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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0405238
|
Dionisio Bazeia
|
C.A. Almeida, D. Bazeia, L. Losano, J.M.C. Malbouisson
|
New results for deformed defects
|
RevTex4, 5 pages, 3 eps figures
|
Phys.Rev.D69:067702,2004
|
10.1103/PhysRevD.69.067702
| null |
hep-th hep-ph nlin.PS
| null |
We extend a deformation prescription recently introduced and present some new
soluble nonlinear problems for kinks and lumps. In particular, we show how to
generate models which present the basic ingredients needed to give rise to
dimension bubbles. Also, we show how to deform models which possess lumplike
solutions, to get to new models that support kinklike solutions.
|
[
{
"created": "Wed, 26 May 2004 14:31:08 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Almeida",
"C. A.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Malbouisson",
"J. M. C.",
""
]
] |
We extend a deformation prescription recently introduced and present some new soluble nonlinear problems for kinks and lumps. In particular, we show how to generate models which present the basic ingredients needed to give rise to dimension bubbles. Also, we show how to deform models which possess lumplike solutions, to get to new models that support kinklike solutions.
|
hep-th/9811015
|
Michael Bordag
|
M. Bordag, K. Kirsten, D. Vassilevich
|
On the ground state energy for a penetrable sphere and for a dielectric
ball
|
18 pages, 1 figure, subm. to Phys. Rev. D
|
Phys.Rev.D59:085011,1999
|
10.1103/PhysRevD.59.085011
| null |
hep-th
| null |
We analyse the ultraviolet divergencies in the ground state energy for a
penetrable sphere and a dielectric ball. We argue that for massless fields
subtraction of the ``empty space'' or the ``unbounded medium'' contribution is
not enough to make the ground state energy finite whenever the heat kernel
coefficient $a_2$ is not zero. It turns out that $a_2\ne 0$ for a penetrable
sphere, a general dielectric background and the dielectric ball. To our
surprise, for more singular configurations, as in the presence of sharp
boundaries, the heat kernel coefficients behave to some extend better than in
the corresponding smooth cases, making, for instance, the dilute dielectric
ball a well defined problem.
|
[
{
"created": "Mon, 2 Nov 1998 16:30:14 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bordag",
"M.",
""
],
[
"Kirsten",
"K.",
""
],
[
"Vassilevich",
"D.",
""
]
] |
We analyse the ultraviolet divergencies in the ground state energy for a penetrable sphere and a dielectric ball. We argue that for massless fields subtraction of the ``empty space'' or the ``unbounded medium'' contribution is not enough to make the ground state energy finite whenever the heat kernel coefficient $a_2$ is not zero. It turns out that $a_2\ne 0$ for a penetrable sphere, a general dielectric background and the dielectric ball. To our surprise, for more singular configurations, as in the presence of sharp boundaries, the heat kernel coefficients behave to some extend better than in the corresponding smooth cases, making, for instance, the dilute dielectric ball a well defined problem.
|
1301.7016
|
Antonio Capolupo Dr
|
Antonio Capolupo, Marco Di Mauro
|
Vacuum condensates, flavor mixing and spontaneous supersymmetry breaking
|
5 pages
|
Acta Physica Polonica B, 44, 81 (2013)
|
10.5506/APhysPolB.44.81
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spontaneous supersymmetry (SUSY) breaking is revealed in all phenomena in
which vacuum condensates are physically relevant. The dynamical breakdown of
SUSY is generated by the condensates themselves, which lift the zero point
energy. Evidence is presented in the case of the Wess-Zuimino model, and the
flavor mixing case is treated in detail.
|
[
{
"created": "Sat, 5 Jan 2013 14:06:58 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Capolupo",
"Antonio",
""
],
[
"Di Mauro",
"Marco",
""
]
] |
Spontaneous supersymmetry (SUSY) breaking is revealed in all phenomena in which vacuum condensates are physically relevant. The dynamical breakdown of SUSY is generated by the condensates themselves, which lift the zero point energy. Evidence is presented in the case of the Wess-Zuimino model, and the flavor mixing case is treated in detail.
|
hep-th/0606104
|
Kiwoon Choi
|
Kiwoon Choi
|
Dynamical gauge coupling unification from moduli stabilization
|
Latex, 14 pages
|
Phys.Lett.B642:404-410,2006
|
10.1016/j.physletb.2006.10.006
| null |
hep-th
| null |
In D-brane models, different part of the 4-dimensional gauge group might
originate from D-branes wrapping different cycles in the internal space, and
then the standard model gauge couplings at the compactification scale are
determined by different cycle-volume moduli. We point out that those
cycle-volume moduli can naturally have universal vacuum expectation values up
to small deviations suppressed by 1/8\pi^2 if they are stabilized by KKLT-type
non-perturbative superpotential. This dynamical unification of gauge couplings
is independent of the detailed form of the moduli K\"ahler potential, but
relies crucially on the existence of low energy supersymmetry. If supersymmetry
is broken by an uplifting brane as in KKLT compactification, again
independently of the detailed form of the moduli K\"ahler potential, the
moduli-mediated gaugino masses at the compactification scale are universal
also, and are comparable to the anomaly-mediated gaugino masses. As a result,
both the gauge coupling unification at high energy scale and the mirage
mediation pattern of soft supersymmetry breaking masses are achieved naturally
even when the different sets of the standard model gauge bosons originate from
D-branes wrapping different cycles in the internal space.
|
[
{
"created": "Mon, 12 Jun 2006 12:02:32 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Choi",
"Kiwoon",
""
]
] |
In D-brane models, different part of the 4-dimensional gauge group might originate from D-branes wrapping different cycles in the internal space, and then the standard model gauge couplings at the compactification scale are determined by different cycle-volume moduli. We point out that those cycle-volume moduli can naturally have universal vacuum expectation values up to small deviations suppressed by 1/8\pi^2 if they are stabilized by KKLT-type non-perturbative superpotential. This dynamical unification of gauge couplings is independent of the detailed form of the moduli K\"ahler potential, but relies crucially on the existence of low energy supersymmetry. If supersymmetry is broken by an uplifting brane as in KKLT compactification, again independently of the detailed form of the moduli K\"ahler potential, the moduli-mediated gaugino masses at the compactification scale are universal also, and are comparable to the anomaly-mediated gaugino masses. As a result, both the gauge coupling unification at high energy scale and the mirage mediation pattern of soft supersymmetry breaking masses are achieved naturally even when the different sets of the standard model gauge bosons originate from D-branes wrapping different cycles in the internal space.
|
1401.2027
|
R. Cartas-Fuentevilla
|
R. Cartas-Fuentevilla, A. Olvera-Santamaria
|
Deforming the theory lambda-phi-4 along the parameters and fields
gradient flows
| null | null |
10.1142/S0217751X15500086
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Considering the action for the theory $\lambda\phi^{4}$ for a massive scalar
bosonic field as an entropy functional on the space of coupling constants and
on the space of fields, we determine the gradient flows for the scalar field,
the mass, and the self-interaction parameter. When the flow parameter is
identified with the energy scale, we show that there exist phase transitions
between unbroken exact symmetry scenarios and spontaneous symmetry breaking
scenarios at increasingly high energies. Since a non-linear heat equation
drives the scalar field through a {\it reaction-diffusion} process, in general
the flows are not reversible, mimicking the renormalization group flows of the
$c$-theorem; the deformation of the field at increasingly high energies can be
described as non-linear traveling waves, or solitons associated to self-similar
solutions
|
[
{
"created": "Tue, 7 Jan 2014 22:59:32 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Cartas-Fuentevilla",
"R.",
""
],
[
"Olvera-Santamaria",
"A.",
""
]
] |
Considering the action for the theory $\lambda\phi^{4}$ for a massive scalar bosonic field as an entropy functional on the space of coupling constants and on the space of fields, we determine the gradient flows for the scalar field, the mass, and the self-interaction parameter. When the flow parameter is identified with the energy scale, we show that there exist phase transitions between unbroken exact symmetry scenarios and spontaneous symmetry breaking scenarios at increasingly high energies. Since a non-linear heat equation drives the scalar field through a {\it reaction-diffusion} process, in general the flows are not reversible, mimicking the renormalization group flows of the $c$-theorem; the deformation of the field at increasingly high energies can be described as non-linear traveling waves, or solitons associated to self-similar solutions
|
2105.02984
|
Saul Ramos-Sanchez
|
Hans Peter Nilles, Saul Ramos-Sanchez and Patrick K.S. Vaudrevange
|
Flavor and CP from String Theory
|
11 pages, 6 figures; conference proceedings of BSM 2021, Zewail City,
Egypt
| null | null |
TUM-HEP 1336/21
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Modular transformations of string theory are shown to play a crucial role in
the discussion of discrete flavor symmetries in the Standard Model. They
include CP transformations and provide a unification of CP with traditional
flavor symmetries within the framework of the "eclectic flavor" scheme. The
unified flavor group is non-universal in moduli space and exhibits the
phenomenon of "Local Flavor Unification", where different sectors of the theory
(like quarks and leptons) can be subject to different flavor structures.
|
[
{
"created": "Thu, 6 May 2021 21:54:57 GMT",
"version": "v1"
}
] |
2021-05-14
|
[
[
"Nilles",
"Hans Peter",
""
],
[
"Ramos-Sanchez",
"Saul",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] |
Modular transformations of string theory are shown to play a crucial role in the discussion of discrete flavor symmetries in the Standard Model. They include CP transformations and provide a unification of CP with traditional flavor symmetries within the framework of the "eclectic flavor" scheme. The unified flavor group is non-universal in moduli space and exhibits the phenomenon of "Local Flavor Unification", where different sectors of the theory (like quarks and leptons) can be subject to different flavor structures.
|
hep-th/0401175
|
Urs Schreiber
|
Urs Schreiber
|
On deformations of 2d SCFTs
|
44 pages, no figures, discussion of relation to canonical
deformations and vertex operators added, typos corrected
|
JHEP 0406:058,2004
|
10.1088/1126-6708/2004/06/058
| null |
hep-th
| null |
Motivated by the representation of the super Virasoro constraints as
generalized Dirac-K{\"a}hler constraints $(d \pm d^\dagger)|\psi> = 0$ on loop
space, examples of the most general continuous deformations $d \to e^{-W} d
e^W$ are considered which preserve the superconformal algebra at the level of
Poisson brackets. The deformations which induce the massless NS and NS-NS
backgrounds are exhibited. Hints for a manifest realization of S-duality in
terms of an algebra isomorphism are discussed. It is shown how the first order
theory of 'canonical deformations' is reproduced and how the deformation
operator $W$ encodes vertex operators and gauge transformations.
|
[
{
"created": "Fri, 23 Jan 2004 17:18:44 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Mar 2004 19:20:19 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Mar 2004 14:30:17 GMT",
"version": "v3"
},
{
"created": "Tue, 20 Jul 2004 09:55:26 GMT",
"version": "v4"
}
] |
2010-02-03
|
[
[
"Schreiber",
"Urs",
""
]
] |
Motivated by the representation of the super Virasoro constraints as generalized Dirac-K{\"a}hler constraints $(d \pm d^\dagger)|\psi> = 0$ on loop space, examples of the most general continuous deformations $d \to e^{-W} d e^W$ are considered which preserve the superconformal algebra at the level of Poisson brackets. The deformations which induce the massless NS and NS-NS backgrounds are exhibited. Hints for a manifest realization of S-duality in terms of an algebra isomorphism are discussed. It is shown how the first order theory of 'canonical deformations' is reproduced and how the deformation operator $W$ encodes vertex operators and gauge transformations.
|
2104.03992
|
C\'eline Zwikel
|
H. Adami, M.M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo, C. Zwikel
|
Chiral Massive News: Null Boundary Symmetries in Topologically Massive
Gravity
|
42 pages
| null |
10.1007/JHEP05(2021)261
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study surface charges on a generic null boundary in three dimensional
topological massive gravity (TMG). We construct the solution phase space which
involves four independent functions over the two dimensional null boundary. One
of these functions corresponds to the massive chiral propagating graviton mode
of TMG. The other three correspond to three surface charges of the theory, two
of which can always be made integrable, while the last one can become
integrable only in the absence of the chiral massive graviton flux through the
null boundary. As the null boundary symmetry algebra we obtain Heisenberg
$\oplus$ Virasoro algebra {with} a central charge proportional to the
gravitational Chern-Simons term of TMG. We also discuss that the flux of the
chiral massive gravitons appears as the (Bondi) news through the null surface.
|
[
{
"created": "Thu, 8 Apr 2021 18:02:51 GMT",
"version": "v1"
}
] |
2021-06-16
|
[
[
"Adami",
"H.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Taghiloo",
"V.",
""
],
[
"Yavartanoo",
"H.",
""
],
[
"Zwikel",
"C.",
""
]
] |
We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these functions corresponds to the massive chiral propagating graviton mode of TMG. The other three correspond to three surface charges of the theory, two of which can always be made integrable, while the last one can become integrable only in the absence of the chiral massive graviton flux through the null boundary. As the null boundary symmetry algebra we obtain Heisenberg $\oplus$ Virasoro algebra {with} a central charge proportional to the gravitational Chern-Simons term of TMG. We also discuss that the flux of the chiral massive gravitons appears as the (Bondi) news through the null surface.
|
1206.4696
|
Piero Nicolini
|
Jonas Mureika and Piero Nicolini
|
Self-completeness and spontaneous dimensional reduction
|
12 pages, 3 figures; v3: final version in press on Eur. Phys. J. Plus
|
Eur. Phys. J. Plus (2013) 128: 78
|
10.1140/epjp/i2013-13078-0
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A viable quantum theory of gravity is one of the biggest challenges facing
physicists. We discuss the confluence of two highly expected features which
might be instrumental in the quest of a finite and renormalizable quantum
gravity -- spontaneous dimensional reduction and self-completeness. The former
suggests the spacetime background at the Planck scale may be effectively
two-dimensional, while the latter implies a condition of maximal compression of
matter by the formation of an event horizon for Planckian scattering. We
generalize such a result to an arbitrary number of dimensions, and show that
gravity in higher than four dimensions remains self-complete, but in lower
dimensions it is not. In such a way we established an "exclusive disjunction"
or "exclusive or" (XOR) between the occurrence of self-completeness and
dimensional reduction, with the goal of actually reducing the unknowns for the
scenario of the physics at the Planck scale. Potential phenomenological
implications of this result are considered by studying the case of a
two-dimensional dilaton gravity model resulting from dimensional reduction of
Einstein gravity.
|
[
{
"created": "Wed, 20 Jun 2012 20:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Aug 2012 09:24:40 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Jun 2013 11:26:52 GMT",
"version": "v3"
}
] |
2013-07-23
|
[
[
"Mureika",
"Jonas",
""
],
[
"Nicolini",
"Piero",
""
]
] |
A viable quantum theory of gravity is one of the biggest challenges facing physicists. We discuss the confluence of two highly expected features which might be instrumental in the quest of a finite and renormalizable quantum gravity -- spontaneous dimensional reduction and self-completeness. The former suggests the spacetime background at the Planck scale may be effectively two-dimensional, while the latter implies a condition of maximal compression of matter by the formation of an event horizon for Planckian scattering. We generalize such a result to an arbitrary number of dimensions, and show that gravity in higher than four dimensions remains self-complete, but in lower dimensions it is not. In such a way we established an "exclusive disjunction" or "exclusive or" (XOR) between the occurrence of self-completeness and dimensional reduction, with the goal of actually reducing the unknowns for the scenario of the physics at the Planck scale. Potential phenomenological implications of this result are considered by studying the case of a two-dimensional dilaton gravity model resulting from dimensional reduction of Einstein gravity.
|
1911.05037
|
Iber\^e Kuntz
|
Iber\^e Kuntz and Roberto Casadio
|
Singularity avoidance in quantum gravity
| null | null |
10.1016/j.physletb.2020.135219
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The purpose of this work is to investigate the consequences of quantum
gravity for the singularity problem. We study the higher-derivative terms that
invariably appear in any quantum field theoretical model of gravity, handling
them both non-perturbatively and perturbatively. In the former case, by
computing the contributions of the additional degrees of freedom to a
congruence of geodesics, we show that the appearance of singularities is no
longer a necessity. In the latter, which corresponds to treating the quantised
general relativity as an effective field theory, we generalise the
Hawking-Penrose theorems to include one-loop corrections of both massless
matter and graviton fluctuations.
|
[
{
"created": "Tue, 12 Nov 2019 17:56:45 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Nov 2019 13:10:11 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jan 2020 18:02:47 GMT",
"version": "v3"
}
] |
2020-01-22
|
[
[
"Kuntz",
"Iberê",
""
],
[
"Casadio",
"Roberto",
""
]
] |
The purpose of this work is to investigate the consequences of quantum gravity for the singularity problem. We study the higher-derivative terms that invariably appear in any quantum field theoretical model of gravity, handling them both non-perturbatively and perturbatively. In the former case, by computing the contributions of the additional degrees of freedom to a congruence of geodesics, we show that the appearance of singularities is no longer a necessity. In the latter, which corresponds to treating the quantised general relativity as an effective field theory, we generalise the Hawking-Penrose theorems to include one-loop corrections of both massless matter and graviton fluctuations.
|
1011.6339
|
Dimitrios Giataganas
|
George Georgiou, Dimitrios Giataganas
|
Gluon Scattering Amplitudes in Finite Temperature Gauge/Gravity
Dualities
|
30 pages, 16 figures, minor corrections (plus improved numerical
computation for the non-commutative case)
|
JHEP 1108:045,2011
|
10.1007/JHEP08(2011)045
|
WITS-CTP-062
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the gluon scattering amplitude in N=4 super Yang-Mills at finite
temperature with nonzero R-charge densities, and in Non-Commutative gauge
theory at finite temperature. The gluon scattering amplitude is defined as a
light-like Wilson loop which lives at the horizon of the T-dual black holes of
the backgrounds we consider. We study in detail a special amplitude, which
corresponds to forward scattering of a low energy gluon off a high energy one.
For this kinematic configuration in the considered backgrounds, we find the
corresponding minimal surface which is directly related to the gluon scattering
amplitude. We find that for increasing the chemical potential or the
non-commutative parameter, the on-shell action corresponding to our Wilson loop
in the T-dual space decreases. For all of our solutions the length of the short
side of the Wilson loop is constrained by an upper bound which depends on the
temperature, the R-charge density and the non-commutative parameter. Due to
this constraint, in the limit of zeroth temperature our approach breaks down
since the upper bound goes to zero, while by keeping the temperature finite and
letting the chemical potential or the non-commutative parameter to approach to
zero the limit is smooth.
|
[
{
"created": "Mon, 29 Nov 2010 19:21:22 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2011 14:47:00 GMT",
"version": "v2"
}
] |
2011-08-17
|
[
[
"Georgiou",
"George",
""
],
[
"Giataganas",
"Dimitrios",
""
]
] |
We examine the gluon scattering amplitude in N=4 super Yang-Mills at finite temperature with nonzero R-charge densities, and in Non-Commutative gauge theory at finite temperature. The gluon scattering amplitude is defined as a light-like Wilson loop which lives at the horizon of the T-dual black holes of the backgrounds we consider. We study in detail a special amplitude, which corresponds to forward scattering of a low energy gluon off a high energy one. For this kinematic configuration in the considered backgrounds, we find the corresponding minimal surface which is directly related to the gluon scattering amplitude. We find that for increasing the chemical potential or the non-commutative parameter, the on-shell action corresponding to our Wilson loop in the T-dual space decreases. For all of our solutions the length of the short side of the Wilson loop is constrained by an upper bound which depends on the temperature, the R-charge density and the non-commutative parameter. Due to this constraint, in the limit of zeroth temperature our approach breaks down since the upper bound goes to zero, while by keeping the temperature finite and letting the chemical potential or the non-commutative parameter to approach to zero the limit is smooth.
|
2011.06605
|
Sam van Leuven
|
Kevin Goldstein, Vishnu Jejjala, Yang Lei, Sam van Leuven, Wei Li
|
Residues, modularity, and the Cardy limit of the 4d $\mathcal{N}=4$
superconformal index
|
36+11 pages, 4 figures, v2: added refs + minor clarifications and
corrections, v3: added ref, corrected comment about [6] in introduction, v4:
published version
| null |
10.1007/JHEP04(2021)216
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the superconformal index of the $\mathcal{N}=4$ $SU(N)$ Yang-Mills
theory through a residue calculation. The method is similar in spirit to the
Bethe Ansatz formalism, except that all poles are explicitly known, and we do
not require specialization of any of the chemical potentials. Our expression
for the index allows us to revisit the Cardy limit using modular properties of
four-dimensional supersymmetric partition functions. We find that all residues
contribute at leading order in the Cardy limit. In a specific region of flavour
chemical potential space, close to the two unrefined points, in fact all
residues contribute universally. These universal residues precisely agree with
the entropy functions of the asymptotically AdS$_5$ black hole and its "twin
saddle" respectively. Finally, we discuss how our formula is suited to study
the implications of four-dimensional modularity for the index beyond the Cardy
limit.
|
[
{
"created": "Thu, 12 Nov 2020 19:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 2020 12:59:23 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Mar 2021 17:04:21 GMT",
"version": "v3"
},
{
"created": "Tue, 20 Apr 2021 14:51:26 GMT",
"version": "v4"
}
] |
2021-05-05
|
[
[
"Goldstein",
"Kevin",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Lei",
"Yang",
""
],
[
"van Leuven",
"Sam",
""
],
[
"Li",
"Wei",
""
]
] |
We compute the superconformal index of the $\mathcal{N}=4$ $SU(N)$ Yang-Mills theory through a residue calculation. The method is similar in spirit to the Bethe Ansatz formalism, except that all poles are explicitly known, and we do not require specialization of any of the chemical potentials. Our expression for the index allows us to revisit the Cardy limit using modular properties of four-dimensional supersymmetric partition functions. We find that all residues contribute at leading order in the Cardy limit. In a specific region of flavour chemical potential space, close to the two unrefined points, in fact all residues contribute universally. These universal residues precisely agree with the entropy functions of the asymptotically AdS$_5$ black hole and its "twin saddle" respectively. Finally, we discuss how our formula is suited to study the implications of four-dimensional modularity for the index beyond the Cardy limit.
|
hep-th/9407120
|
Elizalde
|
E. Elizalde, S.D. Odintsov and Yu.I. Shil'nov
|
Schwinger-Dyson Equations in 2D Induced Gravity in Covariant Gauges
|
11 pages, LaTeX file, 2 figures (available upon request), 94/7/20
|
Mod.Phys.Lett.A9:2681-2690,1994
|
10.1142/S0217732394002525
| null |
hep-th
| null |
We formulate the Schwinger-Dyson equations in the ladder approximation for 2D
induced quantum gravity with fermions using covariant gauges of harmonic type.
