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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9503015
| null |
Yaw-Hwang Chen, Su-Long Nyeo
|
Effective Potential of Nambu--Jona-Lasinio Model in Differential
Regularization
|
13 pages
|
Chin.J.Phys. 33 (1995) 213-220
| null |
NCKU-HEP/95-01
|
hep-th
| null |
The method of differential regularization is applied to calculate explicitly
the one-loop effective potential of a bosonized Nambu--Jona-Lasinio model
consisting of scalar and pseudoscalar fields. The regularization scheme
independent relation for the $\sigma$ mass sum rule is obtained. This method
can be readily applied to extended NJL models with gauge fields.
|
[
{
"created": "Fri, 3 Mar 1995 14:52:51 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Chen",
"Yaw-Hwang",
""
],
[
"Nyeo",
"Su-Long",
""
]
] |
The method of differential regularization is applied to calculate explicitly the one-loop effective potential of a bosonized Nambu--Jona-Lasinio model consisting of scalar and pseudoscalar fields. The regularization scheme independent relation for the $\sigma$ mass sum rule is obtained. This method can be readily applied to extended NJL models with gauge fields.
|
0705.3201
|
Martin Rocek
|
Ulf Lindstrom, Martin Rocek, Itai Ryb, Rikard von Unge, Maxim Zabzine
|
New N = (2, 2) vector multiplets
|
16 pages
|
JHEP 0708:008,2007
|
10.1088/1126-6708/2007/08/008
|
UUITP-08/07,HIP-2007-28/TH,NORDITA-2007-15,YITP-SB-07-18
|
hep-th
| null |
We introduce two new N = (2, 2) vector multiplets that couple naturally to
generalized Kahler geometries. We describe their kinetic actions as well as
their matter couplings both in N = (2, 2) and N = (1, 1) superspace.
|
[
{
"created": "Tue, 22 May 2007 19:46:30 GMT",
"version": "v1"
}
] |
2009-04-17
|
[
[
"Lindstrom",
"Ulf",
""
],
[
"Rocek",
"Martin",
""
],
[
"Ryb",
"Itai",
""
],
[
"von Unge",
"Rikard",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We introduce two new N = (2, 2) vector multiplets that couple naturally to generalized Kahler geometries. We describe their kinetic actions as well as their matter couplings both in N = (2, 2) and N = (1, 1) superspace.
|
1606.02949
|
Diego Bombardelli
|
Diego Bombardelli
|
Lectures on S-matrices and Integrability
|
52 pages, 13 figures; v2: minor corrections and references added,
matching the published version
|
J. Phys. A: Math. Theor. 49 (2016) 323003
|
10.1088/1751-8113/49/32/323003
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In these notes we review the S-matrix theory in (1+1)-dimensional integrable
models, focusing mainly on the relativistic case. Once the main definitions and
physical properties are introduced, we discuss the factorization of scattering
processes due to integrability. We then focus on the analytic properties of the
two-particle scattering amplitude and illustrate the derivation of the
S-matrices for all the possible bound states using the so-called bootstrap
principle. General algebraic structures underlying the S-matrix theory and its
relation with the form factors axioms are briefly mentioned. Finally, we
discuss the S-matrices of sine-Gordon and SU(2), SU(3) chiral Gross-Neveu
models. This is part of a collection of lecture notes for the Young Researchers
Integrability School, organized by the GATIS network at Durham University on
6-10 July 2015.
|
[
{
"created": "Thu, 9 Jun 2016 13:15:10 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Aug 2016 18:39:44 GMT",
"version": "v2"
}
] |
2016-09-01
|
[
[
"Bombardelli",
"Diego",
""
]
] |
In these notes we review the S-matrix theory in (1+1)-dimensional integrable models, focusing mainly on the relativistic case. Once the main definitions and physical properties are introduced, we discuss the factorization of scattering processes due to integrability. We then focus on the analytic properties of the two-particle scattering amplitude and illustrate the derivation of the S-matrices for all the possible bound states using the so-called bootstrap principle. General algebraic structures underlying the S-matrix theory and its relation with the form factors axioms are briefly mentioned. Finally, we discuss the S-matrices of sine-Gordon and SU(2), SU(3) chiral Gross-Neveu models. This is part of a collection of lecture notes for the Young Researchers Integrability School, organized by the GATIS network at Durham University on 6-10 July 2015.
|
hep-th/0511186
|
Tsutomu Kobayashi
|
Tsutomu Kobayashi and Takahiro Tanaka
|
The spectrum of gravitational waves in Randall-Sundrum braneworld
cosmology
|
10 pages, 5 figures; v2: published version
|
Phys.Rev. D73 (2006) 044005
|
10.1103/PhysRevD.73.044005
|
KUNS-1995
|
hep-th astro-ph gr-qc
| null |
We study the generation and evolution of gravitational waves (tensor
perturbations) in the context of Randall-Sundrum braneworld cosmology. We
assume that the initial and final stages of the background cosmological model
are given by de Sitter and Minkowski phases, respectively, and they are
connected smoothly by a radiation-dominated phase. This setup allows us to
discuss the quantum-mechanical generation of the perturbations and to see the
final amplitude of the well-defined zero mode. Using the Wronskian formulation,
we numerically compute the power spectrum of gravitational waves, and find that
the effect of initial vacuum fluctuations in the Kaluza-Klein modes is
subdominant, contributing not more than 10% of the total power spectrum. Thus
it is confirmed that the damping due to the Kaluza-Klein mode generation and
the enhancement due to the modification of the background Friedmann equation
are the two dominant effects, but they cancel each other, leading to the same
spectral tilt as the standard four-dimensional result. Kaluza-Klein gravitons
that escape from the brane contribute to the energy density of the dark
radiation at late times. We show that a tiny amount of the dark radiation is
generated due to this process.
|
[
{
"created": "Fri, 18 Nov 2005 05:02:13 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Feb 2006 11:26:37 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Kobayashi",
"Tsutomu",
""
],
[
"Tanaka",
"Takahiro",
""
]
] |
We study the generation and evolution of gravitational waves (tensor perturbations) in the context of Randall-Sundrum braneworld cosmology. We assume that the initial and final stages of the background cosmological model are given by de Sitter and Minkowski phases, respectively, and they are connected smoothly by a radiation-dominated phase. This setup allows us to discuss the quantum-mechanical generation of the perturbations and to see the final amplitude of the well-defined zero mode. Using the Wronskian formulation, we numerically compute the power spectrum of gravitational waves, and find that the effect of initial vacuum fluctuations in the Kaluza-Klein modes is subdominant, contributing not more than 10% of the total power spectrum. Thus it is confirmed that the damping due to the Kaluza-Klein mode generation and the enhancement due to the modification of the background Friedmann equation are the two dominant effects, but they cancel each other, leading to the same spectral tilt as the standard four-dimensional result. Kaluza-Klein gravitons that escape from the brane contribute to the energy density of the dark radiation at late times. We show that a tiny amount of the dark radiation is generated due to this process.
|
hep-th/0311105
|
Miao Li
|
Miao Li
|
Macroscopic Black Holes, Microscopic Black Holes and Noncommutative
Membrane
|
10 pages, harvmac; v2: refs. added
|
Class.Quant.Grav. 21 (2004) 3571-3578
|
10.1088/0264-9381/21/14/016
| null |
hep-th gr-qc
| null |
We study the stretched membrane of a black hole as consisting of a perfect
fluid. We find that the pressure of this fluid is negative and the specific
heat is negative too. A surprising result is that if we are to assume the fluid
be composed of some quanta, then the dispersion relation of the fundamental
quantum is $E=m^2/k$, with $m$ at the scale of the Planck mass. There are two
possible interpretation of this dispersion relation, one is the noncommutative
spacetime on the stretched membrane, another is that the fundamental quantum is
microscopic black holes.
|
[
{
"created": "Thu, 13 Nov 2003 13:17:49 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Nov 2003 14:16:45 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Apr 2004 11:29:46 GMT",
"version": "v3"
},
{
"created": "Sat, 29 May 2004 06:59:30 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Li",
"Miao",
""
]
] |
We study the stretched membrane of a black hole as consisting of a perfect fluid. We find that the pressure of this fluid is negative and the specific heat is negative too. A surprising result is that if we are to assume the fluid be composed of some quanta, then the dispersion relation of the fundamental quantum is $E=m^2/k$, with $m$ at the scale of the Planck mass. There are two possible interpretation of this dispersion relation, one is the noncommutative spacetime on the stretched membrane, another is that the fundamental quantum is microscopic black holes.
|
2404.05380
|
Pichet Vanichchapongjaroen
|
Sujiphat Janaun, Anajak Phonchantuek, Pichet Vanichchapongjaroen
|
Nonlinear chiral forms in the Sen formulation
|
35 pages, no figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Sen formulation for chiral $(2p)$-form in $4p+2$ dimensions describes a
system with two separate sectors, one is physical while the other is
unphysical. Each contains a chiral form and a metric. In this paper, we focus
on the cases where the self-duality condition for the unphysical sector is
linear while for the physical sector can be nonlinear. We show that in order
for the decoupling to be realised at the Hamiltonian and Lagrangian levels, the
action should take a certain form. The decoupling at the Hamiltonian level
follows the idea in the literature. Then by an appropriate field redefinition
of the corresponding first-order Lagrangian, the separation at the Lagrangian
level follows. We derive the diffeomorphism of the theory in the case where the
chiral form in the physical sector is nonlinear and couple to external
$(2p+1)$-form field. Explicit forms of Sen theories are also discussed. The
Lagrangian for the quadratic theory is separated into two Henneaux-Teitelboim
Lagrangians. We also discuss the method of generating explicit nonlinear
theories with $p=1$ is discussed. Finally, we also show that the M5-brane
action in the Sen formulation is separated into a Henneaux-Teitleboim action in
unphysical sector and a gauge-fixed PST in physical sector.
|
[
{
"created": "Mon, 8 Apr 2024 10:35:05 GMT",
"version": "v1"
}
] |
2024-04-09
|
[
[
"Janaun",
"Sujiphat",
""
],
[
"Phonchantuek",
"Anajak",
""
],
[
"Vanichchapongjaroen",
"Pichet",
""
]
] |
The Sen formulation for chiral $(2p)$-form in $4p+2$ dimensions describes a system with two separate sectors, one is physical while the other is unphysical. Each contains a chiral form and a metric. In this paper, we focus on the cases where the self-duality condition for the unphysical sector is linear while for the physical sector can be nonlinear. We show that in order for the decoupling to be realised at the Hamiltonian and Lagrangian levels, the action should take a certain form. The decoupling at the Hamiltonian level follows the idea in the literature. Then by an appropriate field redefinition of the corresponding first-order Lagrangian, the separation at the Lagrangian level follows. We derive the diffeomorphism of the theory in the case where the chiral form in the physical sector is nonlinear and couple to external $(2p+1)$-form field. Explicit forms of Sen theories are also discussed. The Lagrangian for the quadratic theory is separated into two Henneaux-Teitelboim Lagrangians. We also discuss the method of generating explicit nonlinear theories with $p=1$ is discussed. Finally, we also show that the M5-brane action in the Sen formulation is separated into a Henneaux-Teitleboim action in unphysical sector and a gauge-fixed PST in physical sector.
|
hep-th/9212015
|
Amihay Hanany
|
Gregory Falkovich and Amihay Hanany
|
Spectra of Conformal Turbulence
|
14 pages, WIS-92/88/Nov-PH
| null | null | null |
hep-th cond-mat
| null |
A set of different conformal solutions corresponding to a constant flux of
squared vorticity is considered. Requiring constant fluxes of all inviscid
vorticity invariants (higher powers of the vorticity), we come to the
conclusion that the general turbulence spectrum should be given by Kraichnan's
expression $E(k)\propto k\sp{-3}$. This spectrum, in particular, can be
obtained as a limit of some subsequences of the conformal solutions.
|
[
{
"created": "Wed, 2 Dec 1992 12:48:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Falkovich",
"Gregory",
""
],
[
"Hanany",
"Amihay",
""
]
] |
A set of different conformal solutions corresponding to a constant flux of squared vorticity is considered. Requiring constant fluxes of all inviscid vorticity invariants (higher powers of the vorticity), we come to the conclusion that the general turbulence spectrum should be given by Kraichnan's expression $E(k)\propto k\sp{-3}$. This spectrum, in particular, can be obtained as a limit of some subsequences of the conformal solutions.
|
hep-th/0605049
|
Jarah Evslin
|
Jarah Evslin
|
Twisted K-Theory as a BRST Cohomology
|
31 pages, no figures
| null | null | null |
hep-th
| null |
We use the BRST formalism to classify the gauge orbits of type II string
theory's Ramond-Ramond (RR) field strengths under large RR gauge
transformations of the RR gauge potentials. We find that this construction is
identical to the Atiyah-Hirzebruch spectral sequence construction of twisted
K-theory, where the Atiyah-Hirzebruch differentials are the BRST operators. The
actions of the large gauge transformations on the field strengths that lie in
an integral lattice of de Rham cohomology are found using supergravity, while
the action on Z_2 torsion classes is found using the Freed-Witten anomaly. We
speculate that an S-duality covariant classification may be obtained by
including NSNS gauge transformations and using the BV formalism. An example of
a Z_3 torsion generalization of the Freed-Witten anomaly is provided.
|
[
{
"created": "Thu, 4 May 2006 10:46:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Evslin",
"Jarah",
""
]
] |
We use the BRST formalism to classify the gauge orbits of type II string theory's Ramond-Ramond (RR) field strengths under large RR gauge transformations of the RR gauge potentials. We find that this construction is identical to the Atiyah-Hirzebruch spectral sequence construction of twisted K-theory, where the Atiyah-Hirzebruch differentials are the BRST operators. The actions of the large gauge transformations on the field strengths that lie in an integral lattice of de Rham cohomology are found using supergravity, while the action on Z_2 torsion classes is found using the Freed-Witten anomaly. We speculate that an S-duality covariant classification may be obtained by including NSNS gauge transformations and using the BV formalism. An example of a Z_3 torsion generalization of the Freed-Witten anomaly is provided.
|
1204.1027
|
Luigi Pilo
|
D. Comelli, M. Crisostomi, F. Nesti, L. Pilo
|
Degrees of Freedom in Massive Gravity
|
5 pages. Final version published in PRD rapid communications
| null |
10.1103/PhysRevD.86.101502
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study in a systematic way a generic nonderivative (massive) deformation of
general relativity using the Hamiltonian formalism. The number of propagating
degrees of freedom is analyzed in a nonperturbative and background independent
way. We show that the condition of having only five propagating degrees of
freedom can be cast in a set of differential equations for the deforming
potential. Though the conditions are rather restrictive, many solutions can be
found.
|
[
{
"created": "Wed, 4 Apr 2012 18:54:48 GMT",
"version": "v1"
},
{
"created": "Sun, 6 May 2012 16:48:10 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Feb 2013 13:49:00 GMT",
"version": "v3"
}
] |
2013-02-20
|
[
[
"Comelli",
"D.",
""
],
[
"Crisostomi",
"M.",
""
],
[
"Nesti",
"F.",
""
],
[
"Pilo",
"L.",
""
]
] |
We study in a systematic way a generic nonderivative (massive) deformation of general relativity using the Hamiltonian formalism. The number of propagating degrees of freedom is analyzed in a nonperturbative and background independent way. We show that the condition of having only five propagating degrees of freedom can be cast in a set of differential equations for the deforming potential. Though the conditions are rather restrictive, many solutions can be found.
|
1907.13197
|
David M. Schmidtt
|
H\'ector A. Ben\'itez and David M. Schmidtt
|
$\lambda$-Deformation Of The $AdS_{5}\times S^{5}$ Pure Spinor
Superstring
|
Published version, 28 pages
| null |
10.1007/JHEP10(2019)108
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The lambda deformation of the pure spinor formalism of the superstring in the
$AdS_{5}\times S^{5}$ background is introduced. It is shown that the
deformation preserves the integrability as well as the one-loop conformal
invariance of its parent theory. It is also shown that the effective action
takes the standard form of the Berkovits-Howe action functional, allowing to
calculate the deformed background supergeometry in a straightforward way. The
background fields coincide with those of the lambda model of the Green-Schwarz
formalism, hence satisfying the same set of supergravity equations of motion.
|
[
{
"created": "Tue, 30 Jul 2019 19:44:15 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Aug 2019 19:21:20 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Oct 2019 20:14:44 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Oct 2019 12:58:03 GMT",
"version": "v4"
}
] |
2019-10-21
|
[
[
"Benítez",
"Héctor A.",
""
],
[
"Schmidtt",
"David M.",
""
]
] |
The lambda deformation of the pure spinor formalism of the superstring in the $AdS_{5}\times S^{5}$ background is introduced. It is shown that the deformation preserves the integrability as well as the one-loop conformal invariance of its parent theory. It is also shown that the effective action takes the standard form of the Berkovits-Howe action functional, allowing to calculate the deformed background supergeometry in a straightforward way. The background fields coincide with those of the lambda model of the Green-Schwarz formalism, hence satisfying the same set of supergravity equations of motion.
|
1508.06557
|
S. Weinzierl
|
Leonardo de la Cruz, Alexander Kniss and Stefan Weinzierl
|
The CHY representation of tree-level primitive QCD amplitudes
|
32 pages, version to be published
| null |
10.1007/JHEP11(2015)217
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we construct a CHY representation for all tree-level primitive
QCD amplitudes. The quarks may be massless or massive. We define a generalised
cyclic factor $\hat{C}(w,z)$ and a generalised permutation invariant function
$\hat{E}(z,p,\varepsilon)$. The amplitude is then given as a contour integral
encircling the solutions of the scattering equations with the product $\hat{C}
\hat{E}$ as integrand. Equivalently, it is given as a sum over the inequivalent
solutions of the scattering equations, where the summand consists of a Jacobian
times the product $\hat{C} \hat{E}$. This representation separates information:
The generalised cyclic factor does not depend on the helicities of the external
particles, the generalised permutation invariant function does not depend on
the ordering of the external particles.
|
[
{
"created": "Wed, 26 Aug 2015 16:25:04 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 2015 20:17:48 GMT",
"version": "v2"
}
] |
2016-03-23
|
[
[
"de la Cruz",
"Leonardo",
""
],
[
"Kniss",
"Alexander",
""
],
[
"Weinzierl",
"Stefan",
""
]
] |
In this paper we construct a CHY representation for all tree-level primitive QCD amplitudes. The quarks may be massless or massive. We define a generalised cyclic factor $\hat{C}(w,z)$ and a generalised permutation invariant function $\hat{E}(z,p,\varepsilon)$. The amplitude is then given as a contour integral encircling the solutions of the scattering equations with the product $\hat{C} \hat{E}$ as integrand. Equivalently, it is given as a sum over the inequivalent solutions of the scattering equations, where the summand consists of a Jacobian times the product $\hat{C} \hat{E}$. This representation separates information: The generalised cyclic factor does not depend on the helicities of the external particles, the generalised permutation invariant function does not depend on the ordering of the external particles.
|
hep-th/0104127
|
Marco Scandurra
|
M. Scandurra (Pisa U.)
|
Thermodynamic properties of the quantum vacuum
|
15 pages, 1 figure; corrected typos
| null | null | null |
hep-th
| null |
An extension of the fundamental laws of thermodynamics and of the concept of
entropy to the ground state fluctuations of the quantum fields is studied and
some new results are found. At the end a device to extract energy from the
vacuum recently proposed by an author is critically analyzed. It is found that
no energy can be extracted cyclically from the vacuum.
|
[
{
"created": "Sat, 14 Apr 2001 11:32:54 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Apr 2001 09:35:10 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Apr 2001 10:59:39 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Scandurra",
"M.",
"",
"Pisa U."
