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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2212.11568
|
Matthew Heydeman
|
Matthew Heydeman, Christian B. Jepsen, Ziming Ji, Amos Yarom
|
Polyakov's confinement mechanism for generalized Maxwell theory
|
24 pages + references, 6 figures
| null |
10.1007/JHEP04(2023)119
|
PUPT- 2636
|
hep-th cond-mat.str-el hep-lat
|
http://creativecommons.org/licenses/by/4.0/
|
We study fractional-derivative Maxwell theory, as appears in effective
descriptions of, for example, large $N_f$ QED${}_3$, graphene, and some types
of surface defects. We argue that when the theory is UV completed on a lattice,
monopole condensation leads to a confining phase via the Polyakov confinement
mechanism.
|
[
{
"created": "Thu, 22 Dec 2022 09:46:42 GMT",
"version": "v1"
}
] |
2023-05-10
|
[
[
"Heydeman",
"Matthew",
""
],
[
"Jepsen",
"Christian B.",
""
],
[
"Ji",
"Ziming",
""
],
[
"Yarom",
"Amos",
""
]
] |
We study fractional-derivative Maxwell theory, as appears in effective descriptions of, for example, large $N_f$ QED${}_3$, graphene, and some types of surface defects. We argue that when the theory is UV completed on a lattice, monopole condensation leads to a confining phase via the Polyakov confinement mechanism.
|
hep-th/0110229
|
Zhou Bang Rong
|
Bang-Rong Zhou (Graduate School of the Chinese Academy of Sciences,
Beijing)
|
Identity of the imaginary-time and real-time thermal propagators for
scalar bound states in a one-generation Nambu-Jona-Lasinio model
|
5 pages, revtex4, no figures
|
Phys.Rev.D65:027701,2002
|
10.1103/PhysRevD.65.027701
|
AS-GS-TP-010 (2001)
|
hep-th
| null |
By rigorous reanalysis of the results, we have proven that the propagators at
finite temperature for scalar bound states in one-generation fermion condensate
scheme of electroweak symmetry breaking are in fact identical in the
imaginary-time and the real-time formalism. This dismisses the doubt about
possible discrepancy between the two formalisms in this problem. Identity of
the derived thermal transformation matrices of the real-time matrix propagators
for scalar bound states without and with chemical potential and the ones for
corresponding elementary scalar particles shows similarity of thermodynamic
property between the two types of particles. Only one former inference is
modified, i.e. when the two flavors of fermions have unequal nonzero masses,
the amplitude of the composite Higgs particle will decay instead grow in time.
|
[
{
"created": "Thu, 25 Oct 2001 10:17:16 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Zhou",
"Bang-Rong",
"",
"Graduate School of the Chinese Academy of Sciences,\n Beijing"
]
] |
By rigorous reanalysis of the results, we have proven that the propagators at finite temperature for scalar bound states in one-generation fermion condensate scheme of electroweak symmetry breaking are in fact identical in the imaginary-time and the real-time formalism. This dismisses the doubt about possible discrepancy between the two formalisms in this problem. Identity of the derived thermal transformation matrices of the real-time matrix propagators for scalar bound states without and with chemical potential and the ones for corresponding elementary scalar particles shows similarity of thermodynamic property between the two types of particles. Only one former inference is modified, i.e. when the two flavors of fermions have unequal nonzero masses, the amplitude of the composite Higgs particle will decay instead grow in time.
|
2310.07761
|
Rafael \'Alvarez-Garc\'ia
|
Rafael \'Alvarez-Garc\'ia, Seung-Joo Lee, Timo Weigand
|
Non-minimal Elliptic Threefolds at Infinite Distance I: Log Calabi-Yau
Resolutions
|
63+72 pages, 20 figures
| null | null |
CTPU-PTC-23-44, ZMP-HH/23-14
|
hep-th math.AG
|
http://creativecommons.org/licenses/by/4.0/
|
We study infinite-distance limits in the complex structure moduli space of
elliptic Calabi-Yau threefolds. In F-theory compactifications to six
dimensions, such limits include infinite-distance trajectories in the
non-perturbative open string moduli space. The limits are described as
degenerations of elliptic threefolds whose central elements exhibit non-minimal
elliptic fibers, in the Kodaira sense, over curves on the base. We show how
these non-crepant singularities can be removed by a systematic sequence of
blow-ups of the base, leading to a union of log Calabi-Yau spaces glued
together along their boundaries. We identify criteria for the blow-ups to give
rise to open chains or more complicated trees of components and analyse the
blow-up geometry. While our results are general and applicable to all
non-minimal degenerations of Calabi-Yau threefolds in codimension one, we
exemplify them in particular for elliptic threefolds over Hirzebruch surface
base spaces. We also explain how to extract the gauge algebra for F-theory
probing such reducible asymptotic geometries. This analysis is the basis for a
detailed F-theory interpretation of the associated infinite-distance limits
that will be provided in a companion paper.
|
[
{
"created": "Wed, 11 Oct 2023 18:00:01 GMT",
"version": "v1"
}
] |
2023-10-13
|
[
[
"Álvarez-García",
"Rafael",
""
],
[
"Lee",
"Seung-Joo",
""
],
[
"Weigand",
"Timo",
""
]
] |
We study infinite-distance limits in the complex structure moduli space of elliptic Calabi-Yau threefolds. In F-theory compactifications to six dimensions, such limits include infinite-distance trajectories in the non-perturbative open string moduli space. The limits are described as degenerations of elliptic threefolds whose central elements exhibit non-minimal elliptic fibers, in the Kodaira sense, over curves on the base. We show how these non-crepant singularities can be removed by a systematic sequence of blow-ups of the base, leading to a union of log Calabi-Yau spaces glued together along their boundaries. We identify criteria for the blow-ups to give rise to open chains or more complicated trees of components and analyse the blow-up geometry. While our results are general and applicable to all non-minimal degenerations of Calabi-Yau threefolds in codimension one, we exemplify them in particular for elliptic threefolds over Hirzebruch surface base spaces. We also explain how to extract the gauge algebra for F-theory probing such reducible asymptotic geometries. This analysis is the basis for a detailed F-theory interpretation of the associated infinite-distance limits that will be provided in a companion paper.
|
1205.0018
|
Nikolay Gromov
|
Nikolay Gromov
|
On the Derivation of the Exact Slope Function
|
8pages. v2: minor corrections, JHEP version
| null |
10.1007/JHEP02(2013)055
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we give a simple derivation of the exact slope function
conjectured by Basso for the anomalous dimensions of Wilson operators in the
sl2 sector of planar N=4 Super-Yang-Mills theory. We also discuss
generalizations of this result for higher charges and other sectors.
|
[
{
"created": "Mon, 30 Apr 2012 20:02:06 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2013 18:24:12 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Gromov",
"Nikolay",
""
]
] |
In this note we give a simple derivation of the exact slope function conjectured by Basso for the anomalous dimensions of Wilson operators in the sl2 sector of planar N=4 Super-Yang-Mills theory. We also discuss generalizations of this result for higher charges and other sectors.
|
2201.00903
|
Anindya Banerjee
|
Anindya Banerjee and Gregory W. Moore
|
Comments on Summing over Bordisms in TQFT
|
48 pages, 5 figures
| null |
10.1007/JHEP09(2022)171
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Recent works in quantum gravity, motivated by the factorization problem and
baby universes, have considered sums over bordisms with fixed boundaries in
topological quantum field theory (TQFT). We discuss this construction and
observe a curious splitting formula for the total amplitude.
|
[
{
"created": "Mon, 3 Jan 2022 22:59:33 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Aug 2022 17:46:26 GMT",
"version": "v2"
}
] |
2022-10-19
|
[
[
"Banerjee",
"Anindya",
""
],
[
"Moore",
"Gregory W.",
""
]
] |
Recent works in quantum gravity, motivated by the factorization problem and baby universes, have considered sums over bordisms with fixed boundaries in topological quantum field theory (TQFT). We discuss this construction and observe a curious splitting formula for the total amplitude.
|
1408.2073
|
Chongoh Lee
|
Chong Oh Lee
|
The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
|
18 pages, 5 figures, typos corrected, references added, version to
appear in PLB
| null |
10.1016/j.physletb.2014.09.046
| null |
hep-th
|
http://creativecommons.org/licenses/by/3.0/
|
We investigate the extended thermodynamic properties of higher-dimensional
Taub-NUT/Bolt-AdS spaces where a cosmological constant is treated as a
pressure. We find a general form for thermodynamic volumes of Taub-NUT/Bolt-AdS
black holes for arbitrary dimensions. Interestingly, it is found that the
Taub-NUT-AdS metric has a thermodynamically stable range when the total number
of dimensions is a multiple of 4 (4, 8, 12, ...). We also explore their phase
structure and find the first order phase transition holds for
higher-dimensional cases.
|
[
{
"created": "Sat, 9 Aug 2014 08:13:14 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2014 06:06:06 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Sep 2014 01:55:41 GMT",
"version": "v3"
}
] |
2015-06-22
|
[
[
"Lee",
"Chong Oh",
""
]
] |
We investigate the extended thermodynamic properties of higher-dimensional Taub-NUT/Bolt-AdS spaces where a cosmological constant is treated as a pressure. We find a general form for thermodynamic volumes of Taub-NUT/Bolt-AdS black holes for arbitrary dimensions. Interestingly, it is found that the Taub-NUT-AdS metric has a thermodynamically stable range when the total number of dimensions is a multiple of 4 (4, 8, 12, ...). We also explore their phase structure and find the first order phase transition holds for higher-dimensional cases.
|
1611.03137
|
Chia-Hsien Shen
|
Clifford Cheung, Karol Kampf, Jiri Novotny, Chia-Hsien Shen, Jaroslav
Trnka
|
A Periodic Table of Effective Field Theories
|
54 pages, 4 figures, 2 tables; v3 matched to JHEP version
| null |
10.1007/JHEP02(2017)020
|
CALT-TH-2016-032
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We systematically explore the space of scalar effective field theories (EFTs)
consistent with a Lorentz invariant and local S-matrix. To do so we define an
EFT classification based on four parameters characterizing 1) the number of
derivatives per interaction, 2) the soft properties of amplitudes, 3) the
leading valency of the interactions, and 4) the spacetime dimension. Carving
out the allowed space of EFTs, we prove that exceptional EFTs like the
non-linear sigma model, Dirac-Born-Infeld theory, and the special Galileon lie
precisely on the boundary of allowed theory space. Using on-shell momentum
shifts and recursion relations, we prove that EFTs with arbitrarily soft
behavior are forbidden and EFTs with leading valency much greater than the
spacetime dimension cannot have enhanced soft behavior. We then enumerate all
single scalar EFTs in d<6 and verify that they correspond to known theories in
the literature. Our results suggest that the exceptional theories are the
natural EFT analogs of gauge theory and gravity because they are one-parameter
theories whose interactions are strictly dictated by properties of the
S-matrix.
|
[
{
"created": "Thu, 10 Nov 2016 00:19:02 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2017 18:07:04 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Cheung",
"Clifford",
""
],
[
"Kampf",
"Karol",
""
],
[
"Novotny",
"Jiri",
""
],
[
"Shen",
"Chia-Hsien",
""
],
[
"Trnka",
"Jaroslav",
""
]
] |
We systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT classification based on four parameters characterizing 1) the number of derivatives per interaction, 2) the soft properties of amplitudes, 3) the leading valency of the interactions, and 4) the spacetime dimension. Carving out the allowed space of EFTs, we prove that exceptional EFTs like the non-linear sigma model, Dirac-Born-Infeld theory, and the special Galileon lie precisely on the boundary of allowed theory space. Using on-shell momentum shifts and recursion relations, we prove that EFTs with arbitrarily soft behavior are forbidden and EFTs with leading valency much greater than the spacetime dimension cannot have enhanced soft behavior. We then enumerate all single scalar EFTs in d<6 and verify that they correspond to known theories in the literature. Our results suggest that the exceptional theories are the natural EFT analogs of gauge theory and gravity because they are one-parameter theories whose interactions are strictly dictated by properties of the S-matrix.
|
hep-th/9806198
|
David Fairlie
|
D.B. Fairlie (University of Durham, U.K.)
|
Moyal Brackets, Star Products and the Generalised Wigner Function
|
7 pages, LaTeX, to appear in special issue of the J. of Chaos,
Solitons and Fractals
| null |
10.1016/S0960-0779(98)00158-1
|
DTP-98-43
|
hep-th
| null |
The Wigner-Weyl- Moyal approach to Quantum Mechanics is recalled, and
similarities to classical probability theory emphasised. The Wigner
distribution function is generalised and viewed as a construction of a bosonic
object, a target space co-ordinate, for example, in terms of a bilinear
convolution of two fermionic objects, e.g. a quark antiquark pair. This
construction is essentially non-local, generalising the idea of a local
current. Such Wigner functions are shown to solve a BPS generalised Moyal-Nahm
equation.
|
[
{
"created": "Wed, 24 Jun 1998 11:19:31 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Fairlie",
"D. B.",
"",
"University of Durham, U.K."
]
] |
The Wigner-Weyl- Moyal approach to Quantum Mechanics is recalled, and similarities to classical probability theory emphasised. The Wigner distribution function is generalised and viewed as a construction of a bosonic object, a target space co-ordinate, for example, in terms of a bilinear convolution of two fermionic objects, e.g. a quark antiquark pair. This construction is essentially non-local, generalising the idea of a local current. Such Wigner functions are shown to solve a BPS generalised Moyal-Nahm equation.
|
hep-th/0104117
|
Kostyantin Ilyenko
|
Kost' Ilyenko (IRE NASU, Kharkiv, Ukraine)
|
Twistor variational principle for null strings
|
4 pages, no figures, ReVTeX4b; based on a talk given at SSQFT'2000,
to be published in Nucl Phys B Conf Suppl
|
Nucl.Phys.Proc.Suppl.102:83-86,2001
|
10.1016/S0920-5632(01)01540-7
| null |
hep-th
| null |
I present a twistor action functional for null 2-surfaces (null strings) in
4D Minkowski spacetime. The proposed formulation is reparametrization invariant
and free of algebraic and differential constraints. Proposed approach results
in derivation of evolution equations for the null strings. It is shown that
non-geodesic null strings are contained in the presented formalism. A
discussion of the problem of minimality for 2-surfaces with degenerate induced
metric is given. I also speculate on the possible description of strings
(time-like 2-surfaces) and conventional (space-like) 2-surfaces.
|
[
{
"created": "Thu, 12 Apr 2001 14:56:17 GMT",
"version": "v1"
}
] |
2009-12-14
|
[
[
"Ilyenko",
"Kost'",
"",
"IRE NASU, Kharkiv, Ukraine"
]
] |
I present a twistor action functional for null 2-surfaces (null strings) in 4D Minkowski spacetime. The proposed formulation is reparametrization invariant and free of algebraic and differential constraints. Proposed approach results in derivation of evolution equations for the null strings. It is shown that non-geodesic null strings are contained in the presented formalism. A discussion of the problem of minimality for 2-surfaces with degenerate induced metric is given. I also speculate on the possible description of strings (time-like 2-surfaces) and conventional (space-like) 2-surfaces.
|
0801.0164
|
Shinya Tomizawa
|
Toshiharu Nakagawa, Hideki Ishihara, Ken Matsuno and Shinya Tomizawa
|
Charged Rotating Kaluza-Klein Black Holes in Five Dimensions
|
18 pages, 4 figures
|
Phys.Rev.D77:044040,2008
|
10.1103/PhysRevD.77.044040
|
OCU-PHYS 286,AP-GR 52
|
hep-th
| null |
We construct a new charged rotating Kaluza-Klein black hole solution in the
five-dimensional Einstein-Maxwell theory with a Chern-Simon term. The features
of the solutions are also investigated. The spacetime is asymptotically locally
flat, i.e., it asymptotes to a twisted $\rm S^1$ bundle over the
four-dimensional Minkowski spacetime. The solution describe a non-BPS black
hole rotating in the direction of the extra dimension. The solutions have the
limits to the supersymmetric black hole solutions, a new extreme non-BPS black
hole solutions and a new rotating non-BPS black hole solution with a constant
twisted $\rm S^1$ fiber.
|
[
{
"created": "Sun, 30 Dec 2007 20:34:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Nakagawa",
"Toshiharu",
""
],
[
"Ishihara",
"Hideki",
""
],
[
"Matsuno",
"Ken",
""
],
[
"Tomizawa",
"Shinya",
""
]
] |
We construct a new charged rotating Kaluza-Klein black hole solution in the five-dimensional Einstein-Maxwell theory with a Chern-Simon term. The features of the solutions are also investigated. The spacetime is asymptotically locally flat, i.e., it asymptotes to a twisted $\rm S^1$ bundle over the four-dimensional Minkowski spacetime. The solution describe a non-BPS black hole rotating in the direction of the extra dimension. The solutions have the limits to the supersymmetric black hole solutions, a new extreme non-BPS black hole solutions and a new rotating non-BPS black hole solution with a constant twisted $\rm S^1$ fiber.
|
hep-th/0408029
|
Jorgen Rasmussen
|
Jorgen Rasmussen
|
On conformal Jordan cells of finite and infinite rank
|
9 pages, LaTeX, v2: typo corrected, comments added, version to be
published
|
Lett.Math.Phys. 73 (2005) 83-90
|
10.1007/s11005-005-0001-2
| null |
hep-th
| null |
This work concerns in part the construction of conformal Jordan cells of
infinite rank and their reductions to conformal Jordan cells of finite rank. It
is also discussed how a procedure similar to Lie algebra contractions may
reduce a conformal Jordan cell of finite rank to one of lower rank. A conformal
Jordan cell of rank one corresponds to a primary field. This offers a picture
in which any finite conformal Jordan cell of a given conformal weight may be
obtained from a universal covering cell of the same weight but infinite rank.
|
[
{
"created": "Tue, 3 Aug 2004 23:50:59 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 2005 15:12:54 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Rasmussen",
"Jorgen",
""
]
] |
This work concerns in part the construction of conformal Jordan cells of infinite rank and their reductions to conformal Jordan cells of finite rank. It is also discussed how a procedure similar to Lie algebra contractions may reduce a conformal Jordan cell of finite rank to one of lower rank. A conformal Jordan cell of rank one corresponds to a primary field. This offers a picture in which any finite conformal Jordan cell of a given conformal weight may be obtained from a universal covering cell of the same weight but infinite rank.
|
2005.04962
|
Massimo Giovannini
|
Massimo Giovannini
|
Spurious gauge-invariance of higher-order contributions to the spectral
energy density of the relic gravitons
|
9 pages
| null |
10.1142/S0217751X20501651
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the same way as the energy density associated with the tensor modes of the
geometry modifies the evolution of the curvature perturbations, the scalar
modes may also indirectly affect the cosmic backgrounds of relic gravitons by
inducing higher-order corrections that are only superficially gauge-invariant.
This spurious gauge-invariance gets manifest when the effective anisotropic
stresses, computed in different coordinate systems, are preliminarily expressed
in a form that only depends on the curvature inhomogeneities defined on
comoving orthogonal hypersurfaces and on their corresponding time derivatives.
Using this observation we demonstrate in general terms that the higher-order
contributions derived in diverse coordinate systems coincide when the
wavelengths are smaller than the sound horizon defining the evolution of the
curvature inhomogeneities but they lead to sharply different results in the
opposite limit. A similar drawback arises when the energy density of the relic
gravitons is derived from competing energy-momentum pseudo-tensors and should
be consistently taken into account in the related phenomenological discussions.
|
[
{
"created": "Mon, 11 May 2020 09:45:41 GMT",
"version": "v1"
}
] |
2020-10-07
|
[
[
"Giovannini",
"Massimo",
""
]
] |
In the same way as the energy density associated with the tensor modes of the geometry modifies the evolution of the curvature perturbations, the scalar modes may also indirectly affect the cosmic backgrounds of relic gravitons by inducing higher-order corrections that are only superficially gauge-invariant. This spurious gauge-invariance gets manifest when the effective anisotropic stresses, computed in different coordinate systems, are preliminarily expressed in a form that only depends on the curvature inhomogeneities defined on comoving orthogonal hypersurfaces and on their corresponding time derivatives. Using this observation we demonstrate in general terms that the higher-order contributions derived in diverse coordinate systems coincide when the wavelengths are smaller than the sound horizon defining the evolution of the curvature inhomogeneities but they lead to sharply different results in the opposite limit. A similar drawback arises when the energy density of the relic gravitons is derived from competing energy-momentum pseudo-tensors and should be consistently taken into account in the related phenomenological discussions.
|
0903.2198
|
Van Mayes
|
Ching-Ming Chen, Tianjun Li, Van Eric Mayes, Dimitri V. Nanopoulos
|
MSSM-like AdS Flux Vacua with Frozen Open-string Moduli
|
30 pages
|
Int.J.Mod.Phys.A26:2353-2376,2011
|
10.1142/S0217751X11053456
|
ACT-03-09, MIFP-09-07
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct supersymmetric Pati-Salam flux vacua in AdS from intersecting
D6-branes on T^6/(Z_2 x Z_2'). The models constructed have three generations of
MSSM matter plus right-handed neutrinos. Because the cycles wrapped by the
D-branes are rigid there are no extra massless fields in the adjoint
representation, arising as open-string moduli. However, we find that it is
problematic to break the Pati-Salam gauge symmetry to the Standard Model (SM)
while keeping the SM hypercharge massless.
|
[
{
"created": "Thu, 12 Mar 2009 19:55:36 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 2011 19:11:08 GMT",
"version": "v2"
}
] |
2011-06-14
|
[
[
"Chen",
"Ching-Ming",
""
],
[
"Li",
"Tianjun",
""
],
[
"Mayes",
"Van Eric",
""
],
[
"Nanopoulos",
"Dimitri V.",
""
]
] |
We construct supersymmetric Pati-Salam flux vacua in AdS from intersecting D6-branes on T^6/(Z_2 x Z_2'). The models constructed have three generations of MSSM matter plus right-handed neutrinos. Because the cycles wrapped by the D-branes are rigid there are no extra massless fields in the adjoint representation, arising as open-string moduli. However, we find that it is problematic to break the Pati-Salam gauge symmetry to the Standard Model (SM) while keeping the SM hypercharge massless.
|
hep-th/0303140
|
James T. Liu
|
M. J. Duff and James T. Liu
|
Hidden Spacetime Symmetries and Generalized Holonomy in M-theory
|
Notes added addressing Hull's results in hep-th/0305039. We agree
with the necessity of SL(32,R) for classifying generalized holonomy.