It is shown that these equations can be formulated consistently in a gauge of
Landau type (for negative cosmological constant). A numerical analysis of the
equations hints towards the possibility of chiral symmetry breaking, depending
on the value of the coupling constant.
|
[
{
"created": "Wed, 20 Jul 1994 03:36:48 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Shil'nov",
"Yu. I.",
""
]
] |
We formulate the Schwinger-Dyson equations in the ladder approximation for 2D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these equations can be formulated consistently in a gauge of Landau type (for negative cosmological constant). A numerical analysis of the equations hints towards the possibility of chiral symmetry breaking, depending on the value of the coupling constant.
|
1312.4561
|
Francesco Bigazzi
|
Francesco Bigazzi, Aldo L. Cotrone, Luca Griguolo, Domenico Seminara
|
A novel cross-check of localization and non conformal holography
|
9 pages, latex; v2:13 pages. A Section on the fractional brane setup
has been added. Clarifications and references added; v3: published version,
references added
|
JHEP 1403 (2014) 072
|
10.1007/JHEP03(2014)072
|
IFUP-TH/2013-25
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We precisely reproduce the perimeter law obeyed by Wilson loops on large
spatial contours in planar N=2 SYM at strong coupling, as recently deduced
using localization, by means of a dual holographic model. The relevant
supergravity background is sourced by D5-branes wrapped on a two-sphere in a
Calabi-Yau two-manifold. Thus, localization and holography are cross-checked,
for the first time, in a non conformal context where the gravity background is
not asymptotically Anti de Sitter and the dual gauge theory has a
logarithmically running coupling. We also notice that the same cross-check can
be performed considering an alternative holographic description of N=2 SYM
based on a background sourced by fractional D3-branes.
|
[
{
"created": "Mon, 16 Dec 2013 21:19:36 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2014 15:38:49 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jul 2014 06:46:33 GMT",
"version": "v3"
}
] |
2014-07-18
|
[
[
"Bigazzi",
"Francesco",
""
],
[
"Cotrone",
"Aldo L.",
""
],
[
"Griguolo",
"Luca",
""
],
[
"Seminara",
"Domenico",
""
]
] |
We precisely reproduce the perimeter law obeyed by Wilson loops on large spatial contours in planar N=2 SYM at strong coupling, as recently deduced using localization, by means of a dual holographic model. The relevant supergravity background is sourced by D5-branes wrapped on a two-sphere in a Calabi-Yau two-manifold. Thus, localization and holography are cross-checked, for the first time, in a non conformal context where the gravity background is not asymptotically Anti de Sitter and the dual gauge theory has a logarithmically running coupling. We also notice that the same cross-check can be performed considering an alternative holographic description of N=2 SYM based on a background sourced by fractional D3-branes.
|
hep-th/9902104
|
Amir Masoud Ghezelbash
|
K. Kaviani, A.M. Ghezelbash
|
Quantizing field theories in noncommutative geometry and the
correspondence between anti de Sitter space and conformal field theory
|
some minor typographical errors are corrected, to appear in Phys.
Lett. B
|
Phys.Lett. B469 (1999) 81-86
|
10.1016/S0370-2693(99)01275-7
| null |
hep-th
| null |
By using the approach of non-commutative geometry, we study spinors and
scalars on the two layers AdS$_{d+1}$ space. We have found that in the boundary
of two layers AdS$_{d+1}$ space, by using the AdS/CFT correspondence, we have a
logarithmic conformal field theory. This observation propose a way to get the
quantum field theory in the context of non-commutative geometry.
|
[
{
"created": "Sun, 14 Feb 1999 14:48:57 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Nov 1999 10:09:07 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kaviani",
"K.",
""
],
[
"Ghezelbash",
"A. M.",
""
]
] |
By using the approach of non-commutative geometry, we study spinors and scalars on the two layers AdS$_{d+1}$ space. We have found that in the boundary of two layers AdS$_{d+1}$ space, by using the AdS/CFT correspondence, we have a logarithmic conformal field theory. This observation propose a way to get the quantum field theory in the context of non-commutative geometry.
|
1605.01841
|
Shogo Nishino
|
Hitoshi Fukamachi, Kei-Ichi Kondo, Shogo Nishino, and Toru Shinohara
|
Gluon bound state and asymptotic freedom derived from the
Bethe--Salpeter equation
|
Introduction has been a bit modified and Section 7 has been
completely revised. This is the version accepted for publication in PTEP
|
Prog Theor Exp Phys (2017)
|
10.1093/ptep/ptx059
|
CHIBA-EP-218-v3
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the two-body bound states for gluons and ghosts in a
massive Yang-Mills theory which is obtained by generalizing the ordinary
massless Yang-Mills theory in a manifestly Lorentz covariant gauge. First, we
give a systematic derivation of the coupled Bethe-Salpeter equations for gluons
and ghosts by using the Cornwall-Jackiw-Tomboulis effective action of the
composite operators within the framework of the path integral quantization.
Then, we obtain the numerical solutions for the Bethe-Salpeter amplitude
representing the simultaneous bound states of gluons and ghosts by solving the
homogeneous Bethe-Salpeter equation in the ladder approximation. We study how
the inclusion of ghosts affects the two-gluon bound states in the cases of the
standing and running gauge coupling constant. Moreover, we show explicitly that
the approximate solutions obtained for the gluon-gluon amplitude are consistent
with the ultraviolet asymptotic freedom signaled by the negative $\beta$
function.
|
[
{
"created": "Fri, 6 May 2016 07:03:56 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Dec 2016 12:23:39 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Apr 2017 04:45:29 GMT",
"version": "v3"
}
] |
2019-12-06
|
[
[
"Fukamachi",
"Hitoshi",
""
],
[
"Kondo",
"Kei-Ichi",
""
],
[
"Nishino",
"Shogo",
""
],
[
"Shinohara",
"Toru",
""
]
] |
In this paper we study the two-body bound states for gluons and ghosts in a massive Yang-Mills theory which is obtained by generalizing the ordinary massless Yang-Mills theory in a manifestly Lorentz covariant gauge. First, we give a systematic derivation of the coupled Bethe-Salpeter equations for gluons and ghosts by using the Cornwall-Jackiw-Tomboulis effective action of the composite operators within the framework of the path integral quantization. Then, we obtain the numerical solutions for the Bethe-Salpeter amplitude representing the simultaneous bound states of gluons and ghosts by solving the homogeneous Bethe-Salpeter equation in the ladder approximation. We study how the inclusion of ghosts affects the two-gluon bound states in the cases of the standing and running gauge coupling constant. Moreover, we show explicitly that the approximate solutions obtained for the gluon-gluon amplitude are consistent with the ultraviolet asymptotic freedom signaled by the negative $\beta$ function.
|
1401.4137
|
Jaume Garriga
|
Markus B. Fr\"ob, Jaume Garriga, Sugumi Kanno, Misao Sasaki, Jiro
Soda, Takahiro Tanaka and Alexander Vilenkin
|
Schwinger effect in de Sitter space
|
34 pages, 2 figures. Comment and references added
| null |
10.1088/1475-7516/2014/04/009
|
QGASLAB-14-01, KOBE-TH-14-01
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Schwinger pair production in 1+1 dimensional de Sitter space,
filled with a constant electric field $E$. This can be thought of as a model
for describing false vacuum decay beyond the semiclassical approximation, where
pairs of a quantum field $\phi$ of mass $m$ and charge $e$ play the role of
vacuum bubbles. We find that the adiabatic "in" vacuum associated with the flat
chart develops a space-like expectation value for the current $J$, which
manifestly breaks the de Sitter invariance of the background fields. We derive
a simple expression for $J(E)$, showing that both "upward" and "downward"
tunneling contribute to the build-up of the current. For heavy fields, with
$m^2\gg eE,H^2$, the current is exponentially suppressed, in agreement with the
results of semiclassical instanton methods. Here $H$ is the inverse de Sitter
radius. On the other hand, light fields with $ m \ll H$ lead to a phenomenon of
infrared hyperconductivity, where a very small electric field $mH \lesssim eE
\ll H^2$ leads to a very large current $J \sim H^3 /E$. We also show that all
Hadamard states for $\phi$ necessarily break de Sitter invariance. Finally, we
comment on the role of initial conditions, and "persistence of memory" effects.
|
[
{
"created": "Thu, 16 Jan 2014 19:24:13 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jan 2014 14:29:16 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Fröb",
"Markus B.",
""
],
[
"Garriga",
"Jaume",
""
],
[
"Kanno",
"Sugumi",
""
],
[
"Sasaki",
"Misao",
""
],
[
"Soda",
"Jiro",
""
],
[
"Tanaka",
"Takahiro",
""
],
[
"Vilenkin",
"Alexander",
""
]
] |
We consider Schwinger pair production in 1+1 dimensional de Sitter space, filled with a constant electric field $E$. This can be thought of as a model for describing false vacuum decay beyond the semiclassical approximation, where pairs of a quantum field $\phi$ of mass $m$ and charge $e$ play the role of vacuum bubbles. We find that the adiabatic "in" vacuum associated with the flat chart develops a space-like expectation value for the current $J$, which manifestly breaks the de Sitter invariance of the background fields. We derive a simple expression for $J(E)$, showing that both "upward" and "downward" tunneling contribute to the build-up of the current. For heavy fields, with $m^2\gg eE,H^2$, the current is exponentially suppressed, in agreement with the results of semiclassical instanton methods. Here $H$ is the inverse de Sitter radius. On the other hand, light fields with $ m \ll H$ lead to a phenomenon of infrared hyperconductivity, where a very small electric field $mH \lesssim eE \ll H^2$ leads to a very large current $J \sim H^3 /E$. We also show that all Hadamard states for $\phi$ necessarily break de Sitter invariance. Finally, we comment on the role of initial conditions, and "persistence of memory" effects.
|
hep-th/9311030
| null |
Milan Mijic
|
Green Functions and Thermal Nature of Black Holes
|
14 pages, Plain Tex
| null | null | null |
hep-th
| null |
There are several ways to establish and study thermal properties of black
holes. I review here method of Fulling and Ruijsenaars, based on the analytic
structure of Green functions on the complex plane. This method provides a clear
distinction between zero and finite temperature field theories, and allows for
quick evaluation of black hole temperature. (Lectures presented at the Danube
Workshop '93, June 1993, Belgrade, Yugoslavia.)
|
[
{
"created": "Thu, 4 Nov 1993 14:46:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mijic",
"Milan",
""
]
] |
There are several ways to establish and study thermal properties of black holes. I review here method of Fulling and Ruijsenaars, based on the analytic structure of Green functions on the complex plane. This method provides a clear distinction between zero and finite temperature field theories, and allows for quick evaluation of black hole temperature. (Lectures presented at the Danube Workshop '93, June 1993, Belgrade, Yugoslavia.)
|
1910.04222
|
Aldo Riello
|
Henrique Gomes and Aldo Riello
|
The quasilocal degrees of freedom of Yang-Mills theory
|
V4, Published version: only minor changes wrt V3, which featured
instead major improvements. 73pp + appendices + list of symbols. SciPost is a
non-profit, two-way open access publication portal featuring peer-witnessed
refereeing
|
SciPost Phys. 10, 130 (2021)
|
10.21468/SciPostPhys.10.6.130
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauge theories possess nonlocal features that, in the presence of boundaries,
inevitably lead to subtleties. We employ geometric methods rooted in the
functional geometry of the phase space of Yang-Mills theories to: (1)
characterize a basis for quasilocal degrees of freedom (dof) that is manifestly
gauge-covariant also at the boundary; (2) tame the non-additivity of the
regional symplectic forms upon the gluing of regions; and to (3) discuss gauge
and global charges in both Abelian and non-Abelian theories from a geometric
perspective. Naturally, our analysis leads to splitting the Yang-Mills dof into
Coulombic and radiative. Coulombic dof enter the Gauss constraint and are
dependent on extra boundary data (the electric flux); radiative dof are
unconstrained and independent. The inevitable non-locality of this split is
identified as the source of the symplectic non-additivity, i.e. of the
appearance of new dof upon the gluing of regions. Remarkably, these new dof are
fully determined by the regional radiative dof only. Finally, a direct link is
drawn between this split and Dirac's dressed electron.
|
[
{
"created": "Wed, 9 Oct 2019 19:52:13 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2020 14:39:19 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Feb 2021 18:00:57 GMT",
"version": "v3"
},
{
"created": "Mon, 7 Jun 2021 17:07:13 GMT",
"version": "v4"
}
] |
2021-06-11
|
[
[
"Gomes",
"Henrique",
""
],
[
"Riello",
"Aldo",
""
]
] |
Gauge theories possess nonlocal features that, in the presence of boundaries, inevitably lead to subtleties. We employ geometric methods rooted in the functional geometry of the phase space of Yang-Mills theories to: (1) characterize a basis for quasilocal degrees of freedom (dof) that is manifestly gauge-covariant also at the boundary; (2) tame the non-additivity of the regional symplectic forms upon the gluing of regions; and to (3) discuss gauge and global charges in both Abelian and non-Abelian theories from a geometric perspective. Naturally, our analysis leads to splitting the Yang-Mills dof into Coulombic and radiative. Coulombic dof enter the Gauss constraint and are dependent on extra boundary data (the electric flux); radiative dof are unconstrained and independent. The inevitable non-locality of this split is identified as the source of the symplectic non-additivity, i.e. of the appearance of new dof upon the gluing of regions. Remarkably, these new dof are fully determined by the regional radiative dof only. Finally, a direct link is drawn between this split and Dirac's dressed electron.
|
hep-th/9909140
|
Christoph Schweigert
|
G. Felder, J. Fr"ohlich, J. Fuchs, C. Schweigert
|
Conformal boundary conditions and three-dimensional topological field
theory
|
8 pages, LaTeX2e; reference added
|
Phys.Rev.Lett. 84 (2000) 1659-1662
|
10.1103/PhysRevLett.84.1659
|
ETH-TH/99-25, ESI-759
|
hep-th
| null |
We present a general construction of all correlation functions of a
two-dimensional rational conformal field theory, for an arbitrary number of
bulk and boundary fields and arbitrary topologies. The correlators are
expressed in terms of Wilson graphs in a certain three-manifold, the connecting
manifold. The amplitudes constructed this way can be shown to be modular
invariant and to obey the correct factorization rules.
|
[
{
"created": "Mon, 20 Sep 1999 19:56:02 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 1999 11:06:03 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Felder",
"G.",
""
],
[
"Fr\"ohlich",
"J.",
""
],
[
"Fuchs",
"J.",
""
],
[
"Schweigert",
"C.",
""
]
] |
We present a general construction of all correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary topologies. The correlators are expressed in terms of Wilson graphs in a certain three-manifold, the connecting manifold. The amplitudes constructed this way can be shown to be modular invariant and to obey the correct factorization rules.
|
0710.2956
|
Tatsuo Azeyanagi
|
Tatsuo Azeyanagi, Tatsuma Nishioka and Tadashi Takayanagi
|
Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
|
LaTeX, 32 pages, 7 figures; refinement in the organization
|
Phys.Rev.D77:064005,2008
|
10.1103/PhysRevD.77.064005
|
KUNS-2105
|
hep-th gr-qc
| null |
We point out that the entropy of (near) extremal black holes can be
interpreted as the entanglement entropy of dual conformal quantum mechanics via
AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and
derive this claim from AdS3/CFT2. We also analytically compute the entanglement
entropy in the two dimensional CFT of a free Dirac fermion compactified on a
circle at finite temperature. From this result, we clarify the relation between
the thermal entropy and entanglement entropy, which is essential for the
entanglement interpretation of black hole entropy.
|
[
{
"created": "Tue, 16 Oct 2007 12:21:38 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2007 15:20:33 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Oct 2007 07:10:36 GMT",
"version": "v3"
},
{
"created": "Sun, 30 Dec 2007 23:43:22 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Azeyanagi",
"Tatsuo",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac fermion compactified on a circle at finite temperature. From this result, we clarify the relation between the thermal entropy and entanglement entropy, which is essential for the entanglement interpretation of black hole entropy.
|
hep-th/0007027
|
Laurent Baulieu
|
Laurent Baulieu (Paris U. IV-VII & Chicago U.)
|
A Curious Relation Between Gravity and Yang-Mills Theories
|
11 pages, Harvmac, Talk given in the memory of E.S. Fradkin
| null | null | null |
hep-th
| null |
We find that Euclidian or Minkowski gravity in d dimensions can be formally
expressed as the restriction to a slice of a supersymmetric Yang-Mills theory
in d+1 dimensions with SO(d+1), SO(d,1) or SO(d-1,2) internal symmetry. We
suggest that renormalization effects in the bulk imply a contraction of the
latter symmetry into the Poincare group ISO(d) or ISO(d-1,1).
|
[
{
"created": "Tue, 4 Jul 2000 15:59:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Baulieu",
"Laurent",
"",
"Paris U. IV-VII & Chicago U."
]
] |
We find that Euclidian or Minkowski gravity in d dimensions can be formally expressed as the restriction to a slice of a supersymmetric Yang-Mills theory in d+1 dimensions with SO(d+1), SO(d,1) or SO(d-1,2) internal symmetry. We suggest that renormalization effects in the bulk imply a contraction of the latter symmetry into the Poincare group ISO(d) or ISO(d-1,1).
|
hep-th/0010284
|
Hiroshi Ozaki
|
Hiroshi Ozaki
|
Relativistically covariant formulation of the canonical theory of
classical fields II
|
11 pages, 1 EPS figure, uses revtex.sty
| null | null |
TOKAI-HEP/TH-0007
|
hep-th
| null |
A covariant description of the canonical theory for interacting classical
fields is developed on a space-like hypersurface. An identity invariant under
the canonical transformations is obtained. The identity follows a canonical
equation in which the interaction Hamiltonian density genarates a deformation
of the space-like hypersurface. The equation just corresponds to the
Yang-Feldman equation in the Heisenberg pictures in quantum field theory.
|
[
{
"created": "Tue, 31 Oct 2000 06:00:08 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Ozaki",
"Hiroshi",
""
]
] |
A covariant description of the canonical theory for interacting classical fields is developed on a space-like hypersurface. An identity invariant under the canonical transformations is obtained. The identity follows a canonical equation in which the interaction Hamiltonian density genarates a deformation of the space-like hypersurface. The equation just corresponds to the Yang-Feldman equation in the Heisenberg pictures in quantum field theory.
|
0711.0444
|
Johannes Gro{\ss}e
|
Johannes Gro{\ss}e
|
Quantum Field Theories Coupled to Supergravity: AdS/CFT and Local
Couplings
|
PhD thesis, LMU Munich, 120p, 44 fig., original ver. avail. from
urn:nbn:de:bvb:19-67614, i.e.
http://nbn-resolving.de/urn:nbn:de:bvb:19-67614; v2: 1 ref. corr., 5 added
|
Fortsch.Phys.56:183-301,2008
|
10.1002/prop.200710399
| null |
hep-th
| null |
This article is based on my PhD thesis and covers the following topics:
Holographic meson spectra in a dilaton flow background, the mixed Coulomb-Higgs
branch in terms of instantons on D7 branes, and a dual description of
heavy-light mesons. Moreover, in a second part the conformal anomaly of four
dimensional supersymmetric quantum field theories coupled to classical N=1
supergravity is explored in a superfield formulation. The complete basis for
the anomaly and consistency conditions, which arise from cohomological
considerations, are given. Possible implications for an extension of
Zamolodchikov's c-theorem to four dimensional supersymmetric quantum field
theories are discussed.
|
[
{
"created": "Sat, 3 Nov 2007 12:36:38 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Nov 2007 19:05:35 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Große",
"Johannes",
""
]
] |
This article is based on my PhD thesis and covers the following topics: Holographic meson spectra in a dilaton flow background, the mixed Coulomb-Higgs branch in terms of instantons on D7 branes, and a dual description of heavy-light mesons. Moreover, in a second part the conformal anomaly of four dimensional supersymmetric quantum field theories coupled to classical N=1 supergravity is explored in a superfield formulation. The complete basis for the anomaly and consistency conditions, which arise from cohomological considerations, are given. Possible implications for an extension of Zamolodchikov's c-theorem to four dimensional supersymmetric quantum field theories are discussed.
|
1210.5040
|
Sebastian Konopka
|
Sebastian J. H. Konopka
|
Non Abelian orbifold compactifications of the heterotic string
|
40 pages, based on diploma thesis; accepted for publication in JHEP
|
JHEP07(2013)023
|
10.1007/JHEP07(2013)023
|
TUM-HEP-860/12; LMU-ASC 70/12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I consider the construction of heterotic orbifold models based on a toroidal
orbifold with non Abelian point group. I construct an explicit model based on
the point group $S_3$ and calculate the spectrum and remnant symmetries. This
model provides a simple example of rank reduction of the Yang--Mills gauge
group directly in the string theory rather than in the effective field theory.
|
[
{
"created": "Thu, 18 Oct 2012 07:39:21 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Feb 2013 10:01:33 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jun 2013 12:47:53 GMT",
"version": "v3"
}
] |
2013-07-09
|
[
[
"Konopka",
"Sebastian J. H.",
""
]
] |
I consider the construction of heterotic orbifold models based on a toroidal orbifold with non Abelian point group. I construct an explicit model based on the point group $S_3$ and calculate the spectrum and remnant symmetries. This model provides a simple example of rank reduction of the Yang--Mills gauge group directly in the string theory rather than in the effective field theory.
|
1905.07146
|
Adar Sharon
|
Ofer Aharony and Adar Sharon
|
Large N Renormalization Group Flows in 3d $\mathcal{N}=1$
Chern-Simons-Matter Theories
| null | null |
10.1007/JHEP07(2019)160
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss 3d $\mathcal{N}=1$ supersymmetric SU(N) and U(N)
Chern-Simons-matter theories, with $N_f$ matter superfields in the fundamental
representation of SU(N) or U(N). In the large N 't Hooft limit with fixed 't
Hooft coupling $\lambda$ these theories have one (for $N_f=1$) or two (for $N_f
> 1$) exactly marginal deformations in the superpotential. At finite N these
couplings acquire a beta function. We compute the beta function exactly for
$\lambda=0$, at leading order in 1/N. For $N_f=1$ we find four fixed points,
one of which is triply-degenerate. We show that at large N there are at most
six fixed points for any $\lambda$, and conjecture that there are exactly six,
with three of them stable (including a point with enhanced $\mathcal{N}=2$
supersymmetry). The strong-weak coupling dualities of $\mathcal{N}=1$
Chern-Simons-matter theories map each of these fixed points to a dual one. We
show that at large N the phase structure near each of the three stable fixed
points is different. For $N_f>1$ we analyze the fixed points at weak coupling,
and we work out the action of the strong-weak coupling duality on the marginal
and relevant superpotential couplings at large N (which was previously known
only for $N_f=1$). In addition, we compute in these theories the 2-point and
3-point functions of the lowest gauge-invariant singlet superfield at large N,
for all values of $\lambda$ and of the superpotential couplings, and use them
to test the large N dualities. This computation is one of the ingredients
needed for a computation of the beta function at order 1/N for all $\lambda$,
which we leave for future work. We also discuss Chern-Simons-matter theories
with extra Hubbard-Stratonovich type singlet fields, and suggest dualities
between them.