]
] |
An extension of the fundamental laws of thermodynamics and of the concept of entropy to the ground state fluctuations of the quantum fields is studied and some new results are found. At the end a device to extract energy from the vacuum recently proposed by an author is critically analyzed. It is found that no energy can be extracted cyclically from the vacuum.
|
hep-th/0302061
|
Gang Zhao
|
Gang Zhao
|
A Model of Quantum Field Theory with Inter Source
|
6 pages, RevTex
| null | null | null |
hep-th
| null |
By putting a confined inter source, we construct a model which can give us
convergent solution from free field equation. On the other hand, the solution
of new field equation can be separated into two parts, one part is just same as
the one in Quantum Field Theory and make it survived in this model, and the
other part, which we will see doesn't take energy and momentum, just gives us a
negative propagator which can soften quadratic divergence.
|
[
{
"created": "Mon, 10 Feb 2003 07:04:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zhao",
"Gang",
""
]
] |
By putting a confined inter source, we construct a model which can give us convergent solution from free field equation. On the other hand, the solution of new field equation can be separated into two parts, one part is just same as the one in Quantum Field Theory and make it survived in this model, and the other part, which we will see doesn't take energy and momentum, just gives us a negative propagator which can soften quadratic divergence.
|
2205.11157
|
Amin Nizami
|
Aditya Jain and Amin A. Nizami
|
Superconformal invariants and spinning correlators in 3d $\cal{N}=2$
SCFTs
|
v3, 27 pages; a few typos corrected and a footnote added; final
version published in EPJC (Particles and Fields)
|
Eur.Phys.J.C 82 (2022) 11, 1065
|
10.1140/epjc/s10052-022-11016-2
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We construct superconformal invariants in superspace which are used to build
3-point correlators of spinning operators in general $\cal{N}=2$ superconformal
field theories in three dimensions. Our systematic analysis includes various
relations between these invariants and provides a minimal set of parity-even
and parity-odd invariants which is further used to construct general 3-point
functions in any 3d $\cal{N}=2$ SCFT. For conserved (super)currents, we
explicitly compute various 3-point functions using Wick contractions in the
free field case, and express them in terms of the constructed parity-even
invariants. We give evidence through examples for the claim that the 3-point
function of conserved currents generally comprises of two parts - a parity-even
piece coming from the free theory, and a parity-odd piece.
|
[
{
"created": "Mon, 23 May 2022 09:42:14 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jun 2022 05:04:34 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Dec 2022 12:03:35 GMT",
"version": "v3"
}
] |
2022-12-22
|
[
[
"Jain",
"Aditya",
""
],
[
"Nizami",
"Amin A.",
""
]
] |
We construct superconformal invariants in superspace which are used to build 3-point correlators of spinning operators in general $\cal{N}=2$ superconformal field theories in three dimensions. Our systematic analysis includes various relations between these invariants and provides a minimal set of parity-even and parity-odd invariants which is further used to construct general 3-point functions in any 3d $\cal{N}=2$ SCFT. For conserved (super)currents, we explicitly compute various 3-point functions using Wick contractions in the free field case, and express them in terms of the constructed parity-even invariants. We give evidence through examples for the claim that the 3-point function of conserved currents generally comprises of two parts - a parity-even piece coming from the free theory, and a parity-odd piece.
|
2002.04036
|
Marco Fazzi
|
Oren Bergman, Marco Fazzi, Diego Rodr\'iguez-G\'omez, and Alessandro
Tomasiello
|
Charges and holography in 6d (1,0) theories
|
43 pages, 12 figures, 2 appendices
| null |
10.1007/JHEP05(2020)138
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the recently proposed AdS$_7$/CFT$_6$ dualities for a class of 6d
$\mathcal{N} = (1,0)$ theories that flow on the tensor branch to long linear
quiver gauge theories. We find a precise agreement in the symmetries and in the
spectrum of charged states between the 6d SCFTs and their conjectured AdS$_7$
duals. We also confirm a recent conjecture that a discrete $S_N$ symmetry
relating the baryons in the quiver theories is in fact gauged.
|
[
{
"created": "Mon, 10 Feb 2020 19:00:00 GMT",
"version": "v1"
}
] |
2020-06-24
|
[
[
"Bergman",
"Oren",
""
],
[
"Fazzi",
"Marco",
""
],
[
"Rodríguez-Gómez",
"Diego",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] |
We study the recently proposed AdS$_7$/CFT$_6$ dualities for a class of 6d $\mathcal{N} = (1,0)$ theories that flow on the tensor branch to long linear quiver gauge theories. We find a precise agreement in the symmetries and in the spectrum of charged states between the 6d SCFTs and their conjectured AdS$_7$ duals. We also confirm a recent conjecture that a discrete $S_N$ symmetry relating the baryons in the quiver theories is in fact gauged.
|
0910.1586
|
Vijay Kumar
|
Vijay Kumar and Washington Taylor
|
A bound on 6D N=1 supergravities
|
23 pages, no figures; two paragraphs added to the proof in Appendix A
covering the SU(2) and SU(3) case, other minor corrections
| null |
10.1088/1126-6708/2009/12/050
|
MIT-CTP-4077
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove that there are only finitely many distinct semi-simple gauge groups
and matter representations possible in consistent 6D chiral (1,0) supergravity
theories with one tensor multiplet. The proof relies only on features of the
low-energy theory; the consistency conditions we impose are that anomalies
should be cancelled by the Green-Schwarz mechanism, and that the kinetic terms
for all fields should be positive in some region of moduli space. This result
does not apply to the case of the non-chiral (1,1) supergravities, which are
not constrained by anomaly cancellation.
|
[
{
"created": "Thu, 8 Oct 2009 20:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Oct 2009 04:02:20 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Dec 2009 05:54:50 GMT",
"version": "v3"
}
] |
2015-05-14
|
[
[
"Kumar",
"Vijay",
""
],
[
"Taylor",
"Washington",
""
]
] |
We prove that there are only finitely many distinct semi-simple gauge groups and matter representations possible in consistent 6D chiral (1,0) supergravity theories with one tensor multiplet. The proof relies only on features of the low-energy theory; the consistency conditions we impose are that anomalies should be cancelled by the Green-Schwarz mechanism, and that the kinetic terms for all fields should be positive in some region of moduli space. This result does not apply to the case of the non-chiral (1,1) supergravities, which are not constrained by anomaly cancellation.
|
hep-th/0302176
|
V. P. Nair
|
V. P. Nair and A. Yelnikov
|
On the invariant measure for the Yang-Mills configuration space in (3+1)
dimensions
|
LaTeX, 14 pages
|
Nucl.Phys. B691 (2004) 182-194
|
10.1016/j.nuclphysb.2004.05.008
|
CCNY-HEP-03/1
|
hep-th
| null |
We consider a gauge-invariant Hamiltonian analysis for Yang-Mills theories in
three spatial dimensions. The gauge potentials are parametrized in terms of a
matrix variable which facilitates the elimination of the gauge degrees of
freedom. We develop an approximate calculation of the volume element on the
gauge-invariant configuration space. We also make a rough estimate of the ratio
of $0^{++}$ glueball mass and the square root of string tension by comparison
with $(2+1)$-dimensional Yang-Mills theory.
|
[
{
"created": "Sat, 22 Feb 2003 02:34:55 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jan 2004 04:14:28 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Nair",
"V. P.",
""
],
[
"Yelnikov",
"A.",
""
]
] |
We consider a gauge-invariant Hamiltonian analysis for Yang-Mills theories in three spatial dimensions. The gauge potentials are parametrized in terms of a matrix variable which facilitates the elimination of the gauge degrees of freedom. We develop an approximate calculation of the volume element on the gauge-invariant configuration space. We also make a rough estimate of the ratio of $0^{++}$ glueball mass and the square root of string tension by comparison with $(2+1)$-dimensional Yang-Mills theory.
|
1412.5217
|
Stefanos Katmadas
|
Guillaume Bossard and Stefanos Katmadas
|
Floating JMaRT
|
26 pages, v2: typos corrected
| null |
10.1007/JHEP04(2015)067
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a new partially solvable system of equations that parametrises
solutions to six-dimensional N=(1,0) ungauged supergravity coupled to tensor
multiplets. We obtain this system by applying a series of dualities on the
known floating brane system, imposing that it allows for the JMaRT solution. We
construct an explicit multi-centre solution generalising the JMaRT solution,
with an arbitrary number of additional BPS centres on a line. We describe
explicitly the embedding of the JMaRT solution in this system in five
dimensions.
|
[
{
"created": "Tue, 16 Dec 2014 22:36:59 GMT",
"version": "v1"
},
{
"created": "Sat, 30 May 2015 11:40:22 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Bossard",
"Guillaume",
""
],
[
"Katmadas",
"Stefanos",
""
]
] |
We define a new partially solvable system of equations that parametrises solutions to six-dimensional N=(1,0) ungauged supergravity coupled to tensor multiplets. We obtain this system by applying a series of dualities on the known floating brane system, imposing that it allows for the JMaRT solution. We construct an explicit multi-centre solution generalising the JMaRT solution, with an arbitrary number of additional BPS centres on a line. We describe explicitly the embedding of the JMaRT solution in this system in five dimensions.
|
1910.05741
|
Jung Hun Lee
|
Chanyong Park, Jung Hun Lee
|
Exotic RG Flow of Entanglement Entropy
|
20 pages, 9 figures
|
Phys. Rev. D 101, 086008 (2020)
|
10.1103/PhysRevD.101.086008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we holographically study the renormalization group (RG) flow
in a three-dimensional Einstein-dilaton gravity with a potential permitting
several types of the RG flow with nontrivial beta-functions. By using the
intrinsic parameter of the potential, we classify possible holographic RG flows
and examine their physical features. Using the Ryu-Takayanagi formulation,
furthermore, we investigate how the $c$-function of the entanglement entropy
behaves along the RG flow numerically. We show that the entanglement
$c$-function monotonically decreases even in the cases with a nontrivial
beta-function. For checking the consistency, we also compare the result of the
entanglement entropy with the $c$-function derived from the holographic
renormalization procedure.
|
[
{
"created": "Sun, 13 Oct 2019 12:39:43 GMT",
"version": "v1"
}
] |
2020-04-15
|
[
[
"Park",
"Chanyong",
""
],
[
"Lee",
"Jung Hun",
""
]
] |
In this paper, we holographically study the renormalization group (RG) flow in a three-dimensional Einstein-dilaton gravity with a potential permitting several types of the RG flow with nontrivial beta-functions. By using the intrinsic parameter of the potential, we classify possible holographic RG flows and examine their physical features. Using the Ryu-Takayanagi formulation, furthermore, we investigate how the $c$-function of the entanglement entropy behaves along the RG flow numerically. We show that the entanglement $c$-function monotonically decreases even in the cases with a nontrivial beta-function. For checking the consistency, we also compare the result of the entanglement entropy with the $c$-function derived from the holographic renormalization procedure.
|
2008.03045
|
Li Lin Yang
|
Jiaqi Chen, Xuhang Jiang, Xiaofeng Xu, Li Lin Yang
|
Constructing Canonical Feynman Integrals with Intersection Theory
|
v2: journal version
| null |
10.1016/j.physletb.2021.136085
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Canonical Feynman integrals are of great interest in the study of scattering
amplitudes at the multi-loop level. We propose to construct $d\log$-form
integrals of the hypergeometric type, treat them as a representation of Feynman
integrals, and project them into master integrals using intersection theory.
This provides a constructive way to build canonical master integrals whose
differential equations can be solved easily. We use our method to investigate
both the maximally cut integrals and the uncut ones at one and two loops, and
demonstrate its applicability in problems with multiple scales.
|
[
{
"created": "Fri, 7 Aug 2020 08:59:44 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jan 2021 16:02:33 GMT",
"version": "v2"
}
] |
2021-02-03
|
[
[
"Chen",
"Jiaqi",
""
],
[
"Jiang",
"Xuhang",
""
],
[
"Xu",
"Xiaofeng",
""
],
[
"Yang",
"Li Lin",
""
]
] |
Canonical Feynman integrals are of great interest in the study of scattering amplitudes at the multi-loop level. We propose to construct $d\log$-form integrals of the hypergeometric type, treat them as a representation of Feynman integrals, and project them into master integrals using intersection theory. This provides a constructive way to build canonical master integrals whose differential equations can be solved easily. We use our method to investigate both the maximally cut integrals and the uncut ones at one and two loops, and demonstrate its applicability in problems with multiple scales.
|
0704.2751
|
Jorge Alfaro
|
Jorge Alfaro
|
Quantum Gravity and Maximum Attainable Velocities in the Standard Model
|
latex, 9 pages, Talk at the VI Silafae, Puerto Vallarta, Mexico,
November 1-8,2006. Added references
|
AIPConf.Proc.917:161-169,2007
|
10.1063/1.2751953
| null |
hep-th
| null |
A main difficulty in the quantization of the gravitational field is the lack
of experiments that discriminate among the theories proposed to quantize
gravity. Recently we showed that the Standard Model(SM) itself contains tiny
Lorentz invariance violation(LIV) terms coming from QG. All terms depend on one
arbitrary parameter $\alpha$ that set the scale of QG effects. In this talk we
review the LIV for mesons nucleons and leptons and apply it to study several
effects, including the GZK anomaly.
|
[
{
"created": "Fri, 20 Apr 2007 17:05:45 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2007 16:01:00 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Alfaro",
"Jorge",
""
]
] |
A main difficulty in the quantization of the gravitational field is the lack of experiments that discriminate among the theories proposed to quantize gravity. Recently we showed that the Standard Model(SM) itself contains tiny Lorentz invariance violation(LIV) terms coming from QG. All terms depend on one arbitrary parameter $\alpha$ that set the scale of QG effects. In this talk we review the LIV for mesons nucleons and leptons and apply it to study several effects, including the GZK anomaly.
|
1602.05196
|
Mehrdad Mirbabayi
|
Mehrdad Mirbabayi and Marko Simonovi\'c
|
Weinberg Soft Theorems from Weinberg Adiabatic Modes
|
27+16
| null | null | null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Soft theorems for the scattering of low energy photons and gravitons and
cosmological consistency conditions on the squeezed-limit correlation functions
are both understood to be consequences of invariance under large gauge
transformations. We apply the same method used in cosmology -- based on the
identification of an infinite set of "adiabatic modes" and the corresponding
conserved currents -- to derive flat space soft theorems for electrodynamics
and gravity. We discuss how the recent derivations based on the asymptotic
symmetry groups (BMS) can be continued to a finite size sphere surrounding the
scattering event, when the soft photon or graviton has a finite momentum. We
give a finite distance derivation of the antipodal matching condition
previously imposed between future and past null infinities, and explain why all
but one radiative degrees of freedom decouple in the soft limit. In contrast to
earlier works on BMS, we work with adiabatic modes which correspond to large
gauge transformations that are $r$-dependent.
|
[
{
"created": "Tue, 16 Feb 2016 21:00:04 GMT",
"version": "v1"
}
] |
2016-02-18
|
[
[
"Mirbabayi",
"Mehrdad",
""
],
[
"Simonović",
"Marko",
""
]
] |
Soft theorems for the scattering of low energy photons and gravitons and cosmological consistency conditions on the squeezed-limit correlation functions are both understood to be consequences of invariance under large gauge transformations. We apply the same method used in cosmology -- based on the identification of an infinite set of "adiabatic modes" and the corresponding conserved currents -- to derive flat space soft theorems for electrodynamics and gravity. We discuss how the recent derivations based on the asymptotic symmetry groups (BMS) can be continued to a finite size sphere surrounding the scattering event, when the soft photon or graviton has a finite momentum. We give a finite distance derivation of the antipodal matching condition previously imposed between future and past null infinities, and explain why all but one radiative degrees of freedom decouple in the soft limit. In contrast to earlier works on BMS, we work with adiabatic modes which correspond to large gauge transformations that are $r$-dependent.
|
hep-th/9705116
|
Washington Taylor
|
Washington Taylor (Princeton U.)
|
Adhering 0-branes to 6-branes and 8-branes
|
16 pages, LaTeX; reference added
|
Nucl.Phys.B508:122-132,1997
|
10.1016/S0550-3213(97)80006-5
|
PUPT-1704
|
hep-th
| null |
A Yang-Mills solution is constructed on T^6 which corresponds to a brane
configuration composed purely of 0-branes and 6-branes. This configuration
breaks all supersymmetries and has an energy greater than the sum of the
energies of its components; nonetheless, the configuration is stable
classically, at least to quadratic order. An analogous construction is also
given for a system of 0-branes and 8-branes on T^8. These constructions may
prove to be useful for describing 6-branes and 8-branes in M(atrix) theory.
|
[
{
"created": "Thu, 15 May 1997 21:03:39 GMT",
"version": "v1"
},
{
"created": "Mon, 19 May 1997 20:59:28 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Taylor",
"Washington",
"",
"Princeton U."
]
] |
A Yang-Mills solution is constructed on T^6 which corresponds to a brane configuration composed purely of 0-branes and 6-branes. This configuration breaks all supersymmetries and has an energy greater than the sum of the energies of its components; nonetheless, the configuration is stable classically, at least to quadratic order. An analogous construction is also given for a system of 0-branes and 8-branes on T^8. These constructions may prove to be useful for describing 6-branes and 8-branes in M(atrix) theory.
|
1003.1722
|
Scott Watson
|
Minjoon Park, Scott Watson, and Kathryn M. Zurek
|
A Unified Approach to Cosmic Acceleration
|
33 pages, 1 fig., references added, improved comments regarding the
connection with non-perturbatively constructed backgrounds.
|
Phys.Rev.D81:124008,2010
|
10.1103/PhysRevD.81.124008
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a unified framework for the study of late time cosmic
acceleration. Using methods of effective field theory, we show that existing
proposals for late time acceleration can be subsumed in a single framework,
rather than many compartmentalized theories. We construct the most general
action consistent with symmetry principles, derive the background and
perturbation evolution equations, and demonstrate that for special choices of
our parameters we can reproduce results already existing in the literature.
Lastly, we lay the foundation for future work placing phenomenological
constraints on the parameters of the effective theory. Although in this paper
we focus on late time acceleration, our construction also generalizes the
effective field theory of inflation to the scalar-tensor and multi-field case
for perturbatively constructed backgrounds.
|
[
{
"created": "Mon, 8 Mar 2010 21:01:36 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2010 21:03:11 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Park",
"Minjoon",
""
],
[
"Watson",
"Scott",
""
],
[
"Zurek",
"Kathryn M.",
""
]
] |
We present a unified framework for the study of late time cosmic acceleration. Using methods of effective field theory, we show that existing proposals for late time acceleration can be subsumed in a single framework, rather than many compartmentalized theories. We construct the most general action consistent with symmetry principles, derive the background and perturbation evolution equations, and demonstrate that for special choices of our parameters we can reproduce results already existing in the literature. Lastly, we lay the foundation for future work placing phenomenological constraints on the parameters of the effective theory. Although in this paper we focus on late time acceleration, our construction also generalizes the effective field theory of inflation to the scalar-tensor and multi-field case for perturbatively constructed backgrounds.
|
hep-th/0606076
|
James Lucietti
|
Hari K. Kunduri, James Lucietti, Harvey S. Reall
|
Gravitational Perturbations of Higher Dimensional Rotating Black Holes:
Tensor Perturbations
|
latex, 29 pages, 5 figures. v2 reference added. v3 title changed,
note added on classification of perturbations (this paper deals with the most
general tensor perturbations)
|
Phys.Rev.D74:084021,2006
|
10.1103/PhysRevD.74.084021
|
DAMTP-2006-46
|
hep-th gr-qc
| null |
Assessing the stability of higher-dimensional rotating black holes requires a
study of linearized gravitational perturbations around such backgrounds. We
study perturbations of Myers-Perry black holes with equal angular momenta in an
odd number of dimensions (greater than five), allowing for a cosmological
constant. We find a class of perturbations for which the equations of motion
reduce to a single radial equation. In the asymptotically flat case we find no
evidence of any instability. In the asymptotically anti-de Sitter case, we
demonstrate the existence of a superradiant instability that sets in precisely
when the angular velocity of the black hole exceeds the speed of light from the
point of view of the conformal boundary. We suggest that the endpoint of the
instability may be a stationary, nonaxisymmetric black hole.
|
[
{
"created": "Thu, 8 Jun 2006 13:01:30 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2006 14:14:28 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Oct 2006 16:08:47 GMT",
"version": "v3"
}
] |
2009-05-29
|
[
[
"Kunduri",
"Hari K.",
""
],
[
"Lucietti",
"James",
""
],
[
"Reall",
"Harvey S.",
""
]
] |
Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd number of dimensions (greater than five), allowing for a cosmological constant. We find a class of perturbations for which the equations of motion reduce to a single radial equation. In the asymptotically flat case we find no evidence of any instability. In the asymptotically anti-de Sitter case, we demonstrate the existence of a superradiant instability that sets in precisely when the angular velocity of the black hole exceeds the speed of light from the point of view of the conformal boundary. We suggest that the endpoint of the instability may be a stationary, nonaxisymmetric black hole.
|
1204.4165
|
Mikhail Shifman
|
M. Shifman, A. Yung
|
r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric
QCD
|
61 pp., 4 figures. arXiv admin note: text overlap with
arXiv:1103.3471 and arXiv:1204.4164; v.2. One reference added, one reference
corrected, minor textual changes
| null |
10.1103/PhysRevD.86.025001
|
FTPI-MINN-12/11; UMN-TH-3038/12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider N=2 SQCD with the U(N) gauge group and N_f flavors (N_f>N)
perturbed by an N=2 breaking deformation - a small mass term \mu for the
adjoint matter. We study r-vacua, with the constraint $2N_f/3 < r \le N. At
large values of the parameter \xi\sim\mu m (m is a typical value of the quark
masses) r quark flavors condense, by construction. The effective low-energy
theory with the gauge group U(r)\times U(1)^{N-r} is at weak coupling. Upon
reducing \xi the original theory undergoes a crossover transition from weak to
strong coupling. As the original theory becomes strongly coupled, at low
energies it is described by a weakly coupled infrared-free dual theory with the
gauge group U(N_f-r)\times U(1)^{N-N_f+r} and N_f light dyon flavors. These
dyons condense triggering formation of non-Abelian strings which still confine
monopoles, rather than quarks, contrary to naive duality arguments.
"Instead-of-confinement" mechanism for quarks and gauge bosons of the original
theory takes place: screened quarks and gauge bosons of the original theory
decay, on curves of the marginal stability (CMS), into confined
monopole-antimonopole pairs that form stringy mesons.
