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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1011.3927
|
Masao Iihoshi
|
Masao Iihoshi
|
Mutated hybrid inflation in $f(R,{\Box}R)$-gravity
|
9 pages, 2 figures, LaTeX2e, v2: Sec.3 expanded and improved, 1 Fig.
added, a new result included, some Eqs. corrected, 2 References added
|
JCAP 1102:022,2011
|
10.1088/1475-7516/2011/02/022
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new hybrid inflationary scenario in the context of $f(R,{\Box}R)$-gravity
is proposed. Demanding the waterfall field to 'support the potential from
below' [unlike the original proposal by Stewart in Phys. Lett. B345, 414
(1995)], we demonstrate that the scalar potential is similar to that of the
large-field chaotic inflation model proposed by Linde in Phys. Lett. B129, 177
(1983). Inflationary observables are used to constrain the parameter space of
our model; in the process, an interesting limit on the number of e-folds N is
found.
|
[
{
"created": "Wed, 17 Nov 2010 10:17:00 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Nov 2010 10:25:44 GMT",
"version": "v2"
}
] |
2011-03-18
|
[
[
"Iihoshi",
"Masao",
""
]
] |
A new hybrid inflationary scenario in the context of $f(R,{\Box}R)$-gravity is proposed. Demanding the waterfall field to 'support the potential from below' [unlike the original proposal by Stewart in Phys. Lett. B345, 414 (1995)], we demonstrate that the scalar potential is similar to that of the large-field chaotic inflation model proposed by Linde in Phys. Lett. B129, 177 (1983). Inflationary observables are used to constrain the parameter space of our model; in the process, an interesting limit on the number of e-folds N is found.
|
2007.05589
|
Gustavo Brito
|
Gustavo P. de Brito and Antonio D. Pereira
|
Unimodular quantum gravity: Steps beyond perturbation theory
|
34 pages; 7 figures;
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The renormalization group flow of unimodular quantum gravity is computed by
taking into account the graviton and Faddeev-Popov ghosts anomalous dimensions.
In this setting, a ultraviolet attractive fixed point is found.
Symmetry-breaking terms induced by the coarse-graining procedure are introduced
and their impact on the flow is analyzed. A discussion on the equivalence of
unimodular quantum gravity and standard full diffeomorphism invariant theories
is provided beyond perturbation theory.
|
[
{
"created": "Fri, 10 Jul 2020 19:59:29 GMT",
"version": "v1"
}
] |
2020-07-14
|
[
[
"de Brito",
"Gustavo P.",
""
],
[
"Pereira",
"Antonio D.",
""
]
] |
The renormalization group flow of unimodular quantum gravity is computed by taking into account the graviton and Faddeev-Popov ghosts anomalous dimensions. In this setting, a ultraviolet attractive fixed point is found. Symmetry-breaking terms induced by the coarse-graining procedure are introduced and their impact on the flow is analyzed. A discussion on the equivalence of unimodular quantum gravity and standard full diffeomorphism invariant theories is provided beyond perturbation theory.
|
2210.09319
|
Anindya Dey
|
Anindya Dey
|
Exploring Seiberg-like N-alities with Eight Supercharges
|
v1:48 pages + references. Quiver diagrams are color-coded, v2:
References updated, v3: An error corrected in figure 2 and figure 10, section
2.3 on quiver mutations expanded for better presentation, minor typos fixed,
v4: An important typo fixed
| null | null | null |
hep-th cond-mat.str-el math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We show that a large subclass of 3d $\mathcal{N}=4$ quiver gauge theories
consisting of unitary and special unitary gauge nodes with only
fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic
quiver $\mathcal{T}$ in this subclass has a non-zero number of balanced special
unitary gauge nodes and it is a good theory in the Gaiotto-Witten sense. We
refer to this phenomenon as "IR N-ality" and the set of mutually IR dual
theories as the "N-al set" associated with the quiver $\mathcal{T}$. Starting
from $\mathcal{T}$, we construct a sequence of dualities by step-wise
implementing a set of quiver mutations which act locally on the gauge nodes.
The associated N-al theories can then be read off from this duality sequence.
The quiver $\mathcal{T}$ generically has an emergent Coulomb branch global
symmetry in the IR, such that the rank of the IR symmetry is always greater
than the rank visible in the UV. We show that there exists at least one theory
in the N-al set for which the rank of the IR symmetry precisely matches the
rank of the UV symmetry. In certain special cases that we discuss in this work,
the correct emergent symmetry algebra itself may be read off from this
preferred theory (or theories) in addition to the correct rank. Finally, we
give a recipe for constructing the 3d mirror associated with a given N-al set
and show how the emergent Coulomb branch symmetry of $\mathcal{T}$ is realized
as a UV-manifest Higgs branch symmetry of the 3d mirror. This paper is the
second in a series of four papers on 3d $\mathcal{N}=4$ Seiberg-like dualities,
preceded by the work [arXiv:2210.04921].
|
[
{
"created": "Mon, 17 Oct 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Oct 2022 17:30:14 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jul 2023 18:18:27 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Nov 2023 03:17:36 GMT",
"version": "v4"
}
] |
2023-11-23
|
[
[
"Dey",
"Anindya",
""
]
] |
We show that a large subclass of 3d $\mathcal{N}=4$ quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver $\mathcal{T}$ in this subclass has a non-zero number of balanced special unitary gauge nodes and it is a good theory in the Gaiotto-Witten sense. We refer to this phenomenon as "IR N-ality" and the set of mutually IR dual theories as the "N-al set" associated with the quiver $\mathcal{T}$. Starting from $\mathcal{T}$, we construct a sequence of dualities by step-wise implementing a set of quiver mutations which act locally on the gauge nodes. The associated N-al theories can then be read off from this duality sequence. The quiver $\mathcal{T}$ generically has an emergent Coulomb branch global symmetry in the IR, such that the rank of the IR symmetry is always greater than the rank visible in the UV. We show that there exists at least one theory in the N-al set for which the rank of the IR symmetry precisely matches the rank of the UV symmetry. In certain special cases that we discuss in this work, the correct emergent symmetry algebra itself may be read off from this preferred theory (or theories) in addition to the correct rank. Finally, we give a recipe for constructing the 3d mirror associated with a given N-al set and show how the emergent Coulomb branch symmetry of $\mathcal{T}$ is realized as a UV-manifest Higgs branch symmetry of the 3d mirror. This paper is the second in a series of four papers on 3d $\mathcal{N}=4$ Seiberg-like dualities, preceded by the work [arXiv:2210.04921].
|
1507.07251
|
Robert Blaga
|
Robert Blaga
|
One-photon pair production on the expanding de Sitter spacetime
| null |
Phys. Rev. D 92, 084054 (2015)
|
10.1103/PhysRevD.92.084054
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the one-photon scalar pair production QED process on the expanding
de Sitter spacetime. Using perturbation theory, we obtain the transition
probability and study its properties as a function of the expansion parameter
$\omega$. On flat space the process is forbidden by energy-momentum
conservation. It is expected that for a dynamical background there is an energy
exchange correlate to the strength of the gravitational field. We use momentum
space plots and compute the mean production angle to illustrate this. We show
that the mean angle grows with $\omega$, but also find that in the flat limit
the fall-off is unexpectedly slow. To investigate this further we obtain the
probability around different angular configuration, at leading order in
$m/\omega$, and find that the $\omega$ dependence at small angles is very weak.
We comment on the possible astrophysical implications.
|
[
{
"created": "Sun, 26 Jul 2015 20:47:30 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Oct 2015 21:30:07 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Blaga",
"Robert",
""
]
] |
We study the one-photon scalar pair production QED process on the expanding de Sitter spacetime. Using perturbation theory, we obtain the transition probability and study its properties as a function of the expansion parameter $\omega$. On flat space the process is forbidden by energy-momentum conservation. It is expected that for a dynamical background there is an energy exchange correlate to the strength of the gravitational field. We use momentum space plots and compute the mean production angle to illustrate this. We show that the mean angle grows with $\omega$, but also find that in the flat limit the fall-off is unexpectedly slow. To investigate this further we obtain the probability around different angular configuration, at leading order in $m/\omega$, and find that the $\omega$ dependence at small angles is very weak. We comment on the possible astrophysical implications.
|
1609.02499
|
Marco Maceda
|
Marco Maceda and Daniel Mart\'inez-Carbajal
|
Noncommutative Dirac quantization condition using the Seiberg-Witten map
|
12 pages
|
Phys. Rev. D 94, 105024 (2016)
|
10.1103/PhysRevD.94.105024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the validity of the Dirac quantization condition (DQC) for
magnetic monopoles in noncommutative space-time. We use an approach based on an
extension of the method introduced by Wu and Yang; the effects of
noncommutativity are analyzed using the Seiberg-Witten map and the
corresponding deformed Maxwell's equations are discussed. By means of a
perturbation expansion in the noncommutativity parameter $\theta$, we show
first that the DQC remains unmodified up to the first and second order. This
result is then generalized to all orders in the expansion parameter for a class
of noncommutative electric currents induced by the Seiberg-Witten map; these
currents reduce to the Dirac delta function in the commutative limit.
|
[
{
"created": "Thu, 8 Sep 2016 17:11:20 GMT",
"version": "v1"
}
] |
2016-12-07
|
[
[
"Maceda",
"Marco",
""
],
[
"Martínez-Carbajal",
"Daniel",
""
]
] |
We investigate the validity of the Dirac quantization condition (DQC) for magnetic monopoles in noncommutative space-time. We use an approach based on an extension of the method introduced by Wu and Yang; the effects of noncommutativity are analyzed using the Seiberg-Witten map and the corresponding deformed Maxwell's equations are discussed. By means of a perturbation expansion in the noncommutativity parameter $\theta$, we show first that the DQC remains unmodified up to the first and second order. This result is then generalized to all orders in the expansion parameter for a class of noncommutative electric currents induced by the Seiberg-Witten map; these currents reduce to the Dirac delta function in the commutative limit.
|
hep-th/9611017
|
Marco Serone
|
Marco Serone
|
N=2 Type I-Heterotic Duality and Higher Derivative F-Terms
|
latex file, 11 pages, no figures, minor corrections and M\"obius
strip contribution included
|
Phys.Lett. B395 (1997) 42-47; Erratum-ibid. B401 (1997) 363
|
10.1016/S0370-2693(96)01665-6
|
SISSA-159/96/EP
|
hep-th
| null |
We test the conjectured Type I-Heterotic Duality in four dimensions by
analyzing a given class of higher derivative F-terms of the form $F_gW^{2g}$,
with W the N=2 gravitational superfield. We study a particular dual pair of
theories, the O(2,2) heterotic model and a type I model based on the K3 $Z_2$
orbifold theory constructed by Gimon and Polchinski, further compactified on a
torus. The $F_g$ couplings appear at 1-loop on both theories; because of the
weak-weak nature of this duality in four dimensions, it is meaningful to
compare the heterotic $F_g$'s with the corresponding type I couplings
perturbatively. We compute the $F_g$'s in type I, showing that they receive
contributions only from N=2 BPS states and that in the appropriate limit they
coincide with the heterotic couplings, in agreement with the given duality.
|
[
{
"created": "Mon, 4 Nov 1996 21:28:45 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 1997 09:50:16 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Serone",
"Marco",
""
]
] |
We test the conjectured Type I-Heterotic Duality in four dimensions by analyzing a given class of higher derivative F-terms of the form $F_gW^{2g}$, with W the N=2 gravitational superfield. We study a particular dual pair of theories, the O(2,2) heterotic model and a type I model based on the K3 $Z_2$ orbifold theory constructed by Gimon and Polchinski, further compactified on a torus. The $F_g$ couplings appear at 1-loop on both theories; because of the weak-weak nature of this duality in four dimensions, it is meaningful to compare the heterotic $F_g$'s with the corresponding type I couplings perturbatively. We compute the $F_g$'s in type I, showing that they receive contributions only from N=2 BPS states and that in the appropriate limit they coincide with the heterotic couplings, in agreement with the given duality.
|
2312.10311
|
Akihiro Ishibashi
|
Akihiro Ishibashi, Kengo Maeda, and Takashi Okamura
|
Symmetry breaking of $3$-dimensional AdS in holographic semiclassical
gravity
|
18 pages, 2 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that $3$-dimensional AdS spacetime can be semiclassically unstable
due to strongly interacting quantum field effects. In our previous paper, we
have pointed out the possibility of such an instability of AdS$_3$ by
inspecting linear perturbations of the (covering space of) static BTZ black
hole with AdS${}_4$ gravity dual in the context of holographic semiclassical
problems. In the present paper, we further study this issue from thermodynamic
viewpoint by constructing asymptotically AdS$_3$ semiclassical solutions and
computing free energies of the solutions. We find two asymptotically AdS${}_3$
solutions to the semiclassical Einstein equations with non-vanishing source
term: the one whose free energy is smaller than that of the BTZ with vanishing
source term and the other whose free energy is smaller than that of the global
AdS$_3$ with no horizon (thus manifestly zero-temperature background). The
instability found in this paper implies the breakdown of the maximal symmetries
of AdS$_3$, and its origin is different from the well-known semiclassical
linear instability since our holographic semiclassical Einstein equations in
$3$-dimensions do not involve higher order derivative terms.
|
[
{
"created": "Sat, 16 Dec 2023 04:11:55 GMT",
"version": "v1"
}
] |
2023-12-19
|
[
[
"Ishibashi",
"Akihiro",
""
],
[
"Maeda",
"Kengo",
""
],
[
"Okamura",
"Takashi",
""
]
] |
We show that $3$-dimensional AdS spacetime can be semiclassically unstable due to strongly interacting quantum field effects. In our previous paper, we have pointed out the possibility of such an instability of AdS$_3$ by inspecting linear perturbations of the (covering space of) static BTZ black hole with AdS${}_4$ gravity dual in the context of holographic semiclassical problems. In the present paper, we further study this issue from thermodynamic viewpoint by constructing asymptotically AdS$_3$ semiclassical solutions and computing free energies of the solutions. We find two asymptotically AdS${}_3$ solutions to the semiclassical Einstein equations with non-vanishing source term: the one whose free energy is smaller than that of the BTZ with vanishing source term and the other whose free energy is smaller than that of the global AdS$_3$ with no horizon (thus manifestly zero-temperature background). The instability found in this paper implies the breakdown of the maximal symmetries of AdS$_3$, and its origin is different from the well-known semiclassical linear instability since our holographic semiclassical Einstein equations in $3$-dimensions do not involve higher order derivative terms.
|
hep-th/9208002
|
David Gross
|
David J. Gross
|
Some Remarks About Induced QCD
|
9 pages, PUPT-1335
|
Phys.Lett. B293 (1992) 181-186
|
10.1016/0370-2693(92)91499-Y
| null |
hep-th
| null |
Migdal and Kazakov have suggested that lattice QCD with an adjoint
representation scalar in the infinite coupling limit could induce QCD.
I find an exact saddlepoint of this theory for infinite $N$ in the case of a
quadratic scalar potential. I discuss some aspects of this solution and also
show how the continuum D=1 matrix model with an arbitrary potential can be
reproduced through this approach.
|
[
{
"created": "Sun, 2 Aug 1992 20:42:59 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Gross",
"David J.",
""
]
] |
Migdal and Kazakov have suggested that lattice QCD with an adjoint representation scalar in the infinite coupling limit could induce QCD. I find an exact saddlepoint of this theory for infinite $N$ in the case of a quadratic scalar potential. I discuss some aspects of this solution and also show how the continuum D=1 matrix model with an arbitrary potential can be reproduced through this approach.
|
2008.09844
|
\'Arp\'ad Luk\'acs
|
P\'eter Forg\'acs and \'Arp\'ad Luk\'acs
|
On non-topological solitons in Abelian gauge theories coupled to
U(1)$\times$U(1) symmetric scalar fields
|
14 pages, 13 figures, 7 additional pages of supplementary material
|
Phys. Rev. D 102, 076017 (2020)
|
10.1103/PhysRevD.102.076017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a series of recent works Ishihara and Ogawa have investigated
non-topological solitons (Q-balls) in a spontaneously broken Abelian gauge
theory coupled to two complex scalar fields. The present paper extends their
investigations to the most general U(1)$\times$U(1) symmetric quartic
potential. Also a new class of charged Q-ball solutions with vanishing
self-interaction terms is investigated and some of their remarkable properties
is exhibited.
|
[
{
"created": "Sat, 22 Aug 2020 14:13:46 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2020 15:44:25 GMT",
"version": "v2"
}
] |
2020-11-04
|
[
[
"Forgács",
"Péter",
""
],
[
"Lukács",
"Árpád",
""
]
] |
In a series of recent works Ishihara and Ogawa have investigated non-topological solitons (Q-balls) in a spontaneously broken Abelian gauge theory coupled to two complex scalar fields. The present paper extends their investigations to the most general U(1)$\times$U(1) symmetric quartic potential. Also a new class of charged Q-ball solutions with vanishing self-interaction terms is investigated and some of their remarkable properties is exhibited.
|
hep-th/9907022
|
Paul Townsend
|
Joaquim Gomis, Alfonso Ramallo, Joan Simon and Paul Townsend
|
Supersymmetric Baryonic Branes
|
32 pp. Third version is the same as the second except for a little
additional material. To appear in JHEP
|
JHEP 9911:019,1999
|
10.1088/1126-6708/1999/11/019
|
UB-ECM-PF-99/09, US-FT/14-99, DAMTP-1999-53
|
hep-th
| null |
We derive an energy bound for a `baryonic' D5-brane probe in the $adS_5\times
S^5$ background near the horizon of $N$ D3-branes. Configurations saturating
the bound are shown to be 1/4 supersymmetric $S^5$-wrapped D5-branes, with a
total Born-Infeld charge $N$. Previous results are recovered as a special case.
We derive a similar energy bound for a `baryonic' M5-brane probe in the
background of $N$ M5-branes. Configurations saturating the bound are again 1/4
supersymmetric and, in the $adS_7\times S^4$ near-horizon limit, provide a
worldvolume realization of the `baryon string' vertex of the
(2,0)-supersymmetric six-dimensional conformal field theory on coincident
M5-branes. For the full M5-background we find a worldvolume realization of the
Hanany-Witten effect in M-theory.
|
[
{
"created": "Mon, 5 Jul 1999 16:57:57 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 1999 10:53:57 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Dec 1999 16:23:05 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Gomis",
"Joaquim",
""
],
[
"Ramallo",
"Alfonso",
""
],
[
"Simon",
"Joan",
""
],
[
"Townsend",
"Paul",
""
]
] |
We derive an energy bound for a `baryonic' D5-brane probe in the $adS_5\times S^5$ background near the horizon of $N$ D3-branes. Configurations saturating the bound are shown to be 1/4 supersymmetric $S^5$-wrapped D5-branes, with a total Born-Infeld charge $N$. Previous results are recovered as a special case. We derive a similar energy bound for a `baryonic' M5-brane probe in the background of $N$ M5-branes. Configurations saturating the bound are again 1/4 supersymmetric and, in the $adS_7\times S^4$ near-horizon limit, provide a worldvolume realization of the `baryon string' vertex of the (2,0)-supersymmetric six-dimensional conformal field theory on coincident M5-branes. For the full M5-background we find a worldvolume realization of the Hanany-Witten effect in M-theory.
|
hep-th/9907167
|
Dirk Schlingemann
|
Dirk Schlingemann
|
Short-distance analysis for algebraic euclidean field theory
|
38 pages. This version is more self-contained and it is concerned
with a simplified proof of the main result. An appendix, containing useful
technical details, is added
| null | null |
ESI-preprint 737
|
hep-th
| null |
Recently D. Buchholz and R. Verch have proposed a method for implementing in
algebraic quantum field theory ideas from renormalization group analysis of
short-distance (high energy) behavior by passing to certain scaling limit
theories. Buchholz and Verch distinguish between different types of theories
where the limit is unique, degenerate, or classical, and the method allows in
principle to extract the `ultraparticle' content of a given model, i.e. to
identify particles (like quarks and gluons) that are not visible at finite
distances due to `confinement'. It is therefore of great importance for the
physical interpretation of the theory. The method has been illustrated in a
simple model in with some rather surprising results.
This paper will focus on the question how the short distance behavior of
models defined by euclidean means is reflected in the corresponding behavior of
their Minkowski counterparts. More specifically, we shall prove that if a
euclidean theory has some short distance limit, then it is possible to pass
from this limit theory to a theory on Minkowski space, which is a short
distance limit of the Minkowski space theory corresponding to the original
euclidean theory.
|
[
{
"created": "Wed, 21 Jul 1999 09:33:23 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 1999 13:17:00 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Schlingemann",
"Dirk",
""
]
] |
Recently D. Buchholz and R. Verch have proposed a method for implementing in algebraic quantum field theory ideas from renormalization group analysis of short-distance (high energy) behavior by passing to certain scaling limit theories. Buchholz and Verch distinguish between different types of theories where the limit is unique, degenerate, or classical, and the method allows in principle to extract the `ultraparticle' content of a given model, i.e. to identify particles (like quarks and gluons) that are not visible at finite distances due to `confinement'. It is therefore of great importance for the physical interpretation of the theory. The method has been illustrated in a simple model in with some rather surprising results. This paper will focus on the question how the short distance behavior of models defined by euclidean means is reflected in the corresponding behavior of their Minkowski counterparts. More specifically, we shall prove that if a euclidean theory has some short distance limit, then it is possible to pass from this limit theory to a theory on Minkowski space, which is a short distance limit of the Minkowski space theory corresponding to the original euclidean theory.
|
hep-th/9610103
|
Alexander Sevrin
|
Alexander Sevrin and Jan Troost
|
The Geometry of Supersymmetric Sigma-Models
|
8 pages, LaTeX, contribution to the proceedings of the workshop Gauge
Theories, Applied Supersymmetry and Quantum Gravity, Imperial College,
London, 1996
| null |
10.1142/9781848160927_0028
|
VUB/TENA/96/07
|
hep-th
| null |
We review non-linear sigma-models with (2,1) and (2,2) supersymmetry. We
focus on off-shell closure of the supersymmetry algebra and give a complete
list of (2,2) superfields. We provide evidence to support the conjecture that
all N=(2,2) non-linear sigma-models can be described by these fields. This in
its turn leads to interesting consequences about the geometry of the target
manifolds. One immediate corollary of this conjecture is the existence of a
potential for hyper-Kahler manifolds, different from the Kahler potential,
which does not only allow for the computation of the metric, but of the three
fundamental two-forms as well. Several examples are provided: WZW models on
SU(2) x U(1) and SU(2) x SU(2) and four-dimensional special hyper-Kahler
manifolds.
|
[
{
"created": "Tue, 15 Oct 1996 18:31:37 GMT",
"version": "v1"
}
] |
2016-12-21
|
[
[
"Sevrin",
"Alexander",
""
],
[
"Troost",
"Jan",
""
]
] |
We review non-linear sigma-models with (2,1) and (2,2) supersymmetry. We focus on off-shell closure of the supersymmetry algebra and give a complete list of (2,2) superfields. We provide evidence to support the conjecture that all N=(2,2) non-linear sigma-models can be described by these fields. This in its turn leads to interesting consequences about the geometry of the target manifolds. One immediate corollary of this conjecture is the existence of a potential for hyper-Kahler manifolds, different from the Kahler potential, which does not only allow for the computation of the metric, but of the three fundamental two-forms as well. Several examples are provided: WZW models on SU(2) x U(1) and SU(2) x SU(2) and four-dimensional special hyper-Kahler manifolds.
|
2105.11565
|
Elena Lanina
|
E. Lanina, A. Sleptsov and N. Tselousov
|
Chern-Simons perturbative series revisited
|
10 pages
|
Physics Letters B 823 (2021) 136727
|
10.1016/j.physletb.2021.136727
| null |
hep-th math-ph math.GT math.MP math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A group-theoretical structure in a perturbative expansion of the Wilson loops
in the 3d Chern-Simons theory with $SU(N)$ gauge group is studied in symmetric
approach. A special basis in the center of the universal enveloping algebra
$ZU(\mathfrak{sl}_N)$ is introduced. This basis allows one to present group
factors in an arbitrary irreducible finite-dimensional representation.