|
[
{
"created": "Fri, 17 May 2019 07:37:37 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Aharony",
"Ofer",
""
],
[
"Sharon",
"Adar",
""
]
] |
We discuss 3d $\mathcal{N}=1$ supersymmetric SU(N) and U(N) Chern-Simons-matter theories, with $N_f$ matter superfields in the fundamental representation of SU(N) or U(N). In the large N 't Hooft limit with fixed 't Hooft coupling $\lambda$ these theories have one (for $N_f=1$) or two (for $N_f > 1$) exactly marginal deformations in the superpotential. At finite N these couplings acquire a beta function. We compute the beta function exactly for $\lambda=0$, at leading order in 1/N. For $N_f=1$ we find four fixed points, one of which is triply-degenerate. We show that at large N there are at most six fixed points for any $\lambda$, and conjecture that there are exactly six, with three of them stable (including a point with enhanced $\mathcal{N}=2$ supersymmetry). The strong-weak coupling dualities of $\mathcal{N}=1$ Chern-Simons-matter theories map each of these fixed points to a dual one. We show that at large N the phase structure near each of the three stable fixed points is different. For $N_f>1$ we analyze the fixed points at weak coupling, and we work out the action of the strong-weak coupling duality on the marginal and relevant superpotential couplings at large N (which was previously known only for $N_f=1$). In addition, we compute in these theories the 2-point and 3-point functions of the lowest gauge-invariant singlet superfield at large N, for all values of $\lambda$ and of the superpotential couplings, and use them to test the large N dualities. This computation is one of the ingredients needed for a computation of the beta function at order 1/N for all $\lambda$, which we leave for future work. We also discuss Chern-Simons-matter theories with extra Hubbard-Stratonovich type singlet fields, and suggest dualities between them.
|
hep-th/0401218
|
Soumitra SenGupta
|
Debaprasad Maity, Parthasarathi Majumdar, Soumitra SenGupta
|
Parity-violating Kalb-Ramond-Maxwell interactions and CMB anisotropy in
a braneworld
|
5 Pages,Revtex,No figure, version thoroughly revised, Accepted for
publication in JCAP
|
JCAP 0406 (2004) 005
|
10.1088/1475-7516/2004/06/005
| null |
hep-th
| null |
Following up on a recent paper by two of us (DM and SS), demonstrating the
large enhancement in observable optical activity in radiation from high
redshift sources arising from the string-based coupling of bulk Kalb-Ramond
field to the Maxwell Chern Simons three-form on the brane in a Randall-Sundrum
braneworld, we exhibit here a similar enhancement in parity-violating
temperature-polarization correlations, yet unseen, in the CMB anisotropy due to
a generalized parity-violating Kalb-Ramond axion-photon interaction proposed
earlier by one of us (PM). The non-observation of such correlations in CMB
anisotropies would necessitate unnatural fine tuning of the Kalb-Ramond axion
parameters. As a stringy realization of Randall-Sundrum braneworld scenario is
yet to be understood properly, our work indicates the need of a careful
investigation to establish the connection between string-based phenomenological
models and the Randall-Sundrum braneworld scenario
|
[
{
"created": "Wed, 28 Jan 2004 08:41:47 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2004 12:49:06 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Maity",
"Debaprasad",
""
],
[
"Majumdar",
"Parthasarathi",
""
],
[
"SenGupta",
"Soumitra",
""
]
] |
Following up on a recent paper by two of us (DM and SS), demonstrating the large enhancement in observable optical activity in radiation from high redshift sources arising from the string-based coupling of bulk Kalb-Ramond field to the Maxwell Chern Simons three-form on the brane in a Randall-Sundrum braneworld, we exhibit here a similar enhancement in parity-violating temperature-polarization correlations, yet unseen, in the CMB anisotropy due to a generalized parity-violating Kalb-Ramond axion-photon interaction proposed earlier by one of us (PM). The non-observation of such correlations in CMB anisotropies would necessitate unnatural fine tuning of the Kalb-Ramond axion parameters. As a stringy realization of Randall-Sundrum braneworld scenario is yet to be understood properly, our work indicates the need of a careful investigation to establish the connection between string-based phenomenological models and the Randall-Sundrum braneworld scenario
|
1904.06831
|
Chen-Pin Yeh
|
Da-Shin Lee and Chen-Pin Yeh
|
Time evolution of entanglement entropy of moving mirrors influenced by
strongly coupled quantum critical fields
|
The published version
| null |
10.1007/JHEP06(2019)068
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The evolution of the Von Neumann entanglement entropy of a $n$-dimensional
mirror influenced by the strongly coupled $d$-dimensional quantum critical
fields with a dynamic exponent $z$ is studied by the holographic approach. The
dual description is a $n+1$-dimensional probe brane moving in the
$d+1$-dimensional asymptotic Lifshitz geometry ended at $r=r_b$, which plays a
role as the UV energy cutoff. Using the holographic influence functional
method, we find that in the linear response region, by introducing a harmonic
trap for the mirror, which serves as a IR energy cutoff, the Von Neumann
entropy at late times will saturate by a power-law in time for generic values
of $z$ and $n$. The saturated value and the relaxation rate depend on the
parameter $\alpha\equiv 1+(n+2)/z$, which is restricted to $1<\alpha <3$ but
$\alpha \ne 2$. We find that the saturated values of the entropy are
qualitatively different for the theories with $1<\alpha<2$ and $2<\alpha<3$.
Additionally, the power law relaxation follows the rate $\propto
t^{-2\alpha-1}$. This probe brane approach provides an alternative way to study
the time evolution of the entanglement entropy in the linear response region
that shows the similar power-law relaxation behavior as in the studies of
entanglement entropies based on Ryu-Takayanagi conjecture. We also compare our
results with quantum Brownian motion in a bath of relativistic free fields.
|
[
{
"created": "Mon, 15 Apr 2019 03:52:41 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jun 2019 07:57:28 GMT",
"version": "v2"
}
] |
2019-07-24
|
[
[
"Lee",
"Da-Shin",
""
],
[
"Yeh",
"Chen-Pin",
""
]
] |
The evolution of the Von Neumann entanglement entropy of a $n$-dimensional mirror influenced by the strongly coupled $d$-dimensional quantum critical fields with a dynamic exponent $z$ is studied by the holographic approach. The dual description is a $n+1$-dimensional probe brane moving in the $d+1$-dimensional asymptotic Lifshitz geometry ended at $r=r_b$, which plays a role as the UV energy cutoff. Using the holographic influence functional method, we find that in the linear response region, by introducing a harmonic trap for the mirror, which serves as a IR energy cutoff, the Von Neumann entropy at late times will saturate by a power-law in time for generic values of $z$ and $n$. The saturated value and the relaxation rate depend on the parameter $\alpha\equiv 1+(n+2)/z$, which is restricted to $1<\alpha <3$ but $\alpha \ne 2$. We find that the saturated values of the entropy are qualitatively different for the theories with $1<\alpha<2$ and $2<\alpha<3$. Additionally, the power law relaxation follows the rate $\propto t^{-2\alpha-1}$. This probe brane approach provides an alternative way to study the time evolution of the entanglement entropy in the linear response region that shows the similar power-law relaxation behavior as in the studies of entanglement entropies based on Ryu-Takayanagi conjecture. We also compare our results with quantum Brownian motion in a bath of relativistic free fields.
|
1911.02309
|
Diptarka Das
|
Enrico M. Brehm, Diptarka Das
|
Aspects of the S transformation Bootstrap
|
27+7 pages, 3 figures, v2 : improved the numerics for torus-one-point
function bootstrap, corrected a missing factor in the torus-two-point
function, conclusions unchanged, and new references added
|
J. Stat. Mech. 053103 (2020)
|
10.1088/1742-5468/ab7f36
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review and systematize two (analytic) bootstrap techniques in
two-dimensional conformal field theories using the S-modular transformation.
The first one gives universal results in asymptotic regimes by relating extreme
temperatures. Along with the presentation of known results, we use this
technique to also derive asymptotic formulae for the Zamolodchikov recursion
coefficients which match previous conjectures from numerics and from Regge
asymptotic analysis. The second technique focuses on intermediate temperatures.
We use it to sketch a methodology to derive a bound on off-diagonal squared OPE
coefficients, as well as to improve existing bounds on the spectrum in case of
non-negative diagonal OPE coefficients.
|
[
{
"created": "Wed, 6 Nov 2019 10:58:18 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2020 13:19:16 GMT",
"version": "v2"
}
] |
2020-07-21
|
[
[
"Brehm",
"Enrico M.",
""
],
[
"Das",
"Diptarka",
""
]
] |
We review and systematize two (analytic) bootstrap techniques in two-dimensional conformal field theories using the S-modular transformation. The first one gives universal results in asymptotic regimes by relating extreme temperatures. Along with the presentation of known results, we use this technique to also derive asymptotic formulae for the Zamolodchikov recursion coefficients which match previous conjectures from numerics and from Regge asymptotic analysis. The second technique focuses on intermediate temperatures. We use it to sketch a methodology to derive a bound on off-diagonal squared OPE coefficients, as well as to improve existing bounds on the spectrum in case of non-negative diagonal OPE coefficients.
|
hep-th/9908062
|
Haruhiko Terao
|
Ken-Ichi Kubota (Kanazawa U.), Haruhiko Terao (Kanazawa U.)
|
Nonperturbative Renormalization Group and Renormalizability of Gauged
NJL Model
|
17 pages, 5 epsf figures
|
Prog.Theor.Phys. 102 (1999) 1163-1179
|
10.1143/PTP.102.1163
|
Kanazawa-99-13
|
hep-th hep-ph
| null |
Non-perturbative renormalizability, or non-triviality, of the gauged
Nambu-Jona-Lasinio (NJL) model in four dimensions is examined by using
non-perturbative (exact) renormalization group in large $N_c$ limit. When
running of the gauge coupling is asymptotically free and slow enough, the two
dimensional renormalized trajectory (subspace) spanned by the four fermi
coupling and the gauge coupling is found to exist, which implies
renormalizability of the gauged NJL model. In the case of fixed gauge coupling,
renormalizability of the model turns out to be guaranteed by the line of the UV
fixed points. We discuss also non-triviality of the gauged NJL model extended
to include higher dimensional operators and correspondence with the
gauge-Higgs-Yukawa system.
|
[
{
"created": "Mon, 9 Aug 1999 00:08:06 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kubota",
"Ken-Ichi",
"",
"Kanazawa U."
],
[
"Terao",
"Haruhiko",
"",
"Kanazawa U."
]
] |
Non-perturbative renormalizability, or non-triviality, of the gauged Nambu-Jona-Lasinio (NJL) model in four dimensions is examined by using non-perturbative (exact) renormalization group in large $N_c$ limit. When running of the gauge coupling is asymptotically free and slow enough, the two dimensional renormalized trajectory (subspace) spanned by the four fermi coupling and the gauge coupling is found to exist, which implies renormalizability of the gauged NJL model. In the case of fixed gauge coupling, renormalizability of the model turns out to be guaranteed by the line of the UV fixed points. We discuss also non-triviality of the gauged NJL model extended to include higher dimensional operators and correspondence with the gauge-Higgs-Yukawa system.
|
hep-th/0410128
|
Sergei Kuzenko
|
S. M. Kuzenko
|
Self-dual effective action of N = 4 SYM revisited
|
0+37 pages, 1 figure, latex; V2: references, comments added; V3:
comments, references added
|
JHEP 0503:008,2005
|
10.1088/1126-6708/2005/03/008
| null |
hep-th
| null |
More evidence is provided for the conjectured correspondence between the
D3-brane action in AdS_5 x S^5 and the low-energy effective action for N = 4
SU(N) SYM on its Coulomb branch, where the gauge group SU(N) is spontaneously
broken to SU(N-1) x U(1) and the dynamics is described by a single N = 2 vector
multiplet corresponding to the U(1) factor of the unbroken group. Using an
off-shell formulation for N = 4 SYM in N = 2 harmonic superspace, within the
background-field quantization scheme we compute the two-loop quantum correction
to a holomorphic sector of the effective action, which is a supersymmetric
completion of interactions of the form \Omega ((F^+)^2 |Y|^{-4}) (F^+)^2(F^-)^2
|Y|^{-4}, with F^\pm the (anti) self-dual components of the U(1) gauge field
strength, and Y the complex scalar belonging to the vector multiplet. In the
one-loop approximation, \Omega was shown in hep-th/9911221 to be constant. It
is demonstrated in the present paper that \Omega \propto (F^+)^2 |Y|^{-4} at
the two-loop order. The corresponding coefficient proves to agree with the F^6
coefficient in the D3-brane action, after implementing the nonlinear field
redefinition which was sketched in hep-th/9810152 and which relates the N = 2
vector multiplet component fields with those living on the D3-brane. In the
approximation considered, our results are consistent with the conjecture of
hep-th/9810152 that the N = 4 SYM effective action is self-dual under N = 2
superfield Legendre transformation, and also with the stronger conjecture of
hep-th/0001068 that it is self-dual under supersymmetric U(1) duality
rotations.
|
[
{
"created": "Tue, 12 Oct 2004 01:54:54 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2004 01:40:44 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Feb 2005 02:26:49 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Kuzenko",
"S. M.",
""
]
] |
More evidence is provided for the conjectured correspondence between the D3-brane action in AdS_5 x S^5 and the low-energy effective action for N = 4 SU(N) SYM on its Coulomb branch, where the gauge group SU(N) is spontaneously broken to SU(N-1) x U(1) and the dynamics is described by a single N = 2 vector multiplet corresponding to the U(1) factor of the unbroken group. Using an off-shell formulation for N = 4 SYM in N = 2 harmonic superspace, within the background-field quantization scheme we compute the two-loop quantum correction to a holomorphic sector of the effective action, which is a supersymmetric completion of interactions of the form \Omega ((F^+)^2 |Y|^{-4}) (F^+)^2(F^-)^2 |Y|^{-4}, with F^\pm the (anti) self-dual components of the U(1) gauge field strength, and Y the complex scalar belonging to the vector multiplet. In the one-loop approximation, \Omega was shown in hep-th/9911221 to be constant. It is demonstrated in the present paper that \Omega \propto (F^+)^2 |Y|^{-4} at the two-loop order. The corresponding coefficient proves to agree with the F^6 coefficient in the D3-brane action, after implementing the nonlinear field redefinition which was sketched in hep-th/9810152 and which relates the N = 2 vector multiplet component fields with those living on the D3-brane. In the approximation considered, our results are consistent with the conjecture of hep-th/9810152 that the N = 4 SYM effective action is self-dual under N = 2 superfield Legendre transformation, and also with the stronger conjecture of hep-th/0001068 that it is self-dual under supersymmetric U(1) duality rotations.
|
2111.07962
|
Frans Klinkhamer
|
F.R. Klinkhamer, G.E. Volovik
|
Big bang as a topological quantum phase transition
|
22 pages, 6 figures, v5: published version
|
Phys. Rev. D 105, 084066 (2022)
|
10.1103/PhysRevD.105.084066
|
KA-TP-27-2021
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been argued that a particular type of quantum-vacuum variable $q$ can
provide a solution to the main cosmological constant problem and possibly also
give a cold-dark-matter component. We now show that the same $q$-field may
suggest a new interpretation of the big bang, namely as a quantum phase
transition between topologically inequivalent vacua. These two vacua are
characterized by the equilibrium values $q=\pm \, q_{0}$ and there is a
kink-type solution $q(t)$ interpolating between $q=- q_{0}$ for $t\to -\infty$
and $q= +q_{0}$ for $t\to \infty$, with conformal symmetry for $q=0$ at $t=0$.
|
[
{
"created": "Mon, 15 Nov 2021 18:18:48 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Nov 2021 18:41:05 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Jan 2022 18:31:57 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Mar 2022 16:15:37 GMT",
"version": "v4"
},
{
"created": "Mon, 2 May 2022 15:14:19 GMT",
"version": "v5"
}
] |
2022-05-11
|
[
[
"Klinkhamer",
"F. R.",
""
],
[
"Volovik",
"G. E.",
""
]
] |
It has been argued that a particular type of quantum-vacuum variable $q$ can provide a solution to the main cosmological constant problem and possibly also give a cold-dark-matter component. We now show that the same $q$-field may suggest a new interpretation of the big bang, namely as a quantum phase transition between topologically inequivalent vacua. These two vacua are characterized by the equilibrium values $q=\pm \, q_{0}$ and there is a kink-type solution $q(t)$ interpolating between $q=- q_{0}$ for $t\to -\infty$ and $q= +q_{0}$ for $t\to \infty$, with conformal symmetry for $q=0$ at $t=0$.
|
0711.4680
|
Boris Zupnik
|
B.M. Zupnik
|
Chern-Simons D=3, N=6 superfield theory
|
Latex file, 9 pages, v.2 a note and references added
|
Phys.Lett.B660:254-259,2008
|
10.1016/j.physletb.2007.12.052
| null |
hep-th
| null |
We construct the D=3, N=5 harmonic superspace using the SO(5)/U(1) x U(1)
harmonics. Three gauge harmonic superfields satisfy the off-shell constraints
of the Grassmann and harmonic analyticities. The corresponding component
supermultiplet contains the gauge field A_m and an infinite number of bosonic
and fermionic fields with the SO(5) vector indices arising from decompositions
of gauge superfields in harmonics and Grassmann coordinates. The nonabelian
superfield Chern-Simons action is invariant with respect to the N=6
superconformal supersymmetry realized on the N=5 superfields. The component
Lagrangian contains the Chern-Simons interaction of A_m and an infinite number
of bilinear and trilinear interactions of auxiliary fields. The fermionic and
bosonic auxiliary fields from the infinite N=5 multiplet vanish on-shell.
|
[
{
"created": "Thu, 29 Nov 2007 10:14:14 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2007 09:17:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Zupnik",
"B. M.",
""
]
] |
We construct the D=3, N=5 harmonic superspace using the SO(5)/U(1) x U(1) harmonics. Three gauge harmonic superfields satisfy the off-shell constraints of the Grassmann and harmonic analyticities. The corresponding component supermultiplet contains the gauge field A_m and an infinite number of bosonic and fermionic fields with the SO(5) vector indices arising from decompositions of gauge superfields in harmonics and Grassmann coordinates. The nonabelian superfield Chern-Simons action is invariant with respect to the N=6 superconformal supersymmetry realized on the N=5 superfields. The component Lagrangian contains the Chern-Simons interaction of A_m and an infinite number of bilinear and trilinear interactions of auxiliary fields. The fermionic and bosonic auxiliary fields from the infinite N=5 multiplet vanish on-shell.
|
1111.4224
|
Kimball A. Milton
|
Kimball A. Milton, Prachi Parashar, Nima Pourtolami, Iver Brevik
|
Casimir-Polder repulsion: Polarizable atoms, cylinders, spheres, and
ellipsoids
|
17 pages, 4 figures; new version has added references, some
additional discussion, and slight corrections
|
Phys. Rev. D 85, 025008 (2012)
|
10.1103/PhysRevD.85.025008
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, the topic of Casimir repulsion has received a great deal of
attention, largely because of the possibility of technological application. The
general subject has a long history, going back to the self-repulsion of a
conducting spherical shell and the repulsion between a perfect electric
conductor and a perfect magnetic conductor. Recently it has been observed that
repulsion can be achieved between ordinary conducting bodies, provided
sufficient anisotropy is present. For example, an anisotropic polarizable atom
can be repelled near an aperture in a conducting plate. Here we provide new
examples of this effect, including the repulsion on such an atom moving on a
trajectory nonintersecting a conducting cylinder; in contrast, such repulsion
does not occur outside a sphere. Classically, repulsion does occur between a
conducting ellipsoid placed in a uniform electric field and an electric dipole.
The Casimir-Polder force between an anisotropic atom and an anisotropic
dielectric semispace does not exhibit repulsion. The general systematics of
repulsion are becoming clear.
|
[
{
"created": "Thu, 17 Nov 2011 21:27:00 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2012 14:48:47 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Milton",
"Kimball A.",
""
],
[
"Parashar",
"Prachi",
""
],
[
"Pourtolami",
"Nima",
""
],
[
"Brevik",
"Iver",
""
]
] |
Recently, the topic of Casimir repulsion has received a great deal of attention, largely because of the possibility of technological application. The general subject has a long history, going back to the self-repulsion of a conducting spherical shell and the repulsion between a perfect electric conductor and a perfect magnetic conductor. Recently it has been observed that repulsion can be achieved between ordinary conducting bodies, provided sufficient anisotropy is present. For example, an anisotropic polarizable atom can be repelled near an aperture in a conducting plate. Here we provide new examples of this effect, including the repulsion on such an atom moving on a trajectory nonintersecting a conducting cylinder; in contrast, such repulsion does not occur outside a sphere. Classically, repulsion does occur between a conducting ellipsoid placed in a uniform electric field and an electric dipole. The Casimir-Polder force between an anisotropic atom and an anisotropic dielectric semispace does not exhibit repulsion. The general systematics of repulsion are becoming clear.
|
hep-th/9603144
|
Kiyoshi Kamimura
|
J. Gomis, K.Kamimura and R.Kuriki
|
The WZ Term of the Spinning String and its On-shell Structure
|
10 pages, Latex
|
Nucl.Phys. B471 (1996) 513-520
|
10.1016/0550-3213(96)00186-1
|
UB-ECM-PF 95/22, TOHO-FP-9553
|
hep-th
| null |
The Wess-Zumino term of the spinning string is constructed in terms of their
anomalies using an extended field-antifield formalism. A new feature appears
from a fact that the non-anomalous transformations do not form a sub-group. The
algebra of the extended variables closes only using the equations of motion
derived from the WZ term.
|
[
{
"created": "Fri, 22 Mar 1996 03:07:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Gomis",
"J.",
""
],
[
"Kamimura",
"K.",
""
],
[
"Kuriki",
"R.",
""
]
] |
The Wess-Zumino term of the spinning string is constructed in terms of their anomalies using an extended field-antifield formalism. A new feature appears from a fact that the non-anomalous transformations do not form a sub-group. The algebra of the extended variables closes only using the equations of motion derived from the WZ term.
|
1006.5165
|
Pallab Basu
|
Daniel Arean, Pallab Basu, Chethan Krishnan
|
The Many Phases of Holographic Superfluids
|
31 pages, 19 figures
|
JHEP 1010:006,2010
|
10.1007/JHEP10(2010)006
| null |
hep-th cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate holographic superfluids in AdS_{d+1} with d=3,4 in the
non-backreacted approximation for various masses of the scalar field. In d=3
the phase structure is universal for all the masses that we consider: the
critical temperature decreases as the superfluid velocity increases, and as it
is cranked high enough, the order of the phase transition changes from second
to first. Surprisingly, in d=4 we find that the phase structure is more
intricate. For sufficiently high mass, there is always a second order phase
transition to the normal phase, no matter how high the superfluid velocity. For
some parameters, as we lower the temperature, this transition happens before a
first order transition to a new superconducting phase. Across this first order
transition, the gap in the transverse conductivity jumps from almost zero to
about half its maximum value. We also introduce a double scaling limit where we
can study the phase transitions (semi-)analytically in the large velocity
limit. The results corroborate and complement our numerical results. In d=4,
this approach has the virtue of being fully analytically tractable.
