We study excitations and collisions of kinks in a scalar field theory where
the potential has two minima with $Z_2$ symmetry. The field potential is
designed to create a square well potential in the stability equation of the
kink excitations. The stability equation is analogous to the Schr\"{o}dinger
equation, and therefore we use quantum mechanics techniques to study the
system. We modify the square well potential continuously, which allows the
excitation to tunnel and consequently turns the normal modes of the kink into
quasinormal modes. We study the effect of this transition, leading to energy
leak, on isolated kink excitations. Finally, we investigate kink-antikink
collisions and the resulting scaling and fractal structure of the resonance
windows considering both normal and quasinormal modes and compare the results.
|
[
{
"created": "Thu, 2 May 2019 16:26:01 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2019 16:07:18 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Oct 2021 18:36:26 GMT",
"version": "v3"
}
] |
2021-10-06
|
[
[
"Campos",
"João G. F.",
""
],
[
"Mohammadi",
"Azadeh",
""
]
] |
We study excitations and collisions of kinks in a scalar field theory where the potential has two minima with $Z_2$ symmetry. The field potential is designed to create a square well potential in the stability equation of the kink excitations. The stability equation is analogous to the Schr\"{o}dinger equation, and therefore we use quantum mechanics techniques to study the system. We modify the square well potential continuously, which allows the excitation to tunnel and consequently turns the normal modes of the kink into quasinormal modes. We study the effect of this transition, leading to energy leak, on isolated kink excitations. Finally, we investigate kink-antikink collisions and the resulting scaling and fractal structure of the resonance windows considering both normal and quasinormal modes and compare the results.
|
0905.1466
|
Behnam Pourhassan
|
J. Sadeghi, M. R. Setare and B. Pourhassan
|
Drag force with different charges in STU background and $AdS$/CFT
|
26pages, 1 figure
|
J. Phys. G: Nucl. Part. Phys. 36 (2009) 115005
|
10.1088/0954-3899/36/11/115005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider the drag force problem in the STU model. Already
this problem and related topics were studied in ${\mathcal N}=4$ SYM theory.
Here we study the same problem in ${\mathcal N}=2$ supergravity theory with an
R-charge black hole (the STU model). This paper extends our previous work [1,2]
by studying more general charge configurations and by taking into account the
effect of a constant electromagnetic field and higher derivative corrections.
We consider a single quark and a $q \bar q$ pair in a three charge non-extremal
black hole background. First by using the AdS/CFT correspondence, we obtain the
drag force, the diffusion coefficient, the total energy and momentum,
quasinormal modes, and the effect of higher derivative corrections for the
single quark. Next we calculate the drag force for a $q \bar q$ pair which
rotates around its center of mass. For the first time we study the motion of a
rotating $q \bar q$ pair in ${\mathcal N}=2$ supergravity theory. We show that
our results in the near-extremal limit agree with the energy loss of the moving
quark which was calculated in the ${\mathcal N}=4$ SYM plasma.
|
[
{
"created": "Sun, 10 May 2009 11:28:33 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2009 06:43:43 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Sep 2009 06:35:38 GMT",
"version": "v3"
}
] |
2015-05-13
|
[
[
"Sadeghi",
"J.",
""
],
[
"Setare",
"M. R.",
""
],
[
"Pourhassan",
"B.",
""
]
] |
In this paper we consider the drag force problem in the STU model. Already this problem and related topics were studied in ${\mathcal N}=4$ SYM theory. Here we study the same problem in ${\mathcal N}=2$ supergravity theory with an R-charge black hole (the STU model). This paper extends our previous work [1,2] by studying more general charge configurations and by taking into account the effect of a constant electromagnetic field and higher derivative corrections. We consider a single quark and a $q \bar q$ pair in a three charge non-extremal black hole background. First by using the AdS/CFT correspondence, we obtain the drag force, the diffusion coefficient, the total energy and momentum, quasinormal modes, and the effect of higher derivative corrections for the single quark. Next we calculate the drag force for a $q \bar q$ pair which rotates around its center of mass. For the first time we study the motion of a rotating $q \bar q$ pair in ${\mathcal N}=2$ supergravity theory. We show that our results in the near-extremal limit agree with the energy loss of the moving quark which was calculated in the ${\mathcal N}=4$ SYM plasma.
|
0912.0853
|
Eran Palti
|
Emilian Dudas, Eran Palti
|
Froggatt-Nielsen models from E8 in F-theory GUTs
|
42 pages; v2:journal version; v3:corrected typo in neutrino masses
|
JHEP 1001:127,2010
|
10.1007/JHEP01(2010)127
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper studies F-theory SU(5) GUT models where the three generations of
the standard model come from three different curves. All the matter is taken to
come from curves intersecting at a point of enhanced E8 gauge symmetry. Giving
a vev to some of the GUT singlets naturally implements a Froggatt-Nielsen
approach to flavour structure. A scan is performed over all possible models and
the results are filtered using phenomenological constraints. We find a unique
model that fits observations of quark and lepton masses and mixing well. This
model suffers from two drawbacks: R-parity must be imposed by hand and there is
a doublet-triplet splitting problem.
|
[
{
"created": "Fri, 4 Dec 2009 13:33:25 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2010 20:55:13 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Aug 2010 04:36:54 GMT",
"version": "v3"
}
] |
2015-03-13
|
[
[
"Dudas",
"Emilian",
""
],
[
"Palti",
"Eran",
""
]
] |
This paper studies F-theory SU(5) GUT models where the three generations of the standard model come from three different curves. All the matter is taken to come from curves intersecting at a point of enhanced E8 gauge symmetry. Giving a vev to some of the GUT singlets naturally implements a Froggatt-Nielsen approach to flavour structure. A scan is performed over all possible models and the results are filtered using phenomenological constraints. We find a unique model that fits observations of quark and lepton masses and mixing well. This model suffers from two drawbacks: R-parity must be imposed by hand and there is a doublet-triplet splitting problem.
|
hep-th/9503089
|
Paulo Miguel Sa
|
Paulo M. Sa', Antares Kleber and Jose' P. S. Lemos
|
BLACK HOLES IN THREE-DIMENSIONAL DILATON GRAVITY THEORIES
|
19 pages, latex, 4 figures as uuencoded postscript files
|
Class.Quant.Grav. 13 (1996) 125-138
|
10.1088/0264-9381/13/1/011
|
DF/IST-2.95 and UATP-95/01
|
hep-th gr-qc
| null |
Three dimensional black holes in a generalized dilaton gravity action theory
are analysed. The theory is specified by two fields, the dilaton and the
graviton, and two parameters, the cosmological constant and the Brans-Dicke
parameter. It contains seven different cases, of which one distinguishes as
special cases, string theory, general relativity and a theory equivalent to
four dimensional general relativity with one Killing vector. We study the
causal structure and geodesic motion of null and timelike particles in the
black hole geometries and find the ADM masses of the different solutions.
|
[
{
"created": "Mon, 13 Mar 1995 20:32:12 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Sa'",
"Paulo M.",
""
],
[
"Kleber",
"Antares",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] |
Three dimensional black holes in a generalized dilaton gravity action theory are analysed. The theory is specified by two fields, the dilaton and the graviton, and two parameters, the cosmological constant and the Brans-Dicke parameter. It contains seven different cases, of which one distinguishes as special cases, string theory, general relativity and a theory equivalent to four dimensional general relativity with one Killing vector. We study the causal structure and geodesic motion of null and timelike particles in the black hole geometries and find the ADM masses of the different solutions.
|
0904.2828
|
Douglas A. Singleton
|
Merab Gogberashvili, Douglas Singleton
|
Anti-de-Sitter Island-Universes from 5D Standing Waves
|
14 page pre-print format. Discussion about connection to Weyl gravity
added and "E&M" localization method added. To be published MPLA
|
Mod.Phys.Lett.A25:2131-2143,2010
|
10.1142/S021773231003358X
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct simple standing wave solutions in a 5D space-time with a ghost
scalar field. The nodes of these standing waves are 'islands' of 4D Minkowski
space-time. For the 5D model with increasing (decreasing) warp factor there are
a finite (infinite) number of nodes and thus Minkowski island-universes having
different parameters, such as gravitational and cosmological constants. This
feature is similar to the assumptions of the landscape models, which postulate
a large number of universes with different parameters. This standing wave
solution also provides a new localization mechanism - matter fields can reside
only on Minkowski 'islands', where the background space-time does not
oscillate.
|
[
{
"created": "Sat, 18 Apr 2009 07:28:14 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 2010 06:40:55 GMT",
"version": "v2"
}
] |
2010-09-01
|
[
[
"Gogberashvili",
"Merab",
""
],
[
"Singleton",
"Douglas",
""
]
] |
We construct simple standing wave solutions in a 5D space-time with a ghost scalar field. The nodes of these standing waves are 'islands' of 4D Minkowski space-time. For the 5D model with increasing (decreasing) warp factor there are a finite (infinite) number of nodes and thus Minkowski island-universes having different parameters, such as gravitational and cosmological constants. This feature is similar to the assumptions of the landscape models, which postulate a large number of universes with different parameters. This standing wave solution also provides a new localization mechanism - matter fields can reside only on Minkowski 'islands', where the background space-time does not oscillate.
|
hep-th/0008064
|
Finn Larsen
|
Jeffrey A. Harvey, Per Kraus, and Finn Larsen
|
Tensionless Branes and Discrete Gauge Symmetry
|
6 pages. v2: very minor changes, version to appear in Phys. Rev. D
|
Phys.Rev. D63 (2001) 026002
|
10.1103/PhysRevD.63.026002
|
EFI-2000-26
|
hep-th
| null |
We show that the tensionless branes found recently on non-BPS D-branes using
non-commutative field theory are in fact gauge equivalent to the vacuum under a
discrete gauge symmetry. We also give a simple construction of the D(2p)-branes
in IIA theory starting from a single non-BPS D9-brane.
|
[
{
"created": "Mon, 7 Aug 2000 21:39:41 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Oct 2000 18:47:43 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Harvey",
"Jeffrey A.",
""
],
[
"Kraus",
"Per",
""
],
[
"Larsen",
"Finn",
""
]
] |
We show that the tensionless branes found recently on non-BPS D-branes using non-commutative field theory are in fact gauge equivalent to the vacuum under a discrete gauge symmetry. We also give a simple construction of the D(2p)-branes in IIA theory starting from a single non-BPS D9-brane.
|
1901.11535
|
Harvey S. Reall
|
Harvey S. Reall and Jorge E. Santos
|
Higher derivative corrections to Kerr black hole thermodynamics
|
20 pages. v2: minor changes. v3: corrected typo in eq 3.7c
| null |
10.1007/JHEP04(2019)021
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In an effective field theory approach to gravity, the Einstein-Hilbert action
is supplemented by higher derivative terms. In the absence of matter, four
derivative terms can be eliminated by a field redefinition. We use the
Euclidean action to calculate analytically the corrections to thermodynamic
quantities of the Kerr solution arising from terms with six or eight
derivatives. The eight derivative terms make a non-negative correction to the
entropy (at fixed mass and angular momentum) if their coefficients have
appropriate signs. The correction from the six derivative terms does not have a
definite sign.
|
[
{
"created": "Thu, 31 Jan 2019 18:59:04 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Mar 2019 15:38:22 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Sep 2019 10:07:39 GMT",
"version": "v3"
}
] |
2019-09-26
|
[
[
"Reall",
"Harvey S.",
""
],
[
"Santos",
"Jorge E.",
""
]
] |
In an effective field theory approach to gravity, the Einstein-Hilbert action is supplemented by higher derivative terms. In the absence of matter, four derivative terms can be eliminated by a field redefinition. We use the Euclidean action to calculate analytically the corrections to thermodynamic quantities of the Kerr solution arising from terms with six or eight derivatives. The eight derivative terms make a non-negative correction to the entropy (at fixed mass and angular momentum) if their coefficients have appropriate signs. The correction from the six derivative terms does not have a definite sign.
|
0912.5451
|
Gherardo Piacitelli
|
Ludwik Dabrowski, Michal Godlinski and Gherardo Piacitelli
|
Lorentz Covariant k-Minkowski Spacetime
|
16 pages. references added, appendix enlarged, minor typos
|
Phys.Rev.D81:125024,2010
|
10.1103/PhysRevD.81.125024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent years, different views on the interpretation of Lorentz covariance
of non commuting coordinates were discussed. Here, by a general procedure, we
construct the minimal canonical central covariantisation of the k-Minkowski
spacetime. We then show that, though the usual k-Minkowski spacetime is
covariant under deformed (or twisted) Lorentz action, the resulting framework
is equivalent to taking a non covariant restriction of the covariantised model.