References added. 18 pages, latex
|
Nucl.Phys. B674 (2003) 217-230
|
10.1016/j.nuclphysb.2003.09.019
|
MCTP-03-11
|
hep-th gr-qc math.DG
| null |
In M-theory vacua with vanishing 4-form F, one can invoke the ordinary
Riemannian holonomy H \subset SO(1,10) to account for unbroken supersymmetries
n=1, 2, 3, 4, 6, 8, 16, 32. However, the generalized holonomy conjecture, valid
for non-zero F, can account for more exotic fractions of supersymmetry, in
particular 16<n<32. The conjectured holonomies are given by H \subset G where G
are the generalized structure groups G=SO(d-1,1) x G(spacelike), G=ISO(d-1) x
G(null) and G=SO(d) x G(timelike) with 1<=d<11. For example,
G(spacelike)=SO(16), G(null)=[SU(8) x U(1)] \ltimes R^{56} and
G(timelike)=SO*(16) when d=3. Although extending spacetime symmetries, there is
no conflict with the Coleman-Mandula theorem. The holonomy conjecture rules out
certain vacua which are otherwise permitted by the supersymmetry algebra.
|
[
{
"created": "Fri, 14 Mar 2003 21:00:12 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Mar 2003 20:39:45 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jun 2003 21:58:12 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Duff",
"M. J.",
""
],
[
"Liu",
"James T.",
""
]
] |
In M-theory vacua with vanishing 4-form F, one can invoke the ordinary Riemannian holonomy H \subset SO(1,10) to account for unbroken supersymmetries n=1, 2, 3, 4, 6, 8, 16, 32. However, the generalized holonomy conjecture, valid for non-zero F, can account for more exotic fractions of supersymmetry, in particular 16<n<32. The conjectured holonomies are given by H \subset G where G are the generalized structure groups G=SO(d-1,1) x G(spacelike), G=ISO(d-1) x G(null) and G=SO(d) x G(timelike) with 1<=d<11. For example, G(spacelike)=SO(16), G(null)=[SU(8) x U(1)] \ltimes R^{56} and G(timelike)=SO*(16) when d=3. Although extending spacetime symmetries, there is no conflict with the Coleman-Mandula theorem. The holonomy conjecture rules out certain vacua which are otherwise permitted by the supersymmetry algebra.
|
hep-th/0501050
|
Antti J. Niemi
|
Andrei Marshakov and Antti J. Niemi
|
Yang-Mills, Complex Structures and Chern's Last Theorem
|
Chern's proof remains incomplete, and we have edited some statements
in our article accordingly
|
Mod.Phys.Lett. A20 (2005) 2583-2600
|
10.1142/S0217732305018761
|
FIAN/TD-18/04 ITEP/TH-81/04 UUITP-01/05
|
hep-th
| null |
Recently Shiing-Shen Chern suggested that the six dimensional sphere
$\mathbb{S}^6$ has no complex structure. Here we explore the relations between
his arguments and Yang-Mills theories. In particular, we propose that Chern's
approach is widely applicable to investigate connections between the geometry
of manifolds and the structure of gauge theories. We also discuss several
examples of manifolds, both with and without a complex structure.
|
[
{
"created": "Fri, 7 Jan 2005 16:38:43 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jan 2005 20:28:02 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jul 2005 13:56:12 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Marshakov",
"Andrei",
""
],
[
"Niemi",
"Antti J.",
""
]
] |
Recently Shiing-Shen Chern suggested that the six dimensional sphere $\mathbb{S}^6$ has no complex structure. Here we explore the relations between his arguments and Yang-Mills theories. In particular, we propose that Chern's approach is widely applicable to investigate connections between the geometry of manifolds and the structure of gauge theories. We also discuss several examples of manifolds, both with and without a complex structure.
|
hep-th/0306216
|
Yong-Shi Wu
|
Jian Dai, Yong-Shi Wu (Univ. of Utah)
|
Quiver Mechanics for Deconstructed Matrix String
|
LaTex2e, 16 pages, no figure; v2: More details on fermions added in
Appendix. References added; v3: more references added, submitted version; v4:
reference added
|
Phys.Lett. B576 (2003) 209-218
|
10.1016/j.physletb.2003.09.083
| null |
hep-th
| null |
In this paper we propose a quiver model of matrix quantum mechanics with 8
supercharges which, on a Higgs branch, deconstructs the worldsheet of Matrix
String Theory. This discrete model evades the fermion doubling problem and, in
the continuum limit, enhances the number of supersymmetries to sixteen. Our
model is motivated by orbifolding the Matrix Model, and the deconstruction {\it
ansatz} exhibits a duality between target space compactification and worldsheet
deconstruction.
|
[
{
"created": "Mon, 23 Jun 2003 06:27:16 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Jun 2003 23:39:57 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Jul 2003 08:42:45 GMT",
"version": "v3"
},
{
"created": "Fri, 26 Sep 2003 19:49:09 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Dai",
"Jian",
"",
"Univ. of Utah"
],
[
"Wu",
"Yong-Shi",
"",
"Univ. of Utah"
]
] |
In this paper we propose a quiver model of matrix quantum mechanics with 8 supercharges which, on a Higgs branch, deconstructs the worldsheet of Matrix String Theory. This discrete model evades the fermion doubling problem and, in the continuum limit, enhances the number of supersymmetries to sixteen. Our model is motivated by orbifolding the Matrix Model, and the deconstruction {\it ansatz} exhibits a duality between target space compactification and worldsheet deconstruction.
|
2101.07807
|
Ivan Kukuljan Dr
|
Ivan Kukuljan
|
Continuum approach to real time dynamics of 1+1D gauge field theory: out
of horizon correlations of the Schwinger model
|
9+7 pages, 7 figures. V2: Additional results added
|
Phys. Rev. D 104, 021702 (2021)
|
10.1103/PhysRevD.104.L021702
| null |
hep-th cond-mat.stat-mech gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We develop a truncated Hamiltonian method to study nonequilibrium real time
dynamics in the Schwinger model - the quantum electrodynamics in D=1+1. This is
a purely continuum method that captures reliably the invariance under local and
global gauge transformations and does not require a discretisation of
space-time. We use it to study a phenomenon that is expected not to be
tractable using lattice methods: we show that the 1+1D quantum electrodynamics
admits the dynamical horizon violation effect which was recently discovered in
the case of the sine-Gordon model. Following a quench of the model, oscillatory
long-range correlations develop, manifestly violating the horizon bound. We
find that the oscillation frequencies of the out-of-horizon correlations
correspond to twice the masses of the mesons of the model suggesting that the
effect is mediated through correlated meson pairs. We also report on the
cluster violation in the massive version of the model, previously known in the
massless Schwinger model. The results presented here reveal a novel
nonequilibrium phenomenon in 1+1D quantum electrodynamics and make a first step
towards establishing that the horizon violation effect is present in gauge
field theory.
|
[
{
"created": "Tue, 19 Jan 2021 19:00:07 GMT",
"version": "v1"
},
{
"created": "Tue, 18 May 2021 09:41:19 GMT",
"version": "v2"
}
] |
2021-07-21
|
[
[
"Kukuljan",
"Ivan",
""
]
] |
We develop a truncated Hamiltonian method to study nonequilibrium real time dynamics in the Schwinger model - the quantum electrodynamics in D=1+1. This is a purely continuum method that captures reliably the invariance under local and global gauge transformations and does not require a discretisation of space-time. We use it to study a phenomenon that is expected not to be tractable using lattice methods: we show that the 1+1D quantum electrodynamics admits the dynamical horizon violation effect which was recently discovered in the case of the sine-Gordon model. Following a quench of the model, oscillatory long-range correlations develop, manifestly violating the horizon bound. We find that the oscillation frequencies of the out-of-horizon correlations correspond to twice the masses of the mesons of the model suggesting that the effect is mediated through correlated meson pairs. We also report on the cluster violation in the massive version of the model, previously known in the massless Schwinger model. The results presented here reveal a novel nonequilibrium phenomenon in 1+1D quantum electrodynamics and make a first step towards establishing that the horizon violation effect is present in gauge field theory.
|
hep-th/0205055
|
T. Padmanabhan
|
T. Padmanabhan and T. Roy Choudhury
|
Can the clustered dark matter and the smooth dark energy arise from the
same scalar field ?
|
Revised to match the published version. Minor changes and a reference
added
|
Phys.Rev. D66 (2002) 081301
|
10.1103/PhysRevD.66.081301
|
IUCAA preprint 17/2002
|
hep-th astro-ph gr-qc
| null |
Cosmological observations suggest the existence of two different kinds of
energy densities dominating at small ($ \lesssim 500$ Mpc) and large ($\gtrsim
1000 $ Mpc) scales. The dark matter component, which dominates at small scales,
contributes $\Omega_m \approx 0.35$ and has an equation of state $p=0$ while
the dark energy component, which dominates at large scales, contributes
$\Omega_V \approx 0.65$ and has an equation of state $p\simeq -\rho$. It is
usual to postulate wimps for the first component and some form of scalar field
or cosmological constant for the second component. We explore the possibility
of a scalar field with a Lagrangian $L =- V(\phi) \sqrt{1 - \del^i \phi \del_i
\phi}$ acting as {\it both} clustered dark matter and smoother dark energy and
having a scale dependent equation of state. This model predicts a relation
between the ratio $ r = \rho_V/\rho_{\rm DM}$ of the energy densities of the
two dark components and expansion rate $n$ of the universe (with $a(t) \propto
t^n$) in the form $n = (2/3) (1+r) $. For $r \approx 2$, we get $n \approx 2$
which is consistent with observations.
|
[
{
"created": "Tue, 7 May 2002 06:10:44 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2002 05:29:19 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Padmanabhan",
"T.",
""
],
[
"Choudhury",
"T. Roy",
""
]
] |
Cosmological observations suggest the existence of two different kinds of energy densities dominating at small ($ \lesssim 500$ Mpc) and large ($\gtrsim 1000 $ Mpc) scales. The dark matter component, which dominates at small scales, contributes $\Omega_m \approx 0.35$ and has an equation of state $p=0$ while the dark energy component, which dominates at large scales, contributes $\Omega_V \approx 0.65$ and has an equation of state $p\simeq -\rho$. It is usual to postulate wimps for the first component and some form of scalar field or cosmological constant for the second component. We explore the possibility of a scalar field with a Lagrangian $L =- V(\phi) \sqrt{1 - \del^i \phi \del_i \phi}$ acting as {\it both} clustered dark matter and smoother dark energy and having a scale dependent equation of state. This model predicts a relation between the ratio $ r = \rho_V/\rho_{\rm DM}$ of the energy densities of the two dark components and expansion rate $n$ of the universe (with $a(t) \propto t^n$) in the form $n = (2/3) (1+r) $. For $r \approx 2$, we get $n \approx 2$ which is consistent with observations.
|
2403.13047
|
Mykhaylo Usatyuk
|
Mykhaylo Usatyuk, Ying Zhao
|
Closed universes, factorization, and ensemble averaging
|
14 + 1 pages, 2 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We study closed universes in holographic theories of quantum gravity. We
argue that within any fixed theory, factorization implies there is one unique
closed universe state. The wave function of any state that can be prepared by
the path integral is proportional to the Hartle-Hawking wave function. This
unique wave function depends on the properties of the underlying holographic
theory such as the energy spectrum. We show these properties explicitly in JT
gravity, which is known to be dual to an ensemble of random Hamiltonians. For
each member of the ensemble, the corresponding wave function is erratic as a
result of the spectrum being chaotic. After ensemble averaging, we obtain
smooth semi-classical wave functions as well as different closed universe
states.
|
[
{
"created": "Tue, 19 Mar 2024 18:00:00 GMT",
"version": "v1"
}
] |
2024-03-21
|
[
[
"Usatyuk",
"Mykhaylo",
""
],
[
"Zhao",
"Ying",
""
]
] |
We study closed universes in holographic theories of quantum gravity. We argue that within any fixed theory, factorization implies there is one unique closed universe state. The wave function of any state that can be prepared by the path integral is proportional to the Hartle-Hawking wave function. This unique wave function depends on the properties of the underlying holographic theory such as the energy spectrum. We show these properties explicitly in JT gravity, which is known to be dual to an ensemble of random Hamiltonians. For each member of the ensemble, the corresponding wave function is erratic as a result of the spectrum being chaotic. After ensemble averaging, we obtain smooth semi-classical wave functions as well as different closed universe states.
|
2104.05708
|
Miguel Zilhao
|
Yago Bea, Jorge Casalderrey-Solana, Thanasis Giannakopoulos, David
Mateos, Mikel Sanchez-Garitaonandia, Miguel Zilh\~ao
|
Bubble Wall Velocity from Holography
|
6 pages, 9 figures. Matches published version in PRD
|
Phys. Rev. D 104, L121903 (2021)
|
10.1103/PhysRevD.104.L121903
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cosmological phase transitions proceed via the nucleation of bubbles that
subsequently expand and collide. The resulting gravitational wave spectrum
depends crucially on the bubble wall velocity. Microscopic calculations of this
velocity are challenging even in weakly coupled theories. We use holography to
compute the wall velocity from first principles in a strongly coupled,
non-Abelian, four-dimensional gauge theory. The wall velocity is determined
dynamically in terms of the nucleation temperature. We find an approximately
linear relation between the velocity and the ratio $\Delta
\mathcal{P}/\mathcal{E}$, with $\Delta \mathcal{P}$ the pressure difference
between the inside and the outside of the bubble and $\mathcal{E}$ the energy
density outside the bubble. Up to a rescaling, the wall profile is well
approximated by that of an equilibrium, phase-separated configuration at the
critical temperature. We verify that ideal hydrodynamics provides a good
description of the system everywhere except near the wall.
|
[
{
"created": "Mon, 12 Apr 2021 17:59:46 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2022 20:18:50 GMT",
"version": "v2"
}
] |
2022-03-21
|
[
[
"Bea",
"Yago",
""
],
[
"Casalderrey-Solana",
"Jorge",
""
],
[
"Giannakopoulos",
"Thanasis",
""
],
[
"Mateos",
"David",
""
],
[
"Sanchez-Garitaonandia",
"Mikel",
""
],
[
"Zilhão",
"Miguel",
""
]
] |
Cosmological phase transitions proceed via the nucleation of bubbles that subsequently expand and collide. The resulting gravitational wave spectrum depends crucially on the bubble wall velocity. Microscopic calculations of this velocity are challenging even in weakly coupled theories. We use holography to compute the wall velocity from first principles in a strongly coupled, non-Abelian, four-dimensional gauge theory. The wall velocity is determined dynamically in terms of the nucleation temperature. We find an approximately linear relation between the velocity and the ratio $\Delta \mathcal{P}/\mathcal{E}$, with $\Delta \mathcal{P}$ the pressure difference between the inside and the outside of the bubble and $\mathcal{E}$ the energy density outside the bubble. Up to a rescaling, the wall profile is well approximated by that of an equilibrium, phase-separated configuration at the critical temperature. We verify that ideal hydrodynamics provides a good description of the system everywhere except near the wall.
|
hep-th/9911079
|
Shoichi Ichinose
|
Shoichi Ichinose
|
Renormalization using Domain Wall Regularization
|
18 pages, 3 figures
|
Prog.Theor.Phys. 107 (2002) 1069-1084
|
10.1143/PTP.107.1069
|
RIMS-1336, AEI-1999-35
|
hep-th hep-lat
| null |
We formulate the renormalization procedure using the domain wall
regularization that is based on the heat-kernel method. The quantum effects of
both fermions and bosons (gauge fields) are taken into account. The background
field method is quite naturally introduced. With regard to the treatment of the
loop-momentum integrals, an interesting contrast between the
fermion-determinant part and other parts is revealed. These points are
elucidated by considering some examples. The Weyl anomalies for 2D QED and 4D
QED are correctly obtained. It is found that the ``chiral solution'' produces
(1/2)$^{d/2}$ $\times$ ``correct values'', where $d$ is the spatial dimension.
Considering the model of 2D QED, both Weyl and chiral anomalies are directly
obtained from the effective action. The mass and wave function renormalization
are explicitly performed in 4D QED. We confirm the multiplicative (not
additive) renormalization, which demonstrates the advantage of no fine-tuning.
The relation with the recently popular higher-dimensional approach, such as the
Randall- Sundrum model, is commented on.
|
[
{
"created": "Thu, 11 Nov 1999 10:46:36 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2001 00:18:00 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Oct 2001 05:38:03 GMT",
"version": "v3"
},
{
"created": "Wed, 22 May 2002 08:45:34 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Ichinose",
"Shoichi",
""
]
] |
We formulate the renormalization procedure using the domain wall regularization that is based on the heat-kernel method. The quantum effects of both fermions and bosons (gauge fields) are taken into account. The background field method is quite naturally introduced. With regard to the treatment of the loop-momentum integrals, an interesting contrast between the fermion-determinant part and other parts is revealed. These points are elucidated by considering some examples. The Weyl anomalies for 2D QED and 4D QED are correctly obtained. It is found that the ``chiral solution'' produces (1/2)$^{d/2}$ $\times$ ``correct values'', where $d$ is the spatial dimension. Considering the model of 2D QED, both Weyl and chiral anomalies are directly obtained from the effective action. The mass and wave function renormalization are explicitly performed in 4D QED. We confirm the multiplicative (not additive) renormalization, which demonstrates the advantage of no fine-tuning. The relation with the recently popular higher-dimensional approach, such as the Randall- Sundrum model, is commented on.
|
hep-th/0006224
|
Emanuel Diaconescu
|
Duiliu-Emanuel Diaconescu, Michael R. Douglas
|
D-branes on Stringy Calabi-Yau Manifolds
|
33 pages
| null | null |
IASSNS-HEP-00/50, RUNHETC-2000-27
|
hep-th
| null |
We argue that D-branes corresponding to rational B boundary states in a
Gepner model can be understood as fractional branes in the Landau-Ginzburg
orbifold phase of the linear sigma model description. Combining this idea with
the generalized McKay correspondence allows us to identify these states with
coherent sheaves, and to calculate their K-theory classes in the large volume
limit, without needing to invoke mirror symmetry. We check this identification
against the mirror symmetry results for the example of the Calabi-Yau
hypersurface in $\WP^{1,1,2,2,2}$.
|
[
{
"created": "Wed, 28 Jun 2000 22:05:35 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Diaconescu",
"Duiliu-Emanuel",
""
],
[
"Douglas",
"Michael R.",
""
]
] |
We argue that D-branes corresponding to rational B boundary states in a Gepner model can be understood as fractional branes in the Landau-Ginzburg orbifold phase of the linear sigma model description. Combining this idea with the generalized McKay correspondence allows us to identify these states with coherent sheaves, and to calculate their K-theory classes in the large volume limit, without needing to invoke mirror symmetry. We check this identification against the mirror symmetry results for the example of the Calabi-Yau hypersurface in $\WP^{1,1,2,2,2}$.
|
hep-th/9607210
|
Witold Skiba
|
Csaba Csaki, Witold Skiba (MIT) and Martin Schmaltz (Boston U.)
|
Exact Results and Duality for SP(2N) SUSY Gauge Theories with an
Antisymmetric Tensor
|
15 pages, LaTeX
|
Nucl.Phys.B487:128-140,1997
|
10.1016/S0550-3213(96)00709-2
|
MIT-CTP-2552, BU/HEP-96-23
|
hep-th hep-ph
| null |
We study supersymmetric Sp(2N) gauge theories with matter in the
antisymmetric tensor representation and F fundamentals. For F=6 we solve the
theory exactly in terms of confined degrees of freedom and a superpotential. By
adding mass terms we obtain the theories with F<6 which we find to exhibit a
host of interesting non-perturbative phenomena: quantum deformed moduli spaces
with N constraints, instanton-induced superpotentials and non-equivalent
disjoint branches of moduli spaces. We find a simple dual for F=8 and no
superpotential. We show how the F=4 and F=2 theories can be modified to break
supersymmetry spontaneously and point out that the Sp(6) theory with F=6 may be
very interesting for model builders.
|
[
{
"created": "Mon, 29 Jul 1996 05:31:26 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Csaki",
"Csaba",
"",
"MIT"
],
[
"Skiba",
"Witold",
"",
"MIT"
],
[
"Schmaltz",
"Martin",
"",
"Boston U."
]
] |
We study supersymmetric Sp(2N) gauge theories with matter in the antisymmetric tensor representation and F fundamentals. For F=6 we solve the theory exactly in terms of confined degrees of freedom and a superpotential. By adding mass terms we obtain the theories with F<6 which we find to exhibit a host of interesting non-perturbative phenomena: quantum deformed moduli spaces with N constraints, instanton-induced superpotentials and non-equivalent disjoint branches of moduli spaces. We find a simple dual for F=8 and no superpotential. We show how the F=4 and F=2 theories can be modified to break supersymmetry spontaneously and point out that the Sp(6) theory with F=6 may be very interesting for model builders.
|
1503.07084
|
Stephen Adler
|
Stephen L. Adler
|
$SU(n)$ symmetry breaking by rank three and rank two antisymmetric
tensor scalars
|
Latex, 11 pages; v2 has a minor revision above Eq. (30)
|
Physics Letters B744 (2015) 380-384
|
10.1016/j.physletb.2015.04.016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $SU(n)$ symmetry breaking by rank three and rank two antisymmetric
tensor fields. Using tensor analysis, we derive branching rules for the adjoint
and antisymmetric tensor representations, and explain why for general $SU(n)$
one finds the same $U(1)$ generator mismatch that we noted earlier in special
cases. We then compute the masses of the various scalar fields in the branching
expansion, in terms of parameters of the general renormalizable potential for
the antisymmetric tensor fields.
|
[
{
"created": "Tue, 24 Mar 2015 15:41:49 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Apr 2015 16:19:11 GMT",
"version": "v2"
}
] |
2015-05-22
|
[
[
"Adler",
"Stephen L.",
""
]
] |
We study $SU(n)$ symmetry breaking by rank three and rank two antisymmetric tensor fields. Using tensor analysis, we derive branching rules for the adjoint and antisymmetric tensor representations, and explain why for general $SU(n)$ one finds the same $U(1)$ generator mismatch that we noted earlier in special cases. We then compute the masses of the various scalar fields in the branching expansion, in terms of parameters of the general renormalizable potential for the antisymmetric tensor fields.
|
hep-th/0110047
|
Alexandre Grezzi de Miranda Schmidt
|
Alfredo T. Suzuki and Alexandre G. de M. Schmidt
|
Non-planar double-box, massive and massless pentabox Feynman integrals
in negative dimensional approach
|
Latex, 12 pages, 2 figures, uses axodraw (included)
|
J.Phys.A35:151-164,2002
|
10.1088/0305-4470/35/1/312
| null |
hep-th
| null |
Negative dimensional integration method (NDIM) is a technique which can be
applied, with success, in usual covariant gauge calculations. We consider three
two-loop diagrams: the scalar massless non-planar double-box with six
propagators and the scalar pentabox in two cases, where six virtual particles
have the same mass and in the case where all of them are massless. Our results
are given in terms hypergeometric functions of Mandelstam variables and for
arbitrary exponents of propagators and dimension $D$ as well.
|
[
{
"created": "Thu, 4 Oct 2001 16:39:32 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Suzuki",
"Alfredo T.",
""
],
[
"Schmidt",
"Alexandre G. de M.",
""
]
] |
Negative dimensional integration method (NDIM) is a technique which can be applied, with success, in usual covariant gauge calculations. We consider three two-loop diagrams: the scalar massless non-planar double-box with six propagators and the scalar pentabox in two cases, where six virtual particles have the same mass and in the case where all of them are massless. Our results are given in terms hypergeometric functions of Mandelstam variables and for arbitrary exponents of propagators and dimension $D$ as well.
|
1708.09106
|
Yutaka Sakamura
|
Hiroyuki Abe, Shuntaro Aoki and Yutaka Sakamura
|
Full diffeomorphism and Lorentz invariance in 4D ${\cal N}=1$ superfield
description of 6D SUGRA
|
45 pages, some comments added
| null |
10.1007/JHEP11(2017)146
|
KEK-TH-1991, WU-HEP-17-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We complete the four-dimensional ${\cal N}=1$ superfield description of
six-dimensional supergravity. The missing ingredients in the previous works are
the superfields that contain the sechsbein $e_4^{\;\;\underline{\nu}}$,
$e_5^{\;\;\underline{\nu}}$, $e_\mu^{\;\;\underline{4}}$,
$e_\mu^{\;\;\underline{5}}$ and the second gravitino. They are necessary to
make the action invariant under the diffeomorphisms and the Lorentz
transformations involving the extra dimensions. We find the corresponding
superfield transformation laws, and show the invariance of the action under
them. We also check that the resultant action reproduces the known superfield
description of five-dimensional supergravity through the dimensional reduction.
|
[
{
"created": "Wed, 30 Aug 2017 04:18:23 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Sep 2017 11:44:16 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Nov 2017 08:46:49 GMT",
"version": "v3"
}
] |
2018-01-17
|
[
[
"Abe",
"Hiroyuki",
""
],
[
"Aoki",
"Shuntaro",
""
],
[
"Sakamura",
"Yutaka",
""
]
] |
We complete the four-dimensional ${\cal N}=1$ superfield description of six-dimensional supergravity. The missing ingredients in the previous works are the superfields that contain the sechsbein $e_4^{\;\;\underline{\nu}}$, $e_5^{\;\;\underline{\nu}}$, $e_\mu^{\;\;\underline{4}}$, $e_\mu^{\;\;\underline{5}}$ and the second gravitino. They are necessary to make the action invariant under the diffeomorphisms and the Lorentz transformations involving the extra dimensions. We find the corresponding superfield transformation laws, and show the invariance of the action under them. We also check that the resultant action reproduces the known superfield description of five-dimensional supergravity through the dimensional reduction.
|
1209.3478
|
Marek Rogatko
|
Marek Rogatko
|
Matter ouside a Static Higher-dimensional Black Hole
|
14 pages, RevTex, to be published in Phys.Rev.D15
|
Phys.Rev.D86, 064005 (2012)
|
10.1103/PhysRevD.86.064005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We considered matter fields composed of a perfect fluid in the static
higher-dimensional spherically symmetric asymptotically flat black hole
spacetime. The proof of the nonexistence of perfect fluid matter in such a
background was provided under the auxiliary condition, which can be interpreted
as a relation connecting the stellar mass and the black hole mass in question.
|
[
{
"created": "Sun, 16 Sep 2012 11:49:34 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Rogatko",
"Marek",
""
]
] |
We considered matter fields composed of a perfect fluid in the static higher-dimensional spherically symmetric asymptotically flat black hole spacetime. The proof of the nonexistence of perfect fluid matter in such a background was provided under the auxiliary condition, which can be interpreted as a relation connecting the stellar mass and the black hole mass in question.
|
hep-th/9711044
|
George Leontaris
|
E.G. Floratos, G.K. Leontaris, A.P. Polychronakos, R. Tzani
|
On The Instanton Solutions Of The Self-Dual Membrane In Various
Dimensions
|
Latex, 21p., few typos corrected, version to appear in Phys. Lett. B
|
Phys.Lett. B421 (1998) 125-130
|
10.1016/S0370-2693(97)01574-8
| null |
hep-th
| null |
We present some methods of determining explicit solutions for self-dual
supermembranes in 4+1 and 8+1 dimensions with spherical or toroidal topology.
