id
stringlengths 9
14
| submitter
stringlengths 1
50
⌀ | authors
stringlengths 5
666
| title
stringlengths 5
242
| comments
stringlengths 1
609
⌀ | journal-ref
stringlengths 9
243
⌀ | doi
stringlengths 12
113
⌀ | report-no
stringlengths 2
204
⌀ | categories
stringlengths 6
112
| license
stringclasses 9
values | orig_abstract
stringlengths 21
2.11k
| versions
listlengths 1
26
| update_date
stringlengths 10
10
| authors_parsed
listlengths 1
38
| abstract
stringlengths 18
2.11k
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0610231
|
Stephen D. H. Hsu
|
R. Buniy, S. Hsu and A. Zee
|
Does string theory predict an open universe?
|
4 pages, 1 figure, revtex. Final version to appear in Physics Letters
B
|
Phys.Lett.B660:382-385,2008
|
10.1016/j.physletb.2008.01.007
| null |
hep-th astro-ph hep-ph
| null |
It has been claimed that the string landscape predicts an open universe, with
negative curvature. The prediction is a consequence of a large number of
metastable string vacua, and the properties of the Coleman--De Luccia instanton
which describes vacuum tunneling. We examine the robustness of this claim,
which is of particular importance since it seems to be one of string theory's
few claims to falsifiability. We find that, due to subleading tunneling
processes, the prediction is sensitive to unknown properties of the landscape.
Under plausible assumptions, universes like ours are as likely to be closed as
open.
|
[
{
"created": "Fri, 20 Oct 2006 23:05:32 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2008 02:52:04 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Buniy",
"R.",
""
],
[
"Hsu",
"S.",
""
],
[
"Zee",
"A.",
""
]
] |
It has been claimed that the string landscape predicts an open universe, with negative curvature. The prediction is a consequence of a large number of metastable string vacua, and the properties of the Coleman--De Luccia instanton which describes vacuum tunneling. We examine the robustness of this claim, which is of particular importance since it seems to be one of string theory's few claims to falsifiability. We find that, due to subleading tunneling processes, the prediction is sensitive to unknown properties of the landscape. Under plausible assumptions, universes like ours are as likely to be closed as open.
|
1706.09977
|
Mina Aganagic
|
Mina Aganagic, Kevin Costello, Jacob McNamara and Cumrun Vafa
|
Topological Chern-Simons/Matter Theories
|
50 pages, 1 figure. v2: references added
| null | null | null |
hep-th math.AG math.DG math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new partially topological theory in three dimensions which
couples Chern-Simons theory to matter. The 3-manifolds needed for this
construction admit transverse holomorphic foliation (THF). The theory depends
only on the choice of such a structure, but not on a choice of metric and in
this sense, it is topological. We argue that this theory arises in topological
A-model string theory on Lagrangian 3-branes in the presence of additional
parallel coisotropic 5-branes. The theory obtained in this way is equivalent to
an N=2 supersymmetric Chern-Simons matter theory on the same 3-manifold, which
also only depends on the THF structure. The theory is a realization of a
topological theory of class H, which allows splitting of a temporal direction
from spatial directions. We briefly discuss potential condensed matter
applications.
|
[
{
"created": "Thu, 29 Jun 2017 23:41:30 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2017 19:52:38 GMT",
"version": "v2"
}
] |
2017-08-29
|
[
[
"Aganagic",
"Mina",
""
],
[
"Costello",
"Kevin",
""
],
[
"McNamara",
"Jacob",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice of such a structure, but not on a choice of metric and in this sense, it is topological. We argue that this theory arises in topological A-model string theory on Lagrangian 3-branes in the presence of additional parallel coisotropic 5-branes. The theory obtained in this way is equivalent to an N=2 supersymmetric Chern-Simons matter theory on the same 3-manifold, which also only depends on the THF structure. The theory is a realization of a topological theory of class H, which allows splitting of a temporal direction from spatial directions. We briefly discuss potential condensed matter applications.
|
1501.03278
|
Vladimir Alexandrovich Krykhtin
|
I.L. Buchbinder, V.A. Krykhtin, M. Tsulaia
|
Lagrangian formulation of massive fermionic higher spin fields on a
constant electromagnetic background
|
22 pages
|
Nucl. Phys. B 896: 1-18, 2015
|
10.1016/j.nuclphysb.2015.04.008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider massive half-integer higher spin fields coupled to an external
constant electromagnetic field in flat space of an arbitrary dimension and
construct a gauge invariant Lagrangian in the linear approximation in the
external field. A procedure for finding the gauge-invariant Lagrangians is
based on the BRST construction where no off-shell constraints on the fields and
on the gauge parameters are imposed from the very beginning. As an example of
the general procedure, we derive a gauge invariant Lagrangian for a massive
fermionic field with spin 3/2 which contains a set of auxiliary fields and
gauge symmetries.
|
[
{
"created": "Wed, 14 Jan 2015 08:29:17 GMT",
"version": "v1"
}
] |
2015-05-05
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Krykhtin",
"V. A.",
""
],
[
"Tsulaia",
"M.",
""
]
] |
We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field. A procedure for finding the gauge-invariant Lagrangians is based on the BRST construction where no off-shell constraints on the fields and on the gauge parameters are imposed from the very beginning. As an example of the general procedure, we derive a gauge invariant Lagrangian for a massive fermionic field with spin 3/2 which contains a set of auxiliary fields and gauge symmetries.
|
hep-th/9510106
|
Nathan Berkovits P.
|
Nathan Berkovits and Warren Siegel
|
Superspace Effective Actions for 4D Compactifications of Heterotic and
Type II Superstrings
|
45 p. (Replaced sentence on non-local terms and added 2 references)
|
Nucl.Phys. B462 (1996) 213-248
|
10.1016/0550-3213(95)00679-6
|
IFUSP-P-1180, ITP-SB-95-41
|
hep-th
| null |
Two-dimensional sigma models are defined for the new manifestly spacetime
supersymmetric description of four-dimensional compactified superstrings. The
resulting target-superspace effective action is constrained by the way the
spacetime dilaton couples to the worldsheet curvature: For the heterotic
superstring, the worldsheet curvature couples to the real part of a chiral
multiplet, and for Type II it couples to the real part of the sum of a vector
multiplet and a tensor hypermultiplet.
For the Type II superstring, this contradicts the standard folklore that only
a hypermultiplet counts string-loops, explains the peculiar dilaton coupling of
Ramond-Ramond fields, and allows the effective action to be easily written in
N=2 4D superspace. It also implies that vector multiplet interactions get no
quantum corrections, while hypermultiplet interactions can only get corrections
if mirror symmetry is non-perturbatively broken.
|
[
{
"created": "Mon, 16 Oct 1995 21:35:54 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 1995 19:57:35 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Berkovits",
"Nathan",
""
],
[
"Siegel",
"Warren",
""
]
] |
Two-dimensional sigma models are defined for the new manifestly spacetime supersymmetric description of four-dimensional compactified superstrings. The resulting target-superspace effective action is constrained by the way the spacetime dilaton couples to the worldsheet curvature: For the heterotic superstring, the worldsheet curvature couples to the real part of a chiral multiplet, and for Type II it couples to the real part of the sum of a vector multiplet and a tensor hypermultiplet. For the Type II superstring, this contradicts the standard folklore that only a hypermultiplet counts string-loops, explains the peculiar dilaton coupling of Ramond-Ramond fields, and allows the effective action to be easily written in N=2 4D superspace. It also implies that vector multiplet interactions get no quantum corrections, while hypermultiplet interactions can only get corrections if mirror symmetry is non-perturbatively broken.
|
hep-th/0508066
|
Cecilia Chirenti
|
Cecilia B. M. H. Chirenti
|
A numerical study on the dimension of an extremely inhomogeneous matter
distribution
|
3 pages, 2 figures
|
Braz.J.Phys. 35 (2005) 1072-1073
| null | null |
hep-th
| null |
We have developed an algorithm that numericaly computes the dimension of an
extremely inhomogeous matter distribution, given by a discrete hierarchical
metric. With our results it is possible to analise how the dimension of the
matter density tends to d = 3, as we consider larger samples.
|
[
{
"created": "Wed, 10 Aug 2005 16:23:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Chirenti",
"Cecilia B. M. H.",
""
]
] |
We have developed an algorithm that numericaly computes the dimension of an extremely inhomogeous matter distribution, given by a discrete hierarchical metric. With our results it is possible to analise how the dimension of the matter density tends to d = 3, as we consider larger samples.
|
0806.3102
|
Pablo G. Camara
|
P. G. Camara and E. Dudas
|
Multi-instanton and string loop corrections in toroidal orbifold models
|
37 pages, 3 figures
|
JHEP0808:069,2008
|
10.1088/1126-6708/2008/08/069
|
CPHT-RR040.0608, LPT-ORSAY 08-57
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze N=2 (perturbative and non-perturbative) corrections to the
effective theory in type I orbifold models where a dual heterotic description
is available. These corrections may play an important role in phenomenological
scenarios. More precisely, we consider two particular compactifications: the
Bianchi-Sagnotti-Gimon-Polchinski orbifold and a freely-acting Z_2 x Z_2
orbifold with N=1 supersymmetry and gauge group SO(q) x SO(32-q). By exploiting
perturbative calculations of the physical gauge couplings on the heterotic
side, we obtain multi-instanton and one-loop string corrections to the K\"ahler
potential and the gauge kinetic function for these models. The non-perturbative
corrections appear as sums over relevant Hecke operators, whereas the one-loop
correction to the K\"ahler potential matches the expression proposed in [1,2].
We argue that these corrections are universal in a given class of models where
target-space modular invariance (or a subgroup of it) holds.
|
[
{
"created": "Thu, 19 Jun 2008 16:37:40 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2008 10:29:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Camara",
"P. G.",
""
],
[
"Dudas",
"E.",
""
]
] |
We analyze N=2 (perturbative and non-perturbative) corrections to the effective theory in type I orbifold models where a dual heterotic description is available. These corrections may play an important role in phenomenological scenarios. More precisely, we consider two particular compactifications: the Bianchi-Sagnotti-Gimon-Polchinski orbifold and a freely-acting Z_2 x Z_2 orbifold with N=1 supersymmetry and gauge group SO(q) x SO(32-q). By exploiting perturbative calculations of the physical gauge couplings on the heterotic side, we obtain multi-instanton and one-loop string corrections to the K\"ahler potential and the gauge kinetic function for these models. The non-perturbative corrections appear as sums over relevant Hecke operators, whereas the one-loop correction to the K\"ahler potential matches the expression proposed in [1,2]. We argue that these corrections are universal in a given class of models where target-space modular invariance (or a subgroup of it) holds.
|
hep-th/0108079
|
Badis Ydri
|
Badis Ydri
|
Fuzzy Non-Trivial Gauge Configurations
|
9 pages . Talk delivered in the MRST 2001 conference, University of
Western Ontario, London, Ontario . To be published in the conference
proceedings
| null |
10.1063/1.1435489
| null |
hep-th
| null |
In this talk we will report on few results of discrete physics on the fuzzy
sphere . In particular non-trivial field configurations such as monopoles and
solitons are constructed on fuzzy ${\bf S}^2$ using the language of K-theory,
i.e projectors . As we will show, these configurations are intrinsically finite
dimensional matrix models . The corresponding monopole charges and soliton
winding numbers are also found using the formalism of noncommutative geometry
and cyclic cohomology .
|
[
{
"created": "Sat, 11 Aug 2001 22:18:33 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Ydri",
"Badis",
""
]
] |
In this talk we will report on few results of discrete physics on the fuzzy sphere . In particular non-trivial field configurations such as monopoles and solitons are constructed on fuzzy ${\bf S}^2$ using the language of K-theory, i.e projectors . As we will show, these configurations are intrinsically finite dimensional matrix models . The corresponding monopole charges and soliton winding numbers are also found using the formalism of noncommutative geometry and cyclic cohomology .
|
2109.13154
|
Ermis Mitsou
|
Ermis Mitsou and Jaiyul Yoo
|
The spatial gauge-dependence of single-field inflationary bispectra
|
7 pages, matches published version
|
Phys.Lett.B 828 (2022) 137018
|
10.1016/j.physletb.2022.137018
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In single-field inflationary models the bispectra are usually given in the
$\zeta$-gauge, because its temporal part leads to the super-horizon
conservation of fluctuations. However, this property is independent of the
choice of {\it spatial} gauge, so in this letter we explore this freedom. We
compute the variation of the bispectra under the most general spatial gauge
transformation that is globally defined and privileges no point, direction or
scale. In the squeezed configuration we then obtain a generalization of the
classic $\zeta$-gauge consistency relations, which we also derive through the
`large diffeomorphism' approach for all four bispectra. At leading order in the
long wave-number the transformation only affects the case where the long mode
is a scalar. The first effect is a shift of the tilt factor, so that one can
significantly reduce the amplitude of that contribution. Secondly, there is now
an extra term depending on the triangle shape, the same as in solid inflation,
which is due to the fact that the 3-metric has a scalar anisotropy in generic
spatial gauge. At next-to-leading order there is no variation, so the conformal
consistency relations of the $\zeta$-gauge are preserved.
|
[
{
"created": "Mon, 27 Sep 2021 16:08:43 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2022 12:42:00 GMT",
"version": "v2"
}
] |
2022-03-23
|
[
[
"Mitsou",
"Ermis",
""
],
[
"Yoo",
"Jaiyul",
""
]
] |
In single-field inflationary models the bispectra are usually given in the $\zeta$-gauge, because its temporal part leads to the super-horizon conservation of fluctuations. However, this property is independent of the choice of {\it spatial} gauge, so in this letter we explore this freedom. We compute the variation of the bispectra under the most general spatial gauge transformation that is globally defined and privileges no point, direction or scale. In the squeezed configuration we then obtain a generalization of the classic $\zeta$-gauge consistency relations, which we also derive through the `large diffeomorphism' approach for all four bispectra. At leading order in the long wave-number the transformation only affects the case where the long mode is a scalar. The first effect is a shift of the tilt factor, so that one can significantly reduce the amplitude of that contribution. Secondly, there is now an extra term depending on the triangle shape, the same as in solid inflation, which is due to the fact that the 3-metric has a scalar anisotropy in generic spatial gauge. At next-to-leading order there is no variation, so the conformal consistency relations of the $\zeta$-gauge are preserved.
|
2403.17604
|
Job Furtado Neto
|
R. Darlla, \"O. Ye\c{s}ilta\c{s}, J. Furtado
|
Massless fermions in black string spacetime
|
5 pages, two columns, 1 figure
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we investigate the behaviour of massless fermions in the black
string spacetime by computing the eigenvalues and eigenfunctions of the Weyl
equations. These solutions allowed us to study the behaviour of such massless
fermions in terms of the cosmological constant, the black string's mass and the
radial distance of the particle from the black string. The solutions, written
in terms of Parabolic Cylinder functions and Laguerre polynomials, were
obtained for a particle far from the black string and around the horizon event.
For the particle around the event horizon, for all configuration of parameters,
the energy eigenvalues are complex-valued, indicating QNM similarly to the case
of spherical black holes. For the particle far from the black string, the
energies derived from the Weyl equation set up conditions on the parameters in
order to keep the energy as a real valued parameter.
|
[
{
"created": "Tue, 26 Mar 2024 11:30:25 GMT",
"version": "v1"
}
] |
2024-03-27
|
[
[
"Darlla",
"R.",
""
],
[
"Yeşiltaş",
"Ö.",
""
],
[
"Furtado",
"J.",
""
]
] |
In this paper we investigate the behaviour of massless fermions in the black string spacetime by computing the eigenvalues and eigenfunctions of the Weyl equations. These solutions allowed us to study the behaviour of such massless fermions in terms of the cosmological constant, the black string's mass and the radial distance of the particle from the black string. The solutions, written in terms of Parabolic Cylinder functions and Laguerre polynomials, were obtained for a particle far from the black string and around the horizon event. For the particle around the event horizon, for all configuration of parameters, the energy eigenvalues are complex-valued, indicating QNM similarly to the case of spherical black holes. For the particle far from the black string, the energies derived from the Weyl equation set up conditions on the parameters in order to keep the energy as a real valued parameter.
|
hep-th/9803223
|
Luiz Claudio Marques Albuquerque
|
Luiz C. de Albuquerque (University of Sao Paulo)
|
Renormalization Ambiguities in Casimir Energy
|
16 pages, Latex
| null | null | null |
hep-th
| null |
Some questions were recently raised about the equivalence of two methods
commonly used to compute the Casimir energy: the mode summation approach and
the one-loop effective potential. In this respect, we argue that the scale
dependence induced by renormalization effects, displayed by the effective
potential approach, also appears in the MS method.
|
[
{
"created": "Thu, 26 Mar 1998 20:10:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"de Albuquerque",
"Luiz C.",
"",
"University of Sao Paulo"
]
] |
Some questions were recently raised about the equivalence of two methods commonly used to compute the Casimir energy: the mode summation approach and the one-loop effective potential. In this respect, we argue that the scale dependence induced by renormalization effects, displayed by the effective potential approach, also appears in the MS method.
|
hep-th/9908185
|
Christoph Schweigert
|
B. Pedrini, C. Schweigert, J. Walcher
|
New maverick coset theories
|
6 pages, LaTeX2e
|
Phys.Lett. B466 (1999) 206-210
|
10.1016/S0370-2693(99)01115-6
|
ETH-TH/99-21
|
hep-th
| null |
We present new examples of maverick coset conformal field theories. They are
closely related to conformal embeddings and exceptional modular invariants.
|
[
{
"created": "Fri, 27 Aug 1999 20:44:44 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Pedrini",
"B.",
""
],
[
"Schweigert",
"C.",
""
],
[
"Walcher",
"J.",
""
]
] |
We present new examples of maverick coset conformal field theories. They are closely related to conformal embeddings and exceptional modular invariants.
|
hep-th/0503033
|
Norisuke Sakai
|
Minoru Eto, Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Kazutoshi
Ohta, Norisuke Sakai and Yuji Tachikawa
|
Global Structure of Moduli Space for BPS Walls
|
42 pages, 11 figures; a few comments added
|
Phys.Rev. D71 (2005) 105009
|
10.1103/PhysRevD.71.105009
|
TIT/HEP-535, RIKEN-TH-38, UT-05-03
|
hep-th
| null |
We study the global structure of the moduli space of BPS walls in the Higgs
branch of supersymmetric theories with eight supercharges. We examine the
structure in the neighborhood of a special Lagrangian submanifold M, and find
that the dimension of the moduli space can be larger than that naively
suggested by the index theorem, contrary to previous examples of BPS solitons.
We investigate BPS wall solutions in an explicit example of M using Abelian
gauge theory. Its Higgs branch turns out to contain several special Lagrangian
submanifolds including M. We show that the total moduli space of BPS walls is
the union of these submanifolds. We also find interesting dynamics between BPS
walls as a byproduct of the analysis. Namely, mutual repulsion and attraction
between BPS walls sometimes forbid a movement of a wall and lock it in a
certain position; we also find that a pair of walls can transmute to another
pair of walls with different tension after they pass through.
|
[
{
"created": "Fri, 4 Mar 2005 11:13:14 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Mar 2005 06:23:41 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Eto",
"Minoru",
""
],
[
"Isozumi",
"Youichi",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Ohta",
"Kazutoshi",
""
],
[
"Sakai",
"Norisuke",
""
],
[
"Tachikawa",
"Yuji",
""
]
] |
We study the global structure of the moduli space of BPS walls in the Higgs branch of supersymmetric theories with eight supercharges. We examine the structure in the neighborhood of a special Lagrangian submanifold M, and find that the dimension of the moduli space can be larger than that naively suggested by the index theorem, contrary to previous examples of BPS solitons. We investigate BPS wall solutions in an explicit example of M using Abelian gauge theory. Its Higgs branch turns out to contain several special Lagrangian submanifolds including M. We show that the total moduli space of BPS walls is the union of these submanifolds. We also find interesting dynamics between BPS walls as a byproduct of the analysis. Namely, mutual repulsion and attraction between BPS walls sometimes forbid a movement of a wall and lock it in a certain position; we also find that a pair of walls can transmute to another pair of walls with different tension after they pass through.
|
1009.0879
|
Z Yune
|
Werner Israel and Zinkoo Yun
|
Band-aid for information loss from black holes
| null |
Phys.Rev.D82:124036,2010
|
10.1103/PhysRevD.82.124036
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We summarize, simplify and extend recent work showing that small deviations
from exact thermality in Hawking radiation, first uncovered by Kraus and
Wilczek, have the capacity to carry off the maximum information content of a
black hole. This goes a considerable way toward resolving a long-standing
"information-loss paradox".
|
[
{
"created": "Sat, 4 Sep 2010 22:46:17 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 10:12:12 GMT",
"version": "v2"
}
] |
2011-01-17
|
[
[
"Israel",
"Werner",
""
],
[
"Yun",
"Zinkoo",
""
]
] |
We summarize, simplify and extend recent work showing that small deviations from exact thermality in Hawking radiation, first uncovered by Kraus and Wilczek, have the capacity to carry off the maximum information content of a black hole. This goes a considerable way toward resolving a long-standing "information-loss paradox".
|
1505.06745
|
Shota Komatsu
|
Benjamin Basso, Shota Komatsu, Pedro Vieira
|
Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
|
13 pages + several appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a non-perturbative framework for computing structure constants
of single-trace operators in the N=4 SYM theory at large N. Our approach
features new vertices, with hexagonal shape, that can be patched together into
three- and possibly higher-point correlators. These newborn hexagons are more
elementary and easier to deal with than the three-point functions. Moreover,
they can be entirely constructed using integrability, by means of a suitable
bootstrap program. In this letter, we present our main results and conjectures
for these vertices, and match their predictions for the three-point functions
with both weak and strong coupling data available in the literature.
|
[
{
"created": "Mon, 25 May 2015 20:02:26 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Basso",
"Benjamin",
""
],
[
"Komatsu",
"Shota",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We introduce a non-perturbative framework for computing structure constants of single-trace operators in the N=4 SYM theory at large N. Our approach features new vertices, with hexagonal shape, that can be patched together into three- and possibly higher-point correlators. These newborn hexagons are more elementary and easier to deal with than the three-point functions. Moreover, they can be entirely constructed using integrability, by means of a suitable bootstrap program. In this letter, we present our main results and conjectures for these vertices, and match their predictions for the three-point functions with both weak and strong coupling data available in the literature.
|
hep-th/9608145
|
Gregory Moore
|
M. Henningson and G. Moore
|
Threshhold Corrections in $K3\times T2$ Heterotic String
Compactifications
|
26pp. harvmac b mode
|
Nucl.Phys. B482 (1996) 187-212
|
10.1016/S0550-3213(96)00549-4
|
Yale preprint YCTP-P12/96
|
hep-th
| null |
We consider compactifications of the heterotic string on $K3 \times T2$ so
that the resulting theory in $d = 4$ space-time dimensions has $N = 2$
supersymmetry. The gravitational and gauge coupling constants of the low-energy
effective theory receive threshold corrections from loops of super-heavy string
states. We calculate these corrections for the case when the $K3$-surface is a
${\bf Z}_n$ orbifold of a four torus $T4$. The results are used to determine
the one-loop prepotential ${\cal F}_0^{(1)}$ for the vector multiplets and the
gravitational coupling ${\cal F}_1^{(1)}$.
|
[
{
"created": "Wed, 21 Aug 1996 16:25:20 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Henningson",
"M.",
""
],
[
"Moore",
"G.",
""
]
] |
We consider compactifications of the heterotic string on $K3 \times T2$ so that the resulting theory in $d = 4$ space-time dimensions has $N = 2$ supersymmetry. The gravitational and gauge coupling constants of the low-energy effective theory receive threshold corrections from loops of super-heavy string states. We calculate these corrections for the case when the $K3$-surface is a ${\bf Z}_n$ orbifold of a four torus $T4$. The results are used to determine the one-loop prepotential ${\cal F}_0^{(1)}$ for the vector multiplets and the gravitational coupling ${\cal F}_1^{(1)}$.
|
1811.03556
|
Piotr Sulkowski
|
Mi{\l}osz Panfil, Piotr Su{\l}kowski
|
Topological strings, strips and quivers
|
47 pages, 9 figures
|
JHEP 124 (2019)
|
10.1007/JHEP01(2019)124
|
CALT-2018-047
|
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a direct relation between quiver representation theory and open
topological string theory on a class of toric Calabi-Yau manifolds without
compact four-cycles, also referred to as strip geometries. We show that various
quantities that characterize open topological string theory on these manifolds,
such as partition functions, Gromov-Witten invariants, or open BPS invariants,
can be expressed in terms of characteristics of the moduli space of
representations of the corresponding quiver. This has various deep
consequences; in particular, expressing open BPS invariants in terms of motivic
Donaldson-Thomas invariants, immediately proves integrality of the former ones.