We conclude with some general comments on the approach of deformed covariance.
|
[
{
"created": "Wed, 30 Dec 2009 12:20:29 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jan 2010 16:21:53 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jun 2010 16:48:53 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Dabrowski",
"Ludwik",
""
],
[
"Godlinski",
"Michal",
""
],
[
"Piacitelli",
"Gherardo",
""
]
] |
In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski spacetime. We then show that, though the usual k-Minkowski spacetime is covariant under deformed (or twisted) Lorentz action, the resulting framework is equivalent to taking a non covariant restriction of the covariantised model. We conclude with some general comments on the approach of deformed covariance.
|
hep-th/9512168
|
Conrad Burden
|
T. W. Allen and C. J. Burden (Australain National University.)
|
Positronium States in QED3
|
22 pages plus 12 postscript figures, uuencoded
|
Phys.Rev.D53:5842,1996; Erratum-ibid.D54:6567,1996;
Phys.Rev.D54:6567,1996
|
10.1103/PhysRevD.53.5842 10.1103/PhysRevD.54.6567
| null |
hep-th
| null |
The $e^-$-$e^+$ bound state spectrum of QED3 is investigated in the quenched
ladder approximation to the homogeneous Bethe-Salpeter equation with fermion
propagators from a rainbow approximation Schwinger-Dyson equation. A detailed
analysis of the analytic structure of the fermion propagator is performed so as
to test the appropriateness of the methods employed. The large fermion mass
limit of the Bethe-Salpeter equation is also considered, including a derivation
of the Schr\"{o}dinger equation, and comparisons made with existing
non-relativistic calculations.
|
[
{
"created": "Thu, 21 Dec 1995 03:36:09 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Allen",
"T. W.",
"",
"Australain National University."
],
[
"Burden",
"C. J.",
"",
"Australain National University."
]
] |
The $e^-$-$e^+$ bound state spectrum of QED3 is investigated in the quenched ladder approximation to the homogeneous Bethe-Salpeter equation with fermion propagators from a rainbow approximation Schwinger-Dyson equation. A detailed analysis of the analytic structure of the fermion propagator is performed so as to test the appropriateness of the methods employed. The large fermion mass limit of the Bethe-Salpeter equation is also considered, including a derivation of the Schr\"{o}dinger equation, and comparisons made with existing non-relativistic calculations.
|
2403.16806
|
Anna Negro
|
Anna Negro and Subodh P. Patil
|
Hadamard Regularization of the Graviton Stress Tensor
|
13 pages, 2 appendices
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We present the details for the covariant renormalization of the stress tensor
for vacuum tensor perturbations at the level of the effective action, adopting
Hadamard regularization techniques to isolate short distance divergences and
gauge fixing via the Faddeev-Popov procedure. The subsequently derived
renormalized stress tensor can be related to more familiar forms reliant upon
an averaging prescription, such as the Isaacson or Misner-Thorne-Wheeler forms.
The latter, however, are premised on a prior scale separation (beyond which the
averaging is invoked) and therefore unsuited for the purposes of
renormalization. This can lead to potentially unphysical conclusions when taken
as a starting point for the computation of any observable that needs
regularization, such as the energy density associated to a stochastic
background. Any averaging prescription, if needed, should only be invoked at
the end of the renormalization procedure. The latter necessarily involves the
imposition of renormalization conditions via a physical measurement at some
fixed scale, which we retrace for primordial gravitational waves sourced from
vacuum fluctuations through direct or indirect observation.
|
[
{
"created": "Mon, 25 Mar 2024 14:26:09 GMT",
"version": "v1"
}
] |
2024-03-26
|
[
[
"Negro",
"Anna",
""
],
[
"Patil",
"Subodh P.",
""
]
] |
We present the details for the covariant renormalization of the stress tensor for vacuum tensor perturbations at the level of the effective action, adopting Hadamard regularization techniques to isolate short distance divergences and gauge fixing via the Faddeev-Popov procedure. The subsequently derived renormalized stress tensor can be related to more familiar forms reliant upon an averaging prescription, such as the Isaacson or Misner-Thorne-Wheeler forms. The latter, however, are premised on a prior scale separation (beyond which the averaging is invoked) and therefore unsuited for the purposes of renormalization. This can lead to potentially unphysical conclusions when taken as a starting point for the computation of any observable that needs regularization, such as the energy density associated to a stochastic background. Any averaging prescription, if needed, should only be invoked at the end of the renormalization procedure. The latter necessarily involves the imposition of renormalization conditions via a physical measurement at some fixed scale, which we retrace for primordial gravitational waves sourced from vacuum fluctuations through direct or indirect observation.
|
2204.09789
|
Lorenz Eberhardt
|
Lorenz Eberhardt
|
Off-shell Partition Functions in 3d Gravity
|
59+31 pages
| null | null | null |
hep-th math-ph math.AG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore three-dimensional gravity with negative cosmological constant via
canonical quantization. We focus on chiral gravity which is related to a single
copy of $\mathrm{PSL}(2,\mathbb{R})$ Chern-Simons theory and is simpler to
treat in canonical quantization. Its phase space for an initial value surface
$\Sigma$ is given by the appropriate moduli space of Riemann surfaces. We use
geometric quantization to compute partition functions of chiral gravity on
three-manifolds of the form $\Sigma \times \mathrm{S}^1$, where $\Sigma$ can
have asymptotic boundaries. Most of these topologies do not admit a classical
solution and are thus not amenable to a direct semiclassical path integral
computation. We use an index theorem that expresses the partition function as
an integral of characteristic classes over phase space. In the presence of $n$
asymptotic boundaries, we use techniques from equivariant cohomology to
localize the integral to a finite-dimensional integral over
$\overline{\mathcal{M}}_{g,n}$, which we evaluate in low genus cases. Higher
genus partition functions quickly become complicated since they depend in an
oscillatory way on Newton's constant. There is a precise sense in which one can
isolate the non-oscillatory part which we call the fake partition function. We
establish that there is a topological recursion that computes the fake
partition functions for arbitrary Riemann surfaces $\Sigma$. There is a scaling
limit in which the model reduces to JT gravity and our methods give a novel way
to compute JT partition functions via equivariant localization.
|
[
{
"created": "Wed, 20 Apr 2022 21:22:56 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2022 16:05:31 GMT",
"version": "v2"
}
] |
2022-04-29
|
[
[
"Eberhardt",
"Lorenz",
""
]
] |
We explore three-dimensional gravity with negative cosmological constant via canonical quantization. We focus on chiral gravity which is related to a single copy of $\mathrm{PSL}(2,\mathbb{R})$ Chern-Simons theory and is simpler to treat in canonical quantization. Its phase space for an initial value surface $\Sigma$ is given by the appropriate moduli space of Riemann surfaces. We use geometric quantization to compute partition functions of chiral gravity on three-manifolds of the form $\Sigma \times \mathrm{S}^1$, where $\Sigma$ can have asymptotic boundaries. Most of these topologies do not admit a classical solution and are thus not amenable to a direct semiclassical path integral computation. We use an index theorem that expresses the partition function as an integral of characteristic classes over phase space. In the presence of $n$ asymptotic boundaries, we use techniques from equivariant cohomology to localize the integral to a finite-dimensional integral over $\overline{\mathcal{M}}_{g,n}$, which we evaluate in low genus cases. Higher genus partition functions quickly become complicated since they depend in an oscillatory way on Newton's constant. There is a precise sense in which one can isolate the non-oscillatory part which we call the fake partition function. We establish that there is a topological recursion that computes the fake partition functions for arbitrary Riemann surfaces $\Sigma$. There is a scaling limit in which the model reduces to JT gravity and our methods give a novel way to compute JT partition functions via equivariant localization.
|
hep-th/9303059
|
Nemanja Kaloper
|
Nemanja Kaloper
|
Exact Primordial Black Strings in Four Dimensions
|
11 pages plain TeX, Univ. of Alberta preprint Alberta-THY-14-1993
|
Phys.Rev. D48 (1993) 4658-4661
|
10.1103/PhysRevD.48.4658
| null |
hep-th gr-qc
| null |
A solution of effective string theory in four dimensions is presented which
admits interpretation of a rotating black cosmic string. It is constructed by
tensoring the three dimensional black hole, extended with the Kalb-Ramond
axion, with a flat direction. The physical interpretation of the solution is
discussed, with special attention on the axion, which is found to play a role
very similar to a Higgs field. Finally, it is pointed out that the solution
represents an exact WZWN $\sigma$ model on the string world sheet, to all
orders in the inverse string tension $\alpha'$.
|
[
{
"created": "Wed, 10 Mar 1993 06:54:49 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kaloper",
"Nemanja",
""
]
] |
A solution of effective string theory in four dimensions is presented which admits interpretation of a rotating black cosmic string. It is constructed by tensoring the three dimensional black hole, extended with the Kalb-Ramond axion, with a flat direction. The physical interpretation of the solution is discussed, with special attention on the axion, which is found to play a role very similar to a Higgs field. Finally, it is pointed out that the solution represents an exact WZWN $\sigma$ model on the string world sheet, to all orders in the inverse string tension $\alpha'$.
|
2204.03192
|
Fu-Wen Shu
|
Nan Li, Chuan-Shi Dong, Dong-Hui Du, Fu-Wen Shu
|
Improved proof-by-contraction method and relative homologous entropy
inequalities
|
1+27 pages; Version matches published one in JHEP
| null |
10.1007/JHEP06(2022)153
| null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The celebrated holographic entanglement entropy triggered investigations on
the connections between quantum information theory and quantum gravity. An
important achievement is that we have gained more insights into the quantum
states. It allows us to diagnose whether a given quantum state is a holographic
state, a state whose bulk dual admits semiclassical geometrical description.
The effective tool of this kind of diagnosis is holographic entropy cone (HEC),
an entropy space bounded by holographic entropy inequalities allowed by the
theory. To fix the HEC and to prove a given holographic entropy inequality, a
proof-by-contraction technique has been developed. This method heavily depends
on a contraction map $f$, which is very difficult to construct especially for
more-region ($n\geq 4$) cases. In this work, we develop a general and effective
rule to rule out most of the cases such that $f$ can be obtained in a
relatively simple way. In addition, we extend the whole framework to relative
homologous entropy, a generalization of holographic entanglement entropy that
is suitable for characterizing the entanglement of mixed states.
|
[
{
"created": "Thu, 7 Apr 2022 03:50:54 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jul 2022 02:25:14 GMT",
"version": "v2"
}
] |
2022-07-15
|
[
[
"Li",
"Nan",
""
],
[
"Dong",
"Chuan-Shi",
""
],
[
"Du",
"Dong-Hui",
""
],
[
"Shu",
"Fu-Wen",
""
]
] |
The celebrated holographic entanglement entropy triggered investigations on the connections between quantum information theory and quantum gravity. An important achievement is that we have gained more insights into the quantum states. It allows us to diagnose whether a given quantum state is a holographic state, a state whose bulk dual admits semiclassical geometrical description. The effective tool of this kind of diagnosis is holographic entropy cone (HEC), an entropy space bounded by holographic entropy inequalities allowed by the theory. To fix the HEC and to prove a given holographic entropy inequality, a proof-by-contraction technique has been developed. This method heavily depends on a contraction map $f$, which is very difficult to construct especially for more-region ($n\geq 4$) cases. In this work, we develop a general and effective rule to rule out most of the cases such that $f$ can be obtained in a relatively simple way. In addition, we extend the whole framework to relative homologous entropy, a generalization of holographic entanglement entropy that is suitable for characterizing the entanglement of mixed states.
|
hep-th/0307031
|
Amit Loewy
|
W. Fischler, A. Loewy, S. Paban
|
The Entropy of the Microwave Background and the Acceleration of the
Universe
|
12 pages, 1 eps figure, Latex, references added
|
JHEP 0309:024,2003
|
10.1088/1126-6708/2003/09/024
|
UTTG 03-03
|
hep-th astro-ph gr-qc hep-ph
| null |
If the present acceleration of the universe is due to a cosmological
constant, \lambda, then the entropy of the microwave background is bounded. It
cannot exceed \lambda^{-3/4} \sim 10^{91}, which is much less than the entropy
of empty de Sitter space \lambda^{-1} \sim 10^{122}. This is due to the limited
efficiency of storing entropy by local field theoretical degrees of freedom.