For configurations of axial symmetry, the continuous SU(\infty) Toda equation
turns out to play a central role, and a specific method of determining all the
periodic solutions are suggested. A number of examples are studied in detail.
|
[
{
"created": "Thu, 6 Nov 1997 22:34:29 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Dec 1997 17:42:29 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Floratos",
"E. G.",
""
],
[
"Leontaris",
"G. K.",
""
],
[
"Polychronakos",
"A. P.",
""
],
[
"Tzani",
"R.",
""
]
] |
We present some methods of determining explicit solutions for self-dual supermembranes in 4+1 and 8+1 dimensions with spherical or toroidal topology. For configurations of axial symmetry, the continuous SU(\infty) Toda equation turns out to play a central role, and a specific method of determining all the periodic solutions are suggested. A number of examples are studied in detail.
|
1801.07349
|
Mohamed Anber
|
Mohamed M. Anber
|
Large-scale messengers from arbitrary spin fields
|
35 pages, 1 figure
| null |
10.1007/JHEP06(2018)154
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that nonperturbative production of arbitrary spin fields from vacuum
will accompany the generation of non-vanishing macroscopic energy-momentum
tensor correlators. This argument is based on the general causal field
formalism, which gives a manifestly covariant description of higher spin
particles without any reference to gauge redundancy. Our findings are direct
consequence of the Poincar\'e covariance and anlayticity of the Green's
functions and independent of any detailed particle physics model. Further, we
discuss the idea that any mechanism causing imbalance between the on-shell
production of left- and right-handed fields leads to a helical structure in the
energy momentum correlators and violation of the macroscopic parity symmetry.
We check our method for fields with spin $\frac{1}{2}$ and show that it
correctly reproduces previous results. However, the formalism suffers from
pathologies related to non-localities that appear for massless particles with
spin $\geq 1$ in flat space. We discuss the origin of these pathologies and the
relevance of our findings to cosmology.
|
[
{
"created": "Mon, 22 Jan 2018 23:40:25 GMT",
"version": "v1"
}
] |
2018-08-01
|
[
[
"Anber",
"Mohamed M.",
""
]
] |
We show that nonperturbative production of arbitrary spin fields from vacuum will accompany the generation of non-vanishing macroscopic energy-momentum tensor correlators. This argument is based on the general causal field formalism, which gives a manifestly covariant description of higher spin particles without any reference to gauge redundancy. Our findings are direct consequence of the Poincar\'e covariance and anlayticity of the Green's functions and independent of any detailed particle physics model. Further, we discuss the idea that any mechanism causing imbalance between the on-shell production of left- and right-handed fields leads to a helical structure in the energy momentum correlators and violation of the macroscopic parity symmetry. We check our method for fields with spin $\frac{1}{2}$ and show that it correctly reproduces previous results. However, the formalism suffers from pathologies related to non-localities that appear for massless particles with spin $\geq 1$ in flat space. We discuss the origin of these pathologies and the relevance of our findings to cosmology.
|
2104.08927
|
Reginaldo Prado
|
Pedro D. Alvarez, Pedro Garc\'ia, Maria Pilar Garcia del Moral,
Joselen M. Pe\~na, Reginaldo Prado
|
Spinning solutions for the bosonic M2-brane with $C_{\pm}$ fluxes
|
Some clarifications added to section 2 and the discussion session has
been enriched. Some references added. Results unchanged. Some change letter
size. Latex, 33 pages, 5 figures. Accepted in JHEP
|
JHEP 02 (2022) 28
|
10.1007/JHEP02(2022)028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we obtain classical solutions of the bosonic sector of the
supermembrane theory with two-form fluxes associated to a quantized constant
$C_{\pm}$ background. This theory satisfies a flux condition on the worldvolume
that induces monopoles over it. Classically it is stable as it does not contain
string-like spikes with zero energy in distinction with the general case. At
quantum level the bosonic membrane has a purely discrete spectrum but the
relevance is that the same property holds for its supersymmetric spectrum. We
find for this theory spinning membrane solutions, some of them including the
presence of a non-vanishing symplectic gauge connection defined on its
worldvolume in different approximations. By using the duality found between
this theory and the so-called supermembrane with central charges, rotating
membrane solutions found in that case, are also solutions of the M2-brane with
$C_{\pm}$ fluxes. We generalize this result to other embeddings. We find new
distinctive rotating membrane solutions, some of them including the presence of
a non-vanishing symplectic gauge connection defined on its worldvolume. We
obtain numerical and analytical solutions in different approximations
characterizing the dynamics of the membrane with fluxes $C_{\pm}$ for different
ans\"atze of the dynamical degrees of freedom. Finally we discuss the physical
admissibility of some of these ans\"atze to model the components of the
symplectic gauge field.
|
[
{
"created": "Sun, 18 Apr 2021 18:17:58 GMT",
"version": "v1"
},
{
"created": "Mon, 10 May 2021 15:40:53 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Oct 2021 16:51:34 GMT",
"version": "v3"
},
{
"created": "Mon, 31 Jan 2022 14:39:12 GMT",
"version": "v4"
}
] |
2022-02-11
|
[
[
"Alvarez",
"Pedro D.",
""
],
[
"García",
"Pedro",
""
],
[
"del Moral",
"Maria Pilar Garcia",
""
],
[
"Peña",
"Joselen M.",
""
],
[
"Prado",
"Reginaldo",
""
]
] |
In this work we obtain classical solutions of the bosonic sector of the supermembrane theory with two-form fluxes associated to a quantized constant $C_{\pm}$ background. This theory satisfies a flux condition on the worldvolume that induces monopoles over it. Classically it is stable as it does not contain string-like spikes with zero energy in distinction with the general case. At quantum level the bosonic membrane has a purely discrete spectrum but the relevance is that the same property holds for its supersymmetric spectrum. We find for this theory spinning membrane solutions, some of them including the presence of a non-vanishing symplectic gauge connection defined on its worldvolume in different approximations. By using the duality found between this theory and the so-called supermembrane with central charges, rotating membrane solutions found in that case, are also solutions of the M2-brane with $C_{\pm}$ fluxes. We generalize this result to other embeddings. We find new distinctive rotating membrane solutions, some of them including the presence of a non-vanishing symplectic gauge connection defined on its worldvolume. We obtain numerical and analytical solutions in different approximations characterizing the dynamics of the membrane with fluxes $C_{\pm}$ for different ans\"atze of the dynamical degrees of freedom. Finally we discuss the physical admissibility of some of these ans\"atze to model the components of the symplectic gauge field.
|
0708.4305
|
Jonas Schmidt
|
Jonas Schmidt
|
Gauge-Higgs Unification from the Heterotic String
|
Talk given at 13th International Symposium on Particles, Strings and
Cosmology (PASCOS 07), London, England, 2-7 Jul 2007
|
AIPConf.Proc.957:349-352,2007
|
10.1063/1.2823799
|
DESY 07-136
|
hep-th
| null |
We present a 6D orbifold model on $T^2/\Z2$ which emerges as intermediate
step in the compactification of the heterotic string to the supersymmetric
standard model in four dimensions. It has $\SU6$ gauge symmetry in the bulk and
two pairs of inequivalent fixed points with unbroken $\SU5$ and $\SU2 \times
\SU4$ symmetry, respectively. All anomalies are cancelled by the Green-Schwarz
mechanism. Two quark-lepton generations are located at the $\SU5$ branes, the
third family is composed of split bulk hypermultiplets. The model has vacua
with partial or full gauge-Higgs unification and non-vanishing Yukawa couplings
which generically avoid the unsuccessful $\SU5$ mass relations.
|
[
{
"created": "Fri, 31 Aug 2007 09:45:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Schmidt",
"Jonas",
""
]
] |
We present a 6D orbifold model on $T^2/\Z2$ which emerges as intermediate step in the compactification of the heterotic string to the supersymmetric standard model in four dimensions. It has $\SU6$ gauge symmetry in the bulk and two pairs of inequivalent fixed points with unbroken $\SU5$ and $\SU2 \times \SU4$ symmetry, respectively. All anomalies are cancelled by the Green-Schwarz mechanism. Two quark-lepton generations are located at the $\SU5$ branes, the third family is composed of split bulk hypermultiplets. The model has vacua with partial or full gauge-Higgs unification and non-vanishing Yukawa couplings which generically avoid the unsuccessful $\SU5$ mass relations.
|
hep-th/0303186
|
Vladimir Alexandrovich Krykhtin
|
S. Bellucci, I.L. Buchbinder, V.A. Krykhtin
|
Renormalization of the energy-momentum tensor in noncommutative scalar
field theory
|
21 pages, pictures using axodraw
|
Nucl.Phys. B665 (2003) 402-424
|
10.1016/S0550-3213(03)00463-2
| null |
hep-th
| null |
We consider the one-loop renormalization of dimension four composite
operators and the energy-momentum tensor in noncommutative \phi^4 scalar field
theory. Proper operator bases are constructed and it is proved that the bare
composite operators are expressed via renormalized ones, with the help of a
mixing matrix, whose explicit form is calculated. The corresponding matrix
elements turn out to differ from the commutative theory. The canonically
defined energy-momentum tensor is not finite and must be replaced by the
"improved" one, in order to provide finiteness. The suitable "improving" terms
are found.
|
[
{
"created": "Fri, 21 Mar 2003 07:56:20 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bellucci",
"S.",
""
],
[
"Buchbinder",
"I. L.",
""
],
[
"Krykhtin",
"V. A.",
""
]
] |
We consider the one-loop renormalization of dimension four composite operators and the energy-momentum tensor in noncommutative \phi^4 scalar field theory. Proper operator bases are constructed and it is proved that the bare composite operators are expressed via renormalized ones, with the help of a mixing matrix, whose explicit form is calculated. The corresponding matrix elements turn out to differ from the commutative theory. The canonically defined energy-momentum tensor is not finite and must be replaced by the "improved" one, in order to provide finiteness. The suitable "improving" terms are found.
|
1301.1231
|
Masoumeh Ghasemkhani
|
Masoumeh Ghasemkhani
|
Study of the photon's pole structure in the noncommutative Schwinger
model
| null |
Eur. Phys. J. C (2014) 74: 2921
|
10.1140/epjc/s10052-014-2921-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The photon self-energy of the noncommutative Schwinger model at two- and
three-loop order is analyzed. It is shown that the mass spectrum of the model
does not receive any correction from noncommutativity parameter ($\theta$) at
these orders. Also it remains unchanged to all orders. The exact one-loop
effective action for the photon is also calculated.
|
[
{
"created": "Mon, 7 Jan 2013 15:39:42 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2014 15:04:36 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Jul 2014 19:22:37 GMT",
"version": "v3"
}
] |
2014-07-15
|
[
[
"Ghasemkhani",
"Masoumeh",
""
]
] |
The photon self-energy of the noncommutative Schwinger model at two- and three-loop order is analyzed. It is shown that the mass spectrum of the model does not receive any correction from noncommutativity parameter ($\theta$) at these orders. Also it remains unchanged to all orders. The exact one-loop effective action for the photon is also calculated.
|
1702.06348
|
Tajron Juri\'c dr. sc.
|
Tajron Juri\'c, Timoth\'e Poulain, Jean-Christophe Wallet
|
Involutive representations of coordinate algebras and quantum spaces
|
29 pages, several paragraphs added, published in JHEP
|
JHEP 07 (2017) 116
|
10.1007/JHEP07(2017)116
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that $\frak{su}(2)$ Lie algebras of coordinate operators related to
quantum spaces with $\frak{su}(2)$ noncommutativity can be conveniently
represented by $SO(3)$-covariant poly-differential involutive representations.
We show that the quantized plane waves obtained from the quantization map
action on the usual exponential functions are determined by polar decomposition
of operators combined with constraint stemming from the Wigner theorem for
$SU(2)$. Selecting a subfamily of $^*$-representations, we show that the
resulting star-product is equivalent to the Kontsevich product for the Poisson
manifold dual to the finite dimensional Lie algebra $\mathfrak{su}(2)$. We
discuss the results, indicating a way to extend the construction to any
semi-simple non simply connected Lie group and present noncommutative scalar
field theories which are free from perturbative UV/IR mixing.
|
[
{
"created": "Tue, 21 Feb 2017 12:18:14 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Aug 2017 12:37:14 GMT",
"version": "v2"
}
] |
2017-08-22
|
[
[
"Jurić",
"Tajron",
""
],
[
"Poulain",
"Timothé",
""
],
[
"Wallet",
"Jean-Christophe",
""
]
] |
We show that $\frak{su}(2)$ Lie algebras of coordinate operators related to quantum spaces with $\frak{su}(2)$ noncommutativity can be conveniently represented by $SO(3)$-covariant poly-differential involutive representations. We show that the quantized plane waves obtained from the quantization map action on the usual exponential functions are determined by polar decomposition of operators combined with constraint stemming from the Wigner theorem for $SU(2)$. Selecting a subfamily of $^*$-representations, we show that the resulting star-product is equivalent to the Kontsevich product for the Poisson manifold dual to the finite dimensional Lie algebra $\mathfrak{su}(2)$. We discuss the results, indicating a way to extend the construction to any semi-simple non simply connected Lie group and present noncommutative scalar field theories which are free from perturbative UV/IR mixing.
|
0909.0919
|
Sean Stotyn
|
Sean Stotyn and Robert Mann
|
Phase Transitions Between Solitons and Black Holes in Asymptotically
AdS/$Z_k$ Spaces
|
7 pages, 1 figure
|
Phys. Lett. B 681 (2009) 472
|
10.1016/j.physletb.2009.10.041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We employ a thermodynamic analysis to determine the phase structure of
Eguchi-Hanson solitons, Schwarzschild-AdS/$\mathbb{Z}_k$ black holes and
thermal AdS/$\mathbb{Z}_k$. The Euclidean actions are calculated by two equable
means: the first uses the Eguchi-Hanson soliton as the thermal background while
the second makes use of minimal boundary counterterms in the action necessary
to render individual actions finite. The Euclidean actions are then utilised to
determine the phase structure in arbitrary odd dimension; it is found that
there is a Hawking-Page phase transition and also a phase transition between
the black hole and soliton. There is found to be no smooth phase transition
governed by an order parameter between AdS/$\mathbb{Z}_k$ and the soliton but
nevertheless AdS/$\mathbb{Z}_k$ changes phase by tunneling to the lower energy
soliton configuration.
|
[
{
"created": "Fri, 4 Sep 2009 16:57:30 GMT",
"version": "v1"
}
] |
2009-11-17
|
[
[
"Stotyn",
"Sean",
""
],
[
"Mann",
"Robert",
""
]
] |
We employ a thermodynamic analysis to determine the phase structure of Eguchi-Hanson solitons, Schwarzschild-AdS/$\mathbb{Z}_k$ black holes and thermal AdS/$\mathbb{Z}_k$. The Euclidean actions are calculated by two equable means: the first uses the Eguchi-Hanson soliton as the thermal background while the second makes use of minimal boundary counterterms in the action necessary to render individual actions finite. The Euclidean actions are then utilised to determine the phase structure in arbitrary odd dimension; it is found that there is a Hawking-Page phase transition and also a phase transition between the black hole and soliton. There is found to be no smooth phase transition governed by an order parameter between AdS/$\mathbb{Z}_k$ and the soliton but nevertheless AdS/$\mathbb{Z}_k$ changes phase by tunneling to the lower energy soliton configuration.
|
hep-th/0206102
|
Akira Ishida
|
Akira Ishida and Shozo Uehara
|
Gauge Fields on Tachyon Matter
|
6 pages, (v2)minor corrections (v3)some modifications, comments and a
reference added (v4)some equations refined, to appear in Phys. Lett. B
|
Phys.Lett. B544 (2002) 353-356
|
10.1016/S0370-2693(02)02542-X
|
DPNU-02-17
|
hep-th
| null |
We study the rolling tachyon including the gauge fields in boundary string
field theory. We show that there are no plane wave solutions for the gauge
fields for large time. The disappearance of the plane wave solutions indicates
that there are no excitations of the gauge fields on the tachyon matter, which
is consistent with the Sen's conjecture.
|
[
{
"created": "Wed, 12 Jun 2002 11:50:11 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2002 08:32:54 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jul 2002 11:47:45 GMT",
"version": "v3"
},
{
"created": "Thu, 15 Aug 2002 09:03:24 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Ishida",
"Akira",
""
],
[
"Uehara",
"Shozo",
""
]
] |
We study the rolling tachyon including the gauge fields in boundary string field theory. We show that there are no plane wave solutions for the gauge fields for large time. The disappearance of the plane wave solutions indicates that there are no excitations of the gauge fields on the tachyon matter, which is consistent with the Sen's conjecture.
|
1412.0033
|
Alex Soto V
|
Gonzalo A. Palma and Alex Soto
|
B-modes and the sound speed of primordial fluctuations
|
11 pages, 7 figures, v2 version accepted in PRD
|
Phys.Rev. D91 (2015) 063525
|
10.1103/PhysRevD.91.063525
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently shown that a large value of the tensor to scalar ratio $r$
implies a constraint on the minimum value of the sound speed $c_s$ of
primordial curvature perturbations during inflation that is stronger than
current bounds coming from non-Gaussianity measurements. Here we consider
additional aspects related to the measurement of B-modes that may provide
additional leverage to constrain the sound speed parametrizing non-canonical
models of inflation. We find that a confirmation of the consistency relation $r
= -8 n_t$ between the tensor to scalar ratio $r$ and the tensor spectral index
$n_t$ is not enough to rule out non-canonical models of inflation with a sound
speed $c_s$ different from unity. To determine whether inflation was canonical
or not, one requires knowledge of additional parameters, such as the running of
the spectral index of scalar perturbations $\alpha$. We also study how other
parameters related to the ultra violet completion of inflation modify the
dependence of $r$ on $c_s$. For instance, we find that heavy degrees of freedom
interacting with curvature fluctuations generically tend to make the constraint
on the sound speed stronger. Our results, combined with future observations of
primordial B-modes, may help to constrain the background evolution of
non-canonical models of inflation.
|
[
{
"created": "Fri, 28 Nov 2014 21:36:41 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 2015 16:01:40 GMT",
"version": "v2"
}
] |
2015-07-06
|
[
[
"Palma",
"Gonzalo A.",
""
],
[
"Soto",
"Alex",
""
]
] |
It was recently shown that a large value of the tensor to scalar ratio $r$ implies a constraint on the minimum value of the sound speed $c_s$ of primordial curvature perturbations during inflation that is stronger than current bounds coming from non-Gaussianity measurements. Here we consider additional aspects related to the measurement of B-modes that may provide additional leverage to constrain the sound speed parametrizing non-canonical models of inflation. We find that a confirmation of the consistency relation $r = -8 n_t$ between the tensor to scalar ratio $r$ and the tensor spectral index $n_t$ is not enough to rule out non-canonical models of inflation with a sound speed $c_s$ different from unity. To determine whether inflation was canonical or not, one requires knowledge of additional parameters, such as the running of the spectral index of scalar perturbations $\alpha$. We also study how other parameters related to the ultra violet completion of inflation modify the dependence of $r$ on $c_s$. For instance, we find that heavy degrees of freedom interacting with curvature fluctuations generically tend to make the constraint on the sound speed stronger. Our results, combined with future observations of primordial B-modes, may help to constrain the background evolution of non-canonical models of inflation.
|
hep-th/0211198
|
Volovich Anastasia
|
Yang-Hui He, John H. Schwarz, Marcus Spradlin, Anastasia Volovich
|
Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
|
28 pages, 2 figures, v2: reference added, new comments and appendix,
typos fixed in eqs. (86) and (89)
|
Phys.Rev. D67 (2003) 086005
|
10.1103/PhysRevD.67.086005
|
CALT-68-2413, NSF-KITP-02-162, PUPT-2058, UPR-1021-T
|
hep-th
| null |
We obtain explicit formulas for the Neumann coefficients and associated
quantities that appear in the three-string vertex for type IIB string theory in
a plane-wave background, for any value of the mass parameter mu. The derivation
involves constructing the inverse of a certain infinite-dimensional matrix, in
terms of which the Neumann coefficients previously had been written only
implicitly. We derive asymptotic expansions for large mu and find unexpectedly
simple results, which are valid to all orders in 1/mu. Using BMN duality, these
give predictions for certain gauge theory quantities to all orders in the
modified 't Hooft coupling lambda'. A specific example is presented.
|
[
{
"created": "Thu, 21 Nov 2002 17:11:15 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Dec 2002 23:59:23 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"He",
"Yang-Hui",
""
],
[
"Schwarz",
"John H.",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter mu. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large mu and find unexpectedly simple results, which are valid to all orders in 1/mu. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified 't Hooft coupling lambda'. A specific example is presented.
|
2009.03893
|
Sayantan Choudhury
|
Parth Bhargava, Sayantan Choudhury, Satyaki Chowdhury, Anurag Mishara,
Sachin Panneer Selvam, Sudhakar Panda, Gabriel D. Pasquino
|
Quantum aspects of chaos and complexity from bouncing cosmology: A study
with two-mode single field squeezed state formalism
|
104 pages, 41 figures, 9 tables, This project is the part of the
non-profit virtual international research consortium "Quantum Aspects of
Space-Time and Matter (QASTM)", Accepted for publication in SciPost Physics
Core
|
SciPost Phys. Core 4, 026 (2021)
|
10.21468/SciPostPhysCore.4.4.026
| null |
hep-th cond-mat.dis-nn gr-qc nlin.CD quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
$Circuit~ Complexity$, a well known computational technique has recently
become the backbone of the physics community to probe the chaotic behaviour and
random quantum fluctuations of quantum fields. This paper is devoted to the
study of out-of-equilibrium aspects and quantum chaos appearing in the universe
from the paradigm of two well known bouncing cosmological solutions viz.
$Cosine~ hyperbolic$ and $Exponential$ models of scale factors. Besides
$circuit~ complexity$, we use the $Out-of-Time~ Ordered~ correlation~ (OTOC)$
functions for probing the random behaviour of the universe both at early and
the late times. In particular, we use the techniques of well known two-mode
squeezed state formalism in cosmological perturbation theory as a key
ingredient for the purpose of our computation. To give an appropriate
theoretical interpretation that is consistent with the observational
perspective we use the scale factor and the number of e-foldings as a dynamical
variable instead of conformal time for this computation. From this study, we
found that the period of post bounce is the most interesting one. Though it may
not be immediately visible, but an exponential rise can be seen in the
$complexity$ once the post bounce feature is extrapolated to the present time
scales. We also find within the very small acceptable error range a universal
connecting relation between Complexity computed from two different kinds of
cost functionals-$linearly~ weighted$ and $geodesic~ weighted$ with the OTOC.