Taking advantage of the relation to quivers we also derive explicit expressions
for classical open BPS invariants for an arbitrary strip geometry, which lead
to a large set of number theoretic integrality statements. Furthermore, for a
specific framing, open topological string partition functions for strip
geometries take form of generalized $q$-hypergeometric functions, which leads
to a novel representation of these functions in terms of quantum dilogarithms
and integral invariants. We also study quantum curves and A-polynomials
associated to quivers, various limits thereof, and their specializations
relevant for strip geometries. The relation between toric manifolds and quivers
can be regarded as a generalization of the knots-quivers correspondence to more
general Calabi-Yau geometries.
|
[
{
"created": "Thu, 8 Nov 2018 17:18:58 GMT",
"version": "v1"
}
] |
2020-05-25
|
[
[
"Panfil",
"Miłosz",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
We find a direct relation between quiver representation theory and open topological string theory on a class of toric Calabi-Yau manifolds without compact four-cycles, also referred to as strip geometries. We show that various quantities that characterize open topological string theory on these manifolds, such as partition functions, Gromov-Witten invariants, or open BPS invariants, can be expressed in terms of characteristics of the moduli space of representations of the corresponding quiver. This has various deep consequences; in particular, expressing open BPS invariants in terms of motivic Donaldson-Thomas invariants, immediately proves integrality of the former ones. Taking advantage of the relation to quivers we also derive explicit expressions for classical open BPS invariants for an arbitrary strip geometry, which lead to a large set of number theoretic integrality statements. Furthermore, for a specific framing, open topological string partition functions for strip geometries take form of generalized $q$-hypergeometric functions, which leads to a novel representation of these functions in terms of quantum dilogarithms and integral invariants. We also study quantum curves and A-polynomials associated to quivers, various limits thereof, and their specializations relevant for strip geometries. The relation between toric manifolds and quivers can be regarded as a generalization of the knots-quivers correspondence to more general Calabi-Yau geometries.
|
hep-th/9311111
|
Hsato
|
H.-T. Sato
|
Landau Levels and Quantum Group
|
(revised version), 10 pages, OS-GE-36-93
|
Mod.Phys.Lett. A9 (1994) 451-458
|
10.1142/S0217732394000472
| null |
hep-th
| null |
We find a quantum group structure in two-dimensional motions of a
nonrelativistic electron in a uniform magnetic field and in a periodic
potential. The representation basis of the quantum algebra is composed of
wavefunctions of the system. The quantum group symmetry commutes with the
Hamiltonian and is relevant to the Landau level degeneracy. The deformation
parameter $q$ of the quantum algebra turns out to be given by the fractional
filling factor $\nu=1/m$ ($m$ odd integer).
|
[
{
"created": "Fri, 19 Nov 1993 02:43:19 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Sato",
"H. -T.",
""
]
] |
We find a quantum group structure in two-dimensional motions of a nonrelativistic electron in a uniform magnetic field and in a periodic potential. The representation basis of the quantum algebra is composed of wavefunctions of the system. The quantum group symmetry commutes with the Hamiltonian and is relevant to the Landau level degeneracy. The deformation parameter $q$ of the quantum algebra turns out to be given by the fractional filling factor $\nu=1/m$ ($m$ odd integer).
|
2012.07733
|
Edoardo Lauria El
|
Lorenzo Di Pietro, Edoardo Lauria, Pierluigi Niro
|
3d Large $N$ Vector Models at the Boundary
|
49 pages, v3: minor changes
|
SciPost Phys. 11, 050 (2021)
|
10.21468/SciPostPhys.11.3.050
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a 4d scalar field coupled to large $N$ free or critical $O(N)$
vector models, either bosonic or fermionic, on a 3d boundary. We compute the
$\beta$ function of the classically marginal bulk/boundary interaction at the
first non-trivial order in the large $N$ expansion and exactly in the coupling.
Starting with the free (critical) vector model at weak coupling, we find a
fixed point at infinite coupling in which the boundary theory is the critical
(free) vector model and the bulk decouples. We show that a strong/weak duality
relates one description of the renormalization group flow to another one in
which the free and the critical vector models are exchanged. We then consider
the theory with an additional Maxwell field in the bulk, which also gives
decoupling limits with gauged vector models on the boundary.
|
[
{
"created": "Mon, 14 Dec 2020 17:30:46 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jan 2021 21:10:03 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Jul 2021 13:42:50 GMT",
"version": "v3"
}
] |
2021-09-08
|
[
[
"Di Pietro",
"Lorenzo",
""
],
[
"Lauria",
"Edoardo",
""
],
[
"Niro",
"Pierluigi",
""
]
] |
We consider a 4d scalar field coupled to large $N$ free or critical $O(N)$ vector models, either bosonic or fermionic, on a 3d boundary. We compute the $\beta$ function of the classically marginal bulk/boundary interaction at the first non-trivial order in the large $N$ expansion and exactly in the coupling. Starting with the free (critical) vector model at weak coupling, we find a fixed point at infinite coupling in which the boundary theory is the critical (free) vector model and the bulk decouples. We show that a strong/weak duality relates one description of the renormalization group flow to another one in which the free and the critical vector models are exchanged. We then consider the theory with an additional Maxwell field in the bulk, which also gives decoupling limits with gauged vector models on the boundary.
|
1505.01387
|
Jos\'e Eduardo Rosales Quintero Dr.
|
J.E. Rosales-Quintero
|
Anti-self-dual gravity and supergravity from a pure connection
formulation
| null | null |
10.1142/S0217751X16500640
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a complex pure connection action with constraints which is
diffeomorphism and gauge invariant. Taking as an internal group $SU(2)$, we
obtain, from the equations of motion, anti-self-dual Einstein spaces together
with the zero torsion condition thanks to Bianchi identity. By applying the
same procedure, we take as internal symmetry the super group $OSp(1|2)$ and by
means of the Bianchi identity and integrability conditions, the equations of
motion are those that come from anti-self-dual supergravity $N=1$ with
cosmological constant sector.
|
[
{
"created": "Wed, 6 May 2015 15:06:48 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 00:01:43 GMT",
"version": "v2"
}
] |
2016-05-25
|
[
[
"Rosales-Quintero",
"J. E.",
""
]
] |
We introduce a complex pure connection action with constraints which is diffeomorphism and gauge invariant. Taking as an internal group $SU(2)$, we obtain, from the equations of motion, anti-self-dual Einstein spaces together with the zero torsion condition thanks to Bianchi identity. By applying the same procedure, we take as internal symmetry the super group $OSp(1|2)$ and by means of the Bianchi identity and integrability conditions, the equations of motion are those that come from anti-self-dual supergravity $N=1$ with cosmological constant sector.
|
hep-th/9212100
|
Timothy Hollowood
|
Timothy J. Hollowood and J. Luis Miramontes
|
New Topological Theories and Conjugacy Classes of the Weyl Group
|
19 pages
|
Nucl.Phys. B409 (1993) 465-486
|
10.1016/0550-3213(93)90589-H
|
CERN-TH-6758/92
|
hep-th
| null |
The problem of interpreting a set of ${\cal W}$-algebra constraints
constructed in terms of an arbitrarily twisted scalar field as the recursion
relations of a topological theory is addressed. In this picture, the
conventional models of topological gravity coupled to $A$, $D$ or $E$
topological matter, correspond to taking the scalar field twisted by the
Coxeter element of the Weyl group. It turns out that not all conjugacy classes
of the Weyl group lead to a topological model. For example, it is shown that
for the $A$ algebras there are two possible choices for the conjugacy class,
giving both the conventional and a new series of topological models.
Furthermore, it is shown how the new series of theories contains the
conventional series as a subsector. A tentative interpretation of this new
series in terms of intersection theory is presented.
|
[
{
"created": "Wed, 16 Dec 1992 15:22:24 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] |
The problem of interpreting a set of ${\cal W}$-algebra constraints constructed in terms of an arbitrarily twisted scalar field as the recursion relations of a topological theory is addressed. In this picture, the conventional models of topological gravity coupled to $A$, $D$ or $E$ topological matter, correspond to taking the scalar field twisted by the Coxeter element of the Weyl group. It turns out that not all conjugacy classes of the Weyl group lead to a topological model. For example, it is shown that for the $A$ algebras there are two possible choices for the conjugacy class, giving both the conventional and a new series of topological models. Furthermore, it is shown how the new series of theories contains the conventional series as a subsector. A tentative interpretation of this new series in terms of intersection theory is presented.
|
1609.06580
|
Sunandan Gangopadhyay
|
Aslam Halder, Sunandan Gangopadhyay
|
Thermodynamics of a charged particle in a noncommutative plane in a
background magnetic field
|
14 pages Latex. arXiv admin note: text overlap with arXiv:1602.06279
| null |
10.1007/s10773-017-3328-4
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Landau system in noncommutative space has been considered. To take into
account the issue of gauge invariance in noncommutative space, we incorporate
the Seiberg-Witten map in our analysis. Generalised Bopp-shift transformation
is then used to map the noncommutative system to its commutative equivalent
system. In particular we have computed the partition function of the system and
from this we obtained the susceptibility of the Landau system and found that
the result gets modified by the spatial noncommutative parameter $\theta$. We
also investigate the de Hass--van Alphen effect in noncommutative space and
observe that the oscillation of the magnetization and the susceptibility gets
noncommutative corrections. Interestingly, the susceptibility in the
noncommutative scenario is non-zero in the range of the magnetic field greater
than the threshold value which is in contrast to its commutative counterpart.
The results obtained are valid upto all orders in the noncommutative parameter
$\theta$.
|
[
{
"created": "Mon, 12 Sep 2016 06:39:41 GMT",
"version": "v1"
}
] |
2017-04-05
|
[
[
"Halder",
"Aslam",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
Landau system in noncommutative space has been considered. To take into account the issue of gauge invariance in noncommutative space, we incorporate the Seiberg-Witten map in our analysis. Generalised Bopp-shift transformation is then used to map the noncommutative system to its commutative equivalent system. In particular we have computed the partition function of the system and from this we obtained the susceptibility of the Landau system and found that the result gets modified by the spatial noncommutative parameter $\theta$. We also investigate the de Hass--van Alphen effect in noncommutative space and observe that the oscillation of the magnetization and the susceptibility gets noncommutative corrections. Interestingly, the susceptibility in the noncommutative scenario is non-zero in the range of the magnetic field greater than the threshold value which is in contrast to its commutative counterpart. The results obtained are valid upto all orders in the noncommutative parameter $\theta$.
|
2307.15900
|
Kanhu Kishore Nanda
|
Kanhu Kishore Nanda, Sunil Kumar Sake, Sandip P. Trivedi
|
JT Gravity in de Sitter Space and the Problem of Time
|
78 pages, 5 figures, v2: Minor modifications made. One new appendix
added and one appendix enlarged. New references and minor comments added
| null |
10.1007/JHEP02(2024)145
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the canonical quantisation of JT gravity in de Sitter space,
following earlier work by Henneaux, with particular attention to the problem of
time. Choosing the dilaton as the physical clock, we define a norm and operator
expectation values for states and explore the classical limit. We find that
requiring a conserved and finite norm and well-defined expectation values for
operators imposes significant restrictions on states, as does the requirement
of a classical limit. However, these requirements can all be met, with the
dilaton providing a satisfactory physical clock. We construct several examples
and analyse them in detail. We find that in fact an infinite number of states
exist which meet the various conditions mentioned above.
|
[
{
"created": "Sat, 29 Jul 2023 06:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2024 03:04:02 GMT",
"version": "v2"
}
] |
2024-02-28
|
[
[
"Nanda",
"Kanhu Kishore",
""
],
[
"Sake",
"Sunil Kumar",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] |
We discuss the canonical quantisation of JT gravity in de Sitter space, following earlier work by Henneaux, with particular attention to the problem of time. Choosing the dilaton as the physical clock, we define a norm and operator expectation values for states and explore the classical limit. We find that requiring a conserved and finite norm and well-defined expectation values for operators imposes significant restrictions on states, as does the requirement of a classical limit. However, these requirements can all be met, with the dilaton providing a satisfactory physical clock. We construct several examples and analyse them in detail. We find that in fact an infinite number of states exist which meet the various conditions mentioned above.
|
hep-th/0102084
|
Takeshi Sato
|
Takeshi Sato
|
On M-9-branes and their dimensional reductions
|
6 pages, Latex. Contribution to the proceedings of the D.V.Volkov's
memorial conference ``Supersymmetry and Quantum Field Theory'',Kharkov,July
25-29,2000, to be published in Nuclear Physics B Conference Supplements
|
Nucl.Phys.Proc.Suppl. 102 (2001) 107-112
|
10.1016/S0920-5632(01)01544-4
| null |
hep-th
| null |
The M-9-brane Wess-Zumino action is constructed, and by using it, consistency
of the relation of p-branes for $p \ge 8$, suggested on the basis of
superalgebra, is discussed.
|
[
{
"created": "Thu, 15 Feb 2001 07:28:25 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Sato",
"Takeshi",
""
]
] |
The M-9-brane Wess-Zumino action is constructed, and by using it, consistency of the relation of p-branes for $p \ge 8$, suggested on the basis of superalgebra, is discussed.
|
1312.0739
|
Itzhak Bars
|
Itzhak Bars, Paul Steinhardt, Neil Turok
|
Sailing through the big crunch-big bang transition
|
3 pages, 1 figure. In version v2 the last three paragraphs include a
response to the Note added to Ref. 18
|
Phys. Rev. D 89, 061302 (2014)
|
10.1103/PhysRevD.89.061302
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a recent series of papers, we have shown that theories with scalar fields
coupled to gravity (e.g., the standard model) can be lifted to a Weyl-invariant
equivalent theory in which it is possible to unambiguously trace the classical
cosmological evolution through the transition from big crunch to big bang. The
key was identifying a sufficient number of finite, Weyl-invariant conserved
quantities to uniquely match the fundamental cosmological degrees of freedom
across the transition. In so doing we had to account for the well-known fact
that many Weyl-invariant quantities diverge at the crunch and bang. Recently,
some authors rediscovered a few of these divergences and concluded based on
their existence alone that the theories cannot be geodesically complete. In
this note, we show that this conclusion is invalid. Using conserved quantities
we explicitly construct the complete set of geodesics and show that they pass
continuously through the big crunch-big bang transition.
|
[
{
"created": "Tue, 3 Dec 2013 09:07:28 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Feb 2014 02:32:51 GMT",
"version": "v2"
}
] |
2014-03-12
|
[
[
"Bars",
"Itzhak",
""
],
[
"Steinhardt",
"Paul",
""
],
[
"Turok",
"Neil",
""
]
] |
In a recent series of papers, we have shown that theories with scalar fields coupled to gravity (e.g., the standard model) can be lifted to a Weyl-invariant equivalent theory in which it is possible to unambiguously trace the classical cosmological evolution through the transition from big crunch to big bang. The key was identifying a sufficient number of finite, Weyl-invariant conserved quantities to uniquely match the fundamental cosmological degrees of freedom across the transition. In so doing we had to account for the well-known fact that many Weyl-invariant quantities diverge at the crunch and bang. Recently, some authors rediscovered a few of these divergences and concluded based on their existence alone that the theories cannot be geodesically complete. In this note, we show that this conclusion is invalid. Using conserved quantities we explicitly construct the complete set of geodesics and show that they pass continuously through the big crunch-big bang transition.
|
hep-th/9701192
|
Aleksei Mishchenko
|
Alexei Mishchenko (Bogolyubov Institute for Theoretical Physics)
|
On the braided Fock spaces
|
12 pages, LaTex209
|
Ukrainian Journal of Physics 41 (1996) 338-344
| null | null |
hep-th math.QA q-alg
| null |
Framework for constructing Fock spaces associated either with certain
solutions of the quantum Yang-Baxter equation or with infinite dimensional
Hecke algebra is presented. For the former case, the quantum deformed
oscillator algebra associated with the solution of the quantum Yang-Baxter
equation is found.
|
[
{
"created": "Thu, 30 Jan 1997 18:59:19 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Mishchenko",
"Alexei",
"",
"Bogolyubov Institute for Theoretical Physics"
]
] |
Framework for constructing Fock spaces associated either with certain solutions of the quantum Yang-Baxter equation or with infinite dimensional Hecke algebra is presented. For the former case, the quantum deformed oscillator algebra associated with the solution of the quantum Yang-Baxter equation is found.
|
hep-th/0611072
|
Motomu Tsuda
|
Kazunari Shima and Motomu Tsuda
|
On Origin of Mass and Supersymmetry
|
7 pages
|
Phys.Lett.B645:455-458,2007
|
10.1016/j.physletb.2006.12.067
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We show that the nonlinear supersymmetric general relativity gives new
insights into the origin of mass and elucidates the mysterious relations
between the cosmology and the (low energy) particle physics.
|
[
{
"created": "Tue, 7 Nov 2006 03:23:44 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Nov 2006 05:48:07 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] |
We show that the nonlinear supersymmetric general relativity gives new insights into the origin of mass and elucidates the mysterious relations between the cosmology and the (low energy) particle physics.
|
hep-th/0112126
|
Emiliano Imeroni
|
P. Di Vecchia, H. Enger, E. Imeroni and E. Lozano-Tellechea
|
Gauge theories from wrapped and fractional branes
|
AMS-LaTeX, 35 pages, no figures. Minor typos corrected, version to
appear in NPB
|
Nucl.Phys. B631 (2002) 95-127
|
10.1016/S0550-3213(02)00200-6
|
DFTT 34/2001, IFT-UAM/CSIC-01-39, NORDITA-2001-89 HE, OSLO-TP 7-01
|
hep-th
| null |
We compare two applications of the gauge/gravity correspondence to a non
conformal gauge theory, based respectively on the study of D-branes wrapped on
supersymmetric cycles and of fractional D-branes on orbifolds. We study two
brane systems whose geometry is dual to N=4, D=2+1 super Yang-Mills theory, the
first one describing D4-branes wrapped on a two-sphere inside a Calabi-Yau
two-fold and the second one corresponding to a system of fractional
D2/D6-branes on the orbifold R^4/Z_2. By probing both geometries we recover the
exact perturbative running coupling constant and metric on the moduli space of
the gauge theory. We also find a general expression for the running coupling
constant of the gauge theory in terms of the "stringy volume" of the two-cycle
which is involved in both types of brane systems.
|
[
{
"created": "Fri, 14 Dec 2001 16:31:15 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2002 09:56:22 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Di Vecchia",
"P.",
""
],
[
"Enger",
"H.",
""
],
[
"Imeroni",
"E.",
""
],
[
"Lozano-Tellechea",
"E.",
""
]
] |
We compare two applications of the gauge/gravity correspondence to a non conformal gauge theory, based respectively on the study of D-branes wrapped on supersymmetric cycles and of fractional D-branes on orbifolds. We study two brane systems whose geometry is dual to N=4, D=2+1 super Yang-Mills theory, the first one describing D4-branes wrapped on a two-sphere inside a Calabi-Yau two-fold and the second one corresponding to a system of fractional D2/D6-branes on the orbifold R^4/Z_2. By probing both geometries we recover the exact perturbative running coupling constant and metric on the moduli space of the gauge theory. We also find a general expression for the running coupling constant of the gauge theory in terms of the "stringy volume" of the two-cycle which is involved in both types of brane systems.
|
1711.09277
|
Alexei Morozov
|
A.Morozov
|
HOMFLY for twist knots and exclusive Racah matrices in representation
[333]
|
10 pages
|
Phys.Lett. B778 (2018) 426-434
|
10.1016/j.physletb.2018.01.062
|
ITEP/TH-33/17; IITP/TH-20/17
|
hep-th math-ph math.GR math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Next step is reported in the program of Racah matrices extraction from the
differential expansion of HOMFLY polynomials for twist knots: from the
double-column rectangular representations R=[rr] to a triple-column and
triple-hook R=[333]. The main new phenomenon is the deviation of the particular
coefficient $f_{[332]}^{[21]}$ from the corresponding skew dimension, what
opens a way to further generalizations.
|
[
{
"created": "Sat, 25 Nov 2017 20:00:43 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2017 12:53:55 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Feb 2019 13:07:54 GMT",
"version": "v3"
}
] |
2019-02-14
|
[
[
"Morozov",
"A.",
""
]
] |
Next step is reported in the program of Racah matrices extraction from the differential expansion of HOMFLY polynomials for twist knots: from the double-column rectangular representations R=[rr] to a triple-column and triple-hook R=[333]. The main new phenomenon is the deviation of the particular coefficient $f_{[332]}^{[21]}$ from the corresponding skew dimension, what opens a way to further generalizations.
|
2405.15937
|
Hajar Belmahi
|
A. Belhaj, H. Belmahi, A. Bouhouch, S. E. Ennadifi
|
On 5D Black Brane Stabilities from M-theory on Three Parameter
Calabi-Yau Threefolds
|
Comments: Latex, 27 pages, 13 figures, 5 tables. Added references and
fixed typos. Authors in alphabetical order
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we reconsider the study of 5D black branes in M-theory
compactifications by means of $\mathcal{N}=2$ supergravity formalism.