The observed entropy of the microwave background is of O(10^{85}).
|
[
{
"created": "Wed, 2 Jul 2003 21:33:05 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jul 2003 15:04:36 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Fischler",
"W.",
""
],
[
"Loewy",
"A.",
""
],
[
"Paban",
"S.",
""
]
] |
If the present acceleration of the universe is due to a cosmological constant, \lambda, then the entropy of the microwave background is bounded. It cannot exceed \lambda^{-3/4} \sim 10^{91}, which is much less than the entropy of empty de Sitter space \lambda^{-1} \sim 10^{122}. This is due to the limited efficiency of storing entropy by local field theoretical degrees of freedom. The observed entropy of the microwave background is of O(10^{85}).
|
1305.6311
|
Arthur Hebecker
|
Arthur Hebecker
|
AdS/CFT for Accelerator Physics or Building the Tower of Babel
|
20 pages, 4 figures, pdfLaTeX, v3: Subsection on possible role of BPS
objects added
|
Phys. Rev. D 88, 125025 (2013)
|
10.1103/PhysRevD.88.125025
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The crucial property of particle colliders is their ability to convert (e.g.
electrical) energy into the mass of heavy particles. We have become used to the
extremely low efficiency of this conversion and the severe limitations on the
mass scale of heavy particles which can be reached. In view of this situation,
it appears reasonable to ask whether a perfect conversion machine of this type
(a perfect `collider') exists even in principle and whether there is a highest
mass scale which can be reached by such a machine. It turns out that, with a
number of assumptions, such a machine is conceivable in a world with a
strongly-coupled, approximately scale invariant 4d field theory with 5d gravity
dual. This machine can be realized as a 5d tower built on the IR brane (in
Randall-Sundrum model language). Transporting mass to the tip of this tower is,
under certain conditions, equivalent to producing heavy point-like 4d
particles. Hence, this can be thought of as a perfect `collider'. In the
simple, `pure Randall-Sundrum setting' that we analyse, this machine can only
reach a certain maximal energy scale, which falls as the gravity-dual of the 4d
QFT approaches the strong coupling domain. On these grounds, one might expect
that a no-go theorem (in the spirit of that of Carnot for the conversion of
heat into work) exists for weakly-coupled QFTs. We end with some speculations
about collider efficiencies at weak coupling, involving possibly the concept of
entanglement entropy.
|
[
{
"created": "Mon, 27 May 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jun 2013 15:37:29 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Aug 2013 15:08:01 GMT",
"version": "v3"
}
] |
2014-01-01
|
[
[
"Hebecker",
"Arthur",
""
]
] |
The crucial property of particle colliders is their ability to convert (e.g. electrical) energy into the mass of heavy particles. We have become used to the extremely low efficiency of this conversion and the severe limitations on the mass scale of heavy particles which can be reached. In view of this situation, it appears reasonable to ask whether a perfect conversion machine of this type (a perfect `collider') exists even in principle and whether there is a highest mass scale which can be reached by such a machine. It turns out that, with a number of assumptions, such a machine is conceivable in a world with a strongly-coupled, approximately scale invariant 4d field theory with 5d gravity dual. This machine can be realized as a 5d tower built on the IR brane (in Randall-Sundrum model language). Transporting mass to the tip of this tower is, under certain conditions, equivalent to producing heavy point-like 4d particles. Hence, this can be thought of as a perfect `collider'. In the simple, `pure Randall-Sundrum setting' that we analyse, this machine can only reach a certain maximal energy scale, which falls as the gravity-dual of the 4d QFT approaches the strong coupling domain. On these grounds, one might expect that a no-go theorem (in the spirit of that of Carnot for the conversion of heat into work) exists for weakly-coupled QFTs. We end with some speculations about collider efficiencies at weak coupling, involving possibly the concept of entanglement entropy.
|
2109.05588
|
Jaewon Song
|
Jaewon Song
|
Vanishing short multiplets in rank one 4d/5d SCFTs
|
20 pages, v2: minor corrections, reference added. to appear in JHEP
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the short multiplet spectrum in 4d $\mathcal{N}=2$ superconformal
theories of low rank using the full superconformal indices and the selection
rules from the superconformal representation theory. We find a universal
expression for the leading terms for the superconformal index of rank one $H_0,
H_1, H_2, D_4, E_6, E_7$ theories. From this result, we argue that certain
short multiplets appear in the operator product expansions involving
stress-tensor, conserved current, and Coulomb branch operator vanish. We also
apply the same procedure to 5d superconformal theories and find that $E_1$
theory has vanishing short multiplets analogous to that of the $H_1$ theory.
|
[
{
"created": "Sun, 12 Sep 2021 19:05:32 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Mar 2023 01:31:10 GMT",
"version": "v2"
}
] |
2023-03-28
|
[
[
"Song",
"Jaewon",
""
]
] |
We study the short multiplet spectrum in 4d $\mathcal{N}=2$ superconformal theories of low rank using the full superconformal indices and the selection rules from the superconformal representation theory. We find a universal expression for the leading terms for the superconformal index of rank one $H_0, H_1, H_2, D_4, E_6, E_7$ theories. From this result, we argue that certain short multiplets appear in the operator product expansions involving stress-tensor, conserved current, and Coulomb branch operator vanish. We also apply the same procedure to 5d superconformal theories and find that $E_1$ theory has vanishing short multiplets analogous to that of the $H_1$ theory.
|
1412.3152
|
Babak Haghighat BH
|
Babak Haghighat, Albrecht Klemm, Guglielmo Lockhart, Cumrun Vafa
|
Strings of Minimal 6d SCFTs
|
50+1 pages, 8 figures
| null |
10.1002/prop.201500014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study strings associated with minimal 6d SCFTs, which by definition have
only one string charge and no Higgs branch. These theories are labelled by a
number n with 1 <= n <= 8 or n = 12. Quiver theories have previously been
proposed which describe strings of SCFTs for n = 1, 2. For n > 2 the strings
interact with the bulk gauge symmetry. In this paper we find a quiver
description for the n = 4 string using Sen's limit of F-theory and calculate
its elliptic genus with localization techniques. This result is checked using
the duality of F-theory with M-theory and topological string theory whose
refined BPS partition function captures the elliptic genus of the SCFT strings.
We use the topological string theory to gain insight into the elliptic genus
for other values of n.
|
[
{
"created": "Tue, 9 Dec 2014 23:03:42 GMT",
"version": "v1"
}
] |
2016-01-20
|
[
[
"Haghighat",
"Babak",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Lockhart",
"Guglielmo",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We study strings associated with minimal 6d SCFTs, which by definition have only one string charge and no Higgs branch. These theories are labelled by a number n with 1 <= n <= 8 or n = 12. Quiver theories have previously been proposed which describe strings of SCFTs for n = 1, 2. For n > 2 the strings interact with the bulk gauge symmetry. In this paper we find a quiver description for the n = 4 string using Sen's limit of F-theory and calculate its elliptic genus with localization techniques. This result is checked using the duality of F-theory with M-theory and topological string theory whose refined BPS partition function captures the elliptic genus of the SCFT strings. We use the topological string theory to gain insight into the elliptic genus for other values of n.
|
hep-th/0308013
|
Iosif L. Bena
|
Iosif Bena and Radu Roiban
|
N=1* in 5 dimensions: Dijkgraaf-Vafa meets Polchinski-Strassler
|
28 pages, Latex
|
JHEP 0311 (2003) 001
|
10.1088/1126-6708/2003/11/001
| null |
hep-th
| null |
One of the powerful techniques to analyze the 5 dimensional Super Yang Mills
theory with a massive hypermultiplet (N=1*) is provided by the AdS/CFT
correspondence. It predicts that, for certain special values of the
hypermultiplet mass, this theory develops nonperturbative branches of the
moduli space as well as new light degrees of freedom.
We use the higher dimensional generalization of the matrix model/gauge theory
correspondence and recover all the prediction of the supergravity analysis. We
construct the map between the four dimensional holomorphic superpotential and
the five dimensional action and explicitly show that the superpotential is flat
along the nonperturbative branches. This is the first instance in which the
Dijkgraaf-Vafa method is used to analyze intrinsically higher dimensional
phenomena.
|
[
{
"created": "Fri, 1 Aug 2003 19:44:03 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bena",
"Iosif",
""
],
[
"Roiban",
"Radu",
""
]
] |
One of the powerful techniques to analyze the 5 dimensional Super Yang Mills theory with a massive hypermultiplet (N=1*) is provided by the AdS/CFT correspondence. It predicts that, for certain special values of the hypermultiplet mass, this theory develops nonperturbative branches of the moduli space as well as new light degrees of freedom. We use the higher dimensional generalization of the matrix model/gauge theory correspondence and recover all the prediction of the supergravity analysis. We construct the map between the four dimensional holomorphic superpotential and the five dimensional action and explicitly show that the superpotential is flat along the nonperturbative branches. This is the first instance in which the Dijkgraaf-Vafa method is used to analyze intrinsically higher dimensional phenomena.
|
1405.3820
|
Laszlo Hollo
|
L. Hollo, Z. B. Laczko and Z. Bajnok
|
Explicit boundary form factors: the scaling Lee-Yang model
|
18 pages, References added
| null |
10.1016/j.nuclphysb.2014.07.021
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide explicit expressions for boundary form factors in the boundary
scaling Lee-Yang model for operators with the mildest ultraviolet behavior for
all integrable boundary conditions. The form factors of the boundary stress
tensor take a determinant form, while the form factors of the boundary primary
field contain additional explicit polynomials.
|
[
{
"created": "Thu, 15 May 2014 12:23:26 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jun 2014 09:13:34 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Jul 2014 14:34:49 GMT",
"version": "v3"
}
] |
2015-06-19
|
[
[
"Hollo",
"L.",
""
],
[
"Laczko",
"Z. B.",
""
],
[
"Bajnok",
"Z.",
""
]
] |
We provide explicit expressions for boundary form factors in the boundary scaling Lee-Yang model for operators with the mildest ultraviolet behavior for all integrable boundary conditions. The form factors of the boundary stress tensor take a determinant form, while the form factors of the boundary primary field contain additional explicit polynomials.
|
1709.05894
|
Mohammad M. Qaemmaqami
|
Mohammad M. Qaemmaqami
|
On Complexity Growth in Minimal Massive 3D Gravity
|
12 pages, Minor corrections, References added, Version to appear in
PRD
|
Phys. Rev. D 97, 026006 (2018)
|
10.1103/PhysRevD.97.026006
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the complexity growth by using complexity = action (CA) proposal in
Minimal Massive 3D Gravity(MMG) model which is proposed for resolving the
bulk-boundary clash problem of Topologically Massive Gravity(TMG). We observe
that the rate of the complexity growth for BTZ black hole saturates the
proposed bound by physical mass of the BTZ black hole in the MMG model, when
the angular momentum parameter and the inner horizon of black hole goes to
zero.
|
[
{
"created": "Mon, 18 Sep 2017 12:31:54 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2017 12:44:33 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Nov 2017 09:58:37 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Dec 2017 10:13:08 GMT",
"version": "v4"
}
] |
2018-01-31
|
[
[
"Qaemmaqami",
"Mohammad M.",
""
]
] |
We study the complexity growth by using complexity = action (CA) proposal in Minimal Massive 3D Gravity(MMG) model which is proposed for resolving the bulk-boundary clash problem of Topologically Massive Gravity(TMG). We observe that the rate of the complexity growth for BTZ black hole saturates the proposed bound by physical mass of the BTZ black hole in the MMG model, when the angular momentum parameter and the inner horizon of black hole goes to zero.
|
hep-th/9712185
|
Daniel Kabat
|
D. Kabat, W. Taylor
|
Linearized supergravity from Matrix theory
|
13 pages, LaTex, v2: additional comments mostly in section 6
|
Phys.Lett.B426:297-305,1998
|
10.1016/S0370-2693(98)00281-0
|
IASSNS-HEP-97/141, PUPT-1751
|
hep-th
| null |
We show that the linearized supergravity potential between two objects
arising from the exchange of quanta with zero longitudinal momentum is
reproduced to all orders in 1/r by terms in the one-loop Matrix theory
potential. The essential ingredient in the proof is the identification of the
Matrix theory quantities corresponding to moments of the stress tensor and
membrane current. We also point out that finite-N Matrix theory violates the
equivalence principle.
|
[
{
"created": "Fri, 19 Dec 1997 00:51:38 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Dec 1997 05:03:10 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Mar 1998 01:36:33 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Kabat",
"D.",
""
],
[
"Taylor",
"W.",
""
]
] |
We show that the linearized supergravity potential between two objects arising from the exchange of quanta with zero longitudinal momentum is reproduced to all orders in 1/r by terms in the one-loop Matrix theory potential. The essential ingredient in the proof is the identification of the Matrix theory quantities corresponding to moments of the stress tensor and membrane current. We also point out that finite-N Matrix theory violates the equivalence principle.
|
1207.7086
|
Jan Gutowski
|
J. Gutowski and G. Papadopoulos
|
M-Horizons
|
36 pages, latex. Reference added, minor typos corrected
| null |
10.1007/JHEP12(2012)100
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve the Killing spinor equations and determine the near horizon
geometries of M-theory that preserve at least one supersymmetry. The M-horizon
spatial sections are 9-dimensional manifolds with a Spin(7) structure
restricted by geometric constraints which we give explicitly. We also provide
an alternative characterization of the solutions of the Killing spinor
equation, utilizing the compactness of the horizon section and the field
equations, by proving a Lichnerowicz type of theorem which implies that the
zero modes of a Dirac operator coupled to 4-form fluxes are Killing spinors. We
use this, and the maximum principle, to solve the field equations of the theory
for some special cases and present some examples.