Developed methods have wide applications, the most straightforward and evident
ones are mentioned. Namely, Vassiliev invariants of higher orders are computed,
a conjecture about existence of new symmetries of the colored HOMFLY
polynomials is stated, and the recently discovered tug-the-hook symmetry of the
colored HOMFLY polynomial is proved.
|
[
{
"created": "Mon, 24 May 2021 22:57:12 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 11:41:51 GMT",
"version": "v2"
}
] |
2023-03-24
|
[
[
"Lanina",
"E.",
""
],
[
"Sleptsov",
"A.",
""
],
[
"Tselousov",
"N.",
""
]
] |
A group-theoretical structure in a perturbative expansion of the Wilson loops in the 3d Chern-Simons theory with $SU(N)$ gauge group is studied in symmetric approach. A special basis in the center of the universal enveloping algebra $ZU(\mathfrak{sl}_N)$ is introduced. This basis allows one to present group factors in an arbitrary irreducible finite-dimensional representation. Developed methods have wide applications, the most straightforward and evident ones are mentioned. Namely, Vassiliev invariants of higher orders are computed, a conjecture about existence of new symmetries of the colored HOMFLY polynomials is stated, and the recently discovered tug-the-hook symmetry of the colored HOMFLY polynomial is proved.
|
1206.5643
|
Yutaka Matsuo
|
Pei-Ming Ho and Yutaka Matsuo
|
Note on non-Abelian two-form gauge fields
|
21 pages
| null |
10.1007/JHEP09(2012)075
|
UT-12-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by application to multiple M5 branes, we study some properties of
non-Abelian two-form gauge theories. We note that the fake curvature condition
which is commonly used in the literature would restrict the dynamics to be
either a free theory or a topological system. We then propose a modification of
transformation law which simplifies the gauge transformation of 3-form field
strength and enables us to write down a gauge invariant action. We then argue
that a generalization of Stueckelberg mechanism naturally gives mass to the
two-form gauge field. For the application to multiple M5-branes, it should be
identified with the KK modes.
|
[
{
"created": "Mon, 25 Jun 2012 10:57:43 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Aug 2012 06:30:52 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Ho",
"Pei-Ming",
""
],
[
"Matsuo",
"Yutaka",
""
]
] |
Motivated by application to multiple M5 branes, we study some properties of non-Abelian two-form gauge theories. We note that the fake curvature condition which is commonly used in the literature would restrict the dynamics to be either a free theory or a topological system. We then propose a modification of transformation law which simplifies the gauge transformation of 3-form field strength and enables us to write down a gauge invariant action. We then argue that a generalization of Stueckelberg mechanism naturally gives mass to the two-form gauge field. For the application to multiple M5-branes, it should be identified with the KK modes.
|
1710.09198
|
Daiske Yoshida
|
Daiske Yoshida, Jiro Soda
|
Electromagnetic waves propagating in the string axiverse
|
5 pages
|
Progress of Theoretical and Experimental Physics, Volume 2018,
Issue 4, 1 April 2018, 041E01
|
10.1093/ptep/pty029
|
KOBE-COSMO-17-14
|
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is widely believed that axions are ubiquitous in string theory and could
be the dark matter. The peculiar features of the axion dark matter are coherent
oscillations and a coupling to the electromagnetic field through the
Chern-Simons term. In this paper, we study consequences of these two features
of the axion with the mass in a range from $10^{-13}\,{\rm eV}$ to
$10^{3}\,{\rm eV}$. First, we study the parametric resonance of electromagnetic
waves induced by the coherent oscillation of the axion. As a result of the
resonance, the amplitude of the electromagnetic waves is enhanced and the
circularly polarized monochromatic waves will be generated. Second, we study
the velocity of light in the background of the axion dark matter. In the
presence of the Chern-Simons term, the dispersion relation is modified and the
speed of light will oscillate in time. It turns out that the change of speed of
light would be difficult to observe. We argue that the future radio wave
observations of the resonance can give rise to a stronger constraint on the
coupling constant and/or the density of the axion dark matter.
|
[
{
"created": "Wed, 25 Oct 2017 12:42:18 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Nov 2017 14:07:07 GMT",
"version": "v2"
}
] |
2018-04-24
|
[
[
"Yoshida",
"Daiske",
""
],
[
"Soda",
"Jiro",
""
]
] |
It is widely believed that axions are ubiquitous in string theory and could be the dark matter. The peculiar features of the axion dark matter are coherent oscillations and a coupling to the electromagnetic field through the Chern-Simons term. In this paper, we study consequences of these two features of the axion with the mass in a range from $10^{-13}\,{\rm eV}$ to $10^{3}\,{\rm eV}$. First, we study the parametric resonance of electromagnetic waves induced by the coherent oscillation of the axion. As a result of the resonance, the amplitude of the electromagnetic waves is enhanced and the circularly polarized monochromatic waves will be generated. Second, we study the velocity of light in the background of the axion dark matter. In the presence of the Chern-Simons term, the dispersion relation is modified and the speed of light will oscillate in time. It turns out that the change of speed of light would be difficult to observe. We argue that the future radio wave observations of the resonance can give rise to a stronger constraint on the coupling constant and/or the density of the axion dark matter.
|
1501.05512
|
Mehdi Hajihashemi jazi
|
Mehdi Hajihashemi, Ahmad Shirzad
|
A Generalized Model for the Classical Relativistic Spinning Particle
| null |
International Journal of Modern Physics A- Vol. 31 (2016) 1650027
|
10.1142/S0217751X16500275
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the Poincare algebra for a free spinning particle and using the
Casimirs of the algebra in the Hamiltonian approach, we construct
systematically a set of Lagrangians for the relativistic spinning particle
which includes the Lagrangian given in the literature. Then we analyze the
dynamics of this generalized system in the Lagrangian formulation and show that
the equations of motion support an oscillatory solution corresponding to the
spinning nature of the system. Next we analyze the canonical structure of the
system and present the correct gauge suitable for the spinning motion of the
system.
|
[
{
"created": "Thu, 22 Jan 2015 14:32:02 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jan 2015 09:00:54 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Feb 2015 08:50:26 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Sep 2015 03:13:22 GMT",
"version": "v4"
},
{
"created": "Tue, 1 Mar 2016 20:57:22 GMT",
"version": "v5"
}
] |
2016-03-15
|
[
[
"Hajihashemi",
"Mehdi",
""
],
[
"Shirzad",
"Ahmad",
""
]
] |
Following the Poincare algebra for a free spinning particle and using the Casimirs of the algebra in the Hamiltonian approach, we construct systematically a set of Lagrangians for the relativistic spinning particle which includes the Lagrangian given in the literature. Then we analyze the dynamics of this generalized system in the Lagrangian formulation and show that the equations of motion support an oscillatory solution corresponding to the spinning nature of the system. Next we analyze the canonical structure of the system and present the correct gauge suitable for the spinning motion of the system.
|
2202.02168
|
Georgy Prokhorov
|
G. Yu. Prokhorov, O. V. Teryaev and V. I. Zakharov
|
Gravitational chiral anomaly for spin 3/2 field interacting with spin
1/2 field
|
12 pages, 1 figure
| null |
10.1103/PhysRevD.106.025022
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The gravitational chiral quantum anomaly is calculated in the framework of
the extended Rarita-Schwinger-Adler (RSA) field theory, which includes the
interaction with an additional spin 1/2 field. It is shown that the factor in
the gravitational chiral anomaly, normalized to the Dirac field anomaly, is
equal to -19. The resulting value distinguishes the RSA theory from the other
theories of spin 3/2. A direct verification of the conformality of the RSA
theory in the strong interaction limit at the level of one-loop three-point
graphs was made.
|
[
{
"created": "Fri, 4 Feb 2022 14:53:47 GMT",
"version": "v1"
}
] |
2022-08-17
|
[
[
"Prokhorov",
"G. Yu.",
""
],
[
"Teryaev",
"O. V.",
""
],
[
"Zakharov",
"V. I.",
""
]
] |
The gravitational chiral quantum anomaly is calculated in the framework of the extended Rarita-Schwinger-Adler (RSA) field theory, which includes the interaction with an additional spin 1/2 field. It is shown that the factor in the gravitational chiral anomaly, normalized to the Dirac field anomaly, is equal to -19. The resulting value distinguishes the RSA theory from the other theories of spin 3/2. A direct verification of the conformality of the RSA theory in the strong interaction limit at the level of one-loop three-point graphs was made.
|
hep-th/9607114
|
Ivan V. Gorbunov
|
I.V. Gorbunov, S.M. Kuzenko and S.L. Lyakhovich
|
On the Minimal Model of Anyons
|
17 pages, LaTex, no figures
|
Int.J.Mod.Phys. A12 (1997) 4199-4215
|
10.1142/S0217751X97002292
|
QFT-TSU-9/96
|
hep-th
| null |
We present new geometric formulations for the fractional spin particle models
on the minimal phase spaces. New consistent couplings of the anyon to
background fields are constructed. The relationship between our approach and
previously developed anyon models is discussed.
|
[
{
"created": "Mon, 15 Jul 1996 06:11:53 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Gorbunov",
"I. V.",
""
],
[
"Kuzenko",
"S. M.",
""
],
[
"Lyakhovich",
"S. L.",
""
]
] |
We present new geometric formulations for the fractional spin particle models on the minimal phase spaces. New consistent couplings of the anyon to background fields are constructed. The relationship between our approach and previously developed anyon models is discussed.
|
1108.2253
|
Sung-Sik Lee
|
Sung-Sik Lee
|
Holographic Matter : Deconfined String at Criticality
|
52 pages, 18 figures; v2) references added
|
Nucl.Phys.B862:781-820,2012
|
10.1016/j.nuclphysb.2012.04.023
| null |
hep-th cond-mat.str-el hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a holographic dual for a gauged matrix model in general dimensions
from a first-principle construction. The dual theory is shown to be a closed
string field theory which includes a compact two-form gauge field coupled with
closed strings in one higher dimensional space. Possible phases of the matrix
model are discussed in the holographic description. Besides the confinement
phase and the IR free deconfinement phase, there can be two different classes
of critical states. The first class describes `holographic critical states'
where strings are deconfined in the bulk. The second class describes
`non-holographic critical states' where strings are confined due to
proliferation of topological defects for the two-form gauge field. This implies
that the critical states of the matrix model which admit holographic
descriptions with deconfined string in the bulk form novel universality classes
with non-trivial quantum orders which make the holographic critical states
qualitatively distinct from the non-holographic critical states. The signatures
of the non-trivial quantum orders in the holographic states are discussed.
Finally, we discuss a possibility that open strings emerge as fractionalized
excitations of closed strings along with an emergent one-form gauge field in
the bulk.
|
[
{
"created": "Wed, 10 Aug 2011 19:18:54 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Dec 2011 04:19:34 GMT",
"version": "v2"
}
] |
2015-03-19
|
[
[
"Lee",
"Sung-Sik",
""
]
] |
We derive a holographic dual for a gauged matrix model in general dimensions from a first-principle construction. The dual theory is shown to be a closed string field theory which includes a compact two-form gauge field coupled with closed strings in one higher dimensional space. Possible phases of the matrix model are discussed in the holographic description. Besides the confinement phase and the IR free deconfinement phase, there can be two different classes of critical states. The first class describes `holographic critical states' where strings are deconfined in the bulk. The second class describes `non-holographic critical states' where strings are confined due to proliferation of topological defects for the two-form gauge field. This implies that the critical states of the matrix model which admit holographic descriptions with deconfined string in the bulk form novel universality classes with non-trivial quantum orders which make the holographic critical states qualitatively distinct from the non-holographic critical states. The signatures of the non-trivial quantum orders in the holographic states are discussed. Finally, we discuss a possibility that open strings emerge as fractionalized excitations of closed strings along with an emergent one-form gauge field in the bulk.
|
1211.5119
|
Olof Ohlsson Sax
|
Riccardo Borsato, Olof Ohlsson Sax and Alessandro Sfondrini
|
A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
|
41 pages, 4 figures. v2: corrected a misprint in appendix E, updated
references, corrected some typos. v3: added a new appendix F with comparison
to the literature, changed notation for the crossing equations, added
references. Published version
|
JHEP 1304 (2013) 113
|
10.1007/JHEP04(2013)113
|
ITP-UU-12/46; SPIN-12/43
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of
AdS3/CFT2 by considering the centrally extended su(1|1)^2 algebra acting on the
spin-chain excitations. The S-matrix is determined uniquely up to four scalar
factors, which are further constrained by a set of crossing relations. The
resulting scattering includes non-trivial processes between magnons of
different masses that were previously overlooked.
|
[
{
"created": "Wed, 21 Nov 2012 19:26:16 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2012 09:20:06 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Apr 2013 08:51:13 GMT",
"version": "v3"
}
] |
2015-06-12
|
[
[
"Borsato",
"Riccardo",
""
],
[
"Sax",
"Olof Ohlsson",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] |
We derive the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/CFT2 by considering the centrally extended su(1|1)^2 algebra acting on the spin-chain excitations. The S-matrix is determined uniquely up to four scalar factors, which are further constrained by a set of crossing relations. The resulting scattering includes non-trivial processes between magnons of different masses that were previously overlooked.
|
0809.4312
|
Moslem Zarei
|
Moslem Zarei
|
Short Distance Physics and Initial State Effects on the CMB Power
Spectrum
|
29 pages, 5 figures, v2
|
Phys.Rev.D78:123502,2008
|
10.1103/PhysRevD.78.123502
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a modification in the action of inflaton due to
noncommutativity leads to a nonstandard initial vacuum and oscillatory
corrections in the initial power spectrum. We show that the presence of these
oscillations causes a drop in the WMAP $\chi^{2}$ about $\Delta\chi^{2}\sim
8.5$. As a bonus, from the parameter estimation done in this work, we show that
the noncommutative parameters can be precisely bound to $10^{16}$ GeV or
$10^{4}$ GeV depending on the inflation scale.
|
[
{
"created": "Thu, 25 Sep 2008 03:35:07 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Nov 2008 13:53:15 GMT",
"version": "v2"
}
] |
2008-12-18
|
[
[
"Zarei",
"Moslem",
""
]
] |
We investigate a modification in the action of inflaton due to noncommutativity leads to a nonstandard initial vacuum and oscillatory corrections in the initial power spectrum. We show that the presence of these oscillations causes a drop in the WMAP $\chi^{2}$ about $\Delta\chi^{2}\sim 8.5$. As a bonus, from the parameter estimation done in this work, we show that the noncommutative parameters can be precisely bound to $10^{16}$ GeV or $10^{4}$ GeV depending on the inflation scale.
|
hep-th/0203098
|
Francois Englert
|
Francois Englert, Laurent Houart and Anne Taormina
|
The Bosonic Ancestor of Closed and Open Fermionic Strings
|
LaTeX files, 16 pages. Contribution to the Francqui meeting, Brussels
2001 and Corfu Summer Institute 2001. Based on hep-th/0106235
| null | null |
ULB-TH/02-10
|
hep-th
| null |
We review the emergence of the ten-dimensional fermionic closed string
theories from subspaces of the Hilbert space of the 26-dimensional bosonic
closed string theory compactified on an $E_8\times SO(16)$ lattice. They arise
from a consistent truncation procedure which generates space-time fermions out
of bosons. This procedure is extended to open string sectors. We prove, from
bosonic considerations alone, that truncation of the unique tadpole-free
$SO(2^{13})$ bosonic string theory compactified on the above lattice determines
the anomaly free Chan-Paton group of the Type I theory. It also yields the
Chan-Paton groups making Type O theories tadpole-free. These results establish
a link between all M-theory strings and the bosonic string within the framework
of conformal field theory. Its significance is discussed.
|
[
{
"created": "Mon, 11 Mar 2002 17:41:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Englert",
"Francois",
""
],
[
"Houart",
"Laurent",
""
],
[
"Taormina",
"Anne",
""
]
] |
We review the emergence of the ten-dimensional fermionic closed string theories from subspaces of the Hilbert space of the 26-dimensional bosonic closed string theory compactified on an $E_8\times SO(16)$ lattice. They arise from a consistent truncation procedure which generates space-time fermions out of bosons. This procedure is extended to open string sectors. We prove, from bosonic considerations alone, that truncation of the unique tadpole-free $SO(2^{13})$ bosonic string theory compactified on the above lattice determines the anomaly free Chan-Paton group of the Type I theory. It also yields the Chan-Paton groups making Type O theories tadpole-free. These results establish a link between all M-theory strings and the bosonic string within the framework of conformal field theory. Its significance is discussed.
|
1408.3363
|
Patricio Gaete
|
Patricio Gaete and Jos\'e Helay\"el-Neto
|
Remarks on nonlinear Electrodynamics
|
10 pages. arXiv admin note: substantial text overlap with
arXiv:1312.5157
| null |
10.1140/epjc/s10052-014-3182-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider both generalized Born-Infeld and Exponential Electrodynamics. The
field-energy of a point-like charge is finite only for Born-Infeld-like
Electrodynamics. However, both Born-Infeld-type and Exponential Electrodynamics
display the vacuum birefringence phenomenon. Subsequently, we calculate the
lowest-order modifications to the interaction energy for both classes of
Electrodynamics, within the framework of the gauge-invariant path-dependent
variables formalism. These are shown to result in long-range ($1/r^5$- type)
corrections to the Coulomb potential. Once again, for their non-commutative
versions, the interaction energy is ultraviolet finite.
|
[
{
"created": "Thu, 14 Aug 2014 17:45:53 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Gaete",
"Patricio",
""
],
[
"Helayël-Neto",
"José",
""
]
] |
We consider both generalized Born-Infeld and Exponential Electrodynamics. The field-energy of a point-like charge is finite only for Born-Infeld-like Electrodynamics. However, both Born-Infeld-type and Exponential Electrodynamics display the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of Electrodynamics, within the framework of the gauge-invariant path-dependent variables formalism. These are shown to result in long-range ($1/r^5$- type) corrections to the Coulomb potential. Once again, for their non-commutative versions, the interaction energy is ultraviolet finite.
|
hep-th/9810253
|
Markus A. Luty
|
Z. Chacko, Markus A. Luty, Eduardo Ponton
|
Calculable Dynamical Supersymmetry Breaking on Deformed Moduli Spaces
|
8 pages, LaTeX2e, no figures
|
JHEP 9812 (1998) 016
|
10.1088/1126-6708/1998/12/016
|
UMD-PP-99-040
|
hep-th
| null |
We consider models of dynamical supersymmetry breaking in which the
extremization of a tree-level superpotential conflicts with a quantum
constraint. We show that in such models the low-energy effective theory near
the origin of moduli space is an O'Raifeartaigh model, and the sign of the
mass-squared for the pseudo-flat direction at the origin is calculable. We
analyze vector-like models with gauge groups SU(N) and Sp(2N) with and without
global symmetries. In all cases there is a stable minimum at the origin with an
unbroken U(1)_R symmetry.
|
[
{
"created": "Fri, 30 Oct 1998 19:21:41 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Chacko",
"Z.",
""
],
[
"Luty",
"Markus A.",
""
],
[
"Ponton",
"Eduardo",
""
]
] |
We consider models of dynamical supersymmetry breaking in which the extremization of a tree-level superpotential conflicts with a quantum constraint. We show that in such models the low-energy effective theory near the origin of moduli space is an O'Raifeartaigh model, and the sign of the mass-squared for the pseudo-flat direction at the origin is calculable. We analyze vector-like models with gauge groups SU(N) and Sp(2N) with and without global symmetries. In all cases there is a stable minimum at the origin with an unbroken U(1)_R symmetry.
|
0707.3355
|
Kei-Jiro Takahashi
|
Kei-Jiro Takahashi
|
Three-Family Models from a Heterotic Orbifold on the E_6 Root Lattice
|
20 pages, 1 figures; v3: Classification for orbifolds on the E_6
lattice is added, typos corrected, published version
|
Prog.Theor.Phys.119:491-507,2008
|
10.1143/PTP.119.491
|
KUNS-2086
|
hep-th hep-ph
| null |
We classify N=1 orbifolds on the E_6 root lattice and investigate explicit
model constructions on the Z_3xZ_3 orbifold in heterotic string theory.