Precisely, we provide a model relaying on a three parameter Calabi-Yau manifold
in the $\mathbb{P}^{1}\times\mathbb{P}^{1}\times\mathbb{P}^{2}$ projective
space factorization, referred to as economical model. First, we investigate the
stability of 5D BPS and non-BPS black holes obtained from wrapped M2-branes on
non-holomorphic two-cycles in such a Calabi-Yau manifold. Then, we approach the
stability of 5D black strings derived from wrapped M5-branes on non-holomorphic
four-cycles. Among others, we find various stable and unstable black brane
solutions depending on the charge regions of the involved moduli space.
|
[
{
"created": "Fri, 24 May 2024 21:01:22 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2024 13:31:03 GMT",
"version": "v2"
}
] |
2024-06-04
|
[
[
"Belhaj",
"A.",
""
],
[
"Belmahi",
"H.",
""
],
[
"Bouhouch",
"A.",
""
],
[
"Ennadifi",
"S. E.",
""
]
] |
In this work, we reconsider the study of 5D black branes in M-theory compactifications by means of $\mathcal{N}=2$ supergravity formalism. Precisely, we provide a model relaying on a three parameter Calabi-Yau manifold in the $\mathbb{P}^{1}\times\mathbb{P}^{1}\times\mathbb{P}^{2}$ projective space factorization, referred to as economical model. First, we investigate the stability of 5D BPS and non-BPS black holes obtained from wrapped M2-branes on non-holomorphic two-cycles in such a Calabi-Yau manifold. Then, we approach the stability of 5D black strings derived from wrapped M5-branes on non-holomorphic four-cycles. Among others, we find various stable and unstable black brane solutions depending on the charge regions of the involved moduli space.
|
2106.12171
|
Haridev S R
|
S. R. Haridev, Prasant Samantray
|
Revisiting Vacuum Energy in Compact Spacetimes
|
10 Pages, 7 Figures
| null |
10.1016/j.physletb.2022.137489
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit the calculation of vacuum energy density in compact spacetimes.
For the general case of $k$ compact spatial dimensions in $p+k$ dimensional
Minkowski spacetime, we calculate the Casimir force on a piston placed in the
presence of external electromagnetic fields. We observe that while the presence
of a strong external magnetic field reduces the intensity of the Casimir force,
the presence of an electric field enhances it instead. We discuss various
physical cases, and also derive the particle production rate in the presence of
such external fields in compact spacetimes. We observe that the pair production
rate is enhanced in the presence of a piston.
|
[
{
"created": "Wed, 23 Jun 2021 05:45:36 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jul 2021 08:18:53 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Apr 2022 17:16:54 GMT",
"version": "v3"
}
] |
2022-10-12
|
[
[
"Haridev",
"S. R.",
""
],
[
"Samantray",
"Prasant",
""
]
] |
We revisit the calculation of vacuum energy density in compact spacetimes. For the general case of $k$ compact spatial dimensions in $p+k$ dimensional Minkowski spacetime, we calculate the Casimir force on a piston placed in the presence of external electromagnetic fields. We observe that while the presence of a strong external magnetic field reduces the intensity of the Casimir force, the presence of an electric field enhances it instead. We discuss various physical cases, and also derive the particle production rate in the presence of such external fields in compact spacetimes. We observe that the pair production rate is enhanced in the presence of a piston.
|
0906.3116
|
Christian Hillmann
|
Thibault Damour, Christian Hillmann
|
Fermionic Kac-Moody Billiards and Supergravity
|
55 pages
|
JHEP 0908:100,2009
|
10.1088/1126-6708/2009/08/100
|
IHES/P/09/31
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the "fermionic billiards", i.e. the chaotic dynamics of the
gravitino, that arise in the near-spacelike-singularity limit of
eleven-dimensional supergravity and of its dimensional truncations (notably
four-dimensional simple supergravity). By exploiting the gravity-coset
correspondence, we show that the billiard dynamics of the gravitino is
described by a `spin extension' of the E(10) Weyl group, namely as a product of
90 degree `vector-spinor rotations' along certain simple-root-related
generators of the maximal compact subalgebra K(E(10)) of the hyperbolic
Kac--Moody algebra E(10). The `super-billiard' that combines the bosonic and
fermionic billiards is found to have a remarkably simple structure, which
exhibits a striking analogy with a polarized photon propagating in the
ten-dimensional Lorentzian Weyl chamber of E(10).
|
[
{
"created": "Wed, 17 Jun 2009 13:42:11 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2009 16:59:09 GMT",
"version": "v2"
}
] |
2009-12-01
|
[
[
"Damour",
"Thibault",
""
],
[
"Hillmann",
"Christian",
""
]
] |
We study the "fermionic billiards", i.e. the chaotic dynamics of the gravitino, that arise in the near-spacelike-singularity limit of eleven-dimensional supergravity and of its dimensional truncations (notably four-dimensional simple supergravity). By exploiting the gravity-coset correspondence, we show that the billiard dynamics of the gravitino is described by a `spin extension' of the E(10) Weyl group, namely as a product of 90 degree `vector-spinor rotations' along certain simple-root-related generators of the maximal compact subalgebra K(E(10)) of the hyperbolic Kac--Moody algebra E(10). The `super-billiard' that combines the bosonic and fermionic billiards is found to have a remarkably simple structure, which exhibits a striking analogy with a polarized photon propagating in the ten-dimensional Lorentzian Weyl chamber of E(10).
|
0810.4127
|
Alin Tirziu
|
M. Beccaria and A. Tirziu
|
On the short string limit of the folded spinning string in AdS5 x S5
|
24 pages, v2: minor changes, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we generalize the results of arXiv:0806.4758 to non-zero value
J of angular momentum in S^5. We compute the 1-loop correction to the energy of
the folded spinning string in AdS_5 x S^5 in the particular limit of slow short
string approximation. In this limit the string is moving in a near-flat central
region of AdS_5 slowly rotating in both AdS_5 and S^5. The one-loop correction
should represent the first subleading correction to strong coupling expansion
of the anomalous dimension of short gauge theory operators of the form Tr D^S
Z^J in the SL(2) sector.
|
[
{
"created": "Wed, 22 Oct 2008 17:55:30 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Oct 2008 15:35:44 GMT",
"version": "v2"
}
] |
2008-10-23
|
[
[
"Beccaria",
"M.",
""
],
[
"Tirziu",
"A.",
""
]
] |
In this paper we generalize the results of arXiv:0806.4758 to non-zero value J of angular momentum in S^5. We compute the 1-loop correction to the energy of the folded spinning string in AdS_5 x S^5 in the particular limit of slow short string approximation. In this limit the string is moving in a near-flat central region of AdS_5 slowly rotating in both AdS_5 and S^5. The one-loop correction should represent the first subleading correction to strong coupling expansion of the anomalous dimension of short gauge theory operators of the form Tr D^S Z^J in the SL(2) sector.
|
hep-th/0404094
|
Stefan Groot Nibbelink
|
Emilian Dudas, Tony Gherghetta, Stefan Groot Nibbelink
|
Vector/tensor duality in the five dimensional supersymmetric
Green-Schwarz mechanism
|
1+35 pages, LaTeX, 1 figure, references added, typos corrected
|
Phys.Rev.D70:086012,2004
|
10.1103/PhysRevD.70.086012
|
CPHT RR 010.0304, LPT-ORSAY 04-28, FTPI-MINN-04/12, UMN-TH-2301/04
|
hep-th hep-ph
| null |
The five dimensional version of the Green-Schwarz mechanism can be invoked to
cancel U(1) anomalies on the boundaries of brane world models. In five
dimensions there are two dual descriptions that employ either a two-form tensor
field or a vector field. We present the supersymmetric extensions of these dual
theories using four dimensional N=1 superspace. For the supersymmetrization of
the five dimensional Chern-Simons three form this requires the introduction of
a new chiral Chern-Simons multiplet. We derive the supersymmetric vector/tensor
duality relations and show that not only is the usual one/two-form duality
modified, but that there is also an interesting duality relation between the
scalar components. Furthermore, the vector formulation always contains singular
boundary mass terms which are absent in the tensor formulation. This apparent
inconsistency is resolved by showing that in either formulation the four
dimensional anomalous U(1) mass spectrum is identical, with the lowest lying
Kaluza-Klein mode generically obtaining a finite nonzero mass.
|
[
{
"created": "Wed, 14 Apr 2004 01:06:42 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jul 2004 14:07:17 GMT",
"version": "v2"
}
] |
2011-10-11
|
[
[
"Dudas",
"Emilian",
""
],
[
"Gherghetta",
"Tony",
""
],
[
"Nibbelink",
"Stefan Groot",
""
]
] |
The five dimensional version of the Green-Schwarz mechanism can be invoked to cancel U(1) anomalies on the boundaries of brane world models. In five dimensions there are two dual descriptions that employ either a two-form tensor field or a vector field. We present the supersymmetric extensions of these dual theories using four dimensional N=1 superspace. For the supersymmetrization of the five dimensional Chern-Simons three form this requires the introduction of a new chiral Chern-Simons multiplet. We derive the supersymmetric vector/tensor duality relations and show that not only is the usual one/two-form duality modified, but that there is also an interesting duality relation between the scalar components. Furthermore, the vector formulation always contains singular boundary mass terms which are absent in the tensor formulation. This apparent inconsistency is resolved by showing that in either formulation the four dimensional anomalous U(1) mass spectrum is identical, with the lowest lying Kaluza-Klein mode generically obtaining a finite nonzero mass.
|
1205.4962
|
Peter K.F. Kuhfittig
|
Peter K. F. Kuhfittig
|
On the stability of thin-shell wormholes in noncommutative geometry
|
12 pages, 6 figures
|
Advances in High Energy Physics (AHEP), vol. 2012, Article ID
462493 (12 pages), 2012
|
10.1155/2012/462493
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper reexamines a special class of thin-shell wormholes that are
unstable in general relativity in the framework of noncommutative geometry. It
is shown that as a consequence of the intrinsic uncertainty these wormholes are
stable to small linearized radial perturbations. Several different spacetimes
are considered.
|
[
{
"created": "Tue, 22 May 2012 16:15:07 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jun 2012 15:42:22 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Aug 2012 14:44:11 GMT",
"version": "v3"
}
] |
2012-08-21
|
[
[
"Kuhfittig",
"Peter K. F.",
""
]
] |
This paper reexamines a special class of thin-shell wormholes that are unstable in general relativity in the framework of noncommutative geometry. It is shown that as a consequence of the intrinsic uncertainty these wormholes are stable to small linearized radial perturbations. Several different spacetimes are considered.
|
1811.12358
|
Marcio Capri
|
M. A. L. Capri, R. C. Terin and H. C. Toledo
|
On the renormalization of a generalized supersymmetric version of the
maximal Abelian gauge
|
26 pages, no figures, new references added
|
Phys. Rev. D 99, 025015 (2019)
|
10.1103/PhysRevD.99.025015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we present an algebraic proof of the renormazibility of the
super-Yang-Mills action quantized in a generalized supersymmetric version of
the maximal Abelian gauge. The main point stated here is that the generalized
gauge depends on a set of infinity gauge parameters in order to take into
account all possible composite operators emerging from the dimensionless
character of the vector superfield. At the end, after the removal of all
ultraviolet divergences, it is possible to specify values to the gauge
parameters in order to return to the original supersymmetric maximal Abelian
gauge, first presented in Phys. Rev. D91, no. 12, 125017 (2015), Ref. [1].
|
[
{
"created": "Thu, 29 Nov 2018 18:09:22 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jan 2019 16:34:43 GMT",
"version": "v2"
}
] |
2019-02-06
|
[
[
"Capri",
"M. A. L.",
""
],
[
"Terin",
"R. C.",
""
],
[
"Toledo",
"H. C.",
""
]
] |
In this work we present an algebraic proof of the renormazibility of the super-Yang-Mills action quantized in a generalized supersymmetric version of the maximal Abelian gauge. The main point stated here is that the generalized gauge depends on a set of infinity gauge parameters in order to take into account all possible composite operators emerging from the dimensionless character of the vector superfield. At the end, after the removal of all ultraviolet divergences, it is possible to specify values to the gauge parameters in order to return to the original supersymmetric maximal Abelian gauge, first presented in Phys. Rev. D91, no. 12, 125017 (2015), Ref. [1].
|
hep-th/9707256
|
Celine Laroche
|
L. Baulieu, C. Laroche, N. Ohta, M. Picco
|
A Note on Consistent Anomalies
|
11 pages, Latex
|
Phys.Lett. B414 (1997) 77-84
|
10.1016/S0370-2693(97)01134-9
|
PAR-LPTHE-97-35, OU-HET-273
|
hep-th
| null |
Within a BRST formulation, we determine the expressions of the consistent
anomaly for superstrings with extended worldsheet supersymmetries of rank N. We
consider the O(N) superconformal algebras up to N=4, as well as the `small N=4'
superalgebra. This is done using a superfield formalism, allowing to recover
previous results that were expressed in components. Moreover, we identify the
`small N=4' algebra as the constrained `large N=4' via a self-duality like
condition in superspace.
|
[
{
"created": "Thu, 31 Jul 1997 10:04:45 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Baulieu",
"L.",
""
],
[
"Laroche",
"C.",
""
],
[
"Ohta",
"N.",
""
],
[
"Picco",
"M.",
""
]
] |
Within a BRST formulation, we determine the expressions of the consistent anomaly for superstrings with extended worldsheet supersymmetries of rank N. We consider the O(N) superconformal algebras up to N=4, as well as the `small N=4' superalgebra. This is done using a superfield formalism, allowing to recover previous results that were expressed in components. Moreover, we identify the `small N=4' algebra as the constrained `large N=4' via a self-duality like condition in superspace.
|
2212.11392
|
Heliudson Bernardo
|
Heliudson Bernardo, Jan Chojnacki, Vincent Comeau
|
Non-linear stability of $\alpha'$-corrected Friedmann equations
|
15 pages
| null |
10.1007/JHEP03(2023)119
| null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We study the non-linear stability of fixed-point solutions to the
$\alpha'$-exact equations from O$(d,d)$ invariant cosmology, with and without
matter perturbations. Previous non-linear analysis in the literature is
revisited, and its compatibility with known linear perturbation results is
shown. Some formal aspects of cosmological perturbations in duality invariant
cosmology are discussed, and we show the existence of time-reparameterization
invariant variables for perturbations.
|
[
{
"created": "Wed, 21 Dec 2022 22:22:43 GMT",
"version": "v1"
}
] |
2023-04-05
|
[
[
"Bernardo",
"Heliudson",
""
],
[
"Chojnacki",
"Jan",
""
],
[
"Comeau",
"Vincent",
""
]
] |
We study the non-linear stability of fixed-point solutions to the $\alpha'$-exact equations from O$(d,d)$ invariant cosmology, with and without matter perturbations. Previous non-linear analysis in the literature is revisited, and its compatibility with known linear perturbation results is shown. Some formal aspects of cosmological perturbations in duality invariant cosmology are discussed, and we show the existence of time-reparameterization invariant variables for perturbations.
|
2210.13934
|
Marjan Kioumarsipour
|
M. Kioumarsipour, J. Sadeghi
|
The imaginary potential and entropic force of heavy quarkonia in
strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch
|
15 pages, 7 figures,
|
Eur. Phys. J. C (2022) 82:119
|
10.1140/epjc/s10052-022-10069-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There are two important different mechanisms, the imaginary potential and
entropic force, to investigate the dissociation of heavy quarkonia. In this
paper, we calculate these two quantities for static and moving quarkonia in the
rotating black 3-brane Type IIB supergravity solution dual to N = 4 super
Yang-Mills theory on the Coulomb branch (cSYM) at strong coupling. At T 6= 0,
there are two black hole branches: the large and small black hole branches. We
investigate the effects of rotating parameter and rapidity for the static and
moving quakonium at the large and small black hole branches. We find both
mechanisms have the same results. In the large black hole branch: as
T/{\Lambda} and \b{eta} increase the thermal width decreases and so the
suppression becomes stronger. In the small black hole branch: increasing
T/{\Lambda} leads to increasing the thermal width and the quarkonium
dissociates harder but \b{eta} has an opposite effect.
|
[
{
"created": "Tue, 25 Oct 2022 11:41:42 GMT",
"version": "v1"
}
] |
2022-10-26
|
[
[
"Kioumarsipour",
"M.",
""
],
[
"Sadeghi",
"J.",
""
]
] |
There are two important different mechanisms, the imaginary potential and entropic force, to investigate the dissociation of heavy quarkonia. In this paper, we calculate these two quantities for static and moving quarkonia in the rotating black 3-brane Type IIB supergravity solution dual to N = 4 super Yang-Mills theory on the Coulomb branch (cSYM) at strong coupling. At T 6= 0, there are two black hole branches: the large and small black hole branches. We investigate the effects of rotating parameter and rapidity for the static and moving quakonium at the large and small black hole branches. We find both mechanisms have the same results. In the large black hole branch: as T/{\Lambda} and \b{eta} increase the thermal width decreases and so the suppression becomes stronger. In the small black hole branch: increasing T/{\Lambda} leads to increasing the thermal width and the quarkonium dissociates harder but \b{eta} has an opposite effect.
|
1811.07872
|
Ivan Christov
|
Ivan C. Christov, Robert J. Decker, A. Demirkaya, Vakhid A. Gani, P.
G. Kevrekidis, Avinash Khare, Avadh Saxena
|
Kink-kink and kink-antikink interactions with long-range tails
|
6 pages, 3 figures, revtex4-1 class; v2 includes minor revisions; v3
corrects typos, accepted for publication in Physical Review Letters
|
Phys. Rev. Lett. 122, 171601 (2019)
|
10.1103/PhysRevLett.122.171601
|
LA-UR-18-30946
|
hep-th cond-mat.mtrl-sci nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this Letter, we address the {long-range interaction} between kinks and
antikinks, as well as kinks and kinks, in $\varphi^{2n+4}$ field theories for
$n>1$. The kink-antikink interaction is generically attractive, while the
kink-kink interaction is generically repulsive. We find that the force of
interaction decays with the $(\frac{2n}{n-1})$th power of their separation, and
we identify the general prefactor for {\it arbitrary} $n$. Importantly, we test
the resulting mathematical prediction with detailed numerical simulations of
the dynamic field equation, and obtain good agreement between theory and
numerics for the cases of $n=2$ ($\varphi^8$ model), $n=3$ ($\varphi^{10}$
model) and $n=4$ ($\varphi^{12}$ model).
|
[
{
"created": "Mon, 19 Nov 2018 18:48:53 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Mar 2019 05:42:27 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Mar 2019 19:47:52 GMT",
"version": "v3"
}
] |
2019-05-08
|
[
[
"Christov",
"Ivan C.",
""
],
[
"Decker",
"Robert J.",
""
],
[
"Demirkaya",
"A.",
""
],
[
"Gani",
"Vakhid A.",
""
],
[
"Kevrekidis",
"P. G.",
""
],
[
"Khare",
"Avinash",
""
],
[
"Saxena",
"Avadh",
""
]
] |
In this Letter, we address the {long-range interaction} between kinks and antikinks, as well as kinks and kinks, in $\varphi^{2n+4}$ field theories for $n>1$. The kink-antikink interaction is generically attractive, while the kink-kink interaction is generically repulsive. We find that the force of interaction decays with the $(\frac{2n}{n-1})$th power of their separation, and we identify the general prefactor for {\it arbitrary} $n$. Importantly, we test the resulting mathematical prediction with detailed numerical simulations of the dynamic field equation, and obtain good agreement between theory and numerics for the cases of $n=2$ ($\varphi^8$ model), $n=3$ ($\varphi^{10}$ model) and $n=4$ ($\varphi^{12}$ model).
|
1712.08475
|
Maulik K. Parikh
|
Maulik Parikh and Andrew Svesko
|
Einstein's Equations from the Stretched Future Light Cone
|
42 pages, 1 figure, LaTeX; v3. typos fixed, references added, journal
version
|
Phys. Rev. D 98, 026018 (2018)
|
10.1103/PhysRevD.98.026018
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define the stretched future light cone, a timelike hypersurface composed
of the worldlines of radially accelerating observers with constant and uniform
proper acceleration. By attributing temperature and entropy to this
hypersurface, we derive Einstein's equations from the Clausius relation.