|
[
{
"created": "Mon, 30 Jul 2012 20:03:47 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2012 14:52:45 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] |
We solve the Killing spinor equations and determine the near horizon geometries of M-theory that preserve at least one supersymmetry. The M-horizon spatial sections are 9-dimensional manifolds with a Spin(7) structure restricted by geometric constraints which we give explicitly. We also provide an alternative characterization of the solutions of the Killing spinor equation, utilizing the compactness of the horizon section and the field equations, by proving a Lichnerowicz type of theorem which implies that the zero modes of a Dirac operator coupled to 4-form fluxes are Killing spinors. We use this, and the maximum principle, to solve the field equations of the theory for some special cases and present some examples.
|
hep-th/0501235
|
Valeri Dolotin
|
V.Dolotin and A.Morozov
|
Algebraic Geometry of Discrete Dynamics. The case of one variable
|
114 pages, 47 figures
| null | null |
ITEP-TH-02/05
|
hep-th math.CV math.DS
| null |
We argue that discrete dynamics has natural links to the theory of analytic
functions. Most important, bifurcations and chaotic dynamical properties are
related to intersections of algebraic varieties. This paves the way to
identification of boundaries of Mandelbrot sets with discriminant varieties in
moduli spaces, which are the central objects in the worlds of chaos and order
(integrability) respectively. To understand and exploit this relation one needs
first to develop the theory of discrete dynamics as a solid branch of algebraic
geometry, which so far did not pay enough attention to iterated maps. The basic
object to study in this context is Julia sheaf over the universal Mandelbrot
set. The base has a charateristic combinatorial structure, which can be
revealed by resultant analysis and represented by a basic graph. Sections
(Julia sets) are contractions of a unit disc, related to the action of Abelian
$\bb{Z}$ group on the unit circle. Their singularities (bifurcations) are
located at the points of the universal discriminant variety.
|
[
{
"created": "Fri, 28 Jan 2005 19:43:52 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2005 12:13:31 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Dolotin",
"V.",
""
],
[
"Morozov",
"A.",
""
]
] |
We argue that discrete dynamics has natural links to the theory of analytic functions. Most important, bifurcations and chaotic dynamical properties are related to intersections of algebraic varieties. This paves the way to identification of boundaries of Mandelbrot sets with discriminant varieties in moduli spaces, which are the central objects in the worlds of chaos and order (integrability) respectively. To understand and exploit this relation one needs first to develop the theory of discrete dynamics as a solid branch of algebraic geometry, which so far did not pay enough attention to iterated maps. The basic object to study in this context is Julia sheaf over the universal Mandelbrot set. The base has a charateristic combinatorial structure, which can be revealed by resultant analysis and represented by a basic graph. Sections (Julia sets) are contractions of a unit disc, related to the action of Abelian $\bb{Z}$ group on the unit circle. Their singularities (bifurcations) are located at the points of the universal discriminant variety.
|
1302.5527
|
Werner R\"uhl
|
Werner Ruehl
|
Local cubic vertex functions for three massless higher even spin fields
on spaces AdS_D: An analytic approach
|
9 pages
| null |
10.1016/j.physletb.2013.05.034
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Local cubic vertex functions of three higher even spin fields on AdS_D are
constructed from the Green function of three conserved currents that are dual
to the higher spin fields. Conservation of the currents implies lowest order
gauge invariance. These vertex functions appear by the UV divergence as the
residue of the highest order pole in the dimensional regularization parameter
\epsilon. The method works for even D and maintains covariance at any step. The
resulting formula is quite concise.
|
[
{
"created": "Fri, 22 Feb 2013 09:24:05 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2013 20:53:29 GMT",
"version": "v2"
},
{
"created": "Thu, 16 May 2013 16:24:09 GMT",
"version": "v3"
}
] |
2015-06-15
|
[
[
"Ruehl",
"Werner",
""
]
] |
Local cubic vertex functions of three higher even spin fields on AdS_D are constructed from the Green function of three conserved currents that are dual to the higher spin fields. Conservation of the currents implies lowest order gauge invariance. These vertex functions appear by the UV divergence as the residue of the highest order pole in the dimensional regularization parameter \epsilon. The method works for even D and maintains covariance at any step. The resulting formula is quite concise.
|
hep-th/9709141
|
J. W. van Holten
|
J.W. van Holten
|
Stability and mass of point particles
|
23 pages
|
Nucl.Phys. B529 (1998) 525-543
|
10.1016/S0550-3213(98)00382-4
|
NIKHEF/97-037
|
hep-th
| null |
In this paper we consider classical point particles in full interaction with
an arbitrary number of dynamical scalar and (abelian) vector fields. It is
shown that the requirement of stability ---vanishing self-force--- is
sufficient to remove the well-known inconsistencies of the classical theory:
the divergent self-energy, as well as the failure of Lorentz-covariance of the
energy-momentum when including the contributions of the fields. As a result, in
these models the mass of a point particle becomes finitely computable. It is
shown how these models are connected to quantum field theory via the
path-integral representation of the propagator.
|
[
{
"created": "Fri, 19 Sep 1997 09:50:58 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Feb 1998 16:04:22 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"van Holten",
"J. W.",
""
]
] |
In this paper we consider classical point particles in full interaction with an arbitrary number of dynamical scalar and (abelian) vector fields. It is shown that the requirement of stability ---vanishing self-force--- is sufficient to remove the well-known inconsistencies of the classical theory: the divergent self-energy, as well as the failure of Lorentz-covariance of the energy-momentum when including the contributions of the fields. As a result, in these models the mass of a point particle becomes finitely computable. It is shown how these models are connected to quantum field theory via the path-integral representation of the propagator.
|
hep-th/0511247
|
Soumitra SenGupta
|
Saurya Das (Lethbridge), Anindya Dey (HRI), Soumitra SenGupta (IACS)
|
Readdressing the hierarchy problem in a Randall-Sundrum scenario with
bulk Kalb-Ramond background
|
4 Pages, Revtex, 1 figure. Important changes and addition. Version to
appear in Class. Quant. Grav. Letters
|
Class.Quant.Grav.23:L67,2006
|
10.1088/0264-9381/23/20/L01
| null |
hep-th gr-qc hep-ph
| null |
We re-examine the fine tuning problem of the Higgs mass, when an
antisymmetric two form Kalb-Ramond (KR) field is present in the bulk of a
Randall-Sundrum (RS) braneworld. Taking into account the back-reaction of the
KR field, we obtain the exact correction to the RS metric. The modified metric
also warps the Higgs mass from Planck scale (in higher dimension) to TeV scale
(on the visible brane) for a range of values of $kr$ exceeding the original RS
value (where $k=$ Planck mass and $r=$ size of extra dimension). However, it
requires an extraordinary suppression of the KR field density, indicating the
re-appearence of the fine tuning problem in a different guise. The new
spacetime also generates a small negative cosmological constant on the visible
brane. These results are particularly relevant for certain string based models,
where the KR field is unavoidably present in the bulk. We further show that
such a bulk antisymmetric KR field fails to stabilize the braneworld.
|
[
{
"created": "Thu, 24 Nov 2005 13:00:25 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2006 06:15:28 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Aug 2006 22:23:18 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Das",
"Saurya",
"",
"Lethbridge"
],
[
"Dey",
"Anindya",
"",
"HRI"
],
[
"SenGupta",
"Soumitra",
"",
"IACS"
]
] |
We re-examine the fine tuning problem of the Higgs mass, when an antisymmetric two form Kalb-Ramond (KR) field is present in the bulk of a Randall-Sundrum (RS) braneworld. Taking into account the back-reaction of the KR field, we obtain the exact correction to the RS metric. The modified metric also warps the Higgs mass from Planck scale (in higher dimension) to TeV scale (on the visible brane) for a range of values of $kr$ exceeding the original RS value (where $k=$ Planck mass and $r=$ size of extra dimension). However, it requires an extraordinary suppression of the KR field density, indicating the re-appearence of the fine tuning problem in a different guise. The new spacetime also generates a small negative cosmological constant on the visible brane. These results are particularly relevant for certain string based models, where the KR field is unavoidably present in the bulk. We further show that such a bulk antisymmetric KR field fails to stabilize the braneworld.
|
hep-th/0406106
|
Sameer Murthy
|
Debashis Ghoshal, Sunil Mukhi, and Sameer Murthy
|
Liouville D-branes in Two-Dimensional Strings and Open String Field
Theory
|
29 pages, harvmac
|
JHEP0411:027,2004
|
10.1088/1126-6708/2004/11/027
| null |
hep-th
| null |
We study open strings in the noncritical $c=1$ bosonic string theory
compactified on a circle at self-dual radius. These strings live on D-branes
that are extended along the Liouville direction ({\it FZZT} branes). We present
explicit expressions for the disc two- and three-point functions of boundary
operators in this theory, as well as the bulk-boundary two-point function. The
expressions obtained are divergent because of resonant behaviour at self-dual
radius. However, these can be regularised and renormalized in a precise way to
get finite results. The boundary correlators are found to depend only on the
differences of boundary cosmological constants, suggesting a fermionic
behaviour. We initiate a study of the open-string field theory localised to the
physical states, which leads to an interesting matrix model.
|
[
{
"created": "Mon, 14 Jun 2004 13:20:24 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ghoshal",
"Debashis",
""
],
[
"Mukhi",
"Sunil",
""
],
[
"Murthy",
"Sameer",
""
]
] |
We study open strings in the noncritical $c=1$ bosonic string theory compactified on a circle at self-dual radius. These strings live on D-branes that are extended along the Liouville direction ({\it FZZT} branes). We present explicit expressions for the disc two- and three-point functions of boundary operators in this theory, as well as the bulk-boundary two-point function. The expressions obtained are divergent because of resonant behaviour at self-dual radius. However, these can be regularised and renormalized in a precise way to get finite results. The boundary correlators are found to depend only on the differences of boundary cosmological constants, suggesting a fermionic behaviour. We initiate a study of the open-string field theory localised to the physical states, which leads to an interesting matrix model.
|
hep-th/0503185
|
Bogdan Stefanski jr.
|
B. Stefanski, Jr., A.A. Tseytlin
|
Super spin chain coherent state actions and $AdS_5 \times S^5$
superstring
|
33 pages, LaTeX
|
Nucl.Phys.B718:83-112,2005
|
10.1016/j.nuclphysb.2005.04.026
| null |
hep-th
| null |
We consider a generalization of the leading-order matching of coherent state
actions for semiclassical states on the super Yang-Mills and the superstring
sides of the AdS/CFT duality to sectors with fermions. In particular, we
discuss the $SU(1|1)$ and $SU(2|3)$ sectors containing states with angular
momentum $J$ in $S^5$ and spin in $AdS_5$. On the SYM side, we start with the
dilatation operator in the $SU(2|3)$ sector having super spin chain Hamiltonian
interpretation and derive the corresponding coherent state action which is
quartic in fermions. This action has essentially the same ``Landau-Lifshitz''
form as the action in the bosonic SU(3) sector with the target space $CP^2$
replaced by the projective superspace $CP^{2|2}$. We then attempt to relate it
to the corresponding truncation of the full $AdS_5 \times S^5$ superstring
action written in a light-cone gauge where it has simple quartic fermionic
structure. In particular, we find that part of the superstring action
describing $SU(1|1)$ sector reduces to an action of a massive two-dimensional
relativistic fermion, with the expansion in the effective coupling
$\lambda/J^2$ being equivalent to a non-relativistic expansion.
|
[
{
"created": "Wed, 23 Mar 2005 21:49:55 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 2005 08:48:09 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Mar 2005 15:01:08 GMT",
"version": "v3"
}
] |
2019-08-17
|
[
[
"Stefanski,",
"B.",
"Jr."