Furthermore, from the $complexity$ computation obtained from both the
cosmological models and also using the well known MSS bound on quantum Lyapunov
exponent, $\lambda\leq 2\pi/\beta$ for the saturation of chaos, we estimate the
lower bound on the equilibrium temperature of our universe at late time scale.
Finally, we provide a rough estimation of the scrambling time in terms of the
conformal time.
|
[
{
"created": "Tue, 8 Sep 2020 16:10:52 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2020 13:37:16 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Sep 2020 11:53:17 GMT",
"version": "v3"
},
{
"created": "Sun, 15 Aug 2021 08:52:10 GMT",
"version": "v4"
},
{
"created": "Wed, 15 Sep 2021 08:20:06 GMT",
"version": "v5"
}
] |
2021-10-08
|
[
[
"Bhargava",
"Parth",
""
],
[
"Choudhury",
"Sayantan",
""
],
[
"Chowdhury",
"Satyaki",
""
],
[
"Mishara",
"Anurag",
""
],
[
"Selvam",
"Sachin Panneer",
""
],
[
"Panda",
"Sudhakar",
""
],
[
"Pasquino",
"Gabriel D.",
""
]
] |
$Circuit~ Complexity$, a well known computational technique has recently become the backbone of the physics community to probe the chaotic behaviour and random quantum fluctuations of quantum fields. This paper is devoted to the study of out-of-equilibrium aspects and quantum chaos appearing in the universe from the paradigm of two well known bouncing cosmological solutions viz. $Cosine~ hyperbolic$ and $Exponential$ models of scale factors. Besides $circuit~ complexity$, we use the $Out-of-Time~ Ordered~ correlation~ (OTOC)$ functions for probing the random behaviour of the universe both at early and the late times. In particular, we use the techniques of well known two-mode squeezed state formalism in cosmological perturbation theory as a key ingredient for the purpose of our computation. To give an appropriate theoretical interpretation that is consistent with the observational perspective we use the scale factor and the number of e-foldings as a dynamical variable instead of conformal time for this computation. From this study, we found that the period of post bounce is the most interesting one. Though it may not be immediately visible, but an exponential rise can be seen in the $complexity$ once the post bounce feature is extrapolated to the present time scales. We also find within the very small acceptable error range a universal connecting relation between Complexity computed from two different kinds of cost functionals-$linearly~ weighted$ and $geodesic~ weighted$ with the OTOC. Furthermore, from the $complexity$ computation obtained from both the cosmological models and also using the well known MSS bound on quantum Lyapunov exponent, $\lambda\leq 2\pi/\beta$ for the saturation of chaos, we estimate the lower bound on the equilibrium temperature of our universe at late time scale. Finally, we provide a rough estimation of the scrambling time in terms of the conformal time.
|
1805.09160
|
Bhabani Prasad Mandal Prof.
|
Krishnanand Kr. Mishra, Bhabani Prasad Mandal
|
Generalized quantum electrodynamics in the framework of Generalized BRST
transformation
|
13 Pages, No figs
| null |
10.1209/0295-5075/123/41002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Podolsky's electromagnetism which explains some of unresolved problems of
usual QED has been investigated in the framework of finite field dependent
(FFBRST) BRST transformation. In this generalized QED (GQED), BRST invariant
effective theories are written using generalized Lorenz gauge, $(1+\frac{\Box
}{m_p^2})\partial^\mu A_\mu=0$ and no mixing gauge condition $(1+\frac{\Box
}{m_p^2})^\frac{1}{2} \ \partial^\mu A_\mu=0$, it contains higher order
derivative terms. No Mixing gauge is free from UV divergences in the radiative
correction and easier to handle. We construct appropriate FFBRST transformation
to obtain generating functional in no mixing gauge from that of in Lorenz
gauge. We show that all these BRST invariant effective theories in GQED are
basically same and are inter-connected with appropriately constructed FFBRST
transformations.
|
[
{
"created": "Tue, 22 May 2018 10:34:26 GMT",
"version": "v1"
}
] |
2018-10-17
|
[
[
"Mishra",
"Krishnanand Kr.",
""
],
[
"Mandal",
"Bhabani Prasad",
""
]
] |
Podolsky's electromagnetism which explains some of unresolved problems of usual QED has been investigated in the framework of finite field dependent (FFBRST) BRST transformation. In this generalized QED (GQED), BRST invariant effective theories are written using generalized Lorenz gauge, $(1+\frac{\Box }{m_p^2})\partial^\mu A_\mu=0$ and no mixing gauge condition $(1+\frac{\Box }{m_p^2})^\frac{1}{2} \ \partial^\mu A_\mu=0$, it contains higher order derivative terms. No Mixing gauge is free from UV divergences in the radiative correction and easier to handle. We construct appropriate FFBRST transformation to obtain generating functional in no mixing gauge from that of in Lorenz gauge. We show that all these BRST invariant effective theories in GQED are basically same and are inter-connected with appropriately constructed FFBRST transformations.
|
hep-th/9806040
|
Jose M. Figueroa-O'Farrill
|
JM Figueroa-O'Farrill
|
Intersecting brane geometries
|
29 pages. (v2: Two new sections have been added. Paper is now more
than 50% longer. A guided tour of the eight-dimensional geometries is
presented along with the computational details. We have also included a
discussion of the possible generalised self-dualities afforded by these
geometries.)
|
J.Geom.Phys. 35 (2000) 99-125
|
10.1016/S0393-0440(00)00002-4
|
QMW-PH-98-24
|
hep-th math.DG math.MG
| null |
We present a survey of the calibrated geometries arising in the study of the
local singularity structure of supersymmetric fivebranes in M-theory. We pay
particular attention to the geometries of 4-planes in eight dimensions, for
which we present some new results as well as many details of the computations.
We also analyse the possible generalised self-dualities which these geometries
can afford.
|
[
{
"created": "Thu, 4 Jun 1998 19:08:08 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 1998 03:01:24 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Jun 1998 18:06:00 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Figueroa-O'Farrill",
"JM",
""
]
] |
We present a survey of the calibrated geometries arising in the study of the local singularity structure of supersymmetric fivebranes in M-theory. We pay particular attention to the geometries of 4-planes in eight dimensions, for which we present some new results as well as many details of the computations. We also analyse the possible generalised self-dualities which these geometries can afford.
|
hep-th/9910200
|
Makoto Sakamoto
|
Makoto Sakamoto and Hiroyuki Yamashita
|
A Simple Proof of the Non-Renormalization of the Chern-Simons Coupling
|
LaTex, 8 pages, no figures. to appear in Physics Letters B
|
Phys.Lett. B476 (2000) 427-430
|
10.1016/S0370-2693(00)00146-5
|
KOBE-TH-99-06
|
hep-th
| null |
We give a very simple proof that the renormalization of the Chern-Simons
coupling in the Wilsonian effective action is exhausted at one-loop. Our proof
can apply to arbitrary 2+1-dimensional abelian as well as nonabelian gauge
theories without a bare Chern-Simons coupling, including any non-renormalizable
interactions and non-minimal couplings. Our proof reveals that small (but not
large) gauge invariance is enough to ensure the absence of higher order
corrections.
|
[
{
"created": "Tue, 26 Oct 1999 08:13:12 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Oct 1999 08:04:30 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Feb 2000 06:02:28 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Sakamoto",
"Makoto",
""
],
[
"Yamashita",
"Hiroyuki",
""
]
] |
We give a very simple proof that the renormalization of the Chern-Simons coupling in the Wilsonian effective action is exhausted at one-loop. Our proof can apply to arbitrary 2+1-dimensional abelian as well as nonabelian gauge theories without a bare Chern-Simons coupling, including any non-renormalizable interactions and non-minimal couplings. Our proof reveals that small (but not large) gauge invariance is enough to ensure the absence of higher order corrections.
|
hep-th/0301011
|
Changhyun Ahn
|
Changhyun Ahn
|
Supersymmetric SO(N)/Sp(N) Gauge Theory from Matrix Model:Exact Mesonic
Vacua
|
16 pp; to appear in PLB
|
Phys.Lett. B560 (2003) 116-127
|
10.1016/S0370-2693(03)00329-0
| null |
hep-th
| null |
By performing the matrix integral over the tree level superpotential of N=1
supersymmetric SO(N)/Sp(N) gauge theories obtained from N=2 SQCD by adding the
mass term for the adjoint scalar field, the exact effective superpotential in
terms of meson field contains the nonperturbative ADS superpotential as well as
the classical tree level superpotential. By completing the meson matrix
integral with the help of saddle point equation, we find the free energy
contributions from matter part in terms of glueball field, the adjoint field
mass and quark mass. By extremizing the effective superpotential with respect
to the glueball field, we analyze the vacuum structure and describe the
behavior of two limiting cases:zero limit of quark mass and infinity limit of
adjoint field mass. We also study the magnetic theory.
|
[
{
"created": "Sat, 4 Jan 2003 09:30:27 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2003 01:18:09 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Ahn",
"Changhyun",
""
]
] |
By performing the matrix integral over the tree level superpotential of N=1 supersymmetric SO(N)/Sp(N) gauge theories obtained from N=2 SQCD by adding the mass term for the adjoint scalar field, the exact effective superpotential in terms of meson field contains the nonperturbative ADS superpotential as well as the classical tree level superpotential. By completing the meson matrix integral with the help of saddle point equation, we find the free energy contributions from matter part in terms of glueball field, the adjoint field mass and quark mass. By extremizing the effective superpotential with respect to the glueball field, we analyze the vacuum structure and describe the behavior of two limiting cases:zero limit of quark mass and infinity limit of adjoint field mass. We also study the magnetic theory.
|
1402.5658
|
Gabor Etesi
|
Gabor Etesi
|
Gravity as a four dimensional algebraic quantum field theory
|
LaTeX, 22 pp, no figures. The final, revised and published version
|
Adv. Theor. Math. Phys. 20, No. 5, 1049-1082 (2016)
|
10.4310/ATMP.2016.v20.n5.a3
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on a family of indefinite unitary representations of the diffeomorphism
group of an oriented smooth $4$-manifold, a manifestly covariant $4$
dimensional and non-perturbative algebraic quantum field theory formulation of
gravity is exhibited. More precisely among the bounded linear operators acting
on these representation spaces we identify algebraic curvature tensors hence a
net of local quantum observables can be constructed from $C^*$-algebras
generated by local curvature tensors and vector fields. This algebraic quantum
field theory is extracted from structures provided by an oriented smooth
$4$-manifold only hence possesses a diffeomorphism symmetry. In this way
classical general relativity exactly in $4$ dimensions naturally embeds into a
quantum framework.
Several Hilbert space representations of the theory are found. First a
"tautological representation" of the limiting global $C^*$-algebra is
constructed allowing to associate to any oriented smooth $4$-manifold a von
Neumann algebra in a canonical fashion. Secondly, influenced by the
Dougan--Mason approach to gravitational quasilocal energy-momentum, we
construct certain representations what we call "positive mass representations"
with unbroken diffeomorphism symmetry. Thirdly, we also obtain "classical
representaions" with spontaneously broken diffeomorphism symmetry corresponding
to the classical limit of the theory which turns out to be general relativity.
Finally we observe that the whole family of "positive mass representations"
comprise a $2$ dimensional conformal field theory in the sense of G. Segal.
|
[
{
"created": "Sun, 23 Feb 2014 19:52:40 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Feb 2014 16:22:39 GMT",
"version": "v2"
},
{
"created": "Thu, 8 May 2014 12:02:15 GMT",
"version": "v3"
},
{
"created": "Thu, 4 Sep 2014 13:22:24 GMT",
"version": "v4"
},
{
"created": "Tue, 2 Dec 2014 11:27:31 GMT",
"version": "v5"
},
{
"created": "Mon, 9 Mar 2015 15:11:51 GMT",
"version": "v6"
},
{
"created": "Tue, 17 Jan 2017 17:02:02 GMT",
"version": "v7"
}
] |
2017-01-18
|
[
[
"Etesi",
"Gabor",
""
]
] |
Based on a family of indefinite unitary representations of the diffeomorphism group of an oriented smooth $4$-manifold, a manifestly covariant $4$ dimensional and non-perturbative algebraic quantum field theory formulation of gravity is exhibited. More precisely among the bounded linear operators acting on these representation spaces we identify algebraic curvature tensors hence a net of local quantum observables can be constructed from $C^*$-algebras generated by local curvature tensors and vector fields. This algebraic quantum field theory is extracted from structures provided by an oriented smooth $4$-manifold only hence possesses a diffeomorphism symmetry. In this way classical general relativity exactly in $4$ dimensions naturally embeds into a quantum framework. Several Hilbert space representations of the theory are found. First a "tautological representation" of the limiting global $C^*$-algebra is constructed allowing to associate to any oriented smooth $4$-manifold a von Neumann algebra in a canonical fashion. Secondly, influenced by the Dougan--Mason approach to gravitational quasilocal energy-momentum, we construct certain representations what we call "positive mass representations" with unbroken diffeomorphism symmetry. Thirdly, we also obtain "classical representaions" with spontaneously broken diffeomorphism symmetry corresponding to the classical limit of the theory which turns out to be general relativity. Finally we observe that the whole family of "positive mass representations" comprise a $2$ dimensional conformal field theory in the sense of G. Segal.
|
hep-th/9202031
|
David Wiltshire
|
S. Mignemi & D.L. Wiltshire
|
Black Holes in Higher Derivative Gravity Theories
|
(58 pages, 10 figs not included, avail on request)
|
Phys.Rev.D46:1475-1506,1992
|
10.1103/PhysRevD.46.1475
| null |
hep-th
| null |
We study static spherically symmetric solutions of Einstein gravity plus an
action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in
arbitrary dimension, $D$. The global properties of all such solutions are
derived by studying the phase space of field equations in the equivalent theory
of gravity coupled to a scalar field, which is obtained by a field redefinition
and conformal transformation. The following uniqueness theorem is obtained:
provided that the coefficient of the $R^2$ term in the Lagrangian polynomial is
positive then the only static spherically symmetric asymptotically flat
solution with a regular horizon in these models is the Schwarzschild solution.
Other branches of solutions with regular horizons, which are asymptotically
anti-de Sitter, or de Sitter, are also found. An exact Schwarzschild-de Sitter
type solution is found to exist in the $R+aR^2$ if $D>4$. If terms of cubic or
higher order in $R$ are included in the action, then such solutions also exist
in four dimensions. The general Schwarzschild-de Sitter type solution for
arbitrary $D$ and $n$ is given. The fact that the Schwarzschild solution in
these models does not coincide with the exterior solution of physical bodies
such as stars has important physical implications which we discuss. As a
byproduct, we classify all static spherically symmetric solutions of
$D$-dimensional gravity coupled to a scalar field with a potential consisting
of a finite sum of exponential terms.
|
[
{
"created": "Sat, 8 Feb 1992 22:39:23 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 1992 20:00:11 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Mignemi",
"S.",
""
],
[
"Wiltshire",
"D. L.",
""
]
] |
We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by studying the phase space of field equations in the equivalent theory of gravity coupled to a scalar field, which is obtained by a field redefinition and conformal transformation. The following uniqueness theorem is obtained: provided that the coefficient of the $R^2$ term in the Lagrangian polynomial is positive then the only static spherically symmetric asymptotically flat solution with a regular horizon in these models is the Schwarzschild solution. Other branches of solutions with regular horizons, which are asymptotically anti-de Sitter, or de Sitter, are also found. An exact Schwarzschild-de Sitter type solution is found to exist in the $R+aR^2$ if $D>4$. If terms of cubic or higher order in $R$ are included in the action, then such solutions also exist in four dimensions. The general Schwarzschild-de Sitter type solution for arbitrary $D$ and $n$ is given. The fact that the Schwarzschild solution in these models does not coincide with the exterior solution of physical bodies such as stars has important physical implications which we discuss. As a byproduct, we classify all static spherically symmetric solutions of $D$-dimensional gravity coupled to a scalar field with a potential consisting of a finite sum of exponential terms.
|
hep-th/9406043
|
David Fairlie
|
D.B. Fairlie and J.Nuyts
|
A Fresh Look at Generalized Veneziano Amplitudes
|
18 pages, LaTeX ,DTP/94/19
|
Nucl.Phys. B433 (1995) 26-40
|
10.1016/0550-3213(94)00466-R
| null |
hep-th
| null |
The dual resonance model, which was a precursor of string theory was based
upon the idea that two-particle scattering amplitudes should be expressible
equivalently as a sum of contributions of an infinite number of $s$ channel
poles each corresponding to a finite number of particles with definite spin, or
as a similar sum of $t$ channel poles. The famous example of Veneziano
\cite{ven} satisfies all these requirements, and is additionally ghost free.We
recall other trajectories which provide solutions to the duality constraints,
e.g. the general Mobi\"us trajectories and the logarithmic trajectories, which
were thought to be lacking this last feature. We however demonstrate, partly
empirically, the existence of a regime within a particular deformation of the
Veneziano amplitude for logarithmic trajectories for which the amplitude
remains ghost free.
|
[
{
"created": "Wed, 8 Jun 1994 14:38:47 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Fairlie",
"D. B.",
""
],
[
"Nuyts",
"J.",
""
]
] |
The dual resonance model, which was a precursor of string theory was based upon the idea that two-particle scattering amplitudes should be expressible equivalently as a sum of contributions of an infinite number of $s$ channel poles each corresponding to a finite number of particles with definite spin, or as a similar sum of $t$ channel poles. The famous example of Veneziano \cite{ven} satisfies all these requirements, and is additionally ghost free.We recall other trajectories which provide solutions to the duality constraints, e.g. the general Mobi\"us trajectories and the logarithmic trajectories, which were thought to be lacking this last feature. We however demonstrate, partly empirically, the existence of a regime within a particular deformation of the Veneziano amplitude for logarithmic trajectories for which the amplitude remains ghost free.
|
hep-th/0501188
|
Il'ya Malakhov
|
Il.Malakhov, P.Silaev, K.Sveshnikov
|
On the numerical technique of Casimir energy calculation
|
7 pages, 3 figures. To appear in the Procedings of the 18th
International Workshop "High Energy Physics and Quantum Field Theory"
| null | null | null |
hep-th
| null |
A non-subtractive recipe of Casimir energy renormalization efficient in the
presence of logarithmically divergent terms is proposed. It is demonstrated
that it can be applied even in such cases, when energy levels can be obtained
only numerically whereas neither their asymptotical behavior, nor the
analytical form of the corresponding spectral equation can be studied. The
results of numerical calculations performed with this method are compared to
those obtained by means of explicit subtraction of divergent terms from energy.
|
[
{
"created": "Mon, 24 Jan 2005 13:31:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Malakhov",
"Il.",
""
],
[
"Silaev",
"P.",
""
],
[
"Sveshnikov",
"K.",
""
]
] |
A non-subtractive recipe of Casimir energy renormalization efficient in the presence of logarithmically divergent terms is proposed. It is demonstrated that it can be applied even in such cases, when energy levels can be obtained only numerically whereas neither their asymptotical behavior, nor the analytical form of the corresponding spectral equation can be studied. The results of numerical calculations performed with this method are compared to those obtained by means of explicit subtraction of divergent terms from energy.
|
hep-th/0701111
|
Robert Brandenberger
|
Robert H. Brandenberger
|
Conceptual Problems of Inflationary Cosmology and a New Approach to
Cosmological Structure Formation
|
33 pages, 4 figures Based on an invited talk at "Inflation + 25",
Paris, June 2006 To be published in the proceedings (Springer, 2007)
|
Lect.NotesPhys.738:393-424,2008
|
10.1007/978-3-540-74353-8_11
| null |
hep-th astro-ph gr-qc hep-ph
| null |
In spite of its great phenomenological success, current models of scalar
field-driven inflation suffer from important unresolved conceptual issues. New
fundamental physics will be required to address these questions. String theory
is a candidate for a unified quantum theory of all four forces of nature. As
will be shown, string theory may lead to a cosmological background quite
different from an inflationary cosmology, and may admit a new stringy mechanism
for the origin of a roughly scale-invariant spectrum of cosmological
fluctuations.
|
[
{
"created": "Thu, 11 Jan 2007 21:24:34 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Brandenberger",
"Robert H.",
""
]
] |
In spite of its great phenomenological success, current models of scalar field-driven inflation suffer from important unresolved conceptual issues. New fundamental physics will be required to address these questions. String theory is a candidate for a unified quantum theory of all four forces of nature. As will be shown, string theory may lead to a cosmological background quite different from an inflationary cosmology, and may admit a new stringy mechanism for the origin of a roughly scale-invariant spectrum of cosmological fluctuations.
|
0901.2574
|
Norihiro Tanahashi
|
Keiju Murata, Tatsuma Nishioka and Norihiro Tanahashi
|
Warped AdS_5 Black Holes and Dual CFTs
|
19 pages, 7 figures;
|
Prog.Theor.Phys.121:941-957,2009
|
10.1143/PTP.121.941
|
KUNS-2184
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a black hole solution whose spatial boundary is a squashed three
sphere in Einstein gravity with negative cosmological constant. We solve the
Einstein equations numerically and find a warped AdS black hole solution with
arbitrary squashing parameter. This solution becomes the ordinary
AdS-Schwarzschild solution when the squashing parameter is chosen
appropriately. Motivated by this fact, we study N=4 super Yang-Mills theory
with zero coupling constant on a squashed three sphere and show that the
thermodynamical entropy of this theory roughly agrees with that of the warped
AdS black hole up to a factor of 3/4. We also study the
confinement/deconfinement transition of the gauge theory. We evaluate the
approximate Hawking-Page transition temperature of the warped AdS black hole
and find a qualitative agreement between the transition temperatures of the
gravity and the gauge theory. These results suggest a duality between the
warped AdS solution and N=4 super Yang-Mills theory on a squashed three sphere.
|
[
{
"created": "Mon, 19 Jan 2009 20:58:28 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jan 2009 13:58:59 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Apr 2009 08:38:59 GMT",
"version": "v3"
},
{
"created": "Sun, 26 Apr 2009 06:08:35 GMT",
"version": "v4"
}
] |
2009-08-11
|
[
[
"Murata",
"Keiju",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Tanahashi",
"Norihiro",
""
]
] |
We consider a black hole solution whose spatial boundary is a squashed three sphere in Einstein gravity with negative cosmological constant. We solve the Einstein equations numerically and find a warped AdS black hole solution with arbitrary squashing parameter. This solution becomes the ordinary AdS-Schwarzschild solution when the squashing parameter is chosen appropriately. Motivated by this fact, we study N=4 super Yang-Mills theory with zero coupling constant on a squashed three sphere and show that the thermodynamical entropy of this theory roughly agrees with that of the warped AdS black hole up to a factor of 3/4. We also study the confinement/deconfinement transition of the gauge theory. We evaluate the approximate Hawking-Page transition temperature of the warped AdS black hole and find a qualitative agreement between the transition temperatures of the gravity and the gauge theory. These results suggest a duality between the warped AdS solution and N=4 super Yang-Mills theory on a squashed three sphere.
|
1507.00306
|
Vaios Ziogas
|
Vaios Ziogas
|
Holographic mutual information in global Vaidya-BTZ spacetime
|
27 pages, 9 figures; v2: references added
|
JHEP09(2015)114
|
10.1007/JHEP09(2015)114
|
DCPT-15/45
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the evolution of the mutual information between two spatial
subsystems in a compact 1+1 dimensional CFT after a quantum quench. To this
end, we use the dual holographic process, given by the 2+1 dimensional
Vaidya-BTZ spacetime in global coordinates, which describes the collapse of a
spherically symmetric null shell. So, we first discuss the spacelike geodesic
structure of this geometry and then we present the various behaviors of the
holographic mutual information observed in this case. We also consider the
analogous process in the adiabatic limit and compare these two cases from a
geometrical point of view.