Interestingly some of the twisted sectors from the Z_3xZ_3 orbifold on the E_6
root lattice have just three fixed tori respectively, and generate three
degenerate massless states. We also found three point functions with flavor
mixing terms. We assume only non-standard gauge embeddings and find that they
lead to three-family SU(5) and SO(10) GUT-like models. These models also
include strongly coupled sectors in the low energy and messenger states charged
with both hidden and visible sectors.
|
[
{
"created": "Mon, 23 Jul 2007 17:03:42 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Aug 2007 16:20:20 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Mar 2008 12:19:50 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Takahashi",
"Kei-Jiro",
""
]
] |
We classify N=1 orbifolds on the E_6 root lattice and investigate explicit model constructions on the Z_3xZ_3 orbifold in heterotic string theory. Interestingly some of the twisted sectors from the Z_3xZ_3 orbifold on the E_6 root lattice have just three fixed tori respectively, and generate three degenerate massless states. We also found three point functions with flavor mixing terms. We assume only non-standard gauge embeddings and find that they lead to three-family SU(5) and SO(10) GUT-like models. These models also include strongly coupled sectors in the low energy and messenger states charged with both hidden and visible sectors.
|
hep-th/0005129
|
Jaume Gomis
|
Jaume Gomis and Thomas Mehen (Caltech)
|
Space-Time Noncommutative Field Theories And Unitarity
|
15 pages, 2 figures, harvmac; references added
|
Nucl.Phys. B591 (2000) 265-276
|
10.1016/S0550-3213(00)00525-3
| null |
hep-th
| null |
We study the perturbative unitarity of noncommutative scalar field theories.
Field theories with space-time noncommutativity do not have a unitary S-matrix.
Field theories with only space noncommutativity are perturbatively unitary.
This can be understood from string theory, since space noncommutative field
theories describe a low energy limit of string theory in a background magnetic
field. On the other hand, there is no regime in which space-time noncommutative
field theory is an appropriate description of string theory. Whenever
space-time noncommutative field theory becomes relevant massive open string
states cannot be neglected.
|
[
{
"created": "Sun, 14 May 2000 23:40:00 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2000 04:25:48 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Gomis",
"Jaume",
"",
"Caltech"
],
[
"Mehen",
"Thomas",
"",
"Caltech"
]
] |
We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space-time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This can be understood from string theory, since space noncommutative field theories describe a low energy limit of string theory in a background magnetic field. On the other hand, there is no regime in which space-time noncommutative field theory is an appropriate description of string theory. Whenever space-time noncommutative field theory becomes relevant massive open string states cannot be neglected.
|
hep-th/9909194
|
Josef Kluson
|
J. Kluson
|
Remark about Non-BPS D-Brane in Type IIA Theory
|
13 pages, completely rewritten paper
|
Phys.Rev. D62 (2000) 126002
|
10.1103/PhysRevD.62.126002
|
MU 1240
|
hep-th
| null |
In this paper we would like to show simple mechanisms how from the action for
non-BPS D-brane we can obtain action describing BPS D(p-1)-brane in Type IIA
theory.
|
[
{
"created": "Tue, 28 Sep 1999 06:28:57 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Oct 1999 06:10:23 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Feb 2000 06:59:59 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Kluson",
"J.",
""
]
] |
In this paper we would like to show simple mechanisms how from the action for non-BPS D-brane we can obtain action describing BPS D(p-1)-brane in Type IIA theory.
|
1508.02396
|
Misha Stephanov
|
Mikhail A. Stephanov and Ho-Ung Yee
|
The no-drag frame for anomalous chiral fluid
|
5 pages (v2 with minor bug fixes)
|
Phys. Rev. Lett. 116, 122302 (2016)
|
10.1103/PhysRevLett.116.122302
|
RBRC-1146
|
hep-th cond-mat.mes-hall nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that for an anomalous fluid carrying dissipationless chiral magnetic
and/or vortical currents there is a frame in which a stationary obstacle
experiences no drag, but energy and charge currents do not vanish, resembling
superfluidity. However, unlike ordinary superfluid flow, the anomalous chiral
currents do transport entropy in this frame. We show that the second law of
thermodynamics completely determines the amounts of these anomalous
non-dissipative currents in the "no-drag frame" as polynomials in temperature
and chemical potential with known anomaly coefficients. These general results
are illustrated and confirmed by a calculation in the chiral kinetic theory and
quark-gluon plasma at high temperature.
|
[
{
"created": "Mon, 10 Aug 2015 20:05:23 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 2015 19:58:17 GMT",
"version": "v2"
}
] |
2016-03-30
|
[
[
"Stephanov",
"Mikhail A.",
""
],
[
"Yee",
"Ho-Ung",
""
]
] |
We show that for an anomalous fluid carrying dissipationless chiral magnetic and/or vortical currents there is a frame in which a stationary obstacle experiences no drag, but energy and charge currents do not vanish, resembling superfluidity. However, unlike ordinary superfluid flow, the anomalous chiral currents do transport entropy in this frame. We show that the second law of thermodynamics completely determines the amounts of these anomalous non-dissipative currents in the "no-drag frame" as polynomials in temperature and chemical potential with known anomaly coefficients. These general results are illustrated and confirmed by a calculation in the chiral kinetic theory and quark-gluon plasma at high temperature.
|
hep-th/0507096
|
Norihiro Iizuka
|
Kevin Goldstein, Norihiro Iizuka, Rudra P. Jena and Sandip P. Trivedi
|
Non-Supersymmetric Attractors
|
55 pages, LaTeX, 7 eps figures. v3: references and some additional
comments added, minor corrections
|
Phys.Rev. D72 (2005) 124021
|
10.1103/PhysRevD.72.124021
|
TIFR/TH/05-25
|
hep-th gr-qc
| null |
We consider theories with gravity, gauge fields and scalars in
four-dimensional asymptotically flat space-time. By studying the equations of
motion directly we show that the attractor mechanism can work for
non-supersymmetric extremal black holes. Two conditions are sufficient for
this, they are conveniently stated in terms of an effective potential involving
the scalars and the charges carried by the black hole. Our analysis applies to
black holes in theories with ${\cal N} \le 1$ supersymmetry, as well as
non-supersymmetric black holes in theories with ${\cal N} = 2$ supersymmetry.
Similar results are also obtained for extremal black holes in asymptotically
Anti-de Sitter space and in higher dimensions.
|
[
{
"created": "Mon, 11 Jul 2005 06:39:07 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Aug 2005 11:29:20 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Dec 2005 07:02:47 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Goldstein",
"Kevin",
""
],
[
"Iizuka",
"Norihiro",
""
],
[
"Jena",
"Rudra P.",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] |
We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black holes. Two conditions are sufficient for this, they are conveniently stated in terms of an effective potential involving the scalars and the charges carried by the black hole. Our analysis applies to black holes in theories with ${\cal N} \le 1$ supersymmetry, as well as non-supersymmetric black holes in theories with ${\cal N} = 2$ supersymmetry. Similar results are also obtained for extremal black holes in asymptotically Anti-de Sitter space and in higher dimensions.
|
1209.0912
|
Claudio Scrucca
|
Francesca Catino, Claudio A. Scrucca and Paul Smyth
|
Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
|
40 pages, no figures
| null |
10.1007/JHEP10(2012)124
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the possibility of achieving metastable de Sitter vacua in general
N=2 to N=1 truncated supergravities without vector multiplets, and compare with
the situations arising in N=2 theories with only hypermultiplets and N=1
theories with only chiral multiplets. In N=2 theories based on a quaternionic
manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable,
as a result of the peculiar properties of the geometry. In N=1 theories based
on a Kahler manifold and a superpotential, de Sitter vacua can instead be
metastable provided the geometry satisfies some constraint and the
superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial
requirement is then that the tachyon of the mother theory be projected out from
the daughter theory, so that the original unstable vacuum is projected to a
metastable vacuum. We study the circumstances under which this may happen and
derive general constraints for metastability on the geometry and the gauging.
We then study in full detail the simplest case of quaternionic manifolds of
dimension four with at least one isometry, for which there exists a general
parametrization, and study two types of truncations defining Kahler
submanifolds of dimension two. As an application, we finally discuss the case
of the universal hypermultiplet of N=2 superstrings and its truncations to the
dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in
such theories are necessarily unstable in weakly coupled situations, while they
can in principle be metastable in strongly coupled regimes.
|
[
{
"created": "Wed, 5 Sep 2012 09:56:31 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Catino",
"Francesca",
""
],
[
"Scrucca",
"Claudio A.",
""
],
[
"Smyth",
"Paul",
""
]
] |
We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. In N=2 theories based on a quaternionic manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable, as a result of the peculiar properties of the geometry. In N=1 theories based on a Kahler manifold and a superpotential, de Sitter vacua can instead be metastable provided the geometry satisfies some constraint and the superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial requirement is then that the tachyon of the mother theory be projected out from the daughter theory, so that the original unstable vacuum is projected to a metastable vacuum. We study the circumstances under which this may happen and derive general constraints for metastability on the geometry and the gauging. We then study in full detail the simplest case of quaternionic manifolds of dimension four with at least one isometry, for which there exists a general parametrization, and study two types of truncations defining Kahler submanifolds of dimension two. As an application, we finally discuss the case of the universal hypermultiplet of N=2 superstrings and its truncations to the dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes.
|
hep-th/0605277
|
Saurav Samanta
|
Rabin Banerjee, Binayak Dutta Roy and Saurav Samanta
|
Remarks on the Noncommutative Gravitational Quantum Well
|
Latex, 17 pages, Title changed, minor modifications, 3 new references
added, To appear in Phys. Rev. D
|
Phys.Rev.D74:045015,2006
|
10.1103/PhysRevD.74.045015
| null |
hep-th quant-ph
| null |
A planar phase space having both position and momentum noncommutativity is
defined in a more inclusive setting than that considered elsewhere. The
dynamics of a particle in a gravitational quantum well in this space is
studied. The use of the WKB approximation and the virial theorem enable
analytic discussions on the effect of noncommutativity. Consistent results are
obtained following either commutative space or noncommutative space
descriptions. Comparison with recent experimental data with cold neutrons at
Grenoble imposes an upper bound on the noncommutative parameter. Also, our
results are compared with a recent numerical analysis of a similar problem.
|
[
{
"created": "Mon, 29 May 2006 13:15:32 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2006 13:23:26 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Roy",
"Binayak Dutta",
""
],
[
"Samanta",
"Saurav",
""
]
] |
A planar phase space having both position and momentum noncommutativity is defined in a more inclusive setting than that considered elsewhere. The dynamics of a particle in a gravitational quantum well in this space is studied. The use of the WKB approximation and the virial theorem enable analytic discussions on the effect of noncommutativity. Consistent results are obtained following either commutative space or noncommutative space descriptions. Comparison with recent experimental data with cold neutrons at Grenoble imposes an upper bound on the noncommutative parameter. Also, our results are compared with a recent numerical analysis of a similar problem.
|
hep-th/0505047
|
Marek Rogatko
|
Marek Rogatko
|
Physical Process Version of the First Law of Thermodynamics for Black
Holes in Higher Dimensional Gravity
|
6 pages, REVTEX, to be published in Phys.Rev.D15
|
Phys.Rev.D71:104004,2005
|
10.1103/PhysRevD.71.104004
| null |
hep-th gr-qc
| null |
The problem of physical process version of the first law of black hole
thermodynamics for charged rotating black hole in n-dimensional gravity is
elaborated. The formulae for the first order variations of mass, angular
momentum and canonical energy in Einstein (n-2)-gauge form field theory are
derived. These variations are expressed by means of the perturbed matter energy
momentum tensor and matter current density.
|
[
{
"created": "Thu, 5 May 2005 06:41:00 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Rogatko",
"Marek",
""
]
] |
The problem of physical process version of the first law of black hole thermodynamics for charged rotating black hole in n-dimensional gravity is elaborated. The formulae for the first order variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory are derived. These variations are expressed by means of the perturbed matter energy momentum tensor and matter current density.
|
hep-th/9503111
|
Emili Elizalde
|
E. Elizalde and S.D. Odintsov
|
THE HIGGS-YUKAWA MODEL IN CURVED SPACETIME
|
LaTeX, 9 pages, 1 uu-figure
|
Phys.Rev.D51:5950-5953,1995
|
10.1103/PhysRevD.51.5950
|
CEAB 95/3-16
|
hep-th
| null |
The Higgs-Yukawa model in curved spacetime (renormalizable in the usual
sense) is considered near the critical point, employing the $1/N$--expansion
and renormalization group techniques. By making use of the equivalence of this
model with the standard NJL model, the effective potential in the linear
curvature approach is calculated and the dynamically generated fermionic mass
is found. A numerical study of chiral symmetry breaking by curvature effects is
presented.
|
[
{
"created": "Thu, 16 Mar 1995 17:46:07 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] |
The Higgs-Yukawa model in curved spacetime (renormalizable in the usual sense) is considered near the critical point, employing the $1/N$--expansion and renormalization group techniques. By making use of the equivalence of this model with the standard NJL model, the effective potential in the linear curvature approach is calculated and the dynamically generated fermionic mass is found. A numerical study of chiral symmetry breaking by curvature effects is presented.
|
2206.13541
|
Niall Macpherson
|
Yolanda Lozano, Niall T. Macpherson, Nicol\`o Petri, Cristian Risco
|
New AdS$_3$/CFT$_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$
supersymmetries
|
41 pages + appendix. v2 minor corrections, published version
| null |
10.1007/JHEP09(2022)130
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a new class of $\text{AdS}_3\times $S$^3\times $M$_4$ solutions
of massive Type IIA supergravity with $(0,4)$ supersymmetries and SU(3)
structure. We study in detail two subclasses of these solutions. The first
subclass is when M$_4=$S$^2\times \Sigma_2$, with $\Sigma_2$ a 2d Riemann
surface, and the geometry is foliated over the $\Sigma_2$. We interpret these
solutions as duals to surface defect CFTs within the 6d $(1,0)$ CFTs dual to
the $\text{AdS}_7\times$S$^2\times I$ solutions of massive IIA supergravity.
The second subclass is when M$_4=\mathbb{T}^3\times I$ and the geometry is
foliated over the interval. In this case supersymmetry is enhanced to $(4,4)$
in the massless limit, and the solutions are holographically dual to $(4,4)$
CFTs living in two dimensional D2-NS5-D4 Hanany-Witten brane set-ups. In turn,
in the massive case the solutions find an interpretation as D2-D4 branes
embedded in Type I' string theory. We construct explicit quiver gauge theories
from the different brane set-ups that flow in the IR to the 2d dual CFTs dual
to the solutions. We check the validity of our proposals with the matching
between the field theory and holographic central charges.
|
[
{
"created": "Mon, 27 Jun 2022 18:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Sep 2022 07:12:56 GMT",
"version": "v2"
}
] |
2022-09-28
|
[
[
"Lozano",
"Yolanda",
""
],
[
"Macpherson",
"Niall T.",
""
],
[
"Petri",
"Nicolò",
""
],
[
"Risco",
"Cristian",
""
]
] |
We construct a new class of $\text{AdS}_3\times $S$^3\times $M$_4$ solutions of massive Type IIA supergravity with $(0,4)$ supersymmetries and SU(3) structure. We study in detail two subclasses of these solutions. The first subclass is when M$_4=$S$^2\times \Sigma_2$, with $\Sigma_2$ a 2d Riemann surface, and the geometry is foliated over the $\Sigma_2$. We interpret these solutions as duals to surface defect CFTs within the 6d $(1,0)$ CFTs dual to the $\text{AdS}_7\times$S$^2\times I$ solutions of massive IIA supergravity. The second subclass is when M$_4=\mathbb{T}^3\times I$ and the geometry is foliated over the interval. In this case supersymmetry is enhanced to $(4,4)$ in the massless limit, and the solutions are holographically dual to $(4,4)$ CFTs living in two dimensional D2-NS5-D4 Hanany-Witten brane set-ups. In turn, in the massive case the solutions find an interpretation as D2-D4 branes embedded in Type I' string theory. We construct explicit quiver gauge theories from the different brane set-ups that flow in the IR to the 2d dual CFTs dual to the solutions. We check the validity of our proposals with the matching between the field theory and holographic central charges.
|
1106.4631
|
Sanefumi Moriyama
|
Hiroyuki Fuji, Shinji Hirano, Sanefumi Moriyama
|
Summing Up All Genus Free Energy of ABJM Matrix Model
|
18 pages, no figures, v2: typos corrected and references added
|
JHEP 1108:001,2011
|
10.1007/JHEP08(2011)001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The localization technique allows us to compute the free energy of the U(N)_k
x U(N)_{-k} Chern-Simons-matter theory dual to type IIA strings on AdS_4 x CP^3
from weak to strong 't Hooft coupling \lambda = N / k at finite N, as
demonstrated by Drukker, Marino, and Putrov. In this note we study further the
free energy at large 't Hooft coupling with the aim of testing AdS/CFT at the
quantum gravity level and, in particular, sum up all the 1/N corrections, apart
from the worldsheet instanton contributions. The all genus partition function
takes a remarkably simple form -- the Airy function, Ai (k^{4/3} \lambda_r),
with the renormalized 't Hooft coupling \lambda_r.
|
[
{
"created": "Thu, 23 Jun 2011 05:28:39 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2011 05:16:13 GMT",
"version": "v2"
}
] |
2011-08-03
|
[
[
"Fuji",
"Hiroyuki",
""
],
[
"Hirano",
"Shinji",
""
],
[
"Moriyama",
"Sanefumi",
""
]
] |
The localization technique allows us to compute the free energy of the U(N)_k x U(N)_{-k} Chern-Simons-matter theory dual to type IIA strings on AdS_4 x CP^3 from weak to strong 't Hooft coupling \lambda = N / k at finite N, as demonstrated by Drukker, Marino, and Putrov. In this note we study further the free energy at large 't Hooft coupling with the aim of testing AdS/CFT at the quantum gravity level and, in particular, sum up all the 1/N corrections, apart from the worldsheet instanton contributions. The all genus partition function takes a remarkably simple form -- the Airy function, Ai (k^{4/3} \lambda_r), with the renormalized 't Hooft coupling \lambda_r.
|
hep-th/0009013
|
Bianca Letizia Cerchiai
|
Bianca L.Cerchiai, Bruno Zumino
|
Properties of perturbative solutions of unilateral matrix equations
|
latex, 10 pages
|
Lett.Math.Phys.54:33-42,2000
|
10.1023/A:1007690508610
|
UCB-PTH-00/27, LBNL-46775
|
hep-th math.RA
| null |
A left-unilateral matrix equation is an algebraic equation of the form $$
a_0+a_1 x+a_2 x^2+... +a_n x^n=0 $$ where the coefficients $a_r$ and the
unknown $x$ are square matrices of the same order and all coefficients are on
the left (similarly for a right-unilateral equation). Recently certain
perturbative solutions of unilateral equations and their properties have been
discussed. We present a unified approach based on the generalized Bezout
theorem for matrix polynomials. Two equations discussed in the literature,
their perturbative solutions and the relation between them are described. More
abstractly, the coefficients and the unknown can be taken as elements of an
associative, but possibly noncommutative, algebra.
|
[
{
"created": "Sat, 2 Sep 2000 00:03:03 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Cerchiai",
"Bianca L.",
""
],
[
"Zumino",
"Bruno",
""
]
] |
A left-unilateral matrix equation is an algebraic equation of the form $$ a_0+a_1 x+a_2 x^2+... +a_n x^n=0 $$ where the coefficients $a_r$ and the unknown $x$ are square matrices of the same order and all coefficients are on the left (similarly for a right-unilateral equation). Recently certain perturbative solutions of unilateral equations and their properties have been discussed. We present a unified approach based on the generalized Bezout theorem for matrix polynomials. Two equations discussed in the literature, their perturbative solutions and the relation between them are described. More abstractly, the coefficients and the unknown can be taken as elements of an associative, but possibly noncommutative, algebra.
|
hep-th/9511114
|
Maxim Zyskin
|
M.Zyskin
|
Light-Ray Radon Transform for Abelianin and Nonabelian Connection in 3
and 4 Dimensional Space with Minkowsky Metric
|
We add an important discussion part, establishing the relation of our
Radon transform with the self-dual Yang-Mills, string theory, and the
represntation theory of the group SL(2,R)
|
Phys.Rev. D56 (1997) 1175-1187
|
10.1103/PhysRevD.56.1175
| null |
hep-th
| null |
We consider a real manifold of dimension 3 or 4 with Minkovsky metric, and
with a connection for a trivial GL(n,C) bundle over that manifold. To each
light ray on the manifold we assign the data of paralel transport along that
light ray. It turns out that these data are not enough to reconstruct the
connection, but we can add more data, which depend now not from lines but from
2-planes, and which in some sence are the data of parallel transport in the
complex light-like directions, then we can reconstruct the connection up to a
gauge transformation. There are some interesting applications of the
construction: 1) in 4 dimensions, the self-dual Yang Mills equations can be
written as the zero curvature condition for a pair of certain first order
differential operators; one of the operators in the pair is the covariant
derivative in complex light-like direction we studied. 2) there is a relation
of this Radon transform with the supersymmetry. 3)using our Radon transform, we
can get a measure on the space of 2 dimensional planes in 4 dimensional real
space. Any such measure give rise to a Crofton 2-density. The integrals of this
2-density over surfaces in R^4 give rise to the Lagrangian for maps of real
surfaces into R^4, and therefore to some string theory. 4) there are relations
with the representation theory. In particular, a closely related transform in 3
dimensions can be used to get the Plancerel formula for representations of
SL(2,R).
|
[
{
"created": "Thu, 16 Nov 1995 02:57:13 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Nov 1995 06:05:52 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Jan 1996 07:06:14 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Jan 1997 07:19:23 GMT",
"version": "v4"
}
] |
2016-09-06
|
[
[
"Zyskin",
"M.",
""
]
] |
We consider a real manifold of dimension 3 or 4 with Minkovsky metric, and with a connection for a trivial GL(n,C) bundle over that manifold. To each light ray on the manifold we assign the data of paralel transport along that light ray. It turns out that these data are not enough to reconstruct the connection, but we can add more data, which depend now not from lines but from 2-planes, and which in some sence are the data of parallel transport in the complex light-like directions, then we can reconstruct the connection up to a gauge transformation. There are some interesting applications of the construction: 1) in 4 dimensions, the self-dual Yang Mills equations can be written as the zero curvature condition for a pair of certain first order differential operators; one of the operators in the pair is the covariant derivative in complex light-like direction we studied. 2) there is a relation of this Radon transform with the supersymmetry. 3)using our Radon transform, we can get a measure on the space of 2 dimensional planes in 4 dimensional real space. Any such measure give rise to a Crofton 2-density. The integrals of this 2-density over surfaces in R^4 give rise to the Lagrangian for maps of real surfaces into R^4, and therefore to some string theory. 4) there are relations with the representation theory. In particular, a closely related transform in 3 dimensions can be used to get the Plancerel formula for representations of SL(2,R).
|
hep-th/0512184
|
Ralf Hofmann
|
Francesco Giacosa and Ralf Hofmann
|
A Planck-scale axion and SU(2) Yang-Mills dynamics: Present acceleration
and the fate of the photon
|
v3: consequences of an error in evolution equation for coupling
rectified, only a minimal change in physics results, two refs. added
|
Eur.Phys.J.C50:635-646,2007
|
10.1140/epjc/s10052-007-0214-x
| null |
hep-th
| null |
From the time of CMB decoupling onwards we investigate cosmological evolution
subject to a strongly interacting SU(2) gauge theory of Yang-Mills scale
$\Lambda\sim 10^{-4}$ eV (masquerading as the $U(1)_{Y}$ factor of the SM at
present). The viability of this postulate is discussed in view of cosmological
and (astro)particle physics bounds. The gauge theory is coupled to a spatially
homogeneous and ultra-light (Planck-scale) axion field. As first pointed out by
Frieman et al., such an axion is a viable candidate for quintessence, i.e.
dynamical dark energy, being associated with today's cosmological acceleration.