],
[
"Tseytlin",
"A. A.",
""
]
] |
We consider a generalization of the leading-order matching of coherent state actions for semiclassical states on the super Yang-Mills and the superstring sides of the AdS/CFT duality to sectors with fermions. In particular, we discuss the $SU(1|1)$ and $SU(2|3)$ sectors containing states with angular momentum $J$ in $S^5$ and spin in $AdS_5$. On the SYM side, we start with the dilatation operator in the $SU(2|3)$ sector having super spin chain Hamiltonian interpretation and derive the corresponding coherent state action which is quartic in fermions. This action has essentially the same ``Landau-Lifshitz'' form as the action in the bosonic SU(3) sector with the target space $CP^2$ replaced by the projective superspace $CP^{2|2}$. We then attempt to relate it to the corresponding truncation of the full $AdS_5 \times S^5$ superstring action written in a light-cone gauge where it has simple quartic fermionic structure. In particular, we find that part of the superstring action describing $SU(1|1)$ sector reduces to an action of a massive two-dimensional relativistic fermion, with the expansion in the effective coupling $\lambda/J^2$ being equivalent to a non-relativistic expansion.
|
1509.08064
|
Albert Schwarz
|
Albert Schwarz
|
Axiomatic conformal theory in dimensions >2 and AdS/CT correspondence
|
15 pages. Minor changes (mostly in terminology)
| null |
10.1007/s11005-016-0866-2
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We formulate axioms of conformal theory (CT) in dimensions $>2$ modifying
Segal's axioms for two-dimensional CFT. (In the definition of
higher-dimensional CFT one includes also a condition of existence of
energy-momentum tensor.) We use these axioms to derive the AdS/CT
correspondence for local theories on AdS . We introduce a notion of weakly
local quantum field theory and construct a bijective correspondence between
conformal theories on the sphere $S^d$ and weakly local quantum field theories
on $H^{d+1}$ that are invariant with respect to isometries. (Here $H^{d+1}$
denotes hyperbolic space= Euclidean AdS space.) We give an expression of AdS
correlation functions in terms of CT correlation functions. The conformal
theory has conserved energy-momentum tensor iff the AdS theory has graviton in
its spectrum.
|
[
{
"created": "Sun, 27 Sep 2015 07:53:29 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2015 01:46:05 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Nov 2015 05:56:18 GMT",
"version": "v3"
},
{
"created": "Mon, 30 Nov 2015 00:56:38 GMT",
"version": "v4"
},
{
"created": "Tue, 12 Jan 2016 20:15:32 GMT",
"version": "v5"
},
{
"created": "Sat, 7 May 2016 05:19:47 GMT",
"version": "v6"
}
] |
2016-07-20
|
[
[
"Schwarz",
"Albert",
""
]
] |
We formulate axioms of conformal theory (CT) in dimensions $>2$ modifying Segal's axioms for two-dimensional CFT. (In the definition of higher-dimensional CFT one includes also a condition of existence of energy-momentum tensor.) We use these axioms to derive the AdS/CT correspondence for local theories on AdS . We introduce a notion of weakly local quantum field theory and construct a bijective correspondence between conformal theories on the sphere $S^d$ and weakly local quantum field theories on $H^{d+1}$ that are invariant with respect to isometries. (Here $H^{d+1}$ denotes hyperbolic space= Euclidean AdS space.) We give an expression of AdS correlation functions in terms of CT correlation functions. The conformal theory has conserved energy-momentum tensor iff the AdS theory has graviton in its spectrum.
|
hep-th/9708031
|
Jan Conrad
|
Jan O. Conrad
|
Brane Tensions and Coupling Constants from within M-Theory
|
11 pages, no figures, Latex2e, amsmath, amsfonts, typo in abstract
corrected
|
Phys.Lett. B421 (1998) 119-124
|
10.1016/S0370-2693(97)01575-X
|
TUM-HEP-289/97
|
hep-th
| null |
Reviewing the cancellation of local anomalies of M-theory on R^10 x S^1/Z_2
the Yang-Mills coupling constant on the boundaries is rederived. The result is
lambda^2 = 2^(1/3) (2 pi) (4 pi kappa^2)^(2/3) corresponding to eta =
lambda^6/kappa^4 = 256 pi^5 in the `upstairs' units used by Horava and Witten
and differs from their calculation. It is shown that these values are
compatible with the standard membrane and fivebrane tensions derived from the
M-theory bulk action. In view of these results it is argued that the natural
units for M-theory on R^10 x S^1/Z_2 are the `downstairs' units where the brane
tensions take their standard form and the Yang-Mills coupling constant is
lambda^2 = 4 pi (4 pi kappa^2)^(2/3).
|
[
{
"created": "Wed, 6 Aug 1997 13:44:40 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Aug 1997 11:47:28 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Conrad",
"Jan O.",
""
]
] |
Reviewing the cancellation of local anomalies of M-theory on R^10 x S^1/Z_2 the Yang-Mills coupling constant on the boundaries is rederived. The result is lambda^2 = 2^(1/3) (2 pi) (4 pi kappa^2)^(2/3) corresponding to eta = lambda^6/kappa^4 = 256 pi^5 in the `upstairs' units used by Horava and Witten and differs from their calculation. It is shown that these values are compatible with the standard membrane and fivebrane tensions derived from the M-theory bulk action. In view of these results it is argued that the natural units for M-theory on R^10 x S^1/Z_2 are the `downstairs' units where the brane tensions take their standard form and the Yang-Mills coupling constant is lambda^2 = 4 pi (4 pi kappa^2)^(2/3).
|
2211.14340
|
Ilija Buric
|
Ilija Buric and Volker Schomerus
|
Universal Spinning Casimir Equations and Their Solutions
| null | null |
10.1007/JHEP03(2023)133
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal blocks are a central analytic tool for higher dimensional conformal
field theory. We employ Harish-Chandra's radial component map to construct
universal Casimir differential equations for spinning conformal blocks in any
dimension $d$ of Euclidean space. Furthermore, we also build a set of
differential ``shifting'' operators that allow to construct solutions of the
Casimir equations from certain seeds. In the context of spinning four-point
blocks of bulk conformal field theory, our formulas provide an elegant and far
reaching generalisation of existing expressions to arbitrary tensor fields and
arbitrary dimension $d$. The power of our new universal approach to spinning
blocks is further illustrated through applications to defect conformal field
theory. In the case of defects of co-dimension $q=2$ we are able to construct
conformal blocks for two-point functions of symmetric traceless bulk tensor
fields in both the defect and the bulk channel. This opens an interesting
avenue for applications to the defect bootstrap. Finally, we also derive the
Casimir equations for bulk-bulk-defect three-point functions in the bulk
channel.
|
[
{
"created": "Fri, 25 Nov 2022 19:00:40 GMT",
"version": "v1"
}
] |
2023-04-05
|
[
[
"Buric",
"Ilija",
""
],
[
"Schomerus",
"Volker",
""
]
] |
Conformal blocks are a central analytic tool for higher dimensional conformal field theory. We employ Harish-Chandra's radial component map to construct universal Casimir differential equations for spinning conformal blocks in any dimension $d$ of Euclidean space. Furthermore, we also build a set of differential ``shifting'' operators that allow to construct solutions of the Casimir equations from certain seeds. In the context of spinning four-point blocks of bulk conformal field theory, our formulas provide an elegant and far reaching generalisation of existing expressions to arbitrary tensor fields and arbitrary dimension $d$. The power of our new universal approach to spinning blocks is further illustrated through applications to defect conformal field theory. In the case of defects of co-dimension $q=2$ we are able to construct conformal blocks for two-point functions of symmetric traceless bulk tensor fields in both the defect and the bulk channel. This opens an interesting avenue for applications to the defect bootstrap. Finally, we also derive the Casimir equations for bulk-bulk-defect three-point functions in the bulk channel.
|
1001.1480
|
Christian Paleani
|
Michael A. Klaput, Christian Paleani
|
The computation of one-loop heterotic string threshold corrections for
general orbifold models with discrete Wilson lines
|
73 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the moduli dependent part of string one-loop threshold
corrections to gauge couplings for the heterotic string theory compactified on
abelian toroidal orbifolds, allowing for arbitrary discrete Wilson lines. We
show that the knowledge of threshold corrections for any such compactification
is equivalent to solving a class of integrals. We solve a sub-class of these
integrals and show how any model can be mapped onto this class by fractional
linear transformations of its fixed plane moduli. Modular symmetries of the
final expression are discussed.
|
[
{
"created": "Sun, 10 Jan 2010 06:53:24 GMT",
"version": "v1"
}
] |
2010-01-12
|
[
[
"Klaput",
"Michael A.",
""
],
[
"Paleani",
"Christian",
""
]
] |
We calculate the moduli dependent part of string one-loop threshold corrections to gauge couplings for the heterotic string theory compactified on abelian toroidal orbifolds, allowing for arbitrary discrete Wilson lines. We show that the knowledge of threshold corrections for any such compactification is equivalent to solving a class of integrals. We solve a sub-class of these integrals and show how any model can be mapped onto this class by fractional linear transformations of its fixed plane moduli. Modular symmetries of the final expression are discussed.
|
2109.06389
|
Giorgio Torrieri
|
Travis Dore, Lorenzo Gavassino, David Montenegro, Masoud Shokri,
Giorgio Torrieri
|
Fluctuating relativistic dissipative hydrodynamics as a gauge theory
|
Version Accepted for publication, Annals of Physics
| null |
10.1016/j.aop.2022.168902
| null |
hep-th hep-ph nucl-th physics.flu-dyn
|
http://creativecommons.org/licenses/by/4.0/
|
We argue that different formulations of hydrodynamics are related to
uncertainties in the definitions of local thermodynamic and hydrodynamic
variables. We show that this ambiguity can be resolved by viewing different
formulations of hydrodynamics as particular "gauge choices" which lead to the
same physical behavior of the system. Using the example of bulk viscosity, we
show that Bemfica-Disconzi-Noronha-Kovtun (BDNK) and Israel-Stewart
hydrodynamics are particular "gauge choices" of this type, related by a
well-defined transformation of thermodynamic and hydrodynamic variables. We
argue that this gauge ambiguity is necessary to ascertain the causality of
stochastic hydrodynamic evolution and conjecture that it could explain the
applicability of hydrodynamics outside its expected regime of validity since
far from equilibrium and close to equilibrium may be related through
transformations of this type.
|
[
{
"created": "Tue, 14 Sep 2021 01:37:12 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Feb 2022 15:03:31 GMT",
"version": "v2"
},
{
"created": "Mon, 2 May 2022 21:48:56 GMT",
"version": "v3"
}
] |
2022-06-01
|
[
[
"Dore",
"Travis",
""
],
[
"Gavassino",
"Lorenzo",
""
],
[
"Montenegro",
"David",
""
],
[
"Shokri",
"Masoud",
""
],
[
"Torrieri",
"Giorgio",
""
]
] |
We argue that different formulations of hydrodynamics are related to uncertainties in the definitions of local thermodynamic and hydrodynamic variables. We show that this ambiguity can be resolved by viewing different formulations of hydrodynamics as particular "gauge choices" which lead to the same physical behavior of the system. Using the example of bulk viscosity, we show that Bemfica-Disconzi-Noronha-Kovtun (BDNK) and Israel-Stewart hydrodynamics are particular "gauge choices" of this type, related by a well-defined transformation of thermodynamic and hydrodynamic variables. We argue that this gauge ambiguity is necessary to ascertain the causality of stochastic hydrodynamic evolution and conjecture that it could explain the applicability of hydrodynamics outside its expected regime of validity since far from equilibrium and close to equilibrium may be related through transformations of this type.
|
hep-th/9506132
|
Alexei Subbotin
|
A.Subbotin and I.V.Tyutin
|
On the Equivalence of Dual Theories
|
14 pages, LaTeX; 2 figures, encapsulated PostScript
|
Int.J.Mod.Phys.A11:1315-1328,1996; ERRATUM-ibid.A11:2231,1996
|
10.1142/S0217751X96000596
|
FIAN/TD/95-12
|
hep-th
| null |
We discuss the equivalence of two dual scalar field theories in 2 dimensions.
The models are derived though the elimination of different fields in the same
Freedman--Townsend model. It is shown that tree $S$-matrices of these models do
not coincide. The 2-loop counterterms are calculated. It turns out that while
one of these models is single-charged, the other theory is multi-charged. Thus
the dual models considered are non-equivalent on classical and quantum levels.