Next, we increase the deformation parameter \mu thus decoupling the adjoint
fields. Then our theory flows to N=1 SQCD. The gauge group of the dual theory
becomes U(N_f-r). We show that the dual theory is weakly coupled if we are
sufficiently close to the Argyres-Douglas point. The "instead-of-confinement"
mechanism for quarks and gauge bosons survives in the limit of large \mu. It
determines low-energy non-Abelian dynamics in the r-vacua of N=1 SQCD.
|
[
{
"created": "Wed, 18 Apr 2012 19:05:29 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2012 17:15:21 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
We consider N=2 SQCD with the U(N) gauge group and N_f flavors (N_f>N) perturbed by an N=2 breaking deformation - a small mass term \mu for the adjoint matter. We study r-vacua, with the constraint $2N_f/3 < r \le N. At large values of the parameter \xi\sim\mu m (m is a typical value of the quark masses) r quark flavors condense, by construction. The effective low-energy theory with the gauge group U(r)\times U(1)^{N-r} is at weak coupling. Upon reducing \xi the original theory undergoes a crossover transition from weak to strong coupling. As the original theory becomes strongly coupled, at low energies it is described by a weakly coupled infrared-free dual theory with the gauge group U(N_f-r)\times U(1)^{N-N_f+r} and N_f light dyon flavors. These dyons condense triggering formation of non-Abelian strings which still confine monopoles, rather than quarks, contrary to naive duality arguments. "Instead-of-confinement" mechanism for quarks and gauge bosons of the original theory takes place: screened quarks and gauge bosons of the original theory decay, on curves of the marginal stability (CMS), into confined monopole-antimonopole pairs that form stringy mesons. Next, we increase the deformation parameter \mu thus decoupling the adjoint fields. Then our theory flows to N=1 SQCD. The gauge group of the dual theory becomes U(N_f-r). We show that the dual theory is weakly coupled if we are sufficiently close to the Argyres-Douglas point. The "instead-of-confinement" mechanism for quarks and gauge bosons survives in the limit of large \mu. It determines low-energy non-Abelian dynamics in the r-vacua of N=1 SQCD.
|
1610.04526
|
Mohammad Javad Soleimani
|
N. Abbasvandi, M. J. Soleimani, W. A. T. Wan Abdullah, Shahidan
Radiman
|
Quasinormal Modes of Charged Black Holes Localized in the
Randall-Sundrum Brane World
|
10 pages, 7 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quasinormal modes of the massless scalar field of charged black
holes embedded in the Randal-Sundrum brane world using the third order WKB
approximation. We consider the effects of the electromagnetic and tidal charges
on quasinormal frequencies spectrum for charged black hole black holes as well
as the effect of the thickness of the bulk.
|
[
{
"created": "Fri, 14 Oct 2016 16:37:25 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Mar 2017 11:41:59 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Jul 2017 13:46:32 GMT",
"version": "v3"
}
] |
2017-07-25
|
[
[
"Abbasvandi",
"N.",
""
],
[
"Soleimani",
"M. J.",
""
],
[
"Abdullah",
"W. A. T. Wan",
""
],
[
"Radiman",
"Shahidan",
""
]
] |
We study the quasinormal modes of the massless scalar field of charged black holes embedded in the Randal-Sundrum brane world using the third order WKB approximation. We consider the effects of the electromagnetic and tidal charges on quasinormal frequencies spectrum for charged black hole black holes as well as the effect of the thickness of the bulk.
|
hep-th/9611185
|
Roman Jackiw
|
R. Jackiw
|
A Nonrelativistic Chiral Soliton in One Dimension
|
11 pages, Latex2e
| null |
10.2991/jnmp.1997.4.3-4.2
|
MIT-CTP-2587
|
hep-th cond-mat dg-ga math.DG nlin.SI quant-ph solv-int
| null |
I analyze the one-dimensional, cubic Schr\"odinger equation, with
nonlinearity constructed from the current density, rather than, as is usual,
from the charge density. A soliton solution is found, where the soliton moves
only in one direction. Relation to higher-dimensional Chern--Simons theory is
indicated. The theory is quantized and results for the two-body quantum problem
agree at weak coupling with those coming from a semiclassical quantization of
the soliton.
|
[
{
"created": "Fri, 22 Nov 1996 16:28:08 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Jackiw",
"R.",
""
]
] |
I analyze the one-dimensional, cubic Schr\"odinger equation, with nonlinearity constructed from the current density, rather than, as is usual, from the charge density. A soliton solution is found, where the soliton moves only in one direction. Relation to higher-dimensional Chern--Simons theory is indicated. The theory is quantized and results for the two-body quantum problem agree at weak coupling with those coming from a semiclassical quantization of the soliton.
|
1501.01808
|
Alexandros Spyridon Arvanitakis
|
Alex S. Arvanitakis
|
On Solutions of Minimal Massive 3D Gravity
|
12 pages, references added
| null |
10.1088/0264-9381/32/11/115010
|
DAMTP-2015-2
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We look at solutions of Minimal Massive Gravity (MMG), a generalisation of
Topologically Massive Gravity (TMG) that improves upon its holographic
properties. It is shown that generically (in MMG parameter space) all
conformally flat solutions of vacuum MMG are locally isometric to one of the
two (A)dS vacua of the theory. We then couple a scalar field, and find that
domain wall solutions can only interpolate between these two vacua precisely
when the bulk graviton is tachyonic. Finally, we find a non-BTZ AdS black hole
solution satisfying Brown-Henneaux boundary conditions, which lies within the
"bulk/ boundary unitarity region".
|
[
{
"created": "Thu, 8 Jan 2015 11:50:34 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jan 2015 17:44:48 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Arvanitakis",
"Alex S.",
""
]
] |
We look at solutions of Minimal Massive Gravity (MMG), a generalisation of Topologically Massive Gravity (TMG) that improves upon its holographic properties. It is shown that generically (in MMG parameter space) all conformally flat solutions of vacuum MMG are locally isometric to one of the two (A)dS vacua of the theory. We then couple a scalar field, and find that domain wall solutions can only interpolate between these two vacua precisely when the bulk graviton is tachyonic. Finally, we find a non-BTZ AdS black hole solution satisfying Brown-Henneaux boundary conditions, which lies within the "bulk/ boundary unitarity region".
|
1401.4491
|
David Berenstein
|
David Berenstein
|
TeV-Scale strings
|
Review paper submitted to the Annual Review of Nuclear and Particle
Science. 30 pages
| null |
10.1146/annurev-nucl-102313-025342
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article discusses the status of string physics where the string tension
is around the TeV scale. The article covers model building basics for
perturbative strings, based on D-brane configurations. The effective low energy
physics description of such string constructions is analyzed: how anomaly
cancellation is implemented, how fast proton decay is avoided and how D-brane
models lead to additional $Z'$ particles. This review also discusses direct
search bounds for strings at the TeV scale, as well as theoretical issues with
model building related to flavor physics and axions.
|
[
{
"created": "Fri, 17 Jan 2014 23:34:04 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Berenstein",
"David",
""
]
] |
This article discusses the status of string physics where the string tension is around the TeV scale. The article covers model building basics for perturbative strings, based on D-brane configurations. The effective low energy physics description of such string constructions is analyzed: how anomaly cancellation is implemented, how fast proton decay is avoided and how D-brane models lead to additional $Z'$ particles. This review also discusses direct search bounds for strings at the TeV scale, as well as theoretical issues with model building related to flavor physics and axions.
|
1110.5143
|
Michael Kuchiev
|
Michael Kuchiev
|
Simple look at supersymmetric N=2 gauge theory with arbitrary gauge
group
|
14 pages 6 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new discrete symmetry is shown to govern and simplify low-energy properties
of the supersymmetric N=2 gauge theory with an arbitrary gauge group. Each
element of the related symmetry group S_r, r being the rank of the gauge group,
represents a permutation of r electric charges available in the theory
accompanied by a concurrent permutation of r monopoles, provided the sets of
charges and monopoles are chosen properly. The superpotential is symmetric
under S_r. This symmetry strongly manifests itself for the degenerate case;
when the masses of r electric charges are chosen to be equal, then the masses
of r monopoles are necessarily degenerate as well, and vice versa. This
condition uniquely defines the vital for the theory VEV of the scalar field,
which makes all monopoles massless.
|
[
{
"created": "Mon, 24 Oct 2011 07:11:50 GMT",
"version": "v1"
}
] |
2011-10-25
|
[
[
"Kuchiev",
"Michael",
""
]
] |
A new discrete symmetry is shown to govern and simplify low-energy properties of the supersymmetric N=2 gauge theory with an arbitrary gauge group. Each element of the related symmetry group S_r, r being the rank of the gauge group, represents a permutation of r electric charges available in the theory accompanied by a concurrent permutation of r monopoles, provided the sets of charges and monopoles are chosen properly. The superpotential is symmetric under S_r. This symmetry strongly manifests itself for the degenerate case; when the masses of r electric charges are chosen to be equal, then the masses of r monopoles are necessarily degenerate as well, and vice versa. This condition uniquely defines the vital for the theory VEV of the scalar field, which makes all monopoles massless.
|
hep-th/0110050
|
Keshav Dasgupta
|
Keshav Dasgupta, Kyungho Oh, Jaemo Park, Radu Tatar
|
Geometric Transition versus Cascading Solution
|
34 pages, LaTex, 2 figures; v2: Some comments added and references
updated. Final version to appear in JHEP
|
JHEP 0201 (2002) 031
|
10.1088/1126-6708/2002/01/031
|
SU-ITP-01/39, HUTP-01/A044, HU-EP-01/35
|
hep-th
| null |
We study Vafa's geometric transition and Klebanov - Strassler solution from
various points of view in M-theory. In terms of brane configurations, we show
the detailed equivalences between the two models. In some limits, both models
have an alternative realization as fourfolds in M-theory with appropriate
G-fluxes turned on. We discuss some aspects of the fourfolds including how to
see the transition and a possible extension to the non-supersymmetric case.
|
[
{
"created": "Thu, 4 Oct 2001 22:10:27 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Oct 2001 00:44:48 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jan 2002 02:25:30 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Dasgupta",
"Keshav",
""
],
[
"Oh",
"Kyungho",
""
],
[
"Park",
"Jaemo",
""
],
[
"Tatar",
"Radu",
""
]
] |
We study Vafa's geometric transition and Klebanov - Strassler solution from various points of view in M-theory. In terms of brane configurations, we show the detailed equivalences between the two models. In some limits, both models have an alternative realization as fourfolds in M-theory with appropriate G-fluxes turned on. We discuss some aspects of the fourfolds including how to see the transition and a possible extension to the non-supersymmetric case.
|
hep-th/9803208
|
Mu-In Park
|
Mu-In Park (MIT & LNS) and Young-Jai Park (Sogang Univ.)
|
New Gauge Invariant Formulation of the Chern-Simons Gauge Theory
|
Shortened, to appear as Papid Communication-PRD/Nov/98
|
Phys.Rev.D58:101702,1998
|
10.1103/PhysRevD.58.101702
|
MIT-CTP-2702; SOGANG-HEP 228/97
|
hep-th
| null |
A new gauge invariant formulation of the relativistic scalar field
interacting with Chern-Simons gauge fields is considered. This formulation is
consistent with the gauge fixed formulation. Furthermore we find that canonical
(Noether) Poincar\'e generators are not gauge invariant even on the constraints
surface and do not satisfy the (classical) Poincar\'e algebra. It is the
improved generators, constructed from the symmetric energy-momentum tensor,
which are (manifestly) gauge invariant and obey the classical Poincar\'e
algebra.
|
[
{
"created": "Wed, 25 Mar 1998 17:53:25 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 1998 04:30:11 GMT",
"version": "v2"
}
] |
2009-12-30
|
[
[
"Park",
"Mu-In",
"",
"MIT & LNS"
],
[
"Park",
"Young-Jai",
"",
"Sogang Univ."
]
] |
A new gauge invariant formulation of the relativistic scalar field interacting with Chern-Simons gauge fields is considered. This formulation is consistent with the gauge fixed formulation. Furthermore we find that canonical (Noether) Poincar\'e generators are not gauge invariant even on the constraints surface and do not satisfy the (classical) Poincar\'e algebra. It is the improved generators, constructed from the symmetric energy-momentum tensor, which are (manifestly) gauge invariant and obey the classical Poincar\'e algebra.
|
hep-th/0306080
|
Tsuda
|
K. Shima, M. Tsuda and M. Sawaguchi
|
Linearizing superon-graviton model(SGM)
|
13 pages, Latex
| null | null |
SIT-LP-03/05
|
hep-th
| null |
We attempt the linearization of N=1 SGM action describing the nonlinear
supersymmetric gravitational interaction of superon(Nambu-Goldstone fermion).
We find that 80+80 field contents may give the off-shell supermultiplet of the
supergravity-like linearized theory and they are realized explicitly up to
$O(\psi^2)$ as the composites, though they have modified SUSY transformations
which closes on super-Poincar\'e algebra. Particular attentions are paid to the
local Lorentz invariance in the minimal interaction.
|
[
{
"created": "Tue, 10 Jun 2003 03:55:07 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jun 2003 03:33:47 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Shima",
"K.",
""
],
[
"Tsuda",
"M.",
""
],
[
"Sawaguchi",
"M.",
""
]
] |
We attempt the linearization of N=1 SGM action describing the nonlinear supersymmetric gravitational interaction of superon(Nambu-Goldstone fermion). We find that 80+80 field contents may give the off-shell supermultiplet of the supergravity-like linearized theory and they are realized explicitly up to $O(\psi^2)$ as the composites, though they have modified SUSY transformations which closes on super-Poincar\'e algebra. Particular attentions are paid to the local Lorentz invariance in the minimal interaction.
|
1007.1567
|
Christoph Adam
|
C. Adam, J. Sanchez-Guillen, A. Wereszczynski
|
A BPS Skyrme model and baryons at large Nc
|
latex, 23 pages, 1 figure, a numerical error in section 3.2
corrected; matches published version
|
Phys.Rev.D82:085015,2010
|
10.1103/PhysRevD.82.085015
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the class of field theories with the field contents of the Skyrme
model, one submodel can be found which consists of the square of the baryon
current and a potential term only. For this submodel, a Bogomolny bound exists
and the static soliton solutions saturate this bound. Further, already on the
classical level, this BPS Skyrme model reproduces some features of the liquid
drop model of nuclei. Here, we investigate the model in more detail and,
besides, we perform the rigid rotor quantization of the simplest Skyrmion (the
nucleon). In addition, we discuss indications that the viability of the model
as a low energy effective field theory for QCD is further improved in the limit
of a large number of colors N_c.
|
[
{
"created": "Fri, 9 Jul 2010 11:36:41 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Aug 2010 08:35:53 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Nov 2010 10:00:24 GMT",
"version": "v3"
}
] |
2010-11-09
|
[
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
Within the class of field theories with the field contents of the Skyrme model, one submodel can be found which consists of the square of the baryon current and a potential term only. For this submodel, a Bogomolny bound exists and the static soliton solutions saturate this bound. Further, already on the classical level, this BPS Skyrme model reproduces some features of the liquid drop model of nuclei. Here, we investigate the model in more detail and, besides, we perform the rigid rotor quantization of the simplest Skyrmion (the nucleon). In addition, we discuss indications that the viability of the model as a low energy effective field theory for QCD is further improved in the limit of a large number of colors N_c.
|
1408.1397
|
Niko Jokela
|
Niko Jokela, Matti Jarvinen, Matthew Lippert
|
Gravity dual of spin and charge density waves
|
26 pages, 16 figures; v2: refs. fixed and added; v3: refs. and
discussion added, published version
|
JHEP 1412 (2014) 083
|
10.1007/JHEP12(2014)083
|
HIP-2014-16/TH, CCTP-2014-13, CCQCN-2014-33
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
At high enough charge density, the homogeneous state of the D3-D7' model is
unstable to fluctuations at nonzero momentum. We investigate the end point of
this instability, finding a spatially modulated ground state, which is a charge
and spin density wave. We analyze the phase structure of the model as a
function of chemical potential and magnetic field and find the phase transition
from the homogeneous state to be first order, with a second-order critical
point at zero magnetic field.
|
[
{
"created": "Wed, 6 Aug 2014 20:00:06 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Aug 2014 13:42:39 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Dec 2014 10:18:17 GMT",
"version": "v3"
}
] |
2017-03-02
|
[
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Lippert",
"Matthew",
""
]
] |
At high enough charge density, the homogeneous state of the D3-D7' model is unstable to fluctuations at nonzero momentum. We investigate the end point of this instability, finding a spatially modulated ground state, which is a charge and spin density wave. We analyze the phase structure of the model as a function of chemical potential and magnetic field and find the phase transition from the homogeneous state to be first order, with a second-order critical point at zero magnetic field.
|
1007.2637
|
Joel Franklin
|
S. Deser and J. Franklin
|
Is BTZ a separate superselection sector of CTMG?
|
published version
|
Phys.Lett.B693:609-611,2010
|
10.1016/j.physletb.2010.09.019
|
CALT 68-2798 BRX TH-623
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We exhibit exact solutions of (positive) matter coupled to cosmological TMG;
they necessarily evolve to conical singularity/negative mass, rather than
physical black hole, BTZ. By providing evidence that the latter constitutes a
separate, "superselection", sector not reachable from the physical one, they
also provide justification for retaining TMG's original "wrong" G-sign to
ensure excitation stability here as well.
|
[
{
"created": "Thu, 15 Jul 2010 19:41:01 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Oct 2010 15:09:57 GMT",
"version": "v2"
}
] |
2014-11-21
|
[
[
"Deser",
"S.",
""
],
[
"Franklin",
"J.",
""
]
] |
We exhibit exact solutions of (positive) matter coupled to cosmological TMG; they necessarily evolve to conical singularity/negative mass, rather than physical black hole, BTZ. By providing evidence that the latter constitutes a separate, "superselection", sector not reachable from the physical one, they also provide justification for retaining TMG's original "wrong" G-sign to ensure excitation stability here as well.
|
1402.6184
|
Josip Trampetic
|
Josip Trampetic and Jiangyang You
|
Two-Point Functions on Deformed Spacetime
|
review article based on arXiv:0807.4886, arXiv:1109.2485,
arXiv:1111.4951 and arXiv:1306.1239, including some novelty
|
SIGMA 10 (2014), 054, 20 pages
|
10.3842/SIGMA.2014.054
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We present a review of the one-loop photon ($\Pi$) and neutrino ($\Sigma$)
two-point functions in a covariant and deformed $\rm U(1)$ gauge-theory on the
4-dimensional noncommutative spaces, determined by a constant antisymmetric
tensor $\theta^{\mu\nu}$, and by a parameter-space $(\kappa_f,\kappa_g)$,
respectively. For the general fermion-photon $S_f(\kappa_f)$ and photon
self-interaction $S_g(\kappa_g)$ the closed form results reveal two-point
functions with all kind of pathological terms: the UV divergence, the quadratic
UV/IR mixing terms as well as a logarithmic IR divergent term of the type
$\ln(\mu^2(\theta p)^2)$. In addition, the photon-loop produces new tensor
structures satisfying transversality condition by themselves. We show that the
photon two-point function in the 4-dimensional Euclidean spacetime can be
reduced to two finite terms by imposing a specific full rank of
$\theta^{\mu\nu}$ and setting deformation parameters
$(\kappa_f,\kappa_g)=(0,3)$. In this case the neutrino two-point function
vanishes. Thus for a specific point $(0,3)$ in the parameter-space
$(\kappa_f,\kappa_g)$, a covariant $\theta$-exact approach is able to produce a
divergence-free result for the one-loop quantum corrections, having also both
well-defined commutative limit and point-like limit of an extended object.
|
[
{
"created": "Tue, 25 Feb 2014 14:54:06 GMT",
"version": "v1"
},
{
"created": "Tue, 20 May 2014 11:21:11 GMT",
"version": "v2"
},
{
"created": "Thu, 29 May 2014 04:58:21 GMT",
"version": "v3"
},
{
"created": "Tue, 29 Jul 2014 14:12:48 GMT",
"version": "v4"
}
] |
2014-07-30
|
[
[
"Trampetic",
"Josip",
""
],
[
"You",
"Jiangyang",
""
]
] |
We present a review of the one-loop photon ($\Pi$) and neutrino ($\Sigma$) two-point functions in a covariant and deformed $\rm U(1)$ gauge-theory on the 4-dimensional noncommutative spaces, determined by a constant antisymmetric tensor $\theta^{\mu\nu}$, and by a parameter-space $(\kappa_f,\kappa_g)$, respectively. For the general fermion-photon $S_f(\kappa_f)$ and photon self-interaction $S_g(\kappa_g)$ the closed form results reveal two-point functions with all kind of pathological terms: the UV divergence, the quadratic UV/IR mixing terms as well as a logarithmic IR divergent term of the type $\ln(\mu^2(\theta p)^2)$. In addition, the photon-loop produces new tensor structures satisfying transversality condition by themselves. We show that the photon two-point function in the 4-dimensional Euclidean spacetime can be reduced to two finite terms by imposing a specific full rank of $\theta^{\mu\nu}$ and setting deformation parameters $(\kappa_f,\kappa_g)=(0,3)$. In this case the neutrino two-point function vanishes. Thus for a specific point $(0,3)$ in the parameter-space $(\kappa_f,\kappa_g)$, a covariant $\theta$-exact approach is able to produce a divergence-free result for the one-loop quantum corrections, having also both well-defined commutative limit and point-like limit of an extended object.
|
hep-th/9810050
|
Melanie Becker
|
Katrin Becker and Melanie Becker
|
Quantum Gravity Corrections for Schwarzschild Black Holes
|
14 pages, Tex, no figures
|
Phys.Rev. D60 (1999) 026003
|
10.1103/PhysRevD.60.026003
|
CALT-68-2195
|
hep-th
| null |
We consider the Matrix theory proposal describing eleven-dimensional
Schwarzschild black holes. We argue that the Newtonian potential between two
black holes receives a genuine long range quantum gravity correction, which is
finite and can be computed from the supergravity point of view. The result
agrees with Matrix theory up to a numerical factor which we have not computed.
|
[
{
"created": "Wed, 7 Oct 1998 19:30:33 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
]
] |
We consider the Matrix theory proposal describing eleven-dimensional Schwarzschild black holes. We argue that the Newtonian potential between two black holes receives a genuine long range quantum gravity correction, which is finite and can be computed from the supergravity point of view. The result agrees with Matrix theory up to a numerical factor which we have not computed.
|
hep-th/9812223
|
Ademir eugenio de Santana
|
A. E. Santana, F. C. Khanna and Y. Takahashi
|
Galilei covariance and (4,1) de Sitter space
|
Latex
|
Prog.Theor.Phys. 99 (1998) 327-336
|
10.1143/PTP.99.327
| null |
hep-th
| null |
A vector space G is introduced such that the Galilei transformations are
considered linear mappings in this manifold. The covariant structure of the
Galilei Group (Y. Takahashi, Fortschr. Phys. 36 (1988) 63; 36 (1988) 83) is
derived and the tensor analysis is developed. It is shown that the Euclidean
space is embedded the (4,1) de Sitter space through in G. This is an
interesting and useful aspect, in particular, for the analysis carried out for
the Lie algebra of the generators of linear transformations in G.
|
[
{
"created": "Wed, 23 Dec 1998 19:23:53 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Santana",
"A. E.",
""
],
[
"Khanna",
"F. C.",
""
],
[
"Takahashi",
"Y.",
""
]
] |
A vector space G is introduced such that the Galilei transformations are considered linear mappings in this manifold. The covariant structure of the Galilei Group (Y. Takahashi, Fortschr. Phys. 36 (1988) 63; 36 (1988) 83) is derived and the tensor analysis is developed. It is shown that the Euclidean space is embedded the (4,1) de Sitter space through in G. This is an interesting and useful aspect, in particular, for the analysis carried out for the Lie algebra of the generators of linear transformations in G.
|
1304.7660
|
Nakwoo Kim
|
Nakwoo Kim
|
Supersymmetric Wilson loops with general contours in ABJM theory
|
v2: 17 pages, no figure. The result of arXiv:1209.4032 is cited more
appropriately
| null |
10.1142/S0217732313501502
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider general supersymmetric Wilson loops in ABJM model, i.e.