|
[
{
"created": "Sat, 26 Jun 2010 21:08:10 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 2010 21:58:08 GMT",
"version": "v2"
}
] |
2010-10-28
|
[
[
"Arean",
"Daniel",
""
],
[
"Basu",
"Pallab",
""
],
[
"Krishnan",
"Chethan",
""
]
] |
We investigate holographic superfluids in AdS_{d+1} with d=3,4 in the non-backreacted approximation for various masses of the scalar field. In d=3 the phase structure is universal for all the masses that we consider: the critical temperature decreases as the superfluid velocity increases, and as it is cranked high enough, the order of the phase transition changes from second to first. Surprisingly, in d=4 we find that the phase structure is more intricate. For sufficiently high mass, there is always a second order phase transition to the normal phase, no matter how high the superfluid velocity. For some parameters, as we lower the temperature, this transition happens before a first order transition to a new superconducting phase. Across this first order transition, the gap in the transverse conductivity jumps from almost zero to about half its maximum value. We also introduce a double scaling limit where we can study the phase transitions (semi-)analytically in the large velocity limit. The results corroborate and complement our numerical results. In d=4, this approach has the virtue of being fully analytically tractable.
|
hep-th/9909013
|
Nicolaos Toumbas
|
Leonard Susskind and Nicolaos Toumbas
|
Wilson Loops as Precursors
|
23 pages, no figures
|
Phys.Rev.D61:044001,2000
|
10.1103/PhysRevD.61.044001
|
SU-ITP 99-40
|
hep-th
| null |
There is substantial evidence that string theory on AdS_5 x S_5 is a
holographic theory in which the number of degrees of freedom scales as the area
of the boundary in Planck units. Precisely how the theory can describe bulk
physics using only surface degrees of freedom is not well understood. A
particularly paradoxical situation involves an event deep in the interior of
the bulk space. The event must be recorded in the (Schroedinger Picture) state
vector of the boundary theory long before a signal, such as a gravitational
wave, can propagate from the event to the boundary. In a previous paper with
Polchinski, we argued that the "precursor" operators which carry information
stored in the wave during the time when it vanishes in a neighborhood of the
boundary are necessarily non-local. In this paper we argue that the precursors
cannot be products of local gauge invariant operators such as the energy
momentum tensor. In fact gauge theories have a class of intrinsically non-local
operators which cannot be built from local gauge invariant objects. These are
the Wilson loops. We show that the precursors can be identified with Wilson
loops whose spatial size is dictated by the UV-IR connection.
|
[
{
"created": "Thu, 2 Sep 1999 22:46:08 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Sep 1999 03:10:20 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Mar 2000 18:08:03 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Susskind",
"Leonard",
""
],
[
"Toumbas",
"Nicolaos",
""
]
] |
There is substantial evidence that string theory on AdS_5 x S_5 is a holographic theory in which the number of degrees of freedom scales as the area of the boundary in Planck units. Precisely how the theory can describe bulk physics using only surface degrees of freedom is not well understood. A particularly paradoxical situation involves an event deep in the interior of the bulk space. The event must be recorded in the (Schroedinger Picture) state vector of the boundary theory long before a signal, such as a gravitational wave, can propagate from the event to the boundary. In a previous paper with Polchinski, we argued that the "precursor" operators which carry information stored in the wave during the time when it vanishes in a neighborhood of the boundary are necessarily non-local. In this paper we argue that the precursors cannot be products of local gauge invariant operators such as the energy momentum tensor. In fact gauge theories have a class of intrinsically non-local operators which cannot be built from local gauge invariant objects. These are the Wilson loops. We show that the precursors can be identified with Wilson loops whose spatial size is dictated by the UV-IR connection.
|
1609.01988
|
Scientific Information Service CERN
|
M. Mulders (CERN) (ed.) and G. Perez (CERN) (ed.)
|
Proceedings of the 2013 European School of High-Energy Physics (ESHEP
2013), Paradfurdo, Hungary, 5-18 Jun 2013
|
6 lectures, 333 pages, published as CERN Yellow Report
https://e-publishing.cern.ch/index.php/CYR/issue/view/3
| null |
10.5170/CERN-2015-004
|
CERN-2015-004
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The European School of High-Energy Physics is intended to give young
physicists an introduction to the theoretical aspects of recent advances in
elementary particle physics. These proceedings contain lecture notes on the
Standard Model of electroweak interactions, quantum chromodynamics, Higgs
physics, physics beyond the Standard Model, flavour physics, and practical
statistics for particle physicists.
|
[
{
"created": "Wed, 7 Sep 2016 14:04:04 GMT",
"version": "v1"
}
] |
2016-09-08
|
[
[
"Mulders",
"M.",
"",
"CERN"
],
[
"Perez",
"G.",
"",
"CERN"
]
] |
The European School of High-Energy Physics is intended to give young physicists an introduction to the theoretical aspects of recent advances in elementary particle physics. These proceedings contain lecture notes on the Standard Model of electroweak interactions, quantum chromodynamics, Higgs physics, physics beyond the Standard Model, flavour physics, and practical statistics for particle physicists.
|
hep-th/9407143
| null |
A. Ferrando and V. Vento
|
Hadron Correlators and the Structure of the Quark Propagator
|
12 pp in LaTeX, preprint Univ. of Valencia, FTUV/94-16, IFIC/94-15.
To appear in Z.Phys.C
|
Z.Phys. C63 (1994) 485-490
|
10.1007/BF01580329
| null |
hep-th hep-ph
| null |
The structure of the quark propagator of $QCD$ in a confining background is
not known. We make an Ansatz for it, as hinted by a particular mechanism for
confinement, and analyze its implications in the meson and baryon correlators.
We connect the various terms in the K\"allen-Lehmann representation of the
quark propagator with appropriate combinations of hadron correlators, which may
ultimately be calculated in lattice $QCD$. Furthermore, using the positivity of
the path integral measure for vector like theories, we reanalyze some mass
inequalities in our formalism. A curiosity of the analysis is that, the exotic
components of the propagator (axial and tensor), produce terms in the hadron
correlators which, if not vanishing in the gauge field integration, lead to
violations of fundamental symmetries. The non observation of these violations
implies restrictions in the space-time structure of the contributing gauge
field configurations. In this way, lattice $QCD$ can help us analyze the
microscopic structure of the mechanisms for confinement.
|
[
{
"created": "Fri, 22 Jul 1994 10:14:00 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Ferrando",
"A.",
""
],
[
"Vento",
"V.",
""
]
] |
The structure of the quark propagator of $QCD$ in a confining background is not known. We make an Ansatz for it, as hinted by a particular mechanism for confinement, and analyze its implications in the meson and baryon correlators. We connect the various terms in the K\"allen-Lehmann representation of the quark propagator with appropriate combinations of hadron correlators, which may ultimately be calculated in lattice $QCD$. Furthermore, using the positivity of the path integral measure for vector like theories, we reanalyze some mass inequalities in our formalism. A curiosity of the analysis is that, the exotic components of the propagator (axial and tensor), produce terms in the hadron correlators which, if not vanishing in the gauge field integration, lead to violations of fundamental symmetries. The non observation of these violations implies restrictions in the space-time structure of the contributing gauge field configurations. In this way, lattice $QCD$ can help us analyze the microscopic structure of the mechanisms for confinement.
|
2211.07456
|
Parinya Karndumri
|
Parinya Karndumri
|
New supersymmetric $AdS_5$ black strings from 5D $N=4$ gauged
supergravity
|
31 pages, 7 figures, a sequel to arXiv: 2209.05270, typos corrected
|
Eur. Phys. J. C83 (2023) 432
|
10.1140/epjc/s10052-023-11623-7
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We find a large class of new supersymmetric $AdS_5$ black strings from
five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets
with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. These solutions have near
horizon geometries of the form $AdS_3\times \Sigma^2$ for $\Sigma^2$ being a
two-sphere ($S^2$) or a hyperbolic space ($H^2$). There are four supersymmetric
$AdS_5$ vacua with $N=4$ and $N=2$ supersymmetries. By performing topological
twists along $\Sigma^2$ with $SO(2)\times SO(2)_{\textrm{diag}}$ and
$SO(2)_{\textrm{diag}}$ gauge fields, we find a number of $AdS_3\times
\Sigma^2$ fixed points describing near horizon geometries of black strings in
asymptotically $AdS_5$ spaces. Most of the solutions take the form of
$AdS_3\times H^2$ with only one being $AdS_3\times S^2$ preserving
$SO(2)_{\textrm{diag}}$ symmetry. We also give the corresponding black string
solutions interpolating between asymptotically locally $AdS_5$ vacua and the
near horizon $AdS_3\times \Sigma^2$ geometries. There are a number of solutions
flowing from one, two or three $AdS_5$ vacua to an $AdS_3\times \Sigma^2$ fixed
point. These solutions can also be considered as holographic RG flows across
dimensions from $N=2$ and $N=1$ SCFTs in four dimensions to two-dimensional
SCFTs with $N=(2,0)$ or $N=(0,2)$ supersymmetry.
|
[
{
"created": "Mon, 14 Nov 2022 15:32:21 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2022 15:37:27 GMT",
"version": "v2"
},
{
"created": "Mon, 22 May 2023 15:24:36 GMT",
"version": "v3"
}
] |
2023-05-25
|
[
[
"Karndumri",
"Parinya",
""
]
] |
We find a large class of new supersymmetric $AdS_5$ black strings from five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. These solutions have near horizon geometries of the form $AdS_3\times \Sigma^2$ for $\Sigma^2$ being a two-sphere ($S^2$) or a hyperbolic space ($H^2$). There are four supersymmetric $AdS_5$ vacua with $N=4$ and $N=2$ supersymmetries. By performing topological twists along $\Sigma^2$ with $SO(2)\times SO(2)_{\textrm{diag}}$ and $SO(2)_{\textrm{diag}}$ gauge fields, we find a number of $AdS_3\times \Sigma^2$ fixed points describing near horizon geometries of black strings in asymptotically $AdS_5$ spaces. Most of the solutions take the form of $AdS_3\times H^2$ with only one being $AdS_3\times S^2$ preserving $SO(2)_{\textrm{diag}}$ symmetry. We also give the corresponding black string solutions interpolating between asymptotically locally $AdS_5$ vacua and the near horizon $AdS_3\times \Sigma^2$ geometries. There are a number of solutions flowing from one, two or three $AdS_5$ vacua to an $AdS_3\times \Sigma^2$ fixed point. These solutions can also be considered as holographic RG flows across dimensions from $N=2$ and $N=1$ SCFTs in four dimensions to two-dimensional SCFTs with $N=(2,0)$ or $N=(0,2)$ supersymmetry.
|
1811.03765
|
Yang An
|
Yang An
|
Inertial force, Hawking Temperature and Quantum Statistics
|
Main results major revised, new reference added, 6 pages, 3 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To explore the mechanism for the entropic force proposal in Entropic Gravity,
we propose a specific thermodynamic process for states thermalized in local
Hawking Temperature. We find when Casini's version of the Bekenstein bound is
saturated, the thermodynamic force derived in the entanglement first law
matches the local inertial force for the Schwarzschild solution, except for a
negligible statistics-dependent factor. We argue the gravity viewed by static
observers may have observable effects emerged from quantum statistics. The
successful detailed calculation in this simple model inspires and is in support
of the further development in our following research arXiv:2004.14059.
|
[
{
"created": "Fri, 9 Nov 2018 04:05:37 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2019 02:31:58 GMT",
"version": "v2"
},
{
"created": "Sat, 2 May 2020 17:38:12 GMT",
"version": "v3"
}
] |
2020-05-05
|
[
[
"An",
"Yang",
""
]
] |
To explore the mechanism for the entropic force proposal in Entropic Gravity, we propose a specific thermodynamic process for states thermalized in local Hawking Temperature. We find when Casini's version of the Bekenstein bound is saturated, the thermodynamic force derived in the entanglement first law matches the local inertial force for the Schwarzschild solution, except for a negligible statistics-dependent factor. We argue the gravity viewed by static observers may have observable effects emerged from quantum statistics. The successful detailed calculation in this simple model inspires and is in support of the further development in our following research arXiv:2004.14059.
|
1602.01375
|
Aron Jansen
|
Umut G\"ursoy, Aron Jansen, Watse Sybesma, Stefan Vandoren
|
Holographic Equilibration of Nonrelativistic Plasmas
|
4 pages, 4 figures
|
Phys. Rev. Lett. 117, 051601 (2016)
|
10.1103/PhysRevLett.117.051601
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study far-from-equilibrium physics of strongly interacting plasmas at
criticality and zero charge density for a wide range of dynamical scaling
exponents z in d dimensions using holographic methods. In particular, we
consider homogeneous isotropization of asymptotically Lifshitz black branes
with full backreaction. We find stable evolution and equilibration times that
exhibit small dependence of z and are of the order of the inverse temperature.
Performing a quasinormal mode analysis we find a corresponding narrow range of
relaxation times, fully characterized by the fraction z/(d-1). For z>=d-1,
equilibration is overdamped, whereas for z<d-1 we find oscillatory behavior.
|
[
{
"created": "Wed, 3 Feb 2016 17:22:39 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 2016 11:01:04 GMT",
"version": "v2"
}
] |
2016-08-03
|
[
[
"Gürsoy",
"Umut",
""
],
[
"Jansen",
"Aron",
""
],
[
"Sybesma",
"Watse",
""
],
[
"Vandoren",
"Stefan",
""
]
] |
We study far-from-equilibrium physics of strongly interacting plasmas at criticality and zero charge density for a wide range of dynamical scaling exponents z in d dimensions using holographic methods. In particular, we consider homogeneous isotropization of asymptotically Lifshitz black branes with full backreaction. We find stable evolution and equilibration times that exhibit small dependence of z and are of the order of the inverse temperature. Performing a quasinormal mode analysis we find a corresponding narrow range of relaxation times, fully characterized by the fraction z/(d-1). For z>=d-1, equilibration is overdamped, whereas for z<d-1 we find oscillatory behavior.
|
hep-th/9512145
|
David Kutasov
|
David Kutasov
|
Orbifolds and Solitons
|
9 pages, harvmac; a few additional comments and references
|
Phys.Lett. B383 (1996) 48-53
|
10.1016/0370-2693(96)00708-3
|
EFI-95-79
|
hep-th
| null |
We propose a conformal field theory description of a solitonic heterotic
string in type $IIA$ superstring theory compactified on $K3$, generalizing
previous work by J. Harvey, A. Strominger and A. Sen. In ten dimensions the
construction gives a fivebrane which is related to the fundamental type $II$
string by electric -- magnetic duality, and to the Dirichlet fivebrane of type
$IIB$ string theory by $SL(2, Z)$.
|
[
{
"created": "Tue, 19 Dec 1995 14:44:09 GMT",
"version": "v1"
},
{
"created": "Thu, 9 May 1996 18:25:51 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Kutasov",
"David",
""
]
] |
We propose a conformal field theory description of a solitonic heterotic string in type $IIA$ superstring theory compactified on $K3$, generalizing previous work by J. Harvey, A. Strominger and A. Sen. In ten dimensions the construction gives a fivebrane which is related to the fundamental type $II$ string by electric -- magnetic duality, and to the Dirichlet fivebrane of type $IIB$ string theory by $SL(2, Z)$.
|
hep-th/9809077
|
Rudolf Muradian
|
A. E. Santana and R. Muradian
|
Hopf Structure in Nambu-Lie n-Algebras
|
LaTeX, 6 pages, no figures
|
Theor.Math.Phys. 114 (1998) 67-72
| null | null |
hep-th
| null |
We give a definition and study Hopf structures in ternary (and n-ary)
Nambu-Lie algebra. The fundamental concepts of 3-coalgebra, 3-bialgebra and
Hopf 3- algebra are introduced. Some examples of Hopf structures are analyzed.
|
[
{
"created": "Fri, 11 Sep 1998 13:57:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Santana",
"A. E.",
""
],
[
"Muradian",
"R.",
""
]
] |
We give a definition and study Hopf structures in ternary (and n-ary) Nambu-Lie algebra. The fundamental concepts of 3-coalgebra, 3-bialgebra and Hopf 3- algebra are introduced. Some examples of Hopf structures are analyzed.
|
1805.06354
|
Luis E. Oxman
|
L. E. Oxman
|
4d ensembles of percolating center vortices and monopole defects: the
emergence of flux tubes with N-ality and gluon confinement
|
27 pages, LaTeX, improved version
|
Phys. Rev. D 98, 036018 (2018)
|
10.1103/PhysRevD.98.036018
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Ensembles of magnetic defects represent quantum variables that have been
detected and extensively explored in lattice ${\rm SU}(N)$ pure Yang-Mills
theory. They successfully explain many properties of confinement and are
strongly believed to capture the (infrared) path-integral measure. In this
work, we initially motivate the presence of magnetic non-Abelian degrees of
freedom in these ensembles. Next, we consider a simple Gaussian model to
account for fluctuations. In this case, both center vortices and monopoles
become relevant degrees in Wilson loop averages. These physical inputs are then
implemented in an ensemble of percolating center vortices in four dimensions by
proposing a measure to compute center-element averages. The introduction of
phenomenological information such as monopole tension, stiffness, and fusion
leads to an effective YMH model with adjoint Higgs fields. If monopoles also
condense, then the gauge group undergoes ${\rm SU}(N) \to {\rm Z}(N)$ SSB. This
pattern has been proposed as a strong candidate to describe confinement. In the
presence of external quarks, these models are known to be dominated by
classical solutions, formed by flux tubes with $N$-ality as well as by confined
dual monopoles (gluons).
|
[
{
"created": "Wed, 16 May 2018 14:54:59 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Aug 2018 23:33:49 GMT",
"version": "v2"
}
] |
2018-08-29
|
[
[
"Oxman",
"L. E.",
""
]
] |
Ensembles of magnetic defects represent quantum variables that have been detected and extensively explored in lattice ${\rm SU}(N)$ pure Yang-Mills theory. They successfully explain many properties of confinement and are strongly believed to capture the (infrared) path-integral measure. In this work, we initially motivate the presence of magnetic non-Abelian degrees of freedom in these ensembles. Next, we consider a simple Gaussian model to account for fluctuations. In this case, both center vortices and monopoles become relevant degrees in Wilson loop averages. These physical inputs are then implemented in an ensemble of percolating center vortices in four dimensions by proposing a measure to compute center-element averages. The introduction of phenomenological information such as monopole tension, stiffness, and fusion leads to an effective YMH model with adjoint Higgs fields. If monopoles also condense, then the gauge group undergoes ${\rm SU}(N) \to {\rm Z}(N)$ SSB. This pattern has been proposed as a strong candidate to describe confinement. In the presence of external quarks, these models are known to be dominated by classical solutions, formed by flux tubes with $N$-ality as well as by confined dual monopoles (gluons).
|
hep-th/9206087
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri and Ichiro Oda
|
Charged Dilatonic Black Hole and Hawking Radiation in Two Dimensions
|
15pp
|
Phys.Lett. B294 (1992) 317-324
|
10.1016/0370-2693(92)91527-G
| null |
hep-th
| null |
We consider Callan, Giddings, Harvey and Strominger's (CGHS) two dimensional
dilatonic gravity with electromagnetic interactions. This model can be also
solved classically. Among the solutions describing static black holes, there
exist extremal solutions which have zero temperatures. In the extremal
solutions, the space-time metric is not singular. We also obtain the solutions
describing charged matter (chiral fermions) collapsing into black holes.
Through the collapsing, not only future horizon but past horizon is also
shifted. The quantum corrections including chiral anomaly are also discussed.
In a way similar to CGHS model, the curvature singularity also appeared, except
extremal case, when the matter collapsing. The screening effects due to the
chiral anomaly have a tendency to cloak the singularity
|
[
{
"created": "Wed, 24 Jun 1992 03:01:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Oda",
"Ichiro",
""
]
] |
We consider Callan, Giddings, Harvey and Strominger's (CGHS) two dimensional dilatonic gravity with electromagnetic interactions. This model can be also solved classically. Among the solutions describing static black holes, there exist extremal solutions which have zero temperatures. In the extremal solutions, the space-time metric is not singular. We also obtain the solutions describing charged matter (chiral fermions) collapsing into black holes. Through the collapsing, not only future horizon but past horizon is also shifted. The quantum corrections including chiral anomaly are also discussed. In a way similar to CGHS model, the curvature singularity also appeared, except extremal case, when the matter collapsing. The screening effects due to the chiral anomaly have a tendency to cloak the singularity
|
hep-th/0201222
|
Dorothea Bahns
|
D. Bahns, S. Doplicher, K. Fredenhagen, G. Piacitelli
|
On the unitarity problem in space/time noncommutative theories
|
7 pages; typos corrected, sign convention changed on p.2
|
Phys.Lett.B533:178-181,2002
|
10.1016/S0370-2693(02)01563-0
|
DESY 02-028, accepted to Physics Letters B
|
hep-th math.QA
| null |
It is shown that the violation of unitarity observed in space/time
noncommutative field theories is due to an improper definition of quantum field
theory on noncommutative spacetime.
|
[
{
"created": "Mon, 28 Jan 2002 14:55:02 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2002 10:46:09 GMT",
"version": "v2"
}
] |
2009-01-27
|
[
[
"Bahns",
"D.",
""
],
[
"Doplicher",
"S.",
""
],
[
"Fredenhagen",
"K.",
""
],
[
"Piacitelli",
"G.",
""
]
] |
It is shown that the violation of unitarity observed in space/time noncommutative field theories is due to an improper definition of quantum field theory on noncommutative spacetime.
|
hep-th/9802072
|
Mahmut Hortacsu
|
M. Hortacsu and K. Ulker
|
Gravitational shock waves and vacuum fluctuations
|
Submitted to Class. and Quant. Grav.,7 pages, no figures
|
Class.Quant.Grav. 15 (1998) 1415-1420
|
10.1088/0264-9381/15/5/022
| null |
hep-th
| null |
We show that the vacuum expectation value of the stress-energy tensor of a
scalar particle on the background of a spherical gravitational shock wave does
not give a finite expression in second order perturbation theory, contrary to
the case seen for the impulsive wave. No infrared divergences appear at this
order. This result shows that there is a qualitative difference between the
shock and impulsive wave solutions which is not exhibited in first order.
|
[
{
"created": "Wed, 11 Feb 1998 13:29:03 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Hortacsu",
"M.",
""
],
[
"Ulker",
"K.",
""
]
] |
We show that the vacuum expectation value of the stress-energy tensor of a scalar particle on the background of a spherical gravitational shock wave does not give a finite expression in second order perturbation theory, contrary to the case seen for the impulsive wave. No infrared divergences appear at this order. This result shows that there is a qualitative difference between the shock and impulsive wave solutions which is not exhibited in first order.
|
0906.4070
|
Andreas Fring
|
Olalla A. Castro-Alvaredo and Andreas Fring
|
A spin chain model with non-Hermitian interaction: The Ising quantum
spin chain in an imaginary field
|
34 pages, 6 figures, reference added, minor corrections
|
J.Phys.A42:465211,2009
|
10.1088/1751-8113/42/46/465211
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a lattice version of the Yang-Lee model which is characterized
by a non-Hermitian quantum spin chain Hamiltonian. We propose a new way to
implement PT-symmetry on the lattice, which serves to guarantee the reality of
the spectrum in certain regions of values of the coupling constants. In that
region of unbroken PT-symmetry we construct a Dyson map, a metric operator and
find the Hermitian counterpart of the Hamiltonian for small values of the
number of sites, both exactly and perturbatively. Besides the standard
perturbation theory about the Hermitian part of the Hamiltonian, we also carry
out an expansion in the second coupling constant of the model. Our
constructions turns out to be unique with the sole assumption that the Dyson
map is Hermitian. Finally we compute the magnetization of the chain in the z
and x direction.
|
[
{
"created": "Mon, 22 Jun 2009 17:10:29 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2009 18:48:52 GMT",
"version": "v2"
}
] |
2009-11-05
|
[
[
"Castro-Alvaredo",
"Olalla A.",
""
],
[
"Fring",
"Andreas",
""
]
] |
We investigate a lattice version of the Yang-Lee model which is characterized by a non-Hermitian quantum spin chain Hamiltonian. We propose a new way to implement PT-symmetry on the lattice, which serves to guarantee the reality of the spectrum in certain regions of values of the coupling constants. In that region of unbroken PT-symmetry we construct a Dyson map, a metric operator and find the Hermitian counterpart of the Hamiltonian for small values of the number of sites, both exactly and perturbatively. Besides the standard perturbation theory about the Hermitian part of the Hamiltonian, we also carry out an expansion in the second coupling constant of the model. Our constructions turns out to be unique with the sole assumption that the Dyson map is Hermitian. Finally we compute the magnetization of the chain in the z and x direction.
|
1008.2779
|
Ruggero Ferrari
|
Ruggero Ferrari
|
A Symmetric Approach to the Massive Nonlinear Sigma Model
|
20 pages
| null |
10.1063/1.3640796
|
MIT-CTP-4167, IFUM-961-FT
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper we extend to the massive case the procedure of
divergences subtraction, previously introduced for the massless nonlinear sigma
model (D=4). Perturbative expansion in the number of loops is successfully
constructed. The resulting theory depends on the Spontaneous Symmetry Breaking
parameter v, on the mass m and on the radiative correction parameter \Lambda.