It indicates the possibility of the anomaly leading to non-equivalence of dual
models.
|
[
{
"created": "Tue, 20 Jun 1995 09:00:21 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Subbotin",
"A.",
""
],
[
"Tyutin",
"I. V.",
""
]
] |
We discuss the equivalence of two dual scalar field theories in 2 dimensions. The models are derived though the elimination of different fields in the same Freedman--Townsend model. It is shown that tree $S$-matrices of these models do not coincide. The 2-loop counterterms are calculated. It turns out that while one of these models is single-charged, the other theory is multi-charged. Thus the dual models considered are non-equivalent on classical and quantum levels. It indicates the possibility of the anomaly leading to non-equivalence of dual models.
|
2004.10716
|
Kurt Hinterbichler
|
James Bonifacio, Kurt Hinterbichler, Laura A. Johnson
|
Amplitudes and 4D Gauss-Bonnet Theory
|
18 pages
|
Phys. Rev. D 102, 024029 (2020)
|
10.1103/PhysRevD.102.024029
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has recently been argued that there may be a nontrivial four-dimensional
limit of the higher-dimensional Gauss--Bonnet and Lovelock interactions and
that this might provide a loophole allowing for new four-dimensional
gravitational theories, possibly without a standard Lagrangian. We investigate
this claim by studying tree-level graviton scattering amplitudes, allowing us
to draw conclusions independently of the Lagrangian. By taking four-dimensional
limits of higher-dimensional scattering amplitudes of the Gauss--Bonnet theory,
we find four-dimensional amplitudes that are different from general relativity;
however, these amplitudes are not new since they all come from certain
scalar-tensor theories. The nontrivial limit that does not lead to infinite
strong coupling around flat space leads to $(\partial\phi)^4$ theory. We argue
that there cannot be any six-derivative purely gravitational four-point
amplitudes in any dimension other than those coming from Lovelock theory by
directly constructing the on-shell amplitudes. In particular, there can be no
new such amplitudes in four dimensions beyond those of general relativity. We
also present some new results on the spin-averaged cross section for
graviton-graviton scattering in general relativity and Gauss--Bonnet theory in
arbitrary dimensions.
|
[
{
"created": "Wed, 22 Apr 2020 17:20:07 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 2020 04:36:31 GMT",
"version": "v2"
}
] |
2020-07-15
|
[
[
"Bonifacio",
"James",
""
],
[
"Hinterbichler",
"Kurt",
""
],
[
"Johnson",
"Laura A.",
""
]
] |
It has recently been argued that there may be a nontrivial four-dimensional limit of the higher-dimensional Gauss--Bonnet and Lovelock interactions and that this might provide a loophole allowing for new four-dimensional gravitational theories, possibly without a standard Lagrangian. We investigate this claim by studying tree-level graviton scattering amplitudes, allowing us to draw conclusions independently of the Lagrangian. By taking four-dimensional limits of higher-dimensional scattering amplitudes of the Gauss--Bonnet theory, we find four-dimensional amplitudes that are different from general relativity; however, these amplitudes are not new since they all come from certain scalar-tensor theories. The nontrivial limit that does not lead to infinite strong coupling around flat space leads to $(\partial\phi)^4$ theory. We argue that there cannot be any six-derivative purely gravitational four-point amplitudes in any dimension other than those coming from Lovelock theory by directly constructing the on-shell amplitudes. In particular, there can be no new such amplitudes in four dimensions beyond those of general relativity. We also present some new results on the spin-averaged cross section for graviton-graviton scattering in general relativity and Gauss--Bonnet theory in arbitrary dimensions.
|
hep-th/9511165
|
B. E. Baaquie
|
B.E. Baaquie and R. Parwani
|
Asymptotically Free $\hat{U}(1)$ Kac-Moody Gauge Fields in $3+1$
dimensions
|
20 page Latex File. Figures in a separate uuencoded postscript file
|
Phys.Rev. D54 (1996) 5259-5273
|
10.1103/PhysRevD.54.5259
|
NUS/HEP/95-11
|
hep-th
| null |
$ \hat {U}(1)$ Kac-Moody gauge fields have the infinite dimensional $
\hat{U}(1)$ Kac-Moody group as their gauge group. The pure gauge sector, unlike
the usual $U(1)$ Maxwell lagrangian, is nonlinear and nonlocal; the Euclidean
theory is defined on a $d+1$-dimensional manifold $ {\cal{R}}_d \times
{\cal{S}}^1 $ and hence is also asymmetric. We quantize this theory using the
background field method and examine its renormalizability at one-loop by
analyzing all the relevant diagrams. We find that, for a suitable choice of the
gauge field propagators, this theory is one-loop renormalizable in $3+1$
dimensions. This pure abelian Kac-Moody gauge theory in $3+1$ dimensions has
only one running coupling constant and the theory is asymptotically free. When
fermions are added the number of independent couplings increases and a richer
structure is obtained. Finally, we note some features of the theory which
suggest its possible relevance to the study of anisotropic condensed matter
systems, in particular that of high-temperature superconductors.
|
[
{
"created": "Thu, 23 Nov 1995 08:15:48 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Baaquie",
"B. E.",
""
],
[
"Parwani",
"R.",
""
]
] |
$ \hat {U}(1)$ Kac-Moody gauge fields have the infinite dimensional $ \hat{U}(1)$ Kac-Moody group as their gauge group. The pure gauge sector, unlike the usual $U(1)$ Maxwell lagrangian, is nonlinear and nonlocal; the Euclidean theory is defined on a $d+1$-dimensional manifold $ {\cal{R}}_d \times {\cal{S}}^1 $ and hence is also asymmetric. We quantize this theory using the background field method and examine its renormalizability at one-loop by analyzing all the relevant diagrams. We find that, for a suitable choice of the gauge field propagators, this theory is one-loop renormalizable in $3+1$ dimensions. This pure abelian Kac-Moody gauge theory in $3+1$ dimensions has only one running coupling constant and the theory is asymptotically free. When fermions are added the number of independent couplings increases and a richer structure is obtained. Finally, we note some features of the theory which suggest its possible relevance to the study of anisotropic condensed matter systems, in particular that of high-temperature superconductors.
|
2207.13983
|
Shiroman Prakash
|
Shiroman Prakash
|
Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
|
34 pages, 14 figures (including appendices), v2: version accepted in
Physical Review D
|
Phys. Rev. D 107, 066025 (2023)
|
10.1103/PhysRevD.107.066025
| null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a variant of the Gross-Neveu Yukawa model with disorder provides
a real, nonsupersymmetric generalization of the Sachdev-Ye Kitaev (SYK) model
to three dimensions. The model contains $M$ real scalar fields and $N$ Dirac
(or Majorana) fermions, interacting via a Yukawa interaction with a local
Gaussian random coupling in three dimensions. In the limit where $M$ and $N$
are both large, and the ratio $M/N$ is held fixed, the model defines a line of
infrared fixed points parametrized by $M/N$, reducing to the Gross-Neveu vector
model when $M/N=0$. When $M/N$ is nonzero, the model is dominated by melonic
diagrams and gives rise to SYK-like physics. We compute the spectrum of
single-trace operators in the theory, and find that it is real for all values
of $M/N$.
|
[
{
"created": "Thu, 28 Jul 2022 09:55:52 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2023 07:39:51 GMT",
"version": "v2"
}
] |
2023-04-13
|
[
[
"Prakash",
"Shiroman",
""
]
] |
We show that a variant of the Gross-Neveu Yukawa model with disorder provides a real, nonsupersymmetric generalization of the Sachdev-Ye Kitaev (SYK) model to three dimensions. The model contains $M$ real scalar fields and $N$ Dirac (or Majorana) fermions, interacting via a Yukawa interaction with a local Gaussian random coupling in three dimensions. In the limit where $M$ and $N$ are both large, and the ratio $M/N$ is held fixed, the model defines a line of infrared fixed points parametrized by $M/N$, reducing to the Gross-Neveu vector model when $M/N=0$. When $M/N$ is nonzero, the model is dominated by melonic diagrams and gives rise to SYK-like physics. We compute the spectrum of single-trace operators in the theory, and find that it is real for all values of $M/N$.
|
hep-th/0305250
|
Hong Lu
|
H. Lu and J.F. Vazquez-Poritz
|
From de Sitter to de Sitter
|
Latex three times, 22 pages, references added
|
JCAP 0402 (2004) 004
|
10.1088/1475-7516/2004/02/004
| null |
hep-th
| null |
We obtain D=6, N=(1,1) de Sitter supergravity from a hyperbolic reduction of
the massive type IIA* theory. We construct a smooth cosmological solution in
which the co-moving time runs from an infinite past, which is dS_4\times S^2,
to an infinite future, which is a dS_6-type spacetime with the boundary
R^3\times S^2. This provides an effective four-dimensional cosmological model
with two compact extra dimensions forming an S^2. Interestingly enough,
although the solution is time-dependent, it arises from a first-order system
via a superpotential construction. We lift the solutions back to D=10, and in
particular obtain two smooth embeddings of dS_4 in massive type IIA*, with the
internal space being either H^4\times S^2 or an H^4 bundle over S^2. We also
obtain the analogous D=5 and D=4 solutions. We show that there exist
cosmological solutions that describe an expanding universe with the expansion
rate significantly larger in the past than in the future.
|
[
{
"created": "Thu, 29 May 2003 19:07:28 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 2003 06:47:16 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jun 2003 06:18:48 GMT",
"version": "v3"
},
{
"created": "Sat, 12 Jul 2003 19:59:28 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Lu",
"H.",
""
],
[
"Vazquez-Poritz",
"J. F.",
""
]
] |
We obtain D=6, N=(1,1) de Sitter supergravity from a hyperbolic reduction of the massive type IIA* theory. We construct a smooth cosmological solution in which the co-moving time runs from an infinite past, which is dS_4\times S^2, to an infinite future, which is a dS_6-type spacetime with the boundary R^3\times S^2. This provides an effective four-dimensional cosmological model with two compact extra dimensions forming an S^2. Interestingly enough, although the solution is time-dependent, it arises from a first-order system via a superpotential construction. We lift the solutions back to D=10, and in particular obtain two smooth embeddings of dS_4 in massive type IIA*, with the internal space being either H^4\times S^2 or an H^4 bundle over S^2. We also obtain the analogous D=5 and D=4 solutions. We show that there exist cosmological solutions that describe an expanding universe with the expansion rate significantly larger in the past than in the future.
|
2110.04445
|
Carlos Eduardo Romero Figueroa
|
Alfredo Herrera-Aguilar, Joannis E. Paschalis and Carlos Eduardo
Romero-Figueroa
|
Hyperscaling violating Schrodinger black holes in
Einstein-Maxwell-scalar theory
|
12 pages in latex, 4 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a novel family of asymptotically Schrodinger hyperscaling
violating black holes with a generic dynamical critical exponent and an
arbitrary number of spacetime dimensions. This black hole family represents a
solution within the Einstein-Maxwell-scalar setup with a self-interaction
scalar potential where the Maxwell field is coupled to the scalar field.
Through an analysis of the curvature invariants it is observed that this
configuration is asymptotically regular for different ranges of the
hyperscaling violating exponent. Furthermore, the above mentioned solution
constitutes a gravitational candidate for describing field theories with
hyperscaling violating Schrodinger symmetry at finite temperature within the
framework of the Gravity/Condensed Matter Theory correspondence.
|
[
{
"created": "Sat, 9 Oct 2021 03:38:51 GMT",
"version": "v1"
}
] |
2021-10-12
|
[
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Paschalis",
"Joannis E.",
""
],
[
"Romero-Figueroa",
"Carlos Eduardo",
""
]
] |
We present a novel family of asymptotically Schrodinger hyperscaling violating black holes with a generic dynamical critical exponent and an arbitrary number of spacetime dimensions. This black hole family represents a solution within the Einstein-Maxwell-scalar setup with a self-interaction scalar potential where the Maxwell field is coupled to the scalar field. Through an analysis of the curvature invariants it is observed that this configuration is asymptotically regular for different ranges of the hyperscaling violating exponent. Furthermore, the above mentioned solution constitutes a gravitational candidate for describing field theories with hyperscaling violating Schrodinger symmetry at finite temperature within the framework of the Gravity/Condensed Matter Theory correspondence.
|
hep-th/9811217
|
Peter Mayr
|
P. Berglund and P. Mayr
|
Heterotic String/F-theory Duality from Mirror Symmetry
|
63 pages, harvmac, 2 figures, v2: references added, extended
explanations on non-perturbative five-branes and the identification of a line
bundle $\cal N$ that is an important characteristic of the gauge background
$V$
|
Adv.Theor.Math.Phys.2:1307-1372,1999
| null |
CERN-TH/98-365
|
hep-th
| null |
We use local mirror symmetry in type IIA string compactifications on
Calabi-Yau n+1 folds $X_{n+1}$ to construct vector bundles on (possibly
singular) elliptically fibered Calabi-Yau n-folds Z_n. The interpretation of
these data as valid classical solutions of the heterotic string compactified on
Z_n proves F-theory/heterotic duality at the classical level. Toric geometry is
used to establish a systematic dictionary that assigns to each given toric
n+1-fold $X_{n+1}$ a toric n fold Z_n together with a specific family of sheafs
on it. This allows for a systematic construction of phenomenologically
interesting d=4 N=1 heterotic vacua, e.g. on deformations of the tangent
bundle, with grand unified and SU(3)\times SU(2) gauge groups. As another
application we find non-perturbative gauge enhancements of the heterotic string
on singular Calabi-Yau manifolds and new non-perturbative dualities relating
heterotic compactifications on different manifolds.
|
[
{
"created": "Wed, 25 Nov 1998 21:28:00 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 1999 22:20:13 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Berglund",
"P.",
""
],
[
"Mayr",
"P.",
""
]
] |
We use local mirror symmetry in type IIA string compactifications on Calabi-Yau n+1 folds $X_{n+1}$ to construct vector bundles on (possibly singular) elliptically fibered Calabi-Yau n-folds Z_n. The interpretation of these data as valid classical solutions of the heterotic string compactified on Z_n proves F-theory/heterotic duality at the classical level. Toric geometry is used to establish a systematic dictionary that assigns to each given toric n+1-fold $X_{n+1}$ a toric n fold Z_n together with a specific family of sheafs on it. This allows for a systematic construction of phenomenologically interesting d=4 N=1 heterotic vacua, e.g. on deformations of the tangent bundle, with grand unified and SU(3)\times SU(2) gauge groups. As another application we find non-perturbative gauge enhancements of the heterotic string on singular Calabi-Yau manifolds and new non-perturbative dualities relating heterotic compactifications on different manifolds.
|
1102.1973
|
Sven Krippendorf
|
C.P. Burgess, Sven Krippendorf, Anshuman Maharana, Fernando Quevedo
|
Radiative Fermion Masses in Local D-Brane Models
|
21 pages. v2: minor rewording and reference added
|
JHEP 1105 (2011) 103
|
10.1007/JHEP05(2011)103
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of D-brane model building, we present a realistic framework
for generating fermion masses that are forbidden by global symmetries. We show
that the string theoretical Large volume scenario circumvents the standard lore
that fermion masses generated by loop effects are too small in generic gravity
mediated scenarios. We argue that the fact that in toric singularity models,
the up quark masses have always a zero eigenvalue, corresponding to the
lightest generation, is due to the presence of approximate global symmetries
that we explicitly identify in del Pezzo singularities. These symmetries are
broken by global effects and therefore proportional to inverse powers of the
volume. We estimate the generic size of radiative corrections to fermion masses
in different phenomenological manifestations of the Large volume scenario.