Chern-Simons-matter theory in 2+1 dimensions with N=6 supersymmetry. They are
so-called Zarembo-type: the Wilson loops of our interest have generic contours
in spacetime, but the scalar field coupling is arranged accordingly so that
there are unbroken supersymmetries. Based on the supermatrix formulation of
Wilson loops by Drukker and Trancanelli, we construct explicitly 1/6-BPS Wilson
loops and check that their expectation value is protected using perturbation up
to two loops. We also study the dual string configuration in AdS4 x CP3
background and check the supersymmetry.
|
[
{
"created": "Mon, 29 Apr 2013 13:41:52 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2013 15:05:00 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Kim",
"Nakwoo",
""
]
] |
We consider general supersymmetric Wilson loops in ABJM model, i.e. Chern-Simons-matter theory in 2+1 dimensions with N=6 supersymmetry. They are so-called Zarembo-type: the Wilson loops of our interest have generic contours in spacetime, but the scalar field coupling is arranged accordingly so that there are unbroken supersymmetries. Based on the supermatrix formulation of Wilson loops by Drukker and Trancanelli, we construct explicitly 1/6-BPS Wilson loops and check that their expectation value is protected using perturbation up to two loops. We also study the dual string configuration in AdS4 x CP3 background and check the supersymmetry.
|
2303.10314
|
Norihiro Iizuka
|
Takanori Anegawa, Norihiro Iizuka, Kazumi Okuyama, Kazuhiro Sakai
|
Late time behavior of $n$-point spectral form factors in Airy and JT
gravities
|
31 pages, 7 figures. v2: Improved calculation of integrals in section
4.2
| null |
10.1007/JHEP07(2023)047
|
OU-HET-1175
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the late time behavior of $n$-point spectral form factors (SFFs) in
two-dimensional Witten-Kontsevich topological gravity, which includes both Airy
and JT gravities as special cases. This is conducted in the small $\hbar$
expansion, where $\hbar \sim e^{- {1}/{G_N}}$ is the genus counting parameter
and nonperturbative in Newton's constant $G_N$. For one-point SFF, we study its
absolute square at two different late times. We show that it decays by power
law at $t \sim \hbar^{-2/3}$ while it decays exponentially at $t \sim
\hbar^{-1}$ due to the higher order corrections in $\hbar$. We also study
general $n (\ge 2)$-point SFFs at $t \sim \hbar^{-1}$ in the leading order of
the $\hbar$ expansion. We find that they are characterized by a single
function, which is essentially the connected two-point SFF and is determined by
the classical eigenvalue density $\rho_0(E)$ of the dual matrix integral. These
studies suggest that qualitative behaviors of $n$-point SFFs are similar in
both Airy and JT gravities, where our analysis in the former case is based on
exact results.
|
[
{
"created": "Sat, 18 Mar 2023 02:51:56 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jul 2023 23:09:46 GMT",
"version": "v2"
}
] |
2023-07-26
|
[
[
"Anegawa",
"Takanori",
""
],
[
"Iizuka",
"Norihiro",
""
],
[
"Okuyama",
"Kazumi",
""
],
[
"Sakai",
"Kazuhiro",
""
]
] |
We study the late time behavior of $n$-point spectral form factors (SFFs) in two-dimensional Witten-Kontsevich topological gravity, which includes both Airy and JT gravities as special cases. This is conducted in the small $\hbar$ expansion, where $\hbar \sim e^{- {1}/{G_N}}$ is the genus counting parameter and nonperturbative in Newton's constant $G_N$. For one-point SFF, we study its absolute square at two different late times. We show that it decays by power law at $t \sim \hbar^{-2/3}$ while it decays exponentially at $t \sim \hbar^{-1}$ due to the higher order corrections in $\hbar$. We also study general $n (\ge 2)$-point SFFs at $t \sim \hbar^{-1}$ in the leading order of the $\hbar$ expansion. We find that they are characterized by a single function, which is essentially the connected two-point SFF and is determined by the classical eigenvalue density $\rho_0(E)$ of the dual matrix integral. These studies suggest that qualitative behaviors of $n$-point SFFs are similar in both Airy and JT gravities, where our analysis in the former case is based on exact results.
|
hep-th/0306272
|
Yasumi Abe
|
Yasumi Abe, Rabin Banerjee and Izumi Tsutsui
|
Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics
|
13 pages, PlainTeX. A reference and an equation (Ref.[11] and
eq.(4.16)) are added, the text is amended, and some contents are deleted.
Errors in some equations ((4.13), (4.14), (4.15) and (4.19)) are corrected
|
Phys.Lett.B573:248-254,2003
|
10.1016/j.physletb.2003.08.057
|
KEK-TH-898
|
hep-th
| null |
We generalise the electric-magnetic duality in standard Maxwell theory to its
non-commutative version. Both space-space and space-time non-commutativity are
necessary. The duality symmetry is then extended to a general class of
non-commutative gauge theories that goes beyond non-commutative
electrodynamics. As an application of this symmetry, plane wave solutions are
analysed. Dispersion relations following from these solutions show that general
non-commutative gauge theories other than electrodynamics admits two waves with
distinct polarisations propagating at different velocities in the same
direction.
|
[
{
"created": "Fri, 27 Jun 2003 07:12:12 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 2003 11:43:13 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Jul 2003 06:42:17 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Aug 2003 12:28:17 GMT",
"version": "v4"
},
{
"created": "Tue, 12 Apr 2005 01:59:32 GMT",
"version": "v5"
}
] |
2011-08-11
|
[
[
"Abe",
"Yasumi",
""
],
[
"Banerjee",
"Rabin",
""
],
[
"Tsutsui",
"Izumi",
""
]
] |
We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality symmetry is then extended to a general class of non-commutative gauge theories that goes beyond non-commutative electrodynamics. As an application of this symmetry, plane wave solutions are analysed. Dispersion relations following from these solutions show that general non-commutative gauge theories other than electrodynamics admits two waves with distinct polarisations propagating at different velocities in the same direction.
|
hep-th/9411066
|
Tomohiro Matsuda
|
Kazuo Fujikawa
|
Phase Operator for the Photon Field and an Index Theorem
|
32 pages, Latex
|
Phys.Rev. A52 (1995) 3299-3307
|
10.1103/PhysRevA.52.3299
|
UT-688
|
hep-th
| null |
An index relation $dim\ ker\ a^{\dagger}a - dim\ ker\ aa^{\dagger} = 1$ is
satisfied by the creation and annihilation operators $a^{\dagger}$ and $a$ of a
harmonic oscillator. A hermitian phase operator, which inevitably leads to
$dim\ ker\ a^{\dagger}a - dim\ ker\ aa^{\dagger} = 0$, cannot be consistently
defined. If one considers an $s+1$ dimensional truncated theory, a hermitian
phase operator of Pegg and Barnett which carries a vanishing index can be
defined. However, for arbitrarily large $s$, we show that the vanishing index
of the hermitian phase operator of Pegg and Barnett causes a substantial
deviation from minimum uncertainty in a characteristically quantum domain with
small average photon numbers. We also mention an interesting analogy between
the present problem and the chiral anomaly in gauge theory which is related to
the Atiyah-Singer index theorem. It is suggested that the phase operator
problem related to the above analytic index may be regarded as a new class of
quantum anomaly. From an anomaly view point ,it is not surprising that the
phase operator of Susskind and Glogower, which carries a unit index, leads to
an anomalous identity and an anomalous commutator.
|
[
{
"created": "Thu, 10 Nov 1994 09:10:36 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 1995 10:14:45 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Fujikawa",
"Kazuo",
""
]
] |
An index relation $dim\ ker\ a^{\dagger}a - dim\ ker\ aa^{\dagger} = 1$ is satisfied by the creation and annihilation operators $a^{\dagger}$ and $a$ of a harmonic oscillator. A hermitian phase operator, which inevitably leads to $dim\ ker\ a^{\dagger}a - dim\ ker\ aa^{\dagger} = 0$, cannot be consistently defined. If one considers an $s+1$ dimensional truncated theory, a hermitian phase operator of Pegg and Barnett which carries a vanishing index can be defined. However, for arbitrarily large $s$, we show that the vanishing index of the hermitian phase operator of Pegg and Barnett causes a substantial deviation from minimum uncertainty in a characteristically quantum domain with small average photon numbers. We also mention an interesting analogy between the present problem and the chiral anomaly in gauge theory which is related to the Atiyah-Singer index theorem. It is suggested that the phase operator problem related to the above analytic index may be regarded as a new class of quantum anomaly. From an anomaly view point ,it is not surprising that the phase operator of Susskind and Glogower, which carries a unit index, leads to an anomalous identity and an anomalous commutator.
|
1409.3834
|
Claudia de Rham
|
Claudia de Rham, Lavinia Heisenberg and Raquel H. Ribeiro
|
Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
|
8 pages. v2: minor typos fixed & extended discussion on ghosts above
cut-off
|
Phys. Rev. D 90, 124042 (2014)
|
10.1103/PhysRevD.90.124042
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, several works have investigated the coupling to matter in
ghost-free massive (bi-&multi-)gravity and a new effective coupling to matter
has been proposed. In this note we clarify some confusion on the existence and
the implications of a ghost above the strong coupling scale. We confirm that
the standard constraint which is otherwise typically present in this type of
theories disappears on generic backgrounds as soon as this new coupling is
considered. This implies the re-emergence of the Boulware-Deser ghost.
Nevertheless the absence of ghost in the decoupling limit implies that the
cut-off scale (if identified with the scale at which the ghost enters) is
higher than the strong coupling scale. Therefore there is a valid interesting
region of applicability for these couplings at scales below the cut-off.
|
[
{
"created": "Fri, 12 Sep 2014 19:51:25 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Sep 2014 13:56:23 GMT",
"version": "v2"
}
] |
2014-12-24
|
[
[
"de Rham",
"Claudia",
""
],
[
"Heisenberg",
"Lavinia",
""
],
[
"Ribeiro",
"Raquel H.",
""
]
] |
Recently, several works have investigated the coupling to matter in ghost-free massive (bi-&multi-)gravity and a new effective coupling to matter has been proposed. In this note we clarify some confusion on the existence and the implications of a ghost above the strong coupling scale. We confirm that the standard constraint which is otherwise typically present in this type of theories disappears on generic backgrounds as soon as this new coupling is considered. This implies the re-emergence of the Boulware-Deser ghost. Nevertheless the absence of ghost in the decoupling limit implies that the cut-off scale (if identified with the scale at which the ghost enters) is higher than the strong coupling scale. Therefore there is a valid interesting region of applicability for these couplings at scales below the cut-off.
|
1709.04995
|
Alessandro D.A.M. Spallicci di Filottrano
|
Luca Bonetti, Lu\'is R. dos Santos Filho, Jos\'e A. Helay\"el-Neto,
Alessandro D. A. M. Spallicci
|
Photon sector analysis of Super and Lorentz symmetry breaking: effective
photon mass, bi-refringence and dissipation
|
To appear in Eur. Phys. J. C. We extend our previuous findings in
arXiv:1607.08786 [hep-ph] and determine an effective mass for the photon also
in the even CPT sector. Furthermore, the light-wave dissipation in vacuum,
interpreted from the particle view point, might be seen as loss of frequency,
and thereby 'tired light'
|
Eur. Phys. J. C, 78, 811 (2018)
|
10.1140/epjc/s10052-018-6247-5
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the Standard Model Extension (SME), we expand our previous findings on
four classes of violations of Super-Symmetry (SuSy) and Lorentz Symmetry
(LoSy), differing in the handedness of the Charge conjugation-Parity-Time
reversal (CPT) symmetry and in whether considering the impact of photinos on
photon propagation. The violations, occurring at the early universe high
energies, show visible traces at present in the Dispersion Relations (DRs). For
the CPT-odd classes ($V_{\mu}$ breaking vector) associated with the
Carroll-Field-Jackiw (CFJ) model, the DRs and the Lagrangian show for the
photon an effective mass, gauge invariant, proportional to $|{\vec V}|$. The
group velocity exhibits a classic dependency on the inverse of the frequency
squared. For the CPT-even classes ($k_{F}$ breaking tensor), when the photino
is considered, the DRs display also a massive behaviour inversely proportional
to a coefficient in the Lagrangian and to a term linearly dependent on $k_{F}$.
All DRs display an angular dependence and lack LoSy invariance. In describing
our results, we also point out the following properties: i) the appearance of
complex or simply imaginary frequencies and super-luminal speeds and ii) the
emergence of bi-refringence. Finally, we point out the circumstances for which
SuSy and LoSy breakings, possibly in presence of an external field, lead to the
non-conservation of the photon energy-momentum tensor. We do so for both CPT
sectors.
|
[
{
"created": "Thu, 14 Sep 2017 22:16:32 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Sep 2018 08:06:46 GMT",
"version": "v2"
}
] |
2018-11-02
|
[
[
"Bonetti",
"Luca",
""
],
[
"Filho",
"Luís R. dos Santos",
""
],
[
"Helayël-Neto",
"José A.",
""
],
[
"Spallicci",
"Alessandro D. A. M.",
""
]
] |
Within the Standard Model Extension (SME), we expand our previous findings on four classes of violations of Super-Symmetry (SuSy) and Lorentz Symmetry (LoSy), differing in the handedness of the Charge conjugation-Parity-Time reversal (CPT) symmetry and in whether considering the impact of photinos on photon propagation. The violations, occurring at the early universe high energies, show visible traces at present in the Dispersion Relations (DRs). For the CPT-odd classes ($V_{\mu}$ breaking vector) associated with the Carroll-Field-Jackiw (CFJ) model, the DRs and the Lagrangian show for the photon an effective mass, gauge invariant, proportional to $|{\vec V}|$. The group velocity exhibits a classic dependency on the inverse of the frequency squared. For the CPT-even classes ($k_{F}$ breaking tensor), when the photino is considered, the DRs display also a massive behaviour inversely proportional to a coefficient in the Lagrangian and to a term linearly dependent on $k_{F}$. All DRs display an angular dependence and lack LoSy invariance. In describing our results, we also point out the following properties: i) the appearance of complex or simply imaginary frequencies and super-luminal speeds and ii) the emergence of bi-refringence. Finally, we point out the circumstances for which SuSy and LoSy breakings, possibly in presence of an external field, lead to the non-conservation of the photon energy-momentum tensor. We do so for both CPT sectors.
|
hep-th/0001109
|
Sergei Ketov
|
Sergei V. Ketov (NBI, Copenhagen & ITP, Hannover & HCEI, Tomsk)
|
Superconformal hypermultiplets in superspace
|
28 pages, LaTeX; minor improvements, to appear in Nucl. Phys. B
|
Nucl.Phys. B582 (2000) 95-118
|
10.1016/S0550-3213(00)00252-2
|
NBI-HE-00-04, ITP-UH-01/00 and DESY 00-009
|
hep-th
| null |
We use the manifestly N=2 supersymmetric, off-shell, harmonic (or twistor)
superspace approach to solve the constraints implied by four-dimensional N=2
superconformal symmetry on the N=2 non-linear sigma-model target space, known
as the special hyper-K"ahler geometry. Our general solution is formulated in
terms of a homogeneous (of degree two) function of unconstrained (analytic)
Fayet-Sohnius hypermultiplet superfields. We also derive the improved (N=2
superconformal) actions for the off-shell (constrained) N=2 projective
hypermultiplets, and relate them (via non-conformal deformations) to the
asymptotically locally-flat (ALF) A_k and D_k series of the gravitational
instantons. The same metrics describe Kaluza-Klein monopoles in M-theory, while
they also arise in the quantum moduli spaces of N=4 supersymmetric gauge field
theories with SU(2) gauge group and matter hypermultiplets in three spacetime
dimensions. We comment on rotational isometries versus translational isometries
in the context of N=2 NLSM in terms of projective hypermultiplets.
|
[
{
"created": "Tue, 18 Jan 2000 15:45:11 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Mar 2000 11:22:20 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Apr 2000 18:03:12 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Ketov",
"Sergei V.",
"",
"NBI, Copenhagen & ITP, Hannover & HCEI, Tomsk"
]
] |
We use the manifestly N=2 supersymmetric, off-shell, harmonic (or twistor) superspace approach to solve the constraints implied by four-dimensional N=2 superconformal symmetry on the N=2 non-linear sigma-model target space, known as the special hyper-K"ahler geometry. Our general solution is formulated in terms of a homogeneous (of degree two) function of unconstrained (analytic) Fayet-Sohnius hypermultiplet superfields. We also derive the improved (N=2 superconformal) actions for the off-shell (constrained) N=2 projective hypermultiplets, and relate them (via non-conformal deformations) to the asymptotically locally-flat (ALF) A_k and D_k series of the gravitational instantons. The same metrics describe Kaluza-Klein monopoles in M-theory, while they also arise in the quantum moduli spaces of N=4 supersymmetric gauge field theories with SU(2) gauge group and matter hypermultiplets in three spacetime dimensions. We comment on rotational isometries versus translational isometries in the context of N=2 NLSM in terms of projective hypermultiplets.
|
1505.07386
|
Stefano Bellucci
|
S. Bellucci, N. Kozyrev, S. Krivonos, A. Sutulin
|
Space-filling D3-brane within coset approach
|
12 pages, PACS: 11.30.Pb, 12.60.Jv
| null |
10.1007/JHEP08(2015)094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the component on-shell action of the space-filling D3-brane, {\it
i.e.} $N=1$ supersymmetric Born-Infeld action, within the nonlinear realization
approach. The covariant Bianchi identity defining the $N=1$, $d=4$ vector
supermultiplet has been constructed by introducing a new bosonic Goldstone
superfield associated with the generator of the $U(1)$ group, which transforms
to each other the spinor generators of unbroken and spontaneously broken $N=1$,
$d=4$ supersymmetries. The first component of this Goldstone superfield is the
auxiliary field of the vector supermultiplet and, therefore, the Bianchi
identity can be properly defined. The component action of the D3-brane has a
very simple form, being written in terms of derivatives covariant with respect
to spontaneously broken supersymmetry - it just mimics its bosonic counterpart.
|
[
{
"created": "Wed, 27 May 2015 15:59:10 GMT",
"version": "v1"
}
] |
2015-09-30
|
[
[
"Bellucci",
"S.",
""
],
[
"Kozyrev",
"N.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sutulin",
"A.",
""
]
] |
We derive the component on-shell action of the space-filling D3-brane, {\it i.e.} $N=1$ supersymmetric Born-Infeld action, within the nonlinear realization approach. The covariant Bianchi identity defining the $N=1$, $d=4$ vector supermultiplet has been constructed by introducing a new bosonic Goldstone superfield associated with the generator of the $U(1)$ group, which transforms to each other the spinor generators of unbroken and spontaneously broken $N=1$, $d=4$ supersymmetries. The first component of this Goldstone superfield is the auxiliary field of the vector supermultiplet and, therefore, the Bianchi identity can be properly defined. The component action of the D3-brane has a very simple form, being written in terms of derivatives covariant with respect to spontaneously broken supersymmetry - it just mimics its bosonic counterpart.
|
hep-th/0401148
|
Ralph Blumenhagen
|
Ralph Blumenhagen, Timo Weigand
|
Chiral Supersymmetric Gepner Model Orientifolds
|
37 pages, TeX (harvmac), minor changes, typos corrected, to appear in
JHEP
|
JHEP 0402 (2004) 041
|
10.1088/1126-6708/2004/02/041
|
DAMTP-2004-2
|
hep-th
| null |
We explicitly construct A-type orientifolds of supersymmetric Gepner models.
In order to reduce the tadpole cancellation conditions to a treatable number we
explicitly work out the generic form of the one-loop Klein bottle, annulus and
Moebius strip amplitudes for simple current extensions of Gepner models.
Equipped with these formulas, we discuss two examples in detail to provide
evidence that in this setting certain features of the MSSM like unitary gauge
groups with large enough rank, chirality and family replication can be
achieved.
|
[
{
"created": "Wed, 21 Jan 2004 18:22:25 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 2004 17:20:35 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Feb 2004 09:24:16 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Weigand",
"Timo",
""
]
] |
We explicitly construct A-type orientifolds of supersymmetric Gepner models. In order to reduce the tadpole cancellation conditions to a treatable number we explicitly work out the generic form of the one-loop Klein bottle, annulus and Moebius strip amplitudes for simple current extensions of Gepner models. Equipped with these formulas, we discuss two examples in detail to provide evidence that in this setting certain features of the MSSM like unitary gauge groups with large enough rank, chirality and family replication can be achieved.
|
1912.08687
|
Adil Belhaj
|
A. Belhaj, A. El Balali, W. El Hadri, H. El Moumni, M. B. Sedra
|
Dark Energy Effects on Charged and Rotating Black Holes
|
35 pages, 4 figures, Latex. Accepted version in European Physical
Journal Plus (2019)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using canonical typicality method, we reconsider the study of dark energy
effects on four dimensional black holes. Concretely, we investigate the
associated influences on the spectrum of various black hole backgrounds
including the charged and the rotating ones. For such black hole solutions, we
first elaborate analytically the corresponding radiation spectrum, the Hawking
temperature and the dark information. Then, we discuss and analyze the
corresponding findings. This work, recovering the results of the Schwarzschield
black hole, confirms that dark energy can be considered as a cooling system
surrounding the black holes providing a colder radiation and a slower Hawking
radiation process.
|
[
{
"created": "Wed, 18 Dec 2019 16:01:11 GMT",
"version": "v1"
}
] |
2019-12-19
|
[
[
"Belhaj",
"A.",
""
],
[
"Balali",
"A. El",
""
],
[
"Hadri",
"W. El",
""
],
[
"Moumni",
"H. El",
""
],
[
"Sedra",
"M. B.",
""
]
] |
Using canonical typicality method, we reconsider the study of dark energy effects on four dimensional black holes. Concretely, we investigate the associated influences on the spectrum of various black hole backgrounds including the charged and the rotating ones. For such black hole solutions, we first elaborate analytically the corresponding radiation spectrum, the Hawking temperature and the dark information. Then, we discuss and analyze the corresponding findings. This work, recovering the results of the Schwarzschield black hole, confirms that dark energy can be considered as a cooling system surrounding the black holes providing a colder radiation and a slower Hawking radiation process.
|
1602.03314
|
Amir Esmaeil Mosaffa
|
Amir Esmaeil Mosaffa
|
Replicated Entanglement Entropy
|
4 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce "Replicated Entanglement Entropy (REE)" as the entanglement
entropy of a subspace in a replicated theory. We calculate this quantity by
replicating the original theory in two steps along the same entangling region
and taking the proper limit on the second replica number. The quantity has a
clear physical meaning, a thermodynamic interpretation and a holographic dual.
|
[
{
"created": "Wed, 10 Feb 2016 10:05:03 GMT",
"version": "v1"
}
] |
2016-02-11
|
[
[
"Mosaffa",
"Amir Esmaeil",
""
]
] |
We introduce "Replicated Entanglement Entropy (REE)" as the entanglement entropy of a subspace in a replicated theory. We calculate this quantity by replicating the original theory in two steps along the same entangling region and taking the proper limit on the second replica number. The quantity has a clear physical meaning, a thermodynamic interpretation and a holographic dual.
|
hep-th/0311228
|
Ashok Das
|
J. C. Brunelli, A. Das and Z. Popowicz
|
Supersymmetric and Deformed Harry Dym hierarchies
|
11 pages, to be published in the proceedings of the International
workshop on "Supersymmetries and Quantum Symmetries", SQS'03, Dubna, July
24-29 2003
| null | null | null |
hep-th nlin.SI
| null |
In this talk, we describe our recent results on the supersymmetrization of
the Harry Dym hierarchy as well as a newly constructed deformed Harry Dym
hierarchy which is integrable with two arbitrary parameters. In various limits
of these parameters, the deformed hierarchy reduces to various known integrable
systems.