|
[
{
"created": "Wed, 1 Jul 2015 18:22:10 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2015 16:34:44 GMT",
"version": "v2"
}
] |
2015-09-24
|
[
[
"Ziogas",
"Vaios",
""
]
] |
We investigate the evolution of the mutual information between two spatial subsystems in a compact 1+1 dimensional CFT after a quantum quench. To this end, we use the dual holographic process, given by the 2+1 dimensional Vaidya-BTZ spacetime in global coordinates, which describes the collapse of a spherically symmetric null shell. So, we first discuss the spacelike geodesic structure of this geometry and then we present the various behaviors of the holographic mutual information observed in this case. We also consider the analogous process in the adiabatic limit and compare these two cases from a geometrical point of view.
|
2004.12948
|
Shruti Paranjape
|
Laura A. Johnson, Callum R. T. Jones, Shruti Paranjape
|
Constraints on a Massive Double-Copy and Applications to Massive Gravity
|
48 pages, 1 figure
| null |
10.1007/JHEP02(2021)148
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose and study a BCJ double-copy of massive particles, showing that it
is equivalent to a KLT formula with a kernel given by the inverse of a matrix
of massive bi-adjoint scalar amplitudes. For models with a uniform non-zero
mass spectrum we demonstrate that the resulting double-copy factors on physical
poles and that up to at least 5-particle scattering, color-kinematics
satisfying numerators always exist. For the scattering of 5 or more particles,
the procedure generically introduces spurious singularities that must be
cancelled by imposing additional constraints. When massive particles are
present, color-kinematics duality is not enough to guarantee a physical
double-copy. As an example, we apply the formalism to massive Yang-Mills and
show that up to 4-particle scattering the double-copy construction generates
physical amplitudes of a model of dRGT massive gravity coupled to a dilaton and
a two-form with dilaton parity violating couplings. We show that the spurious
singularities in the 5-particle double-copy do not cancel in this example, and
the construction fails to generate physically sensible amplitudes. We
conjecture sufficient constraints on the mass spectrum, which in addition to
massive BCJ relations, guarantee the absence of spurious singularities.
|
[
{
"created": "Mon, 27 Apr 2020 17:05:02 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jun 2020 02:29:22 GMT",
"version": "v2"
}
] |
2021-03-17
|
[
[
"Johnson",
"Laura A.",
""
],
[
"Jones",
"Callum R. T.",
""
],
[
"Paranjape",
"Shruti",
""
]
] |
We propose and study a BCJ double-copy of massive particles, showing that it is equivalent to a KLT formula with a kernel given by the inverse of a matrix of massive bi-adjoint scalar amplitudes. For models with a uniform non-zero mass spectrum we demonstrate that the resulting double-copy factors on physical poles and that up to at least 5-particle scattering, color-kinematics satisfying numerators always exist. For the scattering of 5 or more particles, the procedure generically introduces spurious singularities that must be cancelled by imposing additional constraints. When massive particles are present, color-kinematics duality is not enough to guarantee a physical double-copy. As an example, we apply the formalism to massive Yang-Mills and show that up to 4-particle scattering the double-copy construction generates physical amplitudes of a model of dRGT massive gravity coupled to a dilaton and a two-form with dilaton parity violating couplings. We show that the spurious singularities in the 5-particle double-copy do not cancel in this example, and the construction fails to generate physically sensible amplitudes. We conjecture sufficient constraints on the mass spectrum, which in addition to massive BCJ relations, guarantee the absence of spurious singularities.
|
1405.0791
|
Claude Bervillier
|
C. Bervillier
|
Structure of Exact Renormalization Group Equations for field theory
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that exact renormalization group (RG) equations (including
rescaling and field-renormalization) for respectively the scale-dependent full
action $S[\phi,t]$ and the scale-dependent full effective action
$\Gamma[\Phi,t]$ --in which $t$ is the "RG-time" defined as the logarithm of a
running momentum scale-- may be linked together by a Legendre transformation as
simple as $\Gamma[\Phi,t] -S[\phi,t] + \phi \cdot \Phi=0$, with $\Phi(x)
=\delta S[\phi] /\delta \phi(x) $ (resp. $\phi(x) =-\delta \Gamma [\Phi]/\delta
\Phi(x) $), where $\phi$ and $\Phi$ are dimensionless-renormalized quantities.
This result, in which any explicit reference to a "cutoff procedure" is absent,
makes sense in the framework of field theory. It may be compared to the
dimensional regularization of the perturbative field theory, in which the
running momentum scale is a pure scale of reference and not a momentum cutoff.
It is built from the Wilson historic first exact RG equation in which the
field-renormalization step is realized via an operator which is redundant and
exactly marginal at a fixed point, the properties of which are conserved by the
Legendre transformation and which modifies the usual removal of the overall UV
cutoff $\Lambda_{0}$ by associating it with the removal of an overall IR cutoff
$\mu $. Because the final equations do not refer to any true cutoff (even for
the scale-dependent $\Gamma $), it reinforces the idea that one may get rid of
the achronistic procedure of "regularizing" the theory via an explicit "cutoff
function", procedure which is often seen as an inconvenience to treat modern
problems in field theory.
|
[
{
"created": "Mon, 5 May 2014 06:48:59 GMT",
"version": "v1"
}
] |
2014-05-06
|
[
[
"Bervillier",
"C.",
""
]
] |
It is shown that exact renormalization group (RG) equations (including rescaling and field-renormalization) for respectively the scale-dependent full action $S[\phi,t]$ and the scale-dependent full effective action $\Gamma[\Phi,t]$ --in which $t$ is the "RG-time" defined as the logarithm of a running momentum scale-- may be linked together by a Legendre transformation as simple as $\Gamma[\Phi,t] -S[\phi,t] + \phi \cdot \Phi=0$, with $\Phi(x) =\delta S[\phi] /\delta \phi(x) $ (resp. $\phi(x) =-\delta \Gamma [\Phi]/\delta \Phi(x) $), where $\phi$ and $\Phi$ are dimensionless-renormalized quantities. This result, in which any explicit reference to a "cutoff procedure" is absent, makes sense in the framework of field theory. It may be compared to the dimensional regularization of the perturbative field theory, in which the running momentum scale is a pure scale of reference and not a momentum cutoff. It is built from the Wilson historic first exact RG equation in which the field-renormalization step is realized via an operator which is redundant and exactly marginal at a fixed point, the properties of which are conserved by the Legendre transformation and which modifies the usual removal of the overall UV cutoff $\Lambda_{0}$ by associating it with the removal of an overall IR cutoff $\mu $. Because the final equations do not refer to any true cutoff (even for the scale-dependent $\Gamma $), it reinforces the idea that one may get rid of the achronistic procedure of "regularizing" the theory via an explicit "cutoff function", procedure which is often seen as an inconvenience to treat modern problems in field theory.
|
2208.14239
|
Aldo Vera
|
Carla Henr\'iquez-B\'aez, Marcela Lagos, Aldo Vera
|
Black holes and black strings in the Einstein $SU(N)$-non-linear sigma
model
|
18 pages, 5 figures, accepted for publication in Phys. Rev. D
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We construct analytical solutions describing black holes and black strings in
the Einstein $SU(N)$-non-linear sigma model in $(3+1)$ dimensions. This
construction is carried out using the maximal embbeding ansatz of $SU(2)$
together with the Euler parameterization of the $SU(N)$ group, in such a way
that the non-linear sigma model equations are automatically satisfied for
arbitrary values of the flavor number $N$ while the Einstein equations can be
solved analytically. In particular, we construct black holes with spherical and
flat horizons as well as black strings that present the geometry of a
three-dimensional charged Ba\~nados-Teitelboim-Zanelli black hole on the
transverse section of the string. These configurations are not trivial
embeddings of $SU(2)$ into $SU(N)$, which allow us to explicitly show the role
that the flavor number plays on the geometry and thermodynamics of the black
holes and black strings. Finally, we perform a thermal comparison between these
configurations.
|
[
{
"created": "Tue, 30 Aug 2022 13:06:50 GMT",
"version": "v1"
}
] |
2022-08-31
|
[
[
"Henríquez-Báez",
"Carla",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Vera",
"Aldo",
""
]
] |
We construct analytical solutions describing black holes and black strings in the Einstein $SU(N)$-non-linear sigma model in $(3+1)$ dimensions. This construction is carried out using the maximal embbeding ansatz of $SU(2)$ together with the Euler parameterization of the $SU(N)$ group, in such a way that the non-linear sigma model equations are automatically satisfied for arbitrary values of the flavor number $N$ while the Einstein equations can be solved analytically. In particular, we construct black holes with spherical and flat horizons as well as black strings that present the geometry of a three-dimensional charged Ba\~nados-Teitelboim-Zanelli black hole on the transverse section of the string. These configurations are not trivial embeddings of $SU(2)$ into $SU(N)$, which allow us to explicitly show the role that the flavor number plays on the geometry and thermodynamics of the black holes and black strings. Finally, we perform a thermal comparison between these configurations.
|
hep-th/9707162
|
Nofumi Kitsunezaki
|
Naofumi Kitsunezaki and Jun Nishimura (Nagoya Univ.)
|
Unitary IIB Matrix Model and the Dynamical Generation of the Space Time
|
30 pages, 1 Postscript figure, The final version accepted by NPB
|
Nucl.Phys. B526 (1998) 351-377
|
10.1016/S0550-3213(98)00404-0
|
DPNU-97-32
|
hep-th
| null |
We propose a unitary matrix model as a regularization of the IIB matrix model
of Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT). The fermionic part is incorporated
using the overlap formalism in order to avoid unwanted ``doublers'' while
preserving the global gauge invariance. This regularization, unlike the one
adopted by IKKT, has manifest U(1)^10 symmetry, which corresponds to the
ten-dimensional translational invariance of the space time. We calculate
one-loop effective action around some typical BPS-saturated configurations in
the weak coupling limit. We also discuss a possible scenario for the dynamical
generation of the four-dimensional space time through spontaneous breakdown of
the U(1)^10 symmetry in the double scaling limit.
|
[
{
"created": "Fri, 18 Jul 1997 08:37:42 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 1998 07:38:06 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Kitsunezaki",
"Naofumi",
"",
"Nagoya Univ."
],
[
"Nishimura",
"Jun",
"",
"Nagoya Univ."
]
] |
We propose a unitary matrix model as a regularization of the IIB matrix model of Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT). The fermionic part is incorporated using the overlap formalism in order to avoid unwanted ``doublers'' while preserving the global gauge invariance. This regularization, unlike the one adopted by IKKT, has manifest U(1)^10 symmetry, which corresponds to the ten-dimensional translational invariance of the space time. We calculate one-loop effective action around some typical BPS-saturated configurations in the weak coupling limit. We also discuss a possible scenario for the dynamical generation of the four-dimensional space time through spontaneous breakdown of the U(1)^10 symmetry in the double scaling limit.
|
hep-th/9304049
|
Vladimir Sadov
|
V. Sadov
|
The hamiltonian reduction of the BRST complex and N=2 SUSY
|
28 pages, 6 pictures available on request; in the revised version
some misprints are corrected
| null | null |
HUTP-93/A006
|
hep-th
| null |
We study the nonunitary representations of N=2 Super Virasoro algebra for the
rational central charges c<3. The resolutions for the irreducible
representations of N=2 SVir in terms of the "2-d gravity modules" are obtained
and their characters are computed. The correspondence between the N=2
nonunitary "minimal" models and the Virasoro minimal models coupled to 2-d
gravity is shown at the level of states. We also define the hamiltonian
reduction of the BRST complex of sl(N)/sl(N) coset to the BRST complex of the
W-gravity coupled to the W matter. The case of sl(2) is considered explicitly.
It leads to the presentation of N=2 Super Virasoro algebra by the Lie algebra
cohomology. Finally, we reveal the mechanism of the correspondence between
sl(2)/sl(2)$ coset and 2-d gravity.
|
[
{
"created": "Mon, 12 Apr 1993 22:50:48 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Apr 1993 16:16:23 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Sadov",
"V.",
""
]
] |
We study the nonunitary representations of N=2 Super Virasoro algebra for the rational central charges c<3. The resolutions for the irreducible representations of N=2 SVir in terms of the "2-d gravity modules" are obtained and their characters are computed. The correspondence between the N=2 nonunitary "minimal" models and the Virasoro minimal models coupled to 2-d gravity is shown at the level of states. We also define the hamiltonian reduction of the BRST complex of sl(N)/sl(N) coset to the BRST complex of the W-gravity coupled to the W matter. The case of sl(2) is considered explicitly. It leads to the presentation of N=2 Super Virasoro algebra by the Lie algebra cohomology. Finally, we reveal the mechanism of the correspondence between sl(2)/sl(2)$ coset and 2-d gravity.
|
2306.11502
|
Bruno Alexandre
|
Bruno Alexandre, Steffen Gielen and Jo\~ao Magueijo
|
Overall signature of the metric and the cosmological constant
|
8 pages, 3 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We consider a little known aspect of signature change, where the overall sign
of the metric is allowed to change, with physical implications. We show how, in
different formulations of general relativity, this type of classical signature
change across boundaries with a degenerate metric can be made consistent with a
change in sign (and value) of the cosmological constant $\Lambda$. In
particular, the separate "mostly plus" and "mostly minus" signature sectors of
Lorentzian gravity are most naturally associated with different signs of
$\Lambda$. We show how this general phenomenon allows for classical solutions
where the open dS patch can arise from a portion of AdS space time. These can
be interpreted as classical "imaginary space" extensions of the usual
Lorentzian theory, with $a^2<0$.
|
[
{
"created": "Tue, 20 Jun 2023 12:46:27 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Oct 2023 15:57:19 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Oct 2023 12:37:19 GMT",
"version": "v3"
}
] |
2023-11-01
|
[
[
"Alexandre",
"Bruno",
""
],
[
"Gielen",
"Steffen",
""
],
[
"Magueijo",
"João",
""
]
] |
We consider a little known aspect of signature change, where the overall sign of the metric is allowed to change, with physical implications. We show how, in different formulations of general relativity, this type of classical signature change across boundaries with a degenerate metric can be made consistent with a change in sign (and value) of the cosmological constant $\Lambda$. In particular, the separate "mostly plus" and "mostly minus" signature sectors of Lorentzian gravity are most naturally associated with different signs of $\Lambda$. We show how this general phenomenon allows for classical solutions where the open dS patch can arise from a portion of AdS space time. These can be interpreted as classical "imaginary space" extensions of the usual Lorentzian theory, with $a^2<0$.
|
1502.01382
|
Nilanjan Sircar
|
Carlos Hoyos, Nilanjan Sircar and Jacob Sonnenschein
|
New knotted solutions of Maxwell's equations
|
version accepted for publication in J. Phys. A. minor changes:
references added, new figure added, typos corrected
|
J. Phys. A: Math. Theor. 48 (2015) 255204
|
10.1088/1751-8113/48/25/255204
|
TAUP-2292-15, FPAUO-15/03
|
hep-th math-ph math.MP physics.class-ph physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we have further developed the study of topologically non-trivial
solutions of vacuum electrodynamics. We have discovered a novel method of
generating such solutions by applying conformal transformations with complex
parameters on known solutions expressed in terms of Bateman's variables. This
has enabled us to get a wide class of solutions from the basic configuration
like constant electromagnetic fields and plane-waves. We have introduced a
covariant formulation of the Bateman's construction and discussed the conserved
charges associated with the conformal group as well as a set of four types of
conserved helicities. We have also given a formulation in terms of quaternions.
This led to a simple map between the electromagnetic knotted and linked
solutions into flat connections of $SU(2)$ gauge theory. We have computed the
corresponding CS charge in a class of solutions and it takes integer values.
|
[
{
"created": "Wed, 4 Feb 2015 22:30:02 GMT",
"version": "v1"
},
{
"created": "Sun, 3 May 2015 12:35:25 GMT",
"version": "v2"
}
] |
2015-06-09
|
[
[
"Hoyos",
"Carlos",
""
],
[
"Sircar",
"Nilanjan",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] |
In this note we have further developed the study of topologically non-trivial solutions of vacuum electrodynamics. We have discovered a novel method of generating such solutions by applying conformal transformations with complex parameters on known solutions expressed in terms of Bateman's variables. This has enabled us to get a wide class of solutions from the basic configuration like constant electromagnetic fields and plane-waves. We have introduced a covariant formulation of the Bateman's construction and discussed the conserved charges associated with the conformal group as well as a set of four types of conserved helicities. We have also given a formulation in terms of quaternions. This led to a simple map between the electromagnetic knotted and linked solutions into flat connections of $SU(2)$ gauge theory. We have computed the corresponding CS charge in a class of solutions and it takes integer values.
|
hep-th/9707011
|
Y. Lozano
|
Yolanda Lozano (Univ. of Utrecht)
|
Eleven Dimensions from the Massive D-2-brane
|
8 pgs, latex file
|
Phys.Lett. B414 (1997) 52-57
|
10.1016/S0370-2693(97)01143-X
|
THU-97/17
|
hep-th
| null |
We find an eleven dimensional description of the D-2-brane of the massive
type IIA theory as a first step towards an understanding of this theory in
eleven dimensions. By means of a world-volume IIA/M theory duality
transformation we show that the massive D-2-brane is equivalent to the
dimensional reduction of the eleven dimensional membrane coupled to an
auxiliary vector field. The role of this vector field is to preserve the
invariance under massive gauge transformations in the world-volume and has
non-trivial dynamics, governed by a Chern-Simons term proportional to $1/m$.
|
[
{
"created": "Tue, 1 Jul 1997 15:42:12 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Lozano",
"Yolanda",
"",
"Univ. of Utrecht"
]
] |
We find an eleven dimensional description of the D-2-brane of the massive type IIA theory as a first step towards an understanding of this theory in eleven dimensions. By means of a world-volume IIA/M theory duality transformation we show that the massive D-2-brane is equivalent to the dimensional reduction of the eleven dimensional membrane coupled to an auxiliary vector field. The role of this vector field is to preserve the invariance under massive gauge transformations in the world-volume and has non-trivial dynamics, governed by a Chern-Simons term proportional to $1/m$.
|
2301.06089
|
Francesco Toppan
|
N. Aizawa, R. Ito, Z. Kuznetsova and F. Toppan
|
New aspects of the Z$_{\textrm 2}$ $\times$ Z$_{\textrm 2}$-graded 1D
superspace: induced strings and 2D relativistic models
|
28 pages
|
Nucl. Phys. B 991 (2023) 116202
|
10.1016/j.nuclphysb.2023.116202
|
CBPF-NF-004/22
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A novel feature of the ${\mathbb Z}_2\times {\mathbb Z}_2$-graded
supersymmetry which finds no counterpart in ordinary supersymmetry is the
presence of $11$-graded exotic bosons (implied by the existence of two classes
of parafermions). Their interpretation, both physical and mathematical,
presents a challenge. The role of the "exotic bosonic coordinate" was not
considered by previous works on the one-dimensional ${\mathbb Z}_2\times
{\mathbb Z}_2$-graded superspace (which was restricted to produce
point-particle models). By treating this coordinate at par with the other
graded superspace coordinates new consequences are obtained. The graded
superspace calculus of the ${\mathbb Z}_2\times {\mathbb Z}_2$-graded worldline
super-Poincar\'e algebra induces two-dimensional ${\mathbb Z}_2\times {\mathbb
Z}_2$-graded relativistic models; they are invariant under a new ${\mathbb
Z}_2\times {\mathbb Z}_2$-graded $2D$ super-Poincar\'e algebra which differs
from the previous two ${\mathbb Z}_2\times {\mathbb Z}_2$-graded $2D$ versions
of super-Poincar\'e introduced in the literature. In this new superalgebra the
second translation generator and the Lorentz boost are $11$-graded.
Furthermore, if the exotic coordinate is compactified on a circle ${\bf S}^1$,
a ${\mathbb Z}_2\times {\mathbb Z}_2$-graded closed string with periodic
boundary conditions is derived. The analysis of the irreducibility conditions
of the $2D$ supermultiplet implies that a larger $(\beta$-deformed, where
$\beta\geq 0$ is a real parameter) class of point-particle models than the ones
discussed so far in the literature (recovered at $\beta=0$) is obtained. While
the spectrum of the $\beta=0$ point-particle models is degenerate (due to its
relation with an ${\cal N}=2$ supersymmetry), this is no longer the case for
the $\beta> 0$ models.
|
[
{
"created": "Sun, 15 Jan 2023 13:01:37 GMT",
"version": "v1"
}
] |
2023-04-27
|
[
[
"Aizawa",
"N.",
""
],
[
"Ito",
"R.",
""
],
[
"Kuznetsova",
"Z.",
""
],
[
"Toppan",
"F.",
""
]
] |
A novel feature of the ${\mathbb Z}_2\times {\mathbb Z}_2$-graded supersymmetry which finds no counterpart in ordinary supersymmetry is the presence of $11$-graded exotic bosons (implied by the existence of two classes of parafermions). Their interpretation, both physical and mathematical, presents a challenge. The role of the "exotic bosonic coordinate" was not considered by previous works on the one-dimensional ${\mathbb Z}_2\times {\mathbb Z}_2$-graded superspace (which was restricted to produce point-particle models). By treating this coordinate at par with the other graded superspace coordinates new consequences are obtained. The graded superspace calculus of the ${\mathbb Z}_2\times {\mathbb Z}_2$-graded worldline super-Poincar\'e algebra induces two-dimensional ${\mathbb Z}_2\times {\mathbb Z}_2$-graded relativistic models; they are invariant under a new ${\mathbb Z}_2\times {\mathbb Z}_2$-graded $2D$ super-Poincar\'e algebra which differs from the previous two ${\mathbb Z}_2\times {\mathbb Z}_2$-graded $2D$ versions of super-Poincar\'e introduced in the literature. In this new superalgebra the second translation generator and the Lorentz boost are $11$-graded. Furthermore, if the exotic coordinate is compactified on a circle ${\bf S}^1$, a ${\mathbb Z}_2\times {\mathbb Z}_2$-graded closed string with periodic boundary conditions is derived. The analysis of the irreducibility conditions of the $2D$ supermultiplet implies that a larger $(\beta$-deformed, where $\beta\geq 0$ is a real parameter) class of point-particle models than the ones discussed so far in the literature (recovered at $\beta=0$) is obtained. While the spectrum of the $\beta=0$ point-particle models is degenerate (due to its relation with an ${\cal N}=2$ supersymmetry), this is no longer the case for the $\beta> 0$ models.
|
hep-th/0005048
|
Shiraz Minwalla
|
Rajesh Gopakumar, Juan Maldacena, Shiraz Minwalla and Andrew
Strominger
|
S-Duality and Noncommutative Gauge Theory
|
18 pages, harvmac, 1 figure; v2 20 pages, some discussion added,
minor typos corrected, references added
|
JHEP 0006:036,2000
|
10.1088/1126-6708/2000/06/036
| null |
hep-th
| null |
It is conjectured that strongly coupled, spatially noncommutative
$\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled
open string theory in a near critical electric field, and that this dual theory
is fully decoupled from closed strings. Evidence for this conjecture is given
by the absence of physical closed string poles in the non-planar one-loop open
string diagram. The open string theory can be viewed as living in a geometry in
which space and time coordinates do not commute.
|
[
{
"created": "Thu, 4 May 2000 22:17:36 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2000 18:22:30 GMT",
"version": "v2"
}
] |
2017-09-07
|
[
[
"Gopakumar",
"Rajesh",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Strominger",
"Andrew",
""
]
] |
It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.
|
1103.2476
|
Gabriel Denicol
|
G. S. Denicol, H. Niemi, J. Noronha and D. H. Rischke
|
Microscopic Origin of the Shear Relaxation Time in Causal Dissipative
Fluid Dynamics
|
10 pages, to appear in the proceedings of Advances in Nuclear Physics
in Our Time (2010)
| null |
10.1142/9789814355766_0009
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we show how to compute the shear relaxation time from an
underlying microscopic theory. We prove that the shear relaxation time in
Israel-Stewart-type theories is given by the inverse of the pole of the
corresponding retarded Green's function, which is nearest to the origin in the
complex energy plane. Consequently, the relaxation time in such theories is a
microscopic, and not a macroscopic, i.e., fluid-dynamical time scale.