A prediction of an upper limit $\Delta t_{m_\gamma=0}$ for the duration of the
epoch stretching from the present to the point where the photon starts to be
Meissner massive is obtained: $\Delta t_{m_\gamma=0}\sim 2.2$ billion years.
|
[
{
"created": "Thu, 15 Dec 2005 14:08:46 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2006 11:25:27 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Nov 2006 09:08:25 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Giacosa",
"Francesco",
""
],
[
"Hofmann",
"Ralf",
""
]
] |
From the time of CMB decoupling onwards we investigate cosmological evolution subject to a strongly interacting SU(2) gauge theory of Yang-Mills scale $\Lambda\sim 10^{-4}$ eV (masquerading as the $U(1)_{Y}$ factor of the SM at present). The viability of this postulate is discussed in view of cosmological and (astro)particle physics bounds. The gauge theory is coupled to a spatially homogeneous and ultra-light (Planck-scale) axion field. As first pointed out by Frieman et al., such an axion is a viable candidate for quintessence, i.e. dynamical dark energy, being associated with today's cosmological acceleration. A prediction of an upper limit $\Delta t_{m_\gamma=0}$ for the duration of the epoch stretching from the present to the point where the photon starts to be Meissner massive is obtained: $\Delta t_{m_\gamma=0}\sim 2.2$ billion years.
|
1905.07425
|
Tadashi Okazaki
|
Tadashi Okazaki
|
Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
|
81 pages, 17 figures, v3: published version
|
JHEP 1908 (2019) 170
|
10.1007/JHEP08(2019)170
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose dual pairs of $\mathcal{N}=(0,4)$ half-BPS boundary conditions for
3d $\mathcal{N}=4$ Abelian gauge theories related to mirror symmetry and
S-duality by showing the matching of boundary 't Hooft anomalies and
supersymmetric indices. We find simple $\mathcal{N}=(0,4)$ mirror symmetry
between 2d $\mathcal{N}=(0,4)$ Abelian gauge theories and free Fermi multiplets
that generalizes $\mathcal{N}=(0,2)$ Abelian duality. We also propose a
prescription for computing half-index of enriched Neumann boundary condition
including 2d boundary bosonic matters by gauging the 2d boundary flavor
symmetry of Dirichlet boundary condition. By coupling $\mathcal{N}=(0,4)$
half-BPS boundary configurations of 3d $\mathcal{N}=4$ gauge theories to
quarter-BPS corner configurations of 4d $\mathcal{N}=4$ Super Yang-Mills
theories, we further obtain a new type of 4d-3d-2d duality that may involve 3d
non-Abelian gauge symmetry.
|
[
{
"created": "Fri, 17 May 2019 18:25:52 GMT",
"version": "v1"
},
{
"created": "Thu, 23 May 2019 12:53:58 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Aug 2019 12:20:39 GMT",
"version": "v3"
}
] |
2019-09-02
|
[
[
"Okazaki",
"Tadashi",
""
]
] |
We propose dual pairs of $\mathcal{N}=(0,4)$ half-BPS boundary conditions for 3d $\mathcal{N}=4$ Abelian gauge theories related to mirror symmetry and S-duality by showing the matching of boundary 't Hooft anomalies and supersymmetric indices. We find simple $\mathcal{N}=(0,4)$ mirror symmetry between 2d $\mathcal{N}=(0,4)$ Abelian gauge theories and free Fermi multiplets that generalizes $\mathcal{N}=(0,2)$ Abelian duality. We also propose a prescription for computing half-index of enriched Neumann boundary condition including 2d boundary bosonic matters by gauging the 2d boundary flavor symmetry of Dirichlet boundary condition. By coupling $\mathcal{N}=(0,4)$ half-BPS boundary configurations of 3d $\mathcal{N}=4$ gauge theories to quarter-BPS corner configurations of 4d $\mathcal{N}=4$ Super Yang-Mills theories, we further obtain a new type of 4d-3d-2d duality that may involve 3d non-Abelian gauge symmetry.
|
hep-th/9803133
|
Kei-ichi Kondo
|
Kei-Ichi Kondo (Chiba Univ., Japan)
|
Existence of Confinement Phase in Quantum Electrodynamics
|
23 pages, Latex, version to appear in Phys. Rev. D (minor changes in
sec.4.1 and addition of references)
|
Phys.Rev. D58 (1998) 085013
|
10.1103/PhysRevD.58.085013
|
CHIBA-EP-105
|
hep-th hep-lat hep-ph
| null |
We show that the four-dimensional U(1) gauge theory in the continuum
formulation has a confining phase (exhibiting area law of the Wilson loop) in
the strong coupling region above a critical coupling $g_c$. This result is
obtained by taking into account topological non-trivial sectors in U(1) gauge
theory. The derivation is based on the reformulation of gauge theory as a
deformation of a topological quantum field theory and subsequent dimensional
reduction of the D-dimensional topological quantum field theory to the
(D-2)-dimensional nonlinear sigma model. The topological quantum field theory
part of the four-dimensional U(1) gauge theory is exactly equivalent to the
two-dimensional O(2) nonlinear sigma model. The confining (resp. Coulomb) phase
of U(1) gauge theory corresponds to the high (resp. low) temperature phase of
O(2) nonlinear sigma model and the critical point $g_c$ is determined by the
Berezinskii-Kosterlitz-Thouless phase transition temperature. The quark
(charge) confinement in the strong coupling phase is caused by the vortex
condensation. Thus the continuum gauge theory has the direct correspondence to
the compact formulation of lattice gauge theory.
|
[
{
"created": "Tue, 17 Mar 1998 06:06:43 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 1998 01:58:56 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kondo",
"Kei-Ichi",
"",
"Chiba Univ., Japan"
]
] |
We show that the four-dimensional U(1) gauge theory in the continuum formulation has a confining phase (exhibiting area law of the Wilson loop) in the strong coupling region above a critical coupling $g_c$. This result is obtained by taking into account topological non-trivial sectors in U(1) gauge theory. The derivation is based on the reformulation of gauge theory as a deformation of a topological quantum field theory and subsequent dimensional reduction of the D-dimensional topological quantum field theory to the (D-2)-dimensional nonlinear sigma model. The topological quantum field theory part of the four-dimensional U(1) gauge theory is exactly equivalent to the two-dimensional O(2) nonlinear sigma model. The confining (resp. Coulomb) phase of U(1) gauge theory corresponds to the high (resp. low) temperature phase of O(2) nonlinear sigma model and the critical point $g_c$ is determined by the Berezinskii-Kosterlitz-Thouless phase transition temperature. The quark (charge) confinement in the strong coupling phase is caused by the vortex condensation. Thus the continuum gauge theory has the direct correspondence to the compact formulation of lattice gauge theory.
|
1608.06692
|
Luis Cesar Nunes dos Santos
|
L. C. N. Santos and C. C. Barros Jr
|
Scalar bosons under the influence of noninertial effects in the cosmic
string spacetime
| null | null |
10.1140/epjc/s10052-017-4732-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we present two different classes of solutions for the
Klein-Gordon equation in the presence of a scalar potential under the influence
of noninertial effects in the cosmic string spacetime. We show that noninertial
effects restrict the physical region of the spacetime where the particle can be
placed, and furthermore that the energy levels are shifted by these effects. In
addition, we show that the presence of a Coulomb-like scalar potential allows
the formation bound states when the Klein-Gordon equation is considered in this
kind of spacetime.
|
[
{
"created": "Wed, 24 Aug 2016 02:25:29 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Mar 2017 17:29:09 GMT",
"version": "v2"
}
] |
2017-03-30
|
[
[
"Santos",
"L. C. N.",
""
],
[
"Barros",
"C. C.",
"Jr"
]
] |
In this paper we present two different classes of solutions for the Klein-Gordon equation in the presence of a scalar potential under the influence of noninertial effects in the cosmic string spacetime. We show that noninertial effects restrict the physical region of the spacetime where the particle can be placed, and furthermore that the energy levels are shifted by these effects. In addition, we show that the presence of a Coulomb-like scalar potential allows the formation bound states when the Klein-Gordon equation is considered in this kind of spacetime.
|
hep-th/9609214
|
Masato Hisakado
|
Masato Hisakado
|
Unitary Matrix Models and Painlev\'{e} III
|
10 pages, LaTeX, final version to appear in Mod. Phys. Lett. A
|
Mod.Phys.Lett. A11 (1996) 3001-3010
|
10.1142/S0217732396002976
| null |
hep-th
| null |
We discussed the full unitary matrix models from the view points of
integrable equations and string equations. Coupling the Toda equations and the
string equations, we derive a special case of the Painlev\'{e} III equation.
From the Virasoro constrains, we can use the radial coordinate. The relation
between $t_{1}$ and $t_{-1}$ is like the complex conjugate. %An implicit to the
$t\bar{t}$ fusion of topological sigma model %is therby expected.
|
[
{
"created": "Fri, 27 Sep 1996 06:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 1996 05:14:02 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Hisakado",
"Masato",
""
]
] |
We discussed the full unitary matrix models from the view points of integrable equations and string equations. Coupling the Toda equations and the string equations, we derive a special case of the Painlev\'{e} III equation. From the Virasoro constrains, we can use the radial coordinate. The relation between $t_{1}$ and $t_{-1}$ is like the complex conjugate. %An implicit to the $t\bar{t}$ fusion of topological sigma model %is therby expected.
|
hep-th/0303016
|
Ralph Blumenhagen
|
Ralph Blumenhagen, Dieter Lust and Tomasz R. Taylor
|
Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
|
30 pages, TeX, harvmac, final version accepted to Nuclear Physics B
|
Nucl.Phys.B663:319-342,2003
|
10.1016/S0550-3213(03)00392-4
|
HUB-EP-03/06, CERN-TH/2003-032
|
hep-th
| null |
We consider Type IIB orientifold models on Calabi-Yau spaces with three-form
G-flux turned on. These fluxes freeze some of the complex structure moduli and
the complex dilaton via an F-term scalar potential. By introducing pairs of
D9-anti-D9 branes with abelian magnetic fluxes it is possible to freeze also
some of the Kaehler moduli via a D-term potential. Moreover, such magnetic
fluxes in general lead to chiral fermions, which make them interesting for
string model-building. These issues are demonstrated in a simple toy model
based on a Z_2 x Z_2' orbifold.
|
[
{
"created": "Mon, 3 Mar 2003 15:07:05 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2003 09:13:58 GMT",
"version": "v2"
},
{
"created": "Fri, 2 May 2003 13:54:58 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Lust",
"Dieter",
""
],
[
"Taylor",
"Tomasz R.",
""
]
] |
We consider Type IIB orientifold models on Calabi-Yau spaces with three-form G-flux turned on. These fluxes freeze some of the complex structure moduli and the complex dilaton via an F-term scalar potential. By introducing pairs of D9-anti-D9 branes with abelian magnetic fluxes it is possible to freeze also some of the Kaehler moduli via a D-term potential. Moreover, such magnetic fluxes in general lead to chiral fermions, which make them interesting for string model-building. These issues are demonstrated in a simple toy model based on a Z_2 x Z_2' orbifold.
|
hep-th/0111242
|
Vladimir Nesterenko
|
V.V. Nesterenko, G. Lambiase, and G. Scarpetta
|
Casimir energy of a dilute dielectric ball at zero and finite
temperature
|
4 pages, LaTeX, no figures. Contribution to the Proceedings of the
Fifth Workshop on Quantum Field Theory under the Influence of External
Conditions, 10-14 Sept. 2001, Leipzig. Editor: M. Bordag
|
Int.J.Mod.Phys. A17 (2002) 790-793
|
10.1142/S0217751X02010121
| null |
hep-th
| null |
The basic results in calculations of the thermodynamic functions of
electromagnetic field in the background of a dilute dielectric ball at zero and
finite temperature are presented. Summation over the angular momentum values is
accomplished in a closed form by making use of the addition theorem for the
relevant Bessel functions. The behavior of the thermodynamic characteristics in
the low and high temperature limits is investigated. The $T^3$-term in the low
temperature expansion of the free energy is recovered (this term has been lost
in our previous calculations).
|
[
{
"created": "Tue, 27 Nov 2001 12:37:49 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Nesterenko",
"V. V.",
""
],
[
"Lambiase",
"G.",
""
],
[
"Scarpetta",
"G.",
""
]
] |
The basic results in calculations of the thermodynamic functions of electromagnetic field in the background of a dilute dielectric ball at zero and finite temperature are presented. Summation over the angular momentum values is accomplished in a closed form by making use of the addition theorem for the relevant Bessel functions. The behavior of the thermodynamic characteristics in the low and high temperature limits is investigated. The $T^3$-term in the low temperature expansion of the free energy is recovered (this term has been lost in our previous calculations).
|
1212.5234
|
Walter Baron
|
Walter H. Baron, Damian Galante and Martin Schvellinger
|
Dynamics of holographic thermalization
|
25 pages, 4 figures. V2: published version
|
JHEP 1303 (2013) 070
|
10.1007/JHEP03(2013)070
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Dynamical evolution of thin shells composed by different kinds of degrees of
freedom collapsing within asymptotically AdS spaces is explored with the aim of
investigating models of holographic thermalization of strongly coupled systems.
From the quantum field theory point of view this corresponds to considering
different thermal quenches. We carry out a general study of the thermalization
time scale using different parameters and space-time dimensions, by calculating
renormalized space-like geodesic lengths and rectangular minimal area surfaces
as extended probes of thermalization, which are dual to two-point functions and
rectangular Wilson loops. Different kinds of degrees of freedom in the shell
are described by their corresponding equations of state. We consider a scalar
field, as well as relativistic matter, a pressureless massive fluid and
conformal matter, which can be compared with the collapse of an AdS-Vaidya thin
shell. Remarkably, for conformal matter, the thermalization time scale becomes
much larger than the others. Furthermore, in each case we also investigate
models where the cosmological constants of the inner and outer regions
separated by the shell are different. We found that in this case only a scalar
field shell collapses, and that the thermalization time scale is also much
larger than the AdS-Vaidya case.
|
[
{
"created": "Thu, 20 Dec 2012 20:37:20 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Apr 2013 19:19:04 GMT",
"version": "v2"
}
] |
2013-04-09
|
[
[
"Baron",
"Walter H.",
""
],
[
"Galante",
"Damian",
""
],
[
"Schvellinger",
"Martin",
""
]
] |
Dynamical evolution of thin shells composed by different kinds of degrees of freedom collapsing within asymptotically AdS spaces is explored with the aim of investigating models of holographic thermalization of strongly coupled systems. From the quantum field theory point of view this corresponds to considering different thermal quenches. We carry out a general study of the thermalization time scale using different parameters and space-time dimensions, by calculating renormalized space-like geodesic lengths and rectangular minimal area surfaces as extended probes of thermalization, which are dual to two-point functions and rectangular Wilson loops. Different kinds of degrees of freedom in the shell are described by their corresponding equations of state. We consider a scalar field, as well as relativistic matter, a pressureless massive fluid and conformal matter, which can be compared with the collapse of an AdS-Vaidya thin shell. Remarkably, for conformal matter, the thermalization time scale becomes much larger than the others. Furthermore, in each case we also investigate models where the cosmological constants of the inner and outer regions separated by the shell are different. We found that in this case only a scalar field shell collapses, and that the thermalization time scale is also much larger than the AdS-Vaidya case.
|
hep-th/0406129
|
Juan Mateos Guilarte
|
A. Alonso Izquierdo, W. Garcia Fuertes, M. de la Torre Mayado, J.
Mateos Guilarte
|
Quantum corrections to the mass of self-dual vortices
|
4 pages RevTex, version to appear in Physical Review D
|
Phys.Rev. D70 (2004) 061702
| null | null |
hep-th
| null |
The mass shift induced by one-loop quantum fluctuations on self-dual ANO
vortices is computed using heat kernel/generalized zeta function regularization
methods.
|
[
{
"created": "Tue, 15 Jun 2004 08:11:03 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 2004 09:43:57 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Izquierdo",
"A. Alonso",
""
],
[
"Fuertes",
"W. Garcia",
""
],
[
"Mayado",
"M. de la Torre",
""
],
[
"Guilarte",
"J. Mateos",
""
]
] |
The mass shift induced by one-loop quantum fluctuations on self-dual ANO vortices is computed using heat kernel/generalized zeta function regularization methods.
|
2308.11576
|
Alberto Brollo
|
Alberto Brollo and Dennis le Plat and Alessandro Sfondrini and Ryo
Suzuki
|
More on the tensionless limit of pure-Ramond-Ramond AdS3/CFT2
|
82 pages, many figures and tables
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a recent letter we presented the equations which describe tensionless
limit of the excited-state spectrum for strings on $AdS_3\times S^3\times T^4$
supported by Ramond-Ramond flux, and their numerical solution. In this paper,
we give a detailed account of the derivation of these equations from the mirror
TBA equations proposed by Frolov and Sfondrini, discussing the
contour-deformation trick which we used to obtain excited-state equations and
the tensionless limit. We also comment at length on the algorithm for the
numerical solution of the equations in the tensionless limit, and present a
number of explicit numerical results, as well as comment on their
interpretation.
|
[
{
"created": "Tue, 22 Aug 2023 17:27:43 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Nov 2023 10:27:37 GMT",
"version": "v2"
}
] |
2023-11-27
|
[
[
"Brollo",
"Alberto",
""
],
[
"Plat",
"Dennis le",
""
],
[
"Sfondrini",
"Alessandro",
""
],
[
"Suzuki",
"Ryo",
""
]
] |
In a recent letter we presented the equations which describe tensionless limit of the excited-state spectrum for strings on $AdS_3\times S^3\times T^4$ supported by Ramond-Ramond flux, and their numerical solution. In this paper, we give a detailed account of the derivation of these equations from the mirror TBA equations proposed by Frolov and Sfondrini, discussing the contour-deformation trick which we used to obtain excited-state equations and the tensionless limit. We also comment at length on the algorithm for the numerical solution of the equations in the tensionless limit, and present a number of explicit numerical results, as well as comment on their interpretation.
|
hep-th/0311108
|
Sigbjorn Hervik
|
Sigbjorn Hervik
|
Einstein metrics: Homogeneous solvmanifolds, generalised Heisenberg
groups and Black Holes
|
17 pages
|
J.Geom.Phys.52:298-312,2004
|
10.1016/j.geomphys.2004.03.005
|
DAMTP-2003-124
|
hep-th gr-qc math-ph math.MP
| null |
In this paper we construct Einstein spaces with negative Ricci curvature in
various dimensions. These spaces -- which can be thought of as generalised AdS
spacetimes -- can be classified in terms of the geometry of the horospheres in
Poincare-like coordinates, and can be both homogeneous and static. By using
simple building blocks, which in general are homogeneous Einstein
solvmanifolds, we give a general algorithm for constructing Einstein metrics
where the horospheres are any product of generalised Heisenberg geometries,
nilgeometries, solvegeometries, or Ricci-flat manifolds. Furthermore, we show
that all of these spaces can give rise to black holes with the horizon geometry
corresponding to the geometry of the horospheres, by explicitly deriving their
metrics.
|
[
{
"created": "Thu, 13 Nov 2003 14:21:38 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Hervik",
"Sigbjorn",
""
]
] |
In this paper we construct Einstein spaces with negative Ricci curvature in various dimensions. These spaces -- which can be thought of as generalised AdS spacetimes -- can be classified in terms of the geometry of the horospheres in Poincare-like coordinates, and can be both homogeneous and static. By using simple building blocks, which in general are homogeneous Einstein solvmanifolds, we give a general algorithm for constructing Einstein metrics where the horospheres are any product of generalised Heisenberg geometries, nilgeometries, solvegeometries, or Ricci-flat manifolds. Furthermore, we show that all of these spaces can give rise to black holes with the horizon geometry corresponding to the geometry of the horospheres, by explicitly deriving their metrics.
|
hep-th/9607006
|
Saurya Das
|
Saurya Das (Institute of Mathematical Sciences, Madras)
|
Eikonal Approach to Planck Scale Physics
|
Talk given at XVIII Conference of the Indian Association for General
Relativity and Gravitation, Madras, February 15-17, 1996. 15 pages, REVTeX,
with 2 figures as a .tar.gz.uu file
| null | null |
IMSc-96/05/13
|
hep-th gr-qc
| null |
We consider gravitational scattering of point particles with Planckian
centre-of-mass energy and fixed low momentum transfers in the framework of
general relativity and dilaton gravity. The geometry around the particles are
modelled by arbitrary black hole metrics of general relativity to calculate the
scattering amplitudes. However, for dilaton gravity, this modelling can be done
{\it only} by extremal black hole metrics. This is consistent with the
conjecture that extremal black holes are elementary particles.
|
[
{
"created": "Mon, 1 Jul 1996 17:09:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Das",
"Saurya",
"",
"Institute of Mathematical Sciences, Madras"
]
] |
We consider gravitational scattering of point particles with Planckian centre-of-mass energy and fixed low momentum transfers in the framework of general relativity and dilaton gravity. The geometry around the particles are modelled by arbitrary black hole metrics of general relativity to calculate the scattering amplitudes. However, for dilaton gravity, this modelling can be done {\it only} by extremal black hole metrics. This is consistent with the conjecture that extremal black holes are elementary particles.
|
1904.07665
|
Saskia Demulder
|
Saskia Demulder
|
Quantum properties and generalised T-duality of the Yang-Baxter
Wess-Zumino model
|
13 pages, 3 figures, Submitted as proceedings for the 2018 conference
"School and Workshops on Elementary Particle Physics and Gravity" held at the
Corfu Summer Institute
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short proceedings we discuss some of the results obtained in [1].