|
[
{
"created": "Mon, 24 Nov 2003 15:55:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Brunelli",
"J. C.",
""
],
[
"Das",
"A.",
""
],
[
"Popowicz",
"Z.",
""
]
] |
In this talk, we describe our recent results on the supersymmetrization of the Harry Dym hierarchy as well as a newly constructed deformed Harry Dym hierarchy which is integrable with two arbitrary parameters. In various limits of these parameters, the deformed hierarchy reduces to various known integrable systems.
|
hep-th/0412113
|
Brett D. Altschul
|
B. Altschul
|
Infinitesimally Nonlocal Lorentz Violation
|
10 pages
|
Phys.Rev. D72 (2005) 025001
|
10.1103/PhysRevD.72.025001
|
IUHET-476
|
hep-th
| null |
We introduce a new Lorentz-violating modification to a scalar quantum field
theory. This interaction, while super-renormalizable by power counting, is
fundamentally different from the interactions previously considered within the
Lorentz-violating standard model extension. The Lagrange density is nonlocal,
because of the presence of a Hilbert transform term; however, this nonlocality
is also very weak. The theory has reasonable stability and causality properties
and, although the Lorentz-violating interaction possesses a single vector
index, the theory is nonetheless CPT even. As an application, we analyze the
possible effects of this new form of Lorentz violation on neutral meson
oscillations. We find that under certain circumstances, the interaction may
lead to quite peculiar sidereal modulations in the oscillation frequency.
|
[
{
"created": "Fri, 10 Dec 2004 22:06:30 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Altschul",
"B.",
""
]
] |
We introduce a new Lorentz-violating modification to a scalar quantum field theory. This interaction, while super-renormalizable by power counting, is fundamentally different from the interactions previously considered within the Lorentz-violating standard model extension. The Lagrange density is nonlocal, because of the presence of a Hilbert transform term; however, this nonlocality is also very weak. The theory has reasonable stability and causality properties and, although the Lorentz-violating interaction possesses a single vector index, the theory is nonetheless CPT even. As an application, we analyze the possible effects of this new form of Lorentz violation on neutral meson oscillations. We find that under certain circumstances, the interaction may lead to quite peculiar sidereal modulations in the oscillation frequency.
|
hep-th/0307294
|
Yukinori Nagatani
|
Yukinori Nagatani
|
Spherical Domain Wall formed by Field Dynamics of Hawking Radiation and
Spontaneous Charging-up of Black Hole
|
24 pages, 6 figures, LaTeX2e with elsart-style and graphicx-macro
|
Nucl.Phys. B679 (2004) 363-381
|
10.1016/j.nuclphysb.2003.12.001
|
WIS/18/03-JULY-DPP
|
hep-th
| null |
We investigate the Hawking radiation in the gauge-Higgs-Yukawa theory. The
ballistic model is proposed as an effective description of the system. We find
that a spherical domain wall around the black hole is formed by field dynamics
rather than thermal phase-transition. The formation is a general property of
the black hole whose Hawking temperature is equal to or greater than the energy
scale of the theory. The formation of the electroweak wall and that of the GUT
wall are shown. We also find a phenomenon of the spontaneous charging-up of the
black hole by the wall. The Hawking radiation drives a mechanism of the
charge-transportation into the black hole when C- and CP-violation are assumed.
The mechanism can strongly transport the hyper-charge into a black hole of the
electroweak scale.
|
[
{
"created": "Wed, 30 Jul 2003 23:02:00 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Nov 2003 07:13:00 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Nagatani",
"Yukinori",
""
]
] |
We investigate the Hawking radiation in the gauge-Higgs-Yukawa theory. The ballistic model is proposed as an effective description of the system. We find that a spherical domain wall around the black hole is formed by field dynamics rather than thermal phase-transition. The formation is a general property of the black hole whose Hawking temperature is equal to or greater than the energy scale of the theory. The formation of the electroweak wall and that of the GUT wall are shown. We also find a phenomenon of the spontaneous charging-up of the black hole by the wall. The Hawking radiation drives a mechanism of the charge-transportation into the black hole when C- and CP-violation are assumed. The mechanism can strongly transport the hyper-charge into a black hole of the electroweak scale.
|
hep-th/0009236
|
Fernando T. Brandt
|
F. T. Brandt, Ashok Das and J. Frenkel
|
Absence of higher order corrections to the non-Abelian Chern-Simons
coefficient
|
13 pages, 3 figures (final version to appear in Phys. Lett. B)
|
Phys.Lett. B494 (2000) 339-345
|
10.1016/S0370-2693(00)01202-8
| null |
hep-th hep-ph
| null |
We extend the Coleman-Hill analysis to non-Abelian Chern-Simons theories
containing a tree level topological mass term. We show, in the case of a pure
Yang-Mills-Chern-Simons theory, that there are no corrections to the
coefficient of the Chern-Simons term beyond one loop in the axial gauge. Our
arguments use constraints coming only from small gauge Ward identities as well
as the analyticity of the amplitudes, much like the proof in the Abelian case.
Some implications of this result are also discussed.
|
[
{
"created": "Thu, 28 Sep 2000 18:07:15 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 2000 18:54:39 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Brandt",
"F. T.",
""
],
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] |
We extend the Coleman-Hill analysis to non-Abelian Chern-Simons theories containing a tree level topological mass term. We show, in the case of a pure Yang-Mills-Chern-Simons theory, that there are no corrections to the coefficient of the Chern-Simons term beyond one loop in the axial gauge. Our arguments use constraints coming only from small gauge Ward identities as well as the analyticity of the amplitudes, much like the proof in the Abelian case. Some implications of this result are also discussed.
|
hep-th/0310084
|
Sergey Cherkis
|
Sergey A. Cherkis and Nigel J. Hitchin
|
Gravitational Instantons of Type D_k
|
23 pages, LaTeX
|
Commun.Math.Phys. 260 (2005) 299-317
|
10.1007/s00220-005-1404-8
| null |
hep-th math.DG
| null |
We use two different methods to obtain Asymptotically Locally Flat
hyperkahler metrics of type D_k.
|
[
{
"created": "Wed, 8 Oct 2003 19:43:25 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Cherkis",
"Sergey A.",
""
],
[
"Hitchin",
"Nigel J.",
""
]
] |
We use two different methods to obtain Asymptotically Locally Flat hyperkahler metrics of type D_k.
|
2404.06060
|
Soham Sen
|
Soham Sen and Sunandan Gangopadhyay
|
Bose-Einstein condensate as a quantum gravity probe; "Erste Abhandlung"
|
8 pages LATEX. This is a letter version of arXiv:2403.18460 [hep-th].
OTM
| null | null | null |
hep-th gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We consider a Bose-Einstein condensate interacting with a gravitational wave
for the case when the gravitational fluctuations are quantized in order to
incorporate quantum gravity effects into the theory. We observe that the
solution of the time-dependent part of the pseudo-Goldstone boson has infusions
from the noise induced by gravitons and the corresponding differential equation
of motion is Langevin-like. Using this result, we obtain the quantum gravity
modified Fisher information which has been termed as the quantum gravitational
Fisher information (QGFI). The inverse square root of the stochastic average of
the QGFI gives the minimum uncertainty in the measurement of the gravitational
wave amplitude. The minimum uncertainty does not go to infinity as the
measurement time approaches zero in a quantum gravity setup rather it has a
measurable finite value for gravitons with high squeezing. Finally, we observe
the effect of decoherence due to interacting phonon modes in the QGFI and
observe a less obvious decoherence effect for higher squeezing of the initial
graviton.
|
[
{
"created": "Tue, 9 Apr 2024 06:57:00 GMT",
"version": "v1"
}
] |
2024-04-10
|
[
[
"Sen",
"Soham",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
We consider a Bose-Einstein condensate interacting with a gravitational wave for the case when the gravitational fluctuations are quantized in order to incorporate quantum gravity effects into the theory. We observe that the solution of the time-dependent part of the pseudo-Goldstone boson has infusions from the noise induced by gravitons and the corresponding differential equation of motion is Langevin-like. Using this result, we obtain the quantum gravity modified Fisher information which has been termed as the quantum gravitational Fisher information (QGFI). The inverse square root of the stochastic average of the QGFI gives the minimum uncertainty in the measurement of the gravitational wave amplitude. The minimum uncertainty does not go to infinity as the measurement time approaches zero in a quantum gravity setup rather it has a measurable finite value for gravitons with high squeezing. Finally, we observe the effect of decoherence due to interacting phonon modes in the QGFI and observe a less obvious decoherence effect for higher squeezing of the initial graviton.
|
hep-th/0005201
|
Julian James McKenzie-Smith
|
J. J. McKenzie-Smith and D. J. Toms
|
Zero-point energies and the multiplicative anomaly
|
10 pages, REVTeX, no figures. Submitted to Physical Review D
| null | null | null |
hep-th
| null |
For the case of a relativistic scalar field at finite temperature with a
chemical potential, we calculate an exact expression for the one-loop effective
action using the full fourth order determinant and zeta-function
regularisation. We find that it agrees with the exact expression for the
factored operator and thus there appears to be no mulitplicative anomaly. The
appearance of the anomaly for the fourth order operator in the high temperature
limit is explained and we show that the multiplicative anomaly can be
calculated as the difference between two zeta-regularised zero-point energies.
This difference is a result of using a charge operator in the Hamiltonian which
has not been normal ordered.
|
[
{
"created": "Mon, 22 May 2000 12:44:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"McKenzie-Smith",
"J. J.",
""
],
[
"Toms",
"D. J.",
""
]
] |
For the case of a relativistic scalar field at finite temperature with a chemical potential, we calculate an exact expression for the one-loop effective action using the full fourth order determinant and zeta-function regularisation. We find that it agrees with the exact expression for the factored operator and thus there appears to be no mulitplicative anomaly. The appearance of the anomaly for the fourth order operator in the high temperature limit is explained and we show that the multiplicative anomaly can be calculated as the difference between two zeta-regularised zero-point energies. This difference is a result of using a charge operator in the Hamiltonian which has not been normal ordered.
|
1410.2807
|
Xavier Calmet
|
Xavier Calmet
|
The Lightest of Black Holes
| null |
Mod. Phys. Lett. A, Vol. 29, No. 38 (2014) 1450204
|
10.1142/S0217732314502046
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider general relativity in the large $N$ limit, where
$N$ stands for the number of particles in the model. Studying the resummed
graviton propagator, we propose to interpret its complex poles as black hole
precursors. Our main result is the calculation of the mass and width of the
lightest of black holes. We show that the values of the masses of black hole
precursors depend on the number of fields in the theory. Their masses can be
lowered down to the TeV region by increasing the number of fields in a hidden
sector that only interacts gravitationally with the standard model.
|
[
{
"created": "Fri, 10 Oct 2014 15:27:46 GMT",
"version": "v1"
}
] |
2014-12-05
|
[
[
"Calmet",
"Xavier",
""
]
] |
In this paper we consider general relativity in the large $N$ limit, where $N$ stands for the number of particles in the model. Studying the resummed graviton propagator, we propose to interpret its complex poles as black hole precursors. Our main result is the calculation of the mass and width of the lightest of black holes. We show that the values of the masses of black hole precursors depend on the number of fields in the theory. Their masses can be lowered down to the TeV region by increasing the number of fields in a hidden sector that only interacts gravitationally with the standard model.
|
1909.04026
|
S. Ganesh
|
S. Ganesh
|
A proposal for exploring quantum theory in curved spacetime in lab
|
9 pages, 6 figures
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gravity curves spacetime. In regions where the de Broglie wavelength is very
small compared to the curvature of spacetime, the wave equations in flat
spacetime can be generalized to curved spacetime. The validity of the
formulation when the de Broglie wavelength becomes comparable to the curvature
is an open question. To test these formulations experimentally, huge energy of
the order of the Planck mass would be required. Euclideanized spacetime is used
to model thermal systems.
In this work, an equivalence between spatial variation of temperature in
thermal baths and curvature of Euclideanized spacetime is propounded. The
variation in temperature is recast as a variation in the metric. The Dirac
equation is then solved in this curved Euclideanized spacetime. The curvature
in Euclideanized spacetime can be obtained in Chromodynamic or Electromagnetic
scale energies. If this equivalence is correct, it could provide a platform to
experimentally explore quantum mechanics in curved spacetime.
|
[
{
"created": "Sat, 7 Sep 2019 11:22:26 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2020 10:22:34 GMT",
"version": "v2"
}
] |
2020-04-02
|
[
[
"Ganesh",
"S.",
""
]
] |
Gravity curves spacetime. In regions where the de Broglie wavelength is very small compared to the curvature of spacetime, the wave equations in flat spacetime can be generalized to curved spacetime. The validity of the formulation when the de Broglie wavelength becomes comparable to the curvature is an open question. To test these formulations experimentally, huge energy of the order of the Planck mass would be required. Euclideanized spacetime is used to model thermal systems. In this work, an equivalence between spatial variation of temperature in thermal baths and curvature of Euclideanized spacetime is propounded. The variation in temperature is recast as a variation in the metric. The Dirac equation is then solved in this curved Euclideanized spacetime. The curvature in Euclideanized spacetime can be obtained in Chromodynamic or Electromagnetic scale energies. If this equivalence is correct, it could provide a platform to experimentally explore quantum mechanics in curved spacetime.
|
hep-th/9405036
|
Berndt Mueller
|
S. Mrowczynski and B. Mueller
|
Wigner Functional Approach to Quantum Field Dynamics
|
13 pages, REVTeX. (Somewhat revised and appended version of the
original manuscript) DUKE-TH-94-69
|
Phys.Rev.D50:7542-7552,1994
|
10.1103/PhysRevD.50.7542
| null |
hep-th hep-ph
| null |
We introduce the Wigner functional representing a quantum field in terms of
the field amplitudes and their conjugate momenta. The equation of motion for
the functional of a scalar field point out the relevance of solutions of the
classical field equations to the time evolution of the quantum field. We
discuss the field in thermodynamical equilibrium and find the explicit solution
of the equations of motion for the so-called ``roll-over'' phase transition.
Finally, we briefly discuss the approximate methods for the evaluation of the
Wigner functional that may be used to numerically simulate the initial value
problem..
|
[
{
"created": "Thu, 5 May 1994 15:26:24 GMT",
"version": "v1"
},
{
"created": "Fri, 13 May 1994 18:11:17 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Sep 1994 00:36:57 GMT",
"version": "v3"
}
] |
2010-11-01
|
[
[
"Mrowczynski",
"S.",
""
],
[
"Mueller",
"B.",
""
]
] |
We introduce the Wigner functional representing a quantum field in terms of the field amplitudes and their conjugate momenta. The equation of motion for the functional of a scalar field point out the relevance of solutions of the classical field equations to the time evolution of the quantum field. We discuss the field in thermodynamical equilibrium and find the explicit solution of the equations of motion for the so-called ``roll-over'' phase transition. Finally, we briefly discuss the approximate methods for the evaluation of the Wigner functional that may be used to numerically simulate the initial value problem..
|
1602.01078
|
Michele Maggiore
|
Giulia Cusin, Stefano Foffa, Michele Maggiore and Michele Mancarella
|
Conformal symmetry and nonlinear extensions of nonlocal gravity
|
27 pages, 4 figures
|
Phys. Rev. D 93, 083008 (2016)
|
10.1103/PhysRevD.93.083008
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two nonlinear extensions of the nonlocal $R\,\Box^{-2}R$ gravity
theory. We extend this theory in two different ways suggested by conformal
symmetry, either replacing $\Box^{-2}$ with $(-\Box + R/6)^{-2}$, which is the
operator that enters the action for a conformally-coupled scalar field, or
replacing $\Box^{-2}$ with the inverse of the Paneitz operator, which is a
four-derivative operator that enters in the effective action induced by the
conformal anomaly. We show that the former modification gives an interesting
and viable cosmological model, with a dark energy equation of state today
$w_{\rm DE}\simeq -1.01$, which very closely mimics $\Lambda$CDM and evolves
asymptotically into a de Sitter solution. The model based on the Paneitz
operator seems instead excluded by the comparison with observations. We also
review some issues about the causality of nonlocal theories, and we point out
that these nonlocal models can be modified so to nicely interpolate between
Starobinski inflation in the primordial universe and accelerated expansion in
the recent epoch.
|
[
{
"created": "Tue, 2 Feb 2016 20:47:44 GMT",
"version": "v1"
}
] |
2016-04-27
|
[
[
"Cusin",
"Giulia",
""
],
[
"Foffa",
"Stefano",
""
],
[
"Maggiore",
"Michele",
""
],
[
"Mancarella",
"Michele",
""
]
] |
We study two nonlinear extensions of the nonlocal $R\,\Box^{-2}R$ gravity theory. We extend this theory in two different ways suggested by conformal symmetry, either replacing $\Box^{-2}$ with $(-\Box + R/6)^{-2}$, which is the operator that enters the action for a conformally-coupled scalar field, or replacing $\Box^{-2}$ with the inverse of the Paneitz operator, which is a four-derivative operator that enters in the effective action induced by the conformal anomaly. We show that the former modification gives an interesting and viable cosmological model, with a dark energy equation of state today $w_{\rm DE}\simeq -1.01$, which very closely mimics $\Lambda$CDM and evolves asymptotically into a de Sitter solution. The model based on the Paneitz operator seems instead excluded by the comparison with observations. We also review some issues about the causality of nonlocal theories, and we point out that these nonlocal models can be modified so to nicely interpolate between Starobinski inflation in the primordial universe and accelerated expansion in the recent epoch.
|
hep-th/9811073
|
L. L. Salcedo
|
E. Ruiz Arriola and L. L. Salcedo
|
Chiral and scale anomalies of non local Dirac operators
|
RevTex, 14 pages, no figures
|
Phys.Lett. B450 (1999) 225-233
|
10.1016/S0370-2693(99)00129-X
|
ugr-dfm-4/98
|
hep-th
| null |
The chiral and scale anomalies of a very general class of non local Dirac
operators are computed using the $\zeta$-function definition of the fermionic
determinant. For the axial anomaly all new terms introduced by the non locality
are shown to be removable by counterterms and such counterterms are also
explicitly computed. It is verified that the non local Dirac operators have the
standard minimal anomaly in Bardeen's form.
|
[
{
"created": "Mon, 9 Nov 1998 10:31:32 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Arriola",
"E. Ruiz",
""
],
[
"Salcedo",
"L. L.",
""
]
] |
The chiral and scale anomalies of a very general class of non local Dirac operators are computed using the $\zeta$-function definition of the fermionic determinant. For the axial anomaly all new terms introduced by the non locality are shown to be removable by counterterms and such counterterms are also explicitly computed. It is verified that the non local Dirac operators have the standard minimal anomaly in Bardeen's form.
|
0802.2198
|
Stefan Hollands
|
S. Hollands
|
Quantum field theory in terms of consistency conditions I: General
framework, and perturbation theory via Hochschild cohomology
|
60 pages, Latex, 6 figures in EPS-format, v2: added sec. 8 and sec.
9, streamlined sec. 10, typos corrected, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we propose a new framework for quantum field theory in terms
of consistency conditions. The consistency conditions that we consider are
"associativity" or "factorization" conditions on the operator product expansion
(OPE) of the theory, and are proposed to be the defining property of any
quantum field theory. Our framework is presented in the Euclidean setting, and
is applicable in principle to any quantum field theory, including non-conformal
ones. In our framework, we obtain a characterization of perturbations of a
given quantum field theory in terms of a certain cohomology ring of
Hochschild-type. We illustrate our framework by the free field, but our
constructions are general and apply also to interacting quantum field theories.
For such theories, we propose a new scheme to construct the OPE which is based
on the use of non-linear quantized field equations.
|
[
{
"created": "Fri, 15 Feb 2008 13:27:56 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Sep 2008 10:02:43 GMT",
"version": "v2"
}
] |
2008-09-19
|
[
[
"Hollands",
"S.",
""
]
] |
In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are "associativity" or "factorization" conditions on the operator product expansion (OPE) of the theory, and are proposed to be the defining property of any quantum field theory. Our framework is presented in the Euclidean setting, and is applicable in principle to any quantum field theory, including non-conformal ones. In our framework, we obtain a characterization of perturbations of a given quantum field theory in terms of a certain cohomology ring of Hochschild-type. We illustrate our framework by the free field, but our constructions are general and apply also to interacting quantum field theories. For such theories, we propose a new scheme to construct the OPE which is based on the use of non-linear quantized field equations.
|
1006.2876
|
Soonkeon Nam
|
Sunggeun Lee and Soonkeon Nam
|
K\"{a}hler moduli inflation and WMAP7
|
22 pages, 6 figures
|
Int.J.Mod.Phys.A26:1073-1096,2011
|
10.1142/S0217751X1105155X
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inflationary potentials are investigated for specific models in type IIB
string theory via flux compactification. As concrete models, we investigate
several cases where the internal spaces are weighted projective spaces. The
models we consider have two, three, or four K\"{a}hler moduli. The K\"{a}hler
moduli play a role of inflaton fields and we consider the cases where only one
of the moduli behaves as the inflaton field. For the cases with more than two
moduli, we choose the diagonal basis for the expression of the Calabi-Yau
volume, which can be written down as a function of four-cycle. With the
combination of multiple moduli, we can express the multi-dimensional problem as
an effective one-dimensional problem. In the large volume scenario, the
potentials of these three models turn out to be of the same type. By taking the
specific limit of the relation between the moduli and the volume, the
potentials are reduced to simpler ones which induce inflation. As a toy model
we first consider the simple potential. We calculate the slow roll parameters
$\epsilon$, $\eta$ and $\xi$ for each inflationary potential. Then, we check
whether the potentials give reasonable spectral indices $n_s$ and their running
$\alpha_s$'s by comparing with the recently released seven-year WMAP data. For
both models, we see reasonable spectral indices for the number of e-folding
$47<N_e<61$. Conversely, by inserting the observed seven-year WMAP data, we see
that the potential of the toy model gives requisite number of e-folds while the
potential of the K\"{a}hler moduli gives much smaller number of e-folding.