|
[
{
"created": "Sat, 12 Mar 2011 20:54:34 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Denicol",
"G. S.",
""
],
[
"Niemi",
"H.",
""
],
[
"Noronha",
"J.",
""
],
[
"Rischke",
"D. H.",
""
]
] |
In this paper we show how to compute the shear relaxation time from an underlying microscopic theory. We prove that the shear relaxation time in Israel-Stewart-type theories is given by the inverse of the pole of the corresponding retarded Green's function, which is nearest to the origin in the complex energy plane. Consequently, the relaxation time in such theories is a microscopic, and not a macroscopic, i.e., fluid-dynamical time scale.
|
2004.13857
|
Edgar Shaghoulian
|
Thomas Hartman, Edgar Shaghoulian, Andrew Strominger
|
Islands in Asymptotically Flat 2D Gravity
|
30 pages
| null |
10.1007/JHEP07(2020)022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large-N limit of asymptotically flat two-dimensional dilaton gravity
coupled to N free matter fields provides a useful toy model for semiclassical
black holes and the information paradox. Analyses of the asymptotic information
flux as given by the entanglement entropy show that it follows the Hawking
curve, indicating that information is destroyed in these models. Recently,
motivated by developments in AdS/CFT, a semiclassical island rule for entropy
has been proposed. We define and compute the island rule entropy for black hole
formation and evaporation in the large-N RST model of dilaton gravity and show
that, in contrast, it follows the unitary Page curve. The relation of these two
observations, and interesting properties of the dilaton gravity island rule,
are discussed.
|
[
{
"created": "Tue, 28 Apr 2020 21:27:42 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Hartman",
"Thomas",
""
],
[
"Shaghoulian",
"Edgar",
""
],
[
"Strominger",
"Andrew",
""
]
] |
The large-N limit of asymptotically flat two-dimensional dilaton gravity coupled to N free matter fields provides a useful toy model for semiclassical black holes and the information paradox. Analyses of the asymptotic information flux as given by the entanglement entropy show that it follows the Hawking curve, indicating that information is destroyed in these models. Recently, motivated by developments in AdS/CFT, a semiclassical island rule for entropy has been proposed. We define and compute the island rule entropy for black hole formation and evaporation in the large-N RST model of dilaton gravity and show that, in contrast, it follows the unitary Page curve. The relation of these two observations, and interesting properties of the dilaton gravity island rule, are discussed.
|
0710.1050
|
Jonas Bj\"ornsson
|
Jonas Bjornsson, Stephen Hwang
|
On the unitarity of gauged non-compact WZNW strings
|
45 pages, 14 figures v2: typos corrected and minor changes to the
text v3: typo corrected in eqs. (4.42), (4.43), (4.44) & (4.46), accepted for
publication in Nucl. Phys. B, v4: typos corrected
|
Nucl.Phys.B797:464-498,2008
|
10.1016/j.nuclphysb.2007.11.027
| null |
hep-th
| null |
In this paper we investigate the unitarity of gauged non-compact WZNW strings
i.e. string theories formulated as G/H' WZNW models, where G is a non-compact
group. These models represent string theories on non-trivial curved space-times
with one time-like component. We will prove that for the class of models
connected to Hermitian symmetric spaces, and a natural set of discrete highest
weight representations, the BRST formulation, in which the gauging is defined
through a BRST condition, yields unitarity. Unitarity requires the level times
the Dynkin index to be an integer, as well as integer valued highest weights
w.r.t. the compact subalgebra. We will also show that the BRST formulation is
not equivalent to the conventional GKO coset formulation, defined by imposing a
highest weight condition w.r.t. H'. The latter leads to non-unitary physical
string states.This is, to our knowledge, the first example of a fundamental
difference between the two formulations.
|
[
{
"created": "Thu, 4 Oct 2007 16:36:26 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2007 13:43:18 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jan 2008 15:53:26 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Mar 2008 12:10:32 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Bjornsson",
"Jonas",
""
],
[
"Hwang",
"Stephen",
""
]
] |
In this paper we investigate the unitarity of gauged non-compact WZNW strings i.e. string theories formulated as G/H' WZNW models, where G is a non-compact group. These models represent string theories on non-trivial curved space-times with one time-like component. We will prove that for the class of models connected to Hermitian symmetric spaces, and a natural set of discrete highest weight representations, the BRST formulation, in which the gauging is defined through a BRST condition, yields unitarity. Unitarity requires the level times the Dynkin index to be an integer, as well as integer valued highest weights w.r.t. the compact subalgebra. We will also show that the BRST formulation is not equivalent to the conventional GKO coset formulation, defined by imposing a highest weight condition w.r.t. H'. The latter leads to non-unitary physical string states.This is, to our knowledge, the first example of a fundamental difference between the two formulations.
|
hep-th/0406036
|
El Hassan Saidi
|
R.Abounasr, M.Ait Ben Haddou, A.El Rhalami, E.H.Saidi
|
Algebraic Geometry Realization of Quantum Hall Soliton
|
19 pages, 12 figures
|
J.Math.Phys. 46 (2005) 022302
|
10.1063/1.1834695
|
Lab/UFR-HEP-0404/GNPHE/0404
|
hep-th
| null |
Using Iqbal-Netzike-Vafa dictionary giving the correspondence between the
H$_{2}$ homology of del Pezzo surfaces and p-branes, we develop a new way to
approach system of brane bounds in M-theory on $\mathbb{S}^{1}$. We first
review the structure of ten dimensional quantum Hall soliton (QHS) from the
view of M-theory on $\mathbb{S}^{1}$. Then, we show how the D0 dissolution in
D2-brane is realized in M-theory language and derive the p-brane constraint eqs
used to define appropriately QHS. Finally, we build an algebraic geometry
realization of the QHS in type IIA superstring and show how to get its type IIB
dual. Others aspects are also discussed.
Keywords: Branes Physics, Algebraic Geometry, Homology of Curves in Del Pezzo
surfaces, Quantum Hall Solitons.
|
[
{
"created": "Thu, 3 Jun 2004 14:39:31 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Abounasr",
"R.",
""
],
[
"Haddou",
"M. Ait Ben",
""
],
[
"Rhalami",
"A. El",
""
],
[
"Saidi",
"E. H.",
""
]
] |
Using Iqbal-Netzike-Vafa dictionary giving the correspondence between the H$_{2}$ homology of del Pezzo surfaces and p-branes, we develop a new way to approach system of brane bounds in M-theory on $\mathbb{S}^{1}$. We first review the structure of ten dimensional quantum Hall soliton (QHS) from the view of M-theory on $\mathbb{S}^{1}$. Then, we show how the D0 dissolution in D2-brane is realized in M-theory language and derive the p-brane constraint eqs used to define appropriately QHS. Finally, we build an algebraic geometry realization of the QHS in type IIA superstring and show how to get its type IIB dual. Others aspects are also discussed. Keywords: Branes Physics, Algebraic Geometry, Homology of Curves in Del Pezzo surfaces, Quantum Hall Solitons.
|
hep-th/0404177
|
Scott Watson
|
Scott Watson
|
Moduli Stabilization with the String Higgs Effect
|
20 pages, references added, typos corrected
|
Phys.Rev. D70 (2004) 066005
|
10.1103/PhysRevD.70.066005
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We review the notion of the Higgs effect in the context of string theory. We
find that by including this effect in time dependent backgrounds, one is led to
a natural mechanism for stabilizing moduli at points of enhanced gauge
symmetry. We consider this mechanism for the case of the radion (size of the
extra dimensions) and find that as decompactification of the large spatial
dimensions takes place the radion will remain stabilized at the self dual
radius. We discuss how this mechanism can be incorporated into models of string
cosmology and brane inflation to resolve some outstanding problems. We also
address some issues regarding which string states should be included when
constructing low energy actions in string cosmology.
|
[
{
"created": "Fri, 23 Apr 2004 19:20:22 GMT",
"version": "v1"
},
{
"created": "Sun, 2 May 2004 21:27:02 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Watson",
"Scott",
""
]
] |
We review the notion of the Higgs effect in the context of string theory. We find that by including this effect in time dependent backgrounds, one is led to a natural mechanism for stabilizing moduli at points of enhanced gauge symmetry. We consider this mechanism for the case of the radion (size of the extra dimensions) and find that as decompactification of the large spatial dimensions takes place the radion will remain stabilized at the self dual radius. We discuss how this mechanism can be incorporated into models of string cosmology and brane inflation to resolve some outstanding problems. We also address some issues regarding which string states should be included when constructing low energy actions in string cosmology.
|
1011.3499
|
Sachin Jain
|
Sayan K. Chakrabarti, Shankhadeep Chakrabortty, Sachin Jain
|
Proof of universality of electrical conductivity at finite chemical
potential
|
23 pages, minor modification, Version published in JHEP
|
JHEP 1102:073,2011
|
10.1007/JHEP02(2011)073
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was proposed in arXiv:1008.2944 that, for certain gauge theories with
gravity duals, electrical conductivity at finite chemical potential is
universal. Here we provide a general proof that, when matter stress tensor
satisfies a compact constraint, electrical conductivity is universal. We
further elaborate our result with several conformal as well as non-conformal
gauge theories. We also discuss how boundary conductivity and universal
conductivity of stretched horizon are related.
|
[
{
"created": "Mon, 15 Nov 2010 20:36:03 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Feb 2011 17:12:53 GMT",
"version": "v2"
}
] |
2011-04-04
|
[
[
"Chakrabarti",
"Sayan K.",
""
],
[
"Chakrabortty",
"Shankhadeep",
""
],
[
"Jain",
"Sachin",
""
]
] |
It was proposed in arXiv:1008.2944 that, for certain gauge theories with gravity duals, electrical conductivity at finite chemical potential is universal. Here we provide a general proof that, when matter stress tensor satisfies a compact constraint, electrical conductivity is universal. We further elaborate our result with several conformal as well as non-conformal gauge theories. We also discuss how boundary conductivity and universal conductivity of stretched horizon are related.
|
hep-th/9611127
|
Zvi Bern
|
Z. Bern, L. Dixon, D.C. Dunbar and D.A. Kosower
|
One-Loop Self-Dual and N=4 Super Yang-Mills
|
14 pages, TeX, three figures, two new references added
|
Phys.Lett.B394:105-115,1997
|
10.1016/S0370-2693(96)01676-0
|
SLAC--PUB--7355
|
hep-th hep-ph
| null |
We conjecture a simple relationship between the one-loop maximally helicity
violating gluon amplitudes of ordinary QCD (all helicities identical) and those
of N=4 supersymmetric Yang-Mills (all but two helicities identical). Because
the amplitudes in self-dual Yang Mills have been shown to be the same as the
maximally helicity violating ones in QCD, this conjecture implies that they are
also related to the maximally helicity violating ones of N=4 supersymmetric
Yang-Mills. We have an explicit proof of the relation up to the six-point
amplitude; for amplitudes with more external legs, it remains a conjecture. A
similar conjecture relates amplitudes in self-dual gravity to maximally
helicity violating N=8 supergravity amplitudes.
|
[
{
"created": "Mon, 18 Nov 1996 00:27:10 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 1996 23:43:23 GMT",
"version": "v2"
}
] |
2009-07-09
|
[
[
"Bern",
"Z.",
""
],
[
"Dixon",
"L.",
""
],
[
"Dunbar",
"D. C.",
""
],
[
"Kosower",
"D. A.",
""
]
] |
We conjecture a simple relationship between the one-loop maximally helicity violating gluon amplitudes of ordinary QCD (all helicities identical) and those of N=4 supersymmetric Yang-Mills (all but two helicities identical). Because the amplitudes in self-dual Yang Mills have been shown to be the same as the maximally helicity violating ones in QCD, this conjecture implies that they are also related to the maximally helicity violating ones of N=4 supersymmetric Yang-Mills. We have an explicit proof of the relation up to the six-point amplitude; for amplitudes with more external legs, it remains a conjecture. A similar conjecture relates amplitudes in self-dual gravity to maximally helicity violating N=8 supergravity amplitudes.
|
2103.03282
|
George Tringas
|
Maxim Emelin, Fotis Farakos, George Tringas
|
Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds
|
38 pages
| null |
10.1140/epjc/s10052-021-09261-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the 3D N=1 superpotential for the closed string sector of type IIB
supergravity on toroidal O5 orientifolds with co-calibrated G2 structure and RR
background flux. We find that such compactifications can provide full closed
string moduli stabilization on supersymmetric AdS$_3$ vacua, and once we
include brane-supersymmetry-breaking we also find indication for the existence
of classical 3D de Sitter solutions. The latter however are rather difficult to
reconcile with the shape moduli stabilization and flux quantization. We also
discuss the possibility of achieving scale separation in AdS$_3$ and dS$_3$
vacua, but such effects seems to be hindered by the geometric flux
quantization.
|
[
{
"created": "Thu, 4 Mar 2021 19:32:50 GMT",
"version": "v1"
}
] |
2023-01-11
|
[
[
"Emelin",
"Maxim",
""
],
[
"Farakos",
"Fotis",
""
],
[
"Tringas",
"George",
""
]
] |
We derive the 3D N=1 superpotential for the closed string sector of type IIB supergravity on toroidal O5 orientifolds with co-calibrated G2 structure and RR background flux. We find that such compactifications can provide full closed string moduli stabilization on supersymmetric AdS$_3$ vacua, and once we include brane-supersymmetry-breaking we also find indication for the existence of classical 3D de Sitter solutions. The latter however are rather difficult to reconcile with the shape moduli stabilization and flux quantization. We also discuss the possibility of achieving scale separation in AdS$_3$ and dS$_3$ vacua, but such effects seems to be hindered by the geometric flux quantization.
|
2006.10061
|
Andreas Karch
|
Andreas Karch and Lisa Randall
|
Geometries with mismatched branes
|
39 pages, 9 figures; v2: minor typos fixed
| null |
10.1007/JHEP09(2020)166
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study Randall-Sundrum two brane setups with mismatched brane tensions. For
the vacuum solutions, boundary conditions demand that the induced metric on
each of the branes is either de Sitter, Anti-de Sitter, or Minkowski. For
incompatible boundary conditions, the bulk metric is necessarily
time-dependent. This introduces a new class of time-dependent solutions with
the potential to address cosmological issues and provide alternatives to
conventional inflationary (or contracting) scenarios. We take a first step in
this paper toward such solutions. One important finding is that the resulting
solutions can be very succinctly described in terms of an effective action
involving only the induced metric on either one of the branes and the radion
field. But the full geometry cannot necessarily be simply described with a
single coordinate patch. We concentrate here on the time-dependent solutions
but argue that supplemented with a brane stabilization mechanism one can
potentially construct interesting cosmological models this way. This is true
both with and without a brane stabilization mechanism.
|
[
{
"created": "Wed, 17 Jun 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Aug 2020 20:58:24 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Karch",
"Andreas",
""
],
[
"Randall",
"Lisa",
""
]
] |
We study Randall-Sundrum two brane setups with mismatched brane tensions. For the vacuum solutions, boundary conditions demand that the induced metric on each of the branes is either de Sitter, Anti-de Sitter, or Minkowski. For incompatible boundary conditions, the bulk metric is necessarily time-dependent. This introduces a new class of time-dependent solutions with the potential to address cosmological issues and provide alternatives to conventional inflationary (or contracting) scenarios. We take a first step in this paper toward such solutions. One important finding is that the resulting solutions can be very succinctly described in terms of an effective action involving only the induced metric on either one of the branes and the radion field. But the full geometry cannot necessarily be simply described with a single coordinate patch. We concentrate here on the time-dependent solutions but argue that supplemented with a brane stabilization mechanism one can potentially construct interesting cosmological models this way. This is true both with and without a brane stabilization mechanism.
|
1612.05896
|
Komeil Babaei Velni
|
Komeil Babaei Velni and Ali Jalali
|
On Chern-Simons Couplings at order $O(\alpha'^2)$
|
19 pages, 1 table. arXiv admin note: text overlap with
arXiv:1102.5510 by other authors
| null |
10.1103/PhysRevD.95.026004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the explicit string scattering calculation and the linear T-dual ward
identity, we evaluate the string theory disc amplitude of one Ramond-Ramond
field $C^{(p+1)}$ and two Neveu-Schwarz B-fields in the presence of a single
$D_p$-brane in type $IIB$ string theory. From this amplitude we extract the
$O(\alpha'^2)$ (or equivalently four-derivative) part of the $D_p$-brane
couplings involving these fields.
|
[
{
"created": "Sun, 18 Dec 2016 11:25:59 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Velni",
"Komeil Babaei",
""
],
[
"Jalali",
"Ali",
""
]
] |
Using the explicit string scattering calculation and the linear T-dual ward identity, we evaluate the string theory disc amplitude of one Ramond-Ramond field $C^{(p+1)}$ and two Neveu-Schwarz B-fields in the presence of a single $D_p$-brane in type $IIB$ string theory. From this amplitude we extract the $O(\alpha'^2)$ (or equivalently four-derivative) part of the $D_p$-brane couplings involving these fields.
|
2211.00963
|
Liu Zhao
|
Xiangqing Kong, Zhiqiang Zhang and Liu Zhao
|
Restricted phase space thermodynamics of charged AdS black holes in
conformal gravity
|
22 pages, 11 pdf figures
|
Chin. Phys. C 47 (2023) 095105
|
10.1088/1674-1137/ace9c2
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The thermodynamics of charged spherically symmetric AdS black holes in
conformal gravity is revisited using the recently proposed restricted phase
space (RPS) formalism. This formalism avoids all the bizarreness that arose in
the extended phase space formalism for this model. It is found that the charged
AdS black holes in this model may belong to a new universality class which is
different from all previously studied cases under the RPS formalism. Besides
the distinguished isocharge $T-S$ and isothermal $\Phi-Q_e$ behaviors, the
absence of Hawking-Page transition is another notable feature. On the other
hand, in the high temperature limit, the thermodynamic behavior of the present
model become exactly the same as that of the Einstein gravity and the black
hole scan models, which add further evidence for the universality of the
recently reported correspondence between high temperature AdS black holes and
low temperature quantum phonon gases in nonmetallic crystals.
|
[
{
"created": "Wed, 2 Nov 2022 09:02:04 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2023 01:29:48 GMT",
"version": "v2"
}
] |
2023-08-16
|
[
[
"Kong",
"Xiangqing",
""
],
[
"Zhang",
"Zhiqiang",
""
],
[
"Zhao",
"Liu",
""
]
] |
The thermodynamics of charged spherically symmetric AdS black holes in conformal gravity is revisited using the recently proposed restricted phase space (RPS) formalism. This formalism avoids all the bizarreness that arose in the extended phase space formalism for this model. It is found that the charged AdS black holes in this model may belong to a new universality class which is different from all previously studied cases under the RPS formalism. Besides the distinguished isocharge $T-S$ and isothermal $\Phi-Q_e$ behaviors, the absence of Hawking-Page transition is another notable feature. On the other hand, in the high temperature limit, the thermodynamic behavior of the present model become exactly the same as that of the Einstein gravity and the black hole scan models, which add further evidence for the universality of the recently reported correspondence between high temperature AdS black holes and low temperature quantum phonon gases in nonmetallic crystals.
|
hep-th/9603161
|
David R. Morrison
|
David R. Morrison and Cumrun Vafa
|
Compactifications of F-Theory on Calabi--Yau Threefolds -- II
|
latex with epsf, 33 pages + 4 figures. Minor corrections
|
Nucl.Phys.B476:437-469,1996
|
10.1016/0550-3213(96)00369-0
|
DUKE-TH-96-107, HUTP-96/A012
|
hep-th
| null |
We continue our study of compactifications of F-theory on Calabi--Yau
threefolds. We gain more insight into F-theory duals of heterotic strings and
provide a recipe for building F-theory duals for arbitrary heterotic
compactifications on elliptically fibered manifolds. As a byproduct we find
that string/string duality in six dimensions gets mapped to fiber/base exchange
in F-theory. We also construct a number of new $N=1$, $d=6$ examples of
F-theory vacua and study transitions among them. We find that some of these
transition points correspond upon further compactification to 4 dimensions to
transitions through analogues of Argyres--Douglas points of $N=2$ moduli. A key
idea in these transitions is the notion of classifying $(0,4)$ fivebranes of
heterotic strings.
|
[
{
"created": "Mon, 25 Mar 1996 07:05:30 GMT",
"version": "v1"
},
{
"created": "Fri, 31 May 1996 19:54:09 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Morrison",
"David R.",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on elliptically fibered manifolds. As a byproduct we find that string/string duality in six dimensions gets mapped to fiber/base exchange in F-theory. We also construct a number of new $N=1$, $d=6$ examples of F-theory vacua and study transitions among them. We find that some of these transition points correspond upon further compactification to 4 dimensions to transitions through analogues of Argyres--Douglas points of $N=2$ moduli. A key idea in these transitions is the notion of classifying $(0,4)$ fivebranes of heterotic strings.
|
1601.07031
|
Yong Cai
|
Yong Cai and Yun-Song Piao
|
The slow expansion with nonminimal derivative coupling and its conformal
dual
|
24 pages, 4 figures; published version in JHEP; details supplemented,
references and comments added, presentation improved
|
JHEP03(2016)134
|
10.1007/JHEP03(2016)134
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the primordial gravitational wave with scale-invariant spectrum
might emerge from a nearly Minkowski space, in which the gravity is
asymptotic-past free. We illustrate it with a model, in which the derivative of
background scalar field nonminimally couples to gravity. We also show that
since here the tensor perturbation is dominated by its growing mode,
mathematically our slowly expanding background is conformally dual to the
matter contraction, but there is no the anisotropy problem.
|
[
{
"created": "Tue, 26 Jan 2016 14:10:08 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2016 08:28:01 GMT",
"version": "v2"
}
] |
2016-03-24
|
[
[
"Cai",
"Yong",
""
],
[
"Piao",
"Yun-Song",
""
]
] |
We show that the primordial gravitational wave with scale-invariant spectrum might emerge from a nearly Minkowski space, in which the gravity is asymptotic-past free. We illustrate it with a model, in which the derivative of background scalar field nonminimally couples to gravity. We also show that since here the tensor perturbation is dominated by its growing mode, mathematically our slowly expanding background is conformally dual to the matter contraction, but there is no the anisotropy problem.
|
1003.2381
|
Kenichi Konishi
|
Kenichi Konishi
|
New Results on Non-Abelian Vortices - further insights into monopole,
vortex and confinement
|
Latex 20 pages
|
Int.J.Mod.Phys.A25:5025-5039,2010
|
10.1142/S0217751X10050834
|
IFUP-TH/2010-10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss some of the latest results concerning the non-Abelian vortices.
The first concerns the construction of non-Abelian BPS vortices based on
general gauge groups of the form G= G' x U(1). In particular detailed results
about the vortex moduli space have been obtained for G'=SO(N) or USp(2N). The
second result is about the "fractional vortices", i.e., vortices of the minimum
winding but having substructures in the tension (or flux) density in the
transverse plane. Thirdly, we discuss briefly the monopole-vortex complex.
|
[
{
"created": "Thu, 11 Mar 2010 18:16:46 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2010 16:41:28 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Konishi",
"Kenichi",
""
]
] |
We discuss some of the latest results concerning the non-Abelian vortices. The first concerns the construction of non-Abelian BPS vortices based on general gauge groups of the form G= G' x U(1). In particular detailed results about the vortex moduli space have been obtained for G'=SO(N) or USp(2N). The second result is about the "fractional vortices", i.e., vortices of the minimum winding but having substructures in the tension (or flux) density in the transverse plane. Thirdly, we discuss briefly the monopole-vortex complex.
|
hep-th/0507021
|
Radu Roiban
|
S.A. Frolov, R. Roiban and A.A. Tseytlin
|
Gauge-string duality for (non)supersymmetric deformations of N=4 Super
Yang-Mills theory
|
43 pages, Latex; v2:Discussion of 0-modes improved in section 2,
Appendix B expanded to demonstrate agreement between gauge and string theory
for 0-mode fluctuations; references added; v3: Modification to the discussion
on the U(1) factor in sec.4.4
|
Nucl.Phys.B731:1-44,2005
|
10.1016/j.nuclphysb.2005.10.004
| null |
hep-th
| null |
We consider a non-supersymmetric example of the AdS/CFT duality which
generalizes the supersymmetric exactly marginal deformation constructed in
hep-th/0502086. The string theory background we use was found in hep-th/0503201
from the AdS_5 x S5 by a combination of T-dualities and shifts of angular
coordinates. It depends on three real parameters gamma_i which determine the
shape of the deformed 5-sphere. The dual gauge theory has the same field
content as N=4 SYM theory, but with scalar and Yukawa interactions ``deformed''
by gamma_i-dependent phases. The special case of equal deformation parameters
gamma_i=gamma corresponds to the N=1 supersymmetric deformation. We compare the
energies of semiclassical strings with three large angular momenta to the
1-loop anomalous dimensions of the corresponding gauge-theory scalar operators
and find that they match as it was the case in the SU(3) sector of the standard
AdS/CFT duality. In the supersymmetric case of equal gamma_i this extends the
result of our previous work (hep-th/0503192) from the 2-spin to the 3-spin
sector. This extension turns out to be quite nontrivial. To match the
corresponding low-energy effective ``Landau-Lifshitz'' actions on the string
theory and the gauge theory sides one is to make a special choice of the spin
chain Hamiltonian representing the 1-loop gauge theory dilatation operator.