Concrete realizations in terms of flavor violating soft-terms are estimated and
contrasted with current bounds on flavour changing neutral currents.
Contributions from generic extra Higgs-like fields set bounds on their masses
close to the GUT scale to produce realistic fermion masses.
|
[
{
"created": "Wed, 9 Feb 2011 21:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2011 08:08:54 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Burgess",
"C. P.",
""
],
[
"Krippendorf",
"Sven",
""
],
[
"Maharana",
"Anshuman",
""
],
[
"Quevedo",
"Fernando",
""
]
] |
In the context of D-brane model building, we present a realistic framework for generating fermion masses that are forbidden by global symmetries. We show that the string theoretical Large volume scenario circumvents the standard lore that fermion masses generated by loop effects are too small in generic gravity mediated scenarios. We argue that the fact that in toric singularity models, the up quark masses have always a zero eigenvalue, corresponding to the lightest generation, is due to the presence of approximate global symmetries that we explicitly identify in del Pezzo singularities. These symmetries are broken by global effects and therefore proportional to inverse powers of the volume. We estimate the generic size of radiative corrections to fermion masses in different phenomenological manifestations of the Large volume scenario. Concrete realizations in terms of flavor violating soft-terms are estimated and contrasted with current bounds on flavour changing neutral currents. Contributions from generic extra Higgs-like fields set bounds on their masses close to the GUT scale to produce realistic fermion masses.
|
2002.07813
|
Raimon Luna
|
David Licht, Raimon Luna and Ryotaku Suzuki
|
Black Ripples, Flowers and Dumbbells at large $D$
|
53 pages, 28 figures; v2: 55 pages, references added, minor
modifications; v3: matches published version
|
JHEP 04 (2020) 108
|
10.1007/JHEP04(2020)108
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the rich phase space of singly spinning (both neutral and charged)
black hole solutions in the large $D$ limit. We find several 'bumpy' branches
which are connected to multiple (concentric) black rings, and black Saturns.
Additionally we obtain stationary solutions without axisymmetry that are only
stationary at $D\rightarrow \infty$, but correspond to long lived black hole
solutions at finite $D$. These multipolar solutions can appear as intermediate
configurations in the decay of ultra-spinning Myers-Perry black holes into
stable black holes. Finally we also construct stationary solutions
corresponding to the instability of such a multipolar solution.
|
[
{
"created": "Tue, 18 Feb 2020 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Feb 2020 16:35:27 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Apr 2020 17:58:17 GMT",
"version": "v3"
}
] |
2020-04-24
|
[
[
"Licht",
"David",
""
],
[
"Luna",
"Raimon",
""
],
[
"Suzuki",
"Ryotaku",
""
]
] |
We explore the rich phase space of singly spinning (both neutral and charged) black hole solutions in the large $D$ limit. We find several 'bumpy' branches which are connected to multiple (concentric) black rings, and black Saturns. Additionally we obtain stationary solutions without axisymmetry that are only stationary at $D\rightarrow \infty$, but correspond to long lived black hole solutions at finite $D$. These multipolar solutions can appear as intermediate configurations in the decay of ultra-spinning Myers-Perry black holes into stable black holes. Finally we also construct stationary solutions corresponding to the instability of such a multipolar solution.
|
1002.1862
|
Fedele Lizzi
|
Harald Grosse, Fedele Lizzi and Harold Steinacker
|
Gauge Symmetry Breaking in Matrix Models
|
2nd School on Quantum Gravity and Quantum Geometry session of the 9th
Hellenic School on Elementary Particle Physics and Gravity, Corfu', Greece.
V2: references added
| null |
10.1007/s10714-010-0992-6
|
DSF/4/2010, ICCUB-10-014
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that some features of the standard model, in particular the fermion
assignment and symmetry breaking, can be obtained in matrix model which
describes noncommutative gauge theory as well as gravity in an emergent way.
The mechanism is based on the presence of some extra (matrix) dimensions. These
extra dimensions are different from the usual ones which give to a
noncommutative geometry of the Gronewold-Moyal type, and are reminiscent of the
Connes-Lott model, although the action is very different.
|
[
{
"created": "Tue, 9 Feb 2010 14:07:20 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Feb 2010 13:03:17 GMT",
"version": "v2"
}
] |
2015-05-18
|
[
[
"Grosse",
"Harald",
""
],
[
"Lizzi",
"Fedele",
""
],
[
"Steinacker",
"Harold",
""
]
] |
We argue that some features of the standard model, in particular the fermion assignment and symmetry breaking, can be obtained in matrix model which describes noncommutative gauge theory as well as gravity in an emergent way. The mechanism is based on the presence of some extra (matrix) dimensions. These extra dimensions are different from the usual ones which give to a noncommutative geometry of the Gronewold-Moyal type, and are reminiscent of the Connes-Lott model, although the action is very different.
|
hep-th/0412263
|
Oliver Schroeder
|
O. Schroeder, A. Scardicchio and R. L. Jaffe
|
The Casimir Energy for a Hyperboloid Facing a Plate in the Optical
Approximation
|
v2: 14 pages, 11 eps figures; typo in eq. (21) removed, clarification
added, fig. 10 improved; version published in Phys. Rev. A
|
Phys.Rev. A72 (2005) 012105
|
10.1103/PhysRevA.72.012105
|
MIT-CTP-3578
|
hep-th quant-ph
| null |
We study the Casimir energy of a massless scalar field that obeys Dirichlet
boundary conditions on a hyperboloid facing a plate. We use the optical
approximation including the first six reflections and compare the results with
the predictions of the proximity force approximation and the semi-classical
method. We also consider finite size effects by contrasting the infinite with a
finite plate. We find sizable and qualitative differences between the new
optical method and the more traditional approaches.
|
[
{
"created": "Tue, 21 Dec 2004 18:48:47 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jul 2005 15:48:08 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Schroeder",
"O.",
""
],
[
"Scardicchio",
"A.",
""
],
[
"Jaffe",
"R. L.",
""
]
] |
We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the predictions of the proximity force approximation and the semi-classical method. We also consider finite size effects by contrasting the infinite with a finite plate. We find sizable and qualitative differences between the new optical method and the more traditional approaches.
|
0808.0400
|
Ian Jack
|
I. Jack, D.R.T. Jones and R. Purdy
|
The non-anticommutative supersymmetric Wess-Zumino model
|
28 pages, 7 figures, uses LaTeX
|
JHEP 0902:019,2009
|
10.1088/1126-6708/2009/02/019
|
LTH799
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the non-anticommutative (N=1/2) supersymmetric Wess-Zumino model
in four dimensions. Firstly we introduce differential operators which implement
the non-anticommutative supersymmetry algebra acting on the component fields
and action. Then we perform the renormalisation of the model up to two-loop
order, including the complete set of terms necessary for renormalisability. We
show that (at least up to this order) the results obtained when we eliminate
the auxiliary field after renormalisation are equivalent to those obtained when
we eliminate the auxiliary fields before quantisation.
|
[
{
"created": "Mon, 4 Aug 2008 11:05:56 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Nov 2008 10:34:00 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Dec 2008 12:30:24 GMT",
"version": "v3"
}
] |
2009-02-12
|
[
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T.",
""
],
[
"Purdy",
"R.",
""
]
] |
We discuss the non-anticommutative (N=1/2) supersymmetric Wess-Zumino model in four dimensions. Firstly we introduce differential operators which implement the non-anticommutative supersymmetry algebra acting on the component fields and action. Then we perform the renormalisation of the model up to two-loop order, including the complete set of terms necessary for renormalisability. We show that (at least up to this order) the results obtained when we eliminate the auxiliary field after renormalisation are equivalent to those obtained when we eliminate the auxiliary fields before quantisation.
|
1305.2394
|
David Berenstein
|
David Berenstein, Eric Dzienkowski
|
Open spin chains for giant gravitons and relativity
|
48 pages, 3 figures. v2: typos fixed
| null |
10.1007/JHEP08(2013)047
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study open spin chains for strings stretched between giant graviton states
in the N=4 SYM field theory in the collective coordinate approach. We study the
boundary conditions and the effective Hamiltonian of the corresponding spin
chain to two loop order.
The ground states of the spin chain have energies that match the relativistic
dispersion relation characteristic of massive W boson particles on the
worldvolume of the giant graviton configurations, up to second order in the
limit where the momentum is much larger than the mass. We find evidence for a
non-renormalization theorem for the ground state wave function of this spin
chain system. We also conjecture a generalization of this result to all loop
orders which makes it compatible with a fully relativistic dispersion relation.
We show that the conjecture follows if one assumes that the spin chain admits a
central charge extension that is sourced by the giant gravitons, generalizing
the giant magnon dispersion relation for closed string excitations. This
provides evidence for ten dimensional local physics mixing AdS directions and
the five-sphere emerging from an N=4 SYM computation in the presence of a
non-trivial background (made of D-branes) that break the conformal field theory
of the system.
|
[
{
"created": "Fri, 10 May 2013 17:30:18 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2013 18:40:50 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Berenstein",
"David",
""
],
[
"Dzienkowski",
"Eric",
""
]
] |
We study open spin chains for strings stretched between giant graviton states in the N=4 SYM field theory in the collective coordinate approach. We study the boundary conditions and the effective Hamiltonian of the corresponding spin chain to two loop order. The ground states of the spin chain have energies that match the relativistic dispersion relation characteristic of massive W boson particles on the worldvolume of the giant graviton configurations, up to second order in the limit where the momentum is much larger than the mass. We find evidence for a non-renormalization theorem for the ground state wave function of this spin chain system. We also conjecture a generalization of this result to all loop orders which makes it compatible with a fully relativistic dispersion relation. We show that the conjecture follows if one assumes that the spin chain admits a central charge extension that is sourced by the giant gravitons, generalizing the giant magnon dispersion relation for closed string excitations. This provides evidence for ten dimensional local physics mixing AdS directions and the five-sphere emerging from an N=4 SYM computation in the presence of a non-trivial background (made of D-branes) that break the conformal field theory of the system.
|
0903.0609
|
Niklas Beisert
|
Niklas Beisert
|
T-Duality, Dual Conformal Symmetry and Integrability for Strings on
AdS_5 x S^5
|
11 pages
|
Fortschr.Phys.57:329-337,2009
|
10.1002/prop.200900060
|
AEI-2009-027
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent years two intriguing observations have been made for N=4 super
Yang-Mills theory and for superstrings on AdS5xS5: In the planar limit the
computation of the spectrum is vastly simplified by the apparent integrability
of the models. Furthermore, planar scattering amplitudes of the gauge theory
display remarkable features which have been attributed to the appearance of a
dual superconformal symmetry. Here we review the connection of these two
developments from the point of view of the classical symmetry by means of a
super-T-self-duality. In particular, we show explicitly how the charges of
conformal symmetry and of the integrable structure are related to the dual
ones.
|
[
{
"created": "Tue, 3 Mar 2009 20:45:58 GMT",
"version": "v1"
}
] |
2009-06-22
|
[
[
"Beisert",
"Niklas",
""
]
] |
In recent years two intriguing observations have been made for N=4 super Yang-Mills theory and for superstrings on AdS5xS5: In the planar limit the computation of the spectrum is vastly simplified by the apparent integrability of the models. Furthermore, planar scattering amplitudes of the gauge theory display remarkable features which have been attributed to the appearance of a dual superconformal symmetry. Here we review the connection of these two developments from the point of view of the classical symmetry by means of a super-T-self-duality. In particular, we show explicitly how the charges of conformal symmetry and of the integrable structure are related to the dual ones.
|
0912.4873
|
Kazem Bitaghsir Fadafan
|
Kazem Bitaghsir Fadafan
|
Drag force in asymptotically Lifshitz spacetimes
|
14 pages, discussion on DC conductivity added, slightly shorter
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculated drag force for asymptotically Lifshitz space times in (d +
2)-dimensions with arbitrary dynamical exponent $z$. We find that at zero and
finite temperature the drag force has a non-zero value. Using the drag force
calculations, we investigate the DC conductivity of strange metals.