Finally, we see that two models do not produce reasonable values of the running
of the spectral index.
|
[
{
"created": "Tue, 15 Jun 2010 02:20:51 GMT",
"version": "v1"
}
] |
2011-03-15
|
[
[
"Lee",
"Sunggeun",
""
],
[
"Nam",
"Soonkeon",
""
]
] |
Inflationary potentials are investigated for specific models in type IIB string theory via flux compactification. As concrete models, we investigate several cases where the internal spaces are weighted projective spaces. The models we consider have two, three, or four K\"{a}hler moduli. The K\"{a}hler moduli play a role of inflaton fields and we consider the cases where only one of the moduli behaves as the inflaton field. For the cases with more than two moduli, we choose the diagonal basis for the expression of the Calabi-Yau volume, which can be written down as a function of four-cycle. With the combination of multiple moduli, we can express the multi-dimensional problem as an effective one-dimensional problem. In the large volume scenario, the potentials of these three models turn out to be of the same type. By taking the specific limit of the relation between the moduli and the volume, the potentials are reduced to simpler ones which induce inflation. As a toy model we first consider the simple potential. We calculate the slow roll parameters $\epsilon$, $\eta$ and $\xi$ for each inflationary potential. Then, we check whether the potentials give reasonable spectral indices $n_s$ and their running $\alpha_s$'s by comparing with the recently released seven-year WMAP data. For both models, we see reasonable spectral indices for the number of e-folding $47<N_e<61$. Conversely, by inserting the observed seven-year WMAP data, we see that the potential of the toy model gives requisite number of e-folds while the potential of the K\"{a}hler moduli gives much smaller number of e-folding. Finally, we see that two models do not produce reasonable values of the running of the spectral index.
|
1103.4876
|
Juste Jean-Paul Ngome Abiaga
|
J.-P. Ngome
|
(Super)symmetries of semiclassical models in theoretical and condensed
matter physics
|
PhD thesis, defended on may 2011, Tours University, Supervisor :
Peter Horvathy
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Van Holten's covariant algorithm for deriving conserved quantities is
presented, with particular attention paid to Runge-Lenz-type vectors. The
classical dynamics of isospin-carrying particles is reviewed. Physical
applications including non-Abelian monopole-type systems in diatoms, introduced
by Moody, Shapere and Wilczek, are considered. Applied to curved space, the
formalism of van Holten allows us to describe the dynamical symmetries of
generalized Kaluza-Klein monopoles. The framework is extended to supersymmetry
and applied to the SUSY of the monopoles. Yet another application concerns the
three-dimensional non-commutative oscillator.
|
[
{
"created": "Thu, 24 Mar 2011 21:41:50 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2011 19:20:57 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Sep 2011 18:05:29 GMT",
"version": "v3"
}
] |
2013-02-07
|
[
[
"Ngome",
"J. -P.",
""
]
] |
Van Holten's covariant algorithm for deriving conserved quantities is presented, with particular attention paid to Runge-Lenz-type vectors. The classical dynamics of isospin-carrying particles is reviewed. Physical applications including non-Abelian monopole-type systems in diatoms, introduced by Moody, Shapere and Wilczek, are considered. Applied to curved space, the formalism of van Holten allows us to describe the dynamical symmetries of generalized Kaluza-Klein monopoles. The framework is extended to supersymmetry and applied to the SUSY of the monopoles. Yet another application concerns the three-dimensional non-commutative oscillator.
|
1509.08072
|
Eduardo Bragan\c{c}a Eduardo Braganca
|
E. A. F. Bragan\c{c}a, H. F. Santana Mota and E. R. Bezerra de Mello
|
Induced vacuum bosonic current in a compactified cosmic string spacetime
|
10 pages and 3 figures. To appear in the proceedings of the 9th
Alexander Friedmann International Seminar
| null |
10.1142/S2010194516601174
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the bosonic current densities induced by a magnetic flux running
along an idealized cosmic string considering that the coordinate along its axis
is compactified. We also consider the presence of a magnetic flux enclosed by
the compactificatified axis. To develop this analysis, we calculate the
complete set of normalized bosonic wave functions obeying a quasiperiodicity
condition along the compactified dimension. We show that in this context only
the azimuthal and axial currents take place.
|
[
{
"created": "Sun, 27 Sep 2015 09:10:03 GMT",
"version": "v1"
}
] |
2016-04-13
|
[
[
"Bragança",
"E. A. F.",
""
],
[
"Mota",
"H. F. Santana",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] |
We analyze the bosonic current densities induced by a magnetic flux running along an idealized cosmic string considering that the coordinate along its axis is compactified. We also consider the presence of a magnetic flux enclosed by the compactificatified axis. To develop this analysis, we calculate the complete set of normalized bosonic wave functions obeying a quasiperiodicity condition along the compactified dimension. We show that in this context only the azimuthal and axial currents take place.
|
2006.16122
|
Reza Fareghbal
|
Reza Fareghbal, Mehdi Hakami Shalamzari, Pedram Karimi
|
Flat-space Limit of Extremal Curves
|
24 pages, 1 figure, V2: published version
|
Phys. Rev. D 102, 066002 (2020)
|
10.1103/PhysRevD.102.066002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to the Ryu-Takayanagi prescription, the entanglement entropy of
subsystems in the boundary conformal field theory (CFT) is proportional to the
area of extremal surfaces in bulk asymptotically Anti-de Sitter (AdS)
spacetimes. The flat-space limit of these surfaces is not well defined in the
generic case. We introduce a new curve in the three-dimensional asymptotically
AdS spacetimes with a well-defined flat-space limit. We find this curve by
using a new vector, which is vanishing on it and is normal to the bulk modular
flow of the original interval in the two-dimensional CFT. The flat-space limit
of this new vector is well defined and gives rise to the bulk modular flow of
the corresponding asymptotically flat spacetime. Moreover, after Rindler
transformation, this new vector is the normal Killing vector of the BTZ inner
horizon. We reproduce all known results about the holographic entanglement
entropy of Bondi-Metzner-Sachs invariant field theories, which are dual to the
asymptotically flat spacetimes.
|
[
{
"created": "Mon, 29 Jun 2020 15:36:47 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Sep 2020 13:12:51 GMT",
"version": "v2"
}
] |
2020-09-16
|
[
[
"Fareghbal",
"Reza",
""
],
[
"Shalamzari",
"Mehdi Hakami",
""
],
[
"Karimi",
"Pedram",
""
]
] |
According to the Ryu-Takayanagi prescription, the entanglement entropy of subsystems in the boundary conformal field theory (CFT) is proportional to the area of extremal surfaces in bulk asymptotically Anti-de Sitter (AdS) spacetimes. The flat-space limit of these surfaces is not well defined in the generic case. We introduce a new curve in the three-dimensional asymptotically AdS spacetimes with a well-defined flat-space limit. We find this curve by using a new vector, which is vanishing on it and is normal to the bulk modular flow of the original interval in the two-dimensional CFT. The flat-space limit of this new vector is well defined and gives rise to the bulk modular flow of the corresponding asymptotically flat spacetime. Moreover, after Rindler transformation, this new vector is the normal Killing vector of the BTZ inner horizon. We reproduce all known results about the holographic entanglement entropy of Bondi-Metzner-Sachs invariant field theories, which are dual to the asymptotically flat spacetimes.
|
hep-th/9612018
| null |
M. Khorrami and M. Alimohammadi
|
Observables of the generalized 2D Yang-Mills theories on arbitrary
surfaces: a path integral approach
|
6 pages, LaTex
|
Mod.Phys.Lett.A12:2265-2270,1997
|
10.1142/S0217732397002338
|
IPM-96-
|
hep-th
| null |
Using the path integral method, we calculate the partition function and the
generating functional (of the field strengths) of the generalized 2D Yang-Mills
theories in the Schwinger--Fock gauge. Our calculation is done for arbitrary 2D
orientable, and also nonorientable surfaces.
|
[
{
"created": "Sun, 1 Dec 1996 07:22:08 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Khorrami",
"M.",
""
],
[
"Alimohammadi",
"M.",
""
]
] |
Using the path integral method, we calculate the partition function and the generating functional (of the field strengths) of the generalized 2D Yang-Mills theories in the Schwinger--Fock gauge. Our calculation is done for arbitrary 2D orientable, and also nonorientable surfaces.
|
1409.2369
|
Rong-Gen Cai
|
Rong-Gen Cai, Ya-Peng Hu, Qi-Yuan Pan, Yun-Long Zhang
|
Thermodynamics of Black Holes in Massive Gravity
|
Latex 19 pages with 8 figures
|
Phys. Rev. D 91 (2015) 024032
|
10.1103/PhysRevD.91.024032
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/3.0/
|
We present a class of charged black hole solutions in an ($n+2)$-dimensional
massive gravity with a negative cosmological constant, and study thermodynamics
and phase structure of the black hole solutions both in grand canonical
ensemble and canonical ensemble. The black hole horizon can have a positive,
zero or negative constant curvature characterized by constant $k$. By using
Hamiltonian approach, we obtain conserved charges of the solutions and find
black hole entropy still obeys the area formula and the gravitational field
equation at the black hole horizon can be cast into the first law form of black
hole thermodynamics. In grand canonical ensemble, we find that thermodynamics
and phase structure depends on the combination $k -\mu^2/4 +c_2 m^2$ in the
four dimensional case, where $\mu$ is the chemical potential and $c_2m^2$ is
the coefficient of the second term in the potential associated with graviton
mass. When it is positive, the Hawking-Page phase transition can happen, while
as it is negative, the black hole is always thermodynamically stable with a
positive capacity. In canonical ensemble, the combination turns out to be
$k+c_2m^2$ in the four dimensional case. When it is positive, a first order
phase transition can happen between small and large black holes if the charge
is less than its critical one. In higher dimensional ($n+2 \ge 5$) case, even
when the charge is absent, the small/large black hole phase transition can also
appear, the coefficients for the third ($c_3m^2$) and/or the fourth ($c_4m^2$)
terms in the potential associated with graviton mass in the massive gravity can
play the same role as the charge does in the four dimensional case.
|
[
{
"created": "Mon, 8 Sep 2014 14:38:33 GMT",
"version": "v1"
}
] |
2015-01-27
|
[
[
"Cai",
"Rong-Gen",
""
],
[
"Hu",
"Ya-Peng",
""
],
[
"Pan",
"Qi-Yuan",
""
],
[
"Zhang",
"Yun-Long",
""
]
] |
We present a class of charged black hole solutions in an ($n+2)$-dimensional massive gravity with a negative cosmological constant, and study thermodynamics and phase structure of the black hole solutions both in grand canonical ensemble and canonical ensemble. The black hole horizon can have a positive, zero or negative constant curvature characterized by constant $k$. By using Hamiltonian approach, we obtain conserved charges of the solutions and find black hole entropy still obeys the area formula and the gravitational field equation at the black hole horizon can be cast into the first law form of black hole thermodynamics. In grand canonical ensemble, we find that thermodynamics and phase structure depends on the combination $k -\mu^2/4 +c_2 m^2$ in the four dimensional case, where $\mu$ is the chemical potential and $c_2m^2$ is the coefficient of the second term in the potential associated with graviton mass. When it is positive, the Hawking-Page phase transition can happen, while as it is negative, the black hole is always thermodynamically stable with a positive capacity. In canonical ensemble, the combination turns out to be $k+c_2m^2$ in the four dimensional case. When it is positive, a first order phase transition can happen between small and large black holes if the charge is less than its critical one. In higher dimensional ($n+2 \ge 5$) case, even when the charge is absent, the small/large black hole phase transition can also appear, the coefficients for the third ($c_3m^2$) and/or the fourth ($c_4m^2$) terms in the potential associated with graviton mass in the massive gravity can play the same role as the charge does in the four dimensional case.
|
2401.04712
|
Ichiro Oda
|
Ichiro Oda
|
Effective Potential for Conformal Factor and GL(4) Symmetry
|
12 pages
| null | null |
DPUR/TH/78
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit the issue that the effective potential for the conformal factor of
the metric, which is generated by quantized matter fields, possesses a
non-vanishing vacuum expectation value (VEV) or not. We prove that the
effective potential has a vanishing vacuum expectation value on the basis of a
global $GL(4)$ symmetry. We also account for the reason why there seem to be
two different effective potentials for the conformal factor in a theory, one of
which gives rise to a vanishing VEV for the conformal factor whereas the other
does a non-vanishing VEV.
|
[
{
"created": "Tue, 9 Jan 2024 18:35:13 GMT",
"version": "v1"
}
] |
2024-01-10
|
[
[
"Oda",
"Ichiro",
""
]
] |
We revisit the issue that the effective potential for the conformal factor of the metric, which is generated by quantized matter fields, possesses a non-vanishing vacuum expectation value (VEV) or not. We prove that the effective potential has a vanishing vacuum expectation value on the basis of a global $GL(4)$ symmetry. We also account for the reason why there seem to be two different effective potentials for the conformal factor in a theory, one of which gives rise to a vanishing VEV for the conformal factor whereas the other does a non-vanishing VEV.
|
2109.07635
|
Ran Li
|
Ran Li, Jin Wang
|
Free energy landscape and kinetics of phase transition in two coupled
SYK models
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose that the thermodynamics and the kinetics of the phase transition
between wormhole and two black hole described by the two coupled SYK model can
be investigated in terms of the stochastic dynamics on the underlying free
energy landscape. We assume that the phase transition is a stochastic process
under the thermal fluctuations. By quantifying the underlying free energy
landscape, we study the phase diagram, the kinetic time and its fluctuations in
details, which reveal the underlying thermodynamics and kinetics. It is shown
that the first order phase transition between wormhole and two black hole
described by two coupled SYK model is analogous to the Van der Waals phase
transition. Therefore, the emergence of wormhole and two black hole phases, the
phase transition and associated kinetics can be quantitatively addressed in our
free energy landscape and kinetic framework through the dependence on the
barrier height and the temperature.
|
[
{
"created": "Thu, 16 Sep 2021 00:25:04 GMT",
"version": "v1"
}
] |
2021-09-17
|
[
[
"Li",
"Ran",
""
],
[
"Wang",
"Jin",
""
]
] |
We propose that the thermodynamics and the kinetics of the phase transition between wormhole and two black hole described by the two coupled SYK model can be investigated in terms of the stochastic dynamics on the underlying free energy landscape. We assume that the phase transition is a stochastic process under the thermal fluctuations. By quantifying the underlying free energy landscape, we study the phase diagram, the kinetic time and its fluctuations in details, which reveal the underlying thermodynamics and kinetics. It is shown that the first order phase transition between wormhole and two black hole described by two coupled SYK model is analogous to the Van der Waals phase transition. Therefore, the emergence of wormhole and two black hole phases, the phase transition and associated kinetics can be quantitatively addressed in our free energy landscape and kinetic framework through the dependence on the barrier height and the temperature.
|
hep-th/9211125
| null |
T. S. Hakobyan and A. G. Sedrakyan
|
R-matrices for highest weight representations of sl_q(2,C) at roots of
unity
|
9 pages
|
Phys.Lett. B303 (1993) 27-32
|
10.1016/0370-2693(93)90038-J
|
ENSLAPP-A-406/92
|
hep-th math.QA
| null |
The general formula for R-matrices of slq(2,C) for the highest weight repre-
sentations both for general q and for q being a root of unity by generalizing
G.Gomez's and G.Sierra's one for semiperiodic representations of slq(2,C) at
roots of unity is presented.
|
[
{
"created": "Thu, 26 Nov 1992 16:26:18 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jan 1993 15:47:09 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Hakobyan",
"T. S.",
""
],
[
"Sedrakyan",
"A. G.",
""
]
] |
The general formula for R-matrices of slq(2,C) for the highest weight repre- sentations both for general q and for q being a root of unity by generalizing G.Gomez's and G.Sierra's one for semiperiodic representations of slq(2,C) at roots of unity is presented.
|
1307.4244
|
Benjamin Assel
|
Benjamin Assel
|
Holographic Duality for three-dimensional Super-conformal Field Theories
|
PhD thesis, 149 pages, 34 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis is based on the publications arXiv:1106.4253, arXiv:1206.2920,
arXiv:1210.2590. We construct warped "AdS_4 x S^2 x S^2 x \Sigma" type IIB
supergravity solutions dual to the infrared fixed points of all 3d N=4 linear
and circular quivers. We provide checks of the correspondence by evaluating the
supergravity action in a large N limit and by matching it with the computation
of the free energy obtained from matrix models. To complete previous work, we
establish the holographic dictionary for the more general supergravity
solutions corresponding to domain walls (non-compact \Sigma) and dual to 4d SYM
CFT coupled to a 1/2 BPS 3d defect. We also use our evaluations of the free
energy to show that the F-theorem is verified for RG-flow relating
T^{\rho}_{\hat\rho}(SU(N)) SCFTs.
|
[
{
"created": "Tue, 16 Jul 2013 11:39:00 GMT",
"version": "v1"
}
] |
2013-07-17
|
[
[
"Assel",
"Benjamin",
""
]
] |
This thesis is based on the publications arXiv:1106.4253, arXiv:1206.2920, arXiv:1210.2590. We construct warped "AdS_4 x S^2 x S^2 x \Sigma" type IIB supergravity solutions dual to the infrared fixed points of all 3d N=4 linear and circular quivers. We provide checks of the correspondence by evaluating the supergravity action in a large N limit and by matching it with the computation of the free energy obtained from matrix models. To complete previous work, we establish the holographic dictionary for the more general supergravity solutions corresponding to domain walls (non-compact \Sigma) and dual to 4d SYM CFT coupled to a 1/2 BPS 3d defect. We also use our evaluations of the free energy to show that the F-theorem is verified for RG-flow relating T^{\rho}_{\hat\rho}(SU(N)) SCFTs.
|
hep-th/0408163
|
Konstantin Zloshchastiev
|
Konstantin G. Zloshchastiev
|
Coexistence of black holes and a long-range scalar field in cosmology
|
4 pages, 4 figures
|
Phys.Rev.Lett. 94 (2005) 121101
|
10.1103/PhysRevLett.94.121101
| null |
hep-th astro-ph gr-qc
| null |
The exactly solvable scalar hairy black hole model (originated from the
modern high-energy theory) is proposed. It turns out that the existence of
black holes (BH) is strongly correlated to global scalar field, in a sense that
they mutually impose bounds upon their physical parameters like the BH mass
(lower bound) or the cosmological constant (upper bound). We consider the same
model also as a cosmological one and show that it agrees with recent
experimental data; additionally, it provides a unified quintessence-like
description of dark energy and dark matter.
|
[
{
"created": "Fri, 20 Aug 2004 20:00:52 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 2004 23:19:37 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Mar 2005 17:15:14 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Zloshchastiev",
"Konstantin G.",
""
]
] |
The exactly solvable scalar hairy black hole model (originated from the modern high-energy theory) is proposed. It turns out that the existence of black holes (BH) is strongly correlated to global scalar field, in a sense that they mutually impose bounds upon their physical parameters like the BH mass (lower bound) or the cosmological constant (upper bound). We consider the same model also as a cosmological one and show that it agrees with recent experimental data; additionally, it provides a unified quintessence-like description of dark energy and dark matter.
|
0804.2028
|
Leonardo Quevedo
|
A. De Castro (1), I. Martin (1), L. Quevedo (1), A. Restuccia (1,2)
((1) Universidad Simon Bolivar, (2) Max Planck Inst. fur Gravitationsphysik)
|
Noncommutative associative superproduct for general supersymplectic
forms
|
22 pages, revtex4. References added. Comments added. Includes
additional theorem proofs
|
JHEP 0808:009,2008
|
10.1088/1126-6708/2008/08/009
|
SB/F/360-08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a noncommutative and nonanticommutative associative product for
general supersymplectic forms, allowing the explicit treatment of
non(anti)commutative field theories from general nonconstant string backgrounds
like a graviphoton field. We propose a generalization of deformation
quantization a la Fedosov to superspace, which considers noncommutativity in
the tangent bundle instead of base space, by defining the Weyl super product of
elements of Weyl super algebra bundles. Super Poincare symmetry is not broken
and chirality seems not to be compromised in our formulation. We show that, for
a particular case, the projection of the Weyl super product to the base space
gives rise the Moyal product for non(anti)commutative theories.
|
[
{
"created": "Sat, 12 Apr 2008 19:50:51 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jun 2008 18:38:07 GMT",
"version": "v2"
}
] |
2009-12-04
|
[
[
"De Castro",
"A.",
"",
"Universidad Simon Bolivar"
],
[
"Martin",
"I.",
"",
"Universidad Simon Bolivar"
],
[
"Quevedo",
"L.",
"",
"Universidad Simon Bolivar"
],
[
"Restuccia",
"A.",
"",
"Universidad Simon Bolivar",
"Max Planck Inst. fur Gravitationsphysik"
]
] |
We define a noncommutative and nonanticommutative associative product for general supersymplectic forms, allowing the explicit treatment of non(anti)commutative field theories from general nonconstant string backgrounds like a graviphoton field. We propose a generalization of deformation quantization a la Fedosov to superspace, which considers noncommutativity in the tangent bundle instead of base space, by defining the Weyl super product of elements of Weyl super algebra bundles. Super Poincare symmetry is not broken and chirality seems not to be compromised in our formulation. We show that, for a particular case, the projection of the Weyl super product to the base space gives rise the Moyal product for non(anti)commutative theories.
|
hep-th/9507005
|
Dmitri Vladimirovich Galtsov
|
D.V. Gal'tsov and O.V. Kechkin
|
U-Duality and Symplectic Formulation of Dilaton-Axion Gravity
|
LATEX, 20 pages, no figures
|
Phys.Rev. D54 (1996) 1656-1666
|
10.1103/PhysRevD.54.1656
|
DTP-MSU/95-19
|
hep-th
| null |
We study a bosonic four--dimensional effective action corresponding to the
heterotic string compactified on a 6--torus (dilaton--axion gravity with one
vector field) on a curved space--time manifold possessing a time--like Killing
vector field. Previously an existence of the $SO(2,3)\sim Sp(4, R)$ global
symmetry ($U$--duality) as well as the symmetric space property of the
corresponding $\sigma$--model have been established following Neugebauer and
Kramer approach. Here we present an explicit form of the $Sp(4, R)$ generators
in terms of coset variables and construct a representation of the coset in
terms of the physical target space coordinates. Complex symmetric $2\times 2$
matrix $Z$ (``matrix dilaton --axion'') is introduced for which $U$--duality
takes the matrix valued $SL(2, R)$ form. In terms of this matrix the theory is
further presented as a K\"ahler $\sigma$--model. This leads to a more concise
$2\times 2$ formulation which opens new ways to construct exact classical
solutions. New solution (corresponding to constant ${\rm Im} Z$ ) is obtained
which describes the system of point massless magnetic monopoles endowed with
axion charges equal to minus monopole charges. In such a system mutual magnetic
repulsion is exactly balanced by axion attraction so that the resulting space
time is locally flat but possesses multiple Taub--NUT singularities.