Moreover, we show that the gravitational equations of motion for a broad class
of diffeomorphism-invariant theories of gravity can be obtained from
thermodynamics on the stretched future light cone, provided the
Bekenstein-Hawking entropy is replaced by the Wald entropy.
|
[
{
"created": "Fri, 22 Dec 2017 14:49:16 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 2018 11:14:59 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Aug 2018 18:25:19 GMT",
"version": "v3"
}
] |
2018-08-29
|
[
[
"Parikh",
"Maulik",
""
],
[
"Svesko",
"Andrew",
""
]
] |
We define the stretched future light cone, a timelike hypersurface composed of the worldlines of radially accelerating observers with constant and uniform proper acceleration. By attributing temperature and entropy to this hypersurface, we derive Einstein's equations from the Clausius relation. Moreover, we show that the gravitational equations of motion for a broad class of diffeomorphism-invariant theories of gravity can be obtained from thermodynamics on the stretched future light cone, provided the Bekenstein-Hawking entropy is replaced by the Wald entropy.
|
hep-th/9510042
|
Philip Gibbs
|
Phil E. Gibbs
|
Is String Theory in Knots?
|
9 pages, uuencoded gzip'ed postscript file
| null | null |
PEG-08-95
|
hep-th math.QA q-alg
| null |
It is sometimes said that there may be a unique algebraic theory independent
of space-time topologies which underlies superstring and p-brane theories. In
this paper, I construct some algebras using knot relations within the framework
of event-symmetric string theory, and ask the question "Is string theory in
knots?"
|
[
{
"created": "Mon, 9 Oct 1995 12:04:43 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Gibbs",
"Phil E.",
""
]
] |
It is sometimes said that there may be a unique algebraic theory independent of space-time topologies which underlies superstring and p-brane theories. In this paper, I construct some algebras using knot relations within the framework of event-symmetric string theory, and ask the question "Is string theory in knots?"
|
1505.02069
|
Theodore Erler
|
Theodore Erler
|
Relating Berkovits and $A_\infty$ Superstring Field Theories; Small
Hilbert Space Perspective
|
V2: 40 pages, minor improvements
| null | null |
LMU-ASC 32/15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a previous paper it was shown that the recently constructed action for
open superstring field theory based on $A_\infty$ algebras can be re-written in
Wess-Zumino-Witten-like form, thus establishing its relation to Berkovits' open
superstring field theory. In this paper we explain the relation between these
two theories from a different perspective which emphasizes the small Hilbert
space, and in particular the relation between the $A_\infty$ structures on both
sides.
|
[
{
"created": "Fri, 8 May 2015 15:41:58 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jan 2016 12:37:37 GMT",
"version": "v2"
}
] |
2016-01-07
|
[
[
"Erler",
"Theodore",
""
]
] |
In a previous paper it was shown that the recently constructed action for open superstring field theory based on $A_\infty$ algebras can be re-written in Wess-Zumino-Witten-like form, thus establishing its relation to Berkovits' open superstring field theory. In this paper we explain the relation between these two theories from a different perspective which emphasizes the small Hilbert space, and in particular the relation between the $A_\infty$ structures on both sides.
|
0705.4308
|
Mark Van Raamsdonk
|
Hsien-Hang Shieh, Greg van Anders and Mark Van Raamsdonk
|
Coarse-Graining the Lin-Maldacena Geometries
|
29 pages, LaTeX, 3 figures; v2 references added
|
JHEP 0709:059,2007
|
10.1088/1126-6708/2007/09/059
| null |
hep-th
| null |
The Lin-Maldacena geometries are nonsingular gravity duals to degenerate
vacuum states of a family of field theories with SU(2|4) supersymmetry. In this
note, we show that at large N, where the number of vacuum states is large,
there is a natural `macroscopic' description of typical states, giving rise to
a set of coarse-grained geometries. For a given coarse-grained state, we can
associate an entropy related to the number of underlying microstates. We find a
simple formula for this entropy in terms of the data that specify the geometry.
We see that this entropy function is zero for the original microstate
geometries and maximized for a certain ``typical state'' geometry, which we
argue is the gravity dual to the zero-temperature limit of the thermal state of
the corresponding field theory. Finally, we note that the coarse-grained
geometries are singular if and only if the entropy function is non-zero.
|
[
{
"created": "Wed, 30 May 2007 19:04:33 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Aug 2007 13:53:46 GMT",
"version": "v2"
}
] |
2009-04-30
|
[
[
"Shieh",
"Hsien-Hang",
""
],
[
"van Anders",
"Greg",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] |
The Lin-Maldacena geometries are nonsingular gravity duals to degenerate vacuum states of a family of field theories with SU(2|4) supersymmetry. In this note, we show that at large N, where the number of vacuum states is large, there is a natural `macroscopic' description of typical states, giving rise to a set of coarse-grained geometries. For a given coarse-grained state, we can associate an entropy related to the number of underlying microstates. We find a simple formula for this entropy in terms of the data that specify the geometry. We see that this entropy function is zero for the original microstate geometries and maximized for a certain ``typical state'' geometry, which we argue is the gravity dual to the zero-temperature limit of the thermal state of the corresponding field theory. Finally, we note that the coarse-grained geometries are singular if and only if the entropy function is non-zero.
|
1611.04616
|
Carlos Andres Escobar Ruiz
|
A. Mart\'in-Ruiz and C. A. Escobar
|
Local effects of the quantum vacuum in Lorentz-violating electrodynamics
|
15 pages, 1 figure
|
Phys. Rev. D 95, 036011 (2017)
|
10.1103/PhysRevD.95.036011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Casimir effect is one of the most remarkable consequences of the non-zero
vacuum energy predicted by quantum field theory. In this paper we use a local
approach to study the Lorentz violation effects of the minimal standard model
extension on the Casimir force between two parallel conducting plates in the
vacuum. Using a perturbative method similar to that used for obtaining the Born
series for the scattering amplitudes in quantum mechanics, we compute, at
leading order in the Lorentz-violating coefficients, the relevant Green's
function which satisfies given boundary conditions. The standard
point-splitting technique allow us to express the vacuum expectation value of
the stress-energy tensor in terms of the Green's function. We discuss its
structure in the region between the plates. We compute the renormalized vacuum
stress, which is obtained as the difference between the vacuum stress in the
presence of the plates and that of the vacuum. The Casimir force is evaluated
in an analytical fashion by two methods: by differentiating the renormalized
global energy density and by computing the normal-normal component of the
renormalized vacuum stress. We compute the local Casimir energy, which is found
to diverge as approaching the plates, and we demonstrate that it does not
contribute to the observable force.
|
[
{
"created": "Mon, 14 Nov 2016 21:04:51 GMT",
"version": "v1"
}
] |
2017-02-22
|
[
[
"Martín-Ruiz",
"A.",
""
],
[
"Escobar",
"C. A.",
""
]
] |
The Casimir effect is one of the most remarkable consequences of the non-zero vacuum energy predicted by quantum field theory. In this paper we use a local approach to study the Lorentz violation effects of the minimal standard model extension on the Casimir force between two parallel conducting plates in the vacuum. Using a perturbative method similar to that used for obtaining the Born series for the scattering amplitudes in quantum mechanics, we compute, at leading order in the Lorentz-violating coefficients, the relevant Green's function which satisfies given boundary conditions. The standard point-splitting technique allow us to express the vacuum expectation value of the stress-energy tensor in terms of the Green's function. We discuss its structure in the region between the plates. We compute the renormalized vacuum stress, which is obtained as the difference between the vacuum stress in the presence of the plates and that of the vacuum. The Casimir force is evaluated in an analytical fashion by two methods: by differentiating the renormalized global energy density and by computing the normal-normal component of the renormalized vacuum stress. We compute the local Casimir energy, which is found to diverge as approaching the plates, and we demonstrate that it does not contribute to the observable force.
|
1310.7590
|
Vitor Cardoso
|
Vitor Cardoso, Roberto Emparan, David Mateos, Paolo Pani, Jorge V.
Rocha
|
Holographic collisions in confining theories
|
65 pages, 18 figures
|
JHEP 01 (2014) 138
|
10.1007/JHEP01(2014)138
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the gravitational dual of a high-energy collision in a confining
gauge theory. We consider a linearized approach in which two point particles
traveling in an AdS-soliton background suddenly collide to form an object at
rest (presumably a black hole for large enough center-of-mass energies). The
resulting radiation exhibits the features expected in a theory with a mass gap:
late-time power law tails of the form t^(-3/2), the failure of Huygens'
principle and distortion of the wave pattern as it propagates. The energy
spectrum is exponentially suppressed for frequencies smaller than the gauge
theory mass gap. Consequently, we observe no memory effect in the gravitational
waveforms. At larger frequencies the spectrum has an upward-stairway structure,
which corresponds to the excitation of the tower of massive states in the
confining gauge theory. We discuss the importance of phenomenological cutoffs
to regularize the divergent spectrum, and the aspects of the full non-linear
collision that are expected to be captured by our approach.
|
[
{
"created": "Mon, 28 Oct 2013 20:00:12 GMT",
"version": "v1"
}
] |
2022-03-07
|
[
[
"Cardoso",
"Vitor",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Mateos",
"David",
""
],
[
"Pani",
"Paolo",
""
],
[
"Rocha",
"Jorge V.",
""
]
] |
We study the gravitational dual of a high-energy collision in a confining gauge theory. We consider a linearized approach in which two point particles traveling in an AdS-soliton background suddenly collide to form an object at rest (presumably a black hole for large enough center-of-mass energies). The resulting radiation exhibits the features expected in a theory with a mass gap: late-time power law tails of the form t^(-3/2), the failure of Huygens' principle and distortion of the wave pattern as it propagates. The energy spectrum is exponentially suppressed for frequencies smaller than the gauge theory mass gap. Consequently, we observe no memory effect in the gravitational waveforms. At larger frequencies the spectrum has an upward-stairway structure, which corresponds to the excitation of the tower of massive states in the confining gauge theory. We discuss the importance of phenomenological cutoffs to regularize the divergent spectrum, and the aspects of the full non-linear collision that are expected to be captured by our approach.
|
hep-th/9901152
| null |
Seungjoon Hyun, Youngjai Kiem and Hyeonjoon Shin
|
Eleven-dimensional massless superparticles and matrix theory spin-orbit
couplings revisited
|
11 pages, Latex, no figures
|
Phys. Rev. D 60, 084024 (1999)
|
10.1103/PhysRevD.60.084024
|
KIAS-P99008
|
hep-th
| null |
The classical probe dynamics of the eleven-dimensional massless
superparticles in the background geometry produced by N source M-momenta is
investigated in the framework of N-sector DLCQ supergravity. We expand the
probe action up to the two fermion terms and find that the fermionic
contributions are the spin-orbit couplings, which precisely agree with the
matrix theory calculations. We comment on the lack of non-perturbative
corrections in the one-loop matrix quantum mechanics effective action and its
compatibility with the supergravity analysis.
|
[
{
"created": "Thu, 28 Jan 1999 12:38:05 GMT",
"version": "v1"
}
] |
2016-08-25
|
[
[
"Hyun",
"Seungjoon",
""
],
[
"Kiem",
"Youngjai",
""
],
[
"Shin",
"Hyeonjoon",
""
]
] |
The classical probe dynamics of the eleven-dimensional massless superparticles in the background geometry produced by N source M-momenta is investigated in the framework of N-sector DLCQ supergravity. We expand the probe action up to the two fermion terms and find that the fermionic contributions are the spin-orbit couplings, which precisely agree with the matrix theory calculations. We comment on the lack of non-perturbative corrections in the one-loop matrix quantum mechanics effective action and its compatibility with the supergravity analysis.
|
1603.07514
|
Dave Dunbar
|
David C. Dunbar and Warren B. Perkins
|
Two-loop five-point all plus helicity Yang-Mills amplitude
|
title changed to match journal style
|
Phys. Rev. D 93, 085029 (2016)
|
10.1103/PhysRevD.93.085029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We re-compute the recently derived two-loop five-point all plus Yang-Mills
amplitude using Unitarity and Recursion. Recursion requires augmented recursion
to determine the sub-leading pole. Using these methods the simplicity of this
amplitude is understood.
|
[
{
"created": "Thu, 24 Mar 2016 10:37:34 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2016 09:57:04 GMT",
"version": "v2"
}
] |
2016-04-27
|
[
[
"Dunbar",
"David C.",
""
],
[
"Perkins",
"Warren B.",
""
]
] |
We re-compute the recently derived two-loop five-point all plus Yang-Mills amplitude using Unitarity and Recursion. Recursion requires augmented recursion to determine the sub-leading pole. Using these methods the simplicity of this amplitude is understood.
|
2209.05585
|
Harold Erbin
|
Harold Erbin, Maxime M\'edevielle
|
Closed string theory without level-matching at the free level
|
31 pages; v2: minor updates, published version
|
JHEP 03 (2023) 091
|
10.1007/JHEP03(2023)091
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In its traditional form, the string field in closed string field theory is
constrained by the level-matching condition, which is imposed beside the
action. By analogy with the similar problem for the Ramond sector, it was
understood by Okawa and Sakaguchi how to lift this condition and work with
unconstrained field by introducing spurious free fields. These authors also
pointed out that new backgrounds may exist thanks to a new gauge field which is
trivial on flat space, but can generate fluxes on a toroidal background. In
this paper, we perform a complete study of the free theory at the tachyonic and
massless levels with the aim of setting the stage for studying backgrounds
without level-matching.
|
[
{
"created": "Mon, 12 Sep 2022 20:13:32 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Mar 2023 16:19:13 GMT",
"version": "v2"
}
] |
2023-03-22
|
[
[
"Erbin",
"Harold",
""
],
[
"Médevielle",
"Maxime",
""
]
] |
In its traditional form, the string field in closed string field theory is constrained by the level-matching condition, which is imposed beside the action. By analogy with the similar problem for the Ramond sector, it was understood by Okawa and Sakaguchi how to lift this condition and work with unconstrained field by introducing spurious free fields. These authors also pointed out that new backgrounds may exist thanks to a new gauge field which is trivial on flat space, but can generate fluxes on a toroidal background. In this paper, we perform a complete study of the free theory at the tachyonic and massless levels with the aim of setting the stage for studying backgrounds without level-matching.
|
hep-th/9812116
|
Mikhail Voloshin
|
S.V. Troitsky and M.B. Voloshin
|
On intersection of domain walls in a supersymmetric model
|
12 pages, LaTeX, 4 figures, eps
|
Phys.Lett.B449:17-23,1999
|
10.1016/S0370-2693(99)00069-6
|
TPI-MINN-98/29-T, UMN-TH-1734-98
|
hep-th
| null |
We consider a classical field configuration, corresponding to intersection of
two domain walls in a supersymmetric model, where the field profile for two
parallel walls at a finite separation is known explicitly. An approximation to
the solution for intersecting walls is constructed for a small angle at the
intersection. We find a finite effective length of the intersection region and
also an energy, associated with the intersection.
|
[
{
"created": "Mon, 14 Dec 1998 21:31:52 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Troitsky",
"S. V.",
""
],
[
"Voloshin",
"M. B.",
""
]
] |
We consider a classical field configuration, corresponding to intersection of two domain walls in a supersymmetric model, where the field profile for two parallel walls at a finite separation is known explicitly. An approximation to the solution for intersecting walls is constructed for a small angle at the intersection. We find a finite effective length of the intersection region and also an energy, associated with the intersection.
|
hep-th/9801172
|
Jiannis Pachos
|
Jiannis Pachos (MIT)
|
(1+1)-Dimensional SU(N) Static Sources in E and A Representations
|
10 pages, no figures, REVTEX, as in Phys. Rev. D
|
Phys.Rev. D58 (1998) 125016
|
10.1103/PhysRevD.58.125016
|
MIT-CTP-2698
|
hep-th
| null |
Here is presented a detailed work on the (1+1) dimensional SU(N) Yang-Mills
theory with static sources. By studying the structure of the SU(N) group and of
the Gauss' law we construct in the electric representation the appropriate wave
functionals, which are simultaneously eigenstates of the Gauss' operator and of
the Hamiltonian. The Fourier transformation between the A- and the
E-representations connecting the Wilson line and a superposition of our
solutions is given.
|
[
{
"created": "Mon, 26 Jan 1998 22:20:47 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 1998 20:56:37 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Pachos",
"Jiannis",
"",
"MIT"
]
] |
Here is presented a detailed work on the (1+1) dimensional SU(N) Yang-Mills theory with static sources. By studying the structure of the SU(N) group and of the Gauss' law we construct in the electric representation the appropriate wave functionals, which are simultaneously eigenstates of the Gauss' operator and of the Hamiltonian. The Fourier transformation between the A- and the E-representations connecting the Wilson line and a superposition of our solutions is given.
|
hep-th/9307062
|
Andreas Honecker
|
H.M. Baboujian
|
Off-Shell Bethe Ansatz Equation and N-point Correlators in the SU(2)
WZNW Theory
|
LaTeX, 15 pages
|
J.Phys.A26:6981-6990,1993
|
10.1088/0305-4470/26/23/037
|
BONN-HE-93-22
|
hep-th
| null |
We prove that the wave vectors of the off-shell Bethe Ansatz equation for the
inhomogeneous SU(2) lattice vertex model render in the quasiclassical limit the
solution of the Knizhnik-Zamolodchikov equation.
|
[
{
"created": "Fri, 9 Jul 1993 10:28:04 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Baboujian",
"H. M.",
""
]
] |
We prove that the wave vectors of the off-shell Bethe Ansatz equation for the inhomogeneous SU(2) lattice vertex model render in the quasiclassical limit the solution of the Knizhnik-Zamolodchikov equation.
|
hep-th/9608186
| null |
A. Johansen
|
A Comment on BPS States in F-theory in 8 Dimensions
|
harvmac tex, 8 pages
|
Phys.Lett. B395 (1997) 36-41
|
10.1016/S0370-2693(97)00053-1
|
HUTP-96/A030
|
hep-th
| null |
We study some aspects of enhanced gauge symmetries in F-theory compactified
on K3. We find open string configurations connecting various 7-branes which
represent stable BPS states. In this approach we recover $D_n$ and $E_n$ gauge
groups previously found from an analysis of sigularities of the moduli space of
elliptically fibered K3 manifolds as well as examples of non-perturbative
realizations of $A_n$ groups.
|
[
{
"created": "Wed, 28 Aug 1996 18:36:58 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Johansen",
"A.",
""
]
] |
We study some aspects of enhanced gauge symmetries in F-theory compactified on K3. We find open string configurations connecting various 7-branes which represent stable BPS states. In this approach we recover $D_n$ and $E_n$ gauge groups previously found from an analysis of sigularities of the moduli space of elliptically fibered K3 manifolds as well as examples of non-perturbative realizations of $A_n$ groups.
|
1003.3963
|
Myron Bander
|
Myron Bander
|
Instability of (1+1) de sitter space in the presence of interacting
fields
|
7 pages
|
Phys.Rev.D82:024003,2010
|
10.1103/PhysRevD.82.024003
|
UCI-TR-2010-04
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Instabilities of two dimensional (1+1) de Sitter space induced by interacting
fields are studied. As for the case of flat Minkowski space, several
interacting fermion models can be translated into free boson ones and vice
versa. It is found that interacting fermion theories do not lead to any
instabilities, while the interacting bosonic sine-Gordon model does lead to a
breakdown of de Sitter symmetry and to the vanishing of the vacuum expectation
value of the S matrix.
|
[
{
"created": "Sun, 21 Mar 2010 02:00:57 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Bander",
"Myron",
""
]
] |
Instabilities of two dimensional (1+1) de Sitter space induced by interacting fields are studied. As for the case of flat Minkowski space, several interacting fermion models can be translated into free boson ones and vice versa. It is found that interacting fermion theories do not lead to any instabilities, while the interacting bosonic sine-Gordon model does lead to a breakdown of de Sitter symmetry and to the vanishing of the vacuum expectation value of the S matrix.
|
hep-th/0505001
|
Guang-Liang Li
|
G. L. Li, K. J. Shi and R. H. Yue
|
The algebraic Bethe ansatz for open A_{2n}^{(2)} vertex model
|
24 pages, no figures
|
JHEP 0507:001,2005
|
10.1088/1126-6708/2005/07/001
| null |
hep-th
| null |
We solve the $A_{2n}^{(2)}$ vertex model with all kinds of diagonal
reflecting matrices by using the algebraic Behe ansatz, which includes
constructing the multi-particle states and achieving the eigenvalue of the
transfer matrix and corresponding Bethe ansatz equations. When the model is
$U_q(B_n)$ quantum invariant, our conclusion agrees with that obtained by
analytic Bethe ansatz method.
|
[
{
"created": "Fri, 29 Apr 2005 22:55:34 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Li",
"G. L.",
""
],
[
"Shi",
"K. J.",
""
],
[
"Yue",
"R. H.",
""
]
] |
We solve the $A_{2n}^{(2)}$ vertex model with all kinds of diagonal reflecting matrices by using the algebraic Behe ansatz, which includes constructing the multi-particle states and achieving the eigenvalue of the transfer matrix and corresponding Bethe ansatz equations. When the model is $U_q(B_n)$ quantum invariant, our conclusion agrees with that obtained by analytic Bethe ansatz method.
|
hep-th/0510116
|
Romuald A. Janik
|
Romuald A. Janik
|
Phases of N=1 theories and factorization of Seiberg-Witten curves
|
13 pages, 2 figures. Talk presented at the XLV School of Theoretical
Physics, Zakopane, 3-12 June 2005
|
Acta Phys.Polon. B36 (2005) 3837-3848
| null | null |
hep-th hep-ph
| null |
In this talk I review the structure of vacua of N=2 theories broken down to
N=1 and it's link with factorization of Seiberg-Witten curves. After an
introduction to the structure of vacua in various supersymmetric gauge
theories, I discuss the use of the exact factorization solution to identify
different dual descriptions of the same physics and to count the number of
connected domains in the space of N=1 vacua.
|
[
{
"created": "Fri, 14 Oct 2005 14:01:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Janik",
"Romuald A.",
""
]
] |
In this talk I review the structure of vacua of N=2 theories broken down to N=1 and it's link with factorization of Seiberg-Witten curves. After an introduction to the structure of vacua in various supersymmetric gauge theories, I discuss the use of the exact factorization solution to identify different dual descriptions of the same physics and to count the number of connected domains in the space of N=1 vacua.
|
1007.1985
|
Ho-Ung Yee
|
Keun-Young Kim, Bindusar Sahoo, Ho-Ung Yee
|
Holographic chiral magnetic spiral
|
24 pages, 15 figures
|
JHEP 1010:005,2010
|
10.1007/JHEP10(2010)005
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the ground state of baryonic/axial matter at zero temperature
chiral-symmetry broken phase under a large magnetic field, in the framework of
holographic QCD by Sakai-Sugimoto. Our study is motivated by a recent proposal
of chiral magnetic spiral phase that has been argued to be favored against
previously studied phase of homogeneous distribution of axial/baryonic currents
in terms of meson super-currents dictated by triangle anomalies in QCD. Our
results provide an existence proof of chiral magnetic spiral in strong coupling
regime via holography, at least for large axial chemical potentials, whereas we
don't find the phenomenon in the case of purely baryonic chemical potential.
|
[
{
"created": "Mon, 12 Jul 2010 20:23:26 GMT",
"version": "v1"
}
] |
2010-11-17
|
[
[
"Kim",
"Keun-Young",
""
],
[
"Sahoo",
"Bindusar",
""
],
[
"Yee",
"Ho-Ung",
""
]
] |
We study the ground state of baryonic/axial matter at zero temperature chiral-symmetry broken phase under a large magnetic field, in the framework of holographic QCD by Sakai-Sugimoto. Our study is motivated by a recent proposal of chiral magnetic spiral phase that has been argued to be favored against previously studied phase of homogeneous distribution of axial/baryonic currents in terms of meson super-currents dictated by triangle anomalies in QCD. Our results provide an existence proof of chiral magnetic spiral in strong coupling regime via holography, at least for large axial chemical potentials, whereas we don't find the phenomenon in the case of purely baryonic chemical potential.
|
hep-th/0205158
|
E. S. Santos
|
A.T.Suzuki, E.S.Santos, A.G.M.Schmidt
|
Massless and massive one-loop three-point functions in negative
dimensional approach
| null |
Eur.Phys.J.C26:125-137,2002
|
10.1140/epjc/s2002-01035-0
| null |
hep-th
| null |
In this article we present the complete massless and massive one-loop
triangle diagram results using the negative dimensional integration method
(NDIM). We consider the following cases: massless internal fields; one massive,
two massive with the same mass m and three equal masses for the virtual
particles. Our results are given in terms of hypergeometric and
hypergeometric-type functions of external momenta (and masses for the massive
cases) where the propagators in the Feynman integrals are raised to arbitrary
exponents and the dimension of the space-time D. Our approach reproduces the
known results as well as other solutions as yet unknown in the literature.