Integrable deformations enlarge the landscape and understanding of integrable
models and its algebraic structures like quantum groups. In this short
proceedings, we will review the one-loop renormalisation group analysis of an
integrable deformation known as the Yang-Baxter Wess-Zumino model. This
classically integrable model shows a striking stability under one-loop
renormalisation. In addition, we show how Poisson-Lie T-duality, a
generalisation of T-duality that is closely intertwined with integrable
deformations, is particularly simple and elegant for the Yang-Baxter
Wess-Zumino model.
|
[
{
"created": "Tue, 16 Apr 2019 13:41:29 GMT",
"version": "v1"
},
{
"created": "Fri, 3 May 2019 04:40:25 GMT",
"version": "v2"
}
] |
2019-05-06
|
[
[
"Demulder",
"Saskia",
""
]
] |
In this short proceedings we discuss some of the results obtained in [1]. Integrable deformations enlarge the landscape and understanding of integrable models and its algebraic structures like quantum groups. In this short proceedings, we will review the one-loop renormalisation group analysis of an integrable deformation known as the Yang-Baxter Wess-Zumino model. This classically integrable model shows a striking stability under one-loop renormalisation. In addition, we show how Poisson-Lie T-duality, a generalisation of T-duality that is closely intertwined with integrable deformations, is particularly simple and elegant for the Yang-Baxter Wess-Zumino model.
|
hep-th/9803068
|
Moshe Rozali
|
Robert G. Leigh and Moshe Rozali
|
The Large N Limit of the (2,0) Superconformal Field Theory
|
Minor changes, version to appear in Physics Letters B
|
Phys.Lett.B431:311-316,1998
|
10.1016/S0370-2693(98)00495-X
|
ILL-(TH)-98-01
|
hep-th
| null |
We discuss the large N limit of the (2,0) field theory in six dimensions. We
do this by assuming the validity of Maldacena's conjecture of the
correspondence between large N gauge theories and supergravity backgrounds,
here $AdS_7\times S^4$. We review the spectrum of the supergravity theory and
compute the spectrum of primary operators of the conformal algebra of arbitrary
spin.
|
[
{
"created": "Mon, 9 Mar 1998 18:58:42 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Mar 1998 18:09:08 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Apr 1998 22:04:32 GMT",
"version": "v3"
}
] |
2009-02-23
|
[
[
"Leigh",
"Robert G.",
""
],
[
"Rozali",
"Moshe",
""
]
] |
We discuss the large N limit of the (2,0) field theory in six dimensions. We do this by assuming the validity of Maldacena's conjecture of the correspondence between large N gauge theories and supergravity backgrounds, here $AdS_7\times S^4$. We review the spectrum of the supergravity theory and compute the spectrum of primary operators of the conformal algebra of arbitrary spin.
|
2311.01516
|
Michael Winer
|
Brian Swingle, Michael Winer
|
A Bosonic Model of Quantum Holography
| null | null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We analyze a model of qubits which we argue has an emergent quantum
gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK)
model. The model we consider is known as the quantum $q$-spin model because it
features $q$-local interactions between qubits. It was previously studied as a
model of a quantum spin glass, and while we find that the model is glassy for
$q=2$, $q=3$, and likely $q=4$, we also find evidence for previously unexpected
SYK-like behavior for the quenched free energy down to the lowest temperatures
for $q \geq 5$. This SYK-like physics includes power-law correlation functions
and an extensive low temperature entropy, so we refer to the model as Spin SYK.
The model is generic in that it includes all possible $q$-body couplings, lacks
most symmetries, and has no spatial structure, so our results can be construed
as establishing a certain ubiquity of quantum holography in systems dominated
by many-body interactions. Furthermore, we discuss a generalized family of
models which includes Spin SYK and which provably exhibit SYK-like physics in
the solvable limit of large local Hilbert space dimension. We also comment on
implications of a bosonic system with SYK-like properties for the study of
holography, Hamiltonian complexity, and related topics.
|
[
{
"created": "Thu, 2 Nov 2023 18:04:10 GMT",
"version": "v1"
}
] |
2023-11-06
|
[
[
"Swingle",
"Brian",
""
],
[
"Winer",
"Michael",
""
]
] |
We analyze a model of qubits which we argue has an emergent quantum gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model. The model we consider is known as the quantum $q$-spin model because it features $q$-local interactions between qubits. It was previously studied as a model of a quantum spin glass, and while we find that the model is glassy for $q=2$, $q=3$, and likely $q=4$, we also find evidence for previously unexpected SYK-like behavior for the quenched free energy down to the lowest temperatures for $q \geq 5$. This SYK-like physics includes power-law correlation functions and an extensive low temperature entropy, so we refer to the model as Spin SYK. The model is generic in that it includes all possible $q$-body couplings, lacks most symmetries, and has no spatial structure, so our results can be construed as establishing a certain ubiquity of quantum holography in systems dominated by many-body interactions. Furthermore, we discuss a generalized family of models which includes Spin SYK and which provably exhibit SYK-like physics in the solvable limit of large local Hilbert space dimension. We also comment on implications of a bosonic system with SYK-like properties for the study of holography, Hamiltonian complexity, and related topics.
|
2207.13786
|
Jan \.Zochowski
|
Jan \.Zochowski
|
Constraints and Interactions in Quantization of Yukawa Model with Higher
Order Derivatives
| null | null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
This work is dedicated to the quantization of the light-front Yukawa model in
D=1+3 dimensions with higher order derivatives of the scalar field. The problem
of the computing Dirac brackets and the (anti-) commutator algebra of
interacting fields in the presence of the constraints is discussed. The Dirac
method and the Ostrogradski formalism of the higher order derivatives are
exploited. The systematic method of obtaining the inverse of the functional
Dirac-Bergmann matrix with interactions and higher order derivatives is
introduced in two variants. The discussion of applications and details of these
two variants are conducted. The results of the quantization in the form of the
(anti-) commutator algebra are presented and analyzed with special regard to
the structure of the interactions for the light-front Yukawa model, which
includes the higher order derivatives.
|
[
{
"created": "Fri, 1 Jul 2022 11:54:07 GMT",
"version": "v1"
}
] |
2022-07-29
|
[
[
"Żochowski",
"Jan",
""
]
] |
This work is dedicated to the quantization of the light-front Yukawa model in D=1+3 dimensions with higher order derivatives of the scalar field. The problem of the computing Dirac brackets and the (anti-) commutator algebra of interacting fields in the presence of the constraints is discussed. The Dirac method and the Ostrogradski formalism of the higher order derivatives are exploited. The systematic method of obtaining the inverse of the functional Dirac-Bergmann matrix with interactions and higher order derivatives is introduced in two variants. The discussion of applications and details of these two variants are conducted. The results of the quantization in the form of the (anti-) commutator algebra are presented and analyzed with special regard to the structure of the interactions for the light-front Yukawa model, which includes the higher order derivatives.
|
2007.14015
|
Taisuke Matsuda
|
Taisuke Matsuda and Shinji Mukohyama
|
Covariant entropy bound beyond general relativity
|
11 pages
|
Phys. Rev. D 103, 024002 (2021)
|
10.1103/PhysRevD.103.024002
|
YITP-20-95, IPMU20-0082
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a covariant entropy bound in gravitational theories beyond general
relativity (GR), using Wald-Jacobson-Myers entropy instead of
Bekenstein-Hawking entropy. We first extend the proof of the bound known in
4-dimensional GR to D-dimensional GR, f(R) gravity and canonical scalar-tensor
theory. We then consider Einstein-Gauss-Bonnet (EGB) gravity as a more
non-trivial example and, under a set of reasonable assumptions, prove the bound
in the GR branch of spherically symmetric configurations. As a corollary, it is
shown that under the null and dominant energy conditions, the generalized
second law holds in the GR branch of spherically symmetric configurations of
EGB gravity at the fully nonlinear level.
|
[
{
"created": "Tue, 28 Jul 2020 06:42:46 GMT",
"version": "v1"
}
] |
2021-01-13
|
[
[
"Matsuda",
"Taisuke",
""
],
[
"Mukohyama",
"Shinji",
""
]
] |
We propose a covariant entropy bound in gravitational theories beyond general relativity (GR), using Wald-Jacobson-Myers entropy instead of Bekenstein-Hawking entropy. We first extend the proof of the bound known in 4-dimensional GR to D-dimensional GR, f(R) gravity and canonical scalar-tensor theory. We then consider Einstein-Gauss-Bonnet (EGB) gravity as a more non-trivial example and, under a set of reasonable assumptions, prove the bound in the GR branch of spherically symmetric configurations. As a corollary, it is shown that under the null and dominant energy conditions, the generalized second law holds in the GR branch of spherically symmetric configurations of EGB gravity at the fully nonlinear level.
|
2212.13820
|
Alesandro Santos
|
D. S. Cabral and A. F. Santos
|
Compton scattering in TFD formalism
|
14 pages, 2 figures, accepted for publication in EPJC
| null |
10.1140/epjc/s10052-023-11182-x
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, the cross section for the Compton scattering process at finite
temperature is calculated. Temperature effects are introduced using the
Thermofield Dynamics (TFD) formalism. It is a real-time finite temperature
quantum field theory. Our result shows that thermal effects become relevant as
the temperature increases. A comparison between the TFD and closed-time path
results is presented.
|
[
{
"created": "Wed, 28 Dec 2022 13:44:26 GMT",
"version": "v1"
}
] |
2023-02-01
|
[
[
"Cabral",
"D. S.",
""
],
[
"Santos",
"A. F.",
""
]
] |
In this paper, the cross section for the Compton scattering process at finite temperature is calculated. Temperature effects are introduced using the Thermofield Dynamics (TFD) formalism. It is a real-time finite temperature quantum field theory. Our result shows that thermal effects become relevant as the temperature increases. A comparison between the TFD and closed-time path results is presented.
|
2311.13970
|
M.I. Vyazovsky
|
M.A. Braun, E.M. Kuzminskii and M.I. Vyazovsky (Saint-Petersburg State
University, Russia)
|
The reggeon model with the pomeron and odderon: renormalization group
approach
|
39 pages, 10 figures; submitted to Eur.Phys.Jour. C
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Regge-Gribov model of the pomeron and odderon in the non-trivial
transverse space is studied by the renormalization group technique. The single
loop approximation is adopted.
Five real fixed points are found and the high-energy behaviour of the
propagators is correspondingly calculated. As without odderon, the asymptotic
is modulated by logarithms of energy in certain rational powers. Movement of
coupling constants away from the fixed points is investigated both analytically
(close to the fixed points) and numerically (far away). In the former case
attraction occurs only in restricted domains of initial coupling constants.
More generally in one third of the cases the coupling constants instead grow
large indicating the breakdown of the single loop approximation.
|
[
{
"created": "Thu, 23 Nov 2023 12:34:00 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2024 03:29:59 GMT",
"version": "v2"
}
] |
2024-06-28
|
[
[
"Braun",
"M. A.",
"",
"Saint-Petersburg State\n University, Russia"
],
[
"Kuzminskii",
"E. M.",
"",
"Saint-Petersburg State\n University, Russia"
],
[
"Vyazovsky",
"M. I.",
"",
"Saint-Petersburg State\n University, Russia"
]
] |
The Regge-Gribov model of the pomeron and odderon in the non-trivial transverse space is studied by the renormalization group technique. The single loop approximation is adopted. Five real fixed points are found and the high-energy behaviour of the propagators is correspondingly calculated. As without odderon, the asymptotic is modulated by logarithms of energy in certain rational powers. Movement of coupling constants away from the fixed points is investigated both analytically (close to the fixed points) and numerically (far away). In the former case attraction occurs only in restricted domains of initial coupling constants. More generally in one third of the cases the coupling constants instead grow large indicating the breakdown of the single loop approximation.
|
hep-th/9702185
|
Pavlos Porfyriadis
|
A. Nicolaidis, J.E. Paschalis and P.I. Porfyriadis
|
String Tension and the Generation of the Conformal Anomaly
|
More references are included. Final version, to appear in Phys.Rev.D.
6 pages, LaTex, no figures
|
Phys.Rev. D58 (1998) 047901
|
10.1103/PhysRevD.58.047901
|
THES-TP 97/01
|
hep-th
| null |
The origin of the string conformal anomaly is studied in detail. We use a
reformulated string Lagrangian which allows to consider the string tension
$T_{0}$ as a small perturbation. The expansion parameter is the worldsheet
speed of light c, which is proportional to $T_{0}$ . We examine carefully the
interplay between a null (tensionless) string and a tensionful string which
includes orders $ c^{2} $ and higher. The conformal algebra generated by the
constraints is considered. At the quantum level the normal ordering provides a
central charge proportional to $ c^{2} $. Thus it is clear that quantum null
strings respect conformal invariance and it is the string tension which
generates the conformal anomaly.
|
[
{
"created": "Wed, 26 Feb 1997 02:46:35 GMT",
"version": "v1"
},
{
"created": "Tue, 26 May 1998 17:26:42 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Nicolaidis",
"A.",
""
],
[
"Paschalis",
"J. E.",
""
],
[
"Porfyriadis",
"P. I.",
""
]
] |
The origin of the string conformal anomaly is studied in detail. We use a reformulated string Lagrangian which allows to consider the string tension $T_{0}$ as a small perturbation. The expansion parameter is the worldsheet speed of light c, which is proportional to $T_{0}$ . We examine carefully the interplay between a null (tensionless) string and a tensionful string which includes orders $ c^{2} $ and higher. The conformal algebra generated by the constraints is considered. At the quantum level the normal ordering provides a central charge proportional to $ c^{2} $. Thus it is clear that quantum null strings respect conformal invariance and it is the string tension which generates the conformal anomaly.
|
hep-th/0311091
|
Rafael de Lima Rodrigues
|
R. de Lima Rodrigues
|
Generalized Ladder Operators for the Dirac-Coulomb Problem via SUSY QM
|
9 pages, Revtex. Preprint CBPF NF-032/03
|
Phys.Lett. A326 (2004) 42-46
|
10.1016/j.physleta.2004.04.013
| null |
hep-th
| null |
The supersymmetry in quantum mechanics and shape invariance condition are
applied as an algebraic method to solve the Dirac-Coulomb problem. The ground
state and the excited states are investigated using new generalized ladder
operators.
|
[
{
"created": "Tue, 11 Nov 2003 03:56:33 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Nov 2003 15:52:31 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Mar 2004 10:32:24 GMT",
"version": "v3"
},
{
"created": "Mon, 5 Apr 2004 23:37:04 GMT",
"version": "v4"
},
{
"created": "Mon, 17 May 2004 21:19:44 GMT",
"version": "v5"
}
] |
2015-06-26
|
[
[
"Rodrigues",
"R. de Lima",
""
]
] |
The supersymmetry in quantum mechanics and shape invariance condition are applied as an algebraic method to solve the Dirac-Coulomb problem. The ground state and the excited states are investigated using new generalized ladder operators.
|
hep-th/0203236
|
Ian McArthur
|
S.M. Kuzenko and I.N. McArthur (Western Australia U.)
|
Quantum metamorphosis of conformal symmetry in N = 4 super Yang-Mills
theory
|
20 pages, latex, no figures; comments and references added, the final
version to appear in NPB, the title changed on referee's request
|
Nucl.Phys. B640 (2002) 78-94
|
10.1016/S0550-3213(02)00584-9
| null |
hep-th
| null |
In gauge theories, not all rigid symmetries of the classical action can be
maintained manifestly in the quantization procedure, even in the absence of
anomalies. If this occurs for an anomaly-free symmetry, the effective action is
invariant under a transformation that differs from its classical counterpart by
quantum corrections. As shown by Fradkin and Palchik years ago, such a
phenomenon occurs for conformal symmetry in quantum Yang-Mills theories with
vanishing beta function, such as the N = 4 super Yang-Mills theory. More
recently, Jevicki et al demonstrated that the quantum metamorphosis of
conformal symmetry sheds light on the nature of the AdS/CFT correspondence. In
this paper, we derive the conformal Ward identity for the bosonic sector of the
N = 4 super Yang-Mills theory using the background field method. We then
compute the leading quantum modification of the conformal transformation for a
specific Abelian background which is of interest in the context of the AdS/CFT
correspondence. In the case of scalar fields, our final result agrees with that
of Jevicki et al. The resulting vector and scalar transformations coincide with
those which are characteristic of a D3-brane embedded in AdS5 x S5.
|
[
{
"created": "Tue, 26 Mar 2002 09:33:50 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2002 08:41:09 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jul 2002 01:05:11 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Kuzenko",
"S. M.",
"",
"Western Australia U."
],
[
"McArthur",
"I. N.",
"",
"Western Australia U."
]
] |
In gauge theories, not all rigid symmetries of the classical action can be maintained manifestly in the quantization procedure, even in the absence of anomalies. If this occurs for an anomaly-free symmetry, the effective action is invariant under a transformation that differs from its classical counterpart by quantum corrections. As shown by Fradkin and Palchik years ago, such a phenomenon occurs for conformal symmetry in quantum Yang-Mills theories with vanishing beta function, such as the N = 4 super Yang-Mills theory. More recently, Jevicki et al demonstrated that the quantum metamorphosis of conformal symmetry sheds light on the nature of the AdS/CFT correspondence. In this paper, we derive the conformal Ward identity for the bosonic sector of the N = 4 super Yang-Mills theory using the background field method. We then compute the leading quantum modification of the conformal transformation for a specific Abelian background which is of interest in the context of the AdS/CFT correspondence. In the case of scalar fields, our final result agrees with that of Jevicki et al. The resulting vector and scalar transformations coincide with those which are characteristic of a D3-brane embedded in AdS5 x S5.
|
1006.2392
|
Helmut Roschy
|
Helmut Roschy and Thorsten Rahn
|
Cohomology of Line Bundles: Proof of the Algorithm
|
Download of the implementation in C++:
http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg
|
J. Math. Phys.51:103520, 2010
|
10.1063/1.3501135
|
MPP-2010-64
|
hep-th math.AC math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a proof of the algorithm for computing line bundle valued
cohomology classes over toric varieties conjectured by R.~Blumenhagen, B.~Jurke
and the authors (arXiv:1003.5217) and suggest a kind of Serre duality for
combinatorial Betti numbers that we observed when computing examples.
|
[
{
"created": "Fri, 11 Jun 2010 20:11:31 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Roschy",
"Helmut",
""
],
[
"Rahn",
"Thorsten",
""
]
] |
We present a proof of the algorithm for computing line bundle valued cohomology classes over toric varieties conjectured by R.~Blumenhagen, B.~Jurke and the authors (arXiv:1003.5217) and suggest a kind of Serre duality for combinatorial Betti numbers that we observed when computing examples.
|
2003.04503
|
Tiago Garcia Ribeiro
|
Poliane de Morais Teixeira, Ilya L. Shapiro and Tiago G. Ribeiro
|
One-loop effective action: nonlocal form factors and renormalization
group
|
Improved presentation, corrected misprints. Fits the version accepted
in Gravitation and Cosmology
|
Gravitation and Cosmology, {\bf 26}, No. 3 (2020) 185 - 199
|
10.1134/S0202289320030123
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review and present full detail of the Feynman diagram - based and
heat-kernel method - based calculations of the simplest nonlocal form factors
in the one-loop contributions of a massive scalar field. The paper has a
pedagogical and introductory purposes and is intended to help the reader in
better understanding the existing literature on the subject. The functional
calculations are based on the solution by Avramidi and Barvinsky \& Vilkovisky
for the heat kernel and are performed in curved spacetime. One of the important
points is that the main structure of non-localities is the same as in the flat
background.
|
[
{
"created": "Tue, 10 Mar 2020 02:10:14 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Mar 2020 01:09:58 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Jun 2020 14:57:32 GMT",
"version": "v3"
}
] |
2020-09-25
|
[
[
"Teixeira",
"Poliane de Morais",
""
],
[
"Shapiro",
"Ilya L.",
""
],
[
"Ribeiro",
"Tiago G.",
""
]
] |
We review and present full detail of the Feynman diagram - based and heat-kernel method - based calculations of the simplest nonlocal form factors in the one-loop contributions of a massive scalar field. The paper has a pedagogical and introductory purposes and is intended to help the reader in better understanding the existing literature on the subject. The functional calculations are based on the solution by Avramidi and Barvinsky \& Vilkovisky for the heat kernel and are performed in curved spacetime. One of the important points is that the main structure of non-localities is the same as in the flat background.
|
1006.3199
|
Pavlos Pasipoularides
|
G. Koutsoumbas and P. Pasipoularides
|
Black hole solutions in Horava-Lifshitz Gravity with cubic terms
|
25 pages, 3 figures, accepted in Phys. Rev. D
|
Phys.Rev.D82:044046,2010
|
10.1103/PhysRevD.82.044046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study four dimensional non-projectable Horava-Lifshitz type gravity, in
the case of an action with terms, cubic in curvature. For special choices of
the free parameters of the model, we obtain two new analytic black hole
solutions which exhibit the standard Schwarzschild asymptotic behavior in the
large distance limit. The effect of cubic terms in the short range behavior of
the black hole solutions is discussed.
|
[
{
"created": "Wed, 16 Jun 2010 13:07:36 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jun 2010 13:56:51 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Aug 2010 10:13:59 GMT",
"version": "v3"
}
] |
2014-11-21
|
[
[
"Koutsoumbas",
"G.",
""
],
[
"Pasipoularides",
"P.",
""
]
] |
We study four dimensional non-projectable Horava-Lifshitz type gravity, in the case of an action with terms, cubic in curvature. For special choices of the free parameters of the model, we obtain two new analytic black hole solutions which exhibit the standard Schwarzschild asymptotic behavior in the large distance limit. The effect of cubic terms in the short range behavior of the black hole solutions is discussed.