This choice is adapted to low-energy approximation, i.e. it allows one to
capture the right vacuum states and the macroscopic spin wave sector of states
of the spin chain in the continuum coherent state effective action.
|
[
{
"created": "Mon, 4 Jul 2005 18:15:24 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jul 2005 18:28:05 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Jul 2005 20:28:09 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Frolov",
"S. A.",
""
],
[
"Roiban",
"R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We consider a non-supersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string theory background we use was found in hep-th/0503201 from the AdS_5 x S5 by a combination of T-dualities and shifts of angular coordinates. It depends on three real parameters gamma_i which determine the shape of the deformed 5-sphere. The dual gauge theory has the same field content as N=4 SYM theory, but with scalar and Yukawa interactions ``deformed'' by gamma_i-dependent phases. The special case of equal deformation parameters gamma_i=gamma corresponds to the N=1 supersymmetric deformation. We compare the energies of semiclassical strings with three large angular momenta to the 1-loop anomalous dimensions of the corresponding gauge-theory scalar operators and find that they match as it was the case in the SU(3) sector of the standard AdS/CFT duality. In the supersymmetric case of equal gamma_i this extends the result of our previous work (hep-th/0503192) from the 2-spin to the 3-spin sector. This extension turns out to be quite nontrivial. To match the corresponding low-energy effective ``Landau-Lifshitz'' actions on the string theory and the gauge theory sides one is to make a special choice of the spin chain Hamiltonian representing the 1-loop gauge theory dilatation operator. This choice is adapted to low-energy approximation, i.e. it allows one to capture the right vacuum states and the macroscopic spin wave sector of states of the spin chain in the continuum coherent state effective action.
|
1106.0907
|
Mohammad Naghdi
|
M. Naghdi
|
A Monopole Instanton-Like Effect in the ABJM Model
|
15 pages, minor changes of some formulas, few typos fixed, and a
reference added
|
Int.J.Mod.Phys.A26:3259-3273,2011
|
10.1142/S0217751X11053833
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Making use of ansatzs for the form fields in the 10d type IIA supergravity
version of the ABJM model, we come with a solution in the Euclidean signature
recognized as a monopole instanton-like object. Indeed we will see that we can
have a (anti) self-dual solution at a special limit. While as a topological
object, its back-reaction on the original background should be ignorable, we
show the energy-momentum tensors vanish exactly. On the field theory side, the
best counterpart is an U(1) gauge field of a gauge transformation. To adjust
with bulk, the gauge field must prompt to a dynamic one without adding any
kinetic term for this dual photon except a marginal, abelian AB-type
Chern-Simons term on the boundary. We will see how both side solutions match
next to another confirmation from some earlier works of this vortex-particle
duality.
|
[
{
"created": "Sun, 5 Jun 2011 15:13:02 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2011 10:22:00 GMT",
"version": "v2"
}
] |
2011-08-05
|
[
[
"Naghdi",
"M.",
""
]
] |
Making use of ansatzs for the form fields in the 10d type IIA supergravity version of the ABJM model, we come with a solution in the Euclidean signature recognized as a monopole instanton-like object. Indeed we will see that we can have a (anti) self-dual solution at a special limit. While as a topological object, its back-reaction on the original background should be ignorable, we show the energy-momentum tensors vanish exactly. On the field theory side, the best counterpart is an U(1) gauge field of a gauge transformation. To adjust with bulk, the gauge field must prompt to a dynamic one without adding any kinetic term for this dual photon except a marginal, abelian AB-type Chern-Simons term on the boundary. We will see how both side solutions match next to another confirmation from some earlier works of this vortex-particle duality.
|
hep-th/0308175
|
Eva Silverstein
|
Eva Silverstein
|
AdS and dS Entropy from String Junctions
|
18 pages, harvmac big
| null | null |
SLAC-PUB-10142, SU-ITP-03/22, NSF-KITP-03-70
|
hep-th
| null |
Flux compactifications of string theory exhibiting the possibility of
discretely tuning the cosmological constant to small values have been
constructed. The highly tuned vacua in this discretuum have curvature radii
which scale as large powers of the flux quantum numbers, exponential in the
number of cycles in the compactification. By the arguments of Susskind/Witten
(in the AdS case) and Gibbons/Hawking (in the dS case), we expect
correspondingly large entropies associated with these vacua. If they are to
provide a dual description of these vacua on their Coulomb branch, branes
traded for the flux need to account for this entropy at the appropriate energy
scale. In this note, we argue that simple string junctions and webs ending on
the branes can account for this large entropy, obtaining a rough estimate for
junction entropy that agrees with the existing rough estimates for the spacing
of the discretuum. In particular, the brane entropy can account for the (A)dS
entropy far away from string scale correspondence limits.
|
[
{
"created": "Tue, 26 Aug 2003 19:23:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Silverstein",
"Eva",
""
]
] |
Flux compactifications of string theory exhibiting the possibility of discretely tuning the cosmological constant to small values have been constructed. The highly tuned vacua in this discretuum have curvature radii which scale as large powers of the flux quantum numbers, exponential in the number of cycles in the compactification. By the arguments of Susskind/Witten (in the AdS case) and Gibbons/Hawking (in the dS case), we expect correspondingly large entropies associated with these vacua. If they are to provide a dual description of these vacua on their Coulomb branch, branes traded for the flux need to account for this entropy at the appropriate energy scale. In this note, we argue that simple string junctions and webs ending on the branes can account for this large entropy, obtaining a rough estimate for junction entropy that agrees with the existing rough estimates for the spacing of the discretuum. In particular, the brane entropy can account for the (A)dS entropy far away from string scale correspondence limits.
|
hep-th/9306017
|
Mikhail Plyushchay
|
Mikhail S. Plyushchay and Alexander V. Razumov
|
Dirac versus reduced phase space quantization for systems admitting no
gauge conditions
|
36 pages, LaTeX; changes in the title, abstract and references and
throughout the main text; the version to appear in Inter. J. Mod. Phys. A
|
Int.J.Mod.Phys. A11 (1996) 1427-1462
|
10.1142/S0217751X96000663
| null |
hep-th
| null |
The constrained Hamiltonian systems admitting no gauge conditions are
considered. The methods to deal with such systems are discussed and developed.
As a concrete application, the relationship between the Dirac and reduced phase
space quantizations is investigated for spin models belonging to the class of
systems under consideration. It is traced out that the two quantization methods
may give similar, or essentially different physical results, and, moreover, a
class of constrained systems, which can be quantized only by the Dirac method,
is discussed. A possible interpretation of the gauge degrees of freedom is
given.
|
[
{
"created": "Thu, 3 Jun 1993 08:35:13 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 1995 00:03:09 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Plyushchay",
"Mikhail S.",
""
],
[
"Razumov",
"Alexander V.",
""
]
] |
The constrained Hamiltonian systems admitting no gauge conditions are considered. The methods to deal with such systems are discussed and developed. As a concrete application, the relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of systems under consideration. It is traced out that the two quantization methods may give similar, or essentially different physical results, and, moreover, a class of constrained systems, which can be quantized only by the Dirac method, is discussed. A possible interpretation of the gauge degrees of freedom is given.
|
hep-th/0506106
|
Juan Antonio Nieto
|
J. A. Nieto
|
Oriented Matroid Theory as a Mathematical Framework for M-Theory
|
12 pages, Latex; some improvements introduced, typos corrected
|
Adv.Theor.Math.Phys.10:747-757,2006
| null | null |
hep-th
| null |
We claim that $M$(atroid) theory may provide a mathematical framework for an
underlying description of $M$-theory. Duality is the key symmetry which
motivates our proposal. The definition of an oriented matroid in terms of the
Farkas property plays a central role in our formalism. We outline how this
definition may be carried over $M$-theory. As a consequence of our analysis we
find a new type of action for extended systems which combines dually the
$p$-brane and its dual $p^{\perp}$-brane.
|
[
{
"created": "Mon, 13 Jun 2005 21:38:01 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jul 2006 18:14:10 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Nieto",
"J. A.",
""
]
] |
We claim that $M$(atroid) theory may provide a mathematical framework for an underlying description of $M$-theory. Duality is the key symmetry which motivates our proposal. The definition of an oriented matroid in terms of the Farkas property plays a central role in our formalism. We outline how this definition may be carried over $M$-theory. As a consequence of our analysis we find a new type of action for extended systems which combines dually the $p$-brane and its dual $p^{\perp}$-brane.
|
hep-th/0010206
|
Andrei Mikhailov
|
Andrei Mikhailov
|
Giant Gravitons from Holomorphic Surfaces
|
LaTeX, 21pp
|
JHEP 0011 (2000) 027
|
10.1088/1126-6708/2000/11/027
|
NSF-ITP-00-112, ITEP-TH-37/00
|
hep-th
| null |
We introduce a class of supersymmetric cycles in spacetimes of the form AdS
times a sphere or $T^{1,1}$ which can be considered as generalizations of the
giant gravitons. Branes wrapped on these cycles preserve $1\over 2$, $1\over 4$
or $1\over 8$ of the supersymmetry. On the CFT side these configurations
correspond to superpositions of the large number of BPS states.
|
[
{
"created": "Tue, 24 Oct 2000 02:39:12 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Mikhailov",
"Andrei",
""
]
] |
We introduce a class of supersymmetric cycles in spacetimes of the form AdS times a sphere or $T^{1,1}$ which can be considered as generalizations of the giant gravitons. Branes wrapped on these cycles preserve $1\over 2$, $1\over 4$ or $1\over 8$ of the supersymmetry. On the CFT side these configurations correspond to superpositions of the large number of BPS states.
|
hep-th/0101060
|
Carlos F. Sopuerta
|
Antonio Campos and Carlos F. Sopuerta (RCG, Portsmouth U.)
|
Evolution of Cosmological Models in the Brane-world Scenario
|
15 pages, Revtex v3.0, 16 postscript files. Minor changes to match
the published version
|
Phys.Rev. D63 (2001) 104012
|
10.1103/PhysRevD.63.104012
| null |
hep-th astro-ph gr-qc
| null |
In this work we consider Randall-Sundrum brane-world type scenarios, in which
the spacetime is described by a five-dimensional manifold with matter fields
confined in a domain wall or three-brane. We present the results of a
systematic analysis, using dynamical systems techniques, of the qualitative
behaviour of the Friedmann-Lemaitre-Robertson-Walker and the Bianchi I and V
cosmological models in these scenarios. We construct the state spaces for these
models and discuss how their structure changes with respect to the
general-relativistic case, in particular, what new critical points appear and
their nature, the occurrence of bifurcations and the dynamics of anisotropy.
|
[
{
"created": "Wed, 10 Jan 2001 12:07:58 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Apr 2001 12:32:32 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Campos",
"Antonio",
"",
"RCG, Portsmouth U."
],
[
"Sopuerta",
"Carlos F.",
"",
"RCG, Portsmouth U."
]
] |
In this work we consider Randall-Sundrum brane-world type scenarios, in which the spacetime is described by a five-dimensional manifold with matter fields confined in a domain wall or three-brane. We present the results of a systematic analysis, using dynamical systems techniques, of the qualitative behaviour of the Friedmann-Lemaitre-Robertson-Walker and the Bianchi I and V cosmological models in these scenarios. We construct the state spaces for these models and discuss how their structure changes with respect to the general-relativistic case, in particular, what new critical points appear and their nature, the occurrence of bifurcations and the dynamics of anisotropy.
|
1301.6478
|
Wung-Hong Huang
|
Wung-Hong Huang
|
Lorentz Covariant Lagrangians of Self-dual Gauge Fields
|
Latex, 22 pages, add no-go theorem
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the method of PST formulation to find a systematic way to
covariantize several non-covariant Lagrangians of self-dual gauge fields. We
derive in detail the necessary basic formulas which are used to prove the
existence of extra local symmetry that allows us to gauge fix the auxiliary
fields therein and non-covariant formulations are restored. We see that, the
extra local symmetry in the PST and PSST formulations, which describe the
covariant Lagrangians in the 6D decomposition of $6=1+5$ and $6=3+3$
respectively, can be expressed as a simple linear form in the field strength.
However, although in this paper we have found the covariant Lagrangians in the
other decomposition of $6=2+4$, the extra local symmetry of the gauge field
cannot be expressed as a simple linear form in the field strength. We present a
no-go theorem to prove this specific property. We also find other covariant
Lagrangians with more complex decomposition of spacetime.
|
[
{
"created": "Mon, 28 Jan 2013 09:04:49 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jan 2013 16:37:04 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2013 12:25:08 GMT",
"version": "v3"
}
] |
2013-07-09
|
[
[
"Huang",
"Wung-Hong",
""
]
] |
We extend the method of PST formulation to find a systematic way to covariantize several non-covariant Lagrangians of self-dual gauge fields. We derive in detail the necessary basic formulas which are used to prove the existence of extra local symmetry that allows us to gauge fix the auxiliary fields therein and non-covariant formulations are restored. We see that, the extra local symmetry in the PST and PSST formulations, which describe the covariant Lagrangians in the 6D decomposition of $6=1+5$ and $6=3+3$ respectively, can be expressed as a simple linear form in the field strength. However, although in this paper we have found the covariant Lagrangians in the other decomposition of $6=2+4$, the extra local symmetry of the gauge field cannot be expressed as a simple linear form in the field strength. We present a no-go theorem to prove this specific property. We also find other covariant Lagrangians with more complex decomposition of spacetime.
|
0909.5167
|
Anzhong Wang
|
Anzhong Wang, David Wands and Roy Maartens
|
Scalar field perturbations in Horava-Lifshitz cosmology
|
Revtex4, no figures. Version published in JCAP 03, 013 (2010).
|
JCAP 1003:013,2010
|
10.1088/1475-7516/2010/03/013
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study perturbations of a scalar field cosmology in Horava-Lifshitz
gravity, adopting the most general setup without detailed balance but with the
projectability condition. We derive the generalized Klein-Gordon equation,
which is sixth-order in spatial derivatives. Then we investigate scalar field
perturbations coupled to gravity in a flat Friedmann-Robertson-Walker
background. In the sub-horizon regime, the metric and scalar field modes have
independent oscillations with different frequencies and phases except in
particular cases. On super-horizon scales, the perturbations become adiabatic
during slow-roll inflation driven by a single field, and the comoving curvature
perturbation is constant.
|
[
{
"created": "Mon, 28 Sep 2009 19:56:01 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2010 14:56:22 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Apr 2010 01:45:32 GMT",
"version": "v3"
}
] |
2010-04-27
|
[
[
"Wang",
"Anzhong",
""
],
[
"Wands",
"David",
""
],
[
"Maartens",
"Roy",
""
]
] |
We study perturbations of a scalar field cosmology in Horava-Lifshitz gravity, adopting the most general setup without detailed balance but with the projectability condition. We derive the generalized Klein-Gordon equation, which is sixth-order in spatial derivatives. Then we investigate scalar field perturbations coupled to gravity in a flat Friedmann-Robertson-Walker background. In the sub-horizon regime, the metric and scalar field modes have independent oscillations with different frequencies and phases except in particular cases. On super-horizon scales, the perturbations become adiabatic during slow-roll inflation driven by a single field, and the comoving curvature perturbation is constant.
|
1012.2881
|
Mohammed Mia
|
Mohammed Mia
|
From string theory to large N QCD
|
PhD Thesis, 175 pages, 28 figures
| null | null | null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose the dual gravity of a non conformal gauge theory which has
logarithmic running of couplings in the IR but becomes almost conformal in the
far UV. The theory has matter in fundamental representation, non-zero
temperature and under a cascade of Seiberg dualities, can be described in terms
of gauge groups of lower and lower rank. We outline the procedure of
holographic renormalization and propose a mechanism to UV complete the gauge
theory by modifying the dual geometry at large radial distances. As an example,
we construct the brane configuration and sources required to attach a
Klebanov-Witten type geometry at large r to a Klebanov- Strassler type geometry
at small r. Using the supergravity description for the dual geometry, we
compute thermal mass of a fundamental 'quark' in our theory along with drag and
diffusion coefficients of the gauge theory plasma. We compute the stress tensor
of the gauge theory and formulate the wake a probe leaves behind as it
traverses the medium. Transport coefficient shear viscosity {\eta} and its
ratio to entropy {\eta}/s are calculated and finally we show how confinement of
'quarks' at large separation can occur at low temperatures. We classify the
most general dual geometry that gives rise to linear confinement at low
temperatures and show how quarkonium states can melt at high temperatures to
liberate 'quarks'.
|
[
{
"created": "Mon, 13 Dec 2010 21:11:14 GMT",
"version": "v1"
}
] |
2010-12-15
|
[
[
"Mia",
"Mohammed",
""
]
] |
We propose the dual gravity of a non conformal gauge theory which has logarithmic running of couplings in the IR but becomes almost conformal in the far UV. The theory has matter in fundamental representation, non-zero temperature and under a cascade of Seiberg dualities, can be described in terms of gauge groups of lower and lower rank. We outline the procedure of holographic renormalization and propose a mechanism to UV complete the gauge theory by modifying the dual geometry at large radial distances. As an example, we construct the brane configuration and sources required to attach a Klebanov-Witten type geometry at large r to a Klebanov- Strassler type geometry at small r. Using the supergravity description for the dual geometry, we compute thermal mass of a fundamental 'quark' in our theory along with drag and diffusion coefficients of the gauge theory plasma. We compute the stress tensor of the gauge theory and formulate the wake a probe leaves behind as it traverses the medium. Transport coefficient shear viscosity {\eta} and its ratio to entropy {\eta}/s are calculated and finally we show how confinement of 'quarks' at large separation can occur at low temperatures. We classify the most general dual geometry that gives rise to linear confinement at low temperatures and show how quarkonium states can melt at high temperatures to liberate 'quarks'.
|
1607.01498
|
Masaatsu Horikoshi
|
Masaatsu Horikoshi and Kazumi Okuyama
|
$\alpha'$-expansion of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$
SYM from Fermi Gas
|
9 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the large 't Hooft coupling expansion of 1/2 BPS Wilson loops in the
anti-symmetric representation in $ \mathcal{N}=4 $ super Yang-Mills (SYM)
theory at the leading order in the 1/N expansion. Via AdS/CFT correspondence,
this expansion corresponds to the $\alpha'$ expansion in bulk type IIB string
theory. We show that this expansion can be systematically computed by using the
low temperature expansion of Fermi distribution function, known as the
Sommerfeld expansion in statistical mechanics. We check numerically that our
expansion agrees with the exact result of anti-symmetric Wilson loops recently
found by Fiol and Torrents.
|
[
{
"created": "Wed, 6 Jul 2016 07:30:52 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 2016 00:08:21 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Sep 2016 05:30:33 GMT",
"version": "v3"
},
{
"created": "Thu, 29 Sep 2016 09:06:57 GMT",
"version": "v4"
}
] |
2016-09-30
|
[
[
"Horikoshi",
"Masaatsu",
""
],
[
"Okuyama",
"Kazumi",
""
]
] |
We study the large 't Hooft coupling expansion of 1/2 BPS Wilson loops in the anti-symmetric representation in $ \mathcal{N}=4 $ super Yang-Mills (SYM) theory at the leading order in the 1/N expansion. Via AdS/CFT correspondence, this expansion corresponds to the $\alpha'$ expansion in bulk type IIB string theory. We show that this expansion can be systematically computed by using the low temperature expansion of Fermi distribution function, known as the Sommerfeld expansion in statistical mechanics. We check numerically that our expansion agrees with the exact result of anti-symmetric Wilson loops recently found by Fiol and Torrents.
|
hep-th/0207203
|
Christof Schmidhuber
|
Christof Schmidhuber
|
Old Puzzles
| null | null | null |
CERN-TH/2000-254
|
hep-th gr-qc hep-ph
| null |
In this talk I first briefly review how far we have come in answering old
questions about the most fundamental building blocks of matter. I begin with
things we know, which is the Standard Model, and then talk about things we can
guess, which is superstring theory. After this review I discuss a key point at
which our understanding of superstring theory presently stops: the problem of
supersymmetry breaking and the cosmological constant. I explain in which
direction I imagine a way out. This way out predicts gravitinos and dilatons
with masses of order milli-eV.
|
[
{
"created": "Mon, 22 Jul 2002 22:21:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schmidhuber",
"Christof",
""
]
] |
In this talk I first briefly review how far we have come in answering old questions about the most fundamental building blocks of matter. I begin with things we know, which is the Standard Model, and then talk about things we can guess, which is superstring theory. After this review I discuss a key point at which our understanding of superstring theory presently stops: the problem of supersymmetry breaking and the cosmological constant. I explain in which direction I imagine a way out. This way out predicts gravitinos and dilatons with masses of order milli-eV.
|
hep-th/9710053
|
Ori Ganor
|
Yeuk-Kwan E. Cheung, Ori J. Ganor and Morten Krogh
|
Correlators of the Global Symmetry Currents of 4D and 6D Superconformal
Theories
|
25pp harvmac TeX with one eps figure
|
Nucl.Phys. B523 (1998) 171-192
|
10.1016/S0550-3213(98)00139-4
|
PUPT-1728
|
hep-th
| null |
We study the two-point correlators of the currents of the $E_8$ global
symmetry in the $N=(1,0)$ superconformal six-dimensional theory as well as in
the 4D superconformal theories upon toroidal compactification. From the
high-energy behavior of the correlator we deduce that in 4D 10 copies of the
superconformal theory with $E_8$ global symmetry can be coupled to an N=2 $E_8$
gauge theory. We present three alternative derivations for the expression for
the correlators. One from field-theory, one from M-theory and one from
F-theory.
|
[
{
"created": "Mon, 6 Oct 1997 20:48:12 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Cheung",
"Yeuk-Kwan E.",
""
],
[
"Ganor",
"Ori J.",
""
],
[
"Krogh",
"Morten",
""
]
] |
We study the two-point correlators of the currents of the $E_8$ global symmetry in the $N=(1,0)$ superconformal six-dimensional theory as well as in the 4D superconformal theories upon toroidal compactification. From the high-energy behavior of the correlator we deduce that in 4D 10 copies of the superconformal theory with $E_8$ global symmetry can be coupled to an N=2 $E_8$ gauge theory. We present three alternative derivations for the expression for the correlators. One from field-theory, one from M-theory and one from F-theory.
|
0807.3270
|
Daniel Blaschke
|
Daniel N. Blaschke, Francois Gieres, Erwin Kronberger, Thomas Reis,
Manfred Schweda, Rene I. P. Sedmik
|
Quantum Corrections for Translation-Invariant Renormalizable
Non-Commutative Phi^4 Theory
|
18 pages, v2: slightly extended version including a new section on
one-loop renormalization, v3: minor revision
|
JHEP 0811:074,2008
|
10.1088/1126-6708/2008/11/074
|
LYCEN 2008-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we elaborate on the translation-invariant renormalizable Phi^4
theory in 4-dimensional non-commutative space which was recently introduced by
the Orsay group. By explicitly performing Feynman graph calculations at one
loop and higher orders we illustrate the mechanism which overcomes the UV/IR
mixing problem and ultimately leads to a renormalizable model. The obtained
results show that the IR divergences are also suppressed in the massless case,
which is of importance for the gauge field theoretic generalization of the
scalar field model.