Fermions are not considered in the present work. SU(2) X SU(2) is the group
used.
|
[
{
"created": "Mon, 16 Aug 2010 21:44:58 GMT",
"version": "v1"
}
] |
2015-05-19
|
[
[
"Ferrari",
"Ruggero",
""
]
] |
In the present paper we extend to the massive case the procedure of divergences subtraction, previously introduced for the massless nonlinear sigma model (D=4). Perturbative expansion in the number of loops is successfully constructed. The resulting theory depends on the Spontaneous Symmetry Breaking parameter v, on the mass m and on the radiative correction parameter \Lambda. Fermions are not considered in the present work. SU(2) X SU(2) is the group used.
|
1203.0391
|
Hiroyuki Kitamoto
|
Hiroyuki Kitamoto, Yoshihisa Kitazawa
|
Soft Gravitons Screen Couplings in de Sitter Space
|
32pages, 1 figure
|
Phys.Rev. D87 (2013) 124007
|
10.1103/PhysRevD.87.124007
|
KEK-TH-1525
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The scale invariance of the quantum fluctuations in de Sitter space leads to
the appearance of de Sitter symmetry breaking infra-red logarithms in the
graviton propagator. We investigate physical effects of soft gravitons on the
local dynamics of matter fields well inside the cosmological horizon. We show
that the IR logarithms do not spoil Lorentz invariance in scalar and Dirac
field theory. The leading IR logarithms can be absorbed by a time dependent
wave function renormalization factor in the both cases. In the interacting
field theory with $\lambda \phi^4$ and Yukawa interaction, we find that the
couplings become time dependent with definite scaling exponents. We argue that
the relative scaling exponents of the couplings are gauge invariant and
physical as we can use the evolution of a coupling as a physical time.
|
[
{
"created": "Fri, 2 Mar 2012 08:40:20 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2013 08:07:46 GMT",
"version": "v2"
}
] |
2013-06-14
|
[
[
"Kitamoto",
"Hiroyuki",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] |
The scale invariance of the quantum fluctuations in de Sitter space leads to the appearance of de Sitter symmetry breaking infra-red logarithms in the graviton propagator. We investigate physical effects of soft gravitons on the local dynamics of matter fields well inside the cosmological horizon. We show that the IR logarithms do not spoil Lorentz invariance in scalar and Dirac field theory. The leading IR logarithms can be absorbed by a time dependent wave function renormalization factor in the both cases. In the interacting field theory with $\lambda \phi^4$ and Yukawa interaction, we find that the couplings become time dependent with definite scaling exponents. We argue that the relative scaling exponents of the couplings are gauge invariant and physical as we can use the evolution of a coupling as a physical time.
|
hep-th/0205152
|
Jelper Striet
|
F.A.Bais and J.Striet
|
On a core instability of 't Hooft Polyakov monopoles
|
7 pages, 4 figures
|
Phys.Lett.B540:319-323,2002
|
10.1016/S0370-2693(02)02152-4
|
ITFA 2002-17
|
hep-th
| null |
We discuss a core instability of 't Hooft Polyakov monopoles in Alice
electrodynamics type of models in which charge conjugation symmetry is gauged.
The monopole may deform into a toroidal defect which carries an Alice flux and
a (non-localizable) magnetic Cheshire charge.
|
[
{
"created": "Wed, 15 May 2002 15:39:34 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Bais",
"F. A.",
""
],
[
"Striet",
"J.",
""
]
] |
We discuss a core instability of 't Hooft Polyakov monopoles in Alice electrodynamics type of models in which charge conjugation symmetry is gauged. The monopole may deform into a toroidal defect which carries an Alice flux and a (non-localizable) magnetic Cheshire charge.
|
1308.3792
|
Jyotirmoy Bhattacharya
|
Jyotirmoy Bhattacharya and Tadashi Takayanagi
|
Entropic Counterpart of Perturbative Einstein Equation
|
21 pages, 4 figures; v2: new reference added
|
JHEP 1310 (2013) 219
|
10.1007/JHEP10(2013)219
|
YITP-13-69, IPMU13-0157
|
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Entanglement entropy in a field theory, with a holographic dual, may be
viewed as a quantity which encodes the diffeomorphism invariant bulk gravity
dynamics. This, in particular, indicates that the bulk Einstein equations would
imply some constraints for the boundary entanglement entropy. In this paper we
focus on the change in entanglement entropy, for small but arbitrary
fluctuations about a given state, and analyze the constraints imposed on it by
the perturbative Einstein equations, linearized about the corresponding bulk
state. Specifically, we consider linear fluctuations about BTZ black hole in 3
dimension, pure AdS and AdS Schwarzschild black holes in 4 dimensions and
obtain a diffeomorphism invariant reformulation of linearized Einstein equation
in terms of holographic entanglement entropy. We will also show that
entanglement entropy for boosted subsystems provides the information about all
the components of the metric with a time index.
|
[
{
"created": "Sat, 17 Aug 2013 15:19:04 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Oct 2013 00:07:38 GMT",
"version": "v2"
}
] |
2014-10-31
|
[
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
Entanglement entropy in a field theory, with a holographic dual, may be viewed as a quantity which encodes the diffeomorphism invariant bulk gravity dynamics. This, in particular, indicates that the bulk Einstein equations would imply some constraints for the boundary entanglement entropy. In this paper we focus on the change in entanglement entropy, for small but arbitrary fluctuations about a given state, and analyze the constraints imposed on it by the perturbative Einstein equations, linearized about the corresponding bulk state. Specifically, we consider linear fluctuations about BTZ black hole in 3 dimension, pure AdS and AdS Schwarzschild black holes in 4 dimensions and obtain a diffeomorphism invariant reformulation of linearized Einstein equation in terms of holographic entanglement entropy. We will also show that entanglement entropy for boosted subsystems provides the information about all the components of the metric with a time index.
|
1307.1290
|
Daniel Butter
|
Daniel Butter and Sergei M. Kuzenko
|
Nonlocal action for the super-Weyl anomalies: A new representation
|
15 pages; v4: published version
|
JHEP 1309 (2013) 067
|
10.1007/JHEP09(2013)067
|
Nikhef-2013-022
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the recently discovered N=1 supersymmetric extension of the conformal
fourth-order scalar operator (introduced originally by Fradkin and Tseytlin and
also known as the "Paneitz operator" or "Riegert operator"), we derive a new
representation for the nonlocal action generating the super-Weyl anomalies.
|
[
{
"created": "Thu, 4 Jul 2013 12:00:47 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2013 13:00:26 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Aug 2013 20:43:57 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Sep 2013 15:04:34 GMT",
"version": "v4"
}
] |
2013-09-18
|
[
[
"Butter",
"Daniel",
""
],
[
"Kuzenko",
"Sergei M.",
""
]
] |
Using the recently discovered N=1 supersymmetric extension of the conformal fourth-order scalar operator (introduced originally by Fradkin and Tseytlin and also known as the "Paneitz operator" or "Riegert operator"), we derive a new representation for the nonlocal action generating the super-Weyl anomalies.
|
hep-th/9612115
|
Asato Tsuchiya
|
N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya
|
A Large-N Reduced Model as Superstring
|
29 pages, Latex, a footnote and references added, eq.(3.52)
corrected, minor corrections
|
Nucl.Phys. B498 (1997) 467-491
|
10.1016/S0550-3213(97)00290-3
|
KEK-TH-503, TIT/HEP-357
|
hep-th
| null |
A matrix model which has the manifest ten-dimensional N=2 super Poincare
invariance is proposed. Interactions between BPS-saturated states are analyzed
to show that massless spectrum is the same as that of type IIB string theory.
It is conjectured that the large-N reduced model of ten-dimensional super
Yang-Mills theory can be regarded as a constructive definition of this model
and therefore is equivalent to superstring theory.
|
[
{
"created": "Wed, 11 Dec 1996 08:38:56 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Dec 1996 16:06:34 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ishibashi",
"N.",
""
],
[
"Kawai",
"H.",
""
],
[
"Kitazawa",
"Y.",
""
],
[
"Tsuchiya",
"A.",
""
]
] |
A matrix model which has the manifest ten-dimensional N=2 super Poincare invariance is proposed. Interactions between BPS-saturated states are analyzed to show that massless spectrum is the same as that of type IIB string theory. It is conjectured that the large-N reduced model of ten-dimensional super Yang-Mills theory can be regarded as a constructive definition of this model and therefore is equivalent to superstring theory.
|
hep-th/9708132
|
Tamas Hauer
|
T. Hauer
|
Systematic proof of the existence of Yangian symmetry in chiral
Gross-Neveu models
|
12 pages, LaTeX
|
Phys.Lett. B417 (1998) 297-302
|
10.1016/S0370-2693(97)01431-7
|
ITP Budapest Report No. 534
|
hep-th
| null |
The existence of non-local charges, generating a Yangian symmetry is
discussed in generalized chiral Gross-Neveu models. Their conservation can be
proven by a finite-loop perturbative computation, the order of which is
determined from group theoretic constants and is independent of the number of
flavors. Examples, where the 1-loop calculation is sufficient, include the
SO(n)-models and other more exotic groups and representations.
|
[
{
"created": "Mon, 25 Aug 1997 19:01:56 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Nov 1997 22:34:51 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Hauer",
"T.",
""
]
] |
The existence of non-local charges, generating a Yangian symmetry is discussed in generalized chiral Gross-Neveu models. Their conservation can be proven by a finite-loop perturbative computation, the order of which is determined from group theoretic constants and is independent of the number of flavors. Examples, where the 1-loop calculation is sufficient, include the SO(n)-models and other more exotic groups and representations.
|
hep-th/0308020
|
Jussi Kalkkinen
|
Roland Friedrich and Jussi Kalkkinen
|
On Conformal Field Theory and Stochastic Loewner Evolution
|
24 pages, 4 figures, LaTeX; v2: added section 4.1, references and
minor clarifications, version to appear in NPB
|
Nucl.Phys. B687 (2004) 279-302
|
10.1016/j.nuclphysb.2004.03.025
|
IHES/P/03/28, Imperial/TP/2-03/30
|
hep-th math-ph math.MP
| null |
We describe Stochastic Loewner Evolution on arbitrary Riemann surfaces with
boundary using Conformal Field Theory methods. We propose in particular a CFT
construction for a probability measure on (clouded) paths, and check it against
known restriction properties. The probability measure can be thought of as a
section of the determinant bundle over moduli spaces of Riemann surfaces.
Loewner evolutions have a natural description in terms of random walk in the
moduli space, and the stochastic diffusion equation translates to the Virasoro
action of a certain weight-two operator on a uniformised version of the
determinant bundle.
|
[
{
"created": "Mon, 4 Aug 2003 10:04:22 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Mar 2004 18:28:09 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Friedrich",
"Roland",
""
],
[
"Kalkkinen",
"Jussi",
""
]
] |
We describe Stochastic Loewner Evolution on arbitrary Riemann surfaces with boundary using Conformal Field Theory methods. We propose in particular a CFT construction for a probability measure on (clouded) paths, and check it against known restriction properties. The probability measure can be thought of as a section of the determinant bundle over moduli spaces of Riemann surfaces. Loewner evolutions have a natural description in terms of random walk in the moduli space, and the stochastic diffusion equation translates to the Virasoro action of a certain weight-two operator on a uniformised version of the determinant bundle.
|
hep-th/9308014
|
Pietrino
|
Pietro Donatis and Roberto Iengo
|
Comment On Vortices In Chern-Simons And Maxwell Electrodynamics
|
10 pages, Plain Tex
|
Phys. Lett. B320 (1994) 64-68
|
10.1016/0370-2693(94)90824-9
|
SISSA/129/93/EP
|
hep-th cond-mat
| null |
We compare the vortex-like solutions of two different theories in (2+1)
dimensions. In the first a nonrelativistic field self-interacts through a
Chern-Simons gauge connection. It is $P$ and $T$ violating. The second is the
standard Maxwell scalar electrodynamics. We show that for specific values of
some parameters the same vortex-configurations provide solutions for both
theories.
|
[
{
"created": "Thu, 5 Aug 1993 10:42:15 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Donatis",
"Pietro",
""
],
[
"Iengo",
"Roberto",
""
]
] |
We compare the vortex-like solutions of two different theories in (2+1) dimensions. In the first a nonrelativistic field self-interacts through a Chern-Simons gauge connection. It is $P$ and $T$ violating. The second is the standard Maxwell scalar electrodynamics. We show that for specific values of some parameters the same vortex-configurations provide solutions for both theories.
|
hep-th/0011044
|
Leonardo Rastelli
|
Leonardo Rastelli and Mark Van Raamsdonk
|
A note on dilaton absorption and near-infrared D3 brane holography
|
13 pages, LaTeX
|
JHEP 0012 (2000) 005
|
10.1088/1126-6708/2000/12/005
|
PUPT-1967, SU-ITP 00-26
|
hep-th
| null |
We consider the first subleading terms in the low-energy cross section for
the absorption of dilaton partial waves by D3-branes. We demonstrate that these
corrections, computed previously via supergravity, can be reproduced exactly in
a worldvolume calculation using a deformation of N=4 SYM theory by a dimension
eight chiral operator. The calculation does not depend on how the theory is
regularized. This result provides another hint that holographic duality between
the D3-brane worldvolume theory and the corresponding supergravity solution may
be valid beyond the near horizon limit.
|
[
{
"created": "Wed, 8 Nov 2000 00:04:41 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Rastelli",
"Leonardo",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] |
We consider the first subleading terms in the low-energy cross section for the absorption of dilaton partial waves by D3-branes. We demonstrate that these corrections, computed previously via supergravity, can be reproduced exactly in a worldvolume calculation using a deformation of N=4 SYM theory by a dimension eight chiral operator. The calculation does not depend on how the theory is regularized. This result provides another hint that holographic duality between the D3-brane worldvolume theory and the corresponding supergravity solution may be valid beyond the near horizon limit.
|
1203.6620
|
Li Li
|
Rong-Gen Cai, Song He, Li Li, Yun-Long Zhang
|
Holographic Entanglement Entropy in Insulator/Superconductor Transition
|
v2: 18 pages, 12 figures, references and figures added, minor
corrections made
|
JHEP 1207 (2012) 088
|
10.1007/JHEP07(2012)088
| null |
hep-th cond-mat.supr-con hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the behaviors of entanglement entropy in the holographical
insulator/superconductor phase transition. We calculate the holographic
entanglement entropy for two kinds of geometry configurations in a completely
back-reacted gravitational background describing the insulator/superconductor
phase transition. The non-monotonic behavior of the entanglement entropy is
found in this system. In the belt geometry case, there exist four phases
characterized by the chemical potential and belt width.
|
[
{
"created": "Thu, 29 Mar 2012 18:27:45 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2012 16:34:54 GMT",
"version": "v2"
}
] |
2012-12-17
|
[
[
"Cai",
"Rong-Gen",
""
],
[
"He",
"Song",
""
],
[
"Li",
"Li",
""
],
[
"Zhang",
"Yun-Long",
""
]
] |
We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted gravitational background describing the insulator/superconductor phase transition. The non-monotonic behavior of the entanglement entropy is found in this system. In the belt geometry case, there exist four phases characterized by the chemical potential and belt width.
|
0901.0337
|
Dmitri Vassilevich
|
D. V. Vassilevich
|
Divergences in the vacuum energy for frequency-dependent interactions
|
14 pages, revtex, v2: clarifications added
|
Phys.Rev.D79:065016,2009
|
10.1103/PhysRevD.79.065016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a method for determining ultra-violet divergences in the vacuum
energy for systems whose spectrum of perturbations is defined through a
non-linear spectrum problem, i.e, when the fluctuation operator itself depends
on the frequency. The method is applied to the plasma shell model, which
describes some properties of the interaction of electromagnetic field with
fullerens. We formulate a scalar model, which simplifies the matrix structure,
but keeps the frequency dependence of the plasma shell, and calculate the
ultra-violet divergences in the case when the plasma sheet is slightly curved.
The divergent terms are expressed in terms of surface integrals of
corresponding invariants.
|
[
{
"created": "Sat, 3 Jan 2009 20:54:55 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jan 2009 20:09:47 GMT",
"version": "v2"
}
] |
2009-03-24
|
[
[
"Vassilevich",
"D. V.",
""
]
] |
We propose a method for determining ultra-violet divergences in the vacuum energy for systems whose spectrum of perturbations is defined through a non-linear spectrum problem, i.e, when the fluctuation operator itself depends on the frequency. The method is applied to the plasma shell model, which describes some properties of the interaction of electromagnetic field with fullerens. We formulate a scalar model, which simplifies the matrix structure, but keeps the frequency dependence of the plasma shell, and calculate the ultra-violet divergences in the case when the plasma sheet is slightly curved. The divergent terms are expressed in terms of surface integrals of corresponding invariants.
|
2004.13755
|
Kazuyuki Furuuchi
|
Kazuyuki Furuuchi, Noel Jonathan Jobu, Suvedha Suresh Naik
|
Extra-Natural Inflation (De)constructed
|
1+36 pages, 21 figure files v2: minor corrections. ref added
| null | null | null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Extra-natural inflation is (de)constructed. Explicit models are compared with
cosmological observations. The models successfully achieve trans-Planckian
inflaton field excursions.
|
[
{
"created": "Tue, 28 Apr 2020 18:06:39 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2020 15:45:35 GMT",
"version": "v2"
}
] |
2020-05-12
|
[
[
"Furuuchi",
"Kazuyuki",
""
],
[
"Jobu",
"Noel Jonathan",
""
],
[
"Naik",
"Suvedha Suresh",
""
]
] |
Extra-natural inflation is (de)constructed. Explicit models are compared with cosmological observations. The models successfully achieve trans-Planckian inflaton field excursions.
|
1107.2041
|
Adel Rezaei-Aghdam
|
A. Eghbali and A. Rezaei-Aghdam
|
String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
|
17 pages, Appendix and three references have added
|
JHEP 01 (2012) 151
|
10.1007/JHEP01(2012)151
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize the formulation of Poisson-Lie T-dual sigma models on manifolds
to supermanifolds. In this respect, we formulate 1+1 dimensional string
cosmological models on the Lie supergroup C^3 and its dual (A_1,1 +
2A)^0_(1,0,0), which are coupled to two fermionic fields. Then, we solve the
equations of motion of the models and show that there is a essential
singularity for the metric of the original model and its dual.
|
[
{
"created": "Mon, 11 Jul 2011 14:34:20 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Nov 2011 13:27:47 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Feb 2012 13:55:17 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"Eghbali",
"A.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
]
] |
We generalize the formulation of Poisson-Lie T-dual sigma models on manifolds to supermanifolds. In this respect, we formulate 1+1 dimensional string cosmological models on the Lie supergroup C^3 and its dual (A_1,1 + 2A)^0_(1,0,0), which are coupled to two fermionic fields. Then, we solve the equations of motion of the models and show that there is a essential singularity for the metric of the original model and its dual.
|
1512.05945
|
Cornelius Schmidt-Colinet
|
Enrico M. Brehm, Ilka Brunner, Daniel Jaud, Cornelius Schmidt-Colinet
|
Entanglement and topological interfaces
|
30 pages, 2 figures. References added, typos corrected
| null |
10.1002/prop.201600024
|
LMU-ASC 76/15
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider entanglement entropies in two-dimensional conformal
field theories in the presence of topological interfaces. Tracing over one side
of the interface, the leading term of the entropy remains unchanged. The
interface however adds a subleading contribution, which can be interpreted as a
relative (Kullback-Leibler) entropy with respect to the situation with no
defect inserted. Reinterpreting boundaries as topological interfaces of a
chiral half of the full theory, we rederive the left/right entanglement entropy
in analogy with the interface case. We discuss WZW models and toroidal bosonic
theories as examples.
|
[
{
"created": "Fri, 18 Dec 2015 13:31:28 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Feb 2016 12:37:10 GMT",
"version": "v2"
}
] |
2016-11-03
|
[
[
"Brehm",
"Enrico M.",
""
],
[
"Brunner",
"Ilka",
""
],
[
"Jaud",
"Daniel",
""
],
[
"Schmidt-Colinet",
"Cornelius",
""
]
] |
In this paper we consider entanglement entropies in two-dimensional conformal field theories in the presence of topological interfaces. Tracing over one side of the interface, the leading term of the entropy remains unchanged. The interface however adds a subleading contribution, which can be interpreted as a relative (Kullback-Leibler) entropy with respect to the situation with no defect inserted. Reinterpreting boundaries as topological interfaces of a chiral half of the full theory, we rederive the left/right entanglement entropy in analogy with the interface case. We discuss WZW models and toroidal bosonic theories as examples.
|
1404.3159
|
Veselin Filev
|
Veselin G. Filev, Matthias Ihl, Dimitrios Zoakos
|
Holographic Bilayer/Monolayer Phase Transitions
|
24 pages, 8 figures
| null |
10.1007/JHEP07(2014)043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present work, we discuss the phase structure of bilayer and monolayer
phases in the (2+1)-dimensional defect field theory whose gravity dual is
obtained by embedding D5/anti-D5 probe flavour branes in the singular conifold.