These new solutions occur naturally in the context of NDIM revealing a
promising technique to solve Feynman integrals in quantum field theories.
|
[
{
"created": "Wed, 15 May 2002 19:01:05 GMT",
"version": "v1"
}
] |
2011-09-13
|
[
[
"Suzuki",
"A. T.",
""
],
[
"Santos",
"E. S.",
""
],
[
"Schmidt",
"A. G. M.",
""
]
] |
In this article we present the complete massless and massive one-loop triangle diagram results using the negative dimensional integration method (NDIM). We consider the following cases: massless internal fields; one massive, two massive with the same mass m and three equal masses for the virtual particles. Our results are given in terms of hypergeometric and hypergeometric-type functions of external momenta (and masses for the massive cases) where the propagators in the Feynman integrals are raised to arbitrary exponents and the dimension of the space-time D. Our approach reproduces the known results as well as other solutions as yet unknown in the literature. These new solutions occur naturally in the context of NDIM revealing a promising technique to solve Feynman integrals in quantum field theories.
|
1105.0365
|
Pramod Shukla
|
Pramod Shukla (IIT Roorkee)
|
Topics In Large Volume Swiss-Cheese Compactification Geometries
|
LaTeX, 248 pages, Based on Ph.D. Thesis (Advisor: Aalok Misra), In
footnote 3, address from Oct 1, 2011 is changed
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this review article, we present a systematic study of large volume type
IIB string compactifications that addresses several interesting issues in
string cosmology and string phenomenology within a single string
compactification scheme. The issues in string cosmology include obtaining a
metastable non-supersymmetric dS minimum without adding anti-D3 branes and
obtaining slow-roll inflation with the required number of 60 e-foldings along
with non-trivial non-Gaussianities and gravitational waves. For studying
cosmology and phenomenology within a single string compactification scheme, we
provide a geometric resolution to a long-standing tension between LVS cosmology
and LVS phenomenology after incorporating the effect of a single mobile
spacetime-flling D3-brane and stacks of fluxed D7-branes wrapping the "big"
divisor of a Swiss-Cheese CY. Further, using GLSM techniques and the toric data
for the Swiss-Cheese CY, we calculate geometric Kaehler potential in LVS limit
which are subdominant as compared to the tree level and (non-) perturbative
contributions. The issues in string phenomenology which has been addressed in
this review article, include realizing order one YM couplings, obtaining O(TeV)
gravitino and explicit calculation of various soft masses and couplings along
with the possibility of realizing fermionic mass scales of first two
generations, order eV neutrino mass scale and an estimate of the proton
lifetime. Apart from the issues related to (string) cosmology/phenomenology, we
also discuss some other interesting issues on implications of moduli
stabilization via inclusion of fluxes in the same type IIB compactification
scheme. These issues include the existence of area codes, `inverse-problem'
related to non-supersymmetric black hole attractors and existence of fake
superpotentials.
|
[
{
"created": "Mon, 2 May 2011 15:50:51 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2011 14:33:25 GMT",
"version": "v2"
}
] |
2011-06-07
|
[
[
"Shukla",
"Pramod",
"",
"IIT Roorkee"
]
] |
In this review article, we present a systematic study of large volume type IIB string compactifications that addresses several interesting issues in string cosmology and string phenomenology within a single string compactification scheme. The issues in string cosmology include obtaining a metastable non-supersymmetric dS minimum without adding anti-D3 branes and obtaining slow-roll inflation with the required number of 60 e-foldings along with non-trivial non-Gaussianities and gravitational waves. For studying cosmology and phenomenology within a single string compactification scheme, we provide a geometric resolution to a long-standing tension between LVS cosmology and LVS phenomenology after incorporating the effect of a single mobile spacetime-flling D3-brane and stacks of fluxed D7-branes wrapping the "big" divisor of a Swiss-Cheese CY. Further, using GLSM techniques and the toric data for the Swiss-Cheese CY, we calculate geometric Kaehler potential in LVS limit which are subdominant as compared to the tree level and (non-) perturbative contributions. The issues in string phenomenology which has been addressed in this review article, include realizing order one YM couplings, obtaining O(TeV) gravitino and explicit calculation of various soft masses and couplings along with the possibility of realizing fermionic mass scales of first two generations, order eV neutrino mass scale and an estimate of the proton lifetime. Apart from the issues related to (string) cosmology/phenomenology, we also discuss some other interesting issues on implications of moduli stabilization via inclusion of fluxes in the same type IIB compactification scheme. These issues include the existence of area codes, `inverse-problem' related to non-supersymmetric black hole attractors and existence of fake superpotentials.
|
hep-th/9402001
|
Yutaka Matsuo
|
H.Awata, M.Fukuma, Y.Matsuo, S.Odake
|
Determinant Formulae of Quasi-Finite Representation of W_{1+\infty}
Algebra at Lower Levels
|
YITP/K-1054, UT-669, SULDP-1994-1, (11 pages, LaTeX file)
|
Phys.Lett. B332 (1994) 336-344
|
10.1016/0370-2693(94)91262-9
| null |
hep-th
| null |
We calculate the Kac determinant for the quasi-finite representation of \Winf
algebra up to level 8. It vanishes only when the central charge is integer. We
give an algebraic construction of null states and propose the character
formulae. The character of the Verma module is related to free fields in three
dimensions which has rather exotic modular properties.
|
[
{
"created": "Tue, 1 Feb 1994 12:52:21 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Awata",
"H.",
""
],
[
"Fukuma",
"M.",
""
],
[
"Matsuo",
"Y.",
""
],
[
"Odake",
"S.",
""
]
] |
We calculate the Kac determinant for the quasi-finite representation of \Winf algebra up to level 8. It vanishes only when the central charge is integer. We give an algebraic construction of null states and propose the character formulae. The character of the Verma module is related to free fields in three dimensions which has rather exotic modular properties.
|
1305.7116
|
Stefano G. Giaccari
|
L.Bonora and S.Giaccari
|
Weyl transformations and trace anomalies in N=1, D=4 supergravities
|
31 pages, two references added; section 6 removed and replaced with
alternative derivation
|
JHEP 1308 (2013) 116
|
10.1007/JHEP08(2013)116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We identify the supersymmetric extension of Weyl transformations in various
types of supergravities, the minimal, nonminimal and new minimal N=1 SUGRA in
4D, formulated in terms of superfields. Based also on previous results we
conclude that there are only two types of trace anomalies in nonminimal and new
minimal supergravities, which correspond to the two nontrivial cocycles of the
minimal supergravity and, when reduced to component form, to the well-known
squared Weyl density and Euler density. There are nevertheless in new minimal
supergravity other nontrivial cocycles which, however, are mapped to zero in
the minimal supergravity.
|
[
{
"created": "Thu, 30 May 2013 14:03:45 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2013 14:29:23 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Jul 2013 10:48:41 GMT",
"version": "v3"
}
] |
2013-12-11
|
[
[
"Bonora",
"L.",
""
],
[
"Giaccari",
"S.",
""
]
] |
We identify the supersymmetric extension of Weyl transformations in various types of supergravities, the minimal, nonminimal and new minimal N=1 SUGRA in 4D, formulated in terms of superfields. Based also on previous results we conclude that there are only two types of trace anomalies in nonminimal and new minimal supergravities, which correspond to the two nontrivial cocycles of the minimal supergravity and, when reduced to component form, to the well-known squared Weyl density and Euler density. There are nevertheless in new minimal supergravity other nontrivial cocycles which, however, are mapped to zero in the minimal supergravity.
|
1209.1110
|
Gianluca Calcagni
|
Gianluca Calcagni
|
Introduction to multifractional spacetimes
|
26 pages, 6 figures; v2: references added. Lectures given at Sixth
International School on Field Theory and Gravitation 2012 (Petropolis,
Brazil)
|
AIP Conf. Proc. 1483 (2012) 31
|
10.1063/1.4756961
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We informally review the construction of spacetime geometries with
multifractal and, more generally, multiscale properties. Based on fractional
calculus, these continuous spacetimes have their dimension changing with the
scale; they display discrete symmetries in the ultraviolet and ordinary
Poincar\'e symmetries in the infrared. Under certain reasonable assumptions,
field theories (including gravity) on multifractional geometries are generally
argued to be perturbatively renormalizable. We also sketch the relation with
other field theories of quantum gravity based on the renormalization group.
|
[
{
"created": "Wed, 5 Sep 2012 20:08:30 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Oct 2012 09:11:44 GMT",
"version": "v2"
}
] |
2012-10-10
|
[
[
"Calcagni",
"Gianluca",
""
]
] |
We informally review the construction of spacetime geometries with multifractal and, more generally, multiscale properties. Based on fractional calculus, these continuous spacetimes have their dimension changing with the scale; they display discrete symmetries in the ultraviolet and ordinary Poincar\'e symmetries in the infrared. Under certain reasonable assumptions, field theories (including gravity) on multifractional geometries are generally argued to be perturbatively renormalizable. We also sketch the relation with other field theories of quantum gravity based on the renormalization group.
|
hep-th/9806128
|
Maxim Zyskin
|
M. Zyskin
|
A note on the glueball mass spectrum
|
References, acknowledgments added; some presentation improvements
|
Phys.Lett.B439:373-381,1998
|
10.1016/S0370-2693(98)01067-3
|
UCR 98-6
|
hep-th
| null |
A conjectured duality between supergravity and $N=\infty$ gauge theories
gives predictions for the glueball masses as eigenvalues for a supergravity
wave equations in a black hole geometry, and describes a physics, most relevant
to a high-temeperature expansion of a lattice QCD. We present an analytical
solution for eigenvalues and eigenfunctions, with eigenvalues given by zeroes
of a certain well-computable function $r(p)$, which signify that the two
solutions with desired behaviour at two singular points become linearly
dependent. Our computation shows corrections to the WKB formula $m^2= 6n(n+1)$
for eigenvalues corresponding to glueball masses QCD-3, and gives the first
states with masses $m^2=$ 11.58766; 34.52698; 68.974962; 114.91044; 172.33171;
241.236607; 321.626549, ... . In $QCD_4$, our computation gives squares of
masses 37.169908; 81.354363; 138.473573; 208.859215; 292.583628; 389.671368;
500.132850; 623.97315 ... for $O++$. In both cases, we have a powerful method
which allows to compute eigenvalues with an arbitrary precision, if needed so,
which may provide quantative tests for the duality conjecture. Our results
matches with the numerical computation of [5] well withing precision reported
there in both $QCD_3$ and $QCD_4$ cases. As an additional curiosity, we report
that for eigenvalues of about 7000, the power series, although convergent, has
coefficients of orders ${10}^{34}$; tricks we used to get reliably the function
$r(p)$, as also the final answer gets small, of order ${10}^{-6}$ in $QCD_4$.
In principle we can go to infinitely high eigenavalues, but such computations
maybe impractical due to corrections.
|
[
{
"created": "Tue, 16 Jun 1998 13:58:35 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 1998 08:52:18 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Jun 1998 21:20:37 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Zyskin",
"M.",
""
]
] |
A conjectured duality between supergravity and $N=\infty$ gauge theories gives predictions for the glueball masses as eigenvalues for a supergravity wave equations in a black hole geometry, and describes a physics, most relevant to a high-temeperature expansion of a lattice QCD. We present an analytical solution for eigenvalues and eigenfunctions, with eigenvalues given by zeroes of a certain well-computable function $r(p)$, which signify that the two solutions with desired behaviour at two singular points become linearly dependent. Our computation shows corrections to the WKB formula $m^2= 6n(n+1)$ for eigenvalues corresponding to glueball masses QCD-3, and gives the first states with masses $m^2=$ 11.58766; 34.52698; 68.974962; 114.91044; 172.33171; 241.236607; 321.626549, ... . In $QCD_4$, our computation gives squares of masses 37.169908; 81.354363; 138.473573; 208.859215; 292.583628; 389.671368; 500.132850; 623.97315 ... for $O++$. In both cases, we have a powerful method which allows to compute eigenvalues with an arbitrary precision, if needed so, which may provide quantative tests for the duality conjecture. Our results matches with the numerical computation of [5] well withing precision reported there in both $QCD_3$ and $QCD_4$ cases. As an additional curiosity, we report that for eigenvalues of about 7000, the power series, although convergent, has coefficients of orders ${10}^{34}$; tricks we used to get reliably the function $r(p)$, as also the final answer gets small, of order ${10}^{-6}$ in $QCD_4$. In principle we can go to infinitely high eigenavalues, but such computations maybe impractical due to corrections.
|
1005.5053
|
David Kastor
|
David Kastor, Sourya Ray and Jennie Traschen
|
Smarr Formula and an Extended First Law for Lovelock Gravity
|
20 pages; v2 - references added; v3 - includes important corrections
to results
|
Class.Quant.Grav.27:235014,2010
|
10.1088/0264-9381/27/23/235014
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study properties of static, asymptotically AdS black holes in Lovelock
gravity. Our main result is a Smarr formula that gives the mass in terms of
geometrical quantities together with the parameters of the Lovelock theory. As
in Einstein gravity, the Smarr formula follows from applying the first law to
an infinitesimal change in the overall length scale. However, because the
Lovelock couplings are dimensionful, we must first prove an extension of the
first law that includes their variations. Key ingredients in this construction
are the Killing-Lovelock potentials associated with each of the the higher
curvature Lovelock interactions. Geometric expressions are obtained for the new
thermodynamic potentials conjugate to variation of the Lovelock couplings.
|
[
{
"created": "Thu, 27 May 2010 12:52:43 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Jun 2010 13:28:36 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Aug 2010 14:34:42 GMT",
"version": "v3"
}
] |
2010-11-22
|
[
[
"Kastor",
"David",
""
],
[
"Ray",
"Sourya",
""
],
[
"Traschen",
"Jennie",
""
]
] |
We study properties of static, asymptotically AdS black holes in Lovelock gravity. Our main result is a Smarr formula that gives the mass in terms of geometrical quantities together with the parameters of the Lovelock theory. As in Einstein gravity, the Smarr formula follows from applying the first law to an infinitesimal change in the overall length scale. However, because the Lovelock couplings are dimensionful, we must first prove an extension of the first law that includes their variations. Key ingredients in this construction are the Killing-Lovelock potentials associated with each of the the higher curvature Lovelock interactions. Geometric expressions are obtained for the new thermodynamic potentials conjugate to variation of the Lovelock couplings.
|
1605.04143
|
Hrvoje Nikolic
|
H. Nikolic
|
Proof that Casimir force does not originate from vacuum energy
|
14 pages, revised, accepted for publication in Phys. Lett. B
|
Phys. Lett. B 761, 197 (2016)
|
10.1016/j.physletb.2016.08.036
| null |
hep-th cond-mat.stat-mech gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple general proof that Casimir force cannot originate from
the vacuum energy of electromagnetic (EM) field. The full QED Hamiltonian
consists of 3 terms: the pure electromagnetic term $H_{\rm em}$, the pure
matter term $H_{\rm matt}$ and the interaction term $H_{\rm int}$. The $H_{\rm
em}$-term commutes with all matter fields because it does not have any explicit
dependence on matter fields. As a consequence, $H_{\rm em}$ cannot generate any
forces on matter. Since it is precisely this term that generates the vacuum
energy of EM field, it follows that the vacuum energy does not generate the
forces. The misleading statements in the literature that vacuum energy
generates Casimir force can be boiled down to the fact that $H_{\rm em}$
attains an implicit dependence on matter fields by the use of the equations of
motion and the illegitimate treatment of the implicit dependence as if it was
explicit. The true origin of the Casimir force is van der Waals force generated
by $H_{\rm int}$.
|
[
{
"created": "Fri, 13 May 2016 11:57:01 GMT",
"version": "v1"
},
{
"created": "Mon, 23 May 2016 11:39:19 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Aug 2016 09:23:43 GMT",
"version": "v3"
}
] |
2016-09-21
|
[
[
"Nikolic",
"H.",
""
]
] |
We present a simple general proof that Casimir force cannot originate from the vacuum energy of electromagnetic (EM) field. The full QED Hamiltonian consists of 3 terms: the pure electromagnetic term $H_{\rm em}$, the pure matter term $H_{\rm matt}$ and the interaction term $H_{\rm int}$. The $H_{\rm em}$-term commutes with all matter fields because it does not have any explicit dependence on matter fields. As a consequence, $H_{\rm em}$ cannot generate any forces on matter. Since it is precisely this term that generates the vacuum energy of EM field, it follows that the vacuum energy does not generate the forces. The misleading statements in the literature that vacuum energy generates Casimir force can be boiled down to the fact that $H_{\rm em}$ attains an implicit dependence on matter fields by the use of the equations of motion and the illegitimate treatment of the implicit dependence as if it was explicit. The true origin of the Casimir force is van der Waals force generated by $H_{\rm int}$.
|
hep-th/0607174
|
Irina Dymnikova
|
Irina Dymnikova
|
Spinning superconducting electrovacuum soliton
| null |
Phys.Lett. B639 (2006) 368-372
|
10.1016/j.physletb.2006.06.035
| null |
hep-th
| null |
In nonlinear electrodynamics coupled to general relativity and satisfying the
weak energy condition, a spherically symmetric electrically charged
electrovacuum soliton has obligatory de Sitter center in which the electric
field vanishes while the energy density of electromagnetic vacuum achieves its
maximal value. De Sitter vacuum supplies a particle with the finite positive
electromagnetic mass related to breaking of space-time symmetry from the de
Sitter group in the origin. By the G\"urses-G\"ursey algorithm based on the
Newman-Trautman technique it is transformed into a spinning electrovacuum
soliton asymptotically Kerr-Newman for a distant observer. De Sitter center
becomes de Sitter equatorial disk which has both perfect conductor and ideal
diamagnetic properties. The interior de Sitter vacuum disk displays
superconducting behavior within a single spinning soliton. This behavior found
for an arbitrary nonlinear lagrangian ${\cal L}(F)$, is generic for the class
of regular spinning electrovacuum solutions describing both black holes and
particle-like structures.
|
[
{
"created": "Mon, 24 Jul 2006 11:47:28 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Dymnikova",
"Irina",
""
]
] |
In nonlinear electrodynamics coupled to general relativity and satisfying the weak energy condition, a spherically symmetric electrically charged electrovacuum soliton has obligatory de Sitter center in which the electric field vanishes while the energy density of electromagnetic vacuum achieves its maximal value. De Sitter vacuum supplies a particle with the finite positive electromagnetic mass related to breaking of space-time symmetry from the de Sitter group in the origin. By the G\"urses-G\"ursey algorithm based on the Newman-Trautman technique it is transformed into a spinning electrovacuum soliton asymptotically Kerr-Newman for a distant observer. De Sitter center becomes de Sitter equatorial disk which has both perfect conductor and ideal diamagnetic properties. The interior de Sitter vacuum disk displays superconducting behavior within a single spinning soliton. This behavior found for an arbitrary nonlinear lagrangian ${\cal L}(F)$, is generic for the class of regular spinning electrovacuum solutions describing both black holes and particle-like structures.