|
1505.01754
|
Basem Mahmoud El-Menoufi
|
Basem Kamal El-Menoufi and G. A. White
|
The axial anomaly, dimensional regularization and Lorentz-violating QED
|
18 pages, 3 figures; References added, Minor change in the abstract,
Improved introduction to better highlight the main results
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to treat loops in the Lorentz-violating QED model, we present a
derivation of the QED axial anomaly that specifically highlights the infrared
origin of the effect. This is done using dimensional regularization while
treating $\gamma_5$ as a spectator. This enables us to revisit aspects in the
fermionic sector of Lorentz-violating QED which have analogous structure to the
axial anomaly. In particular, it is shown that both the Chern-Simons and photon
mass operators are not induced in the one loop effective action. At lowest
order in the Lorentz-violating parameter, we can define a non-relativistic
potential that captures the effects of vacuum polarization. This leads to a
Zeeman-like effect in vacuum which lifts the two-fold degeneracy of the
hydrogen atom S-orbitals.
|
[
{
"created": "Thu, 7 May 2015 15:51:34 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 2015 21:00:04 GMT",
"version": "v2"
}
] |
2015-12-10
|
[
[
"El-Menoufi",
"Basem Kamal",
""
],
[
"White",
"G. A.",
""
]
] |
In order to treat loops in the Lorentz-violating QED model, we present a derivation of the QED axial anomaly that specifically highlights the infrared origin of the effect. This is done using dimensional regularization while treating $\gamma_5$ as a spectator. This enables us to revisit aspects in the fermionic sector of Lorentz-violating QED which have analogous structure to the axial anomaly. In particular, it is shown that both the Chern-Simons and photon mass operators are not induced in the one loop effective action. At lowest order in the Lorentz-violating parameter, we can define a non-relativistic potential that captures the effects of vacuum polarization. This leads to a Zeeman-like effect in vacuum which lifts the two-fold degeneracy of the hydrogen atom S-orbitals.
|
1311.0755
|
Tom Banks
|
T. Banks
|
Lectures on Holographic Space Time
|
LaTex2e. 32 pages
| null | null |
RUNHETC-2013-1/SCIPP 13/10
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Summary of three talks on the Holographic Space Time models of early universe
cosmology, particle physics, and the asymptotically de Sitter final state of
our universe.
|
[
{
"created": "Mon, 4 Nov 2013 16:26:03 GMT",
"version": "v1"
}
] |
2013-11-05
|
[
[
"Banks",
"T.",
""
]
] |
Summary of three talks on the Holographic Space Time models of early universe cosmology, particle physics, and the asymptotically de Sitter final state of our universe.
|
1905.06925
|
Nikita G. Misuna
|
Nikita Misuna
|
On unfolded off-shell formulation for higher-spin theory
|
11 pages. V3: evaluation of two-point functions detailed, typos
corrected, reference added. To appear in Physics Letters B
|
Phys.Lett.B 798 (2019) 134956
|
10.1016/j.physletb.2019.134956
|
FIAN/TD/2019-6
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an unfolded off-shell formulation for free massless higher-spin
fields in 4d Minkowski space in terms of spinorial variables. This system
arises from the on-shell one by the addition of external higher-spin currents,
for which we find an unfolded description. Also we show that this off-shell
system can be interpreted as Schwinger-Dyson equations and restore two-point
functions of higher-spin fields this way.
|
[
{
"created": "Thu, 16 May 2019 17:39:30 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2019 14:13:28 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Sep 2019 16:15:49 GMT",
"version": "v3"
}
] |
2021-12-21
|
[
[
"Misuna",
"Nikita",
""
]
] |
We present an unfolded off-shell formulation for free massless higher-spin fields in 4d Minkowski space in terms of spinorial variables. This system arises from the on-shell one by the addition of external higher-spin currents, for which we find an unfolded description. Also we show that this off-shell system can be interpreted as Schwinger-Dyson equations and restore two-point functions of higher-spin fields this way.
|
2212.09514
|
Arsen Melikyan
|
A. Melikyan
|
On extension of the Yang-Baxter equation and the fermionic $R$-operator
|
19 pages, version accepted by Nucl. Phys. B; this article supersedes
the original work arXiv:1912.10786
| null |
10.1016/j.nuclphysb.2022.116062
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the fermionic $R$-operator based on Bazhanov-Stroganov's
three-parameter elliptic parametrization of the free fermion model, and find
the most general solution of the related tetrahedral Zamolodchikov algebra in
the trigonometric limit for an arbitrary set of parameters. This allows to
construct an extension of the $R$-operator and the corresponding Yang-Baxter
equation, which are of the difference type in one of the spectral parameters.
|
[
{
"created": "Mon, 19 Dec 2022 14:51:27 GMT",
"version": "v1"
}
] |
2023-01-11
|
[
[
"Melikyan",
"A.",
""
]
] |
We consider the fermionic $R$-operator based on Bazhanov-Stroganov's three-parameter elliptic parametrization of the free fermion model, and find the most general solution of the related tetrahedral Zamolodchikov algebra in the trigonometric limit for an arbitrary set of parameters. This allows to construct an extension of the $R$-operator and the corresponding Yang-Baxter equation, which are of the difference type in one of the spectral parameters.
|
hep-th/9810067
|
Luiz Agostinho Ferreira
|
Luiz A. Ferreira and Erica E. Leite
|
Integrable theories in any dimension and homogenous spaces
|
LaTeX, 35 pages
|
Nucl.Phys. B547 (1999) 471-500
|
10.1016/S0550-3213(99)00090-5
|
IFT-P/067/98
|
hep-th math-ph math.MP nlin.SI solv-int
| null |
We construct local zero curvature representations for non-linear sigma models
on homogeneous spaces, defined on a space-time of any dimension, following a
recently proposed approach to integrable theories in dimensions higher than
two. We present some sufficient conditions for the existence of integrable
submodels possessing an infinite number of local conservation laws. Examples
involving symmetric spaces and group manifolds are given. The $CP^N$ models are
discussed in detail.
|
[
{
"created": "Fri, 9 Oct 1998 21:51:44 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ferreira",
"Luiz A.",
""
],
[
"Leite",
"Erica E.",
""
]
] |
We construct local zero curvature representations for non-linear sigma models on homogeneous spaces, defined on a space-time of any dimension, following a recently proposed approach to integrable theories in dimensions higher than two. We present some sufficient conditions for the existence of integrable submodels possessing an infinite number of local conservation laws. Examples involving symmetric spaces and group manifolds are given. The $CP^N$ models are discussed in detail.
|
1811.11525
|
Bayram Tekin
|
Emel Altas and Bayram Tekin
|
New approach to conserved charges of generic gravity in AdS
|
10 pages, matches the published version
|
Phys. Rev. D 99, 044016 (2019)
|
10.1103/PhysRevD.99.044016
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from a divergence-free rank-4 tensor of which the trace is the
cosmological Einstein tensor, we give a construction of conserved charges in
Einstein's gravity and its higher derivative extensions for asymptotically
anti-de Sitter spacetimes. The current yielding the charge is explicitly
gauge-invariant, and the charge expression involves the linearized Riemann
tensor at the boundary. Hence, to compute the mass and angular momenta in these
spacetimes, one just needs to compute the linearized Riemann tensor. We give
two examples.
|
[
{
"created": "Wed, 28 Nov 2018 12:47:26 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2019 11:01:03 GMT",
"version": "v2"
}
] |
2019-02-19
|
[
[
"Altas",
"Emel",
""
],
[
"Tekin",
"Bayram",
""
]
] |
Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter spacetimes. The current yielding the charge is explicitly gauge-invariant, and the charge expression involves the linearized Riemann tensor at the boundary. Hence, to compute the mass and angular momenta in these spacetimes, one just needs to compute the linearized Riemann tensor. We give two examples.
|
1509.01256
|
Alexandre Belin
|
Alexandre Belin, Christoph A. Keller, Alexander Maloney
|
Permutation Orbifolds in the large N Limit
|
31 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The space of permutation orbifolds is a simple landscape of two dimensional
CFTs, generalizing the well-known symmetric orbifolds. We consider constraints
which a permutation orbifold with large central charge must obey in order to be
holographically dual to a weakly coupled (but possibly stringy) theory of
gravity in AdS. We then construct explicit examples of permutation orbifolds
which obey these constraints. In our constructions the spectrum remains finite
at large N, but differs qualitatively from that of symmetric orbifolds. We also
discuss under what conditions the correlation functions factorize at large N
and thus reduce to those of a generalized free field in AdS. We show that this
happens not just for symmetric orbifolds, but also for permutation groups which
act "democratically" in a sense which we define.
|
[
{
"created": "Thu, 3 Sep 2015 20:04:38 GMT",
"version": "v1"
}
] |
2015-09-07
|
[
[
"Belin",
"Alexandre",
""
],
[
"Keller",
"Christoph A.",
""
],
[
"Maloney",
"Alexander",
""
]
] |
The space of permutation orbifolds is a simple landscape of two dimensional CFTs, generalizing the well-known symmetric orbifolds. We consider constraints which a permutation orbifold with large central charge must obey in order to be holographically dual to a weakly coupled (but possibly stringy) theory of gravity in AdS. We then construct explicit examples of permutation orbifolds which obey these constraints. In our constructions the spectrum remains finite at large N, but differs qualitatively from that of symmetric orbifolds. We also discuss under what conditions the correlation functions factorize at large N and thus reduce to those of a generalized free field in AdS. We show that this happens not just for symmetric orbifolds, but also for permutation groups which act "democratically" in a sense which we define.
|
1106.0335
|
Albert Schwarz
|
M.V. Movshev, A. Schwarz, Renjun Xu
|
Homology of Lie algebra of supersymmetries and of super Poincare Lie
algebra
|
New version with some additions and corrections
| null |
10.1016/j.nuclphysb.2011.08.023
| null |
hep-th math-ph math.MP math.RA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the homology and cohomology groups of super Lie algebra of
supersymmetries and of super Poincare Lie algebra in various dimensions. We
give complete answers for (non-extended) supersymmetry in all dimensions $\leq
11$. For dimensions $D=10,11$ we describe also the cohomology of reduction of
supersymmetry Lie algebra to lower dimensions. Our methods can be applied to
extended supersymmetry algebra.
|
[
{
"created": "Wed, 1 Jun 2011 23:09:13 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jul 2011 08:48:00 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Aug 2011 00:06:30 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"Movshev",
"M. V.",
""
],
[
"Schwarz",
"A.",
""
],
[
"Xu",
"Renjun",
""
]
] |
We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions $\leq 11$. For dimensions $D=10,11$ we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry algebra.
|
hep-th/9211138
|
Jean-Bernard Zuber
|
P. Di Francesco and J.-B. Zuber
|
Fusion potentials I
|
17 pages, Saclay preprint SPhT 92/138
|
J.Phys. A26 (1993) 1441-1454
|
10.1088/0305-4470/26/6/025
| null |
hep-th
| null |
We reconsider the conjecture by Gepner that the fusion ring of a rational
conformal field theory is isomorphic to a ring of polynomials in $n$ variables
quotiented by an ideal of constraints that derive from a potential. We show
that in a variety of cases, this is indeed true with {\it one-variable}
polynomials.
|
[
{
"created": "Mon, 30 Nov 1992 15:16:33 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Di Francesco",
"P.",
""
],
[
"Zuber",
"J. -B.",
""
]
] |
We reconsider the conjecture by Gepner that the fusion ring of a rational conformal field theory is isomorphic to a ring of polynomials in $n$ variables quotiented by an ideal of constraints that derive from a potential. We show that in a variety of cases, this is indeed true with {\it one-variable} polynomials.
|
1012.3142
|
P. S. Howe
|
G. Bossard, P.S. Howe, U. Lindstrom, K.S. Stelle and L. Wulff
|
Integral invariants in maximally supersymmetric Yang-Mills theories
|
20 pages, 1 table
| null |
10.1007/JHEP05(2011)021
|
AEI-2010-142, KCL-MTH-10-09, UUITP-27/10, Imperial/TP/10/KSS/03,
MIFPA-10-53
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Integral invariants in maximally supersymmetric Yang-Mills theories are
discussed in spacetime dimensions $4\leq D\leq 10$ for $SU(k)$ gauge groups. It
is shown that, in addition to the action, there are three special invariants in
all dimensions. Two of these, the single- and double-trace $F^4$ invariants,
are of Chern-Simons type in $D=9,10$ and BPS type in $D\leq 8$, while the
third, the double-trace of two derivatives acting on $F^4$, can be expressed in
terms of a gauge-invariant super-$D$-form in all dimensions. We show that the
super-ten-forms for $D=10$ $F^4$ invariants have interesting cohomological
properties and we also discuss some features of other invariants, including the
single-trace $d^2 F^4$, which has a special form in $D=10$. The implications of
these results for ultra-violet divergences are discussed in the framework of
algebraic renormalisation.
|
[
{
"created": "Tue, 14 Dec 2010 19:27:30 GMT",
"version": "v1"
}
] |
2015-05-20
|
[
[
"Bossard",
"G.",
""
],
[
"Howe",
"P. S.",
""
],
[
"Lindstrom",
"U.",
""
],
[
"Stelle",
"K. S.",
""
],
[
"Wulff",
"L.",
""
]
] |
Integral invariants in maximally supersymmetric Yang-Mills theories are discussed in spacetime dimensions $4\leq D\leq 10$ for $SU(k)$ gauge groups. It is shown that, in addition to the action, there are three special invariants in all dimensions. Two of these, the single- and double-trace $F^4$ invariants, are of Chern-Simons type in $D=9,10$ and BPS type in $D\leq 8$, while the third, the double-trace of two derivatives acting on $F^4$, can be expressed in terms of a gauge-invariant super-$D$-form in all dimensions. We show that the super-ten-forms for $D=10$ $F^4$ invariants have interesting cohomological properties and we also discuss some features of other invariants, including the single-trace $d^2 F^4$, which has a special form in $D=10$. The implications of these results for ultra-violet divergences are discussed in the framework of algebraic renormalisation.
|
2405.12227
|
Hebin Zheng
|
Hebin Zheng, Yunxian Chen, Jian Tang
|
Holographic thermodynamics of a charged AdS black holes with global
monopole
|
18 pages,30 figures,2 forms. arXiv admin note: text overlap with
arXiv:2112.14848 by other authors
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By regarding the Newton constant {G}N and cosmological constant {\Lambda} as
variables, we in this paper study the thermodynamics and phase transition of
Reissner-Nordstrom anti-de Sitter (RN-AdS) black hole with global monopole in
the framework of AdS/CFT correspondence. It is found that there are interesting
critical phenomena and phase behaviors in the (grand) canonical ensembles of
fixed (Q, V, C), ({\Phi}, V, C) and (Q, V, {\mu}). When the other parameters
are fixed, the free energy increases with the global monopole increases. In (Q,
V, C) ensemble, the range of unstable region increases with the increase of
global monopole. In ({\Phi}, V, C) ensemble, when {\Phi} < {\Phi}c, the free
energy appears two branches, the upper and lower branches correspond to low
entropy and high entropy respectively. When (Q, V, {\mu}) is fixed, a new
zero-order phase transition occurs in the high-entropy phase and the
low-entropy phase at certain {\mu}-dependent temperatures. When {\mu} increases
to a certain value, this zero-order phase transition disappears. This certain
value is positively related to the magnitude of the global monopole. Finally,
we find that p-V criticality does not appear with the change of global
monopole. Therefore, it is important to note that the CFT states of charged
black holes with global monopole do not correspond to Van der Waals fluids.
Finally, we find that charged black holes with global monopoles can better
reflect thermodynamic phase transitions and critical phenomena under the
AdS/CFT correspondence. By adjusting the change of the global monopole, the
thermodynamic phase transition will also change.
|
[
{
"created": "Sun, 28 Apr 2024 08:40:08 GMT",
"version": "v1"
}
] |
2024-05-22
|
[
[
"Zheng",
"Hebin",
""
],
[
"Chen",
"Yunxian",
""
],
[
"Tang",
"Jian",
""
]
] |
By regarding the Newton constant {G}N and cosmological constant {\Lambda} as variables, we in this paper study the thermodynamics and phase transition of Reissner-Nordstrom anti-de Sitter (RN-AdS) black hole with global monopole in the framework of AdS/CFT correspondence. It is found that there are interesting critical phenomena and phase behaviors in the (grand) canonical ensembles of fixed (Q, V, C), ({\Phi}, V, C) and (Q, V, {\mu}). When the other parameters are fixed, the free energy increases with the global monopole increases. In (Q, V, C) ensemble, the range of unstable region increases with the increase of global monopole. In ({\Phi}, V, C) ensemble, when {\Phi} < {\Phi}c, the free energy appears two branches, the upper and lower branches correspond to low entropy and high entropy respectively. When (Q, V, {\mu}) is fixed, a new zero-order phase transition occurs in the high-entropy phase and the low-entropy phase at certain {\mu}-dependent temperatures. When {\mu} increases to a certain value, this zero-order phase transition disappears. This certain value is positively related to the magnitude of the global monopole. Finally, we find that p-V criticality does not appear with the change of global monopole. Therefore, it is important to note that the CFT states of charged black holes with global monopole do not correspond to Van der Waals fluids. Finally, we find that charged black holes with global monopoles can better reflect thermodynamic phase transitions and critical phenomena under the AdS/CFT correspondence. By adjusting the change of the global monopole, the thermodynamic phase transition will also change.
|
hep-th/9306120
|
Manuel Barriola
|
Manuel Barriola, Tanmay Vachaspati and Martin Bucher
|
Embedded Defects
|
tex, 28 pages
|
Phys.Rev.D50:2819-2825,1994
|
10.1103/PhysRevD.50.2819
| null |
hep-th
| null |
We give a prescription for embedding classical solutions and, in particular,
topological defects in field theories which are invariant under symmetry groups
that are not necessarily simple. After providing examples of embedded defects
in field theories based on simple groups, we consider the electroweak model and
show that it contains the $Z$ string and a one parameter family of strings
called the $W(\alpha )$ string. It is argued that, although the members of this
family are gauge equivalent when considered in isolation, each member should be
considered distinct when multi-string solutions are considered. We then turn to
the issue of stability of embedded defects and demonstrate the instability of a
large class of such solutions in the absence of bound states or condensates.
The $Z$ string is shown to be unstable when the Weinberg angle ($\theta_w$) is
$\pi /4$ for all values of the Higgs mass. The $W$ strings are also shown to be
unstable for a large range of parameters. Embedded monopoles suffer from the
Brandt-Neri-Coleman instability. A simple physical understanding of this
instability is provided in terms of the phenomenon of W-condensation. Finally,
we connect the electroweak string solutions to the sphaleron: ``twisted'' loops
of W string and finite segments of W and Z strings collapse into the sphaleron
configuration, at least, for small values of $\theta_w$.
|
[
{
"created": "Tue, 22 Jun 1993 22:14:10 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Barriola",
"Manuel",
""
],
[
"Vachaspati",
"Tanmay",
""
],
[
"Bucher",
"Martin",
""
]
] |
We give a prescription for embedding classical solutions and, in particular, topological defects in field theories which are invariant under symmetry groups that are not necessarily simple. After providing examples of embedded defects in field theories based on simple groups, we consider the electroweak model and show that it contains the $Z$ string and a one parameter family of strings called the $W(\alpha )$ string. It is argued that, although the members of this family are gauge equivalent when considered in isolation, each member should be considered distinct when multi-string solutions are considered. We then turn to the issue of stability of embedded defects and demonstrate the instability of a large class of such solutions in the absence of bound states or condensates. The $Z$ string is shown to be unstable when the Weinberg angle ($\theta_w$) is $\pi /4$ for all values of the Higgs mass. The $W$ strings are also shown to be unstable for a large range of parameters. Embedded monopoles suffer from the Brandt-Neri-Coleman instability. A simple physical understanding of this instability is provided in terms of the phenomenon of W-condensation. Finally, we connect the electroweak string solutions to the sphaleron: ``twisted'' loops of W string and finite segments of W and Z strings collapse into the sphaleron configuration, at least, for small values of $\theta_w$.
|
hep-th/9906160
|
Roberto Emparan
|
Roberto Emparan
|
Black diholes
|
13 pages, 1 figure. V2: analysis improved, now allow for cosmic
strings. In particular, we show the Bonnor solution to be a dihole held by
strings. Refs added. V3: added comments on relation to earlier work, minor
improvements otherwise. Final version, to appear in PRD
|
Phys.Rev. D61 (2000) 104009
|
10.1103/PhysRevD.61.104009
|
DTP 99-47, EHU-FT/9911
|
hep-th gr-qc
| null |
We present and analyze exact solutions of the Einstein-Maxwell and
Einstein-Maxwell-Dilaton equations that describe static pairs of oppositely
charged extremal black holes, i.e., black diholes. The holes are suspended in
equilibrium in an external magnetic field, or held apart by cosmic strings. We
comment as well on the relation of these solutions to brane-antibrane
configurations in string and M-theory.
|
[
{
"created": "Mon, 21 Jun 1999 14:30:02 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Aug 1999 14:47:35 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Mar 2000 09:54:06 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Emparan",
"Roberto",
""
]
] |
We present and analyze exact solutions of the Einstein-Maxwell and Einstein-Maxwell-Dilaton equations that describe static pairs of oppositely charged extremal black holes, i.e., black diholes. The holes are suspended in equilibrium in an external magnetic field, or held apart by cosmic strings. We comment as well on the relation of these solutions to brane-antibrane configurations in string and M-theory.
|
hep-th/0509013
|
Craig Helfgott
|
C. Helfgott, Y. Oz and Y. Yanay
|
On the Topology of Black Hole Event Horizons in Higher Dimensions
|
12 pages, minor edits 27/09/05
|
JHEP 0602:025,2006
|
10.1088/1126-6708/2006/02/025
| null |
hep-th gr-qc
| null |
In four dimensions the topology of the event horizon of an asymptotically
flat stationary black hole is uniquely determined to be the two-sphere $S^2$.
We consider the topology of event horizons in higher dimensions. First, we
reconsider Hawking's theorem and show that the integrated Ricci scalar
curvature with respect to the induced metric on the event horizon is positive
also in higher dimensions. Using this and Thurston's geometric types
classification of three-manifolds, we find that the only possible geometric
types of event horizons in five dimensions are $S^3$ and $S^2 \times S^1$. In
six dimensions we use the requirement that the horizon is cobordant to a
four-sphere (topological censorship), Friedman's classification of topological
four-manifolds and Donaldson's results on smooth four-manifolds, and show that
simply connected event horizons are homeomorphic to $S^4$ or $S^2\times S^2$.