We study in detail the embedding equations and compare the free energies of the
resulting configurations at non-zero temperature and external magnetic field
perpendicular to the defects. Moreover, we analyse the meson spectrum and
confirm the stability of the single bilayer solution.
|
[
{
"created": "Fri, 11 Apr 2014 17:19:47 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Filev",
"Veselin G.",
""
],
[
"Ihl",
"Matthias",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] |
In the present work, we discuss the phase structure of bilayer and monolayer phases in the (2+1)-dimensional defect field theory whose gravity dual is obtained by embedding D5/anti-D5 probe flavour branes in the singular conifold. We study in detail the embedding equations and compare the free energies of the resulting configurations at non-zero temperature and external magnetic field perpendicular to the defects. Moreover, we analyse the meson spectrum and confirm the stability of the single bilayer solution.
|
hep-th/9705171
|
Renat Zhdanov
|
Renat Zhdanov (Institute of Mathematics, Kyiv.)
|
On quasi-exactly solvable matrix models
|
8 pages, LaTeX
|
Phys.Lett. B405 (1997) 253-256
|
10.1016/S0370-2693(97)00655-2
| null |
hep-th
| null |
An efficient procedure for constructing quasi-exactly solvable matrix models
is suggested. It is based on the fact that the representation spaces of
representations of the algebra sl(2,R) within the class of first-order matrix
differential operators contain finite dimensional invariant subspaces.
|
[
{
"created": "Thu, 22 May 1997 16:00:46 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Zhdanov",
"Renat",
"",
"Institute of Mathematics, Kyiv."
]
] |
An efficient procedure for constructing quasi-exactly solvable matrix models is suggested. It is based on the fact that the representation spaces of representations of the algebra sl(2,R) within the class of first-order matrix differential operators contain finite dimensional invariant subspaces.
|
2204.08785
|
Jochen Zahn
|
Maria Angeles Alberti Martin, Robert Schlesier, Jochen Zahn
|
The semiclassical energy density of kinks and solitons
|
20 pages; Mathematica notebooks containing the relevant calculations
as ancillary files; v3: final version
|
Phys. Rev. D 107 (2023) 065002
|
10.1103/PhysRevD.107.065002
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute semiclassical corrections to the energy density of kinks in
$\phi^4$ theory and of solitons in the sine-Gordon model in $1+1$ dimensions,
using local and covariant renormalization techniques from quantum field theory
in curved spacetimes. For the semiclassical correction to the energy, we
recover the known results. Our analysis highlights a subtlety in the definition
of a conserved stress tensor for scalar field theories in $1+1$ dimension.
|
[
{
"created": "Tue, 19 Apr 2022 10:07:45 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2022 10:45:58 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Mar 2023 08:48:59 GMT",
"version": "v3"
}
] |
2023-03-06
|
[
[
"Martin",
"Maria Angeles Alberti",
""
],
[
"Schlesier",
"Robert",
""
],
[
"Zahn",
"Jochen",
""
]
] |
We compute semiclassical corrections to the energy density of kinks in $\phi^4$ theory and of solitons in the sine-Gordon model in $1+1$ dimensions, using local and covariant renormalization techniques from quantum field theory in curved spacetimes. For the semiclassical correction to the energy, we recover the known results. Our analysis highlights a subtlety in the definition of a conserved stress tensor for scalar field theories in $1+1$ dimension.
|
1809.03806
|
Jianxin Lu
|
Qiang Jia and J. X. Lu
|
Remark on the open string pair production enhancement
|
14 pages, 0 figures
| null |
10.1016/j.physletb.2018.12.069
|
USTC-ICTS-18-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent studies by one of the present authors along with his collaborators in
[1-4] show that there exist the so-called open string pair production for a
possible simplest system of two Dp branes, placed parallel at a separation and
with each carrying different electric flux, in Type II superstring theories.
Further this pair production can be greatly enhanced when a magnetic flux,
sharing no common field strength index with the electric one, is added,
implying then $p \ge 3$. Given this, one may wonder if further enhancement can
be achieved by adding more magnetic flux(es) in a similar fashion. In this
paper, we explore this possibility. It turns out that adding more such magnetic
flux diminishes rather than enhances the pair production rate. This actually
implies that the largest enhancement occurs at $p = 3$ when the same realistic
electric and magnetic fluxes are applied for all $p \ge 3$. Curiously one of D3
branes may be our own world and if so, the enhancement gives a possible
opportunity to detect the pair production, therefore to test the underlying
string theories.
|
[
{
"created": "Tue, 11 Sep 2018 12:08:05 GMT",
"version": "v1"
}
] |
2019-01-09
|
[
[
"Jia",
"Qiang",
""
],
[
"Lu",
"J. X.",
""
]
] |
Recent studies by one of the present authors along with his collaborators in [1-4] show that there exist the so-called open string pair production for a possible simplest system of two Dp branes, placed parallel at a separation and with each carrying different electric flux, in Type II superstring theories. Further this pair production can be greatly enhanced when a magnetic flux, sharing no common field strength index with the electric one, is added, implying then $p \ge 3$. Given this, one may wonder if further enhancement can be achieved by adding more magnetic flux(es) in a similar fashion. In this paper, we explore this possibility. It turns out that adding more such magnetic flux diminishes rather than enhances the pair production rate. This actually implies that the largest enhancement occurs at $p = 3$ when the same realistic electric and magnetic fluxes are applied for all $p \ge 3$. Curiously one of D3 branes may be our own world and if so, the enhancement gives a possible opportunity to detect the pair production, therefore to test the underlying string theories.
|
hep-th/9205002
|
Toshiya Kawai
|
H. Awata and Y. Yamada
|
Fusion Rules for the q-deformed Vertex Operators of U_q(sl(2)^)
|
13 pages
|
Mod. Phys. Lett. A7 (1992) 2235-2244
|
10.1142/S0217732392002007
| null |
hep-th
| null |
We analyze the properties of the q-vertex operators of U_q(sl(2)^) introduced
by Frenkel and Reshetikhin. As the condition for the null vector decoupling, we
derive the existence condition of the q-vertex operators ( the fusion rules ).
|
[
{
"created": "Fri, 1 May 1992 13:14:22 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Awata",
"H.",
""
],
[
"Yamada",
"Y.",
""
]
] |
We analyze the properties of the q-vertex operators of U_q(sl(2)^) introduced by Frenkel and Reshetikhin. As the condition for the null vector decoupling, we derive the existence condition of the q-vertex operators ( the fusion rules ).
|
1004.2579
|
Peter Bantay
|
Peter Bantay
|
Modular differential equations for characters of RCFT
|
13 pages
|
JHEP 1006:021,2010
|
10.1007/JHEP06(2010)021
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss methods, based on the theory of vector-valued modular forms, to
determine all modular differential equations satisfied by the conformal
characters of RCFT; these modular equations are related to the null vector
relations of the operator algebra. Besides describing effective algorithmic
procedures, we illustrate our methods on an explicit example.
|
[
{
"created": "Thu, 15 Apr 2010 08:58:11 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 2010 09:26:29 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Bantay",
"Peter",
""
]
] |
We discuss methods, based on the theory of vector-valued modular forms, to determine all modular differential equations satisfied by the conformal characters of RCFT; these modular equations are related to the null vector relations of the operator algebra. Besides describing effective algorithmic procedures, we illustrate our methods on an explicit example.
|
1608.04407
|
Sumit Das
|
Sumit R. Das
|
Old and New Scaling Laws in Quantum Quench
|
Talk at Nambu Symposium, University of Chicago, March 11-13,2016. 34
pages, 9 figures. Typos corrected, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The response of a many body system to a time dependent coupling which passes
through or approaches a critical point displays universal scaling behavior. In
some regimes, scaling laws have been known since the 1970's. Recently
holographic techniques have been used to understand the origins of such
scaling. Along the way, new scaling behaviors in other regimes have been found
in holographic models, which have later been shown to hold in a generic field
theory regardless of holography. This contribution summarizes recent work on
these various scaling regimes.
|
[
{
"created": "Mon, 15 Aug 2016 21:02:59 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Oct 2016 15:35:42 GMT",
"version": "v2"
}
] |
2016-10-13
|
[
[
"Das",
"Sumit R.",
""
]
] |
The response of a many body system to a time dependent coupling which passes through or approaches a critical point displays universal scaling behavior. In some regimes, scaling laws have been known since the 1970's. Recently holographic techniques have been used to understand the origins of such scaling. Along the way, new scaling behaviors in other regimes have been found in holographic models, which have later been shown to hold in a generic field theory regardless of holography. This contribution summarizes recent work on these various scaling regimes.
|
1506.01046
|
Rodolfo Casana R. Casana
|
Rodolfo Casana, Lucas Sourrouille
|
Self-dual configurations in a generalized Abelian Chern-Simons-Higgs
model with explicit breaking of the Lorentz covariance
|
7 Latex 2e pages, 5 .eps figures
|
Advances in High Energy Physics Volume 2016, Article ID 5315649
|
10.1155/2016/5315649
| null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have studied the existence of self-dual solitonic solutions in a
generalization of the Abelian Chern-Simons-Higgs model. Such a generalization
introduces two different nonnegative functions, $\omega_1(|\phi|)$ and
$\omega(|\phi|)$, which split the kinetic term of the Higgs field -
$|D_\mu\phi|^2 \rightarrow\omega_1 (|\phi|)|D_0\phi|^2-\omega(|\phi|)
|D_k\phi|^2$ - breaking explicitly the Lorentz covariance. We have shown that a
clean implementation of the Bogomolnyi procedure only can be implemented
whether $\omega(|\phi|) \propto \beta |\phi|^{2\beta-2}$ with $\beta\geq 1$.
The self-dual or Bogomolnyi equations produce an infinity number of soliton
solutions by choosing conveniently the generalizing function $\omega_1(|\phi|)$
which must be able to provide a finite magnetic field. Also, we have shown that
by properly choosing the generalizing functions it is possible to reproduce the
Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs
models. Finally, some new self-dual $|\phi|^6$-vortex solutions have been
analyzed both from theoretical and numerical point of view.
|
[
{
"created": "Tue, 2 Jun 2015 20:29:30 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Sep 2015 21:00:58 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Oct 2015 05:17:59 GMT",
"version": "v3"
},
{
"created": "Wed, 10 Feb 2016 14:54:12 GMT",
"version": "v4"
},
{
"created": "Wed, 21 Sep 2016 03:00:36 GMT",
"version": "v5"
}
] |
2016-09-22
|
[
[
"Casana",
"Rodolfo",
""
],
[
"Sourrouille",
"Lucas",
""
]
] |
We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions, $\omega_1(|\phi|)$ and $\omega(|\phi|)$, which split the kinetic term of the Higgs field - $|D_\mu\phi|^2 \rightarrow\omega_1 (|\phi|)|D_0\phi|^2-\omega(|\phi|) |D_k\phi|^2$ - breaking explicitly the Lorentz covariance. We have shown that a clean implementation of the Bogomolnyi procedure only can be implemented whether $\omega(|\phi|) \propto \beta |\phi|^{2\beta-2}$ with $\beta\geq 1$. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function $\omega_1(|\phi|)$ which must be able to provide a finite magnetic field. Also, we have shown that by properly choosing the generalizing functions it is possible to reproduce the Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs models. Finally, some new self-dual $|\phi|^6$-vortex solutions have been analyzed both from theoretical and numerical point of view.
|
2112.08401
|
Arshia Momeni
|
Mariana Carrillo Gonz\'alez, Arshia Momeni, Justinas Rumbutis
|
Massive Double Copy in the High-Energy Limit
|
Published version
| null | null |
Imperial/TP/2021/MC/04
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The exploration of the massive double copy is still in its infancy, and only
a few examples in limited contexts are known. In this paper, we analyze the
newly discovered double copy for topologically massive theories beyond
tree-level amplitudes in the high-energy (eikonal) limit. We find that contrary
to the simple double copy relation that occurs in the massless $d\geq4$ case,
the massive double copy requires information outside the eikonal limit to give
correct results. However, a simple double copy relation arises for the phase
shift. Additionally, we relate the eikonal amplitudes to the corresponding
shockwave backgrounds and find a classical double copy relation that is
manifest only for the appropriate choice of boundary conditions. This analysis
hints towards the existence of a topologically massive double copy at all loop
orders.
|
[
{
"created": "Wed, 15 Dec 2021 19:00:22 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2022 14:49:30 GMT",
"version": "v2"
}
] |
2022-04-12
|
[
[
"González",
"Mariana Carrillo",
""
],
[
"Momeni",
"Arshia",
""
],
[
"Rumbutis",
"Justinas",
""
]
] |
The exploration of the massive double copy is still in its infancy, and only a few examples in limited contexts are known. In this paper, we analyze the newly discovered double copy for topologically massive theories beyond tree-level amplitudes in the high-energy (eikonal) limit. We find that contrary to the simple double copy relation that occurs in the massless $d\geq4$ case, the massive double copy requires information outside the eikonal limit to give correct results. However, a simple double copy relation arises for the phase shift. Additionally, we relate the eikonal amplitudes to the corresponding shockwave backgrounds and find a classical double copy relation that is manifest only for the appropriate choice of boundary conditions. This analysis hints towards the existence of a topologically massive double copy at all loop orders.
|
1404.7645
|
Albrecht Klemm
|
Nana Cabo Bizet, Albrecht Klemm, Daniel Vieira Lopes
|
Landscaping with fluxes and the E8 Yukawa Point in F-theory
|
150 pages
| null | null |
BONN-TH-2013-21
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Integrality in the Hodge theory of Calabi-Yau fourfolds is essential to find
the vacuum structure and the anomaly cancellation mechanism of four dimensional
F-theory compactifications. We use the Griffiths-Frobenius geometry and
homological mirror symmetry to fix the integral monodromy basis in the
primitive horizontal subspace of Calabi-Yau fourfolds. The Gamma class and
supersymmetric localization calculations in the 2d gauged linear sigma model on
the hemisphere are used to check and extend this method. The result allows us
to study the superpotential and the Weil-Petersson metric and an associated tt*
structure over the full complex moduli space of compact fourfolds for the first
time. We show that integral fluxes can drive the theory to N=1 supersymmetric
vacua at orbifold points and argue that fluxes can be chosen that fix the
complex moduli of F-theory compactifications at gauge enhancements including
such with U(1) factors. Given the mechanism it is natural to start with the
most generic complex structure families of elliptic Calabi-Yau 4-fold
fibrations over a given base. We classify these families in toric ambient
spaces and among them the ones with heterotic duals. The method also applies to
the creating of matter and Yukawa structures in F-theory. We construct two
SU(5) models in F-theory with a Yukawa point that have a point on the base with
an $E_8$-type singularity on the fiber and explore their embeddings in the
global models. The explicit resolution of the singularity introduce a higher
dimensional fiber and leads to novel features.
|
[
{
"created": "Wed, 30 Apr 2014 09:23:50 GMT",
"version": "v1"
}
] |
2014-05-01
|
[
[
"Bizet",
"Nana Cabo",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Lopes",
"Daniel Vieira",
""
]
] |
Integrality in the Hodge theory of Calabi-Yau fourfolds is essential to find the vacuum structure and the anomaly cancellation mechanism of four dimensional F-theory compactifications. We use the Griffiths-Frobenius geometry and homological mirror symmetry to fix the integral monodromy basis in the primitive horizontal subspace of Calabi-Yau fourfolds. The Gamma class and supersymmetric localization calculations in the 2d gauged linear sigma model on the hemisphere are used to check and extend this method. The result allows us to study the superpotential and the Weil-Petersson metric and an associated tt* structure over the full complex moduli space of compact fourfolds for the first time. We show that integral fluxes can drive the theory to N=1 supersymmetric vacua at orbifold points and argue that fluxes can be chosen that fix the complex moduli of F-theory compactifications at gauge enhancements including such with U(1) factors. Given the mechanism it is natural to start with the most generic complex structure families of elliptic Calabi-Yau 4-fold fibrations over a given base. We classify these families in toric ambient spaces and among them the ones with heterotic duals. The method also applies to the creating of matter and Yukawa structures in F-theory. We construct two SU(5) models in F-theory with a Yukawa point that have a point on the base with an $E_8$-type singularity on the fiber and explore their embeddings in the global models. The explicit resolution of the singularity introduce a higher dimensional fiber and leads to novel features.
|
1610.01490
|
Dongmin Jang
|
Dongmin Jang, Yoonbai Kim, O-Kab Kwon, D. D. Tolla
|
Exact Holography of the Mass-deformed M2-brane Theory
|
6 pages, major corrections in section 3 and 4, references added,
title changed
| null |
10.1140/epjc/s10052-017-4909-3
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We test the holographic relation between the vacuum expectation values of
gauge invariant operators in ${\cal N} = 6$ ${\rm U}_k(N)\times {\rm
U}_{-k}(N)$ mass-deformed ABJM theory and the LLM geometries with
$\mathbb{Z}_k$ orbifold in 11-dimensional supergravity. To do that, we apply
the Kaluza-Klein reduction to construct a 4-dimensional gravity theory and
implement the holographic renormalization procedure. We obtain an exact
holographic relation for the vacuum expectation values of the chiral primary
operator with conformal dimension $\Delta = 1$, which is given by $\langle
{\cal O}^{(\Delta=1)}\rangle= N^{\frac32} \, f_{(\Delta=1)}$, for large $N$ and
$k=1$. Here factor $f_{(\Delta)}$ is independent of $N$. Our results involve
infinite number of exact dual relations for all possible supersymmetric Higgs
vacua and so provide a nontrivial test of gauge/gravity duality away from the
conformal fixed point. We also extend our results to the case of $k\ne 1$ for
LLM geometries represented by rectangular-shaped Young-diagrams.
|
[
{
"created": "Wed, 5 Oct 2016 15:56:58 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Oct 2016 18:12:11 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Oct 2016 07:32:37 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Mar 2017 08:23:26 GMT",
"version": "v4"
}
] |
2017-06-28
|
[
[
"Jang",
"Dongmin",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Kwon",
"O-Kab",
""
],
[
"Tolla",
"D. D.",
""
]
] |
We test the holographic relation between the vacuum expectation values of gauge invariant operators in ${\cal N} = 6$ ${\rm U}_k(N)\times {\rm U}_{-k}(N)$ mass-deformed ABJM theory and the LLM geometries with $\mathbb{Z}_k$ orbifold in 11-dimensional supergravity. To do that, we apply the Kaluza-Klein reduction to construct a 4-dimensional gravity theory and implement the holographic renormalization procedure. We obtain an exact holographic relation for the vacuum expectation values of the chiral primary operator with conformal dimension $\Delta = 1$, which is given by $\langle {\cal O}^{(\Delta=1)}\rangle= N^{\frac32} \, f_{(\Delta=1)}$, for large $N$ and $k=1$. Here factor $f_{(\Delta)}$ is independent of $N$. Our results involve infinite number of exact dual relations for all possible supersymmetric Higgs vacua and so provide a nontrivial test of gauge/gravity duality away from the conformal fixed point. We also extend our results to the case of $k\ne 1$ for LLM geometries represented by rectangular-shaped Young-diagrams.
|
hep-th/0504061
|
Luigi Genovese
|
Marco D'Alessandro and Luigi Genovese
|
A wide class of four point functions of BPS operators in N=4 SYM at
order g^4
|
25 pages, LaTeX, uses feynmp
|
Nucl.Phys. B732 (2006) 64-88
|
10.1016/j.nuclphysb.2005.10.007
|
ROM2F/2005/05
|
hep-th
| null |
The calculation of a large family of four point functions of general BPS
operators in N=4 SYM is reduced to the evaluation of colour contractions. For
1/2 BPS operators O_\Delta the explicit results at order g^4 for the function <
O_n O_2 O_n O_2 > are given up to n=6. The OPE of the general result is
performed up to the second order in the short distance expansion parameter. Two
examples are given, in which the mixing of the operators in the intermediate
channel can be resolved using four point functions computed by this method.
|
[
{
"created": "Thu, 7 Apr 2005 09:10:25 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2005 15:09:54 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"D'Alessandro",
"Marco",
""
],
[
"Genovese",
"Luigi",
""
]
] |
The calculation of a large family of four point functions of general BPS operators in N=4 SYM is reduced to the evaluation of colour contractions. For 1/2 BPS operators O_\Delta the explicit results at order g^4 for the function < O_n O_2 O_n O_2 > are given up to n=6. The OPE of the general result is performed up to the second order in the short distance expansion parameter. Two examples are given, in which the mixing of the operators in the intermediate channel can be resolved using four point functions computed by this method.
|
hep-th/0505219
|
Jun-Ichirou Koga
|
Jun-ichirou Koga
|
The first law of AdS black holes in higher curvature gravity
|
v.1: 12 pages, no figures. v.2: improved descriptions on non-rotating
timelike Killing vector (in the symplectic formalism, in particular) and
asymptotic conditions at infinity. minor corrections. a reference added. 13
pages now
|
Phys.Rev. D72 (2005) 064010
|
10.1103/PhysRevD.72.064010
|
WU-AP/222/05
|
hep-th gr-qc
| null |
We consider the first law of black hole thermodynamics in an asymptotically
anti-de Sitter spacetime in the class of gravitational theories whose
gravitational Lagrangian is an arbitrary function of the Ricci scalar. We first
show that the conserved quantities in this class of gravitational theories
constructed through conformal completion remain unchanged under the conformal
transformation into the Einstein frame. We then prove that the mass and the
angular momenta defined by these conserved quantities, along with the entropy
defined by the Noether charge, satisfy the first law of black hole
thermodynamics, not only in Einstein gravity but also in the higher curvature
gravity within the class under consideration. We also point out that it is
naturally understood in the symplectic formalism that the mass satisfying the
first law should be necessarily defined associated with the timelike Killing
vector nonrotating at infinity. Finally, a possible generalization into a wider
class of gravitational theories is discussed.
|
[
{
"created": "Tue, 24 May 2005 18:08:47 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jun 2005 16:52:27 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Koga",
"Jun-ichirou",
""
]
] |
We consider the first law of black hole thermodynamics in an asymptotically anti-de Sitter spacetime in the class of gravitational theories whose gravitational Lagrangian is an arbitrary function of the Ricci scalar. We first show that the conserved quantities in this class of gravitational theories constructed through conformal completion remain unchanged under the conformal transformation into the Einstein frame. We then prove that the mass and the angular momenta defined by these conserved quantities, along with the entropy defined by the Noether charge, satisfy the first law of black hole thermodynamics, not only in Einstein gravity but also in the higher curvature gravity within the class under consideration. We also point out that it is naturally understood in the symplectic formalism that the mass satisfying the first law should be necessarily defined associated with the timelike Killing vector nonrotating at infinity. Finally, a possible generalization into a wider class of gravitational theories is discussed.
|
1007.5157
|
Fa-Min Chen
|
Fa-Min Chen, Yong-Shi Wu
|
Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5
Superconformal Chern-Simons Matter Theories
|
37 pages, minor changes, published in PRD
|
Phys.Rev.D82:106012,2010
|
10.1103/PhysRevD.82.106012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a superspace formulation of the D=3, N=4,5 superconformal
Chern-Simons Matter theories, with matter supermultiplets valued in a
symplectic 3-algebra. We first construct an N=1 superconformal action, and then
generalize a method used by Gaitto and Witten to enhance the supersymmetry from
N=1 to N=5. By decomposing the N=5 supermultiplets and the symplectic 3-algebra
properly and proposing a new super-potential term, we construct the N=4
superconformal Chern-Simons matter theories in terms of two sets of generators
of a (quaternion) symplectic 3-algebra. The N=4 theories can also be derived by
requiring that the supersymmetry transformations are closed on-shell. The
relationship between the 3-algebras, Lie superalgebras, Lie algebras and
embedding tensors (proposed in [E. A. Bergshoeff, O. Hohm, D. Roest, H.