|
hep-th/0207228
|
Shinji Tsujikawa
|
Shinji Tsujikawa, Robert Brandenberger, Fabio Finelli
|
On the Construction of Nonsingular Pre-Big-Bang and Ekpyrotic
Cosmologies and the Resulting Density Perturbations
|
29 pages, 9 figures, accepted for publication in Physical Review D,
reference added, discussion section expanded
|
Phys.Rev. D66 (2002) 083513
|
10.1103/PhysRevD.66.083513
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We consider the construction of nonsingular Pre-Big-Bang and Ekpyrotic type
cosmological models realized by the addition to the action of specific
higher-order terms stemming from quantum corrections. We study models involving
general relativity coupled to a single scalar field with a potential motivated
by the Ekpyrotic scenario. We find that the inclusion of the string loop and
quantum correction terms in the string frame makes it possible to obtain
solutions of the variational equations which are nonsingular and bouncing in
the Einstein frame, even when a negative exponential potential is present, as
is the case in the Ekpyrotic scenario. We analyze the spectra of perturbations
produced during the bouncing phase and find that the spectrum of curvature
fluctuations in the model proposed originally to implement the Ekpyrotic
scenario has a large blue tilt ($n_R= 3$). Except for instabilities introduced
on small scales, the result agrees with what is obtained by imposing continuity
of the induced metric and of the extrinsic curvature across a constant scalar
field (up to $k^2$ corrections equal to the constant energy density) matching
surface between the contracting and the expanding Einstein Universes. We also
discuss nonsingular cosmological solutions obtained when a Gauss-Bonnet term
with a coefficient suitably dependent on the scalar matter field is added to
the action in the Einstein frame with a potential for the scalar field present.
|
[
{
"created": "Thu, 25 Jul 2002 08:48:03 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Sep 2002 08:12:03 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Tsujikawa",
"Shinji",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Finelli",
"Fabio",
""
]
] |
We consider the construction of nonsingular Pre-Big-Bang and Ekpyrotic type cosmological models realized by the addition to the action of specific higher-order terms stemming from quantum corrections. We study models involving general relativity coupled to a single scalar field with a potential motivated by the Ekpyrotic scenario. We find that the inclusion of the string loop and quantum correction terms in the string frame makes it possible to obtain solutions of the variational equations which are nonsingular and bouncing in the Einstein frame, even when a negative exponential potential is present, as is the case in the Ekpyrotic scenario. We analyze the spectra of perturbations produced during the bouncing phase and find that the spectrum of curvature fluctuations in the model proposed originally to implement the Ekpyrotic scenario has a large blue tilt ($n_R= 3$). Except for instabilities introduced on small scales, the result agrees with what is obtained by imposing continuity of the induced metric and of the extrinsic curvature across a constant scalar field (up to $k^2$ corrections equal to the constant energy density) matching surface between the contracting and the expanding Einstein Universes. We also discuss nonsingular cosmological solutions obtained when a Gauss-Bonnet term with a coefficient suitably dependent on the scalar matter field is added to the action in the Einstein frame with a potential for the scalar field present.
|
hep-th/0212334
|
Saurya Das
|
Saurya Das (Univ of New Brunswick), Gabor Kunstatter (Univ of
Winnipeg)
|
Varying Fine Structure Constant and Black Hole Physics
|
7 Pages, Revtex. Reference added, minor changes. Version to appear in
Class. Quant. Grav
|
Class.Quant.Grav.20:2015-2024,2003
|
10.1088/0264-9381/20/11/304
| null |
hep-th astro-ph gr-qc hep-ph
| null |
Recent astrophysical observations suggest that the value of fine structure
constant $\alpha=e^2/\hbar c$ may be slowly increasing with time. This may be
due to an increase of $e$ or a decrease of $c$, or both. In this article, we
argue from model independent considerations that this variation should be
considered adiabatic. Then, we examine in detail the consequences of such an
adiabatic variation in the context of a specific model of quantized charged
black holes. We find that the second law of black hole thermodynamics is
obeyed, regardless of the origin of the variation, and that interesting
constraints arise on the charge and mass of black holes. Finally, we estimate
the work done on a black hole of mass $M$ due to the proposed $\alpha$
variation.
|
[
{
"created": "Mon, 30 Dec 2002 15:06:56 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2003 20:51:33 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Das",
"Saurya",
"",
"Univ of New Brunswick"
],
[
"Kunstatter",
"Gabor",
"",
"Univ of\n Winnipeg"
]
] |
Recent astrophysical observations suggest that the value of fine structure constant $\alpha=e^2/\hbar c$ may be slowly increasing with time. This may be due to an increase of $e$ or a decrease of $c$, or both. In this article, we argue from model independent considerations that this variation should be considered adiabatic. Then, we examine in detail the consequences of such an adiabatic variation in the context of a specific model of quantized charged black holes. We find that the second law of black hole thermodynamics is obeyed, regardless of the origin of the variation, and that interesting constraints arise on the charge and mass of black holes. Finally, we estimate the work done on a black hole of mass $M$ due to the proposed $\alpha$ variation.
|
0705.3897
|
Dirk Kreimer
|
Dirk Kreimer
|
A remark on quantum gravity
|
9p, several eps figures
|
Annals Phys.323:49-60,2008
|
10.1016/j.aop.2007.06.005
|
IHES/P/07/20
|
hep-th gr-qc math-ph math.MP
| null |
We discuss the structure of Dyson--Schwinger equations in quantum gravity and
conclude in particular that all relevant skeletons are of first order in the
loop number. There is an accompanying sub Hopf algebra on gravity amplitudes
equivalent to identities between n-graviton scattering amplitudes which
generalize the Slavnov Taylor identities. These identities map the infinite
number of charges and finite numbers of skeletons in gravity to an infinite
number of skeletons and a finite number of charges needing renormalization. Our
analysis suggests that gravity, regarded as a probability conserving but
perturbatively non-renormalizable theory, is renormalizable after all, thanks
to the structure of its Dyson--Schwinger equations.
|
[
{
"created": "Sat, 26 May 2007 15:28:58 GMT",
"version": "v1"
}
] |
2009-04-17
|
[
[
"Kreimer",
"Dirk",
""
]
] |
We discuss the structure of Dyson--Schwinger equations in quantum gravity and conclude in particular that all relevant skeletons are of first order in the loop number. There is an accompanying sub Hopf algebra on gravity amplitudes equivalent to identities between n-graviton scattering amplitudes which generalize the Slavnov Taylor identities. These identities map the infinite number of charges and finite numbers of skeletons in gravity to an infinite number of skeletons and a finite number of charges needing renormalization. Our analysis suggests that gravity, regarded as a probability conserving but perturbatively non-renormalizable theory, is renormalizable after all, thanks to the structure of its Dyson--Schwinger equations.
|
hep-th/9610083
|
Poul Henrik Damgaard
|
J. Alfaro, K. Bering and P.H. Damgaard
|
BRST Formulation of Partition Function Constraints
|
LaTeX, 7 pages
|
Mod.Phys.Lett. A12 (1997) 1119-1126
|
10.1142/S021773239700114X
|
UUITP-23/96, NBI-HE-96-52
|
hep-th
| null |
We show that constraints on the generating functional have direct
BRST-extensions in terms of nilpotent operators $\Delta$ that annihilate this
generating functional, and which may be of arbitrarily high order. The free
energy $F$ in the presence of external sources thus satisfies a ``Master
Equation'' which is described in terms of a tower of higher antibrackets.
|
[
{
"created": "Fri, 11 Oct 1996 11:57:07 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Alfaro",
"J.",
""
],
[
"Bering",
"K.",
""
],
[
"Damgaard",
"P. H.",
""
]
] |
We show that constraints on the generating functional have direct BRST-extensions in terms of nilpotent operators $\Delta$ that annihilate this generating functional, and which may be of arbitrarily high order. The free energy $F$ in the presence of external sources thus satisfies a ``Master Equation'' which is described in terms of a tower of higher antibrackets.
|
hep-th/0210117
|
Jihn E. Kim
|
Jihn E. Kim
|
Inflation with blowing-up solution of cosmological constant problem
|
LaTeX file of 20 pages including 2 eps figures
|
JHEP 0301 (2003) 042
|
10.1088/1126-6708/2003/01/042
|
SNUTP 02/034
|
hep-th astro-ph hep-ph
| null |
The cosmological constant problem is how one chooses, without fine-tuning,
one singular point $\Lambda_{eff}=0$ for the 4D cosmological constant. We argue
that some recently discovered {\it weak self-tuning} solutions can be viewed as
blowing-up this one point into a band of some parameter. These weak self-tuning
solutions may have a virtue that only de Sitter space solutions are allowed
outside this band, allowing an inflationary period. We adopt the hybrid
inflation at the brane to exit from this inflationary phase and to enter into
the standard Big Bang cosmology.
|
[
{
"created": "Sat, 12 Oct 2002 04:56:37 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Kim",
"Jihn E.",
""
]
] |
The cosmological constant problem is how one chooses, without fine-tuning, one singular point $\Lambda_{eff}=0$ for the 4D cosmological constant. We argue that some recently discovered {\it weak self-tuning} solutions can be viewed as blowing-up this one point into a band of some parameter. These weak self-tuning solutions may have a virtue that only de Sitter space solutions are allowed outside this band, allowing an inflationary period. We adopt the hybrid inflation at the brane to exit from this inflationary phase and to enter into the standard Big Bang cosmology.
|
hep-th/9612104
|
Rafael Hernandez
|
Cesar Gomez (IMAFF, CSIC)
|
D-Brane Probes and Mirror Symmetry
|
Latex file. 13 pages
| null | null | null |
hep-th
| null |
We study the effect of mirror symmetry for K3 surfaces on D-brane probe
physics. The case of elliptically fibered K3 surfaces is considered in detail.
In many cases, mirror can transform a singular fiber of Kodaira's type ADE into
sets of singular fibers of type I_1 (II) with equal total Euler number, but
vanishing contribution to the Picard number of the mirror surface. This
provides a geometric model of quantum splitting phenomena. Mirror for three
dimensional gauge theories, interchanging Fayet-Iliopoulos and mass terms, is
also briefly discussed.
|
[
{
"created": "Tue, 10 Dec 1996 16:37:49 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Gomez",
"Cesar",
"",
"IMAFF, CSIC"
]
] |
We study the effect of mirror symmetry for K3 surfaces on D-brane probe physics. The case of elliptically fibered K3 surfaces is considered in detail. In many cases, mirror can transform a singular fiber of Kodaira's type ADE into sets of singular fibers of type I_1 (II) with equal total Euler number, but vanishing contribution to the Picard number of the mirror surface. This provides a geometric model of quantum splitting phenomena. Mirror for three dimensional gauge theories, interchanging Fayet-Iliopoulos and mass terms, is also briefly discussed.
|
hep-th/0010124
|
Maria A. Lledo
|
R. D'Auria, S. Ferrara, M. A. Lled\'o, V. S. Varadarajan
|
Spinor Algebras
|
References added, misprints corrected. Version to appear in the
Journal of Geometry and Physics
|
J.Geom.Phys. 40 (2001) 101-128
|
10.1016/S0393-0440(01)00023-7
|
CERN-TH/2000-260
|
hep-th
| null |
We consider supersymmetry algebras in space-times with arbitrary signature
and minimal number of spinor generators. The interrelation between super
Poincar\'e and super conformal algebras is elucidated. Minimal super conformal
algebras are seen to have as bosonic part a classical semimisimple algebra
naturally associated to the spin group. This algebra, the Spin$(s,t)$-algebra,
depends both on the dimension and on the signature of space time. We also
consider maximal super conformal algebras, which are classified by the
orthosymplectic algebras.
|
[
{
"created": "Mon, 16 Oct 2000 12:46:19 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2001 17:06:53 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Lledó",
"M. A.",
""
],
[
"Varadarajan",
"V. S.",
""
]
] |
We consider supersymmetry algebras in space-times with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincar\'e and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semimisimple algebra naturally associated to the spin group. This algebra, the Spin$(s,t)$-algebra, depends both on the dimension and on the signature of space time. We also consider maximal super conformal algebras, which are classified by the orthosymplectic algebras.
|
1608.02713
|
Stefano Bellucci
|
S. Bellucci, A. A. Saharian, A. Kh. Grigoryan
|
Induced fermionic charge and current densities in two-dimensional rings
|
29 pages, 9 figures, PACS numbers: 03.70.+k, 11.27.+d, 04.60.Kz
|
Phys. Rev. D 94, 105007 (2016)
|
10.1103/PhysRevD.94.105007
| null |
hep-th cond-mat.mes-hall quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a massive quantum fermionic field, we investigate the vacuum expectation
values (VEVs) of the charge and current densities induced by an external
magnetic flux in a two-dimensional circular ring. Both the irreducible
representations of the Clifford algebra are considered. On the ring edges the
bag (infinite mass) boundary conditions are imposed for the field operator.
This leads to the Casimir type effect on the vacuum characteristics. The radial
current vanishes. The charge and the azimuthal current are decomposed into the
boundary-free and boundary-induced contributions. Both these contributions are
odd periodic functions of the magnetic flux with the period equal to the flux
quantum. An important feature that distinguishes the VEVs of the charge and
current densities from the VEV of the energy density, is their finiteness on
the ring edges. The current density is equal to the charge density for the
outer edge and has the opposite sign on the inner edge. The VEVs are peaked
near the inner edge and, as functions of the field mass, exhibit quite
different features for two inequivalent representations of the Clifford
algebra. We show that, unlike the VEVs in the boundary-free geometry, the
vacuum charge and the current in the ring are continuous functions of the
magnetic flux and vanish for half-odd integer values of the flux in units of
the flux quantum. Combining the results for two irreducible representations, we
also investigate the induced charge and current in parity and time-reversal
symmetric models. The corresponding results are applied to graphene rings with
the electronic subsystem described in terms of the effective Dirac theory with
the energy gap. If the energy gaps for two valleys of the graphene hexagonal
lattice are the same, the charge densities corresponding to the separate
valleys cancel each other, whereas the azimuthal current is doubled.
|
[
{
"created": "Tue, 9 Aug 2016 08:01:13 GMT",
"version": "v1"
}
] |
2016-11-15
|
[
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Grigoryan",
"A. Kh.",
""
]
] |
For a massive quantum fermionic field, we investigate the vacuum expectation values (VEVs) of the charge and current densities induced by an external magnetic flux in a two-dimensional circular ring. Both the irreducible representations of the Clifford algebra are considered. On the ring edges the bag (infinite mass) boundary conditions are imposed for the field operator. This leads to the Casimir type effect on the vacuum characteristics. The radial current vanishes. The charge and the azimuthal current are decomposed into the boundary-free and boundary-induced contributions. Both these contributions are odd periodic functions of the magnetic flux with the period equal to the flux quantum. An important feature that distinguishes the VEVs of the charge and current densities from the VEV of the energy density, is their finiteness on the ring edges. The current density is equal to the charge density for the outer edge and has the opposite sign on the inner edge. The VEVs are peaked near the inner edge and, as functions of the field mass, exhibit quite different features for two inequivalent representations of the Clifford algebra. We show that, unlike the VEVs in the boundary-free geometry, the vacuum charge and the current in the ring are continuous functions of the magnetic flux and vanish for half-odd integer values of the flux in units of the flux quantum. Combining the results for two irreducible representations, we also investigate the induced charge and current in parity and time-reversal symmetric models. The corresponding results are applied to graphene rings with the electronic subsystem described in terms of the effective Dirac theory with the energy gap. If the energy gaps for two valleys of the graphene hexagonal lattice are the same, the charge densities corresponding to the separate valleys cancel each other, whereas the azimuthal current is doubled.
|
1812.07039
|
Zo\"e Slade
|
Zo\"e H. Slade
|
Fundamental Aspects of Asymptotic Safety in Quantum Gravity
|
PhD thesis, September 2017. 158 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis is devoted to exploring various fundamental issues within
asymptotic safety. Firstly, we study the reconstruction problem and present two
ways in which to solve it within the context of scalar field theory, by
utilising a duality relation between an effective average action and a
Wilsonian effective action. Along the way we also prove a duality relation
between two effective average actions computed with different UV cutoff
profiles. Next we investigate the requirement of background independence within
the derivative expansion of conformally reduced gravity. We show that modified
Ward identities are compatible with the flow equations if and only if either
the anomalous dimension vanishes or the cutoff profile is chosen to be power
law, and furthermore show that no solutions exist if the Ward identities are
incompatible. In the compatible case, a clear reason is found why Ward
identities can still forbid the existence of fixed points. By expanding in
vertices, we also demonstrate that the combined equations generically become
either over-constrained or highly redundant at the six-point level. Finally, we
consider the asymptotic behaviour of fixed point solutions in the $f(R)$
approximation and explain in detail how to construct them. We find that quantum
fluctuations do not decouple at large $R$, typically leading to elaborate
asymptotic solutions containing several free parameters. Depending on the value
of the endomorphism parameter, we find many other asymptotic solutions and
fixed point spaces of differing dimension.
|
[
{
"created": "Mon, 17 Dec 2018 20:29:50 GMT",
"version": "v1"
}
] |
2018-12-19
|
[
[
"Slade",
"Zoë H.",
""
]
] |
This thesis is devoted to exploring various fundamental issues within asymptotic safety. Firstly, we study the reconstruction problem and present two ways in which to solve it within the context of scalar field theory, by utilising a duality relation between an effective average action and a Wilsonian effective action. Along the way we also prove a duality relation between two effective average actions computed with different UV cutoff profiles. Next we investigate the requirement of background independence within the derivative expansion of conformally reduced gravity. We show that modified Ward identities are compatible with the flow equations if and only if either the anomalous dimension vanishes or the cutoff profile is chosen to be power law, and furthermore show that no solutions exist if the Ward identities are incompatible. In the compatible case, a clear reason is found why Ward identities can still forbid the existence of fixed points. By expanding in vertices, we also demonstrate that the combined equations generically become either over-constrained or highly redundant at the six-point level. Finally, we consider the asymptotic behaviour of fixed point solutions in the $f(R)$ approximation and explain in detail how to construct them. We find that quantum fluctuations do not decouple at large $R$, typically leading to elaborate asymptotic solutions containing several free parameters. Depending on the value of the endomorphism parameter, we find many other asymptotic solutions and fixed point spaces of differing dimension.
|
2003.02028
|
Francisco A. Brito
|
R. M. P. Neves, F. F. Santos, F. A. Brito
|
A domain wall description of brane inflation and observational aspects
|
10 pages, 1 figure; version published in PLB
|
Phys. Lett. B 810 (2020) 135813
|
10.1016/j.physletb.2020.135813
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a brane cosmology scenario by taking an inflating 3D domain wall
immersed in a five-dimensional Minkowski space in the presence of a stack of
$N$ parallel domain walls. They are static BPS solutions of the bosonic sector
of a 5D supergravity theory. However, one can move towards each other due to an
attractive force in between driven by bulk particle collisions and {\it
resonant tunneling effect}. The accelerating domain wall is a 3-brane that is
assumed to be our inflating early Universe. We analyze this inflationary phase
governed by the inflaton potential induced on the brane. We compute the
slow-roll parameters and show that the spectral index and the tensor-to-scalar
ratio are within the recent observational data.
|
[
{
"created": "Wed, 4 Mar 2020 12:06:17 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Oct 2020 17:35:31 GMT",
"version": "v2"
}
] |
2020-10-13
|
[
[
"Neves",
"R. M. P.",
""
],
[
"Santos",
"F. F.",
""
],
[
"Brito",
"F. A.",
""
]
] |
We consider a brane cosmology scenario by taking an inflating 3D domain wall immersed in a five-dimensional Minkowski space in the presence of a stack of $N$ parallel domain walls. They are static BPS solutions of the bosonic sector of a 5D supergravity theory. However, one can move towards each other due to an attractive force in between driven by bulk particle collisions and {\it resonant tunneling effect}. The accelerating domain wall is a 3-brane that is assumed to be our inflating early Universe. We analyze this inflationary phase governed by the inflaton potential induced on the brane. We compute the slow-roll parameters and show that the spectral index and the tensor-to-scalar ratio are within the recent observational data.
|
2311.02439
|
Abdelmalek Boumali
|
Abdelmalek Bouzenada and Abdelmalek Boumali and RLL Vitoria and C
Furtado
|
Dynamics of a Klein-Gordon Oscillator (KGO) in the Presence of a Cosmic
String in Som-Raychaudhuri Space-Time
| null | null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
This paper explores the dynamics of the Klein-Gordon oscillator in the
presence of a cosmic string in Som Raychaudhuri spacetime. The exact solutions
for the free case and the oscillator case are obtained and discussed. These
solutions reveal the effects of the cosmic string and the spacetime geometry on
the bosonic particles. To illustrate these results, some figures and tables
have been included.
|
[
{
"created": "Sat, 4 Nov 2023 15:42:37 GMT",
"version": "v1"
}
] |
2023-11-07
|
[
[
"Bouzenada",
"Abdelmalek",
""
],
[
"Boumali",
"Abdelmalek",
""
],
[
"Vitoria",
"RLL",
""
],
[
"Furtado",
"C",
""
]
] |
This paper explores the dynamics of the Klein-Gordon oscillator in the presence of a cosmic string in Som Raychaudhuri spacetime. The exact solutions for the free case and the oscillator case are obtained and discussed. These solutions reveal the effects of the cosmic string and the spacetime geometry on the bosonic particles. To illustrate these results, some figures and tables have been included.
|
hep-th/9202081
|
Takama Michiaki
|
Michiaki Takama
|
Matrix model with superconformal symmetry
|
7pp
|
Phys.Lett. B284 (1992) 248-252
|
10.1016/0370-2693(92)90428-7
| null |
hep-th
| null |
A matrix model is presented which leads to the discrete ``eigenvalue model''
proposed recently by Alvarez-Gaum\'e {\it et.al.} for 2D supergravity (coupled
to superconformal matters).
|
[
{
"created": "Mon, 24 Feb 1992 13:14:22 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 1992 11:16:03 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Takama",
"Michiaki",
""
]
] |
A matrix model is presented which leads to the discrete ``eigenvalue model'' proposed recently by Alvarez-Gaum\'e {\it et.al.} for 2D supergravity (coupled to superconformal matters).
|
hep-th/0010040
|
Yutaka Matsuo
|
Y. Matsuo and Y. Shibusa
|
Volume Preserving Diffeomorphism and Noncommutative Branes
|
14 pages, LaTeX file
|
JHEP 0102:006,2001
|
10.1088/1126-6708/2001/02/006
|
UT-911
|
hep-th
| null |
We give a representation of the volume preserving diffeomorphism of $\bR^p$
in terms of the noncommutative (p-2)-branes whose kinetic term is described by
the Hopf term. In the static gauge, the (p-2)-brane can be described by the
free fields and it suggests that the quantization of the algebra is possible.
|
[
{
"created": "Fri, 6 Oct 2000 07:54:54 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Matsuo",
"Y.",
""
],
[
"Shibusa",
"Y.",
""
]
] |
We give a representation of the volume preserving diffeomorphism of $\bR^p$ in terms of the noncommutative (p-2)-branes whose kinetic term is described by the Hopf term. In the static gauge, the (p-2)-brane can be described by the free fields and it suggests that the quantization of the algebra is possible.
|
2406.09752
|
Maki Takeuchi
|
Yuta Hamada, Maki Takeuchi
|
Swampland Bounds on Magnetized Extra Dimensions
|
18 pages, 6 figures
| null | null |
KEK-TH-2628
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a six-dimensional $U(1)$ gauge theory compactified on
two-dimensional manifolds. The number of chiral fermions is determined by the
flux quantization number on the two-dimensional compact manifolds. Using the
Swampland Conjectures, we find constraints among the parameters of the theory:
the flux quantization number, the compactification scale, and the string scale.