We find allowed non-simply connected event horizons $S^3\times S^1$ and
$S^2\times \Sigma_g$, and event horizons with finite non-abelian first homotopy
group, whose universal cover is $S^4$. Finally, following Smale's results we
discuss the classification in dimensions higher than six.
|
[
{
"created": "Thu, 1 Sep 2005 15:38:40 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2005 08:13:31 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Helfgott",
"C.",
""
],
[
"Oz",
"Y.",
""
],
[
"Yanay",
"Y.",
""
]
] |
In four dimensions the topology of the event horizon of an asymptotically flat stationary black hole is uniquely determined to be the two-sphere $S^2$. We consider the topology of event horizons in higher dimensions. First, we reconsider Hawking's theorem and show that the integrated Ricci scalar curvature with respect to the induced metric on the event horizon is positive also in higher dimensions. Using this and Thurston's geometric types classification of three-manifolds, we find that the only possible geometric types of event horizons in five dimensions are $S^3$ and $S^2 \times S^1$. In six dimensions we use the requirement that the horizon is cobordant to a four-sphere (topological censorship), Friedman's classification of topological four-manifolds and Donaldson's results on smooth four-manifolds, and show that simply connected event horizons are homeomorphic to $S^4$ or $S^2\times S^2$. We find allowed non-simply connected event horizons $S^3\times S^1$ and $S^2\times \Sigma_g$, and event horizons with finite non-abelian first homotopy group, whose universal cover is $S^4$. Finally, following Smale's results we discuss the classification in dimensions higher than six.
|
hep-th/9501054
|
Paula Bozzay
|
B. L. Hu and K. Shiokawa
|
Environment-Induced Effects on Quantum Chaos: Decoherence,
Delocalization and Irreversibility
|
9 pages documentalstyle
| null | null |
IASSNS-HEP/95/3
|
hep-th chao-dyn nlin.CD
| null |
Decoherence in quantum systems which are classically chaotic is studied. It
is well-known that a classically chaotic system when quantized loses many
prominent chaotic traits. We show that interaction of the quantum system with
an environment can under general circumstances quickly diminish quantum
coherence and reenact some characteristic classical chaotic behavior. We use
the Feynman-Vernon influence functional formalism to study the effect of an
ohmic environment at high temperature on two classically-chaotic systems: The
linear Arnold cat map (QCM) and the nonlinear quantum kicked rotor (QKR).
Features of quantum chaos such as recurrence in QCM and diffusion suppression
leading to localization in QKR are destroyed in a short time due to
environment-induced decoherence. Decoherence also undermines localization and
induces an apparent transition from reversible to irreversible dynamics in
quantum chaotic systems.
|
[
{
"created": "Fri, 13 Jan 1995 21:11:21 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Hu",
"B. L.",
""
],
[
"Shiokawa",
"K.",
""
]
] |
Decoherence in quantum systems which are classically chaotic is studied. It is well-known that a classically chaotic system when quantized loses many prominent chaotic traits. We show that interaction of the quantum system with an environment can under general circumstances quickly diminish quantum coherence and reenact some characteristic classical chaotic behavior. We use the Feynman-Vernon influence functional formalism to study the effect of an ohmic environment at high temperature on two classically-chaotic systems: The linear Arnold cat map (QCM) and the nonlinear quantum kicked rotor (QKR). Features of quantum chaos such as recurrence in QCM and diffusion suppression leading to localization in QKR are destroyed in a short time due to environment-induced decoherence. Decoherence also undermines localization and induces an apparent transition from reversible to irreversible dynamics in quantum chaotic systems.
|
hep-th/9501093
|
Klaus Kirsten
|
K. Kirsten and D.J. Toms
|
Bose-Einstein condensation for interacting scalar fields in curved
spacetime
|
28 pages, LaTex
|
Phys.Rev. D51 (1995) 6886-6900
|
10.1103/PhysRevD.51.6886
|
UB-ECM-PF 94/37
|
hep-th
| null |
We consider the model of self-interacting complex scalar fields with a rigid
gauge invariance under an arbitrary gauge group $G$. In order to analyze the
phenomenon of Bose-Einstein condensation finite temperature and the possibility
of a finite background charge is included. Different approaches to derive the
relevant high-temperature behaviour of the theory are presented.
|
[
{
"created": "Fri, 20 Jan 1995 14:31:08 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Kirsten",
"K.",
""
],
[
"Toms",
"D. J.",
""
]
] |
We consider the model of self-interacting complex scalar fields with a rigid gauge invariance under an arbitrary gauge group $G$. In order to analyze the phenomenon of Bose-Einstein condensation finite temperature and the possibility of a finite background charge is included. Different approaches to derive the relevant high-temperature behaviour of the theory are presented.
|
hep-th/9508160
|
Maraner
|
P. Maraner
|
Adiabatic Motion of a Quantum Particle in a Two-Dimensional Magnetic
Field
|
17 pages, LaTex
|
J.Phys.A29:2199-2210,1996
|
10.1088/0305-4470/29/9/030
|
UPRF-95-434
|
hep-th quant-ph
| null |
The adiabatic motion of a charged, spinning, quantum particle in a two -
dimensional magnetic field is studied. A suitable set of operators generalizing
the cinematical momenta and the guiding center operators of a particle moving
in a homogeneous magnetic field is constructed. This allows us to separate the
two degrees of freedom of the system into a {\sl fast} and a {\sl slow} one, in
the classical limit, the rapid rotation of the particle around the guiding
center and the slow guiding center drift. In terms of these operators the
Hamiltonian of the system rewrites as a power series in the magnetic length
$\lb=\sqrt{\hbar c\over eB}$ and the fast and slow dynamics separates. The
effective guiding center Hamiltonian is obtained to the second order in the
adiabatic parameter $\lb$ and reproduces correctly the classical limit.
|
[
{
"created": "Tue, 29 Aug 1995 14:50:34 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Maraner",
"P.",
""
]
] |
The adiabatic motion of a charged, spinning, quantum particle in a two - dimensional magnetic field is studied. A suitable set of operators generalizing the cinematical momenta and the guiding center operators of a particle moving in a homogeneous magnetic field is constructed. This allows us to separate the two degrees of freedom of the system into a {\sl fast} and a {\sl slow} one, in the classical limit, the rapid rotation of the particle around the guiding center and the slow guiding center drift. In terms of these operators the Hamiltonian of the system rewrites as a power series in the magnetic length $\lb=\sqrt{\hbar c\over eB}$ and the fast and slow dynamics separates. The effective guiding center Hamiltonian is obtained to the second order in the adiabatic parameter $\lb$ and reproduces correctly the classical limit.
|
0907.0803
|
Jin-Ho Cho
|
Jin-Ho Cho, Sunyoung Shin
|
Oblique DLCQ M-theory and Multiple M2-branes
|
v3: 25pages, extended version, References added
|
JHEP 0911:121,2009
|
10.1088/1126-6708/2009/11/121
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an oblique DLCQ as a limit to realize a theory of multiple
M2-branes in M(atrix)-theory context. The limit is a combination of an infinite
boosting of a space-like circle and a tuned tilting of the circle direction. We
obtain a series of supergravity solutions describing various dual
configurations including multiple M2-branes. For an infinite boosting along a
circle wrapped obliquely around a rectangular torus, Seiberg's DLCQ limit
distorts the torus modulus. In the context of supergravity, we show explicitly
how this torus modulus of $\widetilde{\text M}$-theory is realized as the
vacuum modulus of dual IIB-theory.
|
[
{
"created": "Sat, 4 Jul 2009 22:44:30 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jul 2009 15:32:22 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2009 08:18:35 GMT",
"version": "v3"
}
] |
2009-12-04
|
[
[
"Cho",
"Jin-Ho",
""
],
[
"Shin",
"Sunyoung",
""
]
] |
We propose an oblique DLCQ as a limit to realize a theory of multiple M2-branes in M(atrix)-theory context. The limit is a combination of an infinite boosting of a space-like circle and a tuned tilting of the circle direction. We obtain a series of supergravity solutions describing various dual configurations including multiple M2-branes. For an infinite boosting along a circle wrapped obliquely around a rectangular torus, Seiberg's DLCQ limit distorts the torus modulus. In the context of supergravity, we show explicitly how this torus modulus of $\widetilde{\text M}$-theory is realized as the vacuum modulus of dual IIB-theory.
|
1912.09456
|
Michikazu Kobayashi
|
Michikazu Kobayashi and Muneto Nitta
|
$\mathbb{Z}_n$ modified XY and Goldstone models and vortex confinement
transition
|
11 pages, 4 figures
|
Phys. Rev. D 101, 085003 (2020)
|
10.1103/PhysRevD.101.085003
| null |
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The modified XY model is a modification of the XY model by addition of a
half-periodic term. The modified Goldstone model is a regular and continuum
version of the modified XY model. The former admits a vortex molecule, that is,
two half-quantized vortices connected by a domain wall, as a regular
topological soliton solution to the equation of motion while the latter admits
it as a singular configuration. Here we define the ${\mathbb Z}_n$ modified XY
and Goldstone models as the $n=2$ case to be the modified XY and Goldstone
models, respectively. We exhaust all stable and metastalble vortex solutions
for $n=2,3$ and find a vortex confinement transition from an integer vortex to
a vortex molecule of $n$ $1/n$-quantized vortices, depending on the ratio
between the term of the XY model and the modified term. We find for the case of
$n=3$, a rod-shaped molecule is the most stable while a Y-shaped molecule is
metastable. We also construct some solutions for the case of $n=4$.The vortex
confinement transition can be understood in terms of the ${\mathbb C}/{\mathbb
Z}_n$ orbifold geometry.
|
[
{
"created": "Thu, 19 Dec 2019 18:43:22 GMT",
"version": "v1"
}
] |
2020-04-15
|
[
[
"Kobayashi",
"Michikazu",
""
],
[
"Nitta",
"Muneto",
""
]
] |
The modified XY model is a modification of the XY model by addition of a half-periodic term. The modified Goldstone model is a regular and continuum version of the modified XY model. The former admits a vortex molecule, that is, two half-quantized vortices connected by a domain wall, as a regular topological soliton solution to the equation of motion while the latter admits it as a singular configuration. Here we define the ${\mathbb Z}_n$ modified XY and Goldstone models as the $n=2$ case to be the modified XY and Goldstone models, respectively. We exhaust all stable and metastalble vortex solutions for $n=2,3$ and find a vortex confinement transition from an integer vortex to a vortex molecule of $n$ $1/n$-quantized vortices, depending on the ratio between the term of the XY model and the modified term. We find for the case of $n=3$, a rod-shaped molecule is the most stable while a Y-shaped molecule is metastable. We also construct some solutions for the case of $n=4$.The vortex confinement transition can be understood in terms of the ${\mathbb C}/{\mathbb Z}_n$ orbifold geometry.
|
1207.1726
|
Matthias Kaminski
|
Martin Ammon, Matthias Kaminski, Andreas Karch
|
Hyperscaling-Violation on Probe D-Branes
|
v1: 22 pages, 1 figure; v2: 23 pages, references added, extended
introduction
| null |
10.1007/JHEP11(2012)028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the field theories dual to D3/D7- and D3/D5-brane systems we find
non-relativistic finite density fixed points exhibiting a violation of
hyperscaling. This violation is measured by the critical exponent $\theta=1$
while the dynamical critical exponent is $z=2$. At zero temperature we compute
the thermodynamic potentials, the speed of normal sound, and the speed of zero
sound for both these massive D3/D(2n+1)-brane systems near their
non-relativistic fixed points. Moreover, we determine the first correction to
the free energy for small temperatures yielding the critical exponents $\alpha$
and $\nu$.
|
[
{
"created": "Fri, 6 Jul 2012 20:00:47 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Oct 2012 02:55:20 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Ammon",
"Martin",
""
],
[
"Kaminski",
"Matthias",
""
],
[
"Karch",
"Andreas",
""
]
] |
For the field theories dual to D3/D7- and D3/D5-brane systems we find non-relativistic finite density fixed points exhibiting a violation of hyperscaling. This violation is measured by the critical exponent $\theta=1$ while the dynamical critical exponent is $z=2$. At zero temperature we compute the thermodynamic potentials, the speed of normal sound, and the speed of zero sound for both these massive D3/D(2n+1)-brane systems near their non-relativistic fixed points. Moreover, we determine the first correction to the free energy for small temperatures yielding the critical exponents $\alpha$ and $\nu$.
|
1401.7101
|
Nicola Maggiore
|
Andrea Amoretti, Alessandro Braggio, Giacomo Caruso, Nicola Maggiore,
Nicodemo Magnoli
|
Holography in flat spacetime: 4D theories and electromagnetic duality on
the border
|
21 pages, plain LaTeX, no figures. Version to appear on JHEP
|
JHEP 1404 (2014) 142
|
10.1007/JHEP04(2014)142
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a free topological model in 5D euclidean flat spacetime, built
from two rank-2 tensor fields. Despite the fact that the bulk of the model does
not have any particular physical interpretation, on its 4D planar edge
nontrivial gauge field theories are recovered, whose features are entirely
determined by the gauge and discrete symmetries of the bulk. In particular no
4D dynamics can be obtained without imposing a Time Reversal invariance in the
bulk. Remarkably, one of the two possible edge models selected by the Time
Reversal symmetries displays a true electromagnetic duality, which relates
strong and weak coupling regimes. Moreover this same model, when considered
on-shell, coincides with the Maxwell theory, which therefore can be thought of
as a 4D boundary theory of a seemingly harmless 5D topological model.
|
[
{
"created": "Tue, 28 Jan 2014 07:18:57 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Mar 2014 07:43:47 GMT",
"version": "v2"
}
] |
2014-05-06
|
[
[
"Amoretti",
"Andrea",
""
],
[
"Braggio",
"Alessandro",
""
],
[
"Caruso",
"Giacomo",
""
],
[
"Maggiore",
"Nicola",
""
],
[
"Magnoli",
"Nicodemo",
""
]
] |
We consider a free topological model in 5D euclidean flat spacetime, built from two rank-2 tensor fields. Despite the fact that the bulk of the model does not have any particular physical interpretation, on its 4D planar edge nontrivial gauge field theories are recovered, whose features are entirely determined by the gauge and discrete symmetries of the bulk. In particular no 4D dynamics can be obtained without imposing a Time Reversal invariance in the bulk. Remarkably, one of the two possible edge models selected by the Time Reversal symmetries displays a true electromagnetic duality, which relates strong and weak coupling regimes. Moreover this same model, when considered on-shell, coincides with the Maxwell theory, which therefore can be thought of as a 4D boundary theory of a seemingly harmless 5D topological model.
|
hep-th/0110064
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri and Sergei D. Odintsov
|
De Sitter space versus Nariai Black Hole: stability in d5 higher
derivative gravity
|
LaTeX file, 11 pages
|
Phys.Lett.B523:165-170,2001
|
10.1016/S0370-2693(01)01314-4
| null |
hep-th
| null |
d5 higher derivative gravity on the Schwarzschild-de Sitter (SdS) black hole
background is considered. Two horizons SdS BHs are not in thermal equilibrium
and Hawking-Page phase transitions are not expected there, unlike to the case
of AdS BHs. It is demonstrated that there exists the regime of d5 theory where
Nariai BH which is extremal limit of SdS BH is stable. It is in the contrast
with Einstein gravity on such backgroundwhere only pure de Sitter space is
always stable. Speculating on the applications in proposed dS/CFT
correspondence, these two (de Sitter and Nariai) stable spaces may correspond
to confining-deconfining phases in dual CFT.
|
[
{
"created": "Mon, 8 Oct 2001 00:51:45 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
d5 higher derivative gravity on the Schwarzschild-de Sitter (SdS) black hole background is considered. Two horizons SdS BHs are not in thermal equilibrium and Hawking-Page phase transitions are not expected there, unlike to the case of AdS BHs. It is demonstrated that there exists the regime of d5 theory where Nariai BH which is extremal limit of SdS BH is stable. It is in the contrast with Einstein gravity on such backgroundwhere only pure de Sitter space is always stable. Speculating on the applications in proposed dS/CFT correspondence, these two (de Sitter and Nariai) stable spaces may correspond to confining-deconfining phases in dual CFT.
|
hep-th/0206075
|
Paolo Valtancoli
|
Paolo Valtancoli
|
Stability of the fuzzy sphere solution from matrix model
|
19 pages, LaTeX, no figures
|
Int.J.Mod.Phys. A18 (2003) 967
|
10.1142/S0217751X03014058
| null |
hep-th
| null |
We consider a matrix model depending on a parameter $\lambda$ which permits
the fuzzy sphere as a classical background.By expanding the bosonic matrices
around this background ones recovers a U(1) (U(n)) noncommutative gauge theory
on the fuzzy sphere. To check classical stability of this background, we look
for new classical solutions of this model and find them for $\lambda < 1$, that
make the fuzzy sphere solution unstable for $\lambda < \half$ and stable
otherwise. \\
|
[
{
"created": "Mon, 10 Jun 2002 08:13:56 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Valtancoli",
"Paolo",
""
]
] |
We consider a matrix model depending on a parameter $\lambda$ which permits the fuzzy sphere as a classical background.By expanding the bosonic matrices around this background ones recovers a U(1) (U(n)) noncommutative gauge theory on the fuzzy sphere. To check classical stability of this background, we look for new classical solutions of this model and find them for $\lambda < 1$, that make the fuzzy sphere solution unstable for $\lambda < \half$ and stable otherwise. \\
|
1807.07917
|
Brianna Grado-White
|
Zicao Fu, Brianna Grado-White, and Donald Marolf
|
A perturbative perspective on self-supporting wormholes
|
Minor corrections (including fixing a factor of 2 in several
formulas/plots)
|
Class. Quantum Grav. 36 (2019) 045006
|
10.1088/1361-6382/aafcea
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a class of wormholes that generically become traversable after
incorporating gravitational back-reaction from linear quantum fields satisfying
appropriate (periodic or anti-periodic) boundary conditions around a
non-contractible cycle, but with natural boundary conditions at infinity (i.e.,
without additional boundary interactions). The class includes both
asymptotically flat and asymptotically AdS examples. Simple asymptotically
AdS$_3$ or asymptotically AdS$_3 \times S^1$ examples with a single periodic
scalar field are then studied in detail. When the examples admit a smooth
extremal limit, our perturbative analysis indicates the back-reacted wormhole
remains traversable at later and later times as this limit is approached. This
suggests that a fully non-perturbative treatment would find a self-supporting
eternal traversable wormhole. While the general case remains to be analyzed in
detail, the likely relation of the above effect to other known instabilities of
extreme black holes may make the construction of eternal traversable wormholes
more straightforward than previously expected.
|
[
{
"created": "Fri, 20 Jul 2018 16:14:24 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Aug 2018 00:01:16 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Aug 2019 16:47:02 GMT",
"version": "v3"
}
] |
2019-08-12
|
[
[
"Fu",
"Zicao",
""
],
[
"Grado-White",
"Brianna",
""
],
[
"Marolf",
"Donald",
""
]
] |
We describe a class of wormholes that generically become traversable after incorporating gravitational back-reaction from linear quantum fields satisfying appropriate (periodic or anti-periodic) boundary conditions around a non-contractible cycle, but with natural boundary conditions at infinity (i.e., without additional boundary interactions). The class includes both asymptotically flat and asymptotically AdS examples. Simple asymptotically AdS$_3$ or asymptotically AdS$_3 \times S^1$ examples with a single periodic scalar field are then studied in detail. When the examples admit a smooth extremal limit, our perturbative analysis indicates the back-reacted wormhole remains traversable at later and later times as this limit is approached. This suggests that a fully non-perturbative treatment would find a self-supporting eternal traversable wormhole. While the general case remains to be analyzed in detail, the likely relation of the above effect to other known instabilities of extreme black holes may make the construction of eternal traversable wormholes more straightforward than previously expected.
|
1503.04439
|
Hajar Ebrahim
|
M. Ali-Akbari, F. Charmchi, A. Davody, H. Ebrahim, L. Shahkarami
|
Time-Dependent Meson Melting in External Magnetic Field
|
8 pages, 4 figures, 2 tables
|
Phys. Rev. D 91, 106008 (2015)
|
10.1103/PhysRevD.91.106008
|
IPM/P-2014/057
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dynamics of a probe D7-brane in an asymptotically AdS-Vaidya background
has been investigated in the presence of an external magnetic field.
Holographically, this is dual to the dynamical meson melting in the N = 2 super
Yang-Milles theory. If the final temperature of the system is large enough, the
probe D7-brane will dynamically cross the horizon (black hole embedding). By
turning on the external magnetic field and raising it sufficiently, the final
embedding of the corresponding D7-brane changes to Minkowski embedding. In the
field theory side, this means that the mesons which melt due to the raise in
the temperature, will form bound states again by applying an external magnetic
field. We will also show that the evolution of the system to its final
equilibrium state is postponed due to the presence of the magnetic field.
|
[
{
"created": "Sun, 15 Mar 2015 16:00:25 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jul 2016 14:19:46 GMT",
"version": "v2"
}
] |
2016-07-05
|
[
[
"Ali-Akbari",
"M.",
""
],
[
"Charmchi",
"F.",
""
],
[
"Davody",
"A.",
""
],
[
"Ebrahim",
"H.",
""
],
[
"Shahkarami",
"L.",
""
]
] |
The dynamics of a probe D7-brane in an asymptotically AdS-Vaidya background has been investigated in the presence of an external magnetic field. Holographically, this is dual to the dynamical meson melting in the N = 2 super Yang-Milles theory. If the final temperature of the system is large enough, the probe D7-brane will dynamically cross the horizon (black hole embedding). By turning on the external magnetic field and raising it sufficiently, the final embedding of the corresponding D7-brane changes to Minkowski embedding. In the field theory side, this means that the mesons which melt due to the raise in the temperature, will form bound states again by applying an external magnetic field. We will also show that the evolution of the system to its final equilibrium state is postponed due to the presence of the magnetic field.
|
1703.05780
|
Ruslan Metsaev
|
R.R. Metsaev
|
Fermionic continuous spin gauge field in (A)dS space
|
13 pages, v2: Footnotes 1,5,6 and reference added. Alternative form
of formulas (3.37),(3.38) is given
| null |
10.1016/j.physletb.2017.08.020
|
FIAN-TD-2017-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Fermionic continuous spin field propagating in (A)dS space-time is studied.