Samtleben, and E. Sezgin, J. High Energy Phys. 09 (2008) 101.]) is also
clarified. The general N=4,5 superconformal Chern-Simons matter theories in
terms of ordinary Lie algebras can be rederived in our 3-algebra approach. All
known N=4,5 superconformal Chern-Simons matter theories can be recovered in the
present superspace formulation for super-Lie-algebra realization of symplectic
3-algebras.
|
[
{
"created": "Thu, 29 Jul 2010 09:10:51 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2012 08:12:16 GMT",
"version": "v2"
}
] |
2012-03-30
|
[
[
"Chen",
"Fa-Min",
""
],
[
"Wu",
"Yong-Shi",
""
]
] |
We present a superspace formulation of the D=3, N=4,5 superconformal Chern-Simons Matter theories, with matter supermultiplets valued in a symplectic 3-algebra. We first construct an N=1 superconformal action, and then generalize a method used by Gaitto and Witten to enhance the supersymmetry from N=1 to N=5. By decomposing the N=5 supermultiplets and the symplectic 3-algebra properly and proposing a new super-potential term, we construct the N=4 superconformal Chern-Simons matter theories in terms of two sets of generators of a (quaternion) symplectic 3-algebra. The N=4 theories can also be derived by requiring that the supersymmetry transformations are closed on-shell. The relationship between the 3-algebras, Lie superalgebras, Lie algebras and embedding tensors (proposed in [E. A. Bergshoeff, O. Hohm, D. Roest, H. Samtleben, and E. Sezgin, J. High Energy Phys. 09 (2008) 101.]) is also clarified. The general N=4,5 superconformal Chern-Simons matter theories in terms of ordinary Lie algebras can be rederived in our 3-algebra approach. All known N=4,5 superconformal Chern-Simons matter theories can be recovered in the present superspace formulation for super-Lie-algebra realization of symplectic 3-algebras.
|
2103.13682
|
Mohammad R. Garousi
|
Mohammad R. Garousi
|
Effective action of string theory at order $\alpha'$ in the presence of
boundary
|
30 pages, Latex file, no figure; v7:extend the cosmological reduction
to the general one-dimensional reduction which includes timelike or spacelike
boundary
| null |
10.1140/epjc/s10052-021-09952-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, using the assumption that the string theory effective action at the
critical dimension is background independent, the classical on-shell effective
action of the bosonic string theory at order $\alpha'$ in a spacetime manifold
without boundary has been reproduced, up to an overall parameter, by imposing
the $O(1,1)$ symmetry when the background has a circle. In the presence of the
boundary, we consider a background which has boundary and a circle such that
the unit normal vector of the boundary is independent of the circle. Then the
$O(1,1)$ symmetry can fix the bulk action without using the lowest order
equation of motion. Moreover, the above constraints and the constraint from the
principle of the least action in the presence of boundary can fix the boundary
action, up to five boundary parameters. In the least action principle, we
assume that not only the values of the massless fields but also the values of
their first derivatives are arbitrary on the boundary.
We have also observed that the cosmological/one-dimensional reduction of the
leading order action in the presence of the Hawking-Gibbons boundary term,
produces zero boundary action. Imposing this as another constraint on the
boundary couplings at order $\alpha'$, we find the boundary action up to two
parameters. For a specific value for these two parameters, the gravity
couplings in the boundary become the Chern-Simons gravity plus another term
which has the Laplacian of the extrinsic curvature.
|
[
{
"created": "Thu, 25 Mar 2021 09:00:55 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Apr 2021 06:51:16 GMT",
"version": "v2"
},
{
"created": "Sat, 8 May 2021 06:42:39 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Aug 2021 03:41:49 GMT",
"version": "v4"
},
{
"created": "Thu, 14 Oct 2021 08:35:19 GMT",
"version": "v5"
},
{
"created": "Sat, 13 Nov 2021 12:26:42 GMT",
"version": "v6"
},
{
"created": "Wed, 15 Dec 2021 09:51:16 GMT",
"version": "v7"
}
] |
2022-01-19
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
Recently, using the assumption that the string theory effective action at the critical dimension is background independent, the classical on-shell effective action of the bosonic string theory at order $\alpha'$ in a spacetime manifold without boundary has been reproduced, up to an overall parameter, by imposing the $O(1,1)$ symmetry when the background has a circle. In the presence of the boundary, we consider a background which has boundary and a circle such that the unit normal vector of the boundary is independent of the circle. Then the $O(1,1)$ symmetry can fix the bulk action without using the lowest order equation of motion. Moreover, the above constraints and the constraint from the principle of the least action in the presence of boundary can fix the boundary action, up to five boundary parameters. In the least action principle, we assume that not only the values of the massless fields but also the values of their first derivatives are arbitrary on the boundary. We have also observed that the cosmological/one-dimensional reduction of the leading order action in the presence of the Hawking-Gibbons boundary term, produces zero boundary action. Imposing this as another constraint on the boundary couplings at order $\alpha'$, we find the boundary action up to two parameters. For a specific value for these two parameters, the gravity couplings in the boundary become the Chern-Simons gravity plus another term which has the Laplacian of the extrinsic curvature.
|
2211.01002
|
Carlo A. Trugenberger
|
Carlo A. Trugenberger
|
Effective de Sitter space, quantum behaviour and large-scale spectral
dimension (3+1)
| null |
JHEP 03, 186 (2023)
|
10.1007/JHEP03(2023)186
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
De Sitter space-time, essentially our own universe, is plagued by problems at
the quantum level. Here we propose that Lorentzian de Sitter space-time is not
fundamental but constitutes only an effective description of a more fundamental
quantum gravity ground state. This cosmological ground state is a graph,
appearing on large scales as a Riemannian manifold of constant negative
curvature. We model the behaviour of matter near this equilibrium state as
Brownian motion in the effective thermal environment of graph fluctuations,
driven by a universal time parameter. We show how negative curvature
dynamically induces the asymptotic emergence of relativistic coordinate time
and of leading ballistic motion governed by the isometry group of an
``effective Lorentzian manifold" of opposite, positive curvature, i.e. de
Sitter space-time: free fall in positive curvature is asymptotically equivalent
to the leading behaviour of Brownian motion in negative curvature. The local
limit theorem for negative curvature implies that the large-scale spectral
dimension of this ``effective de Sitter space-time" is (3+1) independently of
its microscopic topological dimension. In the effective description, the
sub-leading component of asymptotic Brownian motion becomes Schr\"odinger
quantum behavior on a 3D Euclidean manifold.
|
[
{
"created": "Wed, 2 Nov 2022 10:03:06 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Mar 2023 09:49:43 GMT",
"version": "v2"
}
] |
2023-04-12
|
[
[
"Trugenberger",
"Carlo A.",
""
]
] |
De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constitutes only an effective description of a more fundamental quantum gravity ground state. This cosmological ground state is a graph, appearing on large scales as a Riemannian manifold of constant negative curvature. We model the behaviour of matter near this equilibrium state as Brownian motion in the effective thermal environment of graph fluctuations, driven by a universal time parameter. We show how negative curvature dynamically induces the asymptotic emergence of relativistic coordinate time and of leading ballistic motion governed by the isometry group of an ``effective Lorentzian manifold" of opposite, positive curvature, i.e. de Sitter space-time: free fall in positive curvature is asymptotically equivalent to the leading behaviour of Brownian motion in negative curvature. The local limit theorem for negative curvature implies that the large-scale spectral dimension of this ``effective de Sitter space-time" is (3+1) independently of its microscopic topological dimension. In the effective description, the sub-leading component of asymptotic Brownian motion becomes Schr\"odinger quantum behavior on a 3D Euclidean manifold.
|
1311.1121
|
Benjamin Koch
|
Benjamin Koch, Carlos Contreras, Paola Rioseco, and Frank Saueressig
|
Black holes and running couplings: A comparison of two complementary
approaches
|
7 pages, 2 figures, prepared for the Karl Schwarzschild meeting 2013
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Black holes appear as vacuum solutions of classical general relativity which
depend on Newton's constant and possibly the cosmological constant. At the
level of a quantum field theory, these coupling constants typically acquire a
scale-dependence. This proceedings briefly summarizes two complementary ways to
incorporate this effect: the renormalization group improvement of the classical
black hole solution based on the running couplings obtained within the
gravitational Asymptotic Safety program and the exact solution of the improved
equations of motion including an arbitrary scale dependence of the
gravitational couplings. Remarkably the picture of the "quantum" black holes
obtained from these very different improvement strategies is surprisingly
similar.
|
[
{
"created": "Tue, 5 Nov 2013 17:03:22 GMT",
"version": "v1"
}
] |
2013-11-06
|
[
[
"Koch",
"Benjamin",
""
],
[
"Contreras",
"Carlos",
""
],
[
"Rioseco",
"Paola",
""
],
[
"Saueressig",
"Frank",
""
]
] |
Black holes appear as vacuum solutions of classical general relativity which depend on Newton's constant and possibly the cosmological constant. At the level of a quantum field theory, these coupling constants typically acquire a scale-dependence. This proceedings briefly summarizes two complementary ways to incorporate this effect: the renormalization group improvement of the classical black hole solution based on the running couplings obtained within the gravitational Asymptotic Safety program and the exact solution of the improved equations of motion including an arbitrary scale dependence of the gravitational couplings. Remarkably the picture of the "quantum" black holes obtained from these very different improvement strategies is surprisingly similar.
|
hep-th/0501153
|
Yeinzon Rodriguez Garcia
|
David H. Lyth (1), Carlos Quimbay (2), Yeinzon Rodriguez (1 and 3)
((1) Department of Physics Lancaster University, (2) Departamento de Fisica
Universidad Nacional de Colombia, (3) Centro de Investigaciones Universidad
Antonio Narino)
|
Leptogenesis and tensor polarisation from a gravitational Chern-Simons
term
|
Latex file. 10 pages. v2: Minor changes in the abstract and the
conclusion. References added. Version accepted for publication in Journal of
High Energy Physics. v3: Typos corrected. Erratum sent for publication
|
JHEP0503:016,2005
|
10.1088/1126-6708/2005/03/016
| null |
hep-th hep-ph
| null |
Within an effective field theory derived from string theory, the universal
axion has to be coupled to the the gravitational Chern-Simons (gCS) term.
During any era when the axion field is varying, the vacuum fluctuation of the
gravitational wave amplitude will then be circularly polarised, generating an
expectation value for the gCS term. The polarisation may be observable through
the Cosmic Microwave Background, and the vacuum expectation value of the gCS
term may generate the baryon asymmetry of the Universe. We argue here that such
effects cannot be computed without further input from string theory, since the
`vacuum' in question is unlikely to be the field-theoretic one.
|
[
{
"created": "Wed, 19 Jan 2005 19:21:52 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2005 20:35:37 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jul 2005 17:22:31 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Lyth",
"David H.",
"",
"1 and 3"
],
[
"Quimbay",
"Carlos",
"",
"1 and 3"
],
[
"Rodriguez",
"Yeinzon",
"",
"1 and 3"
]
] |
Within an effective field theory derived from string theory, the universal axion has to be coupled to the the gravitational Chern-Simons (gCS) term. During any era when the axion field is varying, the vacuum fluctuation of the gravitational wave amplitude will then be circularly polarised, generating an expectation value for the gCS term. The polarisation may be observable through the Cosmic Microwave Background, and the vacuum expectation value of the gCS term may generate the baryon asymmetry of the Universe. We argue here that such effects cannot be computed without further input from string theory, since the `vacuum' in question is unlikely to be the field-theoretic one.
|
1406.4540
|
Samuel Monnier
|
Samuel Monnier
|
The global anomalies of (2,0) superconformal field theories in six
dimensions
|
35 pages, 2 figures. v2: typos corrected, some clarifications added
in the introduction and in Section 4.6, version to be published in JHEP
|
JHEP09(2014)088
|
10.1007/JHEP09(2014)088
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the global gauge and gravitational anomalies of the A-type (2,0)
superconformal quantum field theories in six dimensions, and conjecture a
formula valid for the D- and E-type theories. We show that the anomaly contains
terms that do not contribute to the local anomaly but that are crucial for the
consistency of the global anomaly. A side result is an intuitive picture for
the appearance of Hopf-Wess-Zumino terms on the Coulomb branch of the (2,0)
theories.
|
[
{
"created": "Tue, 17 Jun 2014 20:58:21 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Sep 2014 08:59:58 GMT",
"version": "v2"
}
] |
2014-09-30
|
[
[
"Monnier",
"Samuel",
""
]
] |
We compute the global gauge and gravitational anomalies of the A-type (2,0) superconformal quantum field theories in six dimensions, and conjecture a formula valid for the D- and E-type theories. We show that the anomaly contains terms that do not contribute to the local anomaly but that are crucial for the consistency of the global anomaly. A side result is an intuitive picture for the appearance of Hopf-Wess-Zumino terms on the Coulomb branch of the (2,0) theories.
|
1208.0981
|
Norihiro Tanahashi
|
Norihiro Tanahashi and Keiju Murata
|
Instability in near-horizon geometries of even-dimensional Myers-Perry
black holes
|
26 pages; v2: minor typo corrected
|
Class. Quantum Grav. 29 235002 (2012)
|
10.1088/0264-9381/29/23/235002
|
DAMTP-2012-67
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the gravitational, electromagnetic and scalar field perturbations on
the near-horizon geometries of the even-dimensional extremal Myers-Perry black
holes. By dimensional reduction, the perturbation equations are reduced to
effective equations of motion in AdS$_2$. We find that some modes in the
gravitational perturbations violate the Breitenl\"ohner-Freedman bound in
AdS$_2$. This result suggests that the even-dimensional (near-)extremal
Myers-Perry black holes are unstable against gravitational perturbations. We
also discuss implications of our results to the Kerr-CFT correspondence.
|
[
{
"created": "Sun, 5 Aug 2012 05:34:20 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Dec 2012 23:13:39 GMT",
"version": "v2"
}
] |
2013-01-01
|
[
[
"Tanahashi",
"Norihiro",
""
],
[
"Murata",
"Keiju",
""
]
] |
We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS$_2$. We find that some modes in the gravitational perturbations violate the Breitenl\"ohner-Freedman bound in AdS$_2$. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.
|
hep-th/0303163
|
Hagen Kleinert
|
B. Hamprecht and H. Kleinert
|
Variational Perturbation Theory for Summing Divergent Non-Borel-Summable
Tunneling Amplitudes
|
Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of
paper (including all PS fonts) at
http://www.physik.fu-berlin.de/~kleinert/344
|
Phys.Lett. B564 (2003) 111
|
10.1016/S0370-2693(03)00489-1
| null |
hep-th
| null |
We present a method for evaluating divergent non-Borel-summable series by an
analytic continuation of variational perturbation theory. We demonstrate the
power of the method by an application to the exactly known partition function
of the anharmonic oscillator in zero spacetime dimensions. In one spacetime
dimension we derive the imaginary part of the ground state energy of the
anharmonic oscillator for {\em all negative values of the coupling constant
$g$, including the nonanalytic tunneling regime at small-$g$. As a highlight of
the theory we retrieve from the divergent perturbation expansion the action of
the critical bubble and the contribution of the higher loop fluctuations around
the bubble.
|
[
{
"created": "Wed, 19 Mar 2003 11:12:18 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Hamprecht",
"B.",
""
],
[
"Kleinert",
"H.",
""
]
] |
We present a method for evaluating divergent non-Borel-summable series by an analytic continuation of variational perturbation theory. We demonstrate the power of the method by an application to the exactly known partition function of the anharmonic oscillator in zero spacetime dimensions. In one spacetime dimension we derive the imaginary part of the ground state energy of the anharmonic oscillator for {\em all negative values of the coupling constant $g$, including the nonanalytic tunneling regime at small-$g$. As a highlight of the theory we retrieve from the divergent perturbation expansion the action of the critical bubble and the contribution of the higher loop fluctuations around the bubble.
|
hep-th/0511228
|
Hajar Ebrahim
|
Hajar Ebrahim
|
Semiclassical Strings Probing NS5 Brane Wrapped on S^5
|
14 pages, Latex, v2: typos corrected, Refs. added, v3: typos
corrected
|
JHEP0601:019,2006
|
10.1088/1126-6708/2006/01/019
|
IPM/2005/081
|
hep-th
| null |
We study little string theory on R^1 x S^5, defined by a theory which lives
on type IIA N NS5 branes wrapped on S^5, using its supergravity dual. In
particular we study semiclassical rotating closed strings in this background.
We also consider Penrose limit of this background that leads to a plane wave on
which string theory is exactly solvable.
|
[
{
"created": "Wed, 23 Nov 2005 10:09:37 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2005 13:42:07 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Aug 2006 09:13:20 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Ebrahim",
"Hajar",
""
]
] |
We study little string theory on R^1 x S^5, defined by a theory which lives on type IIA N NS5 branes wrapped on S^5, using its supergravity dual. In particular we study semiclassical rotating closed strings in this background. We also consider Penrose limit of this background that leads to a plane wave on which string theory is exactly solvable.
|
1707.04630
|
Carlos A. Batista da S. Filho
|
Gabriel Luz Almeida and Carlos Batista
|
A Class of Integrable Metrics and Gauge Fields
|
14 pages
|
Phys. Rev. D 96, 084003 (2017)
|
10.1103/PhysRevD.96.084003
| null |
hep-th gr-qc math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting with the most general four-dimensional spacetime possessing two
commuting Killing vectors and a nontrivial Killing tensor, we analytically
integrate Einstein-Yang-Mills equations for a completely arbitrary gauge group.
It is assumed that the gauge field inherits the symmetries of the background
and is aligned with the principal null directions of the spacetime.
|
[
{
"created": "Fri, 14 Jul 2017 20:21:06 GMT",
"version": "v1"
}
] |
2017-10-11
|
[
[
"Almeida",
"Gabriel Luz",
""
],
[
"Batista",
"Carlos",
""
]
] |
Starting with the most general four-dimensional spacetime possessing two commuting Killing vectors and a nontrivial Killing tensor, we analytically integrate Einstein-Yang-Mills equations for a completely arbitrary gauge group. It is assumed that the gauge field inherits the symmetries of the background and is aligned with the principal null directions of the spacetime.
|
1512.08514
|
Jay Armas
|
Jay Armas, Jyotirmoy Bhattacharya, Nilay Kundu
|
Surface transport in plasma-balls
|
v2: 37+1pp, 3 figures, typos fixed, added new appendix with
orthogonal-Landau-frame, published in JHEP
|
JHEP 06 (2016) 015
|
10.1007/JHEP06(2016)015
| null |
hep-th cond-mat.soft
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the surface transport properties of stationary localized
configurations of relativistic fluids to the first two non-trivial orders in a
derivative expansion. By demanding that these finite lumps of relativistic
fluid are described by a thermal partition function with arbitrary stationary
background metric and gauge fields, we are able to find several constraints
among surface transport coefficients. At leading order, besides recovering the
surface thermodynamics, we obtain a generalization of the Young-Laplace
equation for relativistic fluid surfaces, by considering a temperature
dependence in the surface tension, which is further generalized in the context
of superfluids. At the next order, for uncharged fluids in 3+1 dimensions, we
show that besides the 3 independent bulk transport coefficients previously
known, a generic localized configuration is characterized by 3 additional
surface transport coefficients, one of which may be identified with the surface
modulus of rigidity. Finally, as an application, we study the effect of
temperature dependence of surface tension on some explicit examples of
localized fluid configurations, which are dual to certain non-trivial black
hole solutions via the AdS/CFT correspondence.
|
[
{
"created": "Mon, 28 Dec 2015 20:59:36 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jun 2016 10:33:02 GMT",
"version": "v2"
}
] |
2016-06-29
|
[
[
"Armas",
"Jay",
""
],
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Kundu",
"Nilay",
""
]
] |
We study the surface transport properties of stationary localized configurations of relativistic fluids to the first two non-trivial orders in a derivative expansion. By demanding that these finite lumps of relativistic fluid are described by a thermal partition function with arbitrary stationary background metric and gauge fields, we are able to find several constraints among surface transport coefficients. At leading order, besides recovering the surface thermodynamics, we obtain a generalization of the Young-Laplace equation for relativistic fluid surfaces, by considering a temperature dependence in the surface tension, which is further generalized in the context of superfluids. At the next order, for uncharged fluids in 3+1 dimensions, we show that besides the 3 independent bulk transport coefficients previously known, a generic localized configuration is characterized by 3 additional surface transport coefficients, one of which may be identified with the surface modulus of rigidity. Finally, as an application, we study the effect of temperature dependence of surface tension on some explicit examples of localized fluid configurations, which are dual to certain non-trivial black hole solutions via the AdS/CFT correspondence.
|
1501.05218
|
M. Hossein Dehghani
|
M. R. Mehdizadeh, M. H. Dehghani and M. Kord Zangeneh
|
Counterterms for Static Lovelock Solutions
|
arXiv admin note: text overlap with arXiv:1008.0102 by other authors
|
Eur. Phys. J. C 75, 276 (2015)
|
10.1140/epjc/s10052-015-3503-9
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we introduce the counterterms that remove the non-logarithmic
divergences of the action in third order Lovelock gravity for static
spacetimes. We do this by defining the cosmological constant in such a way that
the asymptotic form of the metric have the same form in Lovelock and Einstein
gravities. Thus, we employ the counterterms of Einstein gravity and show that
the power law divergences of the action of Lovelock gravity for static
spacetimes can be removed by suitable choice of coefficients. We find that the
dependence of these coefficients on the dimension in Lovelock gravity is the
same as in Einstein gravity. We also introduce the finite energy-momentum
tensor and employ these counterterms to calculate the finite action and mass of
static black hole solutions of third order Lovelock gravity. Next, we calculate
the thermodynamic quantities and show that the entropy calculated through the
use of Gibbs-Duhem relation is consistent with the obtained entropy by Wald's
formula. Furthermore, we find that in contrast to Einstein gravity in which
there exists no uncharged extreme black hole, third order Lovelock gravity can
have these kind of black holes. Finally, we investigate the stability of static
charged black holes of Lovelock gravity in canonical ensemble and find that
small black holes show a phase transition between very small and small black
holes, while the large ones are stable.
|
[
{
"created": "Wed, 21 Jan 2015 16:22:59 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jun 2015 17:55:01 GMT",
"version": "v2"
}
] |
2015-06-30
|
[
[
"Mehdizadeh",
"M. R.",
""
],
[
"Dehghani",
"M. H.",
""
],
[
"Zangeneh",
"M. Kord",
""
]
] |
In this paper, we introduce the counterterms that remove the non-logarithmic divergences of the action in third order Lovelock gravity for static spacetimes. We do this by defining the cosmological constant in such a way that the asymptotic form of the metric have the same form in Lovelock and Einstein gravities. Thus, we employ the counterterms of Einstein gravity and show that the power law divergences of the action of Lovelock gravity for static spacetimes can be removed by suitable choice of coefficients. We find that the dependence of these coefficients on the dimension in Lovelock gravity is the same as in Einstein gravity. We also introduce the finite energy-momentum tensor and employ these counterterms to calculate the finite action and mass of static black hole solutions of third order Lovelock gravity. Next, we calculate the thermodynamic quantities and show that the entropy calculated through the use of Gibbs-Duhem relation is consistent with the obtained entropy by Wald's formula. Furthermore, we find that in contrast to Einstein gravity in which there exists no uncharged extreme black hole, third order Lovelock gravity can have these kind of black holes. Finally, we investigate the stability of static charged black holes of Lovelock gravity in canonical ensemble and find that small black holes show a phase transition between very small and small black holes, while the large ones are stable.