|
[
{
"created": "Mon, 3 Jul 1995 15:07:51 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Gal'tsov",
"D. V.",
""
],
[
"Kechkin",
"O. V.",
""
]
] |
We study a bosonic four--dimensional effective action corresponding to the heterotic string compactified on a 6--torus (dilaton--axion gravity with one vector field) on a curved space--time manifold possessing a time--like Killing vector field. Previously an existence of the $SO(2,3)\sim Sp(4, R)$ global symmetry ($U$--duality) as well as the symmetric space property of the corresponding $\sigma$--model have been established following Neugebauer and Kramer approach. Here we present an explicit form of the $Sp(4, R)$ generators in terms of coset variables and construct a representation of the coset in terms of the physical target space coordinates. Complex symmetric $2\times 2$ matrix $Z$ (``matrix dilaton --axion'') is introduced for which $U$--duality takes the matrix valued $SL(2, R)$ form. In terms of this matrix the theory is further presented as a K\"ahler $\sigma$--model. This leads to a more concise $2\times 2$ formulation which opens new ways to construct exact classical solutions. New solution (corresponding to constant ${\rm Im} Z$ ) is obtained which describes the system of point massless magnetic monopoles endowed with axion charges equal to minus monopole charges. In such a system mutual magnetic repulsion is exactly balanced by axion attraction so that the resulting space time is locally flat but possesses multiple Taub--NUT singularities.
|
hep-th/9405087
|
Volkov
|
L. Faddeev and A.Yu. Volkov
|
Hirota equation as an example of integrable symplectic map
|
10 pages, LaTeX
|
Lett.Math.Phys. 32 (1994) 125-136
|
10.1007/BF00739422
| null |
hep-th
| null |
The hamiltonian formalism is developed for the sine-Gordon model on the
space-time light-like lattice, first introduced by Hirota. The evolution
operator is explicitely constructed in the quantum variant of the model, the
integrability of the corresponding classical finite-dimensional system is
established.
|
[
{
"created": "Fri, 13 May 1994 14:35:51 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Faddeev",
"L.",
""
],
[
"Volkov",
"A. Yu.",
""
]
] |
The hamiltonian formalism is developed for the sine-Gordon model on the space-time light-like lattice, first introduced by Hirota. The evolution operator is explicitely constructed in the quantum variant of the model, the integrability of the corresponding classical finite-dimensional system is established.
|
0911.0167
|
Bin Chen
|
Bin Chen, Bo Ning and Zhi-bo Xu
|
Real-time correlators in warped AdS/CFT correspondence
|
27 pages
|
JHEP 1002:031,2010
|
10.1007/JHEP02(2010)031
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study real-time correlators in the warped AdS/CFT correspondence. We apply
the prescription used in the usual AdS/CFT correspondence and obtain the
retarded Green's functions for the scalar and vector fields in the spacelike
warped and the null warped black hole backgrounds. We find that the retarded
Green's functions and the cross sections are well consistent with the
predictions from dual CFT. Our results not only support strongly the
conjectured warped AdS/CFT correspondence, but also show that the usual
relativistic AdS/CFT prescription of obtaining the real-time correlators remain
effective in more general backgrounds with anisotropic conformal infinity.
|
[
{
"created": "Sun, 1 Nov 2009 14:45:34 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Chen",
"Bin",
""
],
[
"Ning",
"Bo",
""
],
[
"Xu",
"Zhi-bo",
""
]
] |
We study real-time correlators in the warped AdS/CFT correspondence. We apply the prescription used in the usual AdS/CFT correspondence and obtain the retarded Green's functions for the scalar and vector fields in the spacelike warped and the null warped black hole backgrounds. We find that the retarded Green's functions and the cross sections are well consistent with the predictions from dual CFT. Our results not only support strongly the conjectured warped AdS/CFT correspondence, but also show that the usual relativistic AdS/CFT prescription of obtaining the real-time correlators remain effective in more general backgrounds with anisotropic conformal infinity.
|
hep-th/9511111
|
Alexander Belopolsky
|
Alexander Astashkevich and Alexander Belopolsky
|
String center of mass operator and its effect on BRST cohomology
|
41 pages, LaTeX
|
Commun.Math.Phys.186:109-136,1997
|
10.1007/BF02885675
|
MIT-CTP 2471
|
hep-th
| null |
We consider the theory of bosonic closed strings on the flat background
R(25,1). We show how the BRST complex can be extended to a complex where the
string center of mass operator, x^mu_0, is well defined. We investigate the
cohomology of the extended complex. We demonstrate that this cohomology has a
number of interesting features. Unlike in the standard BRST cohomology, there
is no doubling of physical states in the extended complex. The cohomology of
the extended complex is more physical in a number of of aspects related to the
zero-momentum states. In particular, we show that the ghost number one
zero-momentum cohomology states are in one to one correspondence with the
generators of the global symmetries of the background i.e., the Poincare
algebra.
|
[
{
"created": "Wed, 15 Nov 1995 22:36:30 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Astashkevich",
"Alexander",
""
],
[
"Belopolsky",
"Alexander",
""
]
] |
We consider the theory of bosonic closed strings on the flat background R(25,1). We show how the BRST complex can be extended to a complex where the string center of mass operator, x^mu_0, is well defined. We investigate the cohomology of the extended complex. We demonstrate that this cohomology has a number of interesting features. Unlike in the standard BRST cohomology, there is no doubling of physical states in the extended complex. The cohomology of the extended complex is more physical in a number of of aspects related to the zero-momentum states. In particular, we show that the ghost number one zero-momentum cohomology states are in one to one correspondence with the generators of the global symmetries of the background i.e., the Poincare algebra.
|
2306.02026
|
Nicol\`o Petri
|
Yixuan Li, Eran Palti, Nicol\`o Petri
|
Towards AdS Distances in String Theory
|
30 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The AdS Distance Conjecture proposes to assign a notion of distance between
AdS vacua in quantum gravity. We perform some initial developments of this
idea. We first propose more sharply how to define a metric on conformal
variations of AdS through the action. This metric is negative, making the
distance ill-defined, a property relating to the famous conformal factor
problem of quantum gravity. However, in string theory, variations of the AdS
conformal factor are accompanied by variations of the internal dimensions and
of the background flux. We propose an $\textit{action metric}$, which accounts
for all of these variations simultaneously. Accounting for the variations of
the overall volume of the internal dimensions can flip the sign of the action
metric making it positive. This positivity is related to the absence of scale
separation between the internal and external dimensions: the negative external
conformal contribution must be sub-dominant to the positive internal
contribution. We then focus specifically on the families of solutions of
eleven-dimensional supergravity on AdS$_4 \times S^7$ and AdS$_7 \times S^4$.
For these, there is only a single further additional contribution to the action
metric coming from variations of the Freund-Rubin flux. This contribution is
subtle to implement, and the unique prescription we find requires singling out
the radial direction of AdS as special. Adding the flux contribution yields an
overall total action metric which becomes positive for both the AdS$_4$ and
AdS$_7$ families of solutions. The final result is therefore a procedure which
yields a well-defined distance for these families of solutions.
|
[
{
"created": "Sat, 3 Jun 2023 06:51:39 GMT",
"version": "v1"
}
] |
2023-06-06
|
[
[
"Li",
"Yixuan",
""
],
[
"Palti",
"Eran",
""
],
[
"Petri",
"Nicolò",
""
]
] |
The AdS Distance Conjecture proposes to assign a notion of distance between AdS vacua in quantum gravity. We perform some initial developments of this idea. We first propose more sharply how to define a metric on conformal variations of AdS through the action. This metric is negative, making the distance ill-defined, a property relating to the famous conformal factor problem of quantum gravity. However, in string theory, variations of the AdS conformal factor are accompanied by variations of the internal dimensions and of the background flux. We propose an $\textit{action metric}$, which accounts for all of these variations simultaneously. Accounting for the variations of the overall volume of the internal dimensions can flip the sign of the action metric making it positive. This positivity is related to the absence of scale separation between the internal and external dimensions: the negative external conformal contribution must be sub-dominant to the positive internal contribution. We then focus specifically on the families of solutions of eleven-dimensional supergravity on AdS$_4 \times S^7$ and AdS$_7 \times S^4$. For these, there is only a single further additional contribution to the action metric coming from variations of the Freund-Rubin flux. This contribution is subtle to implement, and the unique prescription we find requires singling out the radial direction of AdS as special. Adding the flux contribution yields an overall total action metric which becomes positive for both the AdS$_4$ and AdS$_7$ families of solutions. The final result is therefore a procedure which yields a well-defined distance for these families of solutions.
|
hep-th/9601161
|
Andrei Mironov
|
A.Gerasimov, S.Kharchev, A.Marshakov, A.Mironov, A.Morozov,
M.Olshanetsky (ITEP, Lebedev Physical Institute)
|
Liouville Type Models in Group Theory Framework. I. Finite-Dimensional
Algebras
|
47 pages, LaTeX
|
Int.J.Mod.Phys. A12 (1997) 2523-2584
|
10.1142/S0217751X97001444
|
ITEP/TH-7/95, FIAN/td-18/95
|
hep-th
| null |
In the series of papers we represent the ``Whittaker'' wave functional of
$d+1$-dimensional Liouville model as a correlator in $d+0$-dimensional theory
of the sine-Gordon type (for $d=0$ and $1$). Asypmtotics of this wave function
is characterized by the Harish-Chandra function, which is shown to be a product
of simple $\Gamma$-function factors over all positive roots of the
corresponding algebras (finite-dimensional for $d=0$ and affine for $d=1$).
This is in nice correspondence with the recent results on 2- and 3-point
correlators in $1+1$ Liouville model, where emergence of peculiar
double-periodicity is observed. The Whittaker wave functions of
$d+1$-dimensional non-affine ("conformal") Toda type models are given by simple
averages in the $d+0$ dimensional theories of the affine Toda type. This
phenomenon is in obvious parallel with representation of the free-field wave
functional, which is originally a Gaussian integral over interior of a
$d+1$-dimensional disk with given boundary conditions, as a (non-local)
quadratic integral over the $d$-dimensional boundary itself. In the present
paper we mostly concentrate on the finite-dimensional case. The results for
finite-dimensional "Iwasawa" Whittaker functions were known, and we present
their survey. We also construct new "Gauss" Whittaker functions.
|
[
{
"created": "Tue, 30 Jan 1996 16:37:22 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Gerasimov",
"A.",
"",
"ITEP, Lebedev Physical Institute"
],
[
"Kharchev",
"S.",
"",
"ITEP, Lebedev Physical Institute"
],
[
"Marshakov",
"A.",
"",
"ITEP, Lebedev Physical Institute"
],
[
"Mironov",
"A.",
"",
"ITEP, Lebedev Physical Institute"
],
[
"Morozov",
"A.",
"",
"ITEP, Lebedev Physical Institute"
],
[
"Olshanetsky",
"M.",
"",
"ITEP, Lebedev Physical Institute"
]
] |
In the series of papers we represent the ``Whittaker'' wave functional of $d+1$-dimensional Liouville model as a correlator in $d+0$-dimensional theory of the sine-Gordon type (for $d=0$ and $1$). Asypmtotics of this wave function is characterized by the Harish-Chandra function, which is shown to be a product of simple $\Gamma$-function factors over all positive roots of the corresponding algebras (finite-dimensional for $d=0$ and affine for $d=1$). This is in nice correspondence with the recent results on 2- and 3-point correlators in $1+1$ Liouville model, where emergence of peculiar double-periodicity is observed. The Whittaker wave functions of $d+1$-dimensional non-affine ("conformal") Toda type models are given by simple averages in the $d+0$ dimensional theories of the affine Toda type. This phenomenon is in obvious parallel with representation of the free-field wave functional, which is originally a Gaussian integral over interior of a $d+1$-dimensional disk with given boundary conditions, as a (non-local) quadratic integral over the $d$-dimensional boundary itself. In the present paper we mostly concentrate on the finite-dimensional case. The results for finite-dimensional "Iwasawa" Whittaker functions were known, and we present their survey. We also construct new "Gauss" Whittaker functions.
|
hep-th/0307065
|
Betti Hartmann
|
Betti Hartmann (University of Durham, UK), Yves Brihaye (University of
Mons, Belgium) and Bruno Bertrand (University of Mons, Belgium)
|
Spherically symmetric Yang-Mills solutions in a 5-dimensional (Anti-) de
Sitter space-time
|
9 Latex pages, 3 PS-figures
|
Phys.Lett.B570:137-144,2003
|
10.1016/j.physletb.2003.07.053
|
DCPT-03/35
|
hep-th gr-qc
| null |
We consider an Einstein-Yang-Mills Lagrangian in a five dimensional
space-time including a cosmological constant. Assuming all fields to be
independent of the extra coordinate, a dimensional reduction leads to an
effective (3+1)-dimensional Einstein-Yang-Mills-Higgs-dilaton model where the
cosmological constant induces a Liouville potential in the dilaton field. We
construct spherically symmetric solutions analytically in specific limits and
study the generic solutions for vanishing dilaton coupling numerically. We find
that in this latter case the solutions bifurcate with the branch of (Anti-) de
Sitter-Reissner-Nordstrom ((A)dSRN) solutions.
|
[
{
"created": "Mon, 7 Jul 2003 13:43:42 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Hartmann",
"Betti",
"",
"University of Durham, UK"
],
[
"Brihaye",
"Yves",
"",
"University of\n Mons, Belgium"
],
[
"Bertrand",
"Bruno",
"",
"University of Mons, Belgium"
]
] |
We consider an Einstein-Yang-Mills Lagrangian in a five dimensional space-time including a cosmological constant. Assuming all fields to be independent of the extra coordinate, a dimensional reduction leads to an effective (3+1)-dimensional Einstein-Yang-Mills-Higgs-dilaton model where the cosmological constant induces a Liouville potential in the dilaton field. We construct spherically symmetric solutions analytically in specific limits and study the generic solutions for vanishing dilaton coupling numerically. We find that in this latter case the solutions bifurcate with the branch of (Anti-) de Sitter-Reissner-Nordstrom ((A)dSRN) solutions.
|
hep-th/9709040
|
Chang-Yeong Lee
|
Chang-Yeong Lee (Sejong Univ.)
|
New Type of Vector Gauge Theory from Noncommutative Geometry
|
12 pages, LaTeX file, to appear in Phys. Lett. B
|
Phys.Lett. B427 (1998) 77-84
|
10.1016/S0370-2693(98)00327-X
| null |
hep-th
| null |
Using the formalism of noncommutative geometric gauge theory based on the
superconnection concept, we construct a new type of vector gauge theory
possessing a shift-like symmetry and the usual gauge symmetry. The new
shift-like symmetry is due to the matrix derivative of the noncommutative
geometric gauge theory, and this gives rise to a mass term for the vector field
without introducing the Higgs field. This construction becomes possible by
using a constant one form even matrix for the matrix derivative, for which only
constant zero form odd matrices have been used so far. The fermionic action in
this formalism is also constructed and discussed.
|
[
{
"created": "Thu, 4 Sep 1997 13:04:23 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Mar 1998 13:35:02 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Lee",
"Chang-Yeong",
"",
"Sejong Univ."
]
] |
Using the formalism of noncommutative geometric gauge theory based on the superconnection concept, we construct a new type of vector gauge theory possessing a shift-like symmetry and the usual gauge symmetry. The new shift-like symmetry is due to the matrix derivative of the noncommutative geometric gauge theory, and this gives rise to a mass term for the vector field without introducing the Higgs field. This construction becomes possible by using a constant one form even matrix for the matrix derivative, for which only constant zero form odd matrices have been used so far. The fermionic action in this formalism is also constructed and discussed.
|
1909.12632
|
Kamal Lochan Panigrahi
|
Adrita Chakraborty and Kamal L. Panigrahi
|
Neumann-Rosochatius system for strings in ABJ Model
|
20 pages, several typos corrected. Better presented. Added
references. To appear in JHEP
| null |
10.1007/JHEP12(2019)024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Neumann-Rosochatius system is a well known one dimensional integrable system.
We study the rotating and pulsating string in $AdS_4 \times \mathbb{CP}^3$ with
a $B_{\rm{NS}}$ holonomy turned on over $\mathbb{CP}^1 \subset \mathbb{CP}^3$,
or the so called Aharony-Bergman-Jafferis (ABJ) background. We observe that the
string equations of motion in both cases are integrable and the Lagrangians
reduce to a form similar to that of deformed Neuman-Rosochatius system. We find
out the scaling relations among various conserved charges and comment on the
finite size effect for the dyonic giant magnons on $R_{t}\times
\mathbb{CP}^{3}$ with two angular momenta. For the pulsating string we derive
the energy as function of oscillation number and angular momenta along
$\mathbb{CP}^{3}$.
|
[
{
"created": "Fri, 27 Sep 2019 11:38:24 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 2019 13:15:29 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Nov 2019 06:20:58 GMT",
"version": "v3"
}
] |
2020-01-29
|
[
[
"Chakraborty",
"Adrita",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] |
Neumann-Rosochatius system is a well known one dimensional integrable system. We study the rotating and pulsating string in $AdS_4 \times \mathbb{CP}^3$ with a $B_{\rm{NS}}$ holonomy turned on over $\mathbb{CP}^1 \subset \mathbb{CP}^3$, or the so called Aharony-Bergman-Jafferis (ABJ) background. We observe that the string equations of motion in both cases are integrable and the Lagrangians reduce to a form similar to that of deformed Neuman-Rosochatius system. We find out the scaling relations among various conserved charges and comment on the finite size effect for the dyonic giant magnons on $R_{t}\times \mathbb{CP}^{3}$ with two angular momenta. For the pulsating string we derive the energy as function of oscillation number and angular momenta along $\mathbb{CP}^{3}$.
|
1903.08761
|
Junggi Yoon
|
Prithvi Narayan and Junggi Yoon
|
Chaos in Three-dimensional Higher Spin Gravity
|
42 page, 1 figure; v2 references added and typos corrected
| null |
10.1007/JHEP07(2019)046
|
KIAS-P19017
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss $SL(N,\mathbb{C})$ Chern-Simons higher spin gauge theories in
Euclidean AdS$_3$. With appropriate boundary term, we derive the higher spin
generalization of Schwarzian on-shell action. We investigate gravitationally
dressed bi-locals, and we study the soft higher spin mode expansion to obtain
soft mode eigenfunctions. We also derive the spin-$s$ eigenfunction from
$\mathcal{W}$-Ward identity and a recursion relation. Using the on-shell
action, we evaluate the contributions of the soft higher spin modes to the
out-of-time-order correlators, and the corresponding Lyapunov exponent of
$SL(N)$ higher spin gravity is found to be ${2\pi \over \beta}(N-1)$.
|
[
{
"created": "Wed, 20 Mar 2019 22:04:36 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2019 12:20:45 GMT",
"version": "v2"
}
] |
2019-09-04
|
[
[
"Narayan",
"Prithvi",
""
],
[
"Yoon",
"Junggi",
""
]
] |
We discuss $SL(N,\mathbb{C})$ Chern-Simons higher spin gauge theories in Euclidean AdS$_3$. With appropriate boundary term, we derive the higher spin generalization of Schwarzian on-shell action. We investigate gravitationally dressed bi-locals, and we study the soft higher spin mode expansion to obtain soft mode eigenfunctions. We also derive the spin-$s$ eigenfunction from $\mathcal{W}$-Ward identity and a recursion relation. Using the on-shell action, we evaluate the contributions of the soft higher spin modes to the out-of-time-order correlators, and the corresponding Lyapunov exponent of $SL(N)$ higher spin gravity is found to be ${2\pi \over \beta}(N-1)$.
|
2211.14332
|
Eric R. Sharpe
|
Daniel Robbins, Eric Sharpe, Thomas Vandermeulen
|
Decomposition, Trivially-Acting Symmetries, and Topological Operators
|
34 pages, 2 appendices, 16 figures; v2: some statements in section
4.5 corrected
|
Phys. Rev. D 107, 085017 (2023)
|
10.1103/PhysRevD.107.085017
|
MI-HET-787
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Trivially-acting symmetries in two-dimensional conformal field theory include
twist fields of dimension zero which are local topological operators. We
investigate the consequences of regarding these operators as part of the global
symmetry of the theory. That is, we regard such a symmetry as a mix of
topological defect lines (TDLs) and topological point operators (TPOs). TDLs
related by a trivially-acting symmetry can join at a TPO to form non-trivial
two-way junctions. Upon gauging, the local operators at those junctions can
become vacua in a disjoint union of theories. Examining the behavior of the
TPOs under gauging therefore allows us to refine decomposition by tracking the
trivially-acting symmetries of each universe. Mixed anomalies between the TDLs
and TPOs provide discrete torsion-like phases for the partition functions of
these orbifolds, modifying the resulting decomposition. This framework also
readily allows for the consideration of trivially-acting non-invertible
symmetries.
|
[
{
"created": "Fri, 25 Nov 2022 19:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2023 21:48:29 GMT",
"version": "v2"
}
] |
2023-11-30
|
[
[
"Robbins",
"Daniel",
""
],
[
"Sharpe",
"Eric",
""
],
[
"Vandermeulen",
"Thomas",
""
]
] |
Trivially-acting symmetries in two-dimensional conformal field theory include twist fields of dimension zero which are local topological operators. We investigate the consequences of regarding these operators as part of the global symmetry of the theory. That is, we regard such a symmetry as a mix of topological defect lines (TDLs) and topological point operators (TPOs). TDLs related by a trivially-acting symmetry can join at a TPO to form non-trivial two-way junctions. Upon gauging, the local operators at those junctions can become vacua in a disjoint union of theories. Examining the behavior of the TPOs under gauging therefore allows us to refine decomposition by tracking the trivially-acting symmetries of each universe. Mixed anomalies between the TDLs and TPOs provide discrete torsion-like phases for the partition functions of these orbifolds, modifying the resulting decomposition. This framework also readily allows for the consideration of trivially-acting non-invertible symmetries.
|
1402.4497
|
Christoph Uhlemann
|
Andreas Karch and Christoph F. Uhlemann
|
Generalized gravitational entropy of probe branes: flavor entanglement
holographically
|
24 pages, 1 figure
|
JHEP 1405 (2014) 017
|
10.1007/JHEP05(2014)017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The notion of generalized gravitational entropy introduced by Lewkowycz and
Maldacena allows, via the AdS/CFT correspondence, to calculate CFT entanglement
entropies. We adapt the method to the case where flavor branes are present and
treated in the probe approximation. This allows to calculate the leading flavor
correction to the CFT entanglement entropy from the on-shell action of the
probe, while dealing with the backreaction is avoided entirely and from the
outset. As an application we give concise derivations for the contribution of
massless and massive flavor degrees of freedom to the entanglement entropy in
N=4 SYM theory.