Specifically, the Weak Gravity Conjecture and the Trans-Planckian Censorship
Conjecture give non-trivial bounds.
|
[
{
"created": "Fri, 14 Jun 2024 06:38:32 GMT",
"version": "v1"
}
] |
2024-06-18
|
[
[
"Hamada",
"Yuta",
""
],
[
"Takeuchi",
"Maki",
""
]
] |
We consider a six-dimensional $U(1)$ gauge theory compactified on two-dimensional manifolds. The number of chiral fermions is determined by the flux quantization number on the two-dimensional compact manifolds. Using the Swampland Conjectures, we find constraints among the parameters of the theory: the flux quantization number, the compactification scale, and the string scale. Specifically, the Weak Gravity Conjecture and the Trans-Planckian Censorship Conjecture give non-trivial bounds.
|
1812.05258
|
Wenhe Cai
|
Wenhe Cai, Xian-Hui Ge, QingBing Wang
|
Sound modes and stability of momentum dissipated black branes in
holography
|
22 pages, 6 figures
|
Phys. Rev. D 99, 106006 (2019)
|
10.1103/PhysRevD.99.106006
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We systematically investigate the sound modes of momentum dissipated
holographic systems. In particular, we focus on the Einstein-linear axions and
the Einstein-Maxwell-dilaton-axion theories in four-dimensional bulk spacetime
dimensions. The sound velocities of the two theories are computed respectively
and the sound attenuation of the Einstein-Maxwell-axion theory is also
calculated analytically. We also obtain numeral dispersion relations in the two
theories which match with our analytical results. Our results show that the
sound velocity of the Einstein-Maxwell-dilaton theory with additional linear
axion fields is equivalent to that of 2 + 1 - dimensional
Banados-Teitelboim-Zanelli black holes. It allowed us to compare our solution
of the Einstein-linear axions theory with that of systems without translational
invariance from another method. After the computation on the sound velocity, we
calculate the quasinormal modes of scalar-type fluctuations in the
Einstein-Maxwell-dilaton-axion theory. The results show that a dynamical
instability is observed under the condition that the null energy condition is
violated.
|
[
{
"created": "Thu, 13 Dec 2018 04:27:32 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2019 07:14:32 GMT",
"version": "v2"
},
{
"created": "Sun, 19 May 2019 10:59:22 GMT",
"version": "v3"
}
] |
2019-05-22
|
[
[
"Cai",
"Wenhe",
""
],
[
"Ge",
"Xian-Hui",
""
],
[
"Wang",
"QingBing",
""
]
] |
We systematically investigate the sound modes of momentum dissipated holographic systems. In particular, we focus on the Einstein-linear axions and the Einstein-Maxwell-dilaton-axion theories in four-dimensional bulk spacetime dimensions. The sound velocities of the two theories are computed respectively and the sound attenuation of the Einstein-Maxwell-axion theory is also calculated analytically. We also obtain numeral dispersion relations in the two theories which match with our analytical results. Our results show that the sound velocity of the Einstein-Maxwell-dilaton theory with additional linear axion fields is equivalent to that of 2 + 1 - dimensional Banados-Teitelboim-Zanelli black holes. It allowed us to compare our solution of the Einstein-linear axions theory with that of systems without translational invariance from another method. After the computation on the sound velocity, we calculate the quasinormal modes of scalar-type fluctuations in the Einstein-Maxwell-dilaton-axion theory. The results show that a dynamical instability is observed under the condition that the null energy condition is violated.
|
1905.05455
|
Aleksandr Ivanov
|
A. V. Ivanov
|
Diagram technique for the heat kernel of the covariant Laplace operator
|
LaTeX, 20 pages, 16 figures, presented at QFTHEP'2017 and CQIS-2017.
In this version of paper some arithmetic mistakes were corrected
|
Theoretical and Mathematical Physics, 2019, 198:1, 100-117
|
10.1134/S0040577919010070
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a diagram technique used to calculate the Seeley-DeWitt
coefficients for a covariant Laplace operator. We use the combinatorial
properties of the coefficients to construct a matrix formalism and derive a
formula for an arbitrary coefficient.
|
[
{
"created": "Tue, 14 May 2019 08:40:20 GMT",
"version": "v1"
}
] |
2019-05-15
|
[
[
"Ivanov",
"A. V.",
""
]
] |
We present a diagram technique used to calculate the Seeley-DeWitt coefficients for a covariant Laplace operator. We use the combinatorial properties of the coefficients to construct a matrix formalism and derive a formula for an arbitrary coefficient.
|
hep-th/0410213
|
Archil Kobakhidze
|
Archil Kobakhidze and Laura Mersini-Houghton
|
Birth of the Universe from the Landscape of String Theory
|
4 pp, no figures
|
Eur.Phys.J.C49:869-873,2007
|
10.1140/epjc/s10052-006-0155-9
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We show that a unique, most probable and stable solution for the wavefunction
of the universe, with a very small cosmological constant $\Lambda_1 \simeq
(\frac{\pi}{l_p N})^2$, can be predicted from the supersymmetric minisuperspace
with $N$ vacua, of the landscape of string theory without reffering to the
antropic principle. Due to the nearest neighbor tunneling in moduli space
lattice, the $N$-fold degeneracy of vacua is lifted and a discrete spectrum of
bound state levels over the whole minisuperspace emerges. $SUSY$ is
spontaneously broken by these bound states, with discrete nonzero energy levels
$\Lambda_s \simeq (\frac{s \pi}{l_p N})^2$, $s = 1,2,..$.
|
[
{
"created": "Wed, 20 Oct 2004 22:47:31 GMT",
"version": "v1"
}
] |
2011-09-13
|
[
[
"Kobakhidze",
"Archil",
""
],
[
"Mersini-Houghton",
"Laura",
""
]
] |
We show that a unique, most probable and stable solution for the wavefunction of the universe, with a very small cosmological constant $\Lambda_1 \simeq (\frac{\pi}{l_p N})^2$, can be predicted from the supersymmetric minisuperspace with $N$ vacua, of the landscape of string theory without reffering to the antropic principle. Due to the nearest neighbor tunneling in moduli space lattice, the $N$-fold degeneracy of vacua is lifted and a discrete spectrum of bound state levels over the whole minisuperspace emerges. $SUSY$ is spontaneously broken by these bound states, with discrete nonzero energy levels $\Lambda_s \simeq (\frac{s \pi}{l_p N})^2$, $s = 1,2,..$.
|
1002.1733
|
Niklas Beisert
|
Niklas Beisert, Johannes Henn, Tristan McLoughlin, Jan Plefka
|
One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes
in N=4 Super Yang-Mills
|
64 pages, v2: typos and minor corrections in (6.14) and (6.17), to
appear in JHEP
|
JHEP 1004:085,2010
|
10.1007/JHEP04(2010)085
|
AEI-2010-019, HU-EP-10/06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently it has been argued that tree-level scattering amplitudes in N=4
Yang-Mills theory are uniquely determined by a careful study of their
superconformal and Yangian symmetries. However, at one-loop order these
symmetries are known to become anomalous due to infrared divergences. We
compute these one-loop anomalies for amplitudes defined through dimensional
regularisation by studying the tree-level symmetry transformations of the
unitarity branch cuts, keeping track of the crucial collinear terms arising
from the holomorphic anomaly. We extract the superconformal anomalies and show
that they may be cancelled through a universal one-loop deformation of the
tree-level symmetry generators which involves only tree-level data.
Specialising to the planar theory we also obtain the analogous deformation for
the level-one Yangian generator of momentum. Explicit checks of our one-loop
deformation are performed for MHV and the 6-point NMHV amplitudes.
|
[
{
"created": "Tue, 9 Feb 2010 15:55:50 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Apr 2010 13:45:56 GMT",
"version": "v2"
}
] |
2010-04-22
|
[
[
"Beisert",
"Niklas",
""
],
[
"Henn",
"Johannes",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Plefka",
"Jan",
""
]
] |
Recently it has been argued that tree-level scattering amplitudes in N=4 Yang-Mills theory are uniquely determined by a careful study of their superconformal and Yangian symmetries. However, at one-loop order these symmetries are known to become anomalous due to infrared divergences. We compute these one-loop anomalies for amplitudes defined through dimensional regularisation by studying the tree-level symmetry transformations of the unitarity branch cuts, keeping track of the crucial collinear terms arising from the holomorphic anomaly. We extract the superconformal anomalies and show that they may be cancelled through a universal one-loop deformation of the tree-level symmetry generators which involves only tree-level data. Specialising to the planar theory we also obtain the analogous deformation for the level-one Yangian generator of momentum. Explicit checks of our one-loop deformation are performed for MHV and the 6-point NMHV amplitudes.
|
1010.2079
|
Mehmet Ali Olpak
|
Mehmet Ali Olpak
|
Quantum Mechanics on Curved Hypersurfaces
|
39 pages, M. Sc. Thesis, incorporates minor corrections in the text
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, Schr\"odinger and Dirac equations will be examined in
geometries that confine the particles to hypersurfaces. For this purpose, two
methods will be considered. The first method is the thin layer method which
relies on explicit use of geometrical relations and the squeezing of a certain
coordinate of space (or spacetime). The second is Dirac's quantization
procedure involving the modification of canonical quantization making use of
the geometrical constraints. For the Dirac equation, only the first method will
be considered. Lastly, the results of the two methods will be compared and some
notes on the differences between the results will be included.
|
[
{
"created": "Mon, 11 Oct 2010 12:04:41 GMT",
"version": "v1"
}
] |
2010-10-12
|
[
[
"Olpak",
"Mehmet Ali",
""
]
] |
In this work, Schr\"odinger and Dirac equations will be examined in geometries that confine the particles to hypersurfaces. For this purpose, two methods will be considered. The first method is the thin layer method which relies on explicit use of geometrical relations and the squeezing of a certain coordinate of space (or spacetime). The second is Dirac's quantization procedure involving the modification of canonical quantization making use of the geometrical constraints. For the Dirac equation, only the first method will be considered. Lastly, the results of the two methods will be compared and some notes on the differences between the results will be included.
|
hep-th/0409124
|
Sergei Dubovsky
|
S.L.Dubovsky
|
Phases of massive gravity
|
36 pages, 1 figure
|
JHEP0410:076,2004
|
10.1088/1126-6708/2004/10/076
| null |
hep-th astro-ph hep-ph
| null |
We systematically study the most general Lorentz-violating graviton mass
invariant under three-dimensional Eucledian group using the explicitly
covariant language. We find that at general values of mass parameters the
massive graviton has six propagating degrees of freedom, and some of them are
ghosts or lead to rapid classical instabilities. However, there is a number of
different regions in the mass parameter space where massive gravity can be
described by a consistent low-energy effective theory with cutoff
$\sim\sqrt{mM_{Pl}}$ free of rapid instabilities and vDVZ discontinuity. Each
of these regions is characterized by certain fine-tuning relations between mass
parameters, generalizing the Fierz--Pauli condition. In some cases the required
fine-tunings are consequences of the existence of the subgroups of the
diffeomorphism group that are left unbroken by the graviton mass. We found two
new cases, when the resulting theories have a property of UV insensitivity,
i.e. remain well behaved after inclusion of arbitrary higher dimension
operators without assuming any fine-tunings among the coefficients of these
operators, besides those enforced by the symmetries. These theories can be
thought of as generalizations of the ghost condensate model with a smaller
residual symmetry group. We briefly discuss what kind of cosmology can one
expect in massive gravity and argue that the allowed values of the graviton
mass may be quite large, affecting growth of primordial perturbations,
structure formation and, perhaps, enhancing the backreaction of inhomogeneities
on the expansion rate of the Universe.
|
[
{
"created": "Mon, 13 Sep 2004 19:40:25 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Nov 2004 19:00:55 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Dubovsky",
"S. L.",
""
]
] |
We systematically study the most general Lorentz-violating graviton mass invariant under three-dimensional Eucledian group using the explicitly covariant language. We find that at general values of mass parameters the massive graviton has six propagating degrees of freedom, and some of them are ghosts or lead to rapid classical instabilities. However, there is a number of different regions in the mass parameter space where massive gravity can be described by a consistent low-energy effective theory with cutoff $\sim\sqrt{mM_{Pl}}$ free of rapid instabilities and vDVZ discontinuity. Each of these regions is characterized by certain fine-tuning relations between mass parameters, generalizing the Fierz--Pauli condition. In some cases the required fine-tunings are consequences of the existence of the subgroups of the diffeomorphism group that are left unbroken by the graviton mass. We found two new cases, when the resulting theories have a property of UV insensitivity, i.e. remain well behaved after inclusion of arbitrary higher dimension operators without assuming any fine-tunings among the coefficients of these operators, besides those enforced by the symmetries. These theories can be thought of as generalizations of the ghost condensate model with a smaller residual symmetry group. We briefly discuss what kind of cosmology can one expect in massive gravity and argue that the allowed values of the graviton mass may be quite large, affecting growth of primordial perturbations, structure formation and, perhaps, enhancing the backreaction of inhomogeneities on the expansion rate of the Universe.
|
hep-th/9507036
|
Ori Ganor
|
O. Ganor, J. Sonnenschein
|
The "Dual" Variables Of Yang-Mills Theory And Local Gauge Invariant
Variables
|
34pp, LaTeX, Corrections in references
|
Int.J.Mod.Phys. A11 (1996) 5701-5728
|
10.1142/S0217751X96002625
|
TAUP-2274-95
|
hep-th
| null |
After adding auxiliary fields and integrating out the original variables, the
Yang-Mills action can be expressed in terms of local gauge invariant variables.
This method reproduces the known solution of the two dimensional $SU(N)$
theory. In more than two dimensions the action splits into a topological part
and a part proportional to $\alpha_s$. We demonstrate the procedure for $SU(2)$
in three dimensions where we reproduce a gravity-like theory. We discuss the
four dimensional case as well. We use a cubic expression in the fields as a
space-time metric to obtain a covariant Lagrangian. We also show how the
four-dimensional $SU(2)$ theory can be expressed in terms of a local action
with six degrees of freedom only.
|
[
{
"created": "Thu, 6 Jul 1995 19:23:04 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 1995 12:26:26 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Aug 1995 11:27:06 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Ganor",
"O.",
""
],
[
"Sonnenschein",
"J.",
""
]
] |
After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge invariant variables. This method reproduces the known solution of the two dimensional $SU(N)$ theory. In more than two dimensions the action splits into a topological part and a part proportional to $\alpha_s$. We demonstrate the procedure for $SU(2)$ in three dimensions where we reproduce a gravity-like theory. We discuss the four dimensional case as well. We use a cubic expression in the fields as a space-time metric to obtain a covariant Lagrangian. We also show how the four-dimensional $SU(2)$ theory can be expressed in terms of a local action with six degrees of freedom only.
|
1309.7344
|
Uri Kol
|
Uri Kol
|
On the dual flow of slow-roll Inflation
|
20 pages. v2: minor changes, references added. v3: version to appear
in JHEP
| null |
10.1007/JHEP01(2014)017
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dual 3d Euclidean RG flow of single-field slow-roll Inflation
using the postulates of the dS/CFT correspondence. For that purpose we solve
for the inflationary fluctuation at all times using a matching procedure
between two approximate solutions which are separately valid at different
regions of the space of parameters but together cover all of it. The two modes
of the full solution mix such that each of the modes at late times is a
superposition of the modes in the quasi-de Sitter region. We find that the dual
theory admits two phases of explicit and spontaneous breaking of conformal
symmetry.
We also find that the mixing effect between the two modes in the bulk implies
that slow-roll inflation does not guarantee, but rather generically generates,
a nearly scale invariant power spectrum, except in fine-tuned situations. We
suggest that the mixing effect can have a unique signature on other
cosmological observables such as the bispectrum.
|
[
{
"created": "Fri, 27 Sep 2013 19:58:22 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Oct 2013 20:10:45 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Dec 2013 07:57:41 GMT",
"version": "v3"
}
] |
2015-06-17
|
[
[
"Kol",
"Uri",
""
]
] |
We study the dual 3d Euclidean RG flow of single-field slow-roll Inflation using the postulates of the dS/CFT correspondence. For that purpose we solve for the inflationary fluctuation at all times using a matching procedure between two approximate solutions which are separately valid at different regions of the space of parameters but together cover all of it. The two modes of the full solution mix such that each of the modes at late times is a superposition of the modes in the quasi-de Sitter region. We find that the dual theory admits two phases of explicit and spontaneous breaking of conformal symmetry. We also find that the mixing effect between the two modes in the bulk implies that slow-roll inflation does not guarantee, but rather generically generates, a nearly scale invariant power spectrum, except in fine-tuned situations. We suggest that the mixing effect can have a unique signature on other cosmological observables such as the bispectrum.
|
1502.02631
|
Daniele Musso
|
Andrea Amoretti and Daniele Musso
|
Magneto-transport from momentum dissipating holography
|
23 pages
|
JHEP 1509 (2015) 094
|
10.1007/JHEP09(2015)094
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain explicit expressions for the thermoelectric transport coefficients
of a strongly coupled, planar medium in the presence of an orthogonal magnetic
field and momentum-dissipating processes. The computations are performed within
the gauge/gravity framework where the momentum dissipation mechanism is
introduced by including a mass term for the bulk graviton. Relying on the
structure of the computed transport coefficients and promoting the parameters
to become dynamical functions, we propose a holography inspired phenomenology
open to a direct comparison with experimental data from the cuprates.
|
[
{
"created": "Mon, 9 Feb 2015 19:55:47 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Sep 2015 10:01:09 GMT",
"version": "v2"
}
] |
2015-11-19
|
[
[
"Amoretti",
"Andrea",
""
],
[
"Musso",
"Daniele",
""
]
] |
We obtain explicit expressions for the thermoelectric transport coefficients of a strongly coupled, planar medium in the presence of an orthogonal magnetic field and momentum-dissipating processes. The computations are performed within the gauge/gravity framework where the momentum dissipation mechanism is introduced by including a mass term for the bulk graviton. Relying on the structure of the computed transport coefficients and promoting the parameters to become dynamical functions, we propose a holography inspired phenomenology open to a direct comparison with experimental data from the cuprates.
|
0902.1999
|
David Kubiznak
|
David Kubiznak
|
On the supersymmetric limit of Kerr-NUT-AdS metrics
|
8 pages, no figures, v2:upgraded references and corrected typos
|
Phys.Lett.B675:110-115, 2009
|
10.1016/j.physletb.2009.03.050
|
DAMTP-2009-8
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generalizing the scaling limit of Martelli and Sparks [hep-th/0505027] into
an arbitrary number of spacetime dimensions we re-obtain the (most general
explicitly known) Einstein-Sasaki spaces constructed by Chen, Lu, and Pope
[hep-th/0604125]. We demonstrate that this limit has a well-defined geometrical
meaning which links together the principal conformal Killing-Yano tensor of the
original Kerr-NUT-(A)dS spacetime, the Kahler 2-form of the resulting
Einstein-Kahler base, and the Sasakian 1-form of the final Einstein-Sasaki
space. The obtained Einstein-Sasaki space possesses the tower of Killing-Yano
tensors of increasing rank, underlined by the existence of Killing spinors. A
similar tower of hidden symmetries is observed in the original
(odd-dimensional) Kerr-NUT-(A)dS spacetime. This rises an interesting question
whether also these symmetries can be related to the existence of some
"generalized" Killing spinor.
|
[
{
"created": "Wed, 11 Feb 2009 21:37:26 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Apr 2009 21:12:26 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Kubiznak",
"David",
""
]
] |
Generalizing the scaling limit of Martelli and Sparks [hep-th/0505027] into an arbitrary number of spacetime dimensions we re-obtain the (most general explicitly known) Einstein-Sasaki spaces constructed by Chen, Lu, and Pope [hep-th/0604125]. We demonstrate that this limit has a well-defined geometrical meaning which links together the principal conformal Killing-Yano tensor of the original Kerr-NUT-(A)dS spacetime, the Kahler 2-form of the resulting Einstein-Kahler base, and the Sasakian 1-form of the final Einstein-Sasaki space. The obtained Einstein-Sasaki space possesses the tower of Killing-Yano tensors of increasing rank, underlined by the existence of Killing spinors. A similar tower of hidden symmetries is observed in the original (odd-dimensional) Kerr-NUT-(A)dS spacetime. This rises an interesting question whether also these symmetries can be related to the existence of some "generalized" Killing spinor.
|
hep-th/0505256
|
Kazuya Koyama
|
Kayoko Koyama, Kazuya Koyama
|
Gravitational backreaction of anti-D branes in the warped
compactification
|
typos corrected, 11 pages, 3 figures
|
Class.Quant.Grav. 22 (2005) 3431-3442
|
10.1088/0264-9381/22/17/005
| null |
hep-th gr-qc
| null |
We derive a low-energy effective theory for gravity with anti-D branes, which
are essential to get de Sitter solutions in the type IIB string warped
compactification, by taking account of gravitational backreactions of anti-D
branes. In order to see the effects of the self-gravity of anti-D branes, a
simplified model is studied where a 5-dimensional anti-de Sitter ({\it AdS})
spacetime is realized by the bulk cosmological constant and the 5-form flux,
and anti-D branes are coupled to the 5-form field by Chern-Simon terms. The
{\it AdS} spacetime is truncated by introducing UV and IR cut-off branes like
the Randall-Sundrum model. We derive an effective theory for gravity on the UV
brane and reproduce the familiar result that the tensions of the anti-D branes
give potentials suppressed by the forth-power of the warp factor at the
location of the anti-D branes. However, in this simplified model, the potential
energy never inflates the UV brane, although the anti-D-branes are inflating.