Gauge invariant Lagrangian formulation for such fermionic field is developed.
Lagrangian of the fermionic continuous spin field is constructed in terms of
triple gamma-traceless tensor-spinor Dirac fields, while gauge symmetries are
realized by using gamma-traceless gauge transformation parameters. It is
demonstrated that partition function of fermionic continuous spin field is
equal to one. Modified de Donder gauge condition that considerably simplifies
analysis of equations of motion is found. Decoupling limits leading to
arbitrary spin massless, partial-massless, and massive fermionic fields are
studied.
|
[
{
"created": "Thu, 16 Mar 2017 18:09:46 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Oct 2017 16:33:16 GMT",
"version": "v2"
}
] |
2017-10-06
|
[
[
"Metsaev",
"R. R.",
""
]
] |
Fermionic continuous spin field propagating in (A)dS space-time is studied. Gauge invariant Lagrangian formulation for such fermionic field is developed. Lagrangian of the fermionic continuous spin field is constructed in terms of triple gamma-traceless tensor-spinor Dirac fields, while gauge symmetries are realized by using gamma-traceless gauge transformation parameters. It is demonstrated that partition function of fermionic continuous spin field is equal to one. Modified de Donder gauge condition that considerably simplifies analysis of equations of motion is found. Decoupling limits leading to arbitrary spin massless, partial-massless, and massive fermionic fields are studied.
|
1706.02657
|
Herbert Weigel
|
H. Weigel
|
Emerging Translational Variance: Vacuum Polarization Energy of the
$\mathbf{\phi^6}$ kink
|
13 pages, changes made to match journal version (including title)
|
Adv. High Energy Phys., (2017) 1486912
|
10.1155/2017/1486912
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an efficient method to compute the vacuum polarization energy of
static field configurations that do not allow a decomposition into symmetric
and anti-symmetric channels in one space dimension. In particular we compute
the vacuum polarization energy of the kink soliton in the $\phi^6$ model. We
link the dependence of this energy on the position of the center of the soliton
to the different masses of the quantum fluctuations at negative and positive
spatial infinity.
|
[
{
"created": "Thu, 8 Jun 2017 15:55:42 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2017 09:49:57 GMT",
"version": "v2"
}
] |
2017-08-03
|
[
[
"Weigel",
"H.",
""
]
] |
We propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti-symmetric channels in one space dimension. In particular we compute the vacuum polarization energy of the kink soliton in the $\phi^6$ model. We link the dependence of this energy on the position of the center of the soliton to the different masses of the quantum fluctuations at negative and positive spatial infinity.
|
hep-th/9307195
| null |
D. Sorokin and M. Tonin
|
On the Chiral Fermions in the Twistor--Like Formulation of D=10
Heterotic String
|
10 pages, LaTeX, DFPD/93/TH/52
|
Phys.Lett.B326:84-88,1994
|
10.1016/0370-2693(94)91196-7
| null |
hep-th
| null |
An n=8 worldsheet superfield action is proposed for describing chiral
fermions in the twistor-like formulation of an N=1, D=10 heterotic superstring.
|
[
{
"created": "Sat, 31 Jul 1993 10:49:36 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Sorokin",
"D.",
""
],
[
"Tonin",
"M.",
""
]
] |
An n=8 worldsheet superfield action is proposed for describing chiral fermions in the twistor-like formulation of an N=1, D=10 heterotic superstring.
|
0712.4119
|
Alan Kostelecky
|
Robert Bluhm, Shu-Hong Fung, and Alan Kostelecky
|
Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and
Gravity
|
27 pages two-column REVTeX, accepted in Physical Review D
|
Phys.Rev.D77:065020,2008
|
10.1103/PhysRevD.77.065020
|
IUHET 509, December 2007
|
hep-th astro-ph gr-qc hep-ph
| null |
Theories with spontaneous local Lorentz and diffeomorphism violation contain
massless Nambu-Goldstone modes, which arise as field excitations in the minimum
of the symmetry-breaking potential. If the shape of the potential also allows
excitations above the minimum, then an alternative gravitational Higgs
mechanism can occur in which massive modes involving the metric appear. The
origin and basic properties of the massive modes are addressed in the general
context involving an arbitrary tensor vacuum value. Special attention is given
to the case of bumblebee models, which are gravitationally coupled vector
theories with spontaneous local Lorentz and diffeomorphism violation. Mode
expansions are presented in both local and spacetime frames, revealing the
Nambu-Goldstone and massive modes via decomposition of the metric and bumblebee
fields, and the associated symmetry properties and gauge fixing are discussed.
The class of bumblebee models with kinetic terms of the Maxwell form is used as
a focus for more detailed study. The nature of the associated conservation laws
and the interpretation as a candidate alternative to Einstein-Maxwell theory
are investigated. Explicit examples involving smooth and Lagrange-multiplier
potentials are studied to illustrate features of the massive modes, including
their origin, nature, dispersion laws, and effects on gravitational
interactions. In the weak static limit, the massive mode and
Lagrange-multiplier fields are found to modify the Newton and Coulomb
potentials. The nature and implications of these modifications are examined.
|
[
{
"created": "Wed, 26 Dec 2007 10:29:41 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2008 16:00:48 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bluhm",
"Robert",
""
],
[
"Fung",
"Shu-Hong",
""
],
[
"Kostelecky",
"Alan",
""
]
] |
Theories with spontaneous local Lorentz and diffeomorphism violation contain massless Nambu-Goldstone modes, which arise as field excitations in the minimum of the symmetry-breaking potential. If the shape of the potential also allows excitations above the minimum, then an alternative gravitational Higgs mechanism can occur in which massive modes involving the metric appear. The origin and basic properties of the massive modes are addressed in the general context involving an arbitrary tensor vacuum value. Special attention is given to the case of bumblebee models, which are gravitationally coupled vector theories with spontaneous local Lorentz and diffeomorphism violation. Mode expansions are presented in both local and spacetime frames, revealing the Nambu-Goldstone and massive modes via decomposition of the metric and bumblebee fields, and the associated symmetry properties and gauge fixing are discussed. The class of bumblebee models with kinetic terms of the Maxwell form is used as a focus for more detailed study. The nature of the associated conservation laws and the interpretation as a candidate alternative to Einstein-Maxwell theory are investigated. Explicit examples involving smooth and Lagrange-multiplier potentials are studied to illustrate features of the massive modes, including their origin, nature, dispersion laws, and effects on gravitational interactions. In the weak static limit, the massive mode and Lagrange-multiplier fields are found to modify the Newton and Coulomb potentials. The nature and implications of these modifications are examined.
|
hep-th/9607157
| null |
Shibaji Roy
|
An Orbifold and an Orientifold of Type IIB Theory on K3 $\times$ K3
|
15 pages, latex, no figures, some statements regarding the twisted
sector states have been corrected, M-theory duals have been indicated, some
references added
|
Phys.Lett. B388 (1996) 727-735
|
10.1016/S0370-2693(96)01207-5
|
US-FT-35/96
|
hep-th
| null |
We consider the compactification of type IIB superstring theory on K3
$\times$ K3. We obtain the massless spectrum of the resulting two dimensional
theory and show that the model is free of gravitational anomaly. We then
consider an orbifold and an orientifold projection of the above model and find
that their spectrum match identically and are anomaly-free as well. This gives
a dual pair of type IIB theory in two dimensions and can be understood as a
consequence of SL(2, Z) symmetry of the ten dimensional theory. We also point
out the M-theory duals of the type IIB compactifications considered here.
|
[
{
"created": "Thu, 18 Jul 1996 07:26:40 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 1996 10:38:41 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Roy",
"Shibaji",
""
]
] |
We consider the compactification of type IIB superstring theory on K3 $\times$ K3. We obtain the massless spectrum of the resulting two dimensional theory and show that the model is free of gravitational anomaly. We then consider an orbifold and an orientifold projection of the above model and find that their spectrum match identically and are anomaly-free as well. This gives a dual pair of type IIB theory in two dimensions and can be understood as a consequence of SL(2, Z) symmetry of the ten dimensional theory. We also point out the M-theory duals of the type IIB compactifications considered here.
|
1111.5113
|
Karl-Georg Schlesinger
|
Karl-Georg Schlesinger
|
Eight dimensional physics and the Langlands program - A short note
|
7 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that a special step in the chain of dualities used in [Tan 2008]
implicitly suggests to view Langlands duality as being fundamentally rooted in
an eight-dimensional theory on the F-theory 7- brane. We give further arguments
why such an eight-dimensional per- spective might be of interest.
|
[
{
"created": "Tue, 22 Nov 2011 06:46:59 GMT",
"version": "v1"
}
] |
2011-11-23
|
[
[
"Schlesinger",
"Karl-Georg",
""
]
] |
We argue that a special step in the chain of dualities used in [Tan 2008] implicitly suggests to view Langlands duality as being fundamentally rooted in an eight-dimensional theory on the F-theory 7- brane. We give further arguments why such an eight-dimensional per- spective might be of interest.
|
0809.1160
|
Pavel Mnev
|
Pavel Mnev
|
Discrete BF theory
|
204 pages
| null | null | null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we discuss the simplicial program for topological field theories
for the case of non-abelian BF theory. Discrete BF theory with
finite-dimensional space of fields is constructed for a triangulated manifold
(or for a manifold equipped with cubical cell decomposition), that is in a
sense equivalent to the topological BF theory on manifold. This discrete
version allows one to calculate interesting quantities from the BF theory, like
the effective action on cohomology, in terms of finite-dimensional integrals
instead of functional integrals, as demonstrated in a series of explicit
examples. We also discuss the interpretation of discrete BF action as the
generating function for $qL_\infty$ structure (certain "one-loop version" of
ordinary $L_\infty$ algebra) on the cell cochains of triangulation, related to
the de Rham algebra of the underlying manifold by homotopy transfer procedure.
This work is a refinement of older text hep-th/0610326.
|
[
{
"created": "Sat, 6 Sep 2008 14:27:50 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2008 13:31:37 GMT",
"version": "v2"
}
] |
2008-09-09
|
[
[
"Mnev",
"Pavel",
""
]
] |
In this work we discuss the simplicial program for topological field theories for the case of non-abelian BF theory. Discrete BF theory with finite-dimensional space of fields is constructed for a triangulated manifold (or for a manifold equipped with cubical cell decomposition), that is in a sense equivalent to the topological BF theory on manifold. This discrete version allows one to calculate interesting quantities from the BF theory, like the effective action on cohomology, in terms of finite-dimensional integrals instead of functional integrals, as demonstrated in a series of explicit examples. We also discuss the interpretation of discrete BF action as the generating function for $qL_\infty$ structure (certain "one-loop version" of ordinary $L_\infty$ algebra) on the cell cochains of triangulation, related to the de Rham algebra of the underlying manifold by homotopy transfer procedure. This work is a refinement of older text hep-th/0610326.
|
1201.1807
|
Daniele Binosi
|
D. Binosi and A. Quadri
|
Canonical Transformations and Renormalization Group Invariance in the
presence of Non-trivial Backgrounds
|
24 pages, 1 figure
| null |
10.1103/PhysRevD.85.085020
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that for a SU(N) Yang-Mills theory the classical background-quantum
splitting is non-trivially deformed at the quantum level by a canonical
transformation with respect to the Batalin-Vilkovisky bracket associated with
the Slavnov-Taylor identity of the theory. This canonical transformation acts
on all the fields (including the ghosts) and antifields; it uniquely fixes the
dependence on the background field of all the one-particle irreducible Green's
functions of the theory at hand. The approach is valid both at the perturbative
and non-perturbative level, being based solely on symmetry requirements. As a
practical application, we derive the renormalization group equation in the
presence of a generic background and apply it in the case of a SU(2) instanton.
Finally, we explicitly calculate the one-loop deformation of the
background-quantum splitting in lowest order in the instanton background.
|
[
{
"created": "Mon, 9 Jan 2012 15:52:17 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Binosi",
"D.",
""
],
[
"Quadri",
"A.",
""
]
] |
We show that for a SU(N) Yang-Mills theory the classical background-quantum splitting is non-trivially deformed at the quantum level by a canonical transformation with respect to the Batalin-Vilkovisky bracket associated with the Slavnov-Taylor identity of the theory. This canonical transformation acts on all the fields (including the ghosts) and antifields; it uniquely fixes the dependence on the background field of all the one-particle irreducible Green's functions of the theory at hand. The approach is valid both at the perturbative and non-perturbative level, being based solely on symmetry requirements. As a practical application, we derive the renormalization group equation in the presence of a generic background and apply it in the case of a SU(2) instanton. Finally, we explicitly calculate the one-loop deformation of the background-quantum splitting in lowest order in the instanton background.
|
1011.5482
|
Pasquale Calabrese
|
Pasquale Calabrese, John Cardy, and Erik Tonni
|
Entanglement entropy of two disjoint intervals in conformal field theory
II
|
31 pages, 4 figures
|
J.Stat.Mech.1101:P01021,2011
|
10.1088/1742-5468/2011/01/P01021
|
NSF-KITP-10-152, MIT-CTP 4194
|
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the study of the entanglement entropy of two disjoint intervals
in conformal field theories that we started in J. Stat. Mech. (2009) P11001. We
compute Tr\rho_A^n for any integer n for the Ising universality class and the
final result is expressed as a sum of Riemann-Siegel theta functions. These
predictions are checked against existing numerical data. We provide a
systematic method that gives the full asymptotic expansion of the scaling
function for small four-point ratio (i.e. short intervals). These formulas are
compared with the direct expansion of the full results for free compactified
boson and Ising model. We finally provide the analytic continuation of the
first term in this expansion in a completely analytic form.
|
[
{
"created": "Wed, 24 Nov 2010 20:08:33 GMT",
"version": "v1"
}
] |
2011-07-21
|
[
[
"Calabrese",
"Pasquale",
""
],
[
"Cardy",
"John",
""
],
[
"Tonni",
"Erik",
""
]
] |
We continue the study of the entanglement entropy of two disjoint intervals in conformal field theories that we started in J. Stat. Mech. (2009) P11001. We compute Tr\rho_A^n for any integer n for the Ising universality class and the final result is expressed as a sum of Riemann-Siegel theta functions. These predictions are checked against existing numerical data. We provide a systematic method that gives the full asymptotic expansion of the scaling function for small four-point ratio (i.e. short intervals). These formulas are compared with the direct expansion of the full results for free compactified boson and Ising model. We finally provide the analytic continuation of the first term in this expansion in a completely analytic form.
|
hep-th/9911156
|
Andre Lukas
|
Andre Lukas and K.S. Stelle
|
Heterotic Anomaly Cancellation in Five Dimensions
|
46 pages, Latex
|
JHEP 0001 (2000) 010
|
10.1088/1126-6708/2000/01/010
|
OUTP-99-49P
|
hep-th
| null |
We study the constraints on five-dimensional N=1 heterotic M-theory imposed
by a consistent anomaly-free coupling of bulk and boundary theory. This
requires analyzing the cancellation of triangle gauge anomalies on the
four-dimensional orbifold planes due to anomaly inflow from the bulk. We find
that the semi-simple part of the orbifold gauge groups and certain U(1)
symmetries have to be free of quantum anomalies. In addition there can be
several anomalous U(1) symmetries on each orbifold plane whose anomalies are
cancelled by a non-trivial variation of the bulk vector fields. The mixed U(1)
non-abelian anomaly is universal and there is at most one U(1) symmetry with
such an anomaly on each plane. In an alternative approach, we also analyze the
coupling of five-dimensional gauged supergravity to orbifold gauge theories. We
find a somewhat generalized structure of anomaly cancellation in this case
which allows, for example, non-universal mixed U(1) gauge anomalies. Anomaly
cancellation from the perspective of four-dimensional N=1 effective actions
obtained from E_8xE_8 heterotic string- or M-theory by reduction on a
Calabi-Yau three-fold is studied as well. The results are consistent with the
ones found for five-dimensional heterotic M-theory. Finally, we consider some
related issues of phenomenological interest such as model building with
anomalous U(1) symmetries, Fayet-Illiopoulos terms and threshold corrections to
gauge kinetic functions.
|
[
{
"created": "Fri, 19 Nov 1999 17:43:09 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 1999 14:58:10 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Lukas",
"Andre",
""
],
[
"Stelle",
"K. S.",
""
]
] |
We study the constraints on five-dimensional N=1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional orbifold planes due to anomaly inflow from the bulk. We find that the semi-simple part of the orbifold gauge groups and certain U(1) symmetries have to be free of quantum anomalies. In addition there can be several anomalous U(1) symmetries on each orbifold plane whose anomalies are cancelled by a non-trivial variation of the bulk vector fields. The mixed U(1) non-abelian anomaly is universal and there is at most one U(1) symmetry with such an anomaly on each plane. In an alternative approach, we also analyze the coupling of five-dimensional gauged supergravity to orbifold gauge theories. We find a somewhat generalized structure of anomaly cancellation in this case which allows, for example, non-universal mixed U(1) gauge anomalies. Anomaly cancellation from the perspective of four-dimensional N=1 effective actions obtained from E_8xE_8 heterotic string- or M-theory by reduction on a Calabi-Yau three-fold is studied as well. The results are consistent with the ones found for five-dimensional heterotic M-theory. Finally, we consider some related issues of phenomenological interest such as model building with anomalous U(1) symmetries, Fayet-Illiopoulos terms and threshold corrections to gauge kinetic functions.
|
hep-th/0203004
|
Steven B. Giddings
|
Steven B. Giddings
|
High energy QCD scattering, the shape of gravity on an IR brane, and the
Froissart bound
|
27 pages, 1 fig, harvmac. v2: references added, typos corrected v3:
typo corrected
|
Phys.Rev.D67:126001,2003
|
10.1103/PhysRevD.67.126001
|
SU-ITP-02/09
|
hep-th gr-qc hep-ph
| null |
High-energy scattering in non-conformal gauge theories is investigated using
the AdS/CFT dual string/gravity theory. It is argued that strong-gravity
processes, such as black hole formation, play an important role in the dual
dynamics. Further information about this dynamics is found by performing a
linearized analysis of gravity for a mass near an infrared brane; this gives
the far field approximation to black hole or other strong-gravity effects, and
in particular allows us to estimate their shape. From this shape, one can infer
a total scattering cross-section that grows with center of mass energy as ln^2
E, saturating the Froissart bound.
|
[
{
"created": "Fri, 1 Mar 2002 20:05:43 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Mar 2002 20:08:43 GMT",
"version": "v2"
},
{
"created": "Tue, 13 May 2003 00:38:29 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Giddings",
"Steven B.",
""
]
] |
High-energy scattering in non-conformal gauge theories is investigated using the AdS/CFT dual string/gravity theory. It is argued that strong-gravity processes, such as black hole formation, play an important role in the dual dynamics. Further information about this dynamics is found by performing a linearized analysis of gravity for a mass near an infrared brane; this gives the far field approximation to black hole or other strong-gravity effects, and in particular allows us to estimate their shape. From this shape, one can infer a total scattering cross-section that grows with center of mass energy as ln^2 E, saturating the Froissart bound.
|
hep-th/0509021
|
Anatoly Konechny
|
Anatoly Konechny
|
Noncommutative tori, Yang-Mills and string theory
|
11 pages, Latex; to appear in Encyclopedia of Mathematical Physics to
be published by Elsevier in 2006, referencing follows the guidelines of the
publisher
| null | null | null |
hep-th
| null |
Noncommutative tori are among historically the oldest and by now the most
developed examples of noncommutative spaces. Noncommutative Yang-Mills theory
can be obtained from string theory. This connection led to a
cross-fertilization of research in physics and mathematics on Yang-Mills theory
on noncommutative tori. One important result stemming from that work is the
link between T-duality in string theory and Morita equivalence of associative
algebras. In this article we give an overview of the basic results in
differential geometry of noncommutative tori. Yang-Mills theory on
noncommutative tori, the duality induced by Morita equivalence and its link
with the T-duality are discussed. Noncommutative Nahm transform for instantons
is introduced.
|
[
{
"created": "Fri, 2 Sep 2005 15:12:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Konechny",
"Anatoly",
""
]
] |
Noncommutative tori are among historically the oldest and by now the most developed examples of noncommutative spaces. Noncommutative Yang-Mills theory can be obtained from string theory. This connection led to a cross-fertilization of research in physics and mathematics on Yang-Mills theory on noncommutative tori. One important result stemming from that work is the link between T-duality in string theory and Morita equivalence of associative algebras. In this article we give an overview of the basic results in differential geometry of noncommutative tori. Yang-Mills theory on noncommutative tori, the duality induced by Morita equivalence and its link with the T-duality are discussed. Noncommutative Nahm transform for instantons is introduced.
|
hep-th/0307193
|
Tetsuji Kimura
|
Tetsuji Kimura (KEK and Osaka Univ.) and Kentaroh Yoshida (KEK)
|
Spectrum of Eleven-dimensional Supergravity on a PP-wave Background
|
17 pages, no figures, LaTeX2e, typos corrected
|
Phys.Rev.D68:125007,2003
|
10.1103/PhysRevD.68.125007
|
KEK-TH-903, OU-HET 453
|
hep-th
| null |
We calculate the spectrum of the linearized supergravity around the maximally
supersymmetric pp-wave background in eleven dimensions. The resulting spectrum
agrees with that of zero-mode Hamiltonian of a supermembrane theory on the
pp-wave background. We also discuss the connection with the Kaluza-Klein zero
modes of AdS_4 x S^7 background.
|
[
{
"created": "Mon, 21 Jul 2003 14:48:02 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Sep 2003 05:29:47 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kimura",
"Tetsuji",
"",
"KEK and Osaka Univ."
],
[
"Yoshida",
"Kentaroh",
"",
"KEK"
]
] |
We calculate the spectrum of the linearized supergravity around the maximally supersymmetric pp-wave background in eleven dimensions. The resulting spectrum agrees with that of zero-mode Hamiltonian of a supermembrane theory on the pp-wave background. We also discuss the connection with the Kaluza-Klein zero modes of AdS_4 x S^7 background.
|
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