|
[
{
"created": "Mon, 21 Jul 2008 14:10:42 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2008 11:55:47 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Nov 2008 12:11:34 GMT",
"version": "v3"
}
] |
2011-07-19
|
[
[
"Blaschke",
"Daniel N.",
""
],
[
"Gieres",
"Francois",
""
],
[
"Kronberger",
"Erwin",
""
],
[
"Reis",
"Thomas",
""
],
[
"Schweda",
"Manfred",
""
],
[
"Sedmik",
"Rene I. P.",
""
]
] |
In this paper we elaborate on the translation-invariant renormalizable Phi^4 theory in 4-dimensional non-commutative space which was recently introduced by the Orsay group. By explicitly performing Feynman graph calculations at one loop and higher orders we illustrate the mechanism which overcomes the UV/IR mixing problem and ultimately leads to a renormalizable model. The obtained results show that the IR divergences are also suppressed in the massless case, which is of importance for the gauge field theoretic generalization of the scalar field model.
|
hep-th/9611107
|
Leith Cooper
|
Leith Cooper, Ian I. Kogan and Kai-Ming Lee
|
String Winding Modes From Charge Non-Conservation in Compact
Chern-Simons Theory
|
15 pages, LaTeX, 2 figures, uses psfig
|
Phys.Lett. B394 (1997) 67-74
|
10.1016/S0370-2693(96)01692-9
|
OUTP-96-68P
|
hep-th
| null |
In this letter we show how string winding modes can be constructed using
topological membranes. We use the fact that monopole-instantons in compact
topologically massive gauge theory lead to charge non-conservation inside the
membrane which, in turn, enables us to construct vertex operators with
different left and right momenta. The amount of charge non-conservation inside
the membrane is interpreted as giving the momentum associated with the string
winding mode and is shown to match precisely the full mass spectrum of
compactified string theory.
|
[
{
"created": "Thu, 14 Nov 1996 13:05:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Cooper",
"Leith",
""
],
[
"Kogan",
"Ian I.",
""
],
[
"Lee",
"Kai-Ming",
""
]
] |
In this letter we show how string winding modes can be constructed using topological membranes. We use the fact that monopole-instantons in compact topologically massive gauge theory lead to charge non-conservation inside the membrane which, in turn, enables us to construct vertex operators with different left and right momenta. The amount of charge non-conservation inside the membrane is interpreted as giving the momentum associated with the string winding mode and is shown to match precisely the full mass spectrum of compactified string theory.
|
hep-th/9709172
|
Sascha Vongehr
|
Sascha Vongehr
|
Black Hole Thermodynamics in Semi-Classical and Superstring Theory
|
65 pages, Latex
| null | null | null |
hep-th
| null |
This is a revised and shortened version of a MSc thesis submitted to the
University of Sussex, UK. An introduction into the pre-string physics of black
holes and related thermodynamics is given. Then, starting with an introduction
of how superstring theory is approaching the problem of black hole entropy,
work on that and closely related topics like Hawking radiation and the
information paradox is reviewed.
|
[
{
"created": "Wed, 24 Sep 1997 10:35:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Vongehr",
"Sascha",
""
]
] |
This is a revised and shortened version of a MSc thesis submitted to the University of Sussex, UK. An introduction into the pre-string physics of black holes and related thermodynamics is given. Then, starting with an introduction of how superstring theory is approaching the problem of black hole entropy, work on that and closely related topics like Hawking radiation and the information paradox is reviewed.
|
0801.4457
|
Chethan Gowdigere
|
R. Fareghbal, C. N. Gowdigere, A. E. Mosaffa, M. M. Sheikh-Jabbari
|
Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4
SYM
|
44 pages, references added, minor changes
|
JHEP 0808:070,2008
|
10.1088/1126-6708/2008/08/070
|
IPM/P-2008/005, SUT-P-08-1a, IC/2008/003
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study near-horizon limits of near-extremal charged black hole solutions to
five-dimensional $U(1)^3$ gauged supergravity carrying two charges, extending
the recent work of Balasubramanian et.al. We show that there are two
near-horizon decoupling limits for the near-extremal black holes, one
corresponding to the near-BPS case and the other for the far from BPS case.
Both of these limits are only defined on the 10d IIB uplift of the 5d black
holes, resulting in a decoupled geometry with a six-dimensional part (conformal
to) a rotating BTZ X $S^3$. We study various aspects of these decoupling limits
both from the gravity side and the dual field theory side. For the latter we
argue that there should be two different, but equivalent, dual gauge theory
descriptions, one in terms of the 2d CFT's dual to the rotating BTZ and the
other as certain large R-charge sectors of d=4,N =4 U(N) SYM theory. We discuss
new BMN-type sectors of the N=4 SYM in the $N\to\infty$ limit in which the
engineering dimensions scale as $N^{3/2}$ (for the near-BPS case) and as $N^2$
(for the far from BPS case).
|
[
{
"created": "Tue, 29 Jan 2008 10:22:41 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Apr 2008 13:43:25 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jul 2008 13:24:16 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Fareghbal",
"R.",
""
],
[
"Gowdigere",
"C. N.",
""
],
[
"Mosaffa",
"A. E.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] |
We study near-horizon limits of near-extremal charged black hole solutions to five-dimensional $U(1)^3$ gauged supergravity carrying two charges, extending the recent work of Balasubramanian et.al. We show that there are two near-horizon decoupling limits for the near-extremal black holes, one corresponding to the near-BPS case and the other for the far from BPS case. Both of these limits are only defined on the 10d IIB uplift of the 5d black holes, resulting in a decoupled geometry with a six-dimensional part (conformal to) a rotating BTZ X $S^3$. We study various aspects of these decoupling limits both from the gravity side and the dual field theory side. For the latter we argue that there should be two different, but equivalent, dual gauge theory descriptions, one in terms of the 2d CFT's dual to the rotating BTZ and the other as certain large R-charge sectors of d=4,N =4 U(N) SYM theory. We discuss new BMN-type sectors of the N=4 SYM in the $N\to\infty$ limit in which the engineering dimensions scale as $N^{3/2}$ (for the near-BPS case) and as $N^2$ (for the far from BPS case).
|
2007.07897
|
Falk Hassler
|
Falk Hassler and Thomas Rochais
|
$\alpha'$-corrected Poisson-Lie T-duality
|
5 pages
| null |
10.1002/prop.202000063
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose leading order $\alpha'$-corrections to the Poisson-Lie T-duality
transformation rules of the metric, $B$-field, and dilaton. Based on Double
Field Theory, whose corrections to this order are known, we argue that they map
conformal field theories to conformal field theories. Remarkably, Born geometry
plays a central role in the construction.
|
[
{
"created": "Wed, 15 Jul 2020 18:00:00 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Hassler",
"Falk",
""
],
[
"Rochais",
"Thomas",
""
]
] |
We propose leading order $\alpha'$-corrections to the Poisson-Lie T-duality transformation rules of the metric, $B$-field, and dilaton. Based on Double Field Theory, whose corrections to this order are known, we argue that they map conformal field theories to conformal field theories. Remarkably, Born geometry plays a central role in the construction.
|
0706.4052
|
C. P. Martin
|
C.P. Martin and C. Tamarit (Universidad Complutense de Madrid)
|
Renormalisability of the matter determinants in noncommutative gauge
theory in the enveloping-algebra formalism
|
7 pages
|
Phys.Lett.B658:170-173,2008
|
10.1016/j.physletb.2007.08.033
|
FTI/UCM 75-2007
|
hep-th
| null |
We consider noncommutative gauge theory defined by means of Seiberg-Witten
maps for an arbitrary semisimple gauge group. We compute the one-loop UV
divergent matter contributions to the gauge field effective action to all
orders in the noncommutative parameters $\theta$. We do this for Dirac fermions
and complex scalars carrying arbitrary representations of the gauge group. We
use path-integral methods in the framework of dimensional regularisation and
consider arbitrary invertible Seiberg-Witten maps that are linear in the matter
fields. Surprisingly, it turns out that the UV divergent parts of the matter
contributions are proportional to the noncommutative Yang-Mills action where
traces are taken over the representation of the matter fields; this result
supports the need to include such traces in the classical action of the gauge
sector of the noncommutative theory.
|
[
{
"created": "Wed, 27 Jun 2007 15:35:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Martin",
"C. P.",
"",
"Universidad Complutense de Madrid"
],
[
"Tamarit",
"C.",
"",
"Universidad Complutense de Madrid"
]
] |
We consider noncommutative gauge theory defined by means of Seiberg-Witten maps for an arbitrary semisimple gauge group. We compute the one-loop UV divergent matter contributions to the gauge field effective action to all orders in the noncommutative parameters $\theta$. We do this for Dirac fermions and complex scalars carrying arbitrary representations of the gauge group. We use path-integral methods in the framework of dimensional regularisation and consider arbitrary invertible Seiberg-Witten maps that are linear in the matter fields. Surprisingly, it turns out that the UV divergent parts of the matter contributions are proportional to the noncommutative Yang-Mills action where traces are taken over the representation of the matter fields; this result supports the need to include such traces in the classical action of the gauge sector of the noncommutative theory.
|
2403.04614
|
Gang Chen
|
Gang Chen, Laurentiu Rodina, Congkao Wen
|
Kinematic Hopf algebra and BCJ numerators at finite $\alpha'$
|
7+5 pages, 0 figures
| null | null |
QMUL-PH-24-04
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter, starting from a kinematic Hopf algebra, we first construct a
closed-form formula for all Bern-Carrasco-Johansson (BCJ) numerators in
Yang-Mills (YM) theory with infinite orders of $\alpha'$ corrections, known as
$\rm DF^2+YM$ theory, when coupled to two heavy particles which can be removed
through a simple factorization limit. The full $\alpha'$ dependence appears
simply in massive physical propagator factors, with factorization strongly
constraining the construction. The intricate structure induced by the massive
poles also naturally leads us to find a novel closed-form and local expression
for BCJ numerators in usual pure YM theory, based directly on the kinematic
Hopf algebra.
|
[
{
"created": "Thu, 7 Mar 2024 15:58:42 GMT",
"version": "v1"
}
] |
2024-03-08
|
[
[
"Chen",
"Gang",
""
],
[
"Rodina",
"Laurentiu",
""
],
[
"Wen",
"Congkao",
""
]
] |
In this letter, starting from a kinematic Hopf algebra, we first construct a closed-form formula for all Bern-Carrasco-Johansson (BCJ) numerators in Yang-Mills (YM) theory with infinite orders of $\alpha'$ corrections, known as $\rm DF^2+YM$ theory, when coupled to two heavy particles which can be removed through a simple factorization limit. The full $\alpha'$ dependence appears simply in massive physical propagator factors, with factorization strongly constraining the construction. The intricate structure induced by the massive poles also naturally leads us to find a novel closed-form and local expression for BCJ numerators in usual pure YM theory, based directly on the kinematic Hopf algebra.
|
hep-th/9706212
|
Stanislaw Glazek
|
Stanislaw D. Glazek (Institute of Theoretical Physics, Warsaw
University)
|
Renormalization of Hamiltonians in the Light-Front Fock Space
|
plain LaTeX file, 81 pages
| null | null | null |
hep-th
| null |
We outline an ultraviolet renormalization procedure for hamiltonians acting
in the light-front Fock space. The hamiltonians are defined and calculated
using creation and annihilation operators with no limitation of the space of
states. Both, the regularization of the initial hamiltonian and the definition
of the renormalized effective hamiltonians, preserve the light-front frame
kinematical symmetries. The general equations for the effective hamiltonians
are illustrated by second order calculations of the self-energy and
two-particle interaction terms in Yukawa theory, QED and QCD. Infrared
singularities are regulated but not renormalized.
|
[
{
"created": "Sun, 29 Jun 1997 00:10:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Glazek",
"Stanislaw D.",
"",
"Institute of Theoretical Physics, Warsaw\n University"
]
] |
We outline an ultraviolet renormalization procedure for hamiltonians acting in the light-front Fock space. The hamiltonians are defined and calculated using creation and annihilation operators with no limitation of the space of states. Both, the regularization of the initial hamiltonian and the definition of the renormalized effective hamiltonians, preserve the light-front frame kinematical symmetries. The general equations for the effective hamiltonians are illustrated by second order calculations of the self-energy and two-particle interaction terms in Yukawa theory, QED and QCD. Infrared singularities are regulated but not renormalized.
|
1706.05741
|
Yaniel Cabrera
|
Yaniel Cabrera
|
Topological defects in string theory orbifolds with target spaces
$\mathbb{C}/\mathbb{Z}_N$ and $S^1/\mathbb{Z}_2$
|
PhD thesis
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study conformal defects in two important examples of string theory
orbifolds. First, we show that topological defects in the language of
Landau-Ginzburg models carry information about the RG flow between the
non-compact orbifolds $\mathbb{C}/\mathbb{Z}_d$. Such defects are shown to
correctly implement the bulk-induced RG flow on the boundary. Secondly, we
study what the possible conformal defects are between the $c=1$ bosonic 2D
conformal field theories with target space $S^1/\mathbb{Z}_2$. The defects
cataloged here are obtained from boundary states corresponding to D-branes in
the $c=2$ free theory with target space $S^1/\mathbb{Z}_2 \times
S^1/\mathbb{Z}_2$. Via the unfolding procedure, such boundary states are later
mapped to defects between the circle orbifolds. Furthermore, we compute the
algebra of the topological class of defects at different radii.
|
[
{
"created": "Sun, 18 Jun 2017 23:09:54 GMT",
"version": "v1"
}
] |
2017-06-20
|
[
[
"Cabrera",
"Yaniel",
""
]
] |
We study conformal defects in two important examples of string theory orbifolds. First, we show that topological defects in the language of Landau-Ginzburg models carry information about the RG flow between the non-compact orbifolds $\mathbb{C}/\mathbb{Z}_d$. Such defects are shown to correctly implement the bulk-induced RG flow on the boundary. Secondly, we study what the possible conformal defects are between the $c=1$ bosonic 2D conformal field theories with target space $S^1/\mathbb{Z}_2$. The defects cataloged here are obtained from boundary states corresponding to D-branes in the $c=2$ free theory with target space $S^1/\mathbb{Z}_2 \times S^1/\mathbb{Z}_2$. Via the unfolding procedure, such boundary states are later mapped to defects between the circle orbifolds. Furthermore, we compute the algebra of the topological class of defects at different radii.
|
hep-th/0007209
|
Chris Pope
|
M. Cvetic, H. Lu and C.N. Pope
|
Domain Walls with Localised Gravity and Domain-Wall/QFT Correspondence
|
plain latex, 25 pages, typos corrected
|
Phys.Rev.D63:086004,2001
|
10.1103/PhysRevD.63.086004
| null |
hep-th
| null |
We review general domain-wall solutions supported by a delta-function source,
together with a single pure exponential scalar potential in supergravity. These
scalar potentials arise from a sphere reduction in M-theory or string theory.
There are several examples of flat (BPS) domain walls that lead to a
localisation of gravity on the brane, and for these we obtain the form of the
corrections to Newtonian gravity. These solutions are lifted back on certain
internal spheres to D=11 and D=10 as M-branes and D-branes. We find that the
domain walls that can trap gravity yield M-branes or Dp-branes that have a
natural decoupling limit, i.e. p\le 5, with the delta-function source providing
an ultra-violet cut-off in a dual quantum field theory. This suggests that the
localisation of gravity can generally be realised within a Domain-wall/QFT
correspondence, with the delta-function domain-wall source providing a cut-off
from the space-time boundary for these domain-wall solutions. We also discuss
the form of the one-loop corrections to the graviton propagator from the
boundary QFT that would reproduce the corrections to the Newtonian gravity on
the domain wall.
|
[
{
"created": "Wed, 26 Jul 2000 09:42:38 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2000 22:22:36 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Aug 2000 06:34:13 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Cvetic",
"M.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
We review general domain-wall solutions supported by a delta-function source, together with a single pure exponential scalar potential in supergravity. These scalar potentials arise from a sphere reduction in M-theory or string theory. There are several examples of flat (BPS) domain walls that lead to a localisation of gravity on the brane, and for these we obtain the form of the corrections to Newtonian gravity. These solutions are lifted back on certain internal spheres to D=11 and D=10 as M-branes and D-branes. We find that the domain walls that can trap gravity yield M-branes or Dp-branes that have a natural decoupling limit, i.e. p\le 5, with the delta-function source providing an ultra-violet cut-off in a dual quantum field theory. This suggests that the localisation of gravity can generally be realised within a Domain-wall/QFT correspondence, with the delta-function domain-wall source providing a cut-off from the space-time boundary for these domain-wall solutions. We also discuss the form of the one-loop corrections to the graviton propagator from the boundary QFT that would reproduce the corrections to the Newtonian gravity on the domain wall.
|
1609.07798
|
Santiago Cabrera
|
Santiago Cabrera and Amihay Hanany
|
Branes and the Kraft-Procesi Transition
|
64 pages, 37 figures, 16 tables
|
JHEP11(2016)175
|
10.1007/JHEP11(2016)175
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Coulomb and Higgs branches of certain 3d N=4 gauge theories can be
understood as closures of nilpotent orbits. Recently, a new theorem by Namikawa
suggests that this is the simplest possible case, thus giving this class a
special role. In this note we use branes to reproduce the mathematical work by
Kraft and Procesi. It studies the classification of all nilpotent orbits for
classical groups and it characterizes an inclusion relation via minimal
singularities. We show how these minimal singularities arise naturally in the
Type IIB superstring embedding of the 3d A-type theories. The Higgs mechanism
can be used to remove the minimal singularity, corresponding to a transition in
the brane configuration that induces a new effective 3d theory. This reproduces
the Kraft-Procesi results, endowing the family of gauge theories with a new
underlying structure. We provide an efficient procedure for computing such
brane transitions.
|
[
{
"created": "Sun, 25 Sep 2016 20:50:49 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2016 15:51:24 GMT",
"version": "v2"
}
] |
2016-12-19
|
[
[
"Cabrera",
"Santiago",
""
],
[
"Hanany",
"Amihay",
""
]
] |
The Coulomb and Higgs branches of certain 3d N=4 gauge theories can be understood as closures of nilpotent orbits. Recently, a new theorem by Namikawa suggests that this is the simplest possible case, thus giving this class a special role. In this note we use branes to reproduce the mathematical work by Kraft and Procesi. It studies the classification of all nilpotent orbits for classical groups and it characterizes an inclusion relation via minimal singularities. We show how these minimal singularities arise naturally in the Type IIB superstring embedding of the 3d A-type theories. The Higgs mechanism can be used to remove the minimal singularity, corresponding to a transition in the brane configuration that induces a new effective 3d theory. This reproduces the Kraft-Procesi results, endowing the family of gauge theories with a new underlying structure. We provide an efficient procedure for computing such brane transitions.
|
1110.6153
|
Mikhail Volkov
|
Mikhail S. Volkov
|
Cosmological solutions with massive gravitons in the bigravity theory
|
21 pages, 4 figures
| null |
10.1007/JHEP01(2012)035
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present solutions describing homogeneous and isotropic cosmologies in the
massive gravity theory with two dynamical metrics recently proposed in
arXiv:1109.3515 and claimed to be ghost free. These solutions can be spatially
open, closed, or flat, and at early times they are sourced by the perfect
fluid, while the graviton mass typically manifests itself at late times by
giving rise to a cosmological term. In addition, there are also exotic
solutions, for which already at early times, when the matter density is high,
the contribution of the graviton mass to the energy density is negative and
large enough to screen that of the matter contribution. The total energy can
then be negative, which may result in removing the initial singularity. For
special parameter values there are also solutions for which the two metrics
effectively decouple and evolve independently of each other. In the limit where
one of the gravitational coupling constant vanishes, such special solutions
reduce to those found in arXiv:1107.5504 within the theory where one of the
metrics is flat.
|
[
{
"created": "Thu, 27 Oct 2011 18:28:19 GMT",
"version": "v1"
}
] |
2015-05-30
|
[
[
"Volkov",
"Mikhail S.",
""
]
] |
We present solutions describing homogeneous and isotropic cosmologies in the massive gravity theory with two dynamical metrics recently proposed in arXiv:1109.3515 and claimed to be ghost free. These solutions can be spatially open, closed, or flat, and at early times they are sourced by the perfect fluid, while the graviton mass typically manifests itself at late times by giving rise to a cosmological term. In addition, there are also exotic solutions, for which already at early times, when the matter density is high, the contribution of the graviton mass to the energy density is negative and large enough to screen that of the matter contribution. The total energy can then be negative, which may result in removing the initial singularity. For special parameter values there are also solutions for which the two metrics effectively decouple and evolve independently of each other. In the limit where one of the gravitational coupling constant vanishes, such special solutions reduce to those found in arXiv:1107.5504 within the theory where one of the metrics is flat.
|
hep-th/0509033
|
Chris Austin
|
Chris Austin
|
Cluster Convergence Theorem
|
LaTeX2e transcription of 1988 paper, with references added. 42 pages.
Needs amsfonts. For an application of the theorem to a BPHZ convergence
proof, in Euclidean position space, without exponentiating the propagators,
see http://web.ukonline.co.uk/chrisaustin/
| null | null | null |
hep-th
| null |
A power-counting theorem is presented, that is designed to play an analogous
role, in the proof of a BPHZ convergence theorem, in Euclidean position space,
to the role played by Weinberg's power-counting theorem, in Zimmermann's proof
of the BPHZ convergence theorem, in momentum space. If $x$ denotes a position
space configuration, of the vertices, of a Feynman diagram, and $\sigma$ is a
real number, such that $0 < \sigma < 1$, a $\sigma$-cluster, of $x$, is a
nonempty subset, $J$, of the vertices of the diagram, such that the maximum
distance, between any two vertices, in $J$, is less than $\sigma$, times the
minimum distance, from any vertex, in $J$, to any vertex, not in $J$. The set
of all the $\sigma$-clusters, of $x$, has similar combinatoric properties to a
forest, and the configuration space, of the vertices, is cut up into a finite
number of sectors, classified by the set of all their $\sigma$-clusters. It is
proved that if, for each such sector, the integrand can be bounded by an
expression, that satisfies a certain power-counting requirement, for each
$\sigma$-cluster, then the integral, over the position, of any one vertex, is
absolutely convergent, and the result can be bounded by the sum of a finite
number of expressions, of the same type, each of which satisfies the
corresponding power-counting requirements.
|
[
{
"created": "Sun, 4 Sep 2005 13:06:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Austin",
"Chris",
""
]
] |
A power-counting theorem is presented, that is designed to play an analogous role, in the proof of a BPHZ convergence theorem, in Euclidean position space, to the role played by Weinberg's power-counting theorem, in Zimmermann's proof of the BPHZ convergence theorem, in momentum space. If $x$ denotes a position space configuration, of the vertices, of a Feynman diagram, and $\sigma$ is a real number, such that $0 < \sigma < 1$, a $\sigma$-cluster, of $x$, is a nonempty subset, $J$, of the vertices of the diagram, such that the maximum distance, between any two vertices, in $J$, is less than $\sigma$, times the minimum distance, from any vertex, in $J$, to any vertex, not in $J$. The set of all the $\sigma$-clusters, of $x$, has similar combinatoric properties to a forest, and the configuration space, of the vertices, is cut up into a finite number of sectors, classified by the set of all their $\sigma$-clusters. It is proved that if, for each such sector, the integrand can be bounded by an expression, that satisfies a certain power-counting requirement, for each $\sigma$-cluster, then the integral, over the position, of any one vertex, is absolutely convergent, and the result can be bounded by the sum of a finite number of expressions, of the same type, each of which satisfies the corresponding power-counting requirements.
|
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