|
1412.1425
|
Pouria Pedram
|
P. Pedram, M. Amirfakhrian, and H. Shababi
|
On the (2+1)-dimensional Dirac equation in a constant magnetic field
with a minimal length uncertainty
|
11 pages, no figure
|
Int. J. Mod. Phys. D 24 (2015) 1550016
|
10.1142/S0218271815500169
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We exactly solve the (2+1)-dimensional Dirac equation in a constant magnetic
field in the presence of a minimal length. Using a proper ansatz for the wave
function, we transform the Dirac Hamiltonian into two 2-dimensional
non-relativistic harmonic oscillator and obtain the solutions without directly
solving the corresponding differential equations which are presented by
Menculini et al. [Phys. Rev. D 87, 065017 (2013)]. We also show that Menculini
et al. solution is a subset of the general solution which is related to the
even quantum numbers.
|
[
{
"created": "Wed, 3 Dec 2014 18:19:21 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Feb 2015 20:11:57 GMT",
"version": "v2"
}
] |
2015-02-12
|
[
[
"Pedram",
"P.",
""
],
[
"Amirfakhrian",
"M.",
""
],
[
"Shababi",
"H.",
""
]
] |
We exactly solve the (2+1)-dimensional Dirac equation in a constant magnetic field in the presence of a minimal length. Using a proper ansatz for the wave function, we transform the Dirac Hamiltonian into two 2-dimensional non-relativistic harmonic oscillator and obtain the solutions without directly solving the corresponding differential equations which are presented by Menculini et al. [Phys. Rev. D 87, 065017 (2013)]. We also show that Menculini et al. solution is a subset of the general solution which is related to the even quantum numbers.
|
2001.00606
|
Andres Anabalon
|
Andres Anabalon, Bernard de Wit and Julio Oliva
|
Supersymmetric traversable wormholes
|
16 pages, 2 figures. Published version with a detailed analysis of
the boundary and a general proof on the circumvention of a topological
censorship theorem
| null |
10.1007/JHEP09(2020)109
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study traversable wormhole solutions in pure gauged $N\!=\!2$ supergravity
with and without electromagnetic fields, which are locally isometric under
$\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(1,1)$. The model allows for 1/2-BPS
wormhole solutions whose corresponding globally defined Killing spinors are
presented. A non-contractible cycle can be obtained by compactifying one of the
coordinates which leaves the residual supersymmetry unaffected, the isometry
group is now globally $\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(2)$. The wormholes
connect two asymptotic, locally $\mathrm{AdS}_4$ regions and depend on certain
electric and magnetic charge parameters and, implicitly, on the range of the
compact coordinate around the throat. We provide an analysis of the boundary of
the spacetime and show that it can be either disconnected or not, depending on
the values of the parameters in the metric. Finally, we show how that these
space-times avoid a topological censorship theorem.
|
[
{
"created": "Thu, 2 Jan 2020 19:43:37 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Sep 2020 13:37:02 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Anabalon",
"Andres",
""
],
[
"de Wit",
"Bernard",
""
],
[
"Oliva",
"Julio",
""
]
] |
We study traversable wormhole solutions in pure gauged $N\!=\!2$ supergravity with and without electromagnetic fields, which are locally isometric under $\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(1,1)$. The model allows for 1/2-BPS wormhole solutions whose corresponding globally defined Killing spinors are presented. A non-contractible cycle can be obtained by compactifying one of the coordinates which leaves the residual supersymmetry unaffected, the isometry group is now globally $\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(2)$. The wormholes connect two asymptotic, locally $\mathrm{AdS}_4$ regions and depend on certain electric and magnetic charge parameters and, implicitly, on the range of the compact coordinate around the throat. We provide an analysis of the boundary of the spacetime and show that it can be either disconnected or not, depending on the values of the parameters in the metric. Finally, we show how that these space-times avoid a topological censorship theorem.
|
0708.1283
|
Bernard S. Kay
|
Bernard S. Kay and Peter Larkin (York)
|
Pre-Holography
|
6 pages, 1 eps figure, revtex. v3: Improved figure. Error corrected
in Endnote [14]; the new version of Endnote [14] points out the, in general,
unusual "localization" of the boundary fields. Other minor improvements and
clarifications. v3 to appear in Physical Review D (Rapid Communications)
|
Phys.Rev.D77:121501,2008
|
10.1103/PhysRevD.77.121501
| null |
hep-th gr-qc math-ph math.MP
| null |
We construct a symplectic isomorphism, h, from classical Klein Gordon
solutions of mass m on (d+1)-dimensional Lorentzian Anti de Sitter space
(equipped with the usual symplectic form) to a certain symplectic space of
functions on its conformal boundary (only) for all integer and half-integer
Delta (= d/2 + (1/2)(d^2 + 4m^2)^{1/2}). h induces a large family of new
examples of Rehren's algebraic holography in which the net of local quantum
Klein Gordon algebras in AdS is seen to map to a suitably defined net of local
algebras for the (generalized free) scalar conformal field with anomalous
dimension Delta on d-dimensional Minkowski space (the AdS boundary). Relatedly,
we show for these models that Bertola et al's boundary-limit holography becomes
a quantum duality (only) if the test functions for boundary Wightman
distributions are restricted in a particular way.
|
[
{
"created": "Thu, 9 Aug 2007 14:09:25 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2007 18:34:05 GMT",
"version": "v2"
},
{
"created": "Fri, 16 May 2008 16:41:16 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Kay",
"Bernard S.",
"",
"York"
],
[
"Larkin",
"Peter",
"",
"York"
]
] |
We construct a symplectic isomorphism, h, from classical Klein Gordon solutions of mass m on (d+1)-dimensional Lorentzian Anti de Sitter space (equipped with the usual symplectic form) to a certain symplectic space of functions on its conformal boundary (only) for all integer and half-integer Delta (= d/2 + (1/2)(d^2 + 4m^2)^{1/2}). h induces a large family of new examples of Rehren's algebraic holography in which the net of local quantum Klein Gordon algebras in AdS is seen to map to a suitably defined net of local algebras for the (generalized free) scalar conformal field with anomalous dimension Delta on d-dimensional Minkowski space (the AdS boundary). Relatedly, we show for these models that Bertola et al's boundary-limit holography becomes a quantum duality (only) if the test functions for boundary Wightman distributions are restricted in a particular way.
|
0805.1194
|
Toshiaki Fujimori
|
Toshiaki Fujimori, Muneto Nitta, Kazutoshi Ohta, Norisuke Sakai,
Masahito Yamazaki
|
Intersecting Solitons, Amoeba and Tropical Geometry
|
39 pages, 11 figures
|
Phys.Rev.D78:105004,2008
|
10.1103/PhysRevD.78.105004
|
TIT/HEP-581, TU-813, UT-08-06
|
hep-th math.AG math.CV
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study generic intersection (or web) of vortices with instantons inside,
which is a 1/4 BPS state in the Higgs phase of five-dimensional N=1
supersymmetric U(Nc) gauge theory on R_t \times (C^\ast)^2 \simeq R^{2,1}
\times T^2 with Nf=Nc Higgs scalars in the fundamental representation. In the
case of the Abelian-Higgs model (Nf=Nc=1), the intersecting vortex sheets can
be beautifully understood in a mathematical framework of amoeba and tropical
geometry, and we propose a dictionary relating solitons and gauge theory to
amoeba and tropical geometry. A projective shape of vortex sheets is described
by the amoeba. Vortex charge density is uniformly distributed among vortex
sheets, and negative contribution to instanton charge density is understood as
the complex Monge-Ampere measure with respect to a plurisubharmonic function on
(C^\ast)^2. The Wilson loops in T^2 are related with derivatives of the Ronkin
function. The general form of the Kahler potential and the asymptotic metric of
the moduli space of a vortex loop are obtained as a by-product. Our discussion
works generally in non-Abelian gauge theories, which suggests a non-Abelian
generalization of the amoeba and tropical geometry.
|
[
{
"created": "Thu, 8 May 2008 16:43:53 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Fujimori",
"Toshiaki",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohta",
"Kazutoshi",
""
],
[
"Sakai",
"Norisuke",
""
],
[
"Yamazaki",
"Masahito",
""
]
] |
We study generic intersection (or web) of vortices with instantons inside, which is a 1/4 BPS state in the Higgs phase of five-dimensional N=1 supersymmetric U(Nc) gauge theory on R_t \times (C^\ast)^2 \simeq R^{2,1} \times T^2 with Nf=Nc Higgs scalars in the fundamental representation. In the case of the Abelian-Higgs model (Nf=Nc=1), the intersecting vortex sheets can be beautifully understood in a mathematical framework of amoeba and tropical geometry, and we propose a dictionary relating solitons and gauge theory to amoeba and tropical geometry. A projective shape of vortex sheets is described by the amoeba. Vortex charge density is uniformly distributed among vortex sheets, and negative contribution to instanton charge density is understood as the complex Monge-Ampere measure with respect to a plurisubharmonic function on (C^\ast)^2. The Wilson loops in T^2 are related with derivatives of the Ronkin function. The general form of the Kahler potential and the asymptotic metric of the moduli space of a vortex loop are obtained as a by-product. Our discussion works generally in non-Abelian gauge theories, which suggests a non-Abelian generalization of the amoeba and tropical geometry.
|
hep-th/9812055
|
Marcos Marino
|
Marcos Marino, Gregory Moore, Grigor Peradze
|
Superconformal invariance and the geography of four-manifolds
|
59 pages, harvmac b mode, four figures, some clarifications and
references added
|
Commun.Math.Phys. 205 (1999) 691-735
|
10.1007/s002200050694
|
YCTP-P26-98
|
hep-th math.DG
| null |
The correlation functions of supersymmetric gauge theories on a four-manifold
X can sometimes be expressed in terms of topological invariants of X. We show
how the existence of superconformal fixed points in the gauge theory can
provide nontrivial information about four-manifold topology. In particular, in
the example of gauge group SU(2) with one doublet hypermultiplet, we derive a
theorem relating classical topological invariants such as the Euler character
and signature to sum rules for Seiberg-Witten invariants.
|
[
{
"created": "Mon, 7 Dec 1998 23:01:33 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Dec 1998 22:41:21 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Marino",
"Marcos",
""
],
[
"Moore",
"Gregory",
""
],
[
"Peradze",
"Grigor",
""
]
] |
The correlation functions of supersymmetric gauge theories on a four-manifold X can sometimes be expressed in terms of topological invariants of X. We show how the existence of superconformal fixed points in the gauge theory can provide nontrivial information about four-manifold topology. In particular, in the example of gauge group SU(2) with one doublet hypermultiplet, we derive a theorem relating classical topological invariants such as the Euler character and signature to sum rules for Seiberg-Witten invariants.
|
hep-th/0404113
|
Alexey Selivanov B.
|
V.D. Ivashchuk, V.N. Melnikov and A.B. Selivanov
|
Composite S-Brane Solutions On Product Of Ricci-Flat Spaces
|
To appear in GRG
|
Gen.Rel.Grav. 36 (2004) 1593-1602
|
10.1023/B:GERG.0000032151.75335.14
| null |
hep-th astro-ph gr-qc
| null |
A family of generalized $S$-brane solutions with orthogonal intersection
rules and $n$ Ricci-flat factor spaces in the theory with several scalar fields
and antisymmetric forms is considered. Two subclasses of solutions with
power-law and exponential behaviour of scale factors are singled out. These
subclasses contain sub-families of solutions with accelerated expansion of
certain factor spaces. The solutions depend on charge densities of branes,
their dimensions and intersections, dilatonic couplings and the number of
dilatonic fields.
|
[
{
"created": "Fri, 16 Apr 2004 15:20:16 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Ivashchuk",
"V. D.",
""
],
[
"Melnikov",
"V. N.",
""
],
[
"Selivanov",
"A. B.",
""
]
] |
A family of generalized $S$-brane solutions with orthogonal intersection rules and $n$ Ricci-flat factor spaces in the theory with several scalar fields and antisymmetric forms is considered. Two subclasses of solutions with power-law and exponential behaviour of scale factors are singled out. These subclasses contain sub-families of solutions with accelerated expansion of certain factor spaces. The solutions depend on charge densities of branes, their dimensions and intersections, dilatonic couplings and the number of dilatonic fields.
|
hep-th/0201104
|
Renate Loll
|
J. Ambjorn (NBI, Copenhagen), A. Dasgupta (AEI, Golm), J. Jurkiewicz
(U. Krakow), R. Loll (U. Utrecht)
|
A Lorentzian cure for Euclidean troubles
|
3 pages
|
Nucl.Phys.Proc.Suppl. 106 (2002) 977-979
|
10.1016/S0920-5632(01)01903-X
|
SPIN-2001-33
|
hep-th
| null |
There is strong evidence coming from Lorentzian dynamical triangulations that
the unboundedness of the gravitational action is no obstacle to the
construction of a well-defined non-perturbative path integral. In a continuum
approach, a similar suppression of the conformal divergence comes about as the
result of a non-trivial path-integral measure.
|
[
{
"created": "Tue, 15 Jan 2002 14:09:49 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ambjorn",
"J.",
"",
"NBI, Copenhagen"
],
[
"Dasgupta",
"A.",
"",
"AEI, Golm"
],
[
"Jurkiewicz",
"J.",
"",
"U. Krakow"
],
[
"Loll",
"R.",
"",
"U. Utrecht"
]
] |
There is strong evidence coming from Lorentzian dynamical triangulations that the unboundedness of the gravitational action is no obstacle to the construction of a well-defined non-perturbative path integral. In a continuum approach, a similar suppression of the conformal divergence comes about as the result of a non-trivial path-integral measure.
|
2210.16372
|
Giovani Peruzzo
|
Giovani Peruzzo, Silvio Paolo Sorella
|
Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic
quantum field theory
|
22 pages, 4 figures
| null |
10.1103/PhysRevD.106.125020
| null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We present an investigation of the $CHSH$ inequality within a relativistic
quantum field theory model built up with a pair of free massive scalar fields
$(\varphi_A, \varphi_B)$ where, as it is customary, the indices $(A,B)$ refer
to Alice and Bob, respectively. A set of bounded Hermitian operators is
introduced by making use of the Weyl operators. A $CHSH$ type correlator is
constructed and evaluated in the Fock vacuum by means of the canonical
quantization. Although the observed violation of the $CHSH$ inequality turns
out to be rather small as compared to Tsirelson's bound of Quantum Mechanics,
the model can be employed for the study of Bell's inequalities in the more
physical case of gauge theories such as: the Higgs models, for which local
$BRST$ invariant operators describing both the massive gauge boson as well as
the Higgs particle have been devised. These operators can be naturally
exponentiated, leading to $BRST$ invariant type of Weyl operators useful to
analyze Bell's inequalities within an invariant $BRST$ environment.
|
[
{
"created": "Fri, 28 Oct 2022 19:15:57 GMT",
"version": "v1"
}
] |
2023-01-11
|
[
[
"Peruzzo",
"Giovani",
""
],
[
"Sorella",
"Silvio Paolo",
""
]
] |
We present an investigation of the $CHSH$ inequality within a relativistic quantum field theory model built up with a pair of free massive scalar fields $(\varphi_A, \varphi_B)$ where, as it is customary, the indices $(A,B)$ refer to Alice and Bob, respectively. A set of bounded Hermitian operators is introduced by making use of the Weyl operators. A $CHSH$ type correlator is constructed and evaluated in the Fock vacuum by means of the canonical quantization. Although the observed violation of the $CHSH$ inequality turns out to be rather small as compared to Tsirelson's bound of Quantum Mechanics, the model can be employed for the study of Bell's inequalities in the more physical case of gauge theories such as: the Higgs models, for which local $BRST$ invariant operators describing both the massive gauge boson as well as the Higgs particle have been devised. These operators can be naturally exponentiated, leading to $BRST$ invariant type of Weyl operators useful to analyze Bell's inequalities within an invariant $BRST$ environment.
|
2211.06943
|
Wei Cui
|
Jin Chen, Zhuo Chen, Wei Cui and Babak Haghighat
|
MSW-type compactifications of 6d $(1,0)$ SCFTs on 4-manifolds
|
45 pages, 7 figures and 2 tables v2: typos corrected, references
added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we study compactifications of 6d $(1,0)$ SCFTs, in particular
those of conformal matter type, on K\"ahler 4-manifolds. We show how this can
be realized via wrapping M5 branes on 4-cycles of non-compact Calabi-Yau
fourfolds with ADE singularity in the fiber. Such compactifications lead to
domain walls in 3d $\mathcal{N}=2$ theories which flow to 2d
$\mathcal{N}=(0,2)$ SCFTs. We compute the central charges of such 2d CFTs via
6d anomaly polynomials by employing a particular topological twist along the
4-manifold. Moreover, we study compactifications on non-compact 4-manifolds
leading to coupled 3d-2d systems. We show how these can be glued together
consistently to reproduce the central charge and anomaly polynomial obtained in
the compact case. Lastly, we study concrete CFT proposals for some special
cases.
|
[
{
"created": "Sun, 13 Nov 2022 16:36:05 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2023 08:52:24 GMT",
"version": "v2"
}
] |
2023-01-11
|
[
[
"Chen",
"Jin",
""
],
[
"Chen",
"Zhuo",
""
],
[
"Cui",
"Wei",
""
],
[
"Haghighat",
"Babak",
""
]
] |
In this work, we study compactifications of 6d $(1,0)$ SCFTs, in particular those of conformal matter type, on K\"ahler 4-manifolds. We show how this can be realized via wrapping M5 branes on 4-cycles of non-compact Calabi-Yau fourfolds with ADE singularity in the fiber. Such compactifications lead to domain walls in 3d $\mathcal{N}=2$ theories which flow to 2d $\mathcal{N}=(0,2)$ SCFTs. We compute the central charges of such 2d CFTs via 6d anomaly polynomials by employing a particular topological twist along the 4-manifold. Moreover, we study compactifications on non-compact 4-manifolds leading to coupled 3d-2d systems. We show how these can be glued together consistently to reproduce the central charge and anomaly polynomial obtained in the compact case. Lastly, we study concrete CFT proposals for some special cases.
|
2202.11737
|
Jordan Cotler
|
Jordan Cotler, Semon Rezchikov
|
Renormalization Group Flow as Optimal Transport
|
34+12 pages, 4 figures; v2: typos fixed, references and comments
added; v3: more typos fixed, Appendix expanded
| null |
10.1103/PhysRevD.108.025003
| null |
hep-th math-ph math.MP math.PR quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish that Polchinski's equation for exact renormalization group flow
is equivalent to the optimal transport gradient flow of a field-theoretic
relative entropy. This provides a compelling information-theoretic formulation
of the exact renormalization group, expressed in the language of optimal
transport. A striking consequence is that a regularization of the relative
entropy is in fact an RG monotone. We compute this monotone in several
examples. Our results apply more broadly to other exact renormalization group
flow equations, including widely used specializations of Wegner-Morris flow.
Moreover, our optimal transport framework for RG allows us to reformulate RG
flow as a variational problem. This enables new numerical techniques and
establishes a systematic connection between neural network methods and RG flows
of conventional field theories.
|
[
{
"created": "Wed, 23 Feb 2022 19:02:01 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2022 20:09:02 GMT",
"version": "v2"
},
{
"created": "Sun, 12 Mar 2023 13:11:22 GMT",
"version": "v3"
}
] |
2023-07-19
|
[
[
"Cotler",
"Jordan",
""
],
[
"Rezchikov",
"Semon",
""
]
] |
We establish that Polchinski's equation for exact renormalization group flow is equivalent to the optimal transport gradient flow of a field-theoretic relative entropy. This provides a compelling information-theoretic formulation of the exact renormalization group, expressed in the language of optimal transport. A striking consequence is that a regularization of the relative entropy is in fact an RG monotone. We compute this monotone in several examples. Our results apply more broadly to other exact renormalization group flow equations, including widely used specializations of Wegner-Morris flow. Moreover, our optimal transport framework for RG allows us to reformulate RG flow as a variational problem. This enables new numerical techniques and establishes a systematic connection between neural network methods and RG flows of conventional field theories.
|
2312.00133
|
Jose Ramon Espinosa
|
J.J. Blanco-Pillado, J.R. Espinosa, J. Huertas and K. Sousa
|
Bubbles of Nothing: The Tunneling Potential Approach
|
53 pages + appendices
| null | null | null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Bubbles of nothing (BoNs) describe the decay of spacetimes with compact
dimensions and are thus of fundamental importance for many higher dimensional
theories proposed beyond the Standard Model. BoNs admit a 4-dimensional
description in terms of a singular Coleman-de Luccia (CdL) instanton involving
the size modulus field, stabilized by some potential $V(\phi)$. Using the
so-called tunneling potential ($V_t$) approach, we study which types of BoNs
are possible and for which potentials $V(\phi)$ can they be present. We
identify four different types of BoN, characterized by different asymptotic
behaviours at the BoN core and corresponding to different classes of higher
dimensional theories, which we also classify. Combining numerous analytical and
numerical examples, we study the interplay of BoN decays with other standard
decay channels, identify the possible types of quenching of BoN decays and show
how BoNs for flux compactifications can also be described in 4 dimensions by a
multifield $V_t$. The use of the $V_t$ approach greatly aids our analyses and
offers a very simple picture of BoNs which are treated in the same language as
any other standard vacuum decays.
|
[
{
"created": "Thu, 30 Nov 2023 19:00:05 GMT",
"version": "v1"
}
] |
2023-12-04
|
[
[
"Blanco-Pillado",
"J. J.",
""
],
[
"Espinosa",
"J. R.",
""
],
[
"Huertas",
"J.",
""
],
[
"Sousa",
"K.",
""
]
] |
Bubbles of nothing (BoNs) describe the decay of spacetimes with compact dimensions and are thus of fundamental importance for many higher dimensional theories proposed beyond the Standard Model. BoNs admit a 4-dimensional description in terms of a singular Coleman-de Luccia (CdL) instanton involving the size modulus field, stabilized by some potential $V(\phi)$. Using the so-called tunneling potential ($V_t$) approach, we study which types of BoNs are possible and for which potentials $V(\phi)$ can they be present. We identify four different types of BoN, characterized by different asymptotic behaviours at the BoN core and corresponding to different classes of higher dimensional theories, which we also classify. Combining numerous analytical and numerical examples, we study the interplay of BoN decays with other standard decay channels, identify the possible types of quenching of BoN decays and show how BoNs for flux compactifications can also be described in 4 dimensions by a multifield $V_t$. The use of the $V_t$ approach greatly aids our analyses and offers a very simple picture of BoNs which are treated in the same language as any other standard vacuum decays.
|
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