|
[
{
"created": "Thu, 24 Dec 2009 14:49:05 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jun 2010 11:35:27 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Sep 2010 12:15:29 GMT",
"version": "v3"
}
] |
2010-09-14
|
[
[
"Fadafan",
"Kazem Bitaghsir",
""
]
] |
We calculated drag force for asymptotically Lifshitz space times in (d + 2)-dimensions with arbitrary dynamical exponent $z$. We find that at zero and finite temperature the drag force has a non-zero value. Using the drag force calculations, we investigate the DC conductivity of strange metals.
|
2209.05004
|
Murat Gunaydin
|
Murat Gunaydin and Abhiram Kidambi
|
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional and
Hilbert Modular Forms
|
Further improvements in presentation; stressed further that our
definition of quantum degeneracy is purely number theoretic ; uniformized the
notation of math symbols; corrected numerous typos; reference added; This
replaces the last submission which used erroneously an earlier version of the
file
| null | null | null |
hep-th math-ph math.MP math.NT math.RA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quantum degeneracies of BPS black holes of octonionic magical
supergravity in five dimensions that is defined by the exceptional Jordan
algebra. We define the quantum degeneracy purely number theoretically as the
number of distinct states in the charge space with a given set of invariant
labels of the discrete U-duality group. We argue that the quantum degeneracies
of spherically symmetric stationary BPS black holes of octonionic magical
supergravity in five dimensions are given by the Fourier coefficients of the
modular forms of the exceptional group $E_{7(-25)}$. The charges of the black
holes take values in the lattice defined by the exceptional Jordan algebra
$J_3^{\mathbb{O}}(\mathcal{R})$ over integral octonions $\mathcal{R}$. The
quantum degeneracies of charge states of rank one and rank two BPS black holes
(zero area) are given by the Fourier coefficients of singular modular forms
$E_4(Z)$ and $E_8(Z)=(E_4(Z))^2$ of $E_{7(-25)}(Z)$. The rank 3 (large) BPS
black holes will be studied elsewhere. Following the work of N. Elkies and B.
Gross on the embeddings of cubic rings $A$ into the exceptional Jordan algebra
and their actions on the 24 dimensional orthogonal quadratic subspace of
$J_3^{\mathbb{O}}(\mathcal{R})$, we show that the quantum degeneracies of rank
one black holes described by such embeddings are given by the Fourier
coefficients of the Hilbert modular forms of $SL(2,A)$. If the discriminant of
the cubic ring $A$ is $D=p^2$ with $p$ a prime number then the isotropic lines
in the 24 dimensional quadratic space define a pair of Niemeier lattices which
can be taken as charge lattices of some BPS black holes. For $p=7$ they are the
Leech lattice with no roots and the lattice $A_6^4$ with 168 root vectors. We
also review the current status of the searches for the M/superstring theoretic
origins of the octonionic magical supergravity.
|
[
{
"created": "Mon, 12 Sep 2022 03:32:29 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jul 2023 04:34:11 GMT",
"version": "v2"
},
{
"created": "Sat, 11 Nov 2023 18:45:18 GMT",
"version": "v3"
},
{
"created": "Tue, 14 Nov 2023 03:03:38 GMT",
"version": "v4"
}
] |
2023-11-15
|
[
[
"Gunaydin",
"Murat",
""
],
[
"Kidambi",
"Abhiram",
""
]
] |
We study the quantum degeneracies of BPS black holes of octonionic magical supergravity in five dimensions that is defined by the exceptional Jordan algebra. We define the quantum degeneracy purely number theoretically as the number of distinct states in the charge space with a given set of invariant labels of the discrete U-duality group. We argue that the quantum degeneracies of spherically symmetric stationary BPS black holes of octonionic magical supergravity in five dimensions are given by the Fourier coefficients of the modular forms of the exceptional group $E_{7(-25)}$. The charges of the black holes take values in the lattice defined by the exceptional Jordan algebra $J_3^{\mathbb{O}}(\mathcal{R})$ over integral octonions $\mathcal{R}$. The quantum degeneracies of charge states of rank one and rank two BPS black holes (zero area) are given by the Fourier coefficients of singular modular forms $E_4(Z)$ and $E_8(Z)=(E_4(Z))^2$ of $E_{7(-25)}(Z)$. The rank 3 (large) BPS black holes will be studied elsewhere. Following the work of N. Elkies and B. Gross on the embeddings of cubic rings $A$ into the exceptional Jordan algebra and their actions on the 24 dimensional orthogonal quadratic subspace of $J_3^{\mathbb{O}}(\mathcal{R})$, we show that the quantum degeneracies of rank one black holes described by such embeddings are given by the Fourier coefficients of the Hilbert modular forms of $SL(2,A)$. If the discriminant of the cubic ring $A$ is $D=p^2$ with $p$ a prime number then the isotropic lines in the 24 dimensional quadratic space define a pair of Niemeier lattices which can be taken as charge lattices of some BPS black holes. For $p=7$ they are the Leech lattice with no roots and the lattice $A_6^4$ with 168 root vectors. We also review the current status of the searches for the M/superstring theoretic origins of the octonionic magical supergravity.
|
hep-th/0208157
|
Andrei Linde
|
Renata Kallosh and Andrei Linde
|
M-theory, Cosmological Constant and Anthropic Principle
|
8 pages, 6 figures, Introduction and Discussion are expanded
|
Phys.Rev.D67:023510,2003
|
10.1103/PhysRevD.67.023510
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We discuss the theory of dark energy based on maximally extended supergravity
and suggest a possible anthropic explanation of the present value of the
cosmological constant and of the observed ratio between dark energy and energy
of matter.
|
[
{
"created": "Wed, 21 Aug 2002 17:27:55 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Aug 2002 21:12:19 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Nov 2002 01:49:43 GMT",
"version": "v3"
}
] |
2009-09-29
|
[
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
]
] |
We discuss the theory of dark energy based on maximally extended supergravity and suggest a possible anthropic explanation of the present value of the cosmological constant and of the observed ratio between dark energy and energy of matter.
|
hep-th/0009163
|
Sergiu Vacaru
|
Sergiu I. Vacaru
|
Gauge and Einstein Gravity from Non-Abelian Gauge Models on
Noncommutative Spaces
|
latex209, 14 pages
|
Phys.Lett.B498:74-86,2001
|
10.1016/S0370-2693(00)01369-1
| null |
hep-th
| null |
Following the formalism of enveloping algebras and star product calculus we
formulate and analyze a model of gauge gravity on noncommutative spaces and
examine the conditions of its equivalence to general relativity. The
corresponding Seiberg-Witten maps are established which allow the definition of
respective dynamics for a finite number of gravitational gauge field components
on noncommutative spaces.
|
[
{
"created": "Thu, 21 Sep 2000 11:12:10 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Vacaru",
"Sergiu I.",
""
]
] |
Following the formalism of enveloping algebras and star product calculus we formulate and analyze a model of gauge gravity on noncommutative spaces and examine the conditions of its equivalence to general relativity. The corresponding Seiberg-Witten maps are established which allow the definition of respective dynamics for a finite number of gravitational gauge field components on noncommutative spaces.
|
1111.1595
|
Peter Horvathy
|
P-M. Zhang and P. A. Horvathy
|
Kohn condition and exotic Newton-Hooke symmetry in the non-commutative
Landau problem
|
12 pages, no figures. A minor error and some typos corrected, one
reference added
| null |
10.1016/j.physletb.2011.11.035
| null |
hep-th cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
$N$ "exotic" [alias non-commutative] particles with masses $m_a$, charges
$e_a$ and non-commutative parameters $\theta_a$, moving in a uniform magnetic
field $B$, separate into center-of-mass and internal motions if Kohn's
condition $e_a/m_a=\const$ is supplemented with $e_a\theta_a=\const.$ Then the
center-of-mass behaves as a single exotic particle carrying the total mass and
charge of the system, $M$ and $e$, and a suitably defined non-commutative
parameter $\Theta$. For vanishing electric field off the critical case $e\Theta
B\neq1$, the particles perform the usual cyclotronic motion with modified but
equal frequency. The system is symmetric under suitable time-dependent
translations which span a (4+2)- parameter centrally extended subgroup of the
"exotic" [i.e., two-parameter centrally extended] Newton-Hooke group. In the
critical case $B=B_c=(e\Theta)^{-1}$ the system is frozen into a static
"crystal" configuration. Adding a constant electric field, all particles
perform, collectively, a cyclotronic motion combined with a drift perpendicular
to the electric field when $e\Theta B\neq1$. For $B=B_c$ the cyclotronic motion
is eliminated and all particles move, collectively, following the Hall law. Our
time-dependent symmetries are reduced to the (2+1)-parameter Heisenberg group
of centrally-extended translations.
|
[
{
"created": "Mon, 7 Nov 2011 14:34:50 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2011 14:07:40 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Zhang",
"P-M.",
""
],
[
"Horvathy",
"P. A.",
""
]
] |
$N$ "exotic" [alias non-commutative] particles with masses $m_a$, charges $e_a$ and non-commutative parameters $\theta_a$, moving in a uniform magnetic field $B$, separate into center-of-mass and internal motions if Kohn's condition $e_a/m_a=\const$ is supplemented with $e_a\theta_a=\const.$ Then the center-of-mass behaves as a single exotic particle carrying the total mass and charge of the system, $M$ and $e$, and a suitably defined non-commutative parameter $\Theta$. For vanishing electric field off the critical case $e\Theta B\neq1$, the particles perform the usual cyclotronic motion with modified but equal frequency. The system is symmetric under suitable time-dependent translations which span a (4+2)- parameter centrally extended subgroup of the "exotic" [i.e., two-parameter centrally extended] Newton-Hooke group. In the critical case $B=B_c=(e\Theta)^{-1}$ the system is frozen into a static "crystal" configuration. Adding a constant electric field, all particles perform, collectively, a cyclotronic motion combined with a drift perpendicular to the electric field when $e\Theta B\neq1$. For $B=B_c$ the cyclotronic motion is eliminated and all particles move, collectively, following the Hall law. Our time-dependent symmetries are reduced to the (2+1)-parameter Heisenberg group of centrally-extended translations.
|
0802.2286
|
Daniel Grumiller
|
P. Castorina, D. Grumiller and A. Iorio
|
The Exact String Black-Hole behind the hadronic Rindler horizon?
|
15 pages, 2 eps figures
|
Phys.Rev.D77:124034,2008
|
10.1103/PhysRevD.77.124034
|
MIT-CTP 3927
|
hep-th hep-ph
| null |
The recently suggested interpretation of the universal hadronic freeze-out
temperature T_f ~ 170 Mev - found for all high energy scattering processes that
produce hadrons: e+ e-, p p, p anti-p, pi p, etc. and N N' (heavy-ion
collisions) - as a Unruh temperature triggers here the search for the
gravitational black-hole that in its near-horizon approximation better
simulates this hadronic phenomenon. To identify such a black-hole we begin our
gravity-gauge theory phenomenologies matching by asking the question: which
black-hole behind that Rindler horizon could reproduce the experimental
behavior of T_f (\sqrt{s}) in N N', where \sqrt{s} is the collision energy.
Provided certain natural assumptions hold, we show that the exact string
black-hole turns out to be the best candidate (as it fits the available data on
T_f (\sqrt{s})) and that its limiting case, the Witten black-hole, is the
unique candidate to explain the constant T_f for all elementary scattering
processes at large energy. We also are able to propose an effective description
of the screening of the hadronic string tension sigma(mu_b) due to the baryon
density effects on T_f.
|
[
{
"created": "Mon, 18 Feb 2008 17:52:18 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Castorina",
"P.",
""
],
[
"Grumiller",
"D.",
""
],
[
"Iorio",
"A.",
""
]
] |
The recently suggested interpretation of the universal hadronic freeze-out temperature T_f ~ 170 Mev - found for all high energy scattering processes that produce hadrons: e+ e-, p p, p anti-p, pi p, etc. and N N' (heavy-ion collisions) - as a Unruh temperature triggers here the search for the gravitational black-hole that in its near-horizon approximation better simulates this hadronic phenomenon. To identify such a black-hole we begin our gravity-gauge theory phenomenologies matching by asking the question: which black-hole behind that Rindler horizon could reproduce the experimental behavior of T_f (\sqrt{s}) in N N', where \sqrt{s} is the collision energy. Provided certain natural assumptions hold, we show that the exact string black-hole turns out to be the best candidate (as it fits the available data on T_f (\sqrt{s})) and that its limiting case, the Witten black-hole, is the unique candidate to explain the constant T_f for all elementary scattering processes at large energy. We also are able to propose an effective description of the screening of the hadronic string tension sigma(mu_b) due to the baryon density effects on T_f.
|
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