The UV brane is dominated by dark radiation coming from the projection of the
5-dimensional Weyl tensor, unless the moduli fields for the anti-D branes are
stabilized. We comment on the possibility of avoiding this problem in a
realistic string theory compactification.
|
[
{
"created": "Sun, 29 May 2005 09:45:01 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2005 14:51:42 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Koyama",
"Kayoko",
""
],
[
"Koyama",
"Kazuya",
""
]
] |
We derive a low-energy effective theory for gravity with anti-D branes, which are essential to get de Sitter solutions in the type IIB string warped compactification, by taking account of gravitational backreactions of anti-D branes. In order to see the effects of the self-gravity of anti-D branes, a simplified model is studied where a 5-dimensional anti-de Sitter ({\it AdS}) spacetime is realized by the bulk cosmological constant and the 5-form flux, and anti-D branes are coupled to the 5-form field by Chern-Simon terms. The {\it AdS} spacetime is truncated by introducing UV and IR cut-off branes like the Randall-Sundrum model. We derive an effective theory for gravity on the UV brane and reproduce the familiar result that the tensions of the anti-D branes give potentials suppressed by the forth-power of the warp factor at the location of the anti-D branes. However, in this simplified model, the potential energy never inflates the UV brane, although the anti-D-branes are inflating. The UV brane is dominated by dark radiation coming from the projection of the 5-dimensional Weyl tensor, unless the moduli fields for the anti-D branes are stabilized. We comment on the possibility of avoiding this problem in a realistic string theory compactification.
|
hep-th/0307035
|
Alexander A. Osipov
|
Alexander A. Osipov and Brigitte Hiller
|
Path Integral Bosonization of the 't Hooft Determinant: Quasiclassical
Corrections
|
LaTeX, 19 pages, 6 figures, more detailed discussions, references
added, prepared for Eur.Phys.J.C
|
Eur.Phys.J.C35:223-241,2004
|
10.1140/epjc/s2004-01779-3
| null |
hep-th
| null |
The many-fermion Lagrangian which includes the 't Hooft six-quark flavor
mixing interaction (N_f=3) and the U_L(3)\times U_R(3) chiral symmetric
four-quark Nambu -- Jona-Lasinio (NJL) type interactions is bosonized by the
path integral method. The method of the steepest descents is used to derive the
effective quark-mesonic Lagrangian with linearized many-fermion vertices. We
obtain, additionally to the known lowest order stationary phase result of
Reinhardt and Alkofer, the next to leading order (NLO) contribution arising
from quantum fluctuations of auxiliary bosonic fields around their stationary
phase trajectories (the Gaussian integral contribution). Using the gap equation
we construct the effective potential, from which the structure of the vacuum
can be settled. For some set of parameters the effective potential has several
extrema, that in the case of SU(2)_I\times U(1)_Y flavor symmetry can be
understood on topological grounds. With increasing strength of the fluctuations
the spontaneously broken phase gets unstable and the trivial vacuum is
restored. The effective potential reveals furthermore the existence of
logarithmic singularities at certain field expectation values, signalizing
caustic regions.
|
[
{
"created": "Thu, 3 Jul 2003 11:57:37 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Sep 2003 14:53:36 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Mar 2004 15:31:32 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Osipov",
"Alexander A.",
""
],
[
"Hiller",
"Brigitte",
""
]
] |
The many-fermion Lagrangian which includes the 't Hooft six-quark flavor mixing interaction (N_f=3) and the U_L(3)\times U_R(3) chiral symmetric four-quark Nambu -- Jona-Lasinio (NJL) type interactions is bosonized by the path integral method. The method of the steepest descents is used to derive the effective quark-mesonic Lagrangian with linearized many-fermion vertices. We obtain, additionally to the known lowest order stationary phase result of Reinhardt and Alkofer, the next to leading order (NLO) contribution arising from quantum fluctuations of auxiliary bosonic fields around their stationary phase trajectories (the Gaussian integral contribution). Using the gap equation we construct the effective potential, from which the structure of the vacuum can be settled. For some set of parameters the effective potential has several extrema, that in the case of SU(2)_I\times U(1)_Y flavor symmetry can be understood on topological grounds. With increasing strength of the fluctuations the spontaneously broken phase gets unstable and the trivial vacuum is restored. The effective potential reveals furthermore the existence of logarithmic singularities at certain field expectation values, signalizing caustic regions.
|
hep-th/9902023
|
Konstantin G. Savvidy
|
K. Savvidy, G. Savvidy
|
Neumann Boundary Conditions from Born-Infeld Dynamics
|
Some typos, reference added. 9 pages, 2 figures, LaTex
|
Nucl.Phys.B561:117-124,1999
|
10.1016/S0550-3213(99)00504-0
|
PUPT-1835
|
hep-th
| null |
We show that certain excitations of the F-string/D3-brane system can be shown
to obey Neumann boundary conditions by considering Born-Infeld dynamics of the
F-string (viewed as a 3-brane cylindrically wrapped on an $S_2$). Excitations
which are coming down the string with a polarization along a direction parallel
to the brane are almost completely reflected just as in the case of all-normal
excitations, but the end of the string moves freely on the 3-brane, thus
realizing Polchinski's open string Neumann boundary condition dynamically. In
the low energy limit w -> 0, i.e. for wavelengths much larger than the string
scale only a small fraction ~w^4 of the energy escapes in the form of dipole
radiation. The physical interpretation is that a string attached to the 3-brane
manifests itself as an electric charge, and waves on the string cause the end
point of the string to freely oscillate and therefore produce electromagnetic
dipole radiation in the asymptotic outer region.
|
[
{
"created": "Tue, 2 Feb 1999 19:10:24 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 1999 20:48:52 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Feb 1999 20:08:42 GMT",
"version": "v3"
}
] |
2010-05-27
|
[
[
"Savvidy",
"K.",
""
],
[
"Savvidy",
"G.",
""
]
] |
We show that certain excitations of the F-string/D3-brane system can be shown to obey Neumann boundary conditions by considering Born-Infeld dynamics of the F-string (viewed as a 3-brane cylindrically wrapped on an $S_2$). Excitations which are coming down the string with a polarization along a direction parallel to the brane are almost completely reflected just as in the case of all-normal excitations, but the end of the string moves freely on the 3-brane, thus realizing Polchinski's open string Neumann boundary condition dynamically. In the low energy limit w -> 0, i.e. for wavelengths much larger than the string scale only a small fraction ~w^4 of the energy escapes in the form of dipole radiation. The physical interpretation is that a string attached to the 3-brane manifests itself as an electric charge, and waves on the string cause the end point of the string to freely oscillate and therefore produce electromagnetic dipole radiation in the asymptotic outer region.
|
hep-th/0412289
|
Hugo Montani
|
A. Cabrera and H. Montani
|
Hamiltonian Loop Group Actions and T-Duality for group manifolds
|
34 pages
|
J.Geom.Phys. 56 (2006) 1116-1143
|
10.1016/j.geomphys.2005.06.006
| null |
hep-th
| null |
We carry out a Hamiltonian analysis of Poisson-Lie T-duality based on the
loop geometry of the underlying phases spaces of the dual sigma and WZW models.
Duality is fully characterized by the existence of equivariant momentum maps on
the phase spaces such that the reduced phase space of the WZW model and a pure
central extension coadjoint orbit work as a bridge linking both the sigma
models. These momentum maps are associated to Hamiltonian actions of the loop
group of the Drinfeld double on both spaces and the duality transformations are
explicitly constructed in terms of these actions. Compatible dynamics arise in
a general collective form and the resulting Hamiltonian description encodes all
known aspects of this duality and its generalizations.
|
[
{
"created": "Thu, 23 Dec 2004 18:26:21 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2005 12:42:01 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Cabrera",
"A.",
""
],
[
"Montani",
"H.",
""
]
] |
We carry out a Hamiltonian analysis of Poisson-Lie T-duality based on the loop geometry of the underlying phases spaces of the dual sigma and WZW models. Duality is fully characterized by the existence of equivariant momentum maps on the phase spaces such that the reduced phase space of the WZW model and a pure central extension coadjoint orbit work as a bridge linking both the sigma models. These momentum maps are associated to Hamiltonian actions of the loop group of the Drinfeld double on both spaces and the duality transformations are explicitly constructed in terms of these actions. Compatible dynamics arise in a general collective form and the resulting Hamiltonian description encodes all known aspects of this duality and its generalizations.
|
1402.7039
|
Bernd J. Schroers
|
Bernd J. Schroers and Matthias Wilhelm
|
Towards Non-Commutative Deformations of Relativistic Wave Equations in
2+1 Dimensions
| null |
SIGMA 10 (2014), 053, 23 pages
|
10.3842/SIGMA.2014.053
|
HU-Mathematik-2014-02, HU-EP-14/07, EMPG-14-4
|
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We consider the deformation of the Poincar\'e group in 2+1 dimensions into
the quantum double of the Lorentz group and construct Lorentz-covariant
momentum-space formulations of the irreducible representations describing
massive particles with spin 0, 1/2 and 1 in the deformed theory. We discuss
ways of obtaining non-commutative versions of relativistic wave equations like
the Klein-Gordon, Dirac and Proca equations in 2+1 dimensions by applying a
suitably defined Fourier transform, and point out the relation between
non-commutative Dirac equations and the exponentiated Dirac operator considered
by Atiyah and Moore.
|
[
{
"created": "Thu, 27 Feb 2014 19:43:52 GMT",
"version": "v1"
},
{
"created": "Tue, 20 May 2014 04:43:24 GMT",
"version": "v2"
}
] |
2014-05-21
|
[
[
"Schroers",
"Bernd J.",
""
],
[
"Wilhelm",
"Matthias",
""
]
] |
We consider the deformation of the Poincar\'e group in 2+1 dimensions into the quantum double of the Lorentz group and construct Lorentz-covariant momentum-space formulations of the irreducible representations describing massive particles with spin 0, 1/2 and 1 in the deformed theory. We discuss ways of obtaining non-commutative versions of relativistic wave equations like the Klein-Gordon, Dirac and Proca equations in 2+1 dimensions by applying a suitably defined Fourier transform, and point out the relation between non-commutative Dirac equations and the exponentiated Dirac operator considered by Atiyah and Moore.
|
0801.2581
|
Massimo Porrati
|
M. Porrati and R. Rahman
|
Intrinsic Cutoff and Acausality for Massive Spin 2 Fields Coupled to
Electromagnetism
|
14 pages, to appear in Nuclear Physics B
|
Nucl.Phys.B801:174-186,2008
|
10.1016/j.nuclphysb.2008.05.013
| null |
hep-th
| null |
We couple a massive spin 2 particle to electromagnetism. By introducing new,
redundant degrees of freedom using the Stueckelberg formalism, we extract an
intrinsic, model independent UV cutoff of the effective field theory describing
this system. The cutoff signals both the onset of a strongly interacting
dynamical regime and a finite size for the spin 2 particle. We show that the
existence of a cutoff is strictly connected to other pathologies of interacting
high-spin fields, such as the Velo-Zwanziger acausality. We also briefly
comment on implications of this result for the detection of high spin states
and on its possible generalization to arbitrary spin.
|
[
{
"created": "Wed, 16 Jan 2008 22:18:28 GMT",
"version": "v1"
},
{
"created": "Mon, 12 May 2008 19:16:03 GMT",
"version": "v2"
},
{
"created": "Mon, 26 May 2008 17:38:05 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Porrati",
"M.",
""
],
[
"Rahman",
"R.",
""
]
] |
We couple a massive spin 2 particle to electromagnetism. By introducing new, redundant degrees of freedom using the Stueckelberg formalism, we extract an intrinsic, model independent UV cutoff of the effective field theory describing this system. The cutoff signals both the onset of a strongly interacting dynamical regime and a finite size for the spin 2 particle. We show that the existence of a cutoff is strictly connected to other pathologies of interacting high-spin fields, such as the Velo-Zwanziger acausality. We also briefly comment on implications of this result for the detection of high spin states and on its possible generalization to arbitrary spin.
|
2202.07048
|
Mudassar Sabir
|
Mudassar Sabir, Tianjun Li, Adeel Mansha, Xiao-Chuan Wang
|
The Supersymmetry Breaking Soft Terms, and Fermion Masses and Mixings in
the Supersymmetric Pati-Salam Model from Intersecting D6-branes
|
40 pages, 6 figures. Figure 2 is corrected
|
JHEP 04 (2022) 089
|
10.1007/JHEP04(2022)089
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A supersymmetric Pati-Salam model with wrapping number equal to 5 has been
constructed in Type IIA orientifolds on $\mathbf{T}^6/(\mathbb{Z}_2\times
\mathbb{Z}_2)$ with intersecting D6-branes recently. In particular, the
string-scale gauge coupling unification can be achieved due to the
intermediate-scale vector-like particles from $\mathcal{N}=2$ sector. We
calculate the supersymmetry breaking soft terms, and study the Standard Model
(SM) fermion masses and mixings. There are nine pairs of Higgs doublets from
$\mathcal{N}=2$ sector. Interestingly, we can explain the SM quark masses and
mixings, as well as the charged leptons masses from three point and four-point
Yukawa interactions. Moreover, we calculate the supersymmetry breaking soft
terms in a previous model with gauge coupling unification since we find a typo
in the previous study.
|
[
{
"created": "Mon, 14 Feb 2022 21:40:50 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2022 06:27:10 GMT",
"version": "v2"
}
] |
2022-09-23
|
[
[
"Sabir",
"Mudassar",
""
],
[
"Li",
"Tianjun",
""
],
[
"Mansha",
"Adeel",
""
],
[
"Wang",
"Xiao-Chuan",
""
]
] |
A supersymmetric Pati-Salam model with wrapping number equal to 5 has been constructed in Type IIA orientifolds on $\mathbf{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ with intersecting D6-branes recently. In particular, the string-scale gauge coupling unification can be achieved due to the intermediate-scale vector-like particles from $\mathcal{N}=2$ sector. We calculate the supersymmetry breaking soft terms, and study the Standard Model (SM) fermion masses and mixings. There are nine pairs of Higgs doublets from $\mathcal{N}=2$ sector. Interestingly, we can explain the SM quark masses and mixings, as well as the charged leptons masses from three point and four-point Yukawa interactions. Moreover, we calculate the supersymmetry breaking soft terms in a previous model with gauge coupling unification since we find a typo in the previous study.
|
2111.11751
|
Elena Lanina
|
E. Lanina, A. Sleptsov, and N. Tselousov
|
Implications for colored HOMFLY polynomials from explicit formulas for
group-theoretical structure
|
24 pages
|
Nuclear Physics B 974 (2022) 115644
|
10.1016/j.nuclphysb.2021.115644
| null |
hep-th math-ph math.GT math.MP math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have recently proposed arXiv:2105.11565 a powerful method for computing
group factors of the perturbative series expansion of the Wilson loop in the
Chern-Simons theory with $SU(N)$ gauge group. In this paper, we apply the
developed method to obtain and study various properties, including
nonperturbative ones, of such vacuum expectation values.
First, we discuss the computation of Vassiliev invariants. Second, we discuss
the Vogel theorem of not distinguishing chord diagrams by weight systems coming
from semisimple Lie (super)algebras. Third, we provide a method for
constructing linear recursive relations for the colored Jones polynomials
considering a special case of torus knots $T[2,2k+1]$. Fourth, we give a
generalization of the one-hook scaling property for the colored Alexander
polynomials. And finally, for the group factors we provide a combinatorial
description, which has a clear dependence on the rank $N$ and the
representation $R$.
|
[
{
"created": "Tue, 23 Nov 2021 09:54:26 GMT",
"version": "v1"
}
] |
2023-03-24
|
[
[
"Lanina",
"E.",
""
],
[
"Sleptsov",
"A.",
""
],
[
"Tselousov",
"N.",
""
]
] |
We have recently proposed arXiv:2105.11565 a powerful method for computing group factors of the perturbative series expansion of the Wilson loop in the Chern-Simons theory with $SU(N)$ gauge group. In this paper, we apply the developed method to obtain and study various properties, including nonperturbative ones, of such vacuum expectation values. First, we discuss the computation of Vassiliev invariants. Second, we discuss the Vogel theorem of not distinguishing chord diagrams by weight systems coming from semisimple Lie (super)algebras. Third, we provide a method for constructing linear recursive relations for the colored Jones polynomials considering a special case of torus knots $T[2,2k+1]$. Fourth, we give a generalization of the one-hook scaling property for the colored Alexander polynomials. And finally, for the group factors we provide a combinatorial description, which has a clear dependence on the rank $N$ and the representation $R$.
|
hep-th/9611235
|
Norisuke Sakai
|
N. Sakai
|
Supersymmetric Yang-Mills Theories in 1 + 1 Dimensions
|
17 pages, LaTeX
| null | null |
TIT/HEP-356
|
hep-th
| null |
Supersymmetric Yang-Mills theories are considered in 1+1 dimensions. Firstly
physical mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions
are evaluated in the light-cone gauge with a compact spatial dimension. The
supercharges are constructed in order to provide a manifestly supersymmetric
infrared regularization for the discretized light-cone approach. By exactly
diagonalizing the supercharge matrix between up to several hundred color
singlet bound states, we find a rapidly increasing density of states as mass
increases. Interpreting this limiting density of states as the stringbehavior,
we obtain the Hagedron temperature $\beta_H=0.676 \sqrt{\pi \over g^2 N}$.
Secondly we have examined the vacuum structure of supersymmetric Yang-Mills
theories in 1+1 dimensions. SUSY allows only periodic boundary conditions for
both fermions and bosons. By using the Born-Oppenheimer approximation for the
weak coupling limit, we find that the vacuum energy vanishes, and hence the
SUSY is unbroken. Other boundary conditions are also studied. The first part is
based on a work in collaboration with Y. Matsumura and T. Sakai. The second
part is based on a work in collaboration with H. Oda and T. Sakai.
|
[
{
"created": "Thu, 28 Nov 1996 12:53:14 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Sakai",
"N.",
""
]
] |
Supersymmetric Yang-Mills theories are considered in 1+1 dimensions. Firstly physical mass spectra of supersymmetric Yang-Mills theories in 1+1 dimensions are evaluated in the light-cone gauge with a compact spatial dimension. The supercharges are constructed in order to provide a manifestly supersymmetric infrared regularization for the discretized light-cone approach. By exactly diagonalizing the supercharge matrix between up to several hundred color singlet bound states, we find a rapidly increasing density of states as mass increases. Interpreting this limiting density of states as the stringbehavior, we obtain the Hagedron temperature $\beta_H=0.676 \sqrt{\pi \over g^2 N}$. Secondly we have examined the vacuum structure of supersymmetric Yang-Mills theories in 1+1 dimensions. SUSY allows only periodic boundary conditions for both fermions and bosons. By using the Born-Oppenheimer approximation for the weak coupling limit, we find that the vacuum energy vanishes, and hence the SUSY is unbroken. Other boundary conditions are also studied. The first part is based on a work in collaboration with Y. Matsumura and T. Sakai. The second part is based on a work in collaboration with H. Oda and T. Sakai.
|
1507.07541
|
Chris Blair
|
Chris D. A. Blair
|
Conserved Currents of Double Field Theory
|
30 pages + appendix, v2: belated update to match published version
(typos + refs fixed, some minor comments added)
|
JHEP 1604 (2016) 180
|
10.1007/JHEP04(2016)180
|
DAMTP-2015-42
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find the conserved current associated to invariance under generalised
diffeomorphisms in double field theory. This can be used to define a
generalised Komar integral. We comment on its applications to solutions, in
particular to the fundamental string/pp-wave. We also discuss the current in
the context of Scherk-Schwarz compactifications. We calculate the current for
both the original double field theory action, corresponding to the NSNS sector
alone, and for the RR sector.
|
[
{
"created": "Mon, 27 Jul 2015 19:46:16 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Aug 2016 14:06:54 GMT",
"version": "v2"
}
] |
2017-10-31
|
[
[
"Blair",
"Chris D. A.",
""
]
] |
We find the conserved current associated to invariance under generalised diffeomorphisms in double field theory. This can be used to define a generalised Komar integral. We comment on its applications to solutions, in particular to the fundamental string/pp-wave. We also discuss the current in the context of Scherk-Schwarz compactifications. We calculate the current for both the original double field theory action, corresponding to the NSNS sector alone, and for the RR sector.
|
1911.07343
|
Ivan K. Kostov
|
Ivan Kostov
|
Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
|
22 pages, 4 figures, typos corrected
| null |
10.1007/JHEP02(2020)043
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an effective Quantum Field Theory for the wrapping effects in
1+1 dimensional models of factorised scattering. The recently developed
graph-theoretical approach to TBA gives the perturbative desctiption of this
QFT. For the sake of simplicity we limit ourselves to scattering matrices for a
single neutral particle and no bound state poles, such as the sinh-Gordon one.
On the other hand, in view of applications to AdS/CFT, we do not assume that
the scattering matrix is of difference type. The effective QFT involves both
bosonic and fermionic fields and possesses a symmetry which makes it one-loop
exact. The corresponding path integral localises to a critical point determined
by the TBA equation.
|
[
{
"created": "Sun, 17 Nov 2019 21:27:32 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2022 15:29:44 GMT",
"version": "v2"
}
] |
2022-05-06
|
[
[
"Kostov",
"Ivan",
""
]
] |
We construct an effective Quantum Field Theory for the wrapping effects in 1+1 dimensional models of factorised scattering. The recently developed graph-theoretical approach to TBA gives the perturbative desctiption of this QFT. For the sake of simplicity we limit ourselves to scattering matrices for a single neutral particle and no bound state poles, such as the sinh-Gordon one. On the other hand, in view of applications to AdS/CFT, we do not assume that the scattering matrix is of difference type. The effective QFT involves both bosonic and fermionic fields and possesses a symmetry which makes it one-loop exact. The corresponding path integral localises to a critical point determined by the TBA equation.
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.