|
[
{
"created": "Tue, 18 Feb 2014 21:22:46 GMT",
"version": "v1"
},
{
"created": "Wed, 14 May 2014 04:36:43 GMT",
"version": "v2"
}
] |
2014-05-15
|
[
[
"Karch",
"Andreas",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
The notion of generalized gravitational entropy introduced by Lewkowycz and Maldacena allows, via the AdS/CFT correspondence, to calculate CFT entanglement entropies. We adapt the method to the case where flavor branes are present and treated in the probe approximation. This allows to calculate the leading flavor correction to the CFT entanglement entropy from the on-shell action of the probe, while dealing with the backreaction is avoided entirely and from the outset. As an application we give concise derivations for the contribution of massless and massive flavor degrees of freedom to the entanglement entropy in N=4 SYM theory.
|
hep-th/9706203
| null |
C.R. Fern\'andez-Pousa and J.L. Miramontes
|
Semi-classical spectrum of the Homogeneous sine-Gordon theories
|
28 pages, plain TeX, no figures
|
Nucl.Phys.B518:745-769,1998
|
10.1016/S0550-3213(98)00060-1
|
US-FT/19-97
|
hep-th
| null |
The semi-classical spectrum of the Homogeneous sine-Gordon theories
associated with an arbitrary compact simple Lie group G is obtained and shown
to be entirely given by solitons. These theories describe quantum integrable
massive perturbations of Gepner's G-parafermions whose classical
equations-of-motion are non-abelian affine Toda equations. One-soliton
solutions are constructed by embeddings of the SU(2) complex sine-Gordon
soliton in the regular SU(2) subgroups of G. The resulting spectrum exhibits
both stable and unstable particles, which is a peculiar feature shared with the
spectrum of monopoles and dyons in N=2 and N=4 supersymmetric gauge theories.
|
[
{
"created": "Fri, 27 Jun 1997 18:54:32 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Fernández-Pousa",
"C. R.",
""
],
[
"Miramontes",
"J. L.",
""
]
] |
The semi-classical spectrum of the Homogeneous sine-Gordon theories associated with an arbitrary compact simple Lie group G is obtained and shown to be entirely given by solitons. These theories describe quantum integrable massive perturbations of Gepner's G-parafermions whose classical equations-of-motion are non-abelian affine Toda equations. One-soliton solutions are constructed by embeddings of the SU(2) complex sine-Gordon soliton in the regular SU(2) subgroups of G. The resulting spectrum exhibits both stable and unstable particles, which is a peculiar feature shared with the spectrum of monopoles and dyons in N=2 and N=4 supersymmetric gauge theories.
|
hep-th/0502185
|
Asko Jokinen
|
Kari Enqvist, Asko Jokinen, Anupam Mazumdar, Tuomas Multamaki, Antti
Vaihkonen
|
Cosmological constraints on string scale and coupling arising from
tachyonic instability
|
12 pages, 2 figures, typo corrected, discussion and references added
|
JHEP 0508 (2005) 084
|
10.1088/1126-6708/2005/08/084
|
HIP-2005-07/TH, NORDITA-2005-18
|
hep-th astro-ph hep-ph
| null |
We demonstrate that string motivated inflation ending via tachyonic
instability leaves a detectable imprint on the cosmic microwave background
(CMB) radiation by virtue of the excitation of non-Gaussian gravitational
fluctuations. The present WMAP bound on non-Gaussianity is shown to constrain
the string scale by $M_S/M_P\leq 10^{-4}$ for string coupling $g_{s}<0.1$,
hence improving the existing bounds. If tachyon fluctuations during inflation
are not negligible, we find the stringent constraint $g_s\sim 10^{-9}$ for
$M_{S}/M_{P}<10^{-3}$. This case may soon be ruled out by the forthcoming CMB
non-Gaussinianity bounds.
|
[
{
"created": "Mon, 21 Feb 2005 17:05:56 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2005 08:48:49 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Enqvist",
"Kari",
""
],
[
"Jokinen",
"Asko",
""
],
[
"Mazumdar",
"Anupam",
""
],
[
"Multamaki",
"Tuomas",
""
],
[
"Vaihkonen",
"Antti",
""
]
] |
We demonstrate that string motivated inflation ending via tachyonic instability leaves a detectable imprint on the cosmic microwave background (CMB) radiation by virtue of the excitation of non-Gaussian gravitational fluctuations. The present WMAP bound on non-Gaussianity is shown to constrain the string scale by $M_S/M_P\leq 10^{-4}$ for string coupling $g_{s}<0.1$, hence improving the existing bounds. If tachyon fluctuations during inflation are not negligible, we find the stringent constraint $g_s\sim 10^{-9}$ for $M_{S}/M_{P}<10^{-3}$. This case may soon be ruled out by the forthcoming CMB non-Gaussinianity bounds.
|
hep-th/0312142
|
Carlos M. Naon
|
Carlos M. Na\'on, Mariano J. Salvay, Marta L. Trobo
|
Functional bosonization with time dependent perturbations
|
21 pages, 8 figures
|
Int.J.Mod.Phys. A19 (2004) 4953-4972
|
10.1142/S0217751X04020695
| null |
hep-th cond-mat
| null |
We extend a path-integral approach to bosonization previously developed in
the framework of equilibrium Quantum Field Theories, to the case in which
time-dependent interactions are taken into account. In particular we consider a
non covariant version of the Thirring model in the presence of a dynamic
barrier at zero temperature. By using the Closed Time Path (Schwinger-Keldysh)
formalism, we compute the Green's function and the Total Energy Density of the
system. Since our model contains the Tomonaga Luttinger model as a particular
case, we make contact with recent results on non-equilibrium electronic
systems.
|
[
{
"created": "Fri, 12 Dec 2003 20:56:50 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Naón",
"Carlos M.",
""
],
[
"Salvay",
"Mariano J.",
""
],
[
"Trobo",
"Marta L.",
""
]
] |
We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non covariant version of the Thirring model in the presence of a dynamic barrier at zero temperature. By using the Closed Time Path (Schwinger-Keldysh) formalism, we compute the Green's function and the Total Energy Density of the system. Since our model contains the Tomonaga Luttinger model as a particular case, we make contact with recent results on non-equilibrium electronic systems.
|
0705.2525
|
Douglas A. Singleton
|
Emil T. Akhmedov and Douglas Singleton
|
On the physical meaning of the Unruh effect
|
7 pages, 0 figures references added, small changes in text. To be
published JETP Letts
|
Pisma Zh.Eksp.Teor.Fiz.86:702-706,2007
|
10.1134/S0021364007210138
| null |
hep-th gr-qc physics.acc-ph
| null |
We present simple arguments that detectors moving with constant acceleration
(even acceleration for a finite time) should detect particles. The effect is
seen to be universal. Moreover, detectors undergoing linear acceleration and
uniform, circular motion both detect particles for the same physical reason. We
show that if one uses a circularly orbiting electron in a constant external
magnetic field as the Unruh--DeWitt detector, then the Unruh effect physically
coincides with the experimentally verified Sokolov--Ternov effect.
|
[
{
"created": "Thu, 17 May 2007 13:27:31 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Sep 2007 01:39:07 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Oct 2007 19:57:02 GMT",
"version": "v3"
}
] |
2009-11-13
|
[
[
"Akhmedov",
"Emil T.",
""
],
[
"Singleton",
"Douglas",
""
]
] |
We present simple arguments that detectors moving with constant acceleration (even acceleration for a finite time) should detect particles. The effect is seen to be universal. Moreover, detectors undergoing linear acceleration and uniform, circular motion both detect particles for the same physical reason. We show that if one uses a circularly orbiting electron in a constant external magnetic field as the Unruh--DeWitt detector, then the Unruh effect physically coincides with the experimentally verified Sokolov--Ternov effect.
|
2011.12878
|
F\"eanor Reuben Ares
|
F\"eanor Reuben Ares, Mark Hindmarsh, Carlos Hoyos, Niko Jokela
|
Gravitational waves from a holographic phase transition
|
36 pages, 17 figures
|
J. High Energ. Phys. 2021, 100 (2021)
|
10.1007/JHEP04(2021)100
|
HIP-2020-31/TH, Sussex-94886
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate first order phase transitions in a holographic setting of
five-dimensional Einstein gravity coupled to a scalar field, constructing phase
diagrams of the dual field theory at finite temperature. We scan over the
two-dimensional parameter space of a simple bottom-up model and map out
important quantities for the phase transition: the region where first order
phase transitions take place; the latent heat, the transition strength
parameter $\alpha$, and the stiffness. We find that $\alpha$ is generically in
the range 0.1 to 0.3, and is strongly correlated with the stiffness (the square
of the sound speed in a barotropic fluid). Using the LISA Cosmology Working
Group gravitational wave power spectrum model corrected for kinetic energy
suppression at large $\alpha$ and non-conformal stiffness, we outline the
observational prospects at the future space-based detectors LISA and TianQin. A
TeV-scale hidden sector with a phase transition described by the model could be
observable at both detectors.
|
[
{
"created": "Wed, 25 Nov 2020 16:54:35 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2020 11:44:50 GMT",
"version": "v2"
}
] |
2021-04-30
|
[
[
"Ares",
"Fëanor Reuben",
""
],
[
"Hindmarsh",
"Mark",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Jokela",
"Niko",
""
]
] |
We investigate first order phase transitions in a holographic setting of five-dimensional Einstein gravity coupled to a scalar field, constructing phase diagrams of the dual field theory at finite temperature. We scan over the two-dimensional parameter space of a simple bottom-up model and map out important quantities for the phase transition: the region where first order phase transitions take place; the latent heat, the transition strength parameter $\alpha$, and the stiffness. We find that $\alpha$ is generically in the range 0.1 to 0.3, and is strongly correlated with the stiffness (the square of the sound speed in a barotropic fluid). Using the LISA Cosmology Working Group gravitational wave power spectrum model corrected for kinetic energy suppression at large $\alpha$ and non-conformal stiffness, we outline the observational prospects at the future space-based detectors LISA and TianQin. A TeV-scale hidden sector with a phase transition described by the model could be observable at both detectors.
|
hep-th/0204234
|
Hiromitsu Takayanagi
|
Hiromitsu Takayanagi and Tadashi Takayanagi
|
Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave
Limit
|
Latex, 32 pages, typos corrected, references added, to appear in
JHEP, eq.(2.22) corrected
|
JHEP 0205 (2002) 012
|
10.1088/1126-6708/2002/05/012
|
UT-02-23
|
hep-th
| null |
In this paper we study the superstring version of the exactly solvable string
model constructed by Russo and Tseytlin. This model represents superstring
theory in a curved spacetime and can be seen as a generalization of the Melvin
background. We investigate D-branes in this model as probes of the background
geometry by constructing the boundary states. We find that spacetime
singularities in the model become smooth at high energy from the viewpoint of
open string. We show that there always exist bulk (movable) D-branes by the
effect of electric flux. The model also includes Nappi-Witten model as the
Penrose limit and supersymmetry is enhanced in the limit. We examine this
phenomenon in the open string spectrum. We also find the similar enhancement of
supersymmetry can be occurred in several coset models.
|
[
{
"created": "Mon, 29 Apr 2002 12:53:48 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2002 14:53:33 GMT",
"version": "v2"
},
{
"created": "Fri, 17 May 2002 08:11:30 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Jun 2002 12:00:25 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Takayanagi",
"Hiromitsu",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
In this paper we study the superstring version of the exactly solvable string model constructed by Russo and Tseytlin. This model represents superstring theory in a curved spacetime and can be seen as a generalization of the Melvin background. We investigate D-branes in this model as probes of the background geometry by constructing the boundary states. We find that spacetime singularities in the model become smooth at high energy from the viewpoint of open string. We show that there always exist bulk (movable) D-branes by the effect of electric flux. The model also includes Nappi-Witten model as the Penrose limit and supersymmetry is enhanced in the limit. We examine this phenomenon in the open string spectrum. We also find the similar enhancement of supersymmetry can be occurred in several coset models.
|
hep-th/0610278
|
Daniel Persson Mr
|
M. Henneaux, M. Leston, D. Persson and Ph. Spindel
|
A Special Class of Rank 10 and 11 Coxeter Groups
|
20 pages, Typos corrected, Erratum added correcting the total number
of rank 11 Coxeter graphs with incidence index 4
|
J.Math.Phys.48:053512,2007; J.Math.Phys.49:099901,2008
|
10.1063/1.2738754 10.1063/1.2982250
|
ULB-TH/06-26
|
hep-th math.GR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the course of investigating regular subalgebras of E(10) related to
cosmological solutions of 11-dimensional supergravity supporting an electric
4-form field, a class of rank 10 Coxeter subgroups of the Weyl group of E(10)
was uncovered (hep-th/0606123). These Coxeter groups all share the property
that their Coxeter graphs have incidence index 3, i.e. that each node is
incident to three and only three single lines. Furthermore, the Coxeter
exponents are either 2 or 3, but never infinity. We here go beyond subgroups of
the Weyl group of E(10) and classify all rank 10 Coxeter groups with these
properties. We find 21 distinct Coxeter groups of which 7 were already
described in hep-th/0606123. Moreover, we extend the classification to the rank
11 case and we find 252 inequivalent rank 11 Coxeter groups with incidence
index 4, of which at least 28 can be regularly embedded into E(11).
|
[
{
"created": "Thu, 26 Oct 2006 13:47:36 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Mar 2007 11:26:00 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Jun 2007 17:54:16 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Jun 2008 13:33:25 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Henneaux",
"M.",
""
],
[
"Leston",
"M.",
""
],
[
"Persson",
"D.",
""
],
[
"Spindel",
"Ph.",
""
]
] |
In the course of investigating regular subalgebras of E(10) related to cosmological solutions of 11-dimensional supergravity supporting an electric 4-form field, a class of rank 10 Coxeter subgroups of the Weyl group of E(10) was uncovered (hep-th/0606123). These Coxeter groups all share the property that their Coxeter graphs have incidence index 3, i.e. that each node is incident to three and only three single lines. Furthermore, the Coxeter exponents are either 2 or 3, but never infinity. We here go beyond subgroups of the Weyl group of E(10) and classify all rank 10 Coxeter groups with these properties. We find 21 distinct Coxeter groups of which 7 were already described in hep-th/0606123. Moreover, we extend the classification to the rank 11 case and we find 252 inequivalent rank 11 Coxeter groups with incidence index 4, of which at least 28 can be regularly embedded into E(11).
|
hep-th/9907193
|
Zhou Bin
|
Bihn Zhou and Chuan-Jie Zhu
|
An Application of the Schwarzian Derivative
|
8 pages, LaTeX, no figures
| null | null | null |
hep-th
| null |
In this note we present an application of the Schwarzian derivative. By
exploiting some properties of the Schwarzian derivative, we solve the equation
appearing in the gravity-dilaton-antisymmetric tensor system. We also mention
that this method can also be used to solve some other equations.
|
[
{
"created": "Tue, 27 Jul 1999 10:57:04 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zhou",
"Bihn",
""
],
[
"Zhu",
"Chuan-Jie",
""
]
] |
In this note we present an application of the Schwarzian derivative. By exploiting some properties of the Schwarzian derivative, we solve the equation appearing in the gravity-dilaton-antisymmetric tensor system. We also mention that this method can also be used to solve some other equations.
|
2401.04158
|
Ali Fatemiabhari
|
Ali Fatemiabhari and Carlos Nunez
|
From conformal to confining field theories using holography
|
32 pages, many extensive appendices; JHEP accepted version
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a new family of Type IIB backgrounds that are dual to five
dimensional conformal field theories compactified and deformed by VEVs of
certain operators. This generates an RG flow into a smooth background dual to
non-SUSY gapped field theories in four dimensions. We study various holographic
observables: a monotonic quantity associated with the number of degrees of
freedom, Wilson loops that interpolate between conformal and confining
behaviour with the possibility of screening, Entanglement Entropy, etc. We also
give a prescription to compute the Holographic Complexity in this type of
backgrounds and calculate the spectrum of spin-two glueballs of the field
theories.
|
[
{
"created": "Mon, 8 Jan 2024 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Mar 2024 15:51:44 GMT",
"version": "v2"
}
] |
2024-03-05
|
[
[
"Fatemiabhari",
"Ali",
""
],
[
"Nunez",
"Carlos",
""
]
] |
We construct a new family of Type IIB backgrounds that are dual to five dimensional conformal field theories compactified and deformed by VEVs of certain operators. This generates an RG flow into a smooth background dual to non-SUSY gapped field theories in four dimensions. We study various holographic observables: a monotonic quantity associated with the number of degrees of freedom, Wilson loops that interpolate between conformal and confining behaviour with the possibility of screening, Entanglement Entropy, etc. We also give a prescription to compute the Holographic Complexity in this type of backgrounds and calculate the spectrum of spin-two glueballs of the field theories.
|
hep-th/0407172
|
Brett D. Altschul
|
B. Altschul
|
Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and
CPT-Violating Electrodynamics
|
8 pages
|
Phys.Rev. D70 (2004) 101701
|
10.1103/PhysRevD.70.101701
|
IUHET-473
|
hep-th
| null |
We examine the nonperturbative structure of the radiatively induced
Chern-Simons term in a Lorentz- and CPT-violating modification of QED. Although
the coefficient of the induced Chern-Simons term is in general undetermined,
the nonperturbative theory appears to generate a definite value. However, the
CPT-even radiative corrections in this same formulation of the theory generally
break gauge invariance. We show that gauge invariance may yet be preserved
through the use of a Pauli-Villars regulator, and, contrary to earlier
expectations, this regulator does not necessarily give rise to a vanishing
Chern-Simons term. Instead, two possible values of the Chern-Simons coefficient
are allowed, one zero and one nonzero. This formulation of the theory therefore
allows the coefficient to vanish naturally, in agreement with experimental
observations.
|
[
{
"created": "Tue, 20 Jul 2004 19:04:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Altschul",
"B.",
""
]
] |
We examine the nonperturbative structure of the radiatively induced Chern-Simons term in a Lorentz- and CPT-violating modification of QED. Although the coefficient of the induced Chern-Simons term is in general undetermined, the nonperturbative theory appears to generate a definite value. However, the CPT-even radiative corrections in this same formulation of the theory generally break gauge invariance. We show that gauge invariance may yet be preserved through the use of a Pauli-Villars regulator, and, contrary to earlier expectations, this regulator does not necessarily give rise to a vanishing Chern-Simons term. Instead, two possible values of the Chern-Simons coefficient are allowed, one zero and one nonzero. This formulation of the theory therefore allows the coefficient to vanish naturally, in agreement with experimental observations.
|
hep-th/0504128
|
Claudia de Rham
|
Claudia de Rham, Samuel Webster
|
High-Energy theory for close Randall Sundrum branes
|
Version published in the Physical Review D
|
Phys.Rev. D71 (2005) 124025
|
10.1103/PhysRevD.71.124025
|
DAMTP-2005-41
|
hep-th
| null |
We obtain an effective theory for the radion dynamics of the two-brane
Randall Sundrum model, correct to all orders in brane velocity in the limit of
close separation, which is of interest for studying brane collisions and early
Universe cosmology. Obtained via a recursive solution of the Bulk equation of
motions, the resulting theory represents a simple extension of the
corresponding low-energy effective theory to the high energy regime. The
four-dimensional low-energy theory is indeed not valid when corrections at
second order in velocity are considered. This extension has the remarkable
property of including only second derivatives and powers of first order
derivatives. This important feature makes the theory particularly easy to
solve. We then extend the theory by introducing a potential and detuning the
branes.
|
[
{
"created": "Thu, 14 Apr 2005 11:37:38 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2005 17:12:09 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Jun 2005 10:31:14 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"de Rham",
"Claudia",
""
],
[
"Webster",
"Samuel",
""
]
] |
We obtain an effective theory for the radion dynamics of the two-brane Randall Sundrum model, correct to all orders in brane velocity in the limit of close separation, which is of interest for studying brane collisions and early Universe cosmology. Obtained via a recursive solution of the Bulk equation of motions, the resulting theory represents a simple extension of the corresponding low-energy effective theory to the high energy regime. The four-dimensional low-energy theory is indeed not valid when corrections at second order in velocity are considered. This extension has the remarkable property of including only second derivatives and powers of first order derivatives. This important feature makes the theory particularly easy to solve. We then extend the theory by introducing a potential and detuning the branes.
|
hep-th/9511108
|
Ignatios Antoniadis
|
I. Antoniadis, S. Ferrara and T.R. Taylor
|
N=2 Heterotic Superstring and its Dual Theory in Five Dimensions
|
26 pages, LaTeX
|
Nucl.Phys.B460:489-505,1996
|
10.1016/0550-3213(95)00659-1
|
CERN-TH/95-300, CPTH-S396.1195, LPTENS-95/49
|
hep-th
| null |
We study quantum effects in five dimensions in heterotic superstring theory
compactified on K_3 x S_1 and analyze the conjecture that its dual effective
theory is eleven-dimensional supergravity compactified on a Calabi-Yau
threefold. This theory is also equivalent to type II superstring theory
compactified on the same Calabi-Yau manifold, in an appropriate large volume
limit. In this limit the conifold singularity disappears and is replaced by a
singularity associated to enhanced gauge symmetries, as naively expected from
the heterotic description. Furthermore, we exhibit the existence of additional
massless states which appear in the strong coupling regime of the heterotic
theory and are related to a different type of singular points on Calabi-Yau
threefolds.
|
[
{
"created": "Wed, 15 Nov 1995 18:57:35 GMT",
"version": "v1"
}
] |
2011-05-05
|
[
[
"Antoniadis",
"I.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Taylor",
"T. R.",
""
]
] |
We study quantum effects in five dimensions in heterotic superstring theory compactified on K_3 x S_1 and analyze the conjecture that its dual effective theory is eleven-dimensional supergravity compactified on a Calabi-Yau threefold. This theory is also equivalent to type II superstring theory compactified on the same Calabi-Yau manifold, in an appropriate large volume limit. In this limit the conifold singularity disappears and is replaced by a singularity associated to enhanced gauge symmetries, as naively expected from the heterotic description. Furthermore, we exhibit the existence of additional massless states which appear in the strong coupling regime of the heterotic theory and are related to a different type of singular points on Calabi-Yau threefolds